TSTP Solution File: HWV041+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV041+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 02:11:45 EDT 2022
% Result : Theorem 11.44s 7.48s
% Output : Proof 21.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV041+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 22:19:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 11.44/7.48 % SZS status Theorem
% 11.44/7.48 % SZS output start Proof
% 11.44/7.48 tff(v204_type, type, (
% 11.44/7.48 v204: $i > $o)).
% 11.44/7.48 tff(constB195_type, type, (
% 11.44/7.48 constB195: $i)).
% 11.44/7.48 tff(tptp_fun_VarCurr_0_type, type, (
% 11.44/7.48 tptp_fun_VarCurr_0: $i)).
% 11.44/7.48 tff(constB15_type, type, (
% 11.44/7.48 constB15: $i)).
% 11.44/7.48 tff(v82_type, type, (
% 11.44/7.48 v82: $i > $o)).
% 11.44/7.48 tff(reachableState_type, type, (
% 11.44/7.48 reachableState: $i > $o)).
% 11.44/7.48 tff(v209_type, type, (
% 11.44/7.48 v209: $i > $o)).
% 11.44/7.48 tff(v205_type, type, (
% 11.44/7.48 v205: $i > $o)).
% 11.44/7.48 tff(v206_type, type, (
% 11.44/7.48 v206: $i > $o)).
% 11.44/7.48 tff(v191_type, type, (
% 11.44/7.48 v191: $i > $o)).
% 11.44/7.48 tff(v196_type, type, (
% 11.44/7.48 v196: $i > $o)).
% 11.44/7.48 tff(v194_type, type, (
% 11.44/7.48 v194: $i > $o)).
% 11.44/7.48 tff(constB14_type, type, (
% 11.44/7.48 constB14: $i)).
% 11.44/7.48 tff(nextState_type, type, (
% 11.44/7.48 nextState: ( $i * $i ) > $o)).
% 11.44/7.48 tff(v198_type, type, (
% 11.44/7.48 v198: $i > $o)).
% 11.44/7.48 tff(v197_type, type, (
% 11.44/7.48 v197: $i > $o)).
% 11.44/7.48 tff(v199_type, type, (
% 11.44/7.48 v199: $i > $o)).
% 11.44/7.48 tff(v158_type, type, (
% 11.44/7.48 v158: $i > $o)).
% 11.44/7.48 tff(v200_type, type, (
% 11.44/7.48 v200: $i > $o)).
% 11.44/7.48 tff(v186_type, type, (
% 11.44/7.48 v186: $i > $o)).
% 11.44/7.48 tff(v84_type, type, (
% 11.44/7.48 v84: $i > $o)).
% 11.44/7.48 tff(v184_type, type, (
% 11.44/7.48 v184: $i > $o)).
% 11.44/7.48 tff(v9_type, type, (
% 11.44/7.48 v9: $i > $o)).
% 11.44/7.48 tff(v39_type, type, (
% 11.44/7.48 v39: $i > $o)).
% 11.44/7.48 tff(v1_type, type, (
% 11.44/7.48 v1: $i > $o)).
% 11.44/7.48 tff(v182_type, type, (
% 11.44/7.48 v182: $i > $o)).
% 11.44/7.48 tff(constB13_type, type, (
% 11.44/7.48 constB13: $i)).
% 11.44/7.48 tff(v183_type, type, (
% 11.44/7.48 v183: $i > $o)).
% 11.44/7.48 tff(v26_type, type, (
% 11.44/7.48 v26: $i > $o)).
% 11.44/7.48 tff(v13_type, type, (
% 11.44/7.48 v13: $i > $o)).
% 11.44/7.48 tff(v6_type, type, (
% 11.44/7.48 v6: $i > $o)).
% 11.44/7.48 tff(v21_type, type, (
% 11.44/7.48 v21: $i > $o)).
% 11.44/7.48 tff(v20_type, type, (
% 11.44/7.48 v20: $i > $o)).
% 11.44/7.48 tff(v19_type, type, (
% 11.44/7.48 v19: $i > $o)).
% 11.44/7.48 tff(v22_type, type, (
% 11.44/7.48 v22: $i > $o)).
% 11.44/7.48 tff(v18_type, type, (
% 11.44/7.48 v18: $i > $o)).
% 11.44/7.48 tff(v4_type, type, (
% 11.44/7.48 v4: $i > $o)).
% 11.44/7.48 tff(v180_type, type, (
% 11.44/7.48 v180: $i > $o)).
% 11.44/7.48 tff(v178_type, type, (
% 11.44/7.48 v178: $i > $o)).
% 11.44/7.48 tff(constB12_type, type, (
% 11.44/7.48 constB12: $i)).
% 11.44/7.48 tff(v185_type, type, (
% 11.44/7.48 v185: $i > $o)).
% 11.44/7.48 tff(v181_type, type, (
% 11.44/7.48 v181: $i > $o)).
% 11.44/7.48 tff(v187_type, type, (
% 11.44/7.48 v187: $i > $o)).
% 11.44/7.48 tff(v160_type, type, (
% 11.44/7.48 v160: $i > $o)).
% 11.44/7.48 tff(constB11_type, type, (
% 11.44/7.48 constB11: $i)).
% 11.44/7.48 tff(v162_type, type, (
% 11.44/7.48 v162: $i > $o)).
% 11.44/7.48 tff(v169_type, type, (
% 11.44/7.48 v169: $i > $o)).
% 11.44/7.48 tff(v141_type, type, (
% 11.44/7.48 v141: $i > $o)).
% 11.44/7.48 tff(v88_type, type, (
% 11.44/7.48 v88: ( $i * $i ) > $o)).
% 11.44/7.48 tff(bitIndex0_type, type, (
% 11.44/7.48 bitIndex0: $i)).
% 11.44/7.48 tff(bitIndex1_type, type, (
% 11.44/7.48 bitIndex1: $i)).
% 11.44/7.48 tff(bitIndex2_type, type, (
% 11.44/7.48 bitIndex2: $i)).
% 11.44/7.48 tff(v90_type, type, (
% 11.44/7.48 v90: ( $i * $i ) > $o)).
% 11.44/7.48 tff(less_3_type, type, (
% 11.44/7.48 less_3: $i > $o)).
% 11.44/7.48 tff(constB10_type, type, (
% 11.44/7.48 constB10: $i)).
% 11.44/7.48 tff(v100_type, type, (
% 11.44/7.48 v100: $i > $o)).
% 11.44/7.48 tff(v110_type, type, (
% 11.44/7.48 v110: $i > $o)).
% 11.44/7.48 tff(v101_type, type, (
% 11.44/7.48 v101: $i > $o)).
% 11.44/7.48 tff(v102_type, type, (
% 11.44/7.48 v102: $i > $o)).
% 11.44/7.48 tff(v129_type, type, (
% 11.44/7.48 v129: ( $i * $i ) > $o)).
% 11.44/7.48 tff(constB9_type, type, (
% 11.44/7.48 constB9: $i)).
% 11.44/7.48 tff(v104_type, type, (
% 11.44/7.48 v104: $i > $o)).
% 11.44/7.48 tff(v108_type, type, (
% 11.44/7.48 v108: $i > $o)).
% 11.44/7.48 tff(v112_type, type, (
% 11.44/7.48 v112: $i > $o)).
% 11.44/7.48 tff(v111_type, type, (
% 11.44/7.48 v111: $i > $o)).
% 11.44/7.48 tff(v126_type, type, (
% 11.44/7.48 v126: $i > $o)).
% 11.44/7.48 tff(v113_type, type, (
% 11.44/7.48 v113: $i > $o)).
% 11.44/7.48 tff(v125_type, type, (
% 11.44/7.48 v125: $i > $o)).
% 11.44/7.48 tff(v114_type, type, (
% 11.44/7.48 v114: $i > $o)).
% 11.44/7.48 tff(v124_type, type, (
% 11.44/7.48 v124: $i > $o)).
% 11.44/7.48 tff(v115_type, type, (
% 11.44/7.48 v115: $i > $o)).
% 11.44/7.48 tff(v123_type, type, (
% 11.44/7.48 v123: $i > $o)).
% 11.44/7.48 tff(v116_type, type, (
% 11.44/7.48 v116: $i > $o)).
% 11.44/7.48 tff(constB8_type, type, (
% 11.44/7.48 constB8: $i)).
% 11.44/7.48 tff(constB7_type, type, (
% 11.44/7.48 constB7: $i)).
% 11.44/7.48 tff(v122_type, type, (
% 11.44/7.48 v122: $i > $o)).
% 11.44/7.48 tff(v117_type, type, (
% 11.44/7.48 v117: $i > $o)).
% 11.44/7.48 tff(constB6_type, type, (
% 11.44/7.48 constB6: $i)).
% 11.44/7.48 tff(constB5_type, type, (
% 11.44/7.48 constB5: $i)).
% 11.44/7.48 tff(v121_type, type, (
% 11.44/7.48 v121: $i > $o)).
% 11.44/7.48 tff(v118_type, type, (
% 11.44/7.48 v118: $i > $o)).
% 11.44/7.48 tff(constB4_type, type, (
% 11.44/7.48 constB4: $i)).
% 11.44/7.48 tff(constB3_type, type, (
% 11.44/7.48 constB3: $i)).
% 11.44/7.48 tff(v120_type, type, (
% 11.44/7.48 v120: $i > $o)).
% 11.44/7.48 tff(v119_type, type, (
% 11.44/7.48 v119: $i > $o)).
% 11.44/7.48 tff(constB2_type, type, (
% 11.44/7.48 constB2: $i)).
% 11.44/7.48 tff(constB1_type, type, (
% 11.44/7.48 constB1: $i)).
% 11.44/7.48 tff(constB0_type, type, (
% 11.44/7.48 constB0: $i)).
% 11.44/7.48 tff(v127_type, type, (
% 11.44/7.48 v127: ( $i * $i ) > $o)).
% 11.44/7.48 tff(v130_type, type, (
% 11.44/7.48 v130: ( $i * $i ) > $o)).
% 11.44/7.48 tff(b001_type, type, (
% 11.44/7.48 b001: $i > $o)).
% 11.44/7.48 tff(b010_type, type, (
% 11.44/7.48 b010: $i > $o)).
% 11.44/7.48 tff(b011_type, type, (
% 11.44/7.48 b011: $i > $o)).
% 11.44/7.48 tff(b100_type, type, (
% 11.44/7.48 b100: $i > $o)).
% 11.44/7.48 tff(b101_type, type, (
% 11.44/7.48 b101: $i > $o)).
% 11.44/7.48 tff(v170_type, type, (
% 11.44/7.48 v170: $i > $o)).
% 11.44/7.48 tff(v140_type, type, (
% 11.44/7.48 v140: $i > $o)).
% 11.44/7.48 tff(v139_type, type, (
% 11.44/7.48 v139: $i > $o)).
% 11.44/7.48 tff(v165_type, type, (
% 11.44/7.48 v165: $i > $o)).
% 11.44/7.48 tff(v166_type, type, (
% 11.44/7.48 v166: $i > $o)).
% 11.44/7.48 tff(v145_type, type, (
% 11.44/7.48 v145: $i > $o)).
% 11.44/7.48 tff(v147_type, type, (
% 11.44/7.48 v147: $i > $o)).
% 11.44/7.48 tff(v146_type, type, (
% 11.44/7.48 v146: $i > $o)).
% 11.44/7.48 tff(b110_type, type, (
% 11.44/7.48 b110: $i > $o)).
% 11.44/7.48 tff(v167_type, type, (
% 11.44/7.48 v167: $i > $o)).
% 11.44/7.48 tff(v142_type, type, (
% 11.44/7.48 v142: $i > $o)).
% 11.44/7.48 tff(v144_type, type, (
% 11.44/7.48 v144: $i > $o)).
% 11.44/7.48 tff(v143_type, type, (
% 11.44/7.48 v143: $i > $o)).
% 11.44/7.48 tff(constB117_type, type, (
% 11.44/7.48 constB117: $i)).
% 11.44/7.48 tff(constB116_type, type, (
% 11.44/7.48 constB116: $i)).
% 11.44/7.48 tff(constB115_type, type, (
% 11.44/7.48 constB115: $i)).
% 11.44/7.48 tff(constB114_type, type, (
% 11.44/7.48 constB114: $i)).
% 11.44/7.48 tff(constB113_type, type, (
% 11.44/7.48 constB113: $i)).
% 11.44/7.48 tff(constB112_type, type, (
% 11.44/7.48 constB112: $i)).
% 11.44/7.48 tff(constB111_type, type, (
% 11.44/7.48 constB111: $i)).
% 11.44/7.48 tff(constB110_type, type, (
% 11.44/7.48 constB110: $i)).
% 11.44/7.48 tff(constB109_type, type, (
% 11.44/7.48 constB109: $i)).
% 11.44/7.48 tff(constB108_type, type, (
% 11.44/7.48 constB108: $i)).
% 11.44/7.48 tff(constB107_type, type, (
% 11.44/7.48 constB107: $i)).
% 11.44/7.48 tff(constB106_type, type, (
% 11.44/7.48 constB106: $i)).
% 11.44/7.48 tff(constB105_type, type, (
% 11.44/7.48 constB105: $i)).
% 11.44/7.48 tff(constB104_type, type, (
% 11.44/7.48 constB104: $i)).
% 11.44/7.48 tff(constB103_type, type, (
% 11.44/7.48 constB103: $i)).
% 11.44/7.48 tff(constB102_type, type, (
% 11.44/7.48 constB102: $i)).
% 11.44/7.48 tff(constB101_type, type, (
% 11.44/7.48 constB101: $i)).
% 11.44/7.48 tff(constB100_type, type, (
% 11.44/7.48 constB100: $i)).
% 11.44/7.48 tff(constB99_type, type, (
% 11.44/7.48 constB99: $i)).
% 11.44/7.48 tff(constB98_type, type, (
% 11.44/7.48 constB98: $i)).
% 11.44/7.48 tff(constB97_type, type, (
% 11.44/7.48 constB97: $i)).
% 11.44/7.48 tff(constB96_type, type, (
% 11.44/7.48 constB96: $i)).
% 11.44/7.48 tff(constB95_type, type, (
% 11.44/7.48 constB95: $i)).
% 11.44/7.48 tff(constB94_type, type, (
% 11.44/7.48 constB94: $i)).
% 11.44/7.48 tff(constB93_type, type, (
% 11.44/7.48 constB93: $i)).
% 11.44/7.48 tff(constB92_type, type, (
% 11.44/7.48 constB92: $i)).
% 11.44/7.48 tff(constB91_type, type, (
% 11.44/7.48 constB91: $i)).
% 11.44/7.48 tff(constB90_type, type, (
% 11.44/7.48 constB90: $i)).
% 11.44/7.48 tff(constB89_type, type, (
% 11.44/7.48 constB89: $i)).
% 11.44/7.48 tff(constB88_type, type, (
% 11.44/7.48 constB88: $i)).
% 11.44/7.48 tff(constB87_type, type, (
% 11.44/7.48 constB87: $i)).
% 11.44/7.48 tff(constB86_type, type, (
% 11.44/7.48 constB86: $i)).
% 11.44/7.48 tff(constB85_type, type, (
% 11.44/7.48 constB85: $i)).
% 11.44/7.48 tff(constB84_type, type, (
% 11.44/7.48 constB84: $i)).
% 11.44/7.48 tff(constB83_type, type, (
% 11.44/7.48 constB83: $i)).
% 11.44/7.48 tff(constB82_type, type, (
% 11.44/7.48 constB82: $i)).
% 11.44/7.48 tff(constB81_type, type, (
% 11.44/7.48 constB81: $i)).
% 11.44/7.48 tff(constB80_type, type, (
% 11.44/7.48 constB80: $i)).
% 11.44/7.48 tff(constB79_type, type, (
% 11.44/7.48 constB79: $i)).
% 11.44/7.48 tff(constB78_type, type, (
% 11.44/7.48 constB78: $i)).
% 11.44/7.48 tff(constB77_type, type, (
% 11.44/7.48 constB77: $i)).
% 11.44/7.48 tff(constB76_type, type, (
% 11.44/7.48 constB76: $i)).
% 11.44/7.48 tff(constB75_type, type, (
% 11.44/7.48 constB75: $i)).
% 11.44/7.48 tff(constB74_type, type, (
% 11.44/7.48 constB74: $i)).
% 11.44/7.48 tff(constB73_type, type, (
% 11.44/7.48 constB73: $i)).
% 11.44/7.48 tff(constB72_type, type, (
% 11.44/7.48 constB72: $i)).
% 11.44/7.48 tff(constB71_type, type, (
% 11.44/7.48 constB71: $i)).
% 11.44/7.48 tff(constB70_type, type, (
% 11.44/7.48 constB70: $i)).
% 11.44/7.48 tff(constB69_type, type, (
% 11.44/7.48 constB69: $i)).
% 11.44/7.48 tff(constB68_type, type, (
% 11.44/7.48 constB68: $i)).
% 11.44/7.48 tff(constB67_type, type, (
% 11.44/7.48 constB67: $i)).
% 11.44/7.48 tff(constB66_type, type, (
% 11.44/7.48 constB66: $i)).
% 11.44/7.48 tff(constB65_type, type, (
% 11.44/7.48 constB65: $i)).
% 11.44/7.48 tff(constB64_type, type, (
% 11.44/7.48 constB64: $i)).
% 11.44/7.48 tff(constB63_type, type, (
% 11.44/7.48 constB63: $i)).
% 11.44/7.48 tff(constB62_type, type, (
% 11.44/7.48 constB62: $i)).
% 11.44/7.48 tff(constB61_type, type, (
% 11.44/7.48 constB61: $i)).
% 11.44/7.48 tff(constB60_type, type, (
% 11.44/7.48 constB60: $i)).
% 11.44/7.48 tff(constB59_type, type, (
% 11.44/7.48 constB59: $i)).
% 11.44/7.48 tff(constB58_type, type, (
% 11.44/7.48 constB58: $i)).
% 11.44/7.48 tff(constB57_type, type, (
% 11.44/7.48 constB57: $i)).
% 11.44/7.48 tff(constB56_type, type, (
% 11.44/7.48 constB56: $i)).
% 11.44/7.48 tff(constB55_type, type, (
% 11.44/7.48 constB55: $i)).
% 11.44/7.48 tff(constB54_type, type, (
% 11.44/7.48 constB54: $i)).
% 11.44/7.48 tff(constB53_type, type, (
% 11.44/7.48 constB53: $i)).
% 11.44/7.48 tff(constB52_type, type, (
% 11.44/7.48 constB52: $i)).
% 11.44/7.48 tff(constB51_type, type, (
% 11.44/7.48 constB51: $i)).
% 11.44/7.48 tff(constB50_type, type, (
% 11.44/7.48 constB50: $i)).
% 11.44/7.48 tff(constB49_type, type, (
% 11.44/7.48 constB49: $i)).
% 11.44/7.48 tff(constB48_type, type, (
% 11.44/7.48 constB48: $i)).
% 11.44/7.48 tff(constB47_type, type, (
% 11.44/7.48 constB47: $i)).
% 11.44/7.48 tff(constB46_type, type, (
% 11.44/7.48 constB46: $i)).
% 11.44/7.48 tff(constB45_type, type, (
% 11.44/7.48 constB45: $i)).
% 11.44/7.49 tff(constB44_type, type, (
% 11.44/7.49 constB44: $i)).
% 11.44/7.49 tff(constB43_type, type, (
% 11.44/7.49 constB43: $i)).
% 11.44/7.49 tff(constB42_type, type, (
% 11.44/7.49 constB42: $i)).
% 11.44/7.49 tff(constB41_type, type, (
% 11.44/7.49 constB41: $i)).
% 11.44/7.49 tff(constB40_type, type, (
% 11.44/7.49 constB40: $i)).
% 11.44/7.49 tff(constB39_type, type, (
% 11.44/7.49 constB39: $i)).
% 11.44/7.49 tff(constB38_type, type, (
% 11.44/7.49 constB38: $i)).
% 11.44/7.49 tff(constB37_type, type, (
% 11.44/7.49 constB37: $i)).
% 11.44/7.49 tff(constB36_type, type, (
% 11.44/7.49 constB36: $i)).
% 11.44/7.49 tff(constB35_type, type, (
% 11.44/7.49 constB35: $i)).
% 11.44/7.49 tff(constB34_type, type, (
% 11.44/7.49 constB34: $i)).
% 11.44/7.49 tff(constB33_type, type, (
% 11.44/7.49 constB33: $i)).
% 11.44/7.49 tff(constB32_type, type, (
% 11.44/7.49 constB32: $i)).
% 11.44/7.49 tff(constB31_type, type, (
% 11.44/7.49 constB31: $i)).
% 11.44/7.49 tff(constB30_type, type, (
% 11.44/7.49 constB30: $i)).
% 11.44/7.49 tff(constB29_type, type, (
% 11.44/7.49 constB29: $i)).
% 11.44/7.49 tff(constB28_type, type, (
% 11.44/7.49 constB28: $i)).
% 11.44/7.49 tff(constB27_type, type, (
% 11.44/7.49 constB27: $i)).
% 11.44/7.49 tff(constB26_type, type, (
% 11.44/7.49 constB26: $i)).
% 11.44/7.49 tff(constB25_type, type, (
% 11.44/7.49 constB25: $i)).
% 11.44/7.49 tff(constB24_type, type, (
% 11.44/7.49 constB24: $i)).
% 11.44/7.49 tff(constB23_type, type, (
% 11.44/7.49 constB23: $i)).
% 11.44/7.49 tff(constB22_type, type, (
% 11.44/7.49 constB22: $i)).
% 11.44/7.49 tff(constB21_type, type, (
% 11.44/7.49 constB21: $i)).
% 11.44/7.49 tff(constB20_type, type, (
% 11.44/7.49 constB20: $i)).
% 11.44/7.49 tff(constB19_type, type, (
% 11.44/7.49 constB19: $i)).
% 11.44/7.49 tff(constB18_type, type, (
% 11.44/7.49 constB18: $i)).
% 11.44/7.49 tff(constB17_type, type, (
% 11.44/7.49 constB17: $i)).
% 11.44/7.49 tff(constB16_type, type, (
% 11.44/7.49 constB16: $i)).
% 11.44/7.49 tff(v207_type, type, (
% 11.44/7.49 v207: $i > $o)).
% 11.44/7.49 tff(v208_type, type, (
% 11.44/7.49 v208: $i > $o)).
% 11.44/7.49 tff(v86_type, type, (
% 11.44/7.49 v86: $i > $o)).
% 11.44/7.49 tff(v148_type, type, (
% 11.44/7.49 v148: $i > $o)).
% 11.44/7.49 tff(v135_type, type, (
% 11.44/7.49 v135: $i > $o)).
% 11.44/7.49 tff(v136_type, type, (
% 11.44/7.49 v136: $i > $o)).
% 11.44/7.49 tff(v149_type, type, (
% 11.44/7.49 v149: $i > $o)).
% 11.44/7.49 tff(v151_type, type, (
% 11.44/7.49 v151: $i > $o)).
% 11.44/7.49 tff(v152_type, type, (
% 11.44/7.49 v152: $i > $o)).
% 11.44/7.49 tff(v137_type, type, (
% 11.44/7.49 v137: $i > $o)).
% 11.44/7.49 tff(v138_type, type, (
% 11.44/7.49 v138: $i > $o)).
% 11.44/7.49 tff(constB127_type, type, (
% 11.44/7.49 constB127: $i)).
% 11.44/7.49 tff(constB126_type, type, (
% 11.44/7.49 constB126: $i)).
% 11.44/7.49 tff(constB125_type, type, (
% 11.44/7.49 constB125: $i)).
% 11.44/7.49 tff(constB124_type, type, (
% 11.44/7.49 constB124: $i)).
% 11.44/7.49 tff(constB123_type, type, (
% 11.44/7.49 constB123: $i)).
% 11.44/7.49 tff(constB122_type, type, (
% 11.44/7.49 constB122: $i)).
% 11.44/7.49 tff(constB121_type, type, (
% 11.44/7.49 constB121: $i)).
% 11.44/7.49 tff(constB120_type, type, (
% 11.44/7.49 constB120: $i)).
% 11.44/7.49 tff(constB119_type, type, (
% 11.44/7.49 constB119: $i)).
% 11.44/7.49 tff(constB118_type, type, (
% 11.44/7.49 constB118: $i)).
% 11.44/7.49 tff(v168_type, type, (
% 11.44/7.49 v168: $i > $o)).
% 11.44/7.49 tff(constB163_type, type, (
% 11.44/7.49 constB163: $i)).
% 11.44/7.49 tff(constB162_type, type, (
% 11.44/7.49 constB162: $i)).
% 11.44/7.49 tff(constB161_type, type, (
% 11.44/7.49 constB161: $i)).
% 11.44/7.49 tff(constB160_type, type, (
% 11.44/7.49 constB160: $i)).
% 11.44/7.49 tff(constB159_type, type, (
% 11.44/7.49 constB159: $i)).
% 11.44/7.49 tff(constB158_type, type, (
% 11.44/7.49 constB158: $i)).
% 11.44/7.49 tff(constB157_type, type, (
% 11.44/7.49 constB157: $i)).
% 11.44/7.49 tff(constB156_type, type, (
% 11.44/7.49 constB156: $i)).
% 11.44/7.49 tff(constB155_type, type, (
% 11.44/7.49 constB155: $i)).
% 11.44/7.49 tff(constB154_type, type, (
% 11.44/7.49 constB154: $i)).
% 11.44/7.49 tff(constB153_type, type, (
% 11.44/7.49 constB153: $i)).
% 11.44/7.49 tff(constB152_type, type, (
% 11.44/7.49 constB152: $i)).
% 11.44/7.49 tff(constB151_type, type, (
% 11.44/7.49 constB151: $i)).
% 11.44/7.49 tff(constB150_type, type, (
% 11.44/7.49 constB150: $i)).
% 11.44/7.49 tff(constB149_type, type, (
% 11.44/7.49 constB149: $i)).
% 11.44/7.49 tff(constB148_type, type, (
% 11.44/7.49 constB148: $i)).
% 11.44/7.49 tff(constB147_type, type, (
% 11.44/7.49 constB147: $i)).
% 11.44/7.49 tff(constB146_type, type, (
% 11.44/7.49 constB146: $i)).
% 11.44/7.49 tff(constB145_type, type, (
% 11.44/7.49 constB145: $i)).
% 11.44/7.49 tff(constB144_type, type, (
% 11.44/7.49 constB144: $i)).
% 11.44/7.49 tff(constB143_type, type, (
% 11.44/7.49 constB143: $i)).
% 11.44/7.49 tff(constB142_type, type, (
% 11.44/7.49 constB142: $i)).
% 11.44/7.49 tff(constB141_type, type, (
% 11.44/7.49 constB141: $i)).
% 11.44/7.49 tff(constB140_type, type, (
% 11.44/7.49 constB140: $i)).
% 11.44/7.49 tff(constB139_type, type, (
% 11.44/7.49 constB139: $i)).
% 11.44/7.49 tff(constB138_type, type, (
% 11.44/7.49 constB138: $i)).
% 11.44/7.49 tff(constB137_type, type, (
% 11.44/7.49 constB137: $i)).
% 11.44/7.49 tff(constB136_type, type, (
% 11.44/7.49 constB136: $i)).
% 11.44/7.49 tff(constB135_type, type, (
% 11.44/7.49 constB135: $i)).
% 11.44/7.49 tff(constB134_type, type, (
% 11.44/7.49 constB134: $i)).
% 11.44/7.49 tff(constB133_type, type, (
% 11.44/7.49 constB133: $i)).
% 11.44/7.49 tff(constB132_type, type, (
% 11.44/7.49 constB132: $i)).
% 11.44/7.49 tff(constB131_type, type, (
% 11.44/7.49 constB131: $i)).
% 11.44/7.49 tff(constB130_type, type, (
% 11.44/7.49 constB130: $i)).
% 11.44/7.49 tff(constB129_type, type, (
% 11.44/7.49 constB129: $i)).
% 11.44/7.49 tff(constB128_type, type, (
% 11.44/7.49 constB128: $i)).
% 11.44/7.49 tff(constB172_type, type, (
% 11.44/7.49 constB172: $i)).
% 11.44/7.49 tff(constB173_type, type, (
% 11.44/7.49 constB173: $i)).
% 11.44/7.49 tff(constB171_type, type, (
% 11.44/7.49 constB171: $i)).
% 11.44/7.49 tff(constB170_type, type, (
% 11.44/7.49 constB170: $i)).
% 11.44/7.49 tff(constB169_type, type, (
% 11.44/7.49 constB169: $i)).
% 11.44/7.49 tff(constB168_type, type, (
% 11.44/7.49 constB168: $i)).
% 11.44/7.49 tff(constB167_type, type, (
% 11.44/7.49 constB167: $i)).
% 11.44/7.49 tff(constB166_type, type, (
% 11.44/7.49 constB166: $i)).
% 11.44/7.49 tff(constB165_type, type, (
% 11.44/7.49 constB165: $i)).
% 11.44/7.49 tff(constB164_type, type, (
% 11.44/7.49 constB164: $i)).
% 11.44/7.49 tff(constB187_type, type, (
% 11.44/7.49 constB187: $i)).
% 11.44/7.49 tff(constB186_type, type, (
% 11.44/7.49 constB186: $i)).
% 11.44/7.49 tff(constB185_type, type, (
% 11.44/7.49 constB185: $i)).
% 11.44/7.49 tff(constB184_type, type, (
% 11.44/7.49 constB184: $i)).
% 11.44/7.49 tff(constB183_type, type, (
% 11.44/7.49 constB183: $i)).
% 11.44/7.49 tff(constB182_type, type, (
% 11.44/7.49 constB182: $i)).
% 11.44/7.49 tff(constB181_type, type, (
% 11.44/7.49 constB181: $i)).
% 11.44/7.49 tff(constB180_type, type, (
% 11.44/7.49 constB180: $i)).
% 11.44/7.49 tff(constB179_type, type, (
% 11.44/7.49 constB179: $i)).
% 11.44/7.49 tff(constB178_type, type, (
% 11.44/7.49 constB178: $i)).
% 11.44/7.49 tff(constB177_type, type, (
% 11.44/7.49 constB177: $i)).
% 11.44/7.49 tff(constB176_type, type, (
% 11.44/7.49 constB176: $i)).
% 11.44/7.49 tff(constB175_type, type, (
% 11.44/7.49 constB175: $i)).
% 11.44/7.49 tff(constB174_type, type, (
% 11.44/7.49 constB174: $i)).
% 11.44/7.49 tff(constB193_type, type, (
% 11.44/7.49 constB193: $i)).
% 11.44/7.49 tff(constB192_type, type, (
% 11.44/7.49 constB192: $i)).
% 11.44/7.49 tff(constB191_type, type, (
% 11.44/7.49 constB191: $i)).
% 11.44/7.49 tff(constB190_type, type, (
% 11.44/7.49 constB190: $i)).
% 11.44/7.49 tff(constB189_type, type, (
% 11.44/7.49 constB189: $i)).
% 11.44/7.49 tff(constB188_type, type, (
% 11.44/7.49 constB188: $i)).
% 11.44/7.49 tff(constB197_type, type, (
% 11.44/7.49 constB197: $i)).
% 11.44/7.49 tff(constB196_type, type, (
% 11.44/7.49 constB196: $i)).
% 11.44/7.49 tff(constB194_type, type, (
% 11.44/7.49 constB194: $i)).
% 11.44/7.49 tff(constB200_type, type, (
% 11.44/7.49 constB200: $i)).
% 11.44/7.49 tff(constB198_type, type, (
% 11.44/7.49 constB198: $i)).
% 11.44/7.49 tff(constB199_type, type, (
% 11.44/7.49 constB199: $i)).
% 11.44/7.49 tff(1,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 11.44/7.49 tff(2,plain,
% 11.44/7.49 (v204(constB15) <=> v204(VarCurr!0)),
% 11.44/7.49 inference(monotonicity,[status(thm)],[1])).
% 11.44/7.49 tff(3,plain,
% 11.44/7.49 (v204(VarCurr!0) <=> v204(constB15)),
% 11.44/7.49 inference(symmetry,[status(thm)],[2])).
% 11.44/7.49 tff(4,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl(((~v82(VarCurr)) <=> v204(VarCurr)) <=> ((~v82(VarCurr)) <=> v204(VarCurr)))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(5,plain,
% 11.44/7.49 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[4])).
% 11.44/7.49 tff(6,plain,
% 11.44/7.49 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(7,axiom,(![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 11.44/7.49 tff(8,plain,
% 11.44/7.49 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[7, 6])).
% 11.44/7.49 tff(9,plain,(
% 11.44/7.49 ![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))),
% 11.44/7.49 inference(skolemize,[status(sab)],[8])).
% 11.44/7.49 tff(10,plain,
% 11.44/7.49 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[9, 5])).
% 11.44/7.49 tff(11,plain,
% 11.44/7.49 ((~![VarCurr: $i] : ((~v82(VarCurr)) <=> v204(VarCurr))) | ((~v82(VarCurr!0)) <=> v204(VarCurr!0))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(12,plain,
% 11.44/7.49 ((~v82(VarCurr!0)) <=> v204(VarCurr!0)),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[11, 10])).
% 11.44/7.49 tff(13,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(14,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(15,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion')).
% 11.44/7.49 tff(16,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[15, 14])).
% 11.44/7.49 tff(17,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[16, 13])).
% 11.44/7.49 tff(18,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[17, 13])).
% 11.44/7.49 tff(19,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[18, 13])).
% 11.44/7.49 tff(20,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[19, 13])).
% 11.44/7.49 tff(21,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[20, 13])).
% 11.44/7.49 tff(22,plain,
% 11.44/7.49 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[21, 13])).
% 11.44/7.49 tff(23,plain,(
% 11.44/7.49 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[22])).
% 11.44/7.49 tff(24,plain,
% 11.44/7.49 (~v82(VarCurr!0)),
% 11.44/7.49 inference(or_elim,[status(thm)],[23])).
% 11.44/7.49 tff(25,plain,
% 11.44/7.49 ((~((~v82(VarCurr!0)) <=> v204(VarCurr!0))) | v82(VarCurr!0) | v204(VarCurr!0)),
% 11.44/7.49 inference(tautology,[status(thm)],[])).
% 11.44/7.49 tff(26,plain,
% 11.44/7.49 ((~((~v82(VarCurr!0)) <=> v204(VarCurr!0))) | v204(VarCurr!0)),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[25, 24])).
% 11.44/7.49 tff(27,plain,
% 11.44/7.49 (v204(VarCurr!0)),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[26, 12])).
% 11.44/7.49 tff(28,plain,
% 11.44/7.49 (v204(constB15)),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[27, 3])).
% 11.44/7.49 tff(29,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr))) <=> (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(30,plain,
% 11.44/7.49 (![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr))) <=> ![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[29])).
% 11.44/7.49 tff(31,plain,
% 11.44/7.49 (![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr))) <=> ![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(32,axiom,(![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_58')).
% 11.44/7.49 tff(33,plain,
% 11.44/7.49 (![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[32, 31])).
% 11.44/7.49 tff(34,plain,(
% 11.44/7.49 ![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[33])).
% 11.44/7.49 tff(35,plain,
% 11.44/7.49 (![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[34, 30])).
% 11.44/7.49 tff(36,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB15) <=> (v205(constB15) | v209(constB15)))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(37,plain,
% 11.44/7.49 (v204(constB15) <=> (v205(constB15) | v209(constB15))),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[36, 35])).
% 11.44/7.49 tff(38,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr))))) <=> (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(39,plain,
% 11.44/7.49 (![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr))))) <=> ![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[38])).
% 11.44/7.49 tff(40,plain,
% 11.44/7.49 (^[VarCurr: $i] : rewrite((v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr))) <=> (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(41,plain,
% 11.44/7.49 (![VarCurr: $i] : (v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr))) <=> ![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[40])).
% 11.44/7.49 tff(42,plain,
% 11.44/7.49 (![VarCurr: $i] : (v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr))) <=> ![VarCurr: $i] : (v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(43,axiom,(![VarCurr: $i] : (v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_57')).
% 11.44/7.49 tff(44,plain,
% 11.44/7.49 (![VarCurr: $i] : (v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[43, 42])).
% 11.44/7.49 tff(45,plain,(
% 11.44/7.49 ![VarCurr: $i] : (v209(VarCurr) <=> (v206(VarCurr) & v191(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[44])).
% 11.44/7.49 tff(46,plain,
% 11.44/7.49 (![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[45, 41])).
% 11.44/7.49 tff(47,plain,
% 11.44/7.49 (![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[46, 39])).
% 11.44/7.49 tff(48,plain,
% 11.44/7.49 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15))))))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(49,plain,
% 11.44/7.49 ((v209(constB15) <=> (~((~v206(constB15)) | (~v191(constB15))))) <=> (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15)))))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(50,plain,
% 11.44/7.49 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v206(constB15)) | (~v191(constB15)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15))))))),
% 11.44/7.49 inference(monotonicity,[status(thm)],[49])).
% 11.44/7.49 tff(51,plain,
% 11.44/7.49 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v206(constB15)) | (~v191(constB15)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15))))))),
% 11.44/7.49 inference(transitivity,[status(thm)],[50, 48])).
% 11.44/7.49 tff(52,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v206(constB15)) | (~v191(constB15)))))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(53,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[52, 51])).
% 11.44/7.49 tff(54,plain,
% 11.44/7.49 (v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15))))),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[53, 47])).
% 11.44/7.49 tff(55,plain,
% 11.44/7.49 (^[VarNext: $i] : refl((v191(VarNext) <=> v196(VarNext)) <=> (v191(VarNext) <=> v196(VarNext)))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(56,plain,
% 11.44/7.49 (![VarNext: $i] : (v191(VarNext) <=> v196(VarNext)) <=> ![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[55])).
% 11.44/7.49 tff(57,plain,
% 11.44/7.49 (![VarNext: $i] : (v191(VarNext) <=> v196(VarNext)) <=> ![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(58,plain,
% 11.44/7.49 (^[VarNext: $i] : rewrite(($true => (v191(VarNext) <=> v196(VarNext))) <=> (v191(VarNext) <=> v196(VarNext)))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(59,plain,
% 11.44/7.49 (![VarNext: $i] : ($true => (v191(VarNext) <=> v196(VarNext))) <=> ![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[58])).
% 11.44/7.49 tff(60,axiom,(![VarNext: $i] : ($true => (v191(VarNext) <=> v196(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7')).
% 11.44/7.49 tff(61,plain,
% 11.44/7.49 (![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[60, 59])).
% 11.44/7.49 tff(62,plain,
% 11.44/7.49 (![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[61, 57])).
% 11.44/7.49 tff(63,plain,(
% 11.44/7.49 ![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(skolemize,[status(sab)],[62])).
% 11.44/7.49 tff(64,plain,
% 11.44/7.49 (![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[63, 56])).
% 11.44/7.49 tff(65,plain,
% 11.44/7.49 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB15) <=> v196(constB15))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(66,plain,
% 11.44/7.49 (v191(constB15) <=> v196(constB15)),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[65, 64])).
% 11.44/7.49 tff(67,plain,
% 11.44/7.49 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(68,plain,
% 11.44/7.49 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[67])).
% 11.44/7.49 tff(69,plain,
% 11.44/7.49 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(70,plain,
% 11.44/7.49 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v196(VarNext) <=> v194(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(71,plain,
% 11.44/7.49 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v196(VarNext) <=> v194(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[70])).
% 11.44/7.49 tff(72,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v196(VarNext) <=> v194(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_12')).
% 11.44/7.49 tff(73,plain,
% 11.44/7.49 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[72, 71])).
% 11.44/7.49 tff(74,plain,
% 11.44/7.49 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[73, 69])).
% 11.44/7.49 tff(75,plain,(
% 11.44/7.49 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[74])).
% 11.44/7.49 tff(76,plain,
% 11.44/7.49 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[75, 68])).
% 11.44/7.49 tff(77,plain,
% 11.44/7.49 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(78,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14')).
% 11.44/7.49 tff(79,plain,
% 11.44/7.49 (nextState(constB14, constB15)),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[78, 77])).
% 11.44/7.49 tff(80,plain,
% 11.44/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB14, constB15)) | (v196(constB15) <=> v194(constB14)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB14, constB15)) | (v196(constB15) <=> v194(constB14)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(81,plain,
% 11.44/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB14, constB15)) | (v196(constB15) <=> v194(constB14)))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(82,plain,
% 11.44/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB14, constB15)) | (v196(constB15) <=> v194(constB14))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[81, 80])).
% 11.44/7.49 tff(83,plain,
% 11.44/7.49 (v196(constB15) <=> v194(constB14)),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[82, 79, 76])).
% 11.44/7.49 tff(84,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr))) <=> (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(85,plain,
% 11.44/7.49 (![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[84])).
% 11.44/7.49 tff(86,plain,
% 11.44/7.49 (![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(87,axiom,(![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_53')).
% 11.44/7.49 tff(88,plain,
% 11.44/7.49 (![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[87, 86])).
% 11.44/7.49 tff(89,plain,(
% 11.44/7.49 ![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[88])).
% 11.44/7.49 tff(90,plain,
% 11.44/7.49 (![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[89, 85])).
% 11.44/7.49 tff(91,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB14) <=> (v197(constB14) | v198(constB14)))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(92,plain,
% 11.44/7.49 (v194(constB14) <=> (v197(constB14) | v198(constB14))),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[91, 90])).
% 11.44/7.49 tff(93,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr))))) <=> (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(94,plain,
% 11.44/7.49 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr))))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[93])).
% 11.44/7.49 tff(95,plain,
% 11.44/7.49 (^[VarCurr: $i] : rewrite((v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr))) <=> (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(96,plain,
% 11.44/7.49 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[95])).
% 11.44/7.49 tff(97,plain,
% 11.44/7.49 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(98,axiom,(![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_52')).
% 11.44/7.49 tff(99,plain,
% 11.44/7.49 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[98, 97])).
% 11.44/7.49 tff(100,plain,(
% 11.44/7.49 ![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v158(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[99])).
% 11.44/7.49 tff(101,plain,
% 11.44/7.49 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[100, 96])).
% 11.44/7.49 tff(102,plain,
% 11.44/7.49 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[101, 94])).
% 11.44/7.49 tff(103,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB14) <=> (~((~v158(constB14)) | (~v199(constB14)))))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(104,plain,
% 11.44/7.49 (v198(constB14) <=> (~((~v158(constB14)) | (~v199(constB14))))),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[103, 102])).
% 11.44/7.49 tff(105,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr))))) <=> (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(106,plain,
% 11.44/7.49 (![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr))))) <=> ![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[105])).
% 11.44/7.49 tff(107,plain,
% 11.44/7.49 (^[VarCurr: $i] : rewrite((v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr))) <=> (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(108,plain,
% 11.44/7.49 (![VarCurr: $i] : (v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[107])).
% 11.44/7.49 tff(109,plain,
% 11.44/7.49 (![VarCurr: $i] : (v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(110,axiom,(![VarCurr: $i] : (v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_51')).
% 11.44/7.49 tff(111,plain,
% 11.44/7.49 (![VarCurr: $i] : (v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[110, 109])).
% 11.44/7.49 tff(112,plain,(
% 11.44/7.49 ![VarCurr: $i] : (v199(VarCurr) <=> (v186(VarCurr) & v200(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[111])).
% 11.44/7.49 tff(113,plain,
% 11.44/7.49 (![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[112, 108])).
% 11.44/7.49 tff(114,plain,
% 11.44/7.49 (![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[113, 106])).
% 11.44/7.49 tff(115,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB14) <=> (~((~v186(constB14)) | (~v200(constB14)))))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(116,plain,
% 11.44/7.49 (v199(constB14) <=> (~((~v186(constB14)) | (~v200(constB14))))),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[115, 114])).
% 11.44/7.49 tff(117,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr))))) <=> (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(118,plain,
% 11.44/7.49 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr))))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[117])).
% 11.44/7.49 tff(119,plain,
% 11.44/7.49 (^[VarCurr: $i] : rewrite((v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr))) <=> (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(120,plain,
% 11.44/7.49 (![VarCurr: $i] : (v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[119])).
% 11.44/7.49 tff(121,plain,
% 11.44/7.49 (![VarCurr: $i] : (v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr)))),
% 11.44/7.49 inference(rewrite,[status(thm)],[])).
% 11.44/7.49 tff(122,axiom,(![VarCurr: $i] : (v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_50')).
% 11.44/7.49 tff(123,plain,
% 11.44/7.49 (![VarCurr: $i] : (v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr)))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[122, 121])).
% 11.44/7.49 tff(124,plain,(
% 11.44/7.49 ![VarCurr: $i] : (v200(VarCurr) <=> (v184(VarCurr) & v84(VarCurr)))),
% 11.44/7.49 inference(skolemize,[status(sab)],[123])).
% 11.44/7.49 tff(125,plain,
% 11.44/7.49 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[124, 120])).
% 11.44/7.49 tff(126,plain,
% 11.44/7.49 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))),
% 11.44/7.49 inference(modus_ponens,[status(thm)],[125, 118])).
% 11.44/7.49 tff(127,plain,
% 11.44/7.49 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB14) <=> (~((~v184(constB14)) | (~v84(constB14)))))),
% 11.44/7.49 inference(quant_inst,[status(thm)],[])).
% 11.44/7.49 tff(128,plain,
% 11.44/7.49 (v200(constB14) <=> (~((~v184(constB14)) | (~v84(constB14))))),
% 11.44/7.49 inference(unit_resolution,[status(thm)],[127, 126])).
% 11.44/7.49 tff(129,plain,
% 11.44/7.49 (^[VarCurr: $i] : refl((v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 11.44/7.49 inference(bind,[status(th)],[])).
% 11.44/7.49 tff(130,plain,
% 11.44/7.49 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 11.44/7.49 inference(quant_intro,[status(thm)],[129])).
% 11.44/7.50 tff(131,plain,
% 11.44/7.50 (^[VarCurr: $i] : rewrite((v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(132,plain,
% 11.44/7.50 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[131])).
% 11.44/7.50 tff(133,plain,
% 11.44/7.50 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(134,axiom,(![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_43')).
% 11.44/7.50 tff(135,plain,
% 11.44/7.50 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[134, 133])).
% 11.44/7.50 tff(136,plain,(
% 11.44/7.50 ![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[135])).
% 11.44/7.50 tff(137,plain,
% 11.44/7.50 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[136, 132])).
% 11.44/7.50 tff(138,plain,
% 11.44/7.50 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[137, 130])).
% 11.44/7.50 tff(139,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(140,plain,
% 11.44/7.50 (v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14))))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[139, 138])).
% 11.44/7.50 tff(141,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(142,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[141])).
% 11.44/7.50 tff(143,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(144,axiom,(![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 11.44/7.50 tff(145,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[144, 143])).
% 11.44/7.50 tff(146,plain,(
% 11.44/7.50 ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 11.44/7.50 inference(skolemize,[status(sab)],[145])).
% 11.44/7.50 tff(147,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[146, 142])).
% 11.44/7.50 tff(148,plain,
% 11.44/7.50 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB14)) <=> v1(constB14))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(149,plain,
% 11.44/7.50 ((~v39(constB14)) <=> v1(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[148, 147])).
% 11.44/7.50 tff(150,plain,
% 11.44/7.50 (v1(constB14) <=> v1(constB14)),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(151,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14')).
% 11.44/7.50 tff(152,plain,
% 11.44/7.50 (v1(constB14)),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[151, 150])).
% 11.44/7.50 tff(153,plain,
% 11.44/7.50 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14)) | (~v1(constB14))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(154,plain,
% 11.44/7.50 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[153, 152])).
% 11.44/7.50 tff(155,plain,
% 11.44/7.50 (~v39(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[154, 149])).
% 11.44/7.50 tff(156,plain,
% 11.44/7.50 (((~v39(constB14)) | (~v9(constB14))) | v39(constB14)),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(157,plain,
% 11.44/7.50 ((~v39(constB14)) | (~v9(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[156, 155])).
% 11.44/7.50 tff(158,plain,
% 11.44/7.50 ((~(v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v184(constB14)) | (~((~v39(constB14)) | (~v9(constB14))))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(159,plain,
% 11.44/7.50 ((~(v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v184(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[158, 157])).
% 11.44/7.50 tff(160,plain,
% 11.44/7.50 (~v184(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[159, 140])).
% 11.44/7.50 tff(161,plain,
% 11.44/7.50 (((~v184(constB14)) | (~v84(constB14))) | v184(constB14)),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(162,plain,
% 11.44/7.50 ((~v184(constB14)) | (~v84(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[161, 160])).
% 11.44/7.50 tff(163,plain,
% 11.44/7.50 ((~(v200(constB14) <=> (~((~v184(constB14)) | (~v84(constB14)))))) | (~v200(constB14)) | (~((~v184(constB14)) | (~v84(constB14))))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(164,plain,
% 11.44/7.50 ((~(v200(constB14) <=> (~((~v184(constB14)) | (~v84(constB14)))))) | (~v200(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[163, 162])).
% 11.44/7.50 tff(165,plain,
% 11.44/7.50 (~v200(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[164, 128])).
% 11.44/7.50 tff(166,plain,
% 11.44/7.50 (((~v186(constB14)) | (~v200(constB14))) | v200(constB14)),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(167,plain,
% 11.44/7.50 ((~v186(constB14)) | (~v200(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[166, 165])).
% 11.44/7.50 tff(168,plain,
% 11.44/7.50 ((~(v199(constB14) <=> (~((~v186(constB14)) | (~v200(constB14)))))) | (~v199(constB14)) | (~((~v186(constB14)) | (~v200(constB14))))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(169,plain,
% 11.44/7.50 (~v199(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[168, 167, 116])).
% 11.44/7.50 tff(170,plain,
% 11.44/7.50 (((~v158(constB14)) | (~v199(constB14))) | v199(constB14)),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(171,plain,
% 11.44/7.50 ((~v158(constB14)) | (~v199(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[170, 169])).
% 11.44/7.50 tff(172,plain,
% 11.44/7.50 ((~(v198(constB14) <=> (~((~v158(constB14)) | (~v199(constB14)))))) | (~v198(constB14)) | (~((~v158(constB14)) | (~v199(constB14))))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(173,plain,
% 11.44/7.50 (~v198(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[172, 171, 104])).
% 11.44/7.50 tff(174,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl((v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr))))) <=> (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr))))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(175,plain,
% 11.44/7.50 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr))))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[174])).
% 11.44/7.50 tff(176,plain,
% 11.44/7.50 (^[VarCurr: $i] : rewrite((v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr))) <=> (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr))))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(177,plain,
% 11.44/7.50 (![VarCurr: $i] : (v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[176])).
% 11.44/7.50 tff(178,plain,
% 11.44/7.50 (![VarCurr: $i] : (v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(179,axiom,(![VarCurr: $i] : (v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_49')).
% 11.44/7.50 tff(180,plain,
% 11.44/7.50 (![VarCurr: $i] : (v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[179, 178])).
% 11.44/7.50 tff(181,plain,(
% 11.44/7.50 ![VarCurr: $i] : (v197(VarCurr) <=> (v182(VarCurr) & v191(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[180])).
% 11.44/7.50 tff(182,plain,
% 11.44/7.50 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[181, 177])).
% 11.44/7.50 tff(183,plain,
% 11.44/7.50 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[182, 175])).
% 11.44/7.50 tff(184,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB14) <=> (~((~v182(constB14)) | (~v191(constB14)))))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(185,plain,
% 11.44/7.50 (v197(constB14) <=> (~((~v182(constB14)) | (~v191(constB14))))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[184, 183])).
% 11.44/7.50 tff(186,plain,
% 11.44/7.50 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB14) <=> v196(constB14))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(187,plain,
% 11.44/7.50 (v191(constB14) <=> v196(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[186, 64])).
% 11.44/7.50 tff(188,plain,
% 11.44/7.50 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(189,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13')).
% 11.44/7.50 tff(190,plain,
% 11.44/7.50 (nextState(constB13, constB14)),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[189, 188])).
% 11.44/7.50 tff(191,plain,
% 11.44/7.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB13, constB14)) | (v196(constB14) <=> v194(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB13, constB14)) | (v196(constB14) <=> v194(constB13)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(192,plain,
% 11.44/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB13, constB14)) | (v196(constB14) <=> v194(constB13)))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(193,plain,
% 11.44/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB13, constB14)) | (v196(constB14) <=> v194(constB13))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[192, 191])).
% 11.44/7.50 tff(194,plain,
% 11.44/7.50 (v196(constB14) <=> v194(constB13)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[193, 190, 76])).
% 11.44/7.50 tff(195,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB13) <=> (v197(constB13) | v198(constB13)))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(196,plain,
% 11.44/7.50 (v194(constB13) <=> (v197(constB13) | v198(constB13))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[195, 90])).
% 11.44/7.50 tff(197,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB13) <=> (~((~v182(constB13)) | (~v191(constB13)))))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(198,plain,
% 11.44/7.50 (v197(constB13) <=> (~((~v182(constB13)) | (~v191(constB13))))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[197, 183])).
% 11.44/7.50 tff(199,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl(((~v182(VarCurr)) <=> v183(VarCurr)) <=> ((~v182(VarCurr)) <=> v183(VarCurr)))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(200,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr)) <=> ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[199])).
% 11.44/7.50 tff(201,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr)) <=> ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(202,axiom,(![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 11.44/7.50 tff(203,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[202, 201])).
% 11.44/7.50 tff(204,plain,(
% 11.44/7.50 ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 11.44/7.50 inference(skolemize,[status(sab)],[203])).
% 11.44/7.50 tff(205,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[204, 200])).
% 11.44/7.50 tff(206,plain,
% 11.44/7.50 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB13)) <=> v183(constB13))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(207,plain,
% 11.44/7.50 ((~v182(constB13)) <=> v183(constB13)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[206, 205])).
% 11.44/7.50 tff(208,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl((v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(209,plain,
% 11.44/7.50 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[208])).
% 11.44/7.50 tff(210,plain,
% 11.44/7.50 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(211,axiom,(![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_44')).
% 11.44/7.50 tff(212,plain,
% 11.44/7.50 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[211, 210])).
% 11.44/7.50 tff(213,plain,(
% 11.44/7.50 ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[212])).
% 11.44/7.50 tff(214,plain,
% 11.44/7.50 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[213, 209])).
% 11.44/7.50 tff(215,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB13) <=> (v184(constB13) | v26(constB13)))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(216,plain,
% 11.44/7.50 (v183(constB13) <=> (v184(constB13) | v26(constB13))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[215, 214])).
% 11.44/7.50 tff(217,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(218,plain,
% 11.44/7.50 (v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13))))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[217, 138])).
% 11.44/7.50 tff(219,plain,
% 11.44/7.50 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(220,plain,
% 11.44/7.50 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[219])).
% 11.44/7.50 tff(221,plain,
% 11.44/7.50 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(222,plain,
% 11.44/7.50 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(223,plain,
% 11.44/7.50 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[222])).
% 11.44/7.50 tff(224,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment')).
% 11.44/7.50 tff(225,plain,
% 11.44/7.50 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[224, 223])).
% 11.44/7.50 tff(226,plain,
% 11.44/7.50 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[225, 221])).
% 11.44/7.50 tff(227,plain,(
% 11.44/7.50 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[226])).
% 11.44/7.50 tff(228,plain,
% 11.44/7.50 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[227, 220])).
% 11.44/7.50 tff(229,plain,
% 11.44/7.50 (((~![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)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(230,plain,
% 11.44/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(231,plain,
% 11.44/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[230, 229])).
% 11.44/7.50 tff(232,plain,
% 11.44/7.50 (v13(constB14) <=> v9(constB13)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[231, 190, 228])).
% 11.44/7.50 tff(233,plain,
% 11.44/7.50 (^[VarNext: $i] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(234,plain,
% 11.44/7.50 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[233])).
% 11.44/7.50 tff(235,plain,
% 11.44/7.50 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(236,plain,
% 11.44/7.50 (^[VarNext: $i] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(237,plain,
% 11.44/7.50 (![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[236])).
% 11.44/7.50 tff(238,axiom,(![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 11.44/7.50 tff(239,plain,
% 11.44/7.50 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[238, 237])).
% 11.44/7.50 tff(240,plain,
% 11.44/7.50 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[239, 235])).
% 11.44/7.50 tff(241,plain,(
% 11.44/7.50 ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(skolemize,[status(sab)],[240])).
% 11.44/7.50 tff(242,plain,
% 11.44/7.50 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[241, 234])).
% 11.44/7.50 tff(243,plain,
% 11.44/7.50 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB14) <=> v13(constB14))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(244,plain,
% 11.44/7.50 (v6(constB14) <=> v13(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[243, 242])).
% 11.44/7.50 tff(245,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(246,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[245])).
% 11.44/7.50 tff(247,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(248,axiom,(![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 11.44/7.50 tff(249,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[248, 247])).
% 11.44/7.50 tff(250,plain,(
% 11.44/7.50 ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 11.44/7.50 inference(skolemize,[status(sab)],[249])).
% 11.44/7.50 tff(251,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[250, 246])).
% 11.44/7.50 tff(252,plain,
% 11.44/7.50 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB14)) <=> v6(constB14))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(253,plain,
% 11.44/7.50 ((~v21(constB14)) <=> v6(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[252, 251])).
% 11.44/7.50 tff(254,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(255,plain,
% 11.44/7.50 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[254])).
% 11.44/7.50 tff(256,plain,
% 11.44/7.50 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(257,axiom,(![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits')).
% 11.44/7.50 tff(258,plain,
% 11.44/7.50 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[257, 256])).
% 11.44/7.50 tff(259,plain,(
% 11.44/7.50 ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[258])).
% 11.44/7.50 tff(260,plain,
% 11.44/7.50 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[259, 255])).
% 11.44/7.50 tff(261,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB14) <=> (v20(constB14) | v21(constB14)))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(262,plain,
% 11.44/7.50 (v19(constB14) <=> (v20(constB14) | v21(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[261, 260])).
% 11.44/7.50 tff(263,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(264,plain,
% 11.44/7.50 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[263])).
% 11.44/7.50 tff(265,plain,
% 11.44/7.50 (^[VarCurr: $i] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(266,plain,
% 11.44/7.50 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[265])).
% 11.44/7.50 tff(267,plain,
% 11.44/7.50 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(268,axiom,(![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_2')).
% 11.44/7.50 tff(269,plain,
% 11.44/7.50 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[268, 267])).
% 11.44/7.50 tff(270,plain,(
% 11.44/7.50 ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[269])).
% 11.44/7.50 tff(271,plain,
% 11.44/7.50 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[270, 266])).
% 11.44/7.50 tff(272,plain,
% 11.44/7.50 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[271, 264])).
% 11.44/7.50 tff(273,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(274,plain,
% 11.44/7.50 (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14))))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[273, 272])).
% 11.44/7.50 tff(275,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(276,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[275])).
% 11.44/7.50 tff(277,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(278,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 11.44/7.50 tff(279,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[278, 277])).
% 11.44/7.50 tff(280,plain,(
% 11.44/7.50 ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 11.44/7.50 inference(skolemize,[status(sab)],[279])).
% 11.44/7.50 tff(281,plain,
% 11.44/7.50 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[280, 276])).
% 11.44/7.50 tff(282,plain,
% 11.44/7.50 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB14)) <=> v18(constB14))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(283,plain,
% 11.44/7.50 ((~v4(constB14)) <=> v18(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[282, 281])).
% 11.44/7.50 tff(284,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(285,plain,
% 11.44/7.50 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 11.44/7.50 inference(quant_intro,[status(thm)],[284])).
% 11.44/7.50 tff(286,plain,
% 11.44/7.50 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(287,axiom,(![VarCurr: $i] : v4(VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption')).
% 11.44/7.50 tff(288,plain,
% 11.44/7.50 (![VarCurr: $i] : v4(VarCurr)),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[287, 286])).
% 11.44/7.50 tff(289,plain,(
% 11.44/7.50 ![VarCurr: $i] : v4(VarCurr)),
% 11.44/7.50 inference(skolemize,[status(sab)],[288])).
% 11.44/7.50 tff(290,plain,
% 11.44/7.50 (![VarCurr: $i] : v4(VarCurr)),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[289, 285])).
% 11.44/7.50 tff(291,plain,
% 11.44/7.50 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB14)),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(292,plain,
% 11.44/7.50 (v4(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[291, 290])).
% 11.44/7.50 tff(293,plain,
% 11.44/7.50 ((~((~v4(constB14)) <=> v18(constB14))) | (~v4(constB14)) | (~v18(constB14))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(294,plain,
% 11.44/7.50 (~v18(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[293, 292, 283])).
% 11.44/7.50 tff(295,plain,
% 11.44/7.50 ((~(v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))) | v18(constB14) | ((~v19(constB14)) | (~v22(constB14)))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(296,plain,
% 11.44/7.50 ((~v19(constB14)) | (~v22(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[295, 294, 274])).
% 11.44/7.50 tff(297,plain,
% 11.44/7.50 (^[VarCurr: $i] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 11.44/7.50 inference(bind,[status(th)],[])).
% 11.44/7.50 tff(298,plain,
% 11.44/7.50 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 11.44/7.50 inference(quant_intro,[status(thm)],[297])).
% 11.44/7.50 tff(299,plain,
% 11.44/7.50 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 11.44/7.50 inference(rewrite,[status(thm)],[])).
% 11.44/7.50 tff(300,axiom,(![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_1')).
% 11.44/7.50 tff(301,plain,
% 11.44/7.50 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[300, 299])).
% 11.44/7.50 tff(302,plain,(
% 11.44/7.50 ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 11.44/7.50 inference(skolemize,[status(sab)],[301])).
% 11.44/7.50 tff(303,plain,
% 11.44/7.50 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 11.44/7.50 inference(modus_ponens,[status(thm)],[302, 298])).
% 11.44/7.50 tff(304,plain,
% 11.44/7.50 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB14) <=> (v1(constB14) | v6(constB14)))),
% 11.44/7.50 inference(quant_inst,[status(thm)],[])).
% 11.44/7.50 tff(305,plain,
% 11.44/7.50 (v22(constB14) <=> (v1(constB14) | v6(constB14))),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[304, 303])).
% 11.44/7.50 tff(306,plain,
% 11.44/7.50 ((v1(constB14) | v6(constB14)) | (~v1(constB14))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(307,plain,
% 11.44/7.50 (v1(constB14) | v6(constB14)),
% 11.44/7.50 inference(unit_resolution,[status(thm)],[306, 152])).
% 11.44/7.50 tff(308,plain,
% 11.44/7.50 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14) | (~(v1(constB14) | v6(constB14)))),
% 11.44/7.50 inference(tautology,[status(thm)],[])).
% 11.44/7.50 tff(309,plain,
% 11.44/7.51 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[308, 307])).
% 11.44/7.51 tff(310,plain,
% 11.44/7.51 (v22(constB14)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[309, 305])).
% 11.44/7.51 tff(311,plain,
% 11.44/7.51 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14)) | (~v22(constB14))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(312,plain,
% 11.44/7.51 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[311, 310])).
% 11.44/7.51 tff(313,plain,
% 11.44/7.51 (~v19(constB14)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[312, 296])).
% 11.44/7.51 tff(314,plain,
% 11.44/7.51 ((~(v19(constB14) <=> (v20(constB14) | v21(constB14)))) | v19(constB14) | (~(v20(constB14) | v21(constB14)))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(315,plain,
% 11.44/7.51 (~(v20(constB14) | v21(constB14))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[314, 313, 262])).
% 11.44/7.51 tff(316,plain,
% 11.44/7.51 ((v20(constB14) | v21(constB14)) | (~v21(constB14))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(317,plain,
% 11.44/7.51 (~v21(constB14)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[316, 315])).
% 11.44/7.51 tff(318,plain,
% 11.44/7.51 ((~((~v21(constB14)) <=> v6(constB14))) | v21(constB14) | v6(constB14)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(319,plain,
% 11.44/7.51 (v6(constB14)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[318, 317, 253])).
% 11.44/7.51 tff(320,plain,
% 11.44/7.51 ((~(v6(constB14) <=> v13(constB14))) | (~v6(constB14)) | v13(constB14)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(321,plain,
% 11.44/7.51 (v13(constB14)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[320, 319, 244])).
% 11.44/7.51 tff(322,plain,
% 11.44/7.51 ((~(v13(constB14) <=> v9(constB13))) | (~v13(constB14)) | v9(constB13)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(323,plain,
% 11.44/7.51 (v9(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[322, 321, 232])).
% 11.44/7.51 tff(324,plain,
% 11.44/7.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB13)) <=> v1(constB13))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(325,plain,
% 11.44/7.51 ((~v39(constB13)) <=> v1(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[324, 147])).
% 11.44/7.51 tff(326,plain,
% 11.44/7.51 ((~v1(constB13)) <=> (~v1(constB13))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(327,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13')).
% 11.44/7.51 tff(328,plain,
% 11.44/7.51 (~v1(constB13)),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[327, 326])).
% 11.44/7.51 tff(329,plain,
% 11.44/7.51 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13) | v1(constB13)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(330,plain,
% 11.44/7.51 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[329, 328])).
% 11.44/7.51 tff(331,plain,
% 11.44/7.51 (v39(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[330, 325])).
% 11.44/7.51 tff(332,plain,
% 11.44/7.51 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v39(constB13)) | (~v9(constB13))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(333,plain,
% 11.44/7.51 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v9(constB13))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[332, 331])).
% 11.44/7.51 tff(334,plain,
% 11.44/7.51 (~((~v39(constB13)) | (~v9(constB13)))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[333, 323])).
% 11.44/7.51 tff(335,plain,
% 11.44/7.51 ((~(v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))) | v184(constB13) | ((~v39(constB13)) | (~v9(constB13)))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(336,plain,
% 11.44/7.51 (v184(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[335, 334, 218])).
% 11.44/7.51 tff(337,plain,
% 11.44/7.51 ((v184(constB13) | v26(constB13)) | (~v184(constB13))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(338,plain,
% 11.44/7.51 (v184(constB13) | v26(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[337, 336])).
% 11.44/7.51 tff(339,plain,
% 11.44/7.51 ((~(v183(constB13) <=> (v184(constB13) | v26(constB13)))) | v183(constB13) | (~(v184(constB13) | v26(constB13)))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(340,plain,
% 11.44/7.51 (v183(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[339, 338, 216])).
% 11.44/7.51 tff(341,plain,
% 11.44/7.51 ((~((~v182(constB13)) <=> v183(constB13))) | (~v182(constB13)) | (~v183(constB13))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(342,plain,
% 11.44/7.51 (~v182(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[341, 340, 207])).
% 11.44/7.51 tff(343,plain,
% 11.44/7.51 (((~v182(constB13)) | (~v191(constB13))) | v182(constB13)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(344,plain,
% 11.44/7.51 ((~v182(constB13)) | (~v191(constB13))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[343, 342])).
% 11.44/7.51 tff(345,plain,
% 11.44/7.51 ((~(v197(constB13) <=> (~((~v182(constB13)) | (~v191(constB13)))))) | (~v197(constB13)) | (~((~v182(constB13)) | (~v191(constB13))))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(346,plain,
% 11.44/7.51 (~v197(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[345, 344, 198])).
% 11.44/7.51 tff(347,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB13) <=> (~((~v158(constB13)) | (~v199(constB13)))))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(348,plain,
% 11.44/7.51 (v198(constB13) <=> (~((~v158(constB13)) | (~v199(constB13))))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[347, 102])).
% 11.44/7.51 tff(349,plain,
% 11.44/7.51 (^[VarNext: $i] : refl((v158(VarNext) <=> v180(VarNext)) <=> (v158(VarNext) <=> v180(VarNext)))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(350,plain,
% 11.44/7.51 (![VarNext: $i] : (v158(VarNext) <=> v180(VarNext)) <=> ![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[349])).
% 11.44/7.51 tff(351,plain,
% 11.44/7.51 (![VarNext: $i] : (v158(VarNext) <=> v180(VarNext)) <=> ![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(352,plain,
% 11.44/7.51 (^[VarNext: $i] : rewrite(($true => (v158(VarNext) <=> v180(VarNext))) <=> (v158(VarNext) <=> v180(VarNext)))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(353,plain,
% 11.44/7.51 (![VarNext: $i] : ($true => (v158(VarNext) <=> v180(VarNext))) <=> ![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[352])).
% 11.44/7.51 tff(354,axiom,(![VarNext: $i] : ($true => (v158(VarNext) <=> v180(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 11.44/7.51 tff(355,plain,
% 11.44/7.51 (![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[354, 353])).
% 11.44/7.51 tff(356,plain,
% 11.44/7.51 (![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[355, 351])).
% 11.44/7.51 tff(357,plain,(
% 11.44/7.51 ![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(skolemize,[status(sab)],[356])).
% 11.44/7.51 tff(358,plain,
% 11.44/7.51 (![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[357, 350])).
% 11.44/7.51 tff(359,plain,
% 11.44/7.51 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB13) <=> v180(constB13))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(360,plain,
% 11.44/7.51 (v158(constB13) <=> v180(constB13)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[359, 358])).
% 11.44/7.51 tff(361,plain,
% 11.44/7.51 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(362,plain,
% 11.44/7.51 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[361])).
% 11.44/7.51 tff(363,plain,
% 11.44/7.51 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(364,plain,
% 11.44/7.51 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(365,plain,
% 11.44/7.51 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[364])).
% 11.44/7.51 tff(366,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11')).
% 11.44/7.51 tff(367,plain,
% 11.44/7.51 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[366, 365])).
% 11.44/7.51 tff(368,plain,
% 11.44/7.51 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[367, 363])).
% 11.44/7.51 tff(369,plain,(
% 11.44/7.51 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(skolemize,[status(sab)],[368])).
% 11.44/7.51 tff(370,plain,
% 11.44/7.51 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[369, 362])).
% 11.44/7.51 tff(371,plain,
% 11.44/7.51 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(372,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12')).
% 11.44/7.51 tff(373,plain,
% 11.44/7.51 (nextState(constB12, constB13)),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[372, 371])).
% 11.44/7.51 tff(374,plain,
% 11.44/7.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB12, constB13)) | (v180(constB13) <=> v178(constB12)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB12, constB13)) | (v180(constB13) <=> v178(constB12)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(375,plain,
% 11.44/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB12, constB13)) | (v180(constB13) <=> v178(constB12)))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(376,plain,
% 11.44/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB12, constB13)) | (v180(constB13) <=> v178(constB12))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[375, 374])).
% 11.44/7.51 tff(377,plain,
% 11.44/7.51 (v180(constB13) <=> v178(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[376, 373, 370])).
% 11.44/7.51 tff(378,plain,
% 11.44/7.51 (^[VarCurr: $i] : refl((v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(379,plain,
% 11.44/7.51 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[378])).
% 11.44/7.51 tff(380,plain,
% 11.44/7.51 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(381,axiom,(![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_48')).
% 11.44/7.51 tff(382,plain,
% 11.44/7.51 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[381, 380])).
% 11.44/7.51 tff(383,plain,(
% 11.44/7.51 ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 11.44/7.51 inference(skolemize,[status(sab)],[382])).
% 11.44/7.51 tff(384,plain,
% 11.44/7.51 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[383, 379])).
% 11.44/7.51 tff(385,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB12) <=> (v181(constB12) | v185(constB12)))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(386,plain,
% 11.44/7.51 (v178(constB12) <=> (v181(constB12) | v185(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[385, 384])).
% 11.44/7.51 tff(387,plain,
% 11.44/7.51 (^[VarCurr: $i] : refl((v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))) <=> (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(388,plain,
% 11.44/7.51 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[387])).
% 11.44/7.51 tff(389,plain,
% 11.44/7.51 (^[VarCurr: $i] : rewrite((v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(390,plain,
% 11.44/7.51 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[389])).
% 11.44/7.51 tff(391,plain,
% 11.44/7.51 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(392,axiom,(![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_47')).
% 11.44/7.51 tff(393,plain,
% 11.44/7.51 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[392, 391])).
% 11.44/7.51 tff(394,plain,(
% 11.44/7.51 ![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 11.44/7.51 inference(skolemize,[status(sab)],[393])).
% 11.44/7.51 tff(395,plain,
% 11.44/7.51 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[394, 390])).
% 11.44/7.51 tff(396,plain,
% 11.44/7.51 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[395, 388])).
% 11.44/7.51 tff(397,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB12) <=> (~((~v186(constB12)) | (~v187(constB12)))))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(398,plain,
% 11.44/7.51 (v185(constB12) <=> (~((~v186(constB12)) | (~v187(constB12))))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[397, 396])).
% 11.44/7.51 tff(399,plain,
% 11.44/7.51 (^[VarCurr: $i] : refl((v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr))))) <=> (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr))))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(400,plain,
% 11.44/7.51 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr))))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[399])).
% 11.44/7.51 tff(401,plain,
% 11.44/7.51 (^[VarCurr: $i] : rewrite((v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr))) <=> (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr))))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(402,plain,
% 11.44/7.51 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[401])).
% 11.44/7.51 tff(403,plain,
% 11.44/7.51 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(404,axiom,(![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_46')).
% 11.44/7.51 tff(405,plain,
% 11.44/7.51 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[404, 403])).
% 11.44/7.51 tff(406,plain,(
% 11.44/7.51 ![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v160(VarCurr)))),
% 11.44/7.51 inference(skolemize,[status(sab)],[405])).
% 11.44/7.51 tff(407,plain,
% 11.44/7.51 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[406, 402])).
% 11.44/7.51 tff(408,plain,
% 11.44/7.51 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[407, 400])).
% 11.44/7.51 tff(409,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB12) <=> (~((~v184(constB12)) | (~v160(constB12)))))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(410,plain,
% 11.44/7.51 (v187(constB12) <=> (~((~v184(constB12)) | (~v160(constB12))))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[409, 408])).
% 11.44/7.51 tff(411,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(412,plain,
% 11.44/7.51 (v184(constB12) <=> (~((~v39(constB12)) | (~v9(constB12))))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[411, 138])).
% 11.44/7.51 tff(413,plain,
% 11.44/7.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB12)) <=> v1(constB12))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(414,plain,
% 11.44/7.51 ((~v39(constB12)) <=> v1(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[413, 147])).
% 11.44/7.51 tff(415,plain,
% 11.44/7.51 (v1(constB12) <=> v1(constB12)),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(416,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12')).
% 11.44/7.51 tff(417,plain,
% 11.44/7.51 (v1(constB12)),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[416, 415])).
% 11.44/7.51 tff(418,plain,
% 11.44/7.51 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12)) | (~v1(constB12))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(419,plain,
% 11.44/7.51 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[418, 417])).
% 11.44/7.51 tff(420,plain,
% 11.44/7.51 (~v39(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[419, 414])).
% 11.44/7.51 tff(421,plain,
% 11.44/7.51 (((~v39(constB12)) | (~v9(constB12))) | v39(constB12)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(422,plain,
% 11.44/7.51 ((~v39(constB12)) | (~v9(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[421, 420])).
% 11.44/7.51 tff(423,plain,
% 11.44/7.51 ((~(v184(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v184(constB12)) | (~((~v39(constB12)) | (~v9(constB12))))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(424,plain,
% 11.44/7.51 ((~(v184(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v184(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[423, 422])).
% 11.44/7.51 tff(425,plain,
% 11.44/7.51 (~v184(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[424, 412])).
% 11.44/7.51 tff(426,plain,
% 11.44/7.51 (((~v184(constB12)) | (~v160(constB12))) | v184(constB12)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(427,plain,
% 11.44/7.51 ((~v184(constB12)) | (~v160(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[426, 425])).
% 11.44/7.51 tff(428,plain,
% 11.44/7.51 ((~(v187(constB12) <=> (~((~v184(constB12)) | (~v160(constB12)))))) | (~v187(constB12)) | (~((~v184(constB12)) | (~v160(constB12))))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(429,plain,
% 11.44/7.51 ((~(v187(constB12) <=> (~((~v184(constB12)) | (~v160(constB12)))))) | (~v187(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[428, 427])).
% 11.44/7.51 tff(430,plain,
% 11.44/7.51 (~v187(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[429, 410])).
% 11.44/7.51 tff(431,plain,
% 11.44/7.51 (((~v186(constB12)) | (~v187(constB12))) | v187(constB12)),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(432,plain,
% 11.44/7.51 ((~v186(constB12)) | (~v187(constB12))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[431, 430])).
% 11.44/7.51 tff(433,plain,
% 11.44/7.51 ((~(v185(constB12) <=> (~((~v186(constB12)) | (~v187(constB12)))))) | (~v185(constB12)) | (~((~v186(constB12)) | (~v187(constB12))))),
% 11.44/7.51 inference(tautology,[status(thm)],[])).
% 11.44/7.51 tff(434,plain,
% 11.44/7.51 (~v185(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[433, 432, 398])).
% 11.44/7.51 tff(435,plain,
% 11.44/7.51 (^[VarCurr: $i] : refl((v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr))))) <=> (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr))))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(436,plain,
% 11.44/7.51 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr))))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[435])).
% 11.44/7.51 tff(437,plain,
% 11.44/7.51 (^[VarCurr: $i] : rewrite((v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr))) <=> (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr))))))),
% 11.44/7.51 inference(bind,[status(th)],[])).
% 11.44/7.51 tff(438,plain,
% 11.44/7.51 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))),
% 11.44/7.51 inference(quant_intro,[status(thm)],[437])).
% 11.44/7.51 tff(439,plain,
% 11.44/7.51 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(440,axiom,(![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_45')).
% 11.44/7.51 tff(441,plain,
% 11.44/7.51 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr)))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[440, 439])).
% 11.44/7.51 tff(442,plain,(
% 11.44/7.51 ![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v158(VarCurr)))),
% 11.44/7.51 inference(skolemize,[status(sab)],[441])).
% 11.44/7.51 tff(443,plain,
% 11.44/7.51 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[442, 438])).
% 11.44/7.51 tff(444,plain,
% 11.44/7.51 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[443, 436])).
% 11.44/7.51 tff(445,plain,
% 11.44/7.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12))))))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(446,plain,
% 11.44/7.51 ((v181(constB12) <=> (~((~v182(constB12)) | (~v158(constB12))))) <=> (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12)))))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(447,plain,
% 11.44/7.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v182(constB12)) | (~v158(constB12)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12))))))),
% 11.44/7.51 inference(monotonicity,[status(thm)],[446])).
% 11.44/7.51 tff(448,plain,
% 11.44/7.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v182(constB12)) | (~v158(constB12)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12))))))),
% 11.44/7.51 inference(transitivity,[status(thm)],[447, 445])).
% 11.44/7.51 tff(449,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v182(constB12)) | (~v158(constB12)))))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(450,plain,
% 11.44/7.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12)))))),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[449, 448])).
% 11.44/7.51 tff(451,plain,
% 11.44/7.51 (v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12))))),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[450, 444])).
% 11.44/7.51 tff(452,plain,
% 11.44/7.51 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB12) <=> v180(constB12))),
% 11.44/7.51 inference(quant_inst,[status(thm)],[])).
% 11.44/7.51 tff(453,plain,
% 11.44/7.51 (v158(constB12) <=> v180(constB12)),
% 11.44/7.51 inference(unit_resolution,[status(thm)],[452, 358])).
% 11.44/7.51 tff(454,plain,
% 11.44/7.51 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(455,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11')).
% 11.44/7.51 tff(456,plain,
% 11.44/7.51 (nextState(constB11, constB12)),
% 11.44/7.51 inference(modus_ponens,[status(thm)],[455, 454])).
% 11.44/7.51 tff(457,plain,
% 11.44/7.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB11, constB12)) | (v180(constB12) <=> v178(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB11, constB12)) | (v180(constB12) <=> v178(constB11)))),
% 11.44/7.51 inference(rewrite,[status(thm)],[])).
% 11.44/7.51 tff(458,plain,
% 11.44/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB11, constB12)) | (v180(constB12) <=> v178(constB11)))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(459,plain,
% 11.44/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB11, constB12)) | (v180(constB12) <=> v178(constB11))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[458, 457])).
% 11.44/7.52 tff(460,plain,
% 11.44/7.52 (v180(constB12) <=> v178(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[459, 456, 370])).
% 11.44/7.52 tff(461,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB11) <=> (v181(constB11) | v185(constB11)))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(462,plain,
% 11.44/7.52 (v178(constB11) <=> (v181(constB11) | v185(constB11))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[461, 384])).
% 11.44/7.52 tff(463,plain,
% 11.44/7.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11))))))),
% 11.44/7.52 inference(rewrite,[status(thm)],[])).
% 11.44/7.52 tff(464,plain,
% 11.44/7.52 ((v181(constB11) <=> (~((~v182(constB11)) | (~v158(constB11))))) <=> (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11)))))),
% 11.44/7.52 inference(rewrite,[status(thm)],[])).
% 11.44/7.52 tff(465,plain,
% 11.44/7.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v182(constB11)) | (~v158(constB11)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11))))))),
% 11.44/7.52 inference(monotonicity,[status(thm)],[464])).
% 11.44/7.52 tff(466,plain,
% 11.44/7.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v182(constB11)) | (~v158(constB11)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11))))))),
% 11.44/7.52 inference(transitivity,[status(thm)],[465, 463])).
% 11.44/7.52 tff(467,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v182(constB11)) | (~v158(constB11)))))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(468,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11)))))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[467, 466])).
% 11.44/7.52 tff(469,plain,
% 11.44/7.52 (v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11))))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[468, 444])).
% 11.44/7.52 tff(470,plain,
% 11.44/7.52 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB11)) <=> v183(constB11))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(471,plain,
% 11.44/7.52 ((~v182(constB11)) <=> v183(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[470, 205])).
% 11.44/7.52 tff(472,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB11) <=> (v184(constB11) | v26(constB11)))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(473,plain,
% 11.44/7.52 (v183(constB11) <=> (v184(constB11) | v26(constB11))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[472, 214])).
% 11.44/7.52 tff(474,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(475,plain,
% 11.44/7.52 (v184(constB11) <=> (~((~v39(constB11)) | (~v9(constB11))))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[474, 138])).
% 11.44/7.52 tff(476,plain,
% 11.44/7.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 11.44/7.52 inference(rewrite,[status(thm)],[])).
% 11.44/7.52 tff(477,plain,
% 11.44/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(478,plain,
% 11.44/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[477, 476])).
% 11.44/7.52 tff(479,plain,
% 11.44/7.52 (v13(constB12) <=> v9(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[478, 456, 228])).
% 11.44/7.52 tff(480,plain,
% 11.44/7.52 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB12) <=> v13(constB12))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(481,plain,
% 11.44/7.52 (v6(constB12) <=> v13(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[480, 242])).
% 11.44/7.52 tff(482,plain,
% 11.44/7.52 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB12)) <=> v6(constB12))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(483,plain,
% 11.44/7.52 ((~v21(constB12)) <=> v6(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[482, 251])).
% 11.44/7.52 tff(484,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB12) <=> (v20(constB12) | v21(constB12)))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(485,plain,
% 11.44/7.52 (v19(constB12) <=> (v20(constB12) | v21(constB12))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[484, 260])).
% 11.44/7.52 tff(486,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(487,plain,
% 11.44/7.52 (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12))))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[486, 272])).
% 11.44/7.52 tff(488,plain,
% 11.44/7.52 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB12)) <=> v18(constB12))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(489,plain,
% 11.44/7.52 ((~v4(constB12)) <=> v18(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[488, 281])).
% 11.44/7.52 tff(490,plain,
% 11.44/7.52 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB12)),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(491,plain,
% 11.44/7.52 (v4(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[490, 290])).
% 11.44/7.52 tff(492,plain,
% 11.44/7.52 ((~((~v4(constB12)) <=> v18(constB12))) | (~v4(constB12)) | (~v18(constB12))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(493,plain,
% 11.44/7.52 (~v18(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[492, 491, 489])).
% 11.44/7.52 tff(494,plain,
% 11.44/7.52 ((~(v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))) | v18(constB12) | ((~v19(constB12)) | (~v22(constB12)))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(495,plain,
% 11.44/7.52 ((~v19(constB12)) | (~v22(constB12))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[494, 493, 487])).
% 11.44/7.52 tff(496,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB12) <=> (v1(constB12) | v6(constB12)))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(497,plain,
% 11.44/7.52 (v22(constB12) <=> (v1(constB12) | v6(constB12))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[496, 303])).
% 11.44/7.52 tff(498,plain,
% 11.44/7.52 ((v1(constB12) | v6(constB12)) | (~v1(constB12))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(499,plain,
% 11.44/7.52 (v1(constB12) | v6(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[498, 417])).
% 11.44/7.52 tff(500,plain,
% 11.44/7.52 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12) | (~(v1(constB12) | v6(constB12)))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(501,plain,
% 11.44/7.52 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[500, 499])).
% 11.44/7.52 tff(502,plain,
% 11.44/7.52 (v22(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[501, 497])).
% 11.44/7.52 tff(503,plain,
% 11.44/7.52 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12)) | (~v22(constB12))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(504,plain,
% 11.44/7.52 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[503, 502])).
% 11.44/7.52 tff(505,plain,
% 11.44/7.52 (~v19(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[504, 495])).
% 11.44/7.52 tff(506,plain,
% 11.44/7.52 ((~(v19(constB12) <=> (v20(constB12) | v21(constB12)))) | v19(constB12) | (~(v20(constB12) | v21(constB12)))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(507,plain,
% 11.44/7.52 (~(v20(constB12) | v21(constB12))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[506, 505, 485])).
% 11.44/7.52 tff(508,plain,
% 11.44/7.52 ((v20(constB12) | v21(constB12)) | (~v21(constB12))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(509,plain,
% 11.44/7.52 (~v21(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[508, 507])).
% 11.44/7.52 tff(510,plain,
% 11.44/7.52 ((~((~v21(constB12)) <=> v6(constB12))) | v21(constB12) | v6(constB12)),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(511,plain,
% 11.44/7.52 (v6(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[510, 509, 483])).
% 11.44/7.52 tff(512,plain,
% 11.44/7.52 ((~(v6(constB12) <=> v13(constB12))) | (~v6(constB12)) | v13(constB12)),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(513,plain,
% 11.44/7.52 (v13(constB12)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[512, 511, 481])).
% 11.44/7.52 tff(514,plain,
% 11.44/7.52 ((~(v13(constB12) <=> v9(constB11))) | (~v13(constB12)) | v9(constB11)),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(515,plain,
% 11.44/7.52 (v9(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[514, 513, 479])).
% 11.44/7.52 tff(516,plain,
% 11.44/7.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB11)) <=> v1(constB11))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(517,plain,
% 11.44/7.52 ((~v39(constB11)) <=> v1(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[516, 147])).
% 11.44/7.52 tff(518,plain,
% 11.44/7.52 ((~v1(constB11)) <=> (~v1(constB11))),
% 11.44/7.52 inference(rewrite,[status(thm)],[])).
% 11.44/7.52 tff(519,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11')).
% 11.44/7.52 tff(520,plain,
% 11.44/7.52 (~v1(constB11)),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[519, 518])).
% 11.44/7.52 tff(521,plain,
% 11.44/7.52 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11) | v1(constB11)),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(522,plain,
% 11.44/7.52 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[521, 520])).
% 11.44/7.52 tff(523,plain,
% 11.44/7.52 (v39(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[522, 517])).
% 11.44/7.52 tff(524,plain,
% 11.44/7.52 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v39(constB11)) | (~v9(constB11))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(525,plain,
% 11.44/7.52 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v9(constB11))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[524, 523])).
% 11.44/7.52 tff(526,plain,
% 11.44/7.52 (~((~v39(constB11)) | (~v9(constB11)))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[525, 515])).
% 11.44/7.52 tff(527,plain,
% 11.44/7.52 ((~(v184(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))) | v184(constB11) | ((~v39(constB11)) | (~v9(constB11)))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(528,plain,
% 11.44/7.52 (v184(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[527, 526, 475])).
% 11.44/7.52 tff(529,plain,
% 11.44/7.52 ((v184(constB11) | v26(constB11)) | (~v184(constB11))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(530,plain,
% 11.44/7.52 (v184(constB11) | v26(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[529, 528])).
% 11.44/7.52 tff(531,plain,
% 11.44/7.52 ((~(v183(constB11) <=> (v184(constB11) | v26(constB11)))) | v183(constB11) | (~(v184(constB11) | v26(constB11)))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(532,plain,
% 11.44/7.52 (v183(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[531, 530, 473])).
% 11.44/7.52 tff(533,plain,
% 11.44/7.52 ((~((~v182(constB11)) <=> v183(constB11))) | (~v182(constB11)) | (~v183(constB11))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(534,plain,
% 11.44/7.52 (~v182(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[533, 532, 471])).
% 11.44/7.52 tff(535,plain,
% 11.44/7.52 (((~v158(constB11)) | (~v182(constB11))) | v182(constB11)),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(536,plain,
% 11.44/7.52 ((~v158(constB11)) | (~v182(constB11))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[535, 534])).
% 11.44/7.52 tff(537,plain,
% 11.44/7.52 ((~(v181(constB11) <=> (~((~v158(constB11)) | (~v182(constB11)))))) | (~v181(constB11)) | (~((~v158(constB11)) | (~v182(constB11))))),
% 11.44/7.52 inference(tautology,[status(thm)],[])).
% 11.44/7.52 tff(538,plain,
% 11.44/7.52 (~v181(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[537, 536, 469])).
% 11.44/7.52 tff(539,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB11) <=> (~((~v186(constB11)) | (~v187(constB11)))))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(540,plain,
% 11.44/7.52 (v185(constB11) <=> (~((~v186(constB11)) | (~v187(constB11))))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[539, 396])).
% 11.44/7.52 tff(541,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB11) <=> (~((~v184(constB11)) | (~v160(constB11)))))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(542,plain,
% 11.44/7.52 (v187(constB11) <=> (~((~v184(constB11)) | (~v160(constB11))))),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[541, 408])).
% 11.44/7.52 tff(543,plain,
% 11.44/7.52 (^[VarCurr: $i] : refl((v160(VarCurr) <=> v162(VarCurr)) <=> (v160(VarCurr) <=> v162(VarCurr)))),
% 11.44/7.52 inference(bind,[status(th)],[])).
% 11.44/7.52 tff(544,plain,
% 11.44/7.52 (![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr)) <=> ![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))),
% 11.44/7.52 inference(quant_intro,[status(thm)],[543])).
% 11.44/7.52 tff(545,plain,
% 11.44/7.52 (![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr)) <=> ![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))),
% 11.44/7.52 inference(rewrite,[status(thm)],[])).
% 11.44/7.52 tff(546,axiom,(![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10')).
% 11.44/7.52 tff(547,plain,
% 11.44/7.52 (![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[546, 545])).
% 11.44/7.52 tff(548,plain,(
% 11.44/7.52 ![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))),
% 11.44/7.52 inference(skolemize,[status(sab)],[547])).
% 11.44/7.52 tff(549,plain,
% 11.44/7.52 (![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[548, 544])).
% 11.44/7.52 tff(550,plain,
% 11.44/7.52 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB11) <=> v162(constB11))),
% 11.44/7.52 inference(quant_inst,[status(thm)],[])).
% 11.44/7.52 tff(551,plain,
% 11.44/7.52 (v160(constB11) <=> v162(constB11)),
% 11.44/7.52 inference(unit_resolution,[status(thm)],[550, 549])).
% 11.44/7.52 tff(552,plain,
% 11.44/7.52 (^[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))))))),
% 11.44/7.52 inference(bind,[status(th)],[])).
% 11.44/7.52 tff(553,plain,
% 11.44/7.52 (![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)))))),
% 11.44/7.52 inference(quant_intro,[status(thm)],[552])).
% 11.44/7.52 tff(554,plain,
% 11.44/7.52 (^[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))))))),
% 11.44/7.52 inference(bind,[status(th)],[])).
% 11.44/7.52 tff(555,plain,
% 11.44/7.52 (![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)))))),
% 11.44/7.52 inference(quant_intro,[status(thm)],[554])).
% 11.44/7.52 tff(556,plain,
% 11.44/7.52 (![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)))),
% 11.44/7.52 inference(rewrite,[status(thm)],[])).
% 11.44/7.52 tff(557,plain,
% 11.44/7.52 (^[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))))),
% 11.44/7.52 inference(bind,[status(th)],[])).
% 11.44/7.52 tff(558,plain,
% 11.44/7.52 (![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)))),
% 11.44/7.52 inference(quant_intro,[status(thm)],[557])).
% 11.44/7.52 tff(559,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')).
% 11.44/7.52 tff(560,plain,
% 11.44/7.52 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[559, 558])).
% 11.44/7.52 tff(561,plain,
% 11.44/7.52 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 11.44/7.52 inference(modus_ponens,[status(thm)],[560, 556])).
% 11.44/7.52 tff(562,plain,(
% 11.44/7.52 ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 11.44/7.53 inference(skolemize,[status(sab)],[561])).
% 11.44/7.53 tff(563,plain,
% 11.44/7.53 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[562, 555])).
% 11.44/7.53 tff(564,plain,
% 11.44/7.53 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[563, 553])).
% 11.44/7.53 tff(565,plain,
% 11.44/7.53 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)))))),
% 11.44/7.53 inference(quant_inst,[status(thm)],[])).
% 11.44/7.53 tff(566,plain,
% 11.44/7.53 (v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0))))),
% 11.44/7.53 inference(unit_resolution,[status(thm)],[565, 564])).
% 11.44/7.53 tff(567,plain,
% 11.44/7.53 (^[VarCurr: $i, B: $i] : refl(((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(568,plain,
% 11.44/7.53 (![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)))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[567])).
% 11.44/7.53 tff(569,plain,
% 11.44/7.53 (![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)))),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(570,plain,
% 11.44/7.53 (^[VarCurr: $i, B: $i] : rewrite((less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(571,plain,
% 11.44/7.53 (![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)))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[570])).
% 11.44/7.53 tff(572,axiom,(![VarCurr: $i, B: $i] : (less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8')).
% 11.44/7.53 tff(573,plain,
% 11.44/7.53 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[572, 571])).
% 11.44/7.53 tff(574,plain,
% 11.44/7.53 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[573, 569])).
% 11.44/7.53 tff(575,plain,(
% 11.44/7.53 ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 11.44/7.53 inference(skolemize,[status(sab)],[574])).
% 11.44/7.53 tff(576,plain,
% 11.44/7.53 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[575, 568])).
% 11.44/7.53 tff(577,plain,
% 11.44/7.53 (less_3(bitIndex2) <=> less_3(bitIndex2)),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(578,axiom,(less_3(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_5')).
% 11.44/7.53 tff(579,plain,
% 11.44/7.53 (less_3(bitIndex2)),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[578, 577])).
% 11.44/7.53 tff(580,plain,
% 11.44/7.53 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB11, bitIndex2) <=> v90(constB11, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB11, bitIndex2) <=> v90(constB11, bitIndex2)))),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(581,plain,
% 11.44/7.53 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB11, bitIndex2) <=> v90(constB11, bitIndex2)))),
% 11.44/7.53 inference(quant_inst,[status(thm)],[])).
% 11.44/7.53 tff(582,plain,
% 11.44/7.53 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB11, bitIndex2) <=> v90(constB11, bitIndex2))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[581, 580])).
% 11.44/7.53 tff(583,plain,
% 11.44/7.53 (v88(constB11, bitIndex2) <=> v90(constB11, bitIndex2)),
% 11.44/7.53 inference(unit_resolution,[status(thm)],[582, 579, 576])).
% 11.44/7.53 tff(584,plain,
% 11.44/7.53 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(585,plain,
% 11.44/7.53 (![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))))))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[584])).
% 11.44/7.53 tff(586,plain,
% 11.44/7.53 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(587,plain,
% 11.44/7.53 (![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))))))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[586])).
% 11.44/7.53 tff(588,plain,
% 11.44/7.53 (![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))))),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(589,plain,
% 11.44/7.53 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(590,plain,
% 11.44/7.53 (![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))))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[589])).
% 11.44/7.53 tff(591,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27')).
% 11.44/7.53 tff(592,plain,
% 11.44/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[591, 590])).
% 11.44/7.53 tff(593,plain,
% 11.44/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[592, 588])).
% 11.44/7.53 tff(594,plain,(
% 11.44/7.53 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 11.44/7.53 inference(skolemize,[status(sab)],[593])).
% 11.44/7.53 tff(595,plain,
% 11.44/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[594, 587])).
% 11.44/7.53 tff(596,plain,
% 11.44/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[595, 585])).
% 11.44/7.53 tff(597,plain,
% 11.44/7.53 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(598,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10')).
% 11.44/7.53 tff(599,plain,
% 11.44/7.53 (nextState(constB10, constB11)),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[598, 597])).
% 11.44/7.53 tff(600,plain,
% 11.44/7.53 (((~![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))))))),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(601,plain,
% 11.44/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 11.44/7.53 inference(quant_inst,[status(thm)],[])).
% 11.44/7.53 tff(602,plain,
% 11.44/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 11.44/7.53 inference(modus_ponens,[status(thm)],[601, 600])).
% 11.44/7.53 tff(603,plain,
% 11.44/7.53 (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 11.44/7.53 inference(unit_resolution,[status(thm)],[602, 599, 596])).
% 11.44/7.53 tff(604,plain,
% 11.44/7.53 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(605,plain,
% 11.44/7.53 (![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))))))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[604])).
% 11.44/7.53 tff(606,plain,
% 11.44/7.53 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(607,plain,
% 11.44/7.53 (![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))))))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[606])).
% 11.44/7.53 tff(608,plain,
% 11.44/7.53 (![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))))),
% 11.44/7.53 inference(rewrite,[status(thm)],[])).
% 11.44/7.53 tff(609,plain,
% 11.44/7.53 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 11.44/7.53 inference(bind,[status(th)],[])).
% 11.44/7.53 tff(610,plain,
% 11.44/7.53 (![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))))),
% 11.44/7.53 inference(quant_intro,[status(thm)],[609])).
% 11.53/7.53 tff(611,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18')).
% 11.53/7.53 tff(612,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[611, 610])).
% 11.53/7.53 tff(613,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[612, 608])).
% 11.53/7.53 tff(614,plain,(
% 11.53/7.53 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 11.53/7.53 inference(skolemize,[status(sab)],[613])).
% 11.53/7.53 tff(615,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[614, 607])).
% 11.53/7.53 tff(616,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[615, 605])).
% 11.53/7.53 tff(617,plain,
% 11.53/7.53 (((~![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))))))),
% 11.53/7.53 inference(rewrite,[status(thm)],[])).
% 11.53/7.53 tff(618,plain,
% 11.53/7.53 (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 11.53/7.53 inference(rewrite,[status(thm)],[])).
% 11.53/7.53 tff(619,plain,
% 11.53/7.53 (((~![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)))))))),
% 11.53/7.53 inference(monotonicity,[status(thm)],[618])).
% 11.53/7.53 tff(620,plain,
% 11.53/7.53 (((~![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))))))),
% 11.53/7.53 inference(transitivity,[status(thm)],[619, 617])).
% 11.53/7.53 tff(621,plain,
% 11.53/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 11.53/7.53 inference(quant_inst,[status(thm)],[])).
% 11.53/7.53 tff(622,plain,
% 11.53/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[621, 620])).
% 11.53/7.53 tff(623,plain,
% 11.53/7.53 (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[622, 599, 616])).
% 11.53/7.53 tff(624,plain,
% 11.53/7.53 (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 11.53/7.53 inference(tautology,[status(thm)],[])).
% 11.53/7.53 tff(625,plain,
% 11.53/7.53 ((~v1(constB11)) | (~v102(constB11))),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[624, 520])).
% 11.53/7.53 tff(626,plain,
% 11.53/7.53 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 11.53/7.53 inference(tautology,[status(thm)],[])).
% 11.53/7.53 tff(627,plain,
% 11.53/7.53 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[626, 625])).
% 11.53/7.53 tff(628,plain,
% 11.53/7.53 (~v101(constB11)),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[627, 623])).
% 11.53/7.53 tff(629,plain,
% 11.53/7.53 (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 11.53/7.53 inference(tautology,[status(thm)],[])).
% 11.53/7.53 tff(630,plain,
% 11.53/7.53 ((~v101(constB11)) | (~v110(constB11))),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[629, 628])).
% 11.53/7.53 tff(631,plain,
% 11.53/7.53 ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 11.53/7.53 inference(tautology,[status(thm)],[])).
% 11.53/7.53 tff(632,plain,
% 11.53/7.53 (~v100(constB11)),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[631, 630, 603])).
% 11.53/7.53 tff(633,plain,
% 11.53/7.53 (^[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)))))),
% 11.53/7.53 inference(bind,[status(th)],[])).
% 11.53/7.53 tff(634,plain,
% 11.53/7.53 (![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))))),
% 11.53/7.53 inference(quant_intro,[status(thm)],[633])).
% 11.53/7.53 tff(635,plain,
% 11.53/7.53 (^[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)))))),
% 11.53/7.53 inference(bind,[status(th)],[])).
% 11.53/7.53 tff(636,plain,
% 11.53/7.53 (![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))))),
% 11.53/7.53 inference(quant_intro,[status(thm)],[635])).
% 11.53/7.53 tff(637,plain,
% 11.53/7.53 (![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))))),
% 11.53/7.53 inference(transitivity,[status(thm)],[636, 634])).
% 11.53/7.53 tff(638,plain,
% 11.53/7.53 (![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))))),
% 11.53/7.53 inference(rewrite,[status(thm)],[])).
% 11.53/7.53 tff(639,plain,
% 11.53/7.53 (^[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))))))),
% 11.53/7.53 inference(bind,[status(th)],[])).
% 11.53/7.53 tff(640,plain,
% 11.53/7.53 (![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))))),
% 11.53/7.53 inference(quant_intro,[status(thm)],[639])).
% 11.53/7.53 tff(641,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')).
% 11.53/7.53 tff(642,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[641, 640])).
% 11.53/7.53 tff(643,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[642, 638])).
% 11.53/7.53 tff(644,plain,(
% 11.53/7.53 ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 11.53/7.53 inference(skolemize,[status(sab)],[643])).
% 11.53/7.53 tff(645,plain,
% 11.53/7.53 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[644, 637])).
% 11.53/7.53 tff(646,plain,
% 11.53/7.53 (((~![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))))),
% 11.53/7.53 inference(rewrite,[status(thm)],[])).
% 11.53/7.53 tff(647,plain,
% 11.53/7.53 ((~![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))))),
% 11.53/7.53 inference(quant_inst,[status(thm)],[])).
% 11.53/7.53 tff(648,plain,
% 11.53/7.53 ((~![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)))),
% 11.53/7.53 inference(modus_ponens,[status(thm)],[647, 646])).
% 11.53/7.53 tff(649,plain,
% 11.53/7.53 (v100(constB11) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[648, 599, 645])).
% 11.53/7.53 tff(650,plain,
% 11.53/7.53 (![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 11.53/7.53 inference(unit_resolution,[status(thm)],[649, 632])).
% 11.53/7.53 tff(651,plain,
% 11.53/7.53 (((~![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)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(652,plain,
% 11.53/7.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(653,plain,
% 11.53/7.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[652, 651])).
% 11.53/7.54 tff(654,plain,
% 11.53/7.54 (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[653, 579, 650])).
% 11.53/7.54 tff(655,plain,
% 11.53/7.54 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(656,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9')).
% 11.53/7.54 tff(657,plain,
% 11.53/7.54 (nextState(constB9, constB10)),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[656, 655])).
% 11.53/7.54 tff(658,plain,
% 11.53/7.54 (((~![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))))))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(659,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(660,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[659, 658])).
% 11.53/7.54 tff(661,plain,
% 11.53/7.54 (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[660, 657, 596])).
% 11.53/7.54 tff(662,plain,
% 11.53/7.54 (((~![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))))))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(663,plain,
% 11.53/7.54 (((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(664,plain,
% 11.53/7.54 (((~![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)))))))),
% 11.53/7.54 inference(monotonicity,[status(thm)],[663])).
% 11.53/7.54 tff(665,plain,
% 11.53/7.54 (((~![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))))))),
% 11.53/7.54 inference(transitivity,[status(thm)],[664, 662])).
% 11.53/7.54 tff(666,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(667,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[666, 665])).
% 11.53/7.54 tff(668,plain,
% 11.53/7.54 (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[667, 657, 616])).
% 11.53/7.54 tff(669,plain,
% 11.53/7.54 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(670,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[669])).
% 11.53/7.54 tff(671,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(672,plain,
% 11.53/7.54 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(673,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[672])).
% 11.53/7.54 tff(674,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 11.53/7.54 tff(675,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[674, 673])).
% 11.53/7.54 tff(676,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[675, 671])).
% 11.53/7.54 tff(677,plain,(
% 11.53/7.54 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(skolemize,[status(sab)],[676])).
% 11.53/7.54 tff(678,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[677, 670])).
% 11.53/7.54 tff(679,plain,
% 11.53/7.54 (((~![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)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(680,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(681,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[680, 679])).
% 11.53/7.54 tff(682,plain,
% 11.53/7.54 ((~v102(constB10)) <=> v104(constB10)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[681, 657, 678])).
% 11.53/7.54 tff(683,plain,
% 11.53/7.54 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(684,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[683])).
% 11.53/7.54 tff(685,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(686,plain,
% 11.53/7.54 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(687,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[686])).
% 11.53/7.54 tff(688,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5')).
% 11.53/7.54 tff(689,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[688, 687])).
% 11.53/7.54 tff(690,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[689, 685])).
% 11.53/7.54 tff(691,plain,(
% 11.53/7.54 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(skolemize,[status(sab)],[690])).
% 11.53/7.54 tff(692,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[691, 684])).
% 11.53/7.54 tff(693,plain,
% 11.53/7.54 (((~![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)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(694,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(695,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[694, 693])).
% 11.53/7.54 tff(696,plain,
% 11.53/7.54 (v104(constB10) <=> v1(constB9)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[695, 657, 692])).
% 11.53/7.54 tff(697,plain,
% 11.53/7.54 ((~v1(constB9)) <=> (~v1(constB9))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(698,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9')).
% 11.53/7.54 tff(699,plain,
% 11.53/7.54 (~v1(constB9)),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[698, 697])).
% 11.53/7.54 tff(700,plain,
% 11.53/7.54 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10)) | v1(constB9)),
% 11.53/7.54 inference(tautology,[status(thm)],[])).
% 11.53/7.54 tff(701,plain,
% 11.53/7.54 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[700, 699])).
% 11.53/7.54 tff(702,plain,
% 11.53/7.54 (~v104(constB10)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[701, 696])).
% 11.53/7.54 tff(703,plain,
% 11.53/7.54 ((~((~v102(constB10)) <=> v104(constB10))) | v102(constB10) | v104(constB10)),
% 11.53/7.54 inference(tautology,[status(thm)],[])).
% 11.53/7.54 tff(704,plain,
% 11.53/7.54 (v102(constB10)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[703, 702, 682])).
% 11.53/7.54 tff(705,plain,
% 11.53/7.54 (v1(constB10) <=> v1(constB10)),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(706,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10')).
% 11.53/7.54 tff(707,plain,
% 11.53/7.54 (v1(constB10)),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[706, 705])).
% 11.53/7.54 tff(708,plain,
% 11.53/7.54 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v1(constB10)) | (~v102(constB10))),
% 11.53/7.54 inference(tautology,[status(thm)],[])).
% 11.53/7.54 tff(709,plain,
% 11.53/7.54 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v102(constB10))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[708, 707])).
% 11.53/7.54 tff(710,plain,
% 11.53/7.54 (~((~v1(constB10)) | (~v102(constB10)))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[709, 704])).
% 11.53/7.54 tff(711,plain,
% 11.53/7.54 ((~(v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))) | v101(constB10) | ((~v1(constB10)) | (~v102(constB10)))),
% 11.53/7.54 inference(tautology,[status(thm)],[])).
% 11.53/7.54 tff(712,plain,
% 11.53/7.54 (v101(constB10)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[711, 710, 668])).
% 11.53/7.54 tff(713,plain,
% 11.53/7.54 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(714,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[713])).
% 11.53/7.54 tff(715,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(716,plain,
% 11.53/7.54 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(717,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[716])).
% 11.53/7.54 tff(718,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6')).
% 11.53/7.54 tff(719,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[718, 717])).
% 11.53/7.54 tff(720,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[719, 715])).
% 11.53/7.54 tff(721,plain,(
% 11.53/7.54 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(skolemize,[status(sab)],[720])).
% 11.53/7.54 tff(722,plain,
% 11.53/7.54 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[721, 714])).
% 11.53/7.54 tff(723,plain,
% 11.53/7.54 (((~![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)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(724,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(725,plain,
% 11.53/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[724, 723])).
% 11.53/7.54 tff(726,plain,
% 11.53/7.54 (v110(constB10) <=> v108(constB9)),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[725, 657, 722])).
% 11.53/7.54 tff(727,plain,
% 11.53/7.54 (^[VarCurr: $i] : refl((v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(728,plain,
% 11.53/7.54 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[727])).
% 11.53/7.54 tff(729,plain,
% 11.53/7.54 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(730,axiom,(![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26')).
% 11.53/7.54 tff(731,plain,
% 11.53/7.54 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[730, 729])).
% 11.53/7.54 tff(732,plain,(
% 11.53/7.54 ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 11.53/7.54 inference(skolemize,[status(sab)],[731])).
% 11.53/7.54 tff(733,plain,
% 11.53/7.54 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[732, 728])).
% 11.53/7.54 tff(734,plain,
% 11.53/7.54 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB9) <=> (v111(constB9) | v112(constB9)))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(735,plain,
% 11.53/7.54 (v108(constB9) <=> (v111(constB9) | v112(constB9))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[734, 733])).
% 11.53/7.54 tff(736,plain,
% 11.53/7.54 (^[VarCurr: $i] : refl((v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(737,plain,
% 11.53/7.54 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[736])).
% 11.53/7.54 tff(738,plain,
% 11.53/7.54 (^[VarCurr: $i] : rewrite((v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(739,plain,
% 11.53/7.54 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 11.53/7.54 inference(quant_intro,[status(thm)],[738])).
% 11.53/7.54 tff(740,plain,
% 11.53/7.54 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 11.53/7.54 inference(rewrite,[status(thm)],[])).
% 11.53/7.54 tff(741,axiom,(![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25')).
% 11.53/7.54 tff(742,plain,
% 11.53/7.54 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[741, 740])).
% 11.53/7.54 tff(743,plain,(
% 11.53/7.54 ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 11.53/7.54 inference(skolemize,[status(sab)],[742])).
% 11.53/7.54 tff(744,plain,
% 11.53/7.54 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[743, 739])).
% 11.53/7.54 tff(745,plain,
% 11.53/7.54 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 11.53/7.54 inference(modus_ponens,[status(thm)],[744, 737])).
% 11.53/7.54 tff(746,plain,
% 11.53/7.54 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))),
% 11.53/7.54 inference(quant_inst,[status(thm)],[])).
% 11.53/7.54 tff(747,plain,
% 11.53/7.54 (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9))))),
% 11.53/7.54 inference(unit_resolution,[status(thm)],[746, 745])).
% 11.53/7.54 tff(748,plain,
% 11.53/7.54 (^[VarCurr: $i] : refl((v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))))),
% 11.53/7.54 inference(bind,[status(th)],[])).
% 11.53/7.54 tff(749,plain,
% 11.53/7.55 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 11.53/7.55 inference(quant_intro,[status(thm)],[748])).
% 11.53/7.55 tff(750,plain,
% 11.53/7.55 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(751,axiom,(![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24')).
% 11.53/7.55 tff(752,plain,
% 11.53/7.55 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[751, 750])).
% 11.53/7.55 tff(753,plain,(
% 11.53/7.55 ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 11.53/7.55 inference(skolemize,[status(sab)],[752])).
% 11.53/7.55 tff(754,plain,
% 11.53/7.55 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[753, 749])).
% 11.53/7.55 tff(755,plain,
% 11.53/7.55 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB9) <=> (v114(constB9) | v125(constB9)))),
% 11.53/7.55 inference(quant_inst,[status(thm)],[])).
% 11.53/7.55 tff(756,plain,
% 11.53/7.55 (v113(constB9) <=> (v114(constB9) | v125(constB9))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[755, 754])).
% 11.53/7.55 tff(757,plain,
% 11.53/7.55 (^[VarCurr: $i] : refl((v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))))),
% 11.53/7.55 inference(bind,[status(th)],[])).
% 11.53/7.55 tff(758,plain,
% 11.53/7.55 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 11.53/7.55 inference(quant_intro,[status(thm)],[757])).
% 11.53/7.55 tff(759,plain,
% 11.53/7.55 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(760,axiom,(![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23')).
% 11.53/7.55 tff(761,plain,
% 11.53/7.55 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[760, 759])).
% 11.53/7.55 tff(762,plain,(
% 11.53/7.55 ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 11.53/7.55 inference(skolemize,[status(sab)],[761])).
% 11.53/7.55 tff(763,plain,
% 11.53/7.55 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[762, 758])).
% 11.53/7.55 tff(764,plain,
% 11.53/7.55 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB9) <=> (v115(constB9) | v124(constB9)))),
% 11.53/7.55 inference(quant_inst,[status(thm)],[])).
% 11.53/7.55 tff(765,plain,
% 11.53/7.55 (v114(constB9) <=> (v115(constB9) | v124(constB9))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[764, 763])).
% 11.53/7.55 tff(766,plain,
% 11.53/7.55 (^[VarCurr: $i] : refl((v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))))),
% 11.53/7.55 inference(bind,[status(th)],[])).
% 11.53/7.55 tff(767,plain,
% 11.53/7.55 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 11.53/7.55 inference(quant_intro,[status(thm)],[766])).
% 11.53/7.55 tff(768,plain,
% 11.53/7.55 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(769,axiom,(![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22')).
% 11.53/7.55 tff(770,plain,
% 11.53/7.55 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[769, 768])).
% 11.53/7.55 tff(771,plain,(
% 11.53/7.55 ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 11.53/7.55 inference(skolemize,[status(sab)],[770])).
% 11.53/7.55 tff(772,plain,
% 11.53/7.55 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[771, 767])).
% 11.53/7.55 tff(773,plain,
% 11.53/7.55 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB9) <=> (v116(constB9) | v123(constB9)))),
% 11.53/7.55 inference(quant_inst,[status(thm)],[])).
% 11.53/7.55 tff(774,plain,
% 11.53/7.55 (v115(constB9) <=> (v116(constB9) | v123(constB9))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[773, 772])).
% 11.53/7.55 tff(775,plain,
% 11.53/7.55 (^[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))))))),
% 11.53/7.55 inference(bind,[status(th)],[])).
% 11.53/7.55 tff(776,plain,
% 11.53/7.55 (![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)))))),
% 11.53/7.55 inference(quant_intro,[status(thm)],[775])).
% 11.53/7.55 tff(777,plain,
% 11.53/7.55 (^[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))))))),
% 11.53/7.55 inference(bind,[status(th)],[])).
% 11.53/7.55 tff(778,plain,
% 11.53/7.55 (![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)))))),
% 11.53/7.55 inference(quant_intro,[status(thm)],[777])).
% 11.53/7.55 tff(779,plain,
% 11.53/7.55 (![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))))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(780,plain,
% 11.53/7.55 (^[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)))))),
% 11.53/7.55 inference(bind,[status(th)],[])).
% 11.53/7.55 tff(781,plain,
% 11.53/7.55 (![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))))),
% 11.53/7.55 inference(quant_intro,[status(thm)],[780])).
% 11.53/7.55 tff(782,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')).
% 11.53/7.55 tff(783,plain,
% 11.53/7.55 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[782, 781])).
% 11.53/7.55 tff(784,plain,
% 11.53/7.55 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[783, 779])).
% 11.53/7.55 tff(785,plain,(
% 11.53/7.55 ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 11.53/7.55 inference(skolemize,[status(sab)],[784])).
% 11.53/7.55 tff(786,plain,
% 11.53/7.55 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[785, 778])).
% 11.53/7.55 tff(787,plain,
% 11.53/7.55 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[786, 776])).
% 11.53/7.55 tff(788,plain,
% 11.53/7.55 (((~![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)))))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(789,plain,
% 11.53/7.55 ((v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2))))) <=> (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(790,plain,
% 11.53/7.55 (((~![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)))))),
% 11.53/7.55 inference(monotonicity,[status(thm)],[789])).
% 11.53/7.55 tff(791,plain,
% 11.53/7.55 (((~![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)))))),
% 11.53/7.55 inference(transitivity,[status(thm)],[790, 788])).
% 11.53/7.55 tff(792,plain,
% 11.53/7.55 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))),
% 11.53/7.55 inference(quant_inst,[status(thm)],[])).
% 11.53/7.55 tff(793,plain,
% 11.53/7.55 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[792, 791])).
% 11.53/7.55 tff(794,plain,
% 11.53/7.55 (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[793, 787])).
% 11.53/7.55 tff(795,plain,
% 11.53/7.55 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(796,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8')).
% 11.53/7.55 tff(797,plain,
% 11.53/7.55 (nextState(constB8, constB9)),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[796, 795])).
% 11.53/7.55 tff(798,plain,
% 11.53/7.55 (((~![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))))))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(799,plain,
% 11.53/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 11.53/7.55 inference(quant_inst,[status(thm)],[])).
% 11.53/7.55 tff(800,plain,
% 11.53/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[799, 798])).
% 11.53/7.55 tff(801,plain,
% 11.53/7.55 (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[800, 797, 596])).
% 11.53/7.55 tff(802,plain,
% 11.53/7.55 (((~![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))))))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(803,plain,
% 11.53/7.55 (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 11.53/7.55 inference(rewrite,[status(thm)],[])).
% 11.53/7.55 tff(804,plain,
% 11.53/7.55 (((~![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)))))))),
% 11.53/7.55 inference(monotonicity,[status(thm)],[803])).
% 11.53/7.55 tff(805,plain,
% 11.53/7.55 (((~![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))))))),
% 11.53/7.55 inference(transitivity,[status(thm)],[804, 802])).
% 11.53/7.55 tff(806,plain,
% 11.53/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 11.53/7.55 inference(quant_inst,[status(thm)],[])).
% 11.53/7.55 tff(807,plain,
% 11.53/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 11.53/7.55 inference(modus_ponens,[status(thm)],[806, 805])).
% 11.53/7.55 tff(808,plain,
% 11.53/7.55 (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[807, 797, 616])).
% 11.53/7.55 tff(809,plain,
% 11.53/7.55 (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 11.53/7.55 inference(tautology,[status(thm)],[])).
% 11.53/7.55 tff(810,plain,
% 11.53/7.55 ((~v1(constB9)) | (~v102(constB9))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[809, 699])).
% 11.53/7.55 tff(811,plain,
% 11.53/7.55 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 11.53/7.55 inference(tautology,[status(thm)],[])).
% 11.53/7.55 tff(812,plain,
% 11.53/7.55 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[811, 810])).
% 11.53/7.55 tff(813,plain,
% 11.53/7.55 (~v101(constB9)),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[812, 808])).
% 11.53/7.55 tff(814,plain,
% 11.53/7.55 (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 11.53/7.55 inference(tautology,[status(thm)],[])).
% 11.53/7.55 tff(815,plain,
% 11.53/7.55 ((~v101(constB9)) | (~v110(constB9))),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[814, 813])).
% 11.53/7.55 tff(816,plain,
% 11.53/7.55 ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 11.53/7.55 inference(tautology,[status(thm)],[])).
% 11.53/7.55 tff(817,plain,
% 11.53/7.55 (~v100(constB9)),
% 11.53/7.55 inference(unit_resolution,[status(thm)],[816, 815, 801])).
% 11.53/7.55 tff(818,plain,
% 11.53/7.55 (((~![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))))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(819,plain,
% 11.53/7.56 ((~![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))))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(820,plain,
% 11.53/7.56 ((~![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)))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[819, 818])).
% 11.53/7.56 tff(821,plain,
% 11.53/7.56 (v100(constB9) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[820, 797, 645])).
% 11.53/7.56 tff(822,plain,
% 11.53/7.56 (![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[821, 817])).
% 11.53/7.56 tff(823,plain,
% 11.53/7.56 (((~![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)))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(824,plain,
% 11.53/7.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(825,plain,
% 11.53/7.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[824, 823])).
% 11.53/7.56 tff(826,plain,
% 11.53/7.56 (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[825, 579, 822])).
% 11.53/7.56 tff(827,plain,
% 11.53/7.56 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(828,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7')).
% 11.53/7.56 tff(829,plain,
% 11.53/7.56 (nextState(constB7, constB8)),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[828, 827])).
% 11.53/7.56 tff(830,plain,
% 11.53/7.56 (((~![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))))))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(831,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(832,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[831, 830])).
% 11.53/7.56 tff(833,plain,
% 11.53/7.56 (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[832, 829, 596])).
% 11.53/7.56 tff(834,plain,
% 11.53/7.56 (((~![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))))))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(835,plain,
% 11.53/7.56 (((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(836,plain,
% 11.53/7.56 (((~![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)))))))),
% 11.53/7.56 inference(monotonicity,[status(thm)],[835])).
% 11.53/7.56 tff(837,plain,
% 11.53/7.56 (((~![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))))))),
% 11.53/7.56 inference(transitivity,[status(thm)],[836, 834])).
% 11.53/7.56 tff(838,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(839,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[838, 837])).
% 11.53/7.56 tff(840,plain,
% 11.53/7.56 (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[839, 829, 616])).
% 11.53/7.56 tff(841,plain,
% 11.53/7.56 (((~![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)))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(842,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(843,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[842, 841])).
% 11.53/7.56 tff(844,plain,
% 11.53/7.56 ((~v102(constB8)) <=> v104(constB8)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[843, 829, 678])).
% 11.53/7.56 tff(845,plain,
% 11.53/7.56 (((~![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)))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(846,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(847,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[846, 845])).
% 11.53/7.56 tff(848,plain,
% 11.53/7.56 (v104(constB8) <=> v1(constB7)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[847, 829, 692])).
% 11.53/7.56 tff(849,plain,
% 11.53/7.56 ((~v1(constB7)) <=> (~v1(constB7))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(850,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7')).
% 11.53/7.56 tff(851,plain,
% 11.53/7.56 (~v1(constB7)),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[850, 849])).
% 11.53/7.56 tff(852,plain,
% 11.53/7.56 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8)) | v1(constB7)),
% 11.53/7.56 inference(tautology,[status(thm)],[])).
% 11.53/7.56 tff(853,plain,
% 11.53/7.56 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[852, 851])).
% 11.53/7.56 tff(854,plain,
% 11.53/7.56 (~v104(constB8)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[853, 848])).
% 11.53/7.56 tff(855,plain,
% 11.53/7.56 ((~((~v102(constB8)) <=> v104(constB8))) | v102(constB8) | v104(constB8)),
% 11.53/7.56 inference(tautology,[status(thm)],[])).
% 11.53/7.56 tff(856,plain,
% 11.53/7.56 (v102(constB8)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[855, 854, 844])).
% 11.53/7.56 tff(857,plain,
% 11.53/7.56 (v1(constB8) <=> v1(constB8)),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(858,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8')).
% 11.53/7.56 tff(859,plain,
% 11.53/7.56 (v1(constB8)),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[858, 857])).
% 11.53/7.56 tff(860,plain,
% 11.53/7.56 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v1(constB8)) | (~v102(constB8))),
% 11.53/7.56 inference(tautology,[status(thm)],[])).
% 11.53/7.56 tff(861,plain,
% 11.53/7.56 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v102(constB8))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[860, 859])).
% 11.53/7.56 tff(862,plain,
% 11.53/7.56 (~((~v1(constB8)) | (~v102(constB8)))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[861, 856])).
% 11.53/7.56 tff(863,plain,
% 11.53/7.56 ((~(v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))) | v101(constB8) | ((~v1(constB8)) | (~v102(constB8)))),
% 11.53/7.56 inference(tautology,[status(thm)],[])).
% 11.53/7.56 tff(864,plain,
% 11.53/7.56 (v101(constB8)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[863, 862, 840])).
% 11.53/7.56 tff(865,plain,
% 11.53/7.56 (((~![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)))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(866,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(867,plain,
% 11.53/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[866, 865])).
% 11.53/7.56 tff(868,plain,
% 11.53/7.56 (v110(constB8) <=> v108(constB7)),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[867, 829, 722])).
% 11.53/7.56 tff(869,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB7) <=> (v111(constB7) | v112(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(870,plain,
% 11.53/7.56 (v108(constB7) <=> (v111(constB7) | v112(constB7))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[869, 733])).
% 11.53/7.56 tff(871,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(872,plain,
% 11.53/7.56 (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7))))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[871, 745])).
% 11.53/7.56 tff(873,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB7) <=> (v114(constB7) | v125(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(874,plain,
% 11.53/7.56 (v113(constB7) <=> (v114(constB7) | v125(constB7))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[873, 754])).
% 11.53/7.56 tff(875,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB7) <=> (v115(constB7) | v124(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(876,plain,
% 11.53/7.56 (v114(constB7) <=> (v115(constB7) | v124(constB7))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[875, 763])).
% 11.53/7.56 tff(877,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB7) <=> (v116(constB7) | v123(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(878,plain,
% 11.53/7.56 (v115(constB7) <=> (v116(constB7) | v123(constB7))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[877, 772])).
% 11.53/7.56 tff(879,plain,
% 11.53/7.56 (^[VarCurr: $i] : refl((v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))))),
% 11.53/7.56 inference(bind,[status(th)],[])).
% 11.53/7.56 tff(880,plain,
% 11.53/7.56 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 11.53/7.56 inference(quant_intro,[status(thm)],[879])).
% 11.53/7.56 tff(881,plain,
% 11.53/7.56 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(882,axiom,(![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21')).
% 11.53/7.56 tff(883,plain,
% 11.53/7.56 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[882, 881])).
% 11.53/7.56 tff(884,plain,(
% 11.53/7.56 ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 11.53/7.56 inference(skolemize,[status(sab)],[883])).
% 11.53/7.56 tff(885,plain,
% 11.53/7.56 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[884, 880])).
% 11.53/7.56 tff(886,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB7) <=> (v117(constB7) | v122(constB7)))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(887,plain,
% 11.53/7.56 (v116(constB7) <=> (v117(constB7) | v122(constB7))),
% 11.53/7.56 inference(unit_resolution,[status(thm)],[886, 885])).
% 11.53/7.56 tff(888,plain,
% 11.53/7.56 (^[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))))))),
% 11.53/7.56 inference(bind,[status(th)],[])).
% 11.53/7.56 tff(889,plain,
% 11.53/7.56 (![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)))))),
% 11.53/7.56 inference(quant_intro,[status(thm)],[888])).
% 11.53/7.56 tff(890,plain,
% 11.53/7.56 (^[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))))))),
% 11.53/7.56 inference(bind,[status(th)],[])).
% 11.53/7.56 tff(891,plain,
% 11.53/7.56 (![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)))))),
% 11.53/7.56 inference(quant_intro,[status(thm)],[890])).
% 11.53/7.56 tff(892,plain,
% 11.53/7.56 (![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)))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(893,plain,
% 11.53/7.56 (^[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))))),
% 11.53/7.56 inference(bind,[status(th)],[])).
% 11.53/7.56 tff(894,plain,
% 11.53/7.56 (![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)))),
% 11.53/7.56 inference(quant_intro,[status(thm)],[893])).
% 11.53/7.56 tff(895,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')).
% 11.53/7.56 tff(896,plain,
% 11.53/7.56 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[895, 894])).
% 11.53/7.56 tff(897,plain,
% 11.53/7.56 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[896, 892])).
% 11.53/7.56 tff(898,plain,(
% 11.53/7.56 ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 11.53/7.56 inference(skolemize,[status(sab)],[897])).
% 11.53/7.56 tff(899,plain,
% 11.53/7.56 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[898, 891])).
% 11.53/7.56 tff(900,plain,
% 11.53/7.56 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[899, 889])).
% 11.53/7.56 tff(901,plain,
% 11.53/7.56 (((~![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))))))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(902,plain,
% 11.53/7.56 ((v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1))))) <=> (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))),
% 11.53/7.56 inference(rewrite,[status(thm)],[])).
% 11.53/7.56 tff(903,plain,
% 11.53/7.56 (((~![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))))))),
% 11.53/7.56 inference(monotonicity,[status(thm)],[902])).
% 11.53/7.56 tff(904,plain,
% 11.53/7.56 (((~![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))))))),
% 11.53/7.56 inference(transitivity,[status(thm)],[903, 901])).
% 11.53/7.56 tff(905,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))),
% 11.53/7.56 inference(quant_inst,[status(thm)],[])).
% 11.53/7.56 tff(906,plain,
% 11.53/7.56 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))),
% 11.53/7.56 inference(modus_ponens,[status(thm)],[905, 904])).
% 11.53/7.56 tff(907,plain,
% 11.53/7.57 (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[906, 900])).
% 11.53/7.57 tff(908,plain,
% 11.53/7.57 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(909,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6')).
% 11.53/7.57 tff(910,plain,
% 11.53/7.57 (nextState(constB6, constB7)),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[909, 908])).
% 11.53/7.57 tff(911,plain,
% 11.53/7.57 (((~![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))))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(912,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(913,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[912, 911])).
% 11.53/7.57 tff(914,plain,
% 11.53/7.57 (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[913, 910, 596])).
% 11.53/7.57 tff(915,plain,
% 11.53/7.57 (((~![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))))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(916,plain,
% 11.53/7.57 (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(917,plain,
% 11.53/7.57 (((~![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)))))))),
% 11.53/7.57 inference(monotonicity,[status(thm)],[916])).
% 11.53/7.57 tff(918,plain,
% 11.53/7.57 (((~![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))))))),
% 11.53/7.57 inference(transitivity,[status(thm)],[917, 915])).
% 11.53/7.57 tff(919,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(920,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[919, 918])).
% 11.53/7.57 tff(921,plain,
% 11.53/7.57 (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[920, 910, 616])).
% 11.53/7.57 tff(922,plain,
% 11.53/7.57 (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(923,plain,
% 11.53/7.57 ((~v1(constB7)) | (~v102(constB7))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[922, 851])).
% 11.53/7.57 tff(924,plain,
% 11.53/7.57 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(925,plain,
% 11.53/7.57 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[924, 923])).
% 11.53/7.57 tff(926,plain,
% 11.53/7.57 (~v101(constB7)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[925, 921])).
% 11.53/7.57 tff(927,plain,
% 11.53/7.57 (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(928,plain,
% 11.53/7.57 ((~v101(constB7)) | (~v110(constB7))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[927, 926])).
% 11.53/7.57 tff(929,plain,
% 11.53/7.57 ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(930,plain,
% 11.53/7.57 (~v100(constB7)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[929, 928, 914])).
% 11.53/7.57 tff(931,plain,
% 11.53/7.57 (((~![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))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(932,plain,
% 11.53/7.57 ((~![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))))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(933,plain,
% 11.53/7.57 ((~![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)))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[932, 931])).
% 11.53/7.57 tff(934,plain,
% 11.53/7.57 (v100(constB7) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[933, 910, 645])).
% 11.53/7.57 tff(935,plain,
% 11.53/7.57 (![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[934, 930])).
% 11.53/7.57 tff(936,plain,
% 11.53/7.57 (((~![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)))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(937,plain,
% 11.53/7.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(938,plain,
% 11.53/7.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[937, 936])).
% 11.53/7.57 tff(939,plain,
% 11.53/7.57 (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[938, 579, 935])).
% 11.53/7.57 tff(940,plain,
% 11.53/7.57 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(941,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5')).
% 11.53/7.57 tff(942,plain,
% 11.53/7.57 (nextState(constB5, constB6)),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[941, 940])).
% 11.53/7.57 tff(943,plain,
% 11.53/7.57 (((~![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))))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(944,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(945,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[944, 943])).
% 11.53/7.57 tff(946,plain,
% 11.53/7.57 (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[945, 942, 596])).
% 11.53/7.57 tff(947,plain,
% 11.53/7.57 (((~![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))))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(948,plain,
% 11.53/7.57 (((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(949,plain,
% 11.53/7.57 (((~![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)))))))),
% 11.53/7.57 inference(monotonicity,[status(thm)],[948])).
% 11.53/7.57 tff(950,plain,
% 11.53/7.57 (((~![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))))))),
% 11.53/7.57 inference(transitivity,[status(thm)],[949, 947])).
% 11.53/7.57 tff(951,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(952,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[951, 950])).
% 11.53/7.57 tff(953,plain,
% 11.53/7.57 (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[952, 942, 616])).
% 11.53/7.57 tff(954,plain,
% 11.53/7.57 (((~![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)))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(955,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(956,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[955, 954])).
% 11.53/7.57 tff(957,plain,
% 11.53/7.57 ((~v102(constB6)) <=> v104(constB6)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[956, 942, 678])).
% 11.53/7.57 tff(958,plain,
% 11.53/7.57 (((~![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)))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(959,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 11.53/7.57 inference(quant_inst,[status(thm)],[])).
% 11.53/7.57 tff(960,plain,
% 11.53/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5))),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[959, 958])).
% 11.53/7.57 tff(961,plain,
% 11.53/7.57 (v104(constB6) <=> v1(constB5)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[960, 942, 692])).
% 11.53/7.57 tff(962,plain,
% 11.53/7.57 ((~v1(constB5)) <=> (~v1(constB5))),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(963,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5')).
% 11.53/7.57 tff(964,plain,
% 11.53/7.57 (~v1(constB5)),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[963, 962])).
% 11.53/7.57 tff(965,plain,
% 11.53/7.57 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6)) | v1(constB5)),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(966,plain,
% 11.53/7.57 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[965, 964])).
% 11.53/7.57 tff(967,plain,
% 11.53/7.57 (~v104(constB6)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[966, 961])).
% 11.53/7.57 tff(968,plain,
% 11.53/7.57 ((~((~v102(constB6)) <=> v104(constB6))) | v102(constB6) | v104(constB6)),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(969,plain,
% 11.53/7.57 (v102(constB6)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[968, 967, 957])).
% 11.53/7.57 tff(970,plain,
% 11.53/7.57 (v1(constB6) <=> v1(constB6)),
% 11.53/7.57 inference(rewrite,[status(thm)],[])).
% 11.53/7.57 tff(971,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6')).
% 11.53/7.57 tff(972,plain,
% 11.53/7.57 (v1(constB6)),
% 11.53/7.57 inference(modus_ponens,[status(thm)],[971, 970])).
% 11.53/7.57 tff(973,plain,
% 11.53/7.57 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v1(constB6)) | (~v102(constB6))),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(974,plain,
% 11.53/7.57 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v102(constB6))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[973, 972])).
% 11.53/7.57 tff(975,plain,
% 11.53/7.57 (~((~v1(constB6)) | (~v102(constB6)))),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[974, 969])).
% 11.53/7.57 tff(976,plain,
% 11.53/7.57 ((~(v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))) | v101(constB6) | ((~v1(constB6)) | (~v102(constB6)))),
% 11.53/7.57 inference(tautology,[status(thm)],[])).
% 11.53/7.57 tff(977,plain,
% 11.53/7.57 (v101(constB6)),
% 11.53/7.57 inference(unit_resolution,[status(thm)],[976, 975, 953])).
% 11.53/7.57 tff(978,plain,
% 11.53/7.57 (((~![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)))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(979,plain,
% 11.53/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(980,plain,
% 11.53/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[979, 978])).
% 11.53/7.58 tff(981,plain,
% 11.53/7.58 (v110(constB6) <=> v108(constB5)),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[980, 942, 722])).
% 11.53/7.58 tff(982,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB5) <=> (v111(constB5) | v112(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(983,plain,
% 11.53/7.58 (v108(constB5) <=> (v111(constB5) | v112(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[982, 733])).
% 11.53/7.58 tff(984,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(985,plain,
% 11.53/7.58 (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5))))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[984, 745])).
% 11.53/7.58 tff(986,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB5) <=> (v114(constB5) | v125(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(987,plain,
% 11.53/7.58 (v113(constB5) <=> (v114(constB5) | v125(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[986, 754])).
% 11.53/7.58 tff(988,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB5) <=> (v115(constB5) | v124(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(989,plain,
% 11.53/7.58 (v114(constB5) <=> (v115(constB5) | v124(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[988, 763])).
% 11.53/7.58 tff(990,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB5) <=> (v116(constB5) | v123(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(991,plain,
% 11.53/7.58 (v115(constB5) <=> (v116(constB5) | v123(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[990, 772])).
% 11.53/7.58 tff(992,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB5) <=> (v117(constB5) | v122(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(993,plain,
% 11.53/7.58 (v116(constB5) <=> (v117(constB5) | v122(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[992, 885])).
% 11.53/7.58 tff(994,plain,
% 11.53/7.58 (^[VarCurr: $i] : refl((v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))))),
% 11.53/7.58 inference(bind,[status(th)],[])).
% 11.53/7.58 tff(995,plain,
% 11.53/7.58 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 11.53/7.58 inference(quant_intro,[status(thm)],[994])).
% 11.53/7.58 tff(996,plain,
% 11.53/7.58 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(997,axiom,(![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20')).
% 11.53/7.58 tff(998,plain,
% 11.53/7.58 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[997, 996])).
% 11.53/7.58 tff(999,plain,(
% 11.53/7.58 ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 11.53/7.58 inference(skolemize,[status(sab)],[998])).
% 11.53/7.58 tff(1000,plain,
% 11.53/7.58 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[999, 995])).
% 11.53/7.58 tff(1001,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB5) <=> (v118(constB5) | v121(constB5)))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(1002,plain,
% 11.53/7.58 (v117(constB5) <=> (v118(constB5) | v121(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1001, 1000])).
% 11.53/7.58 tff(1003,plain,
% 11.53/7.58 (^[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))))))),
% 11.53/7.58 inference(bind,[status(th)],[])).
% 11.53/7.58 tff(1004,plain,
% 11.53/7.58 (![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)))))),
% 11.53/7.58 inference(quant_intro,[status(thm)],[1003])).
% 11.53/7.58 tff(1005,plain,
% 11.53/7.58 (^[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))))))),
% 11.53/7.58 inference(bind,[status(th)],[])).
% 11.53/7.58 tff(1006,plain,
% 11.53/7.58 (![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)))))),
% 11.53/7.58 inference(quant_intro,[status(thm)],[1005])).
% 11.53/7.58 tff(1007,plain,
% 11.53/7.58 (![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))))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1008,plain,
% 11.53/7.58 (^[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)))))),
% 11.53/7.58 inference(bind,[status(th)],[])).
% 11.53/7.58 tff(1009,plain,
% 11.53/7.58 (![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))))),
% 11.53/7.58 inference(quant_intro,[status(thm)],[1008])).
% 11.53/7.58 tff(1010,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')).
% 11.53/7.58 tff(1011,plain,
% 11.53/7.58 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 11.53/7.58 tff(1012,plain,
% 11.53/7.58 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1011, 1007])).
% 11.53/7.58 tff(1013,plain,(
% 11.53/7.58 ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 11.53/7.58 inference(skolemize,[status(sab)],[1012])).
% 11.53/7.58 tff(1014,plain,
% 11.53/7.58 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1013, 1006])).
% 11.53/7.58 tff(1015,plain,
% 11.53/7.58 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1014, 1004])).
% 11.53/7.58 tff(1016,plain,
% 11.53/7.58 (((~![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)))))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1017,plain,
% 11.53/7.58 ((v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1))))) <=> (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1018,plain,
% 11.53/7.58 (((~![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)))))),
% 11.53/7.58 inference(monotonicity,[status(thm)],[1017])).
% 11.53/7.58 tff(1019,plain,
% 11.53/7.58 (((~![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)))))),
% 11.53/7.58 inference(transitivity,[status(thm)],[1018, 1016])).
% 11.53/7.58 tff(1020,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(1021,plain,
% 11.53/7.58 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 11.53/7.58 tff(1022,plain,
% 11.53/7.58 (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1021, 1015])).
% 11.53/7.58 tff(1023,plain,
% 11.53/7.58 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1024,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4')).
% 11.53/7.58 tff(1025,plain,
% 11.53/7.58 (nextState(constB4, constB5)),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 11.53/7.58 tff(1026,plain,
% 11.53/7.58 (((~![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))))))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1027,plain,
% 11.53/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(1028,plain,
% 11.53/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 11.53/7.58 tff(1029,plain,
% 11.53/7.58 (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1028, 1025, 596])).
% 11.53/7.58 tff(1030,plain,
% 11.53/7.58 (((~![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))))))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1031,plain,
% 11.53/7.58 (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 11.53/7.58 inference(rewrite,[status(thm)],[])).
% 11.53/7.58 tff(1032,plain,
% 11.53/7.58 (((~![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)))))))),
% 11.53/7.58 inference(monotonicity,[status(thm)],[1031])).
% 11.53/7.58 tff(1033,plain,
% 11.53/7.58 (((~![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))))))),
% 11.53/7.58 inference(transitivity,[status(thm)],[1032, 1030])).
% 11.53/7.58 tff(1034,plain,
% 11.53/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 11.53/7.58 inference(quant_inst,[status(thm)],[])).
% 11.53/7.58 tff(1035,plain,
% 11.53/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 11.53/7.58 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 11.53/7.58 tff(1036,plain,
% 11.53/7.58 (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1035, 1025, 616])).
% 11.53/7.58 tff(1037,plain,
% 11.53/7.58 (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 11.53/7.58 inference(tautology,[status(thm)],[])).
% 11.53/7.58 tff(1038,plain,
% 11.53/7.58 ((~v1(constB5)) | (~v102(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1037, 964])).
% 11.53/7.58 tff(1039,plain,
% 11.53/7.58 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 11.53/7.58 inference(tautology,[status(thm)],[])).
% 11.53/7.58 tff(1040,plain,
% 11.53/7.58 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1039, 1038])).
% 11.53/7.58 tff(1041,plain,
% 11.53/7.58 (~v101(constB5)),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1040, 1036])).
% 11.53/7.58 tff(1042,plain,
% 11.53/7.58 (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 11.53/7.58 inference(tautology,[status(thm)],[])).
% 11.53/7.58 tff(1043,plain,
% 11.53/7.58 ((~v101(constB5)) | (~v110(constB5))),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1042, 1041])).
% 11.53/7.58 tff(1044,plain,
% 11.53/7.58 ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 11.53/7.58 inference(tautology,[status(thm)],[])).
% 11.53/7.58 tff(1045,plain,
% 11.53/7.58 (~v100(constB5)),
% 11.53/7.58 inference(unit_resolution,[status(thm)],[1044, 1043, 1029])).
% 11.53/7.58 tff(1046,plain,
% 11.53/7.58 (((~![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))))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1047,plain,
% 11.53/7.59 ((~![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))))),
% 11.53/7.59 inference(quant_inst,[status(thm)],[])).
% 11.53/7.59 tff(1048,plain,
% 11.53/7.59 ((~![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)))),
% 11.53/7.59 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 11.53/7.59 tff(1049,plain,
% 11.53/7.59 (v100(constB5) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 11.53/7.59 inference(unit_resolution,[status(thm)],[1048, 1025, 645])).
% 11.53/7.59 tff(1050,plain,
% 11.53/7.59 (![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 11.53/7.59 inference(unit_resolution,[status(thm)],[1049, 1045])).
% 11.53/7.59 tff(1051,plain,
% 11.53/7.59 (((~![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)))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1052,plain,
% 11.53/7.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))),
% 11.53/7.59 inference(quant_inst,[status(thm)],[])).
% 11.53/7.59 tff(1053,plain,
% 11.53/7.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2))),
% 11.53/7.59 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 11.53/7.59 tff(1054,plain,
% 11.53/7.59 (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)),
% 11.53/7.59 inference(unit_resolution,[status(thm)],[1053, 579, 1050])).
% 11.53/7.59 tff(1055,plain,
% 11.53/7.59 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1056,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3')).
% 11.53/7.59 tff(1057,plain,
% 11.53/7.59 (nextState(constB3, constB4)),
% 11.53/7.59 inference(modus_ponens,[status(thm)],[1056, 1055])).
% 11.53/7.59 tff(1058,plain,
% 11.53/7.59 (((~![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))))))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1059,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 11.53/7.59 inference(quant_inst,[status(thm)],[])).
% 11.53/7.59 tff(1060,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))),
% 11.53/7.59 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 11.53/7.59 tff(1061,plain,
% 11.53/7.59 (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))),
% 11.53/7.59 inference(unit_resolution,[status(thm)],[1060, 1057, 596])).
% 11.53/7.59 tff(1062,plain,
% 11.53/7.59 (((~![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))))))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1063,plain,
% 11.53/7.59 (((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1064,plain,
% 11.53/7.59 (((~![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)))))))),
% 11.53/7.59 inference(monotonicity,[status(thm)],[1063])).
% 11.53/7.59 tff(1065,plain,
% 11.53/7.59 (((~![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))))))),
% 11.53/7.59 inference(transitivity,[status(thm)],[1064, 1062])).
% 11.53/7.59 tff(1066,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))),
% 11.53/7.59 inference(quant_inst,[status(thm)],[])).
% 11.53/7.59 tff(1067,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))),
% 11.53/7.59 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 11.53/7.59 tff(1068,plain,
% 11.53/7.59 (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))),
% 11.53/7.59 inference(unit_resolution,[status(thm)],[1067, 1057, 616])).
% 11.53/7.59 tff(1069,plain,
% 11.53/7.59 (((~![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)))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1070,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 11.53/7.59 inference(quant_inst,[status(thm)],[])).
% 11.53/7.59 tff(1071,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4))),
% 11.53/7.59 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 11.53/7.59 tff(1072,plain,
% 11.53/7.59 ((~v102(constB4)) <=> v104(constB4)),
% 11.53/7.59 inference(unit_resolution,[status(thm)],[1071, 1057, 678])).
% 11.53/7.59 tff(1073,plain,
% 11.53/7.59 (((~![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)))),
% 11.53/7.59 inference(rewrite,[status(thm)],[])).
% 11.53/7.59 tff(1074,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 11.53/7.59 inference(quant_inst,[status(thm)],[])).
% 11.53/7.59 tff(1075,plain,
% 11.53/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3))),
% 11.59/7.59 inference(modus_ponens,[status(thm)],[1074, 1073])).
% 11.59/7.59 tff(1076,plain,
% 11.59/7.59 (v104(constB4) <=> v1(constB3)),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1075, 1057, 692])).
% 11.59/7.59 tff(1077,plain,
% 11.59/7.59 ((~v1(constB3)) <=> (~v1(constB3))),
% 11.59/7.59 inference(rewrite,[status(thm)],[])).
% 11.59/7.59 tff(1078,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3')).
% 11.59/7.59 tff(1079,plain,
% 11.59/7.59 (~v1(constB3)),
% 11.59/7.59 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 11.59/7.59 tff(1080,plain,
% 11.59/7.59 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4)) | v1(constB3)),
% 11.59/7.59 inference(tautology,[status(thm)],[])).
% 11.59/7.59 tff(1081,plain,
% 11.59/7.59 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1080, 1079])).
% 11.59/7.59 tff(1082,plain,
% 11.59/7.59 (~v104(constB4)),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1081, 1076])).
% 11.59/7.59 tff(1083,plain,
% 11.59/7.59 ((~((~v102(constB4)) <=> v104(constB4))) | v102(constB4) | v104(constB4)),
% 11.59/7.59 inference(tautology,[status(thm)],[])).
% 11.59/7.59 tff(1084,plain,
% 11.59/7.59 (v102(constB4)),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1083, 1082, 1072])).
% 11.59/7.59 tff(1085,plain,
% 11.59/7.59 (v1(constB4) <=> v1(constB4)),
% 11.59/7.59 inference(rewrite,[status(thm)],[])).
% 11.59/7.59 tff(1086,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4')).
% 11.59/7.59 tff(1087,plain,
% 11.59/7.59 (v1(constB4)),
% 11.59/7.59 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 11.59/7.59 tff(1088,plain,
% 11.59/7.59 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v1(constB4)) | (~v102(constB4))),
% 11.59/7.59 inference(tautology,[status(thm)],[])).
% 11.59/7.59 tff(1089,plain,
% 11.59/7.59 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v102(constB4))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1088, 1087])).
% 11.59/7.59 tff(1090,plain,
% 11.59/7.59 (~((~v1(constB4)) | (~v102(constB4)))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1089, 1084])).
% 11.59/7.59 tff(1091,plain,
% 11.59/7.59 ((~(v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))) | v101(constB4) | ((~v1(constB4)) | (~v102(constB4)))),
% 11.59/7.59 inference(tautology,[status(thm)],[])).
% 11.59/7.59 tff(1092,plain,
% 11.59/7.59 (v101(constB4)),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1091, 1090, 1068])).
% 11.59/7.59 tff(1093,plain,
% 11.59/7.59 (((~![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)))),
% 11.59/7.59 inference(rewrite,[status(thm)],[])).
% 11.59/7.59 tff(1094,plain,
% 11.59/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1095,plain,
% 11.59/7.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3))),
% 11.59/7.59 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 11.59/7.59 tff(1096,plain,
% 11.59/7.59 (v110(constB4) <=> v108(constB3)),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1095, 1057, 722])).
% 11.59/7.59 tff(1097,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB3) <=> (v111(constB3) | v112(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1098,plain,
% 11.59/7.59 (v108(constB3) <=> (v111(constB3) | v112(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1097, 733])).
% 11.59/7.59 tff(1099,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1100,plain,
% 11.59/7.59 (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3))))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1099, 745])).
% 11.59/7.59 tff(1101,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB3) <=> (v114(constB3) | v125(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1102,plain,
% 11.59/7.59 (v113(constB3) <=> (v114(constB3) | v125(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1101, 754])).
% 11.59/7.59 tff(1103,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB3) <=> (v115(constB3) | v124(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1104,plain,
% 11.59/7.59 (v114(constB3) <=> (v115(constB3) | v124(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1103, 763])).
% 11.59/7.59 tff(1105,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB3) <=> (v116(constB3) | v123(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1106,plain,
% 11.59/7.59 (v115(constB3) <=> (v116(constB3) | v123(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1105, 772])).
% 11.59/7.59 tff(1107,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB3) <=> (v117(constB3) | v122(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1108,plain,
% 11.59/7.59 (v116(constB3) <=> (v117(constB3) | v122(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1107, 885])).
% 11.59/7.59 tff(1109,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB3) <=> (v118(constB3) | v121(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1110,plain,
% 11.59/7.59 (v117(constB3) <=> (v118(constB3) | v121(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1109, 1000])).
% 11.59/7.59 tff(1111,plain,
% 11.59/7.59 (^[VarCurr: $i] : refl((v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))))),
% 11.59/7.59 inference(bind,[status(th)],[])).
% 11.59/7.59 tff(1112,plain,
% 11.59/7.59 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 11.59/7.59 inference(quant_intro,[status(thm)],[1111])).
% 11.59/7.59 tff(1113,plain,
% 11.59/7.59 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 11.59/7.59 inference(rewrite,[status(thm)],[])).
% 11.59/7.59 tff(1114,axiom,(![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19')).
% 11.59/7.59 tff(1115,plain,
% 11.59/7.59 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 11.59/7.59 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 11.59/7.59 tff(1116,plain,(
% 11.59/7.59 ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 11.59/7.59 inference(skolemize,[status(sab)],[1115])).
% 11.59/7.59 tff(1117,plain,
% 11.59/7.59 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 11.59/7.59 inference(modus_ponens,[status(thm)],[1116, 1112])).
% 11.59/7.59 tff(1118,plain,
% 11.59/7.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB3) <=> (v119(constB3) | v120(constB3)))),
% 11.59/7.59 inference(quant_inst,[status(thm)],[])).
% 11.59/7.59 tff(1119,plain,
% 11.59/7.59 (v118(constB3) <=> (v119(constB3) | v120(constB3))),
% 11.59/7.59 inference(unit_resolution,[status(thm)],[1118, 1117])).
% 11.59/7.59 tff(1120,plain,
% 11.59/7.59 (^[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))))))),
% 11.59/7.59 inference(bind,[status(th)],[])).
% 11.59/7.59 tff(1121,plain,
% 11.59/7.59 (![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)))))),
% 11.59/7.59 inference(quant_intro,[status(thm)],[1120])).
% 11.59/7.59 tff(1122,plain,
% 11.59/7.59 (^[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))))))),
% 11.59/7.59 inference(bind,[status(th)],[])).
% 11.59/7.59 tff(1123,plain,
% 11.59/7.59 (![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)))))),
% 11.59/7.60 inference(quant_intro,[status(thm)],[1122])).
% 11.59/7.60 tff(1124,plain,
% 11.59/7.60 (![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)))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1125,plain,
% 11.59/7.60 (^[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))))),
% 11.59/7.60 inference(bind,[status(th)],[])).
% 11.59/7.60 tff(1126,plain,
% 11.59/7.60 (![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)))),
% 11.59/7.60 inference(quant_intro,[status(thm)],[1125])).
% 11.59/7.60 tff(1127,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')).
% 11.59/7.60 tff(1128,plain,
% 11.59/7.60 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 11.59/7.60 tff(1129,plain,
% 11.59/7.60 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1128, 1124])).
% 11.59/7.60 tff(1130,plain,(
% 11.59/7.60 ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 11.59/7.60 inference(skolemize,[status(sab)],[1129])).
% 11.59/7.60 tff(1131,plain,
% 11.59/7.60 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1130, 1123])).
% 11.59/7.60 tff(1132,plain,
% 11.59/7.60 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1131, 1121])).
% 11.59/7.60 tff(1133,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1134,plain,
% 11.59/7.60 ((v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0))))) <=> (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1135,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(monotonicity,[status(thm)],[1134])).
% 11.59/7.60 tff(1136,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(transitivity,[status(thm)],[1135, 1133])).
% 11.59/7.60 tff(1137,plain,
% 11.59/7.60 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1138,plain,
% 11.59/7.60 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 11.59/7.60 tff(1139,plain,
% 11.59/7.60 (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1138, 1132])).
% 11.59/7.60 tff(1140,plain,
% 11.59/7.60 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1141,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2')).
% 11.59/7.60 tff(1142,plain,
% 11.59/7.60 (nextState(constB2, constB3)),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 11.59/7.60 tff(1143,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1144,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1145,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 11.59/7.60 tff(1146,plain,
% 11.59/7.60 (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1145, 1142, 596])).
% 11.59/7.60 tff(1147,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1148,plain,
% 11.59/7.60 (((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1149,plain,
% 11.59/7.60 (((~![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)))))))),
% 11.59/7.60 inference(monotonicity,[status(thm)],[1148])).
% 11.59/7.60 tff(1150,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(transitivity,[status(thm)],[1149, 1147])).
% 11.59/7.60 tff(1151,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1152,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 11.59/7.60 tff(1153,plain,
% 11.59/7.60 (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1152, 1142, 616])).
% 11.59/7.60 tff(1154,plain,
% 11.59/7.60 (((~v1(constB3)) | (~v102(constB3))) | v1(constB3)),
% 11.59/7.60 inference(tautology,[status(thm)],[])).
% 11.59/7.60 tff(1155,plain,
% 11.59/7.60 ((~v1(constB3)) | (~v102(constB3))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1154, 1079])).
% 11.59/7.60 tff(1156,plain,
% 11.59/7.60 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3)) | (~((~v1(constB3)) | (~v102(constB3))))),
% 11.59/7.60 inference(tautology,[status(thm)],[])).
% 11.59/7.60 tff(1157,plain,
% 11.59/7.60 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1156, 1155])).
% 11.59/7.60 tff(1158,plain,
% 11.59/7.60 (~v101(constB3)),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1157, 1153])).
% 11.59/7.60 tff(1159,plain,
% 11.59/7.60 (((~v101(constB3)) | (~v110(constB3))) | v101(constB3)),
% 11.59/7.60 inference(tautology,[status(thm)],[])).
% 11.59/7.60 tff(1160,plain,
% 11.59/7.60 ((~v101(constB3)) | (~v110(constB3))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1159, 1158])).
% 11.59/7.60 tff(1161,plain,
% 11.59/7.60 ((~(v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))) | (~v100(constB3)) | (~((~v101(constB3)) | (~v110(constB3))))),
% 11.59/7.60 inference(tautology,[status(thm)],[])).
% 11.59/7.60 tff(1162,plain,
% 11.59/7.60 (~v100(constB3)),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1161, 1160, 1146])).
% 11.59/7.60 tff(1163,plain,
% 11.59/7.60 (((~![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))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1164,plain,
% 11.59/7.60 ((~![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))))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1165,plain,
% 11.59/7.60 ((~![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)))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 11.59/7.60 tff(1166,plain,
% 11.59/7.60 (v100(constB3) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1165, 1142, 645])).
% 11.59/7.60 tff(1167,plain,
% 11.59/7.60 (![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1166, 1162])).
% 11.59/7.60 tff(1168,plain,
% 11.59/7.60 (((~![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)))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1169,plain,
% 11.59/7.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1170,plain,
% 11.59/7.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 11.59/7.60 tff(1171,plain,
% 11.59/7.60 (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1170, 579, 1167])).
% 11.59/7.60 tff(1172,plain,
% 11.59/7.60 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1173,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1')).
% 11.59/7.60 tff(1174,plain,
% 11.59/7.60 (nextState(constB1, constB2)),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 11.59/7.60 tff(1175,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1176,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1177,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1176, 1175])).
% 11.59/7.60 tff(1178,plain,
% 11.59/7.60 (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1177, 1174, 596])).
% 11.59/7.60 tff(1179,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1180,plain,
% 11.59/7.60 (((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 11.59/7.60 inference(rewrite,[status(thm)],[])).
% 11.59/7.60 tff(1181,plain,
% 11.59/7.60 (((~![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)))))))),
% 11.59/7.60 inference(monotonicity,[status(thm)],[1180])).
% 11.59/7.60 tff(1182,plain,
% 11.59/7.60 (((~![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))))))),
% 11.59/7.60 inference(transitivity,[status(thm)],[1181, 1179])).
% 11.59/7.60 tff(1183,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))),
% 11.59/7.60 inference(quant_inst,[status(thm)],[])).
% 11.59/7.60 tff(1184,plain,
% 11.59/7.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))),
% 11.59/7.60 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 11.59/7.60 tff(1185,plain,
% 11.59/7.60 (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))),
% 11.59/7.60 inference(unit_resolution,[status(thm)],[1184, 1174, 616])).
% 11.59/7.60 tff(1186,plain,
% 11.59/7.60 (((~![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)))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1187,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1188,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 11.59/7.61 tff(1189,plain,
% 11.59/7.61 ((~v102(constB2)) <=> v104(constB2)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1188, 1174, 678])).
% 11.59/7.61 tff(1190,plain,
% 11.59/7.61 (((~![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)))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1191,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1192,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 11.59/7.61 tff(1193,plain,
% 11.59/7.61 (v104(constB2) <=> v1(constB1)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1192, 1174, 692])).
% 11.59/7.61 tff(1194,plain,
% 11.59/7.61 ((~v1(constB1)) <=> (~v1(constB1))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1195,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1')).
% 11.59/7.61 tff(1196,plain,
% 11.59/7.61 (~v1(constB1)),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 11.59/7.61 tff(1197,plain,
% 11.59/7.61 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2)) | v1(constB1)),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1198,plain,
% 11.59/7.61 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1197, 1196])).
% 11.59/7.61 tff(1199,plain,
% 11.59/7.61 (~v104(constB2)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1198, 1193])).
% 11.59/7.61 tff(1200,plain,
% 11.59/7.61 ((~((~v102(constB2)) <=> v104(constB2))) | v102(constB2) | v104(constB2)),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1201,plain,
% 11.59/7.61 (v102(constB2)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1200, 1199, 1189])).
% 11.59/7.61 tff(1202,plain,
% 11.59/7.61 (v1(constB2) <=> v1(constB2)),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1203,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2')).
% 11.59/7.61 tff(1204,plain,
% 11.59/7.61 (v1(constB2)),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 11.59/7.61 tff(1205,plain,
% 11.59/7.61 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v1(constB2)) | (~v102(constB2))),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1206,plain,
% 11.59/7.61 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v102(constB2))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1205, 1204])).
% 11.59/7.61 tff(1207,plain,
% 11.59/7.61 (~((~v1(constB2)) | (~v102(constB2)))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1206, 1201])).
% 11.59/7.61 tff(1208,plain,
% 11.59/7.61 ((~(v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))) | v101(constB2) | ((~v1(constB2)) | (~v102(constB2)))),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1209,plain,
% 11.59/7.61 (v101(constB2)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1208, 1207, 1185])).
% 11.59/7.61 tff(1210,plain,
% 11.59/7.61 (((~![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)))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1211,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1212,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 11.59/7.61 tff(1213,plain,
% 11.59/7.61 (v110(constB2) <=> v108(constB1)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1212, 1174, 722])).
% 11.59/7.61 tff(1214,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB1) <=> (v111(constB1) | v112(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1215,plain,
% 11.59/7.61 (v108(constB1) <=> (v111(constB1) | v112(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1214, 733])).
% 11.59/7.61 tff(1216,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1217,plain,
% 11.59/7.61 (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1))))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1216, 745])).
% 11.59/7.61 tff(1218,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB1) <=> (v114(constB1) | v125(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1219,plain,
% 11.59/7.61 (v113(constB1) <=> (v114(constB1) | v125(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1218, 754])).
% 11.59/7.61 tff(1220,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB1) <=> (v115(constB1) | v124(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1221,plain,
% 11.59/7.61 (v114(constB1) <=> (v115(constB1) | v124(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1220, 763])).
% 11.59/7.61 tff(1222,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB1) <=> (v116(constB1) | v123(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1223,plain,
% 11.59/7.61 (v115(constB1) <=> (v116(constB1) | v123(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1222, 772])).
% 11.59/7.61 tff(1224,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB1) <=> (v117(constB1) | v122(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1225,plain,
% 11.59/7.61 (v116(constB1) <=> (v117(constB1) | v122(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1224, 885])).
% 11.59/7.61 tff(1226,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB1) <=> (v118(constB1) | v121(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1227,plain,
% 11.59/7.61 (v117(constB1) <=> (v118(constB1) | v121(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1226, 1000])).
% 11.59/7.61 tff(1228,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB1) <=> (v119(constB1) | v120(constB1)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1229,plain,
% 11.59/7.61 (v118(constB1) <=> (v119(constB1) | v120(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1228, 1117])).
% 11.59/7.61 tff(1230,plain,
% 11.59/7.61 (^[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)))))),
% 11.59/7.61 inference(bind,[status(th)],[])).
% 11.59/7.61 tff(1231,plain,
% 11.59/7.61 (![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))))),
% 11.59/7.61 inference(quant_intro,[status(thm)],[1230])).
% 11.59/7.61 tff(1232,plain,
% 11.59/7.61 (^[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)))))),
% 11.59/7.61 inference(bind,[status(th)],[])).
% 11.59/7.61 tff(1233,plain,
% 11.59/7.61 (![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))))),
% 11.59/7.61 inference(quant_intro,[status(thm)],[1232])).
% 11.59/7.61 tff(1234,plain,
% 11.59/7.61 (![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))))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1235,plain,
% 11.59/7.61 (^[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)))))),
% 11.59/7.61 inference(bind,[status(th)],[])).
% 11.59/7.61 tff(1236,plain,
% 11.59/7.61 (![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))))),
% 11.59/7.61 inference(quant_intro,[status(thm)],[1235])).
% 11.59/7.61 tff(1237,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')).
% 11.59/7.61 tff(1238,plain,
% 11.59/7.61 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 11.59/7.61 tff(1239,plain,
% 11.59/7.61 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1238, 1234])).
% 11.59/7.61 tff(1240,plain,(
% 11.59/7.61 ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 11.59/7.61 inference(skolemize,[status(sab)],[1239])).
% 11.59/7.61 tff(1241,plain,
% 11.59/7.61 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1240, 1233])).
% 11.59/7.61 tff(1242,plain,
% 11.59/7.61 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1241, 1231])).
% 11.59/7.61 tff(1243,plain,
% 11.59/7.61 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1244,plain,
% 11.59/7.61 (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1243, 1242])).
% 11.59/7.61 tff(1245,plain,
% 11.59/7.61 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1246,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom')).
% 11.59/7.61 tff(1247,plain,
% 11.59/7.61 (nextState(constB0, constB1)),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 11.59/7.61 tff(1248,plain,
% 11.59/7.61 (((~![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))))))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1249,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1250,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 11.59/7.61 tff(1251,plain,
% 11.59/7.61 (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1250, 1247, 596])).
% 11.59/7.61 tff(1252,plain,
% 11.59/7.61 (((~![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))))))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1253,plain,
% 11.59/7.61 (((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1254,plain,
% 11.59/7.61 (((~![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)))))))),
% 11.59/7.61 inference(monotonicity,[status(thm)],[1253])).
% 11.59/7.61 tff(1255,plain,
% 11.59/7.61 (((~![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))))))),
% 11.59/7.61 inference(transitivity,[status(thm)],[1254, 1252])).
% 11.59/7.61 tff(1256,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1257,plain,
% 11.59/7.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 11.59/7.61 tff(1258,plain,
% 11.59/7.61 (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1257, 1247, 616])).
% 11.59/7.61 tff(1259,plain,
% 11.59/7.61 (((~v1(constB1)) | (~v102(constB1))) | v1(constB1)),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1260,plain,
% 11.59/7.61 ((~v1(constB1)) | (~v102(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1259, 1196])).
% 11.59/7.61 tff(1261,plain,
% 11.59/7.61 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1)) | (~((~v1(constB1)) | (~v102(constB1))))),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1262,plain,
% 11.59/7.61 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1261, 1260])).
% 11.59/7.61 tff(1263,plain,
% 11.59/7.61 (~v101(constB1)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1262, 1258])).
% 11.59/7.61 tff(1264,plain,
% 11.59/7.61 (((~v101(constB1)) | (~v110(constB1))) | v101(constB1)),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1265,plain,
% 11.59/7.61 ((~v101(constB1)) | (~v110(constB1))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1264, 1263])).
% 11.59/7.61 tff(1266,plain,
% 11.59/7.61 ((~(v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))) | (~v100(constB1)) | (~((~v101(constB1)) | (~v110(constB1))))),
% 11.59/7.61 inference(tautology,[status(thm)],[])).
% 11.59/7.61 tff(1267,plain,
% 11.59/7.61 (~v100(constB1)),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1266, 1265, 1251])).
% 11.59/7.61 tff(1268,plain,
% 11.59/7.61 (((~![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))))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1269,plain,
% 11.59/7.61 ((~![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))))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1270,plain,
% 11.59/7.61 ((~![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)))),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 11.59/7.61 tff(1271,plain,
% 11.59/7.61 (v100(constB1) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1270, 1247, 645])).
% 11.59/7.61 tff(1272,plain,
% 11.59/7.61 (![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 11.59/7.61 inference(unit_resolution,[status(thm)],[1271, 1267])).
% 11.59/7.61 tff(1273,plain,
% 11.59/7.61 (less_3(bitIndex0) <=> less_3(bitIndex0)),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1274,axiom,(less_3(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_3')).
% 11.59/7.61 tff(1275,plain,
% 11.59/7.61 (less_3(bitIndex0)),
% 11.59/7.61 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 11.59/7.61 tff(1276,plain,
% 11.59/7.61 (((~![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)))),
% 11.59/7.61 inference(rewrite,[status(thm)],[])).
% 11.59/7.61 tff(1277,plain,
% 11.59/7.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))),
% 11.59/7.61 inference(quant_inst,[status(thm)],[])).
% 11.59/7.61 tff(1278,plain,
% 11.59/7.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 11.59/7.62 tff(1279,plain,
% 11.59/7.62 (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1278, 1275, 1272])).
% 11.59/7.62 tff(1280,plain,
% 11.59/7.62 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1281,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 11.59/7.62 tff(1282,plain,
% 11.59/7.62 (~v90(constB0, bitIndex0)),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 11.59/7.62 tff(1283,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))) | (~v90(constB1, bitIndex0)) | v90(constB0, bitIndex0)),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1284,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))) | (~v90(constB1, bitIndex0))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1283, 1282])).
% 11.59/7.62 tff(1285,plain,
% 11.59/7.62 (~v90(constB1, bitIndex0)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1284, 1279])).
% 11.59/7.62 tff(1286,plain,
% 11.59/7.62 (less_3(bitIndex1) <=> less_3(bitIndex1)),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1287,axiom,(less_3(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_4')).
% 11.59/7.62 tff(1288,plain,
% 11.59/7.62 (less_3(bitIndex1)),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 11.59/7.62 tff(1289,plain,
% 11.59/7.62 (((~![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)))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1290,plain,
% 11.59/7.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))),
% 11.59/7.62 inference(quant_inst,[status(thm)],[])).
% 11.59/7.62 tff(1291,plain,
% 11.59/7.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 11.59/7.62 tff(1292,plain,
% 11.59/7.62 (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1291, 1288, 1272])).
% 11.59/7.62 tff(1293,plain,
% 11.59/7.62 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1294,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 11.59/7.62 tff(1295,plain,
% 11.59/7.62 (~v90(constB0, bitIndex1)),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1294, 1293])).
% 11.59/7.62 tff(1296,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))) | (~v90(constB1, bitIndex1)) | v90(constB0, bitIndex1)),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1297,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))) | (~v90(constB1, bitIndex1))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1296, 1295])).
% 11.59/7.62 tff(1298,plain,
% 11.59/7.62 (~v90(constB1, bitIndex1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1297, 1292])).
% 11.59/7.62 tff(1299,plain,
% 11.59/7.62 (((~![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)))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1300,plain,
% 11.59/7.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))),
% 11.59/7.62 inference(quant_inst,[status(thm)],[])).
% 11.59/7.62 tff(1301,plain,
% 11.59/7.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 11.59/7.62 tff(1302,plain,
% 11.59/7.62 (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1301, 579, 1272])).
% 11.59/7.62 tff(1303,plain,
% 11.59/7.62 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1304,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 11.59/7.62 tff(1305,plain,
% 11.59/7.62 (~v90(constB0, bitIndex2)),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 11.59/7.62 tff(1306,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))) | (~v90(constB1, bitIndex2)) | v90(constB0, bitIndex2)),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1307,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))) | (~v90(constB1, bitIndex2))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1306, 1305])).
% 11.59/7.62 tff(1308,plain,
% 11.59/7.62 (~v90(constB1, bitIndex2)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1307, 1302])).
% 11.59/7.62 tff(1309,plain,
% 11.59/7.62 ((~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1310,plain,
% 11.59/7.62 (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1309, 1308, 1298, 1285])).
% 11.59/7.62 tff(1311,plain,
% 11.59/7.62 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1312,plain,
% 11.59/7.62 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1311, 1310])).
% 11.59/7.62 tff(1313,plain,
% 11.59/7.62 (v119(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1312, 1244])).
% 11.59/7.62 tff(1314,plain,
% 11.59/7.62 ((v119(constB1) | v120(constB1)) | (~v119(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1315,plain,
% 11.59/7.62 (v119(constB1) | v120(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1314, 1313])).
% 11.59/7.62 tff(1316,plain,
% 11.59/7.62 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1) | (~(v119(constB1) | v120(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1317,plain,
% 11.59/7.62 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1316, 1315])).
% 11.59/7.62 tff(1318,plain,
% 11.59/7.62 (v118(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1317, 1229])).
% 11.59/7.62 tff(1319,plain,
% 11.59/7.62 ((v118(constB1) | v121(constB1)) | (~v118(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1320,plain,
% 11.59/7.62 (v118(constB1) | v121(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1319, 1318])).
% 11.59/7.62 tff(1321,plain,
% 11.59/7.62 ((~(v117(constB1) <=> (v118(constB1) | v121(constB1)))) | v117(constB1) | (~(v118(constB1) | v121(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1322,plain,
% 11.59/7.62 (v117(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1321, 1320, 1227])).
% 11.59/7.62 tff(1323,plain,
% 11.59/7.62 ((v117(constB1) | v122(constB1)) | (~v117(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1324,plain,
% 11.59/7.62 (v117(constB1) | v122(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1323, 1322])).
% 11.59/7.62 tff(1325,plain,
% 11.59/7.62 ((~(v116(constB1) <=> (v117(constB1) | v122(constB1)))) | v116(constB1) | (~(v117(constB1) | v122(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1326,plain,
% 11.59/7.62 (v116(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1325, 1324, 1225])).
% 11.59/7.62 tff(1327,plain,
% 11.59/7.62 ((v116(constB1) | v123(constB1)) | (~v116(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1328,plain,
% 11.59/7.62 (v116(constB1) | v123(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1327, 1326])).
% 11.59/7.62 tff(1329,plain,
% 11.59/7.62 ((~(v115(constB1) <=> (v116(constB1) | v123(constB1)))) | v115(constB1) | (~(v116(constB1) | v123(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1330,plain,
% 11.59/7.62 (v115(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1329, 1328, 1223])).
% 11.59/7.62 tff(1331,plain,
% 11.59/7.62 ((v115(constB1) | v124(constB1)) | (~v115(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1332,plain,
% 11.59/7.62 (v115(constB1) | v124(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1331, 1330])).
% 11.59/7.62 tff(1333,plain,
% 11.59/7.62 ((~(v114(constB1) <=> (v115(constB1) | v124(constB1)))) | v114(constB1) | (~(v115(constB1) | v124(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1334,plain,
% 11.59/7.62 (v114(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1333, 1332, 1221])).
% 11.59/7.62 tff(1335,plain,
% 11.59/7.62 ((v114(constB1) | v125(constB1)) | (~v114(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1336,plain,
% 11.59/7.62 (v114(constB1) | v125(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1335, 1334])).
% 11.59/7.62 tff(1337,plain,
% 11.59/7.62 ((~(v113(constB1) <=> (v114(constB1) | v125(constB1)))) | v113(constB1) | (~(v114(constB1) | v125(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1338,plain,
% 11.59/7.62 (v113(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1337, 1336, 1219])).
% 11.59/7.62 tff(1339,plain,
% 11.59/7.62 (^[VarCurr: $i] : refl(((~v126(VarCurr)) <=> v111(VarCurr)) <=> ((~v126(VarCurr)) <=> v111(VarCurr)))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1340,plain,
% 11.59/7.62 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1339])).
% 11.59/7.62 tff(1341,plain,
% 11.59/7.62 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1342,axiom,(![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 11.59/7.62 tff(1343,plain,
% 11.59/7.62 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 11.59/7.62 tff(1344,plain,(
% 11.59/7.62 ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 11.59/7.62 inference(skolemize,[status(sab)],[1343])).
% 11.59/7.62 tff(1345,plain,
% 11.59/7.62 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1344, 1340])).
% 11.59/7.62 tff(1346,plain,
% 11.59/7.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB1)) <=> v111(constB1))),
% 11.59/7.62 inference(quant_inst,[status(thm)],[])).
% 11.59/7.62 tff(1347,plain,
% 11.59/7.62 ((~v126(constB1)) <=> v111(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1346, 1345])).
% 11.59/7.62 tff(1348,plain,
% 11.59/7.62 (^[VarCurr: $i] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1349,plain,
% 11.59/7.62 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1348])).
% 11.59/7.62 tff(1350,plain,
% 11.59/7.62 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1351,plain,
% 11.59/7.62 (^[VarCurr: $i] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1352,plain,
% 11.59/7.62 (![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1351])).
% 11.59/7.62 tff(1353,axiom,(![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 11.59/7.62 tff(1354,plain,
% 11.59/7.62 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 11.59/7.62 tff(1355,plain,
% 11.59/7.62 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1354, 1350])).
% 11.59/7.62 tff(1356,plain,(
% 11.59/7.62 ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(skolemize,[status(sab)],[1355])).
% 11.59/7.62 tff(1357,plain,
% 11.59/7.62 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1356, 1349])).
% 11.59/7.62 tff(1358,plain,
% 11.59/7.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB1) <=> v26(constB1))),
% 11.59/7.62 inference(quant_inst,[status(thm)],[])).
% 11.59/7.62 tff(1359,plain,
% 11.59/7.62 (v111(constB1) <=> v26(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1358, 1357])).
% 11.59/7.62 tff(1360,plain,
% 11.59/7.62 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1361,plain,
% 11.59/7.62 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1360])).
% 11.59/7.62 tff(1362,plain,
% 11.59/7.62 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1363,plain,
% 11.59/7.62 (^[VarCurr: $i] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1364,plain,
% 11.59/7.62 (![VarCurr: $i] : (v26(VarCurr) <=> $false) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1363])).
% 11.59/7.62 tff(1365,axiom,(![VarCurr: $i] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1')).
% 11.59/7.62 tff(1366,plain,
% 11.59/7.62 (![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 11.59/7.62 tff(1367,plain,
% 11.59/7.62 (![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1366, 1362])).
% 11.59/7.62 tff(1368,plain,(
% 11.59/7.62 ![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(skolemize,[status(sab)],[1367])).
% 11.59/7.62 tff(1369,plain,
% 11.59/7.62 (![VarCurr: $i] : (~v26(VarCurr))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1368, 1361])).
% 11.59/7.62 tff(1370,plain,
% 11.59/7.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 11.59/7.62 inference(quant_inst,[status(thm)],[])).
% 11.59/7.62 tff(1371,plain,
% 11.59/7.62 (~v26(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1370, 1369])).
% 11.59/7.62 tff(1372,plain,
% 11.59/7.62 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1)) | v26(constB1)),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1373,plain,
% 11.59/7.62 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1372, 1371])).
% 11.59/7.62 tff(1374,plain,
% 11.59/7.62 (~v111(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1373, 1359])).
% 11.59/7.62 tff(1375,plain,
% 11.59/7.62 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1) | v111(constB1)),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1376,plain,
% 11.59/7.62 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1375, 1374])).
% 11.59/7.62 tff(1377,plain,
% 11.59/7.62 (v126(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1376, 1347])).
% 11.59/7.62 tff(1378,plain,
% 11.59/7.62 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1)) | (~v126(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1379,plain,
% 11.59/7.62 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1378, 1377])).
% 11.59/7.62 tff(1380,plain,
% 11.59/7.62 (~((~v113(constB1)) | (~v126(constB1)))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1379, 1338])).
% 11.59/7.62 tff(1381,plain,
% 11.59/7.62 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1) | ((~v113(constB1)) | (~v126(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1382,plain,
% 11.59/7.62 (v112(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1381, 1380, 1217])).
% 11.59/7.62 tff(1383,plain,
% 11.59/7.62 ((v111(constB1) | v112(constB1)) | (~v112(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1384,plain,
% 11.59/7.62 (v111(constB1) | v112(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1383, 1382])).
% 11.59/7.62 tff(1385,plain,
% 11.59/7.62 ((~(v108(constB1) <=> (v111(constB1) | v112(constB1)))) | v108(constB1) | (~(v111(constB1) | v112(constB1)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1386,plain,
% 11.59/7.62 (v108(constB1)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1385, 1384, 1215])).
% 11.59/7.62 tff(1387,plain,
% 11.59/7.62 ((~(v110(constB2) <=> v108(constB1))) | v110(constB2) | (~v108(constB1))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1388,plain,
% 11.59/7.62 (v110(constB2)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1387, 1386, 1213])).
% 11.59/7.62 tff(1389,plain,
% 11.59/7.62 ((~((~v101(constB2)) | (~v110(constB2)))) | (~v101(constB2)) | (~v110(constB2))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1390,plain,
% 11.59/7.62 (~((~v101(constB2)) | (~v110(constB2)))),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1389, 1388, 1209])).
% 11.59/7.62 tff(1391,plain,
% 11.59/7.62 ((~(v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))) | v100(constB2) | ((~v101(constB2)) | (~v110(constB2)))),
% 11.59/7.62 inference(tautology,[status(thm)],[])).
% 11.59/7.62 tff(1392,plain,
% 11.59/7.62 (v100(constB2)),
% 11.59/7.62 inference(unit_resolution,[status(thm)],[1391, 1390, 1178])).
% 11.59/7.62 tff(1393,plain,
% 11.59/7.62 (^[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)))))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1394,plain,
% 11.59/7.62 (![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))))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1393])).
% 11.59/7.62 tff(1395,plain,
% 11.59/7.62 (^[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)))))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1396,plain,
% 11.59/7.62 (![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))))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1395])).
% 11.59/7.62 tff(1397,plain,
% 11.59/7.62 (![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))))),
% 11.59/7.62 inference(transitivity,[status(thm)],[1396, 1394])).
% 11.59/7.62 tff(1398,plain,
% 11.59/7.62 (![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))))),
% 11.59/7.62 inference(rewrite,[status(thm)],[])).
% 11.59/7.62 tff(1399,plain,
% 11.59/7.62 (^[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))))))),
% 11.59/7.62 inference(bind,[status(th)],[])).
% 11.59/7.62 tff(1400,plain,
% 11.59/7.62 (![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))))),
% 11.59/7.62 inference(quant_intro,[status(thm)],[1399])).
% 11.59/7.62 tff(1401,axiom,(![VarNext: $i] : (v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 11.59/7.62 tff(1402,plain,
% 11.59/7.62 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 11.59/7.62 tff(1403,plain,
% 11.59/7.62 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1402, 1398])).
% 11.59/7.62 tff(1404,plain,(
% 11.59/7.62 ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 11.59/7.62 inference(skolemize,[status(sab)],[1403])).
% 11.59/7.62 tff(1405,plain,
% 11.59/7.62 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 11.59/7.62 inference(modus_ponens,[status(thm)],[1404, 1397])).
% 11.59/7.62 tff(1406,plain,
% 11.59/7.62 (((~![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1407,plain,
% 11.59/7.63 ((~![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))))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1408,plain,
% 11.59/7.63 ((~![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)))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 11.59/7.63 tff(1409,plain,
% 11.59/7.63 ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1408, 1405])).
% 11.59/7.63 tff(1410,plain,
% 11.59/7.63 (![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1409, 1392])).
% 11.59/7.63 tff(1411,plain,
% 11.59/7.63 (((~![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)))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1412,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1413,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 11.59/7.63 tff(1414,plain,
% 11.59/7.63 (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1413, 579, 1410])).
% 11.59/7.63 tff(1415,plain,
% 11.59/7.63 (^[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)))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1416,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1415])).
% 11.59/7.63 tff(1417,plain,
% 11.59/7.63 (^[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)))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1418,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1417])).
% 11.59/7.63 tff(1419,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(transitivity,[status(thm)],[1418, 1416])).
% 11.59/7.63 tff(1420,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1421,plain,
% 11.59/7.63 (^[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))))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1422,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1421])).
% 11.59/7.63 tff(1423,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')).
% 11.59/7.63 tff(1424,plain,
% 11.59/7.63 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 11.59/7.63 tff(1425,plain,
% 11.59/7.63 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1424, 1420])).
% 11.59/7.63 tff(1426,plain,(
% 11.59/7.63 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 11.59/7.63 inference(skolemize,[status(sab)],[1425])).
% 11.59/7.63 tff(1427,plain,
% 11.59/7.63 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1426, 1419])).
% 11.59/7.63 tff(1428,plain,
% 11.59/7.63 (((~![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1429,plain,
% 11.59/7.63 ((~![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))))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1430,plain,
% 11.59/7.63 ((~![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)))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 11.59/7.63 tff(1431,plain,
% 11.59/7.63 (![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1430, 1174, 1427])).
% 11.59/7.63 tff(1432,plain,
% 11.59/7.63 (((~![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)))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1433,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1434,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 11.59/7.63 tff(1435,plain,
% 11.59/7.63 (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1434, 579, 1431])).
% 11.59/7.63 tff(1436,plain,
% 11.59/7.63 (^[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)))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1437,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1436])).
% 11.59/7.63 tff(1438,plain,
% 11.59/7.63 (^[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)))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1439,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1438])).
% 11.59/7.63 tff(1440,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(transitivity,[status(thm)],[1439, 1437])).
% 11.59/7.63 tff(1441,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1442,plain,
% 11.59/7.63 (^[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))))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1443,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1442])).
% 11.59/7.63 tff(1444,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')).
% 11.59/7.63 tff(1445,plain,
% 11.59/7.63 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 11.59/7.63 tff(1446,plain,
% 11.59/7.63 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1445, 1441])).
% 11.59/7.63 tff(1447,plain,(
% 11.59/7.63 ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 11.59/7.63 inference(skolemize,[status(sab)],[1446])).
% 11.59/7.63 tff(1448,plain,
% 11.59/7.63 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1447, 1440])).
% 11.59/7.63 tff(1449,plain,
% 11.59/7.63 (((~![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1450,plain,
% 11.59/7.63 ((~![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))))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1451,plain,
% 11.59/7.63 ((~![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)))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 11.59/7.63 tff(1452,plain,
% 11.59/7.63 (![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1451, 1448, 1374])).
% 11.59/7.63 tff(1453,plain,
% 11.59/7.63 (((~![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)))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1454,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1455,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 11.59/7.63 tff(1456,plain,
% 11.59/7.63 (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1455, 579, 1452])).
% 11.59/7.63 tff(1457,plain,
% 11.59/7.63 (^[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)))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1458,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1457])).
% 11.59/7.63 tff(1459,plain,
% 11.59/7.63 (^[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)))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1460,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1459])).
% 11.59/7.63 tff(1461,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(transitivity,[status(thm)],[1460, 1458])).
% 11.59/7.63 tff(1462,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1463,plain,
% 11.59/7.63 (^[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))))))),
% 11.59/7.63 inference(bind,[status(th)],[])).
% 11.59/7.63 tff(1464,plain,
% 11.59/7.63 (![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))))),
% 11.59/7.63 inference(quant_intro,[status(thm)],[1463])).
% 11.59/7.63 tff(1465,axiom,(![VarCurr: $i] : (v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 11.59/7.63 tff(1466,plain,
% 11.59/7.63 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 11.59/7.63 tff(1467,plain,
% 11.59/7.63 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1466, 1462])).
% 11.59/7.63 tff(1468,plain,(
% 11.59/7.63 ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 11.59/7.63 inference(skolemize,[status(sab)],[1467])).
% 11.59/7.63 tff(1469,plain,
% 11.59/7.63 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1468, 1461])).
% 11.59/7.63 tff(1470,plain,
% 11.59/7.63 (((~![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))))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1471,plain,
% 11.59/7.63 ((~![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))))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1472,plain,
% 11.59/7.63 ((~![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)))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 11.59/7.63 tff(1473,plain,
% 11.59/7.63 (![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1472, 1469, 1313])).
% 11.59/7.63 tff(1474,plain,
% 11.59/7.63 (((~![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)))),
% 11.59/7.63 inference(rewrite,[status(thm)],[])).
% 11.59/7.63 tff(1475,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b001(bitIndex2)))),
% 11.59/7.63 inference(quant_inst,[status(thm)],[])).
% 11.59/7.63 tff(1476,plain,
% 11.59/7.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b001(bitIndex2))),
% 11.59/7.63 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 11.59/7.63 tff(1477,plain,
% 11.59/7.63 (v130(constB1, bitIndex2) <=> b001(bitIndex2)),
% 11.59/7.63 inference(unit_resolution,[status(thm)],[1476, 579, 1473])).
% 11.59/7.64 tff(1478,plain,
% 11.59/7.64 ((~b001(bitIndex2)) <=> (~b001(bitIndex2))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1479,axiom,(~b001(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_5')).
% 11.59/7.64 tff(1480,plain,
% 11.59/7.64 (~b001(bitIndex2)),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 11.59/7.64 tff(1481,plain,
% 11.59/7.64 ((~(v130(constB1, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB1, bitIndex2)) | b001(bitIndex2)),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1482,plain,
% 11.59/7.64 ((~(v130(constB1, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB1, bitIndex2))),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1481, 1480])).
% 11.59/7.64 tff(1483,plain,
% 11.59/7.64 (~v130(constB1, bitIndex2)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1482, 1477])).
% 11.59/7.64 tff(1484,plain,
% 11.59/7.64 ((~(v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2))) | (~v127(constB1, bitIndex2)) | v130(constB1, bitIndex2)),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1485,plain,
% 11.59/7.64 (~v127(constB1, bitIndex2)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1484, 1483, 1456])).
% 11.59/7.64 tff(1486,plain,
% 11.59/7.64 ((~(v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2))) | (~v129(constB2, bitIndex2)) | v127(constB1, bitIndex2)),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1487,plain,
% 11.59/7.64 (~v129(constB2, bitIndex2)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1486, 1485, 1435])).
% 11.59/7.64 tff(1488,plain,
% 11.59/7.64 ((~(v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2)),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1489,plain,
% 11.59/7.64 (~v90(constB2, bitIndex2)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1488, 1487, 1414])).
% 11.59/7.64 tff(1490,plain,
% 11.59/7.64 ((~(v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2))) | (~v90(constB3, bitIndex2)) | v90(constB2, bitIndex2)),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1491,plain,
% 11.59/7.64 (~v90(constB3, bitIndex2)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1490, 1489, 1171])).
% 11.59/7.64 tff(1492,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1493,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1494,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 11.59/7.64 tff(1495,plain,
% 11.59/7.64 (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1494, 1275, 1167])).
% 11.59/7.64 tff(1496,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1497,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1498,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 11.59/7.64 tff(1499,plain,
% 11.59/7.64 (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1498, 1275, 1410])).
% 11.59/7.64 tff(1500,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1501,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1502,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 11.59/7.64 tff(1503,plain,
% 11.59/7.64 (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1502, 1275, 1431])).
% 11.59/7.64 tff(1504,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1505,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1506,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 11.59/7.64 tff(1507,plain,
% 11.59/7.64 (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1506, 1275, 1452])).
% 11.59/7.64 tff(1508,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1509,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b001(bitIndex0)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1510,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b001(bitIndex0))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 11.59/7.64 tff(1511,plain,
% 11.59/7.64 (v130(constB1, bitIndex0) <=> b001(bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1510, 1275, 1473])).
% 11.59/7.64 tff(1512,plain,
% 11.59/7.64 (b001(bitIndex0) <=> b001(bitIndex0)),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1513,axiom,(b001(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_3')).
% 11.59/7.64 tff(1514,plain,
% 11.59/7.64 (b001(bitIndex0)),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 11.59/7.64 tff(1515,plain,
% 11.59/7.64 ((~(v130(constB1, bitIndex0) <=> b001(bitIndex0))) | v130(constB1, bitIndex0) | (~b001(bitIndex0))),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1516,plain,
% 11.59/7.64 ((~(v130(constB1, bitIndex0) <=> b001(bitIndex0))) | v130(constB1, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1515, 1514])).
% 11.59/7.64 tff(1517,plain,
% 11.59/7.64 (v130(constB1, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1516, 1511])).
% 11.59/7.64 tff(1518,plain,
% 11.59/7.64 ((~(v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0))) | v127(constB1, bitIndex0) | (~v130(constB1, bitIndex0))),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1519,plain,
% 11.59/7.64 (v127(constB1, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1518, 1517, 1507])).
% 11.59/7.64 tff(1520,plain,
% 11.59/7.64 ((~(v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0))) | v129(constB2, bitIndex0) | (~v127(constB1, bitIndex0))),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1521,plain,
% 11.59/7.64 (v129(constB2, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1520, 1519, 1503])).
% 11.59/7.64 tff(1522,plain,
% 11.59/7.64 ((~(v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0))),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1523,plain,
% 11.59/7.64 (v90(constB2, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1522, 1521, 1499])).
% 11.59/7.64 tff(1524,plain,
% 11.59/7.64 ((~(v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0))) | v90(constB3, bitIndex0) | (~v90(constB2, bitIndex0))),
% 11.59/7.64 inference(tautology,[status(thm)],[])).
% 11.59/7.64 tff(1525,plain,
% 11.59/7.64 (v90(constB3, bitIndex0)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1524, 1523, 1495])).
% 11.59/7.64 tff(1526,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1527,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1528,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 11.59/7.64 tff(1529,plain,
% 11.59/7.64 (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1528, 1288, 1167])).
% 11.59/7.64 tff(1530,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1531,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1532,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 11.59/7.64 tff(1533,plain,
% 11.59/7.64 (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1532, 1288, 1410])).
% 11.59/7.64 tff(1534,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1535,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1536,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1))),
% 11.59/7.64 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 11.59/7.64 tff(1537,plain,
% 11.59/7.64 (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)),
% 11.59/7.64 inference(unit_resolution,[status(thm)],[1536, 1288, 1431])).
% 11.59/7.64 tff(1538,plain,
% 11.59/7.64 (((~![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)))),
% 11.59/7.64 inference(rewrite,[status(thm)],[])).
% 11.59/7.64 tff(1539,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))),
% 11.59/7.64 inference(quant_inst,[status(thm)],[])).
% 11.59/7.64 tff(1540,plain,
% 11.59/7.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 11.59/7.65 tff(1541,plain,
% 11.59/7.65 (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1540, 1288, 1452])).
% 11.59/7.65 tff(1542,plain,
% 11.59/7.65 (((~![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)))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1543,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b001(bitIndex1)))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1544,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b001(bitIndex1))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 11.59/7.65 tff(1545,plain,
% 11.59/7.65 (v130(constB1, bitIndex1) <=> b001(bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1544, 1288, 1473])).
% 11.59/7.65 tff(1546,plain,
% 11.59/7.65 ((~b001(bitIndex1)) <=> (~b001(bitIndex1))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1547,axiom,(~b001(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_4')).
% 11.59/7.65 tff(1548,plain,
% 11.59/7.65 (~b001(bitIndex1)),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 11.59/7.65 tff(1549,plain,
% 11.59/7.65 ((~(v130(constB1, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB1, bitIndex1)) | b001(bitIndex1)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1550,plain,
% 11.59/7.65 ((~(v130(constB1, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB1, bitIndex1))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1549, 1548])).
% 11.59/7.65 tff(1551,plain,
% 11.59/7.65 (~v130(constB1, bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1550, 1545])).
% 11.59/7.65 tff(1552,plain,
% 11.59/7.65 ((~(v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1))) | (~v127(constB1, bitIndex1)) | v130(constB1, bitIndex1)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1553,plain,
% 11.59/7.65 (~v127(constB1, bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1552, 1551, 1541])).
% 11.59/7.65 tff(1554,plain,
% 11.59/7.65 ((~(v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1))) | (~v129(constB2, bitIndex1)) | v127(constB1, bitIndex1)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1555,plain,
% 11.59/7.65 (~v129(constB2, bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1554, 1553, 1537])).
% 11.59/7.65 tff(1556,plain,
% 11.59/7.65 ((~(v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1557,plain,
% 11.59/7.65 (~v90(constB2, bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1556, 1555, 1533])).
% 11.59/7.65 tff(1558,plain,
% 11.59/7.65 ((~(v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1))) | (~v90(constB3, bitIndex1)) | v90(constB2, bitIndex1)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1559,plain,
% 11.59/7.65 (~v90(constB3, bitIndex1)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1558, 1557, 1529])).
% 11.59/7.65 tff(1560,plain,
% 11.59/7.65 ((~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))) | v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1561,plain,
% 11.59/7.65 (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1560, 1559, 1525, 1491])).
% 11.59/7.65 tff(1562,plain,
% 11.59/7.65 ((~(v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))) | v120(constB3) | (v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1563,plain,
% 11.59/7.65 (v120(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1562, 1561, 1139])).
% 11.59/7.65 tff(1564,plain,
% 11.59/7.65 ((v119(constB3) | v120(constB3)) | (~v120(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1565,plain,
% 11.59/7.65 (v119(constB3) | v120(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1564, 1563])).
% 11.59/7.65 tff(1566,plain,
% 11.59/7.65 ((~(v118(constB3) <=> (v119(constB3) | v120(constB3)))) | v118(constB3) | (~(v119(constB3) | v120(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1567,plain,
% 11.59/7.65 (v118(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1566, 1565, 1119])).
% 11.59/7.65 tff(1568,plain,
% 11.59/7.65 ((v118(constB3) | v121(constB3)) | (~v118(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1569,plain,
% 11.59/7.65 (v118(constB3) | v121(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1568, 1567])).
% 11.59/7.65 tff(1570,plain,
% 11.59/7.65 ((~(v117(constB3) <=> (v118(constB3) | v121(constB3)))) | v117(constB3) | (~(v118(constB3) | v121(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1571,plain,
% 11.59/7.65 (v117(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1570, 1569, 1110])).
% 11.59/7.65 tff(1572,plain,
% 11.59/7.65 ((v117(constB3) | v122(constB3)) | (~v117(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1573,plain,
% 11.59/7.65 (v117(constB3) | v122(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1572, 1571])).
% 11.59/7.65 tff(1574,plain,
% 11.59/7.65 ((~(v116(constB3) <=> (v117(constB3) | v122(constB3)))) | v116(constB3) | (~(v117(constB3) | v122(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1575,plain,
% 11.59/7.65 (v116(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1574, 1573, 1108])).
% 11.59/7.65 tff(1576,plain,
% 11.59/7.65 ((v116(constB3) | v123(constB3)) | (~v116(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1577,plain,
% 11.59/7.65 (v116(constB3) | v123(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1576, 1575])).
% 11.59/7.65 tff(1578,plain,
% 11.59/7.65 ((~(v115(constB3) <=> (v116(constB3) | v123(constB3)))) | v115(constB3) | (~(v116(constB3) | v123(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1579,plain,
% 11.59/7.65 (v115(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1578, 1577, 1106])).
% 11.59/7.65 tff(1580,plain,
% 11.59/7.65 ((v115(constB3) | v124(constB3)) | (~v115(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1581,plain,
% 11.59/7.65 (v115(constB3) | v124(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1580, 1579])).
% 11.59/7.65 tff(1582,plain,
% 11.59/7.65 ((~(v114(constB3) <=> (v115(constB3) | v124(constB3)))) | v114(constB3) | (~(v115(constB3) | v124(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1583,plain,
% 11.59/7.65 (v114(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1582, 1581, 1104])).
% 11.59/7.65 tff(1584,plain,
% 11.59/7.65 ((v114(constB3) | v125(constB3)) | (~v114(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1585,plain,
% 11.59/7.65 (v114(constB3) | v125(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1584, 1583])).
% 11.59/7.65 tff(1586,plain,
% 11.59/7.65 ((~(v113(constB3) <=> (v114(constB3) | v125(constB3)))) | v113(constB3) | (~(v114(constB3) | v125(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1587,plain,
% 11.59/7.65 (v113(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1586, 1585, 1102])).
% 11.59/7.65 tff(1588,plain,
% 11.59/7.65 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB3)) <=> v111(constB3))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1589,plain,
% 11.59/7.65 ((~v126(constB3)) <=> v111(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1588, 1345])).
% 11.59/7.65 tff(1590,plain,
% 11.59/7.65 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB3) <=> v26(constB3))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1591,plain,
% 11.59/7.65 (v111(constB3) <=> v26(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1590, 1357])).
% 11.59/7.65 tff(1592,plain,
% 11.59/7.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1593,plain,
% 11.59/7.65 (~v26(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1592, 1369])).
% 11.59/7.65 tff(1594,plain,
% 11.59/7.65 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3)) | v26(constB3)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1595,plain,
% 11.59/7.65 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1594, 1593])).
% 11.59/7.65 tff(1596,plain,
% 11.59/7.65 (~v111(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1595, 1591])).
% 11.59/7.65 tff(1597,plain,
% 11.59/7.65 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3) | v111(constB3)),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1598,plain,
% 11.59/7.65 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1597, 1596])).
% 11.59/7.65 tff(1599,plain,
% 11.59/7.65 (v126(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1598, 1589])).
% 11.59/7.65 tff(1600,plain,
% 11.59/7.65 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3)) | (~v126(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1601,plain,
% 11.59/7.65 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1600, 1599])).
% 11.59/7.65 tff(1602,plain,
% 11.59/7.65 (~((~v113(constB3)) | (~v126(constB3)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1601, 1587])).
% 11.59/7.65 tff(1603,plain,
% 11.59/7.65 ((~(v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))) | v112(constB3) | ((~v113(constB3)) | (~v126(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1604,plain,
% 11.59/7.65 (v112(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1603, 1602, 1100])).
% 11.59/7.65 tff(1605,plain,
% 11.59/7.65 ((v111(constB3) | v112(constB3)) | (~v112(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1606,plain,
% 11.59/7.65 (v111(constB3) | v112(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1605, 1604])).
% 11.59/7.65 tff(1607,plain,
% 11.59/7.65 ((~(v108(constB3) <=> (v111(constB3) | v112(constB3)))) | v108(constB3) | (~(v111(constB3) | v112(constB3)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1608,plain,
% 11.59/7.65 (v108(constB3)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1607, 1606, 1098])).
% 11.59/7.65 tff(1609,plain,
% 11.59/7.65 ((~(v110(constB4) <=> v108(constB3))) | v110(constB4) | (~v108(constB3))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1610,plain,
% 11.59/7.65 (v110(constB4)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1609, 1608, 1096])).
% 11.59/7.65 tff(1611,plain,
% 11.59/7.65 ((~((~v101(constB4)) | (~v110(constB4)))) | (~v101(constB4)) | (~v110(constB4))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1612,plain,
% 11.59/7.65 (~((~v101(constB4)) | (~v110(constB4)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1611, 1610, 1092])).
% 11.59/7.65 tff(1613,plain,
% 11.59/7.65 ((~(v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))) | v100(constB4) | ((~v101(constB4)) | (~v110(constB4)))),
% 11.59/7.65 inference(tautology,[status(thm)],[])).
% 11.59/7.65 tff(1614,plain,
% 11.59/7.65 (v100(constB4)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1613, 1612, 1061])).
% 11.59/7.65 tff(1615,plain,
% 11.59/7.65 (((~![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))))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1616,plain,
% 11.59/7.65 ((~![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))))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1617,plain,
% 11.59/7.65 ((~![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)))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1616, 1615])).
% 11.59/7.65 tff(1618,plain,
% 11.59/7.65 ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1617, 1405])).
% 11.59/7.65 tff(1619,plain,
% 11.59/7.65 (![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1618, 1614])).
% 11.59/7.65 tff(1620,plain,
% 11.59/7.65 (((~![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)))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1621,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1622,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 11.59/7.65 tff(1623,plain,
% 11.59/7.65 (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1622, 579, 1619])).
% 11.59/7.65 tff(1624,plain,
% 11.59/7.65 (((~![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))))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1625,plain,
% 11.59/7.65 ((~![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))))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1626,plain,
% 11.59/7.65 ((~![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)))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 11.59/7.65 tff(1627,plain,
% 11.59/7.65 (![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1626, 1057, 1427])).
% 11.59/7.65 tff(1628,plain,
% 11.59/7.65 (((~![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)))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1629,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1630,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 11.59/7.65 tff(1631,plain,
% 11.59/7.65 (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1630, 579, 1627])).
% 11.59/7.65 tff(1632,plain,
% 11.59/7.65 (((~![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))))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1633,plain,
% 11.59/7.65 ((~![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))))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1634,plain,
% 11.59/7.65 ((~![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)))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 11.59/7.65 tff(1635,plain,
% 11.59/7.65 (![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1634, 1448, 1596])).
% 11.59/7.65 tff(1636,plain,
% 11.59/7.65 (((~![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)))),
% 11.59/7.65 inference(rewrite,[status(thm)],[])).
% 11.59/7.65 tff(1637,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))),
% 11.59/7.65 inference(quant_inst,[status(thm)],[])).
% 11.59/7.65 tff(1638,plain,
% 11.59/7.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2))),
% 11.59/7.65 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 11.59/7.65 tff(1639,plain,
% 11.59/7.65 (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)),
% 11.59/7.65 inference(unit_resolution,[status(thm)],[1638, 579, 1635])).
% 11.59/7.65 tff(1640,plain,
% 11.59/7.65 (^[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)))))),
% 11.59/7.65 inference(bind,[status(th)],[])).
% 11.59/7.65 tff(1641,plain,
% 11.59/7.65 (![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))))),
% 11.59/7.65 inference(quant_intro,[status(thm)],[1640])).
% 11.59/7.65 tff(1642,plain,
% 11.59/7.65 (^[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)))))),
% 11.59/7.65 inference(bind,[status(th)],[])).
% 11.59/7.65 tff(1643,plain,
% 11.59/7.65 (![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))))),
% 11.59/7.65 inference(quant_intro,[status(thm)],[1642])).
% 11.59/7.65 tff(1644,plain,
% 11.59/7.65 (![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))))),
% 11.59/7.66 inference(transitivity,[status(thm)],[1643, 1641])).
% 11.59/7.66 tff(1645,plain,
% 11.59/7.66 (![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))))),
% 11.59/7.66 inference(rewrite,[status(thm)],[])).
% 11.59/7.66 tff(1646,plain,
% 11.59/7.66 (^[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))))))),
% 11.66/7.66 inference(bind,[status(th)],[])).
% 11.66/7.66 tff(1647,plain,
% 11.66/7.66 (![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))))),
% 11.66/7.66 inference(quant_intro,[status(thm)],[1646])).
% 11.66/7.66 tff(1648,axiom,(![VarCurr: $i] : (v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 11.66/7.66 tff(1649,plain,
% 11.66/7.66 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 11.66/7.66 tff(1650,plain,
% 11.66/7.66 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1649, 1645])).
% 11.66/7.66 tff(1651,plain,(
% 11.66/7.66 ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 11.66/7.66 inference(skolemize,[status(sab)],[1650])).
% 11.66/7.66 tff(1652,plain,
% 11.66/7.66 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1651, 1644])).
% 11.66/7.66 tff(1653,plain,
% 11.66/7.66 (((~![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))))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1654,plain,
% 11.66/7.66 ((~![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))))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1655,plain,
% 11.66/7.66 ((~![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)))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 11.66/7.66 tff(1656,plain,
% 11.66/7.66 ((~v120(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1655, 1652])).
% 11.66/7.66 tff(1657,plain,
% 11.66/7.66 (![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1656, 1563])).
% 11.66/7.66 tff(1658,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1659,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b010(bitIndex2)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1660,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b010(bitIndex2))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 11.66/7.66 tff(1661,plain,
% 11.66/7.66 (v130(constB3, bitIndex2) <=> b010(bitIndex2)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1660, 579, 1657])).
% 11.66/7.66 tff(1662,plain,
% 11.66/7.66 ((~b010(bitIndex2)) <=> (~b010(bitIndex2))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1663,axiom,(~b010(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_8')).
% 11.66/7.66 tff(1664,plain,
% 11.66/7.66 (~b010(bitIndex2)),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 11.66/7.66 tff(1665,plain,
% 11.66/7.66 ((~(v130(constB3, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB3, bitIndex2)) | b010(bitIndex2)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1666,plain,
% 11.66/7.66 ((~(v130(constB3, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB3, bitIndex2))),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1665, 1664])).
% 11.66/7.66 tff(1667,plain,
% 11.66/7.66 (~v130(constB3, bitIndex2)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1666, 1661])).
% 11.66/7.66 tff(1668,plain,
% 11.66/7.66 ((~(v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2))) | (~v127(constB3, bitIndex2)) | v130(constB3, bitIndex2)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1669,plain,
% 11.66/7.66 (~v127(constB3, bitIndex2)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1668, 1667, 1639])).
% 11.66/7.66 tff(1670,plain,
% 11.66/7.66 ((~(v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2))) | (~v129(constB4, bitIndex2)) | v127(constB3, bitIndex2)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1671,plain,
% 11.66/7.66 (~v129(constB4, bitIndex2)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1670, 1669, 1631])).
% 11.66/7.66 tff(1672,plain,
% 11.66/7.66 ((~(v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1673,plain,
% 11.66/7.66 (~v90(constB4, bitIndex2)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1672, 1671, 1623])).
% 11.66/7.66 tff(1674,plain,
% 11.66/7.66 ((~(v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2))) | (~v90(constB5, bitIndex2)) | v90(constB4, bitIndex2)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1675,plain,
% 11.66/7.66 (~v90(constB5, bitIndex2)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1674, 1673, 1054])).
% 11.66/7.66 tff(1676,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1677,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1678,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 11.66/7.66 tff(1679,plain,
% 11.66/7.66 (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1678, 1275, 1050])).
% 11.66/7.66 tff(1680,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1681,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1682,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 11.66/7.66 tff(1683,plain,
% 11.66/7.66 (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1682, 1275, 1619])).
% 11.66/7.66 tff(1684,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1685,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1686,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 11.66/7.66 tff(1687,plain,
% 11.66/7.66 (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1686, 1275, 1627])).
% 11.66/7.66 tff(1688,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1689,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1690,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 11.66/7.66 tff(1691,plain,
% 11.66/7.66 (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1690, 1275, 1635])).
% 11.66/7.66 tff(1692,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1693,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b010(bitIndex0)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1694,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b010(bitIndex0))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 11.66/7.66 tff(1695,plain,
% 11.66/7.66 (v130(constB3, bitIndex0) <=> b010(bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1694, 1275, 1657])).
% 11.66/7.66 tff(1696,plain,
% 11.66/7.66 ((~b010(bitIndex0)) <=> (~b010(bitIndex0))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1697,axiom,(~b010(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_6')).
% 11.66/7.66 tff(1698,plain,
% 11.66/7.66 (~b010(bitIndex0)),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 11.66/7.66 tff(1699,plain,
% 11.66/7.66 ((~(v130(constB3, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB3, bitIndex0)) | b010(bitIndex0)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1700,plain,
% 11.66/7.66 ((~(v130(constB3, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB3, bitIndex0))),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1699, 1698])).
% 11.66/7.66 tff(1701,plain,
% 11.66/7.66 (~v130(constB3, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1700, 1695])).
% 11.66/7.66 tff(1702,plain,
% 11.66/7.66 ((~(v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0))) | (~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1703,plain,
% 11.66/7.66 (~v127(constB3, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1702, 1701, 1691])).
% 11.66/7.66 tff(1704,plain,
% 11.66/7.66 ((~(v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0))) | (~v129(constB4, bitIndex0)) | v127(constB3, bitIndex0)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1705,plain,
% 11.66/7.66 (~v129(constB4, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1704, 1703, 1687])).
% 11.66/7.66 tff(1706,plain,
% 11.66/7.66 ((~(v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1707,plain,
% 11.66/7.66 (~v90(constB4, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1706, 1705, 1683])).
% 11.66/7.66 tff(1708,plain,
% 11.66/7.66 ((~(v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0))) | (~v90(constB5, bitIndex0)) | v90(constB4, bitIndex0)),
% 11.66/7.66 inference(tautology,[status(thm)],[])).
% 11.66/7.66 tff(1709,plain,
% 11.66/7.66 (~v90(constB5, bitIndex0)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1708, 1707, 1679])).
% 11.66/7.66 tff(1710,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.66 inference(rewrite,[status(thm)],[])).
% 11.66/7.66 tff(1711,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))),
% 11.66/7.66 inference(quant_inst,[status(thm)],[])).
% 11.66/7.66 tff(1712,plain,
% 11.66/7.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1))),
% 11.66/7.66 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 11.66/7.66 tff(1713,plain,
% 11.66/7.66 (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)),
% 11.66/7.66 inference(unit_resolution,[status(thm)],[1712, 1288, 1050])).
% 11.66/7.66 tff(1714,plain,
% 11.66/7.66 (((~![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)))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1715,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1716,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 11.66/7.67 tff(1717,plain,
% 11.66/7.67 (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1716, 1288, 1619])).
% 11.66/7.67 tff(1718,plain,
% 11.66/7.67 (((~![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)))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1719,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1720,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 11.66/7.67 tff(1721,plain,
% 11.66/7.67 (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1720, 1288, 1627])).
% 11.66/7.67 tff(1722,plain,
% 11.66/7.67 (((~![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)))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1723,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1724,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 11.66/7.67 tff(1725,plain,
% 11.66/7.67 (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1724, 1288, 1635])).
% 11.66/7.67 tff(1726,plain,
% 11.66/7.67 (((~![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)))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1727,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b010(bitIndex1)))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1728,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b010(bitIndex1))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 11.66/7.67 tff(1729,plain,
% 11.66/7.67 (v130(constB3, bitIndex1) <=> b010(bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1728, 1288, 1657])).
% 11.66/7.67 tff(1730,plain,
% 11.66/7.67 (b010(bitIndex1) <=> b010(bitIndex1)),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1731,axiom,(b010(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_7')).
% 11.66/7.67 tff(1732,plain,
% 11.66/7.67 (b010(bitIndex1)),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 11.66/7.67 tff(1733,plain,
% 11.66/7.67 ((~(v130(constB3, bitIndex1) <=> b010(bitIndex1))) | v130(constB3, bitIndex1) | (~b010(bitIndex1))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1734,plain,
% 11.66/7.67 ((~(v130(constB3, bitIndex1) <=> b010(bitIndex1))) | v130(constB3, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1733, 1732])).
% 11.66/7.67 tff(1735,plain,
% 11.66/7.67 (v130(constB3, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1734, 1729])).
% 11.66/7.67 tff(1736,plain,
% 11.66/7.67 ((~(v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1))) | v127(constB3, bitIndex1) | (~v130(constB3, bitIndex1))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1737,plain,
% 11.66/7.67 (v127(constB3, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1736, 1735, 1725])).
% 11.66/7.67 tff(1738,plain,
% 11.66/7.67 ((~(v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1))) | v129(constB4, bitIndex1) | (~v127(constB3, bitIndex1))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1739,plain,
% 11.66/7.67 (v129(constB4, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1738, 1737, 1721])).
% 11.66/7.67 tff(1740,plain,
% 11.66/7.67 ((~(v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1741,plain,
% 11.66/7.67 (v90(constB4, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1740, 1739, 1717])).
% 11.66/7.67 tff(1742,plain,
% 11.66/7.67 ((~(v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1))) | v90(constB5, bitIndex1) | (~v90(constB4, bitIndex1))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1743,plain,
% 11.66/7.67 (v90(constB5, bitIndex1)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1742, 1741, 1713])).
% 11.66/7.67 tff(1744,plain,
% 11.66/7.67 ((~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1745,plain,
% 11.66/7.67 (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1744, 1743, 1709, 1675])).
% 11.66/7.67 tff(1746,plain,
% 11.66/7.67 ((~(v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) | v121(constB5) | (v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1747,plain,
% 11.66/7.67 (v121(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1746, 1745, 1022])).
% 11.66/7.67 tff(1748,plain,
% 11.66/7.67 ((v118(constB5) | v121(constB5)) | (~v121(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1749,plain,
% 11.66/7.67 (v118(constB5) | v121(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1748, 1747])).
% 11.66/7.67 tff(1750,plain,
% 11.66/7.67 ((~(v117(constB5) <=> (v118(constB5) | v121(constB5)))) | v117(constB5) | (~(v118(constB5) | v121(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1751,plain,
% 11.66/7.67 (v117(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1750, 1749, 1002])).
% 11.66/7.67 tff(1752,plain,
% 11.66/7.67 ((v117(constB5) | v122(constB5)) | (~v117(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1753,plain,
% 11.66/7.67 (v117(constB5) | v122(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1752, 1751])).
% 11.66/7.67 tff(1754,plain,
% 11.66/7.67 ((~(v116(constB5) <=> (v117(constB5) | v122(constB5)))) | v116(constB5) | (~(v117(constB5) | v122(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1755,plain,
% 11.66/7.67 (v116(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1754, 1753, 993])).
% 11.66/7.67 tff(1756,plain,
% 11.66/7.67 ((v116(constB5) | v123(constB5)) | (~v116(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1757,plain,
% 11.66/7.67 (v116(constB5) | v123(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1756, 1755])).
% 11.66/7.67 tff(1758,plain,
% 11.66/7.67 ((~(v115(constB5) <=> (v116(constB5) | v123(constB5)))) | v115(constB5) | (~(v116(constB5) | v123(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1759,plain,
% 11.66/7.67 (v115(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1758, 1757, 991])).
% 11.66/7.67 tff(1760,plain,
% 11.66/7.67 ((v115(constB5) | v124(constB5)) | (~v115(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1761,plain,
% 11.66/7.67 (v115(constB5) | v124(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1760, 1759])).
% 11.66/7.67 tff(1762,plain,
% 11.66/7.67 ((~(v114(constB5) <=> (v115(constB5) | v124(constB5)))) | v114(constB5) | (~(v115(constB5) | v124(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1763,plain,
% 11.66/7.67 (v114(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1762, 1761, 989])).
% 11.66/7.67 tff(1764,plain,
% 11.66/7.67 ((v114(constB5) | v125(constB5)) | (~v114(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1765,plain,
% 11.66/7.67 (v114(constB5) | v125(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1764, 1763])).
% 11.66/7.67 tff(1766,plain,
% 11.66/7.67 ((~(v113(constB5) <=> (v114(constB5) | v125(constB5)))) | v113(constB5) | (~(v114(constB5) | v125(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1767,plain,
% 11.66/7.67 (v113(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1766, 1765, 987])).
% 11.66/7.67 tff(1768,plain,
% 11.66/7.67 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB5)) <=> v111(constB5))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1769,plain,
% 11.66/7.67 ((~v126(constB5)) <=> v111(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1768, 1345])).
% 11.66/7.67 tff(1770,plain,
% 11.66/7.67 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1771,plain,
% 11.66/7.67 (v111(constB5) <=> v26(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1770, 1357])).
% 11.66/7.67 tff(1772,plain,
% 11.66/7.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1773,plain,
% 11.66/7.67 (~v26(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1772, 1369])).
% 11.66/7.67 tff(1774,plain,
% 11.66/7.67 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1775,plain,
% 11.66/7.67 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1774, 1773])).
% 11.66/7.67 tff(1776,plain,
% 11.66/7.67 (~v111(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1775, 1771])).
% 11.66/7.67 tff(1777,plain,
% 11.66/7.67 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5) | v111(constB5)),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1778,plain,
% 11.66/7.67 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1777, 1776])).
% 11.66/7.67 tff(1779,plain,
% 11.66/7.67 (v126(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1778, 1769])).
% 11.66/7.67 tff(1780,plain,
% 11.66/7.67 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5)) | (~v126(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1781,plain,
% 11.66/7.67 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1780, 1779])).
% 11.66/7.67 tff(1782,plain,
% 11.66/7.67 (~((~v113(constB5)) | (~v126(constB5)))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1781, 1767])).
% 11.66/7.67 tff(1783,plain,
% 11.66/7.67 ((~(v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))) | v112(constB5) | ((~v113(constB5)) | (~v126(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1784,plain,
% 11.66/7.67 (v112(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1783, 1782, 985])).
% 11.66/7.67 tff(1785,plain,
% 11.66/7.67 ((v111(constB5) | v112(constB5)) | (~v112(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1786,plain,
% 11.66/7.67 (v111(constB5) | v112(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1785, 1784])).
% 11.66/7.67 tff(1787,plain,
% 11.66/7.67 ((~(v108(constB5) <=> (v111(constB5) | v112(constB5)))) | v108(constB5) | (~(v111(constB5) | v112(constB5)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1788,plain,
% 11.66/7.67 (v108(constB5)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1787, 1786, 983])).
% 11.66/7.67 tff(1789,plain,
% 11.66/7.67 ((~(v110(constB6) <=> v108(constB5))) | v110(constB6) | (~v108(constB5))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1790,plain,
% 11.66/7.67 (v110(constB6)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1789, 1788, 981])).
% 11.66/7.67 tff(1791,plain,
% 11.66/7.67 ((~((~v101(constB6)) | (~v110(constB6)))) | (~v101(constB6)) | (~v110(constB6))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1792,plain,
% 11.66/7.67 (~((~v101(constB6)) | (~v110(constB6)))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1791, 1790, 977])).
% 11.66/7.67 tff(1793,plain,
% 11.66/7.67 ((~(v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))) | v100(constB6) | ((~v101(constB6)) | (~v110(constB6)))),
% 11.66/7.67 inference(tautology,[status(thm)],[])).
% 11.66/7.67 tff(1794,plain,
% 11.66/7.67 (v100(constB6)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1793, 1792, 946])).
% 11.66/7.67 tff(1795,plain,
% 11.66/7.67 (((~![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))))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1796,plain,
% 11.66/7.67 ((~![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))))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1797,plain,
% 11.66/7.67 ((~![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)))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1796, 1795])).
% 11.66/7.67 tff(1798,plain,
% 11.66/7.67 ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1797, 1405])).
% 11.66/7.67 tff(1799,plain,
% 11.66/7.67 (![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1798, 1794])).
% 11.66/7.67 tff(1800,plain,
% 11.66/7.67 (((~![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)))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1801,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1802,plain,
% 11.66/7.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 11.66/7.67 tff(1803,plain,
% 11.66/7.67 (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1802, 579, 1799])).
% 11.66/7.67 tff(1804,plain,
% 11.66/7.67 (((~![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))))),
% 11.66/7.67 inference(rewrite,[status(thm)],[])).
% 11.66/7.67 tff(1805,plain,
% 11.66/7.67 ((~![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))))),
% 11.66/7.67 inference(quant_inst,[status(thm)],[])).
% 11.66/7.67 tff(1806,plain,
% 11.66/7.67 ((~![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)))),
% 11.66/7.67 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 11.66/7.67 tff(1807,plain,
% 11.66/7.67 (![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))),
% 11.66/7.67 inference(unit_resolution,[status(thm)],[1806, 942, 1427])).
% 11.66/7.67 tff(1808,plain,
% 11.66/7.67 (((~![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)))),
% 11.66/7.68 inference(rewrite,[status(thm)],[])).
% 11.66/7.68 tff(1809,plain,
% 11.66/7.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))),
% 11.66/7.68 inference(quant_inst,[status(thm)],[])).
% 11.66/7.68 tff(1810,plain,
% 11.66/7.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 11.66/7.68 tff(1811,plain,
% 11.66/7.68 (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)),
% 11.66/7.68 inference(unit_resolution,[status(thm)],[1810, 579, 1807])).
% 11.66/7.68 tff(1812,plain,
% 11.66/7.68 (((~![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))))),
% 11.66/7.68 inference(rewrite,[status(thm)],[])).
% 11.66/7.68 tff(1813,plain,
% 11.66/7.68 ((~![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))))),
% 11.66/7.68 inference(quant_inst,[status(thm)],[])).
% 11.66/7.68 tff(1814,plain,
% 11.66/7.68 ((~![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)))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 11.66/7.68 tff(1815,plain,
% 11.66/7.68 (![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))),
% 11.66/7.68 inference(unit_resolution,[status(thm)],[1814, 1448, 1776])).
% 11.66/7.68 tff(1816,plain,
% 11.66/7.68 (((~![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)))),
% 11.66/7.68 inference(rewrite,[status(thm)],[])).
% 11.66/7.68 tff(1817,plain,
% 11.66/7.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))),
% 11.66/7.68 inference(quant_inst,[status(thm)],[])).
% 11.66/7.68 tff(1818,plain,
% 11.66/7.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 11.66/7.68 tff(1819,plain,
% 11.66/7.68 (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)),
% 11.66/7.68 inference(unit_resolution,[status(thm)],[1818, 579, 1815])).
% 11.66/7.68 tff(1820,plain,
% 11.66/7.68 (^[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)))))),
% 11.66/7.68 inference(bind,[status(th)],[])).
% 11.66/7.68 tff(1821,plain,
% 11.66/7.68 (![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))))),
% 11.66/7.68 inference(quant_intro,[status(thm)],[1820])).
% 11.66/7.68 tff(1822,plain,
% 11.66/7.68 (^[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)))))),
% 11.66/7.68 inference(bind,[status(th)],[])).
% 11.66/7.68 tff(1823,plain,
% 11.66/7.68 (![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))))),
% 11.66/7.68 inference(quant_intro,[status(thm)],[1822])).
% 11.66/7.68 tff(1824,plain,
% 11.66/7.68 (![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))))),
% 11.66/7.68 inference(transitivity,[status(thm)],[1823, 1821])).
% 11.66/7.68 tff(1825,plain,
% 11.66/7.68 (![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))))),
% 11.66/7.68 inference(rewrite,[status(thm)],[])).
% 11.66/7.68 tff(1826,plain,
% 11.66/7.68 (^[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))))))),
% 11.66/7.68 inference(bind,[status(th)],[])).
% 11.66/7.68 tff(1827,plain,
% 11.66/7.68 (![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))))),
% 11.66/7.68 inference(quant_intro,[status(thm)],[1826])).
% 11.66/7.68 tff(1828,axiom,(![VarCurr: $i] : (v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 11.66/7.68 tff(1829,plain,
% 11.66/7.68 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 11.66/7.68 tff(1830,plain,
% 11.66/7.68 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1829, 1825])).
% 11.66/7.68 tff(1831,plain,(
% 11.66/7.68 ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 11.66/7.68 inference(skolemize,[status(sab)],[1830])).
% 11.66/7.68 tff(1832,plain,
% 11.66/7.68 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1831, 1824])).
% 11.66/7.68 tff(1833,plain,
% 11.66/7.68 (((~![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))))),
% 11.66/7.68 inference(rewrite,[status(thm)],[])).
% 11.66/7.68 tff(1834,plain,
% 11.66/7.68 ((~![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))))),
% 11.66/7.68 inference(quant_inst,[status(thm)],[])).
% 11.66/7.68 tff(1835,plain,
% 11.66/7.68 ((~![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)))),
% 11.66/7.68 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 11.66/7.68 tff(1836,plain,
% 11.66/7.68 ((~v121(constB5)) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))),
% 11.66/7.68 inference(unit_resolution,[status(thm)],[1835, 1832])).
% 11.66/7.68 tff(1837,plain,
% 11.66/7.68 (![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))),
% 11.66/7.68 inference(unit_resolution,[status(thm)],[1836, 1747])).
% 11.66/7.68 tff(1838,plain,
% 11.66/7.68 (((~![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)))),
% 11.66/7.68 inference(rewrite,[status(thm)],[])).
% 11.66/7.68 tff(1839,plain,
% 11.66/7.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b011(bitIndex2)))),
% 11.66/7.68 inference(quant_inst,[status(thm)],[])).
% 11.68/7.68 tff(1840,plain,
% 11.68/7.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b011(bitIndex2))),
% 11.68/7.68 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 11.68/7.68 tff(1841,plain,
% 11.68/7.68 (v130(constB5, bitIndex2) <=> b011(bitIndex2)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1840, 579, 1837])).
% 11.68/7.68 tff(1842,plain,
% 11.68/7.68 ((~b011(bitIndex2)) <=> (~b011(bitIndex2))),
% 11.68/7.68 inference(rewrite,[status(thm)],[])).
% 11.68/7.68 tff(1843,axiom,(~b011(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_11')).
% 11.68/7.68 tff(1844,plain,
% 11.68/7.68 (~b011(bitIndex2)),
% 11.68/7.68 inference(modus_ponens,[status(thm)],[1843, 1842])).
% 11.68/7.68 tff(1845,plain,
% 11.68/7.68 ((~(v130(constB5, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB5, bitIndex2)) | b011(bitIndex2)),
% 11.68/7.68 inference(tautology,[status(thm)],[])).
% 11.68/7.68 tff(1846,plain,
% 11.68/7.68 ((~(v130(constB5, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB5, bitIndex2))),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1845, 1844])).
% 11.68/7.68 tff(1847,plain,
% 11.68/7.68 (~v130(constB5, bitIndex2)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1846, 1841])).
% 11.68/7.68 tff(1848,plain,
% 11.68/7.68 ((~(v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2))) | (~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 11.68/7.68 inference(tautology,[status(thm)],[])).
% 11.68/7.68 tff(1849,plain,
% 11.68/7.68 (~v127(constB5, bitIndex2)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1848, 1847, 1819])).
% 11.68/7.68 tff(1850,plain,
% 11.68/7.68 ((~(v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2))) | (~v129(constB6, bitIndex2)) | v127(constB5, bitIndex2)),
% 11.68/7.68 inference(tautology,[status(thm)],[])).
% 11.68/7.68 tff(1851,plain,
% 11.68/7.68 (~v129(constB6, bitIndex2)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1850, 1849, 1811])).
% 11.68/7.68 tff(1852,plain,
% 11.68/7.68 ((~(v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2)),
% 11.68/7.68 inference(tautology,[status(thm)],[])).
% 11.68/7.68 tff(1853,plain,
% 11.68/7.68 (~v90(constB6, bitIndex2)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1852, 1851, 1803])).
% 11.68/7.68 tff(1854,plain,
% 11.68/7.68 ((~(v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2))) | (~v90(constB7, bitIndex2)) | v90(constB6, bitIndex2)),
% 11.68/7.68 inference(tautology,[status(thm)],[])).
% 11.68/7.68 tff(1855,plain,
% 11.68/7.68 (~v90(constB7, bitIndex2)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1854, 1853, 939])).
% 11.68/7.68 tff(1856,plain,
% 11.68/7.68 (((~![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)))),
% 11.68/7.68 inference(rewrite,[status(thm)],[])).
% 11.68/7.68 tff(1857,plain,
% 11.68/7.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))),
% 11.68/7.68 inference(quant_inst,[status(thm)],[])).
% 11.68/7.68 tff(1858,plain,
% 11.68/7.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0))),
% 11.68/7.68 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 11.68/7.68 tff(1859,plain,
% 11.68/7.68 (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)),
% 11.68/7.68 inference(unit_resolution,[status(thm)],[1858, 1275, 935])).
% 11.68/7.68 tff(1860,plain,
% 11.68/7.68 (((~![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)))),
% 11.68/7.68 inference(rewrite,[status(thm)],[])).
% 11.68/7.68 tff(1861,plain,
% 11.68/7.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))),
% 11.68/7.68 inference(quant_inst,[status(thm)],[])).
% 11.68/7.68 tff(1862,plain,
% 11.68/7.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0))),
% 11.68/7.68 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 11.68/7.68 tff(1863,plain,
% 11.68/7.69 (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1862, 1275, 1799])).
% 11.68/7.69 tff(1864,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1865,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1866,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 11.68/7.69 tff(1867,plain,
% 11.68/7.69 (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1866, 1275, 1807])).
% 11.68/7.69 tff(1868,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1869,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1870,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 11.68/7.69 tff(1871,plain,
% 11.68/7.69 (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1870, 1275, 1815])).
% 11.68/7.69 tff(1872,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1873,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b011(bitIndex0)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1874,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b011(bitIndex0))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 11.68/7.69 tff(1875,plain,
% 11.68/7.69 (v130(constB5, bitIndex0) <=> b011(bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1874, 1275, 1837])).
% 11.68/7.69 tff(1876,plain,
% 11.68/7.69 (b011(bitIndex0) <=> b011(bitIndex0)),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1877,axiom,(b011(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_9')).
% 11.68/7.69 tff(1878,plain,
% 11.68/7.69 (b011(bitIndex0)),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 11.68/7.69 tff(1879,plain,
% 11.68/7.69 ((~(v130(constB5, bitIndex0) <=> b011(bitIndex0))) | v130(constB5, bitIndex0) | (~b011(bitIndex0))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1880,plain,
% 11.68/7.69 ((~(v130(constB5, bitIndex0) <=> b011(bitIndex0))) | v130(constB5, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1879, 1878])).
% 11.68/7.69 tff(1881,plain,
% 11.68/7.69 (v130(constB5, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1880, 1875])).
% 11.68/7.69 tff(1882,plain,
% 11.68/7.69 ((~(v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0))) | v127(constB5, bitIndex0) | (~v130(constB5, bitIndex0))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1883,plain,
% 11.68/7.69 (v127(constB5, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1882, 1881, 1871])).
% 11.68/7.69 tff(1884,plain,
% 11.68/7.69 ((~(v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0))) | v129(constB6, bitIndex0) | (~v127(constB5, bitIndex0))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1885,plain,
% 11.68/7.69 (v129(constB6, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1884, 1883, 1867])).
% 11.68/7.69 tff(1886,plain,
% 11.68/7.69 ((~(v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1887,plain,
% 11.68/7.69 (v90(constB6, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1886, 1885, 1863])).
% 11.68/7.69 tff(1888,plain,
% 11.68/7.69 ((~(v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0))) | v90(constB7, bitIndex0) | (~v90(constB6, bitIndex0))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1889,plain,
% 11.68/7.69 (v90(constB7, bitIndex0)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1888, 1887, 1859])).
% 11.68/7.69 tff(1890,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1891,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1892,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1891, 1890])).
% 11.68/7.69 tff(1893,plain,
% 11.68/7.69 (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1892, 1288, 935])).
% 11.68/7.69 tff(1894,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1895,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1896,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 11.68/7.69 tff(1897,plain,
% 11.68/7.69 (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1896, 1288, 1799])).
% 11.68/7.69 tff(1898,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1899,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1900,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1899, 1898])).
% 11.68/7.69 tff(1901,plain,
% 11.68/7.69 (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1900, 1288, 1807])).
% 11.68/7.69 tff(1902,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1903,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1904,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 11.68/7.69 tff(1905,plain,
% 11.68/7.69 (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1904, 1288, 1815])).
% 11.68/7.69 tff(1906,plain,
% 11.68/7.69 (((~![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)))),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1907,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b011(bitIndex1)))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1908,plain,
% 11.68/7.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b011(bitIndex1))),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 11.68/7.69 tff(1909,plain,
% 11.68/7.69 (v130(constB5, bitIndex1) <=> b011(bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1908, 1288, 1837])).
% 11.68/7.69 tff(1910,plain,
% 11.68/7.69 (b011(bitIndex1) <=> b011(bitIndex1)),
% 11.68/7.69 inference(rewrite,[status(thm)],[])).
% 11.68/7.69 tff(1911,axiom,(b011(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_10')).
% 11.68/7.69 tff(1912,plain,
% 11.68/7.69 (b011(bitIndex1)),
% 11.68/7.69 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 11.68/7.69 tff(1913,plain,
% 11.68/7.69 ((~(v130(constB5, bitIndex1) <=> b011(bitIndex1))) | v130(constB5, bitIndex1) | (~b011(bitIndex1))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1914,plain,
% 11.68/7.69 ((~(v130(constB5, bitIndex1) <=> b011(bitIndex1))) | v130(constB5, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1913, 1912])).
% 11.68/7.69 tff(1915,plain,
% 11.68/7.69 (v130(constB5, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1914, 1909])).
% 11.68/7.69 tff(1916,plain,
% 11.68/7.69 ((~(v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1))) | v127(constB5, bitIndex1) | (~v130(constB5, bitIndex1))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1917,plain,
% 11.68/7.69 (v127(constB5, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1916, 1915, 1905])).
% 11.68/7.69 tff(1918,plain,
% 11.68/7.69 ((~(v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1))) | v129(constB6, bitIndex1) | (~v127(constB5, bitIndex1))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1919,plain,
% 11.68/7.69 (v129(constB6, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1918, 1917, 1901])).
% 11.68/7.69 tff(1920,plain,
% 11.68/7.69 ((~(v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1921,plain,
% 11.68/7.69 (v90(constB6, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1920, 1919, 1897])).
% 11.68/7.69 tff(1922,plain,
% 11.68/7.69 ((~(v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1))) | v90(constB7, bitIndex1) | (~v90(constB6, bitIndex1))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1923,plain,
% 11.68/7.69 (v90(constB7, bitIndex1)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1922, 1921, 1893])).
% 11.68/7.69 tff(1924,plain,
% 11.68/7.69 ((~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1925,plain,
% 11.68/7.69 (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1924, 1923, 1889, 1855])).
% 11.68/7.69 tff(1926,plain,
% 11.68/7.69 ((~(v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))) | v122(constB7) | (v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1927,plain,
% 11.68/7.69 (v122(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1926, 1925, 907])).
% 11.68/7.69 tff(1928,plain,
% 11.68/7.69 ((v117(constB7) | v122(constB7)) | (~v122(constB7))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1929,plain,
% 11.68/7.69 (v117(constB7) | v122(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1928, 1927])).
% 11.68/7.69 tff(1930,plain,
% 11.68/7.69 ((~(v116(constB7) <=> (v117(constB7) | v122(constB7)))) | v116(constB7) | (~(v117(constB7) | v122(constB7)))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1931,plain,
% 11.68/7.69 (v116(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1930, 1929, 887])).
% 11.68/7.69 tff(1932,plain,
% 11.68/7.69 ((v116(constB7) | v123(constB7)) | (~v116(constB7))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1933,plain,
% 11.68/7.69 (v116(constB7) | v123(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1932, 1931])).
% 11.68/7.69 tff(1934,plain,
% 11.68/7.69 ((~(v115(constB7) <=> (v116(constB7) | v123(constB7)))) | v115(constB7) | (~(v116(constB7) | v123(constB7)))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1935,plain,
% 11.68/7.69 (v115(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1934, 1933, 878])).
% 11.68/7.69 tff(1936,plain,
% 11.68/7.69 ((v115(constB7) | v124(constB7)) | (~v115(constB7))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1937,plain,
% 11.68/7.69 (v115(constB7) | v124(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1936, 1935])).
% 11.68/7.69 tff(1938,plain,
% 11.68/7.69 ((~(v114(constB7) <=> (v115(constB7) | v124(constB7)))) | v114(constB7) | (~(v115(constB7) | v124(constB7)))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1939,plain,
% 11.68/7.69 (v114(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1938, 1937, 876])).
% 11.68/7.69 tff(1940,plain,
% 11.68/7.69 ((v114(constB7) | v125(constB7)) | (~v114(constB7))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1941,plain,
% 11.68/7.69 (v114(constB7) | v125(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1940, 1939])).
% 11.68/7.69 tff(1942,plain,
% 11.68/7.69 ((~(v113(constB7) <=> (v114(constB7) | v125(constB7)))) | v113(constB7) | (~(v114(constB7) | v125(constB7)))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1943,plain,
% 11.68/7.69 (v113(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1942, 1941, 874])).
% 11.68/7.69 tff(1944,plain,
% 11.68/7.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB7)) <=> v111(constB7))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1945,plain,
% 11.68/7.69 ((~v126(constB7)) <=> v111(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1944, 1345])).
% 11.68/7.69 tff(1946,plain,
% 11.68/7.69 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1947,plain,
% 11.68/7.69 (v111(constB7) <=> v26(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1946, 1357])).
% 11.68/7.69 tff(1948,plain,
% 11.68/7.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 11.68/7.69 inference(quant_inst,[status(thm)],[])).
% 11.68/7.69 tff(1949,plain,
% 11.68/7.69 (~v26(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1948, 1369])).
% 11.68/7.69 tff(1950,plain,
% 11.68/7.69 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1951,plain,
% 11.68/7.69 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1950, 1949])).
% 11.68/7.69 tff(1952,plain,
% 11.68/7.69 (~v111(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1951, 1947])).
% 11.68/7.69 tff(1953,plain,
% 11.68/7.69 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7) | v111(constB7)),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1954,plain,
% 11.68/7.69 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1953, 1952])).
% 11.68/7.69 tff(1955,plain,
% 11.68/7.69 (v126(constB7)),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1954, 1945])).
% 11.68/7.69 tff(1956,plain,
% 11.68/7.69 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7)) | (~v126(constB7))),
% 11.68/7.69 inference(tautology,[status(thm)],[])).
% 11.68/7.69 tff(1957,plain,
% 11.68/7.69 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7))),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1956, 1955])).
% 11.68/7.69 tff(1958,plain,
% 11.68/7.69 (~((~v113(constB7)) | (~v126(constB7)))),
% 11.68/7.69 inference(unit_resolution,[status(thm)],[1957, 1943])).
% 11.68/7.69 tff(1959,plain,
% 11.68/7.70 ((~(v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))) | v112(constB7) | ((~v113(constB7)) | (~v126(constB7)))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(1960,plain,
% 11.68/7.70 (v112(constB7)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1959, 1958, 872])).
% 11.68/7.70 tff(1961,plain,
% 11.68/7.70 ((v111(constB7) | v112(constB7)) | (~v112(constB7))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(1962,plain,
% 11.68/7.70 (v111(constB7) | v112(constB7)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1961, 1960])).
% 11.68/7.70 tff(1963,plain,
% 11.68/7.70 ((~(v108(constB7) <=> (v111(constB7) | v112(constB7)))) | v108(constB7) | (~(v111(constB7) | v112(constB7)))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(1964,plain,
% 11.68/7.70 (v108(constB7)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1963, 1962, 870])).
% 11.68/7.70 tff(1965,plain,
% 11.68/7.70 ((~(v110(constB8) <=> v108(constB7))) | v110(constB8) | (~v108(constB7))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(1966,plain,
% 11.68/7.70 (v110(constB8)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1965, 1964, 868])).
% 11.68/7.70 tff(1967,plain,
% 11.68/7.70 ((~((~v101(constB8)) | (~v110(constB8)))) | (~v101(constB8)) | (~v110(constB8))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(1968,plain,
% 11.68/7.70 (~((~v101(constB8)) | (~v110(constB8)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1967, 1966, 864])).
% 11.68/7.70 tff(1969,plain,
% 11.68/7.70 ((~(v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))) | v100(constB8) | ((~v101(constB8)) | (~v110(constB8)))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(1970,plain,
% 11.68/7.70 (v100(constB8)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1969, 1968, 833])).
% 11.68/7.70 tff(1971,plain,
% 11.68/7.70 (((~![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))))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(1972,plain,
% 11.68/7.70 ((~![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))))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(1973,plain,
% 11.68/7.70 ((~![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)))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 11.68/7.70 tff(1974,plain,
% 11.68/7.70 ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1973, 1405])).
% 11.68/7.70 tff(1975,plain,
% 11.68/7.70 (![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1974, 1970])).
% 11.68/7.70 tff(1976,plain,
% 11.68/7.70 (((~![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)))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(1977,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(1978,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 11.68/7.70 tff(1979,plain,
% 11.68/7.70 (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1978, 579, 1975])).
% 11.68/7.70 tff(1980,plain,
% 11.68/7.70 (((~![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))))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(1981,plain,
% 11.68/7.70 ((~![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))))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(1982,plain,
% 11.68/7.70 ((~![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)))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 11.68/7.70 tff(1983,plain,
% 11.68/7.70 (![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1982, 829, 1427])).
% 11.68/7.70 tff(1984,plain,
% 11.68/7.70 (((~![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)))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(1985,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(1986,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 11.68/7.70 tff(1987,plain,
% 11.68/7.70 (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1986, 579, 1983])).
% 11.68/7.70 tff(1988,plain,
% 11.68/7.70 (((~![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))))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(1989,plain,
% 11.68/7.70 ((~![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))))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(1990,plain,
% 11.68/7.70 ((~![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)))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 11.68/7.70 tff(1991,plain,
% 11.68/7.70 (![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1990, 1448, 1952])).
% 11.68/7.70 tff(1992,plain,
% 11.68/7.70 (((~![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)))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(1993,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(1994,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 11.68/7.70 tff(1995,plain,
% 11.68/7.70 (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[1994, 579, 1991])).
% 11.68/7.70 tff(1996,plain,
% 11.68/7.70 (^[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)))))),
% 11.68/7.70 inference(bind,[status(th)],[])).
% 11.68/7.70 tff(1997,plain,
% 11.68/7.70 (![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))))),
% 11.68/7.70 inference(quant_intro,[status(thm)],[1996])).
% 11.68/7.70 tff(1998,plain,
% 11.68/7.70 (^[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)))))),
% 11.68/7.70 inference(bind,[status(th)],[])).
% 11.68/7.70 tff(1999,plain,
% 11.68/7.70 (![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))))),
% 11.68/7.70 inference(quant_intro,[status(thm)],[1998])).
% 11.68/7.70 tff(2000,plain,
% 11.68/7.70 (![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))))),
% 11.68/7.70 inference(transitivity,[status(thm)],[1999, 1997])).
% 11.68/7.70 tff(2001,plain,
% 11.68/7.70 (![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))))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(2002,plain,
% 11.68/7.70 (^[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))))))),
% 11.68/7.70 inference(bind,[status(th)],[])).
% 11.68/7.70 tff(2003,plain,
% 11.68/7.70 (![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))))),
% 11.68/7.70 inference(quant_intro,[status(thm)],[2002])).
% 11.68/7.70 tff(2004,axiom,(![VarCurr: $i] : (v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 11.68/7.70 tff(2005,plain,
% 11.68/7.70 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 11.68/7.70 tff(2006,plain,
% 11.68/7.70 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[2005, 2001])).
% 11.68/7.70 tff(2007,plain,(
% 11.68/7.70 ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 11.68/7.70 inference(skolemize,[status(sab)],[2006])).
% 11.68/7.70 tff(2008,plain,
% 11.68/7.70 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[2007, 2000])).
% 11.68/7.70 tff(2009,plain,
% 11.68/7.70 (((~![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))))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(2010,plain,
% 11.68/7.70 ((~![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))))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(2011,plain,
% 11.68/7.70 ((~![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)))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 11.68/7.70 tff(2012,plain,
% 11.68/7.70 ((~v122(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2011, 2008])).
% 11.68/7.70 tff(2013,plain,
% 11.68/7.70 (![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2012, 1927])).
% 11.68/7.70 tff(2014,plain,
% 11.68/7.70 (((~![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)))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(2015,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b100(bitIndex2)))),
% 11.68/7.70 inference(quant_inst,[status(thm)],[])).
% 11.68/7.70 tff(2016,plain,
% 11.68/7.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b100(bitIndex2))),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 11.68/7.70 tff(2017,plain,
% 11.68/7.70 (v130(constB7, bitIndex2) <=> b100(bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2016, 579, 2013])).
% 11.68/7.70 tff(2018,plain,
% 11.68/7.70 (b100(bitIndex2) <=> b100(bitIndex2)),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.70 tff(2019,axiom,(b100(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_14')).
% 11.68/7.70 tff(2020,plain,
% 11.68/7.70 (b100(bitIndex2)),
% 11.68/7.70 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 11.68/7.70 tff(2021,plain,
% 11.68/7.70 ((~(v130(constB7, bitIndex2) <=> b100(bitIndex2))) | v130(constB7, bitIndex2) | (~b100(bitIndex2))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(2022,plain,
% 11.68/7.70 ((~(v130(constB7, bitIndex2) <=> b100(bitIndex2))) | v130(constB7, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2021, 2020])).
% 11.68/7.70 tff(2023,plain,
% 11.68/7.70 (v130(constB7, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2022, 2017])).
% 11.68/7.70 tff(2024,plain,
% 11.68/7.70 ((~(v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2))) | v127(constB7, bitIndex2) | (~v130(constB7, bitIndex2))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(2025,plain,
% 11.68/7.70 (v127(constB7, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2024, 2023, 1995])).
% 11.68/7.70 tff(2026,plain,
% 11.68/7.70 ((~(v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2))) | v129(constB8, bitIndex2) | (~v127(constB7, bitIndex2))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(2027,plain,
% 11.68/7.70 (v129(constB8, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2026, 2025, 1987])).
% 11.68/7.70 tff(2028,plain,
% 11.68/7.70 ((~(v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(2029,plain,
% 11.68/7.70 (v90(constB8, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2028, 2027, 1979])).
% 11.68/7.70 tff(2030,plain,
% 11.68/7.70 ((~(v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2))) | v90(constB9, bitIndex2) | (~v90(constB8, bitIndex2))),
% 11.68/7.70 inference(tautology,[status(thm)],[])).
% 11.68/7.70 tff(2031,plain,
% 11.68/7.70 (v90(constB9, bitIndex2)),
% 11.68/7.70 inference(unit_resolution,[status(thm)],[2030, 2029, 826])).
% 11.68/7.70 tff(2032,plain,
% 11.68/7.70 (((~![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)))),
% 11.68/7.70 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2033,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2034,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 11.68/7.71 tff(2035,plain,
% 11.68/7.71 (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2034, 1275, 822])).
% 11.68/7.71 tff(2036,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2037,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2038,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 11.68/7.71 tff(2039,plain,
% 11.68/7.71 (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2038, 1275, 1975])).
% 11.68/7.71 tff(2040,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2041,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2042,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 11.68/7.71 tff(2043,plain,
% 11.68/7.71 (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2042, 1275, 1983])).
% 11.68/7.71 tff(2044,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2045,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2046,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 11.68/7.71 tff(2047,plain,
% 11.68/7.71 (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2046, 1275, 1991])).
% 11.68/7.71 tff(2048,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2049,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b100(bitIndex0)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2050,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b100(bitIndex0))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 11.68/7.71 tff(2051,plain,
% 11.68/7.71 (v130(constB7, bitIndex0) <=> b100(bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2050, 1275, 2013])).
% 11.68/7.71 tff(2052,plain,
% 11.68/7.71 ((~b100(bitIndex0)) <=> (~b100(bitIndex0))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2053,axiom,(~b100(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_12')).
% 11.68/7.71 tff(2054,plain,
% 11.68/7.71 (~b100(bitIndex0)),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 11.68/7.71 tff(2055,plain,
% 11.68/7.71 ((~(v130(constB7, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB7, bitIndex0)) | b100(bitIndex0)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2056,plain,
% 11.68/7.71 ((~(v130(constB7, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB7, bitIndex0))),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2055, 2054])).
% 11.68/7.71 tff(2057,plain,
% 11.68/7.71 (~v130(constB7, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2056, 2051])).
% 11.68/7.71 tff(2058,plain,
% 11.68/7.71 ((~(v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0))) | (~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2059,plain,
% 11.68/7.71 (~v127(constB7, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2058, 2057, 2047])).
% 11.68/7.71 tff(2060,plain,
% 11.68/7.71 ((~(v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0))) | (~v129(constB8, bitIndex0)) | v127(constB7, bitIndex0)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2061,plain,
% 11.68/7.71 (~v129(constB8, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2060, 2059, 2043])).
% 11.68/7.71 tff(2062,plain,
% 11.68/7.71 ((~(v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2063,plain,
% 11.68/7.71 (~v90(constB8, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2062, 2061, 2039])).
% 11.68/7.71 tff(2064,plain,
% 11.68/7.71 ((~(v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0))) | (~v90(constB9, bitIndex0)) | v90(constB8, bitIndex0)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2065,plain,
% 11.68/7.71 (~v90(constB9, bitIndex0)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2064, 2063, 2035])).
% 11.68/7.71 tff(2066,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2067,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2068,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 11.68/7.71 tff(2069,plain,
% 11.68/7.71 (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2068, 1288, 822])).
% 11.68/7.71 tff(2070,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2071,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2072,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 11.68/7.71 tff(2073,plain,
% 11.68/7.71 (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2072, 1288, 1975])).
% 11.68/7.71 tff(2074,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2075,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2076,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 11.68/7.71 tff(2077,plain,
% 11.68/7.71 (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2076, 1288, 1983])).
% 11.68/7.71 tff(2078,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2079,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2080,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 11.68/7.71 tff(2081,plain,
% 11.68/7.71 (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2080, 1288, 1991])).
% 11.68/7.71 tff(2082,plain,
% 11.68/7.71 (((~![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)))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2083,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b100(bitIndex1)))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2084,plain,
% 11.68/7.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b100(bitIndex1))),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 11.68/7.71 tff(2085,plain,
% 11.68/7.71 (v130(constB7, bitIndex1) <=> b100(bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2084, 1288, 2013])).
% 11.68/7.71 tff(2086,plain,
% 11.68/7.71 ((~b100(bitIndex1)) <=> (~b100(bitIndex1))),
% 11.68/7.71 inference(rewrite,[status(thm)],[])).
% 11.68/7.71 tff(2087,axiom,(~b100(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_13')).
% 11.68/7.71 tff(2088,plain,
% 11.68/7.71 (~b100(bitIndex1)),
% 11.68/7.71 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 11.68/7.71 tff(2089,plain,
% 11.68/7.71 ((~(v130(constB7, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB7, bitIndex1)) | b100(bitIndex1)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2090,plain,
% 11.68/7.71 ((~(v130(constB7, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB7, bitIndex1))),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2089, 2088])).
% 11.68/7.71 tff(2091,plain,
% 11.68/7.71 (~v130(constB7, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2090, 2085])).
% 11.68/7.71 tff(2092,plain,
% 11.68/7.71 ((~(v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1))) | (~v127(constB7, bitIndex1)) | v130(constB7, bitIndex1)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2093,plain,
% 11.68/7.71 (~v127(constB7, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2092, 2091, 2081])).
% 11.68/7.71 tff(2094,plain,
% 11.68/7.71 ((~(v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1))) | (~v129(constB8, bitIndex1)) | v127(constB7, bitIndex1)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2095,plain,
% 11.68/7.71 (~v129(constB8, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2094, 2093, 2077])).
% 11.68/7.71 tff(2096,plain,
% 11.68/7.71 ((~(v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2097,plain,
% 11.68/7.71 (~v90(constB8, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2096, 2095, 2073])).
% 11.68/7.71 tff(2098,plain,
% 11.68/7.71 ((~(v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1))) | (~v90(constB9, bitIndex1)) | v90(constB8, bitIndex1)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2099,plain,
% 11.68/7.71 (~v90(constB9, bitIndex1)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2098, 2097, 2069])).
% 11.68/7.71 tff(2100,plain,
% 11.68/7.71 ((~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))) | (~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2101,plain,
% 11.68/7.71 (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2100, 2099, 2065, 2031])).
% 11.68/7.71 tff(2102,plain,
% 11.68/7.71 ((~(v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))) | v123(constB9) | ((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2103,plain,
% 11.68/7.71 (v123(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2102, 2101, 794])).
% 11.68/7.71 tff(2104,plain,
% 11.68/7.71 ((v116(constB9) | v123(constB9)) | (~v123(constB9))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2105,plain,
% 11.68/7.71 (v116(constB9) | v123(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2104, 2103])).
% 11.68/7.71 tff(2106,plain,
% 11.68/7.71 ((~(v115(constB9) <=> (v116(constB9) | v123(constB9)))) | v115(constB9) | (~(v116(constB9) | v123(constB9)))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2107,plain,
% 11.68/7.71 (v115(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2106, 2105, 774])).
% 11.68/7.71 tff(2108,plain,
% 11.68/7.71 ((v115(constB9) | v124(constB9)) | (~v115(constB9))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2109,plain,
% 11.68/7.71 (v115(constB9) | v124(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2108, 2107])).
% 11.68/7.71 tff(2110,plain,
% 11.68/7.71 ((~(v114(constB9) <=> (v115(constB9) | v124(constB9)))) | v114(constB9) | (~(v115(constB9) | v124(constB9)))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2111,plain,
% 11.68/7.71 (v114(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2110, 2109, 765])).
% 11.68/7.71 tff(2112,plain,
% 11.68/7.71 ((v114(constB9) | v125(constB9)) | (~v114(constB9))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2113,plain,
% 11.68/7.71 (v114(constB9) | v125(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2112, 2111])).
% 11.68/7.71 tff(2114,plain,
% 11.68/7.71 ((~(v113(constB9) <=> (v114(constB9) | v125(constB9)))) | v113(constB9) | (~(v114(constB9) | v125(constB9)))),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2115,plain,
% 11.68/7.71 (v113(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2114, 2113, 756])).
% 11.68/7.71 tff(2116,plain,
% 11.68/7.71 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB9)) <=> v111(constB9))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2117,plain,
% 11.68/7.71 ((~v126(constB9)) <=> v111(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2116, 1345])).
% 11.68/7.71 tff(2118,plain,
% 11.68/7.71 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2119,plain,
% 11.68/7.71 (v111(constB9) <=> v26(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2118, 1357])).
% 11.68/7.71 tff(2120,plain,
% 11.68/7.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 11.68/7.71 inference(quant_inst,[status(thm)],[])).
% 11.68/7.71 tff(2121,plain,
% 11.68/7.71 (~v26(constB9)),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2120, 1369])).
% 11.68/7.71 tff(2122,plain,
% 11.68/7.71 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 11.68/7.71 inference(tautology,[status(thm)],[])).
% 11.68/7.71 tff(2123,plain,
% 11.68/7.71 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 11.68/7.71 inference(unit_resolution,[status(thm)],[2122, 2121])).
% 11.68/7.72 tff(2124,plain,
% 11.68/7.72 (~v111(constB9)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2123, 2119])).
% 11.68/7.72 tff(2125,plain,
% 11.68/7.72 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9) | v111(constB9)),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2126,plain,
% 11.68/7.72 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2125, 2124])).
% 11.68/7.72 tff(2127,plain,
% 11.68/7.72 (v126(constB9)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2126, 2117])).
% 11.68/7.72 tff(2128,plain,
% 11.68/7.72 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9)) | (~v126(constB9))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2129,plain,
% 11.68/7.72 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9))),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2128, 2127])).
% 11.68/7.72 tff(2130,plain,
% 11.68/7.72 (~((~v113(constB9)) | (~v126(constB9)))),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2129, 2115])).
% 11.68/7.72 tff(2131,plain,
% 11.68/7.72 ((~(v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))) | v112(constB9) | ((~v113(constB9)) | (~v126(constB9)))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2132,plain,
% 11.68/7.72 (v112(constB9)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2131, 2130, 747])).
% 11.68/7.72 tff(2133,plain,
% 11.68/7.72 ((v111(constB9) | v112(constB9)) | (~v112(constB9))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2134,plain,
% 11.68/7.72 (v111(constB9) | v112(constB9)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2133, 2132])).
% 11.68/7.72 tff(2135,plain,
% 11.68/7.72 ((~(v108(constB9) <=> (v111(constB9) | v112(constB9)))) | v108(constB9) | (~(v111(constB9) | v112(constB9)))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2136,plain,
% 11.68/7.72 (v108(constB9)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2135, 2134, 735])).
% 11.68/7.72 tff(2137,plain,
% 11.68/7.72 ((~(v110(constB10) <=> v108(constB9))) | v110(constB10) | (~v108(constB9))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2138,plain,
% 11.68/7.72 (v110(constB10)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2137, 2136, 726])).
% 11.68/7.72 tff(2139,plain,
% 11.68/7.72 ((~((~v101(constB10)) | (~v110(constB10)))) | (~v101(constB10)) | (~v110(constB10))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2140,plain,
% 11.68/7.72 (~((~v101(constB10)) | (~v110(constB10)))),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2139, 2138, 712])).
% 11.68/7.72 tff(2141,plain,
% 11.68/7.72 ((~(v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))) | v100(constB10) | ((~v101(constB10)) | (~v110(constB10)))),
% 11.68/7.72 inference(tautology,[status(thm)],[])).
% 11.68/7.72 tff(2142,plain,
% 11.68/7.72 (v100(constB10)),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2141, 2140, 661])).
% 11.68/7.72 tff(2143,plain,
% 11.68/7.72 (((~![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))))),
% 11.68/7.72 inference(rewrite,[status(thm)],[])).
% 11.68/7.72 tff(2144,plain,
% 11.68/7.72 ((~![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))))),
% 11.68/7.72 inference(quant_inst,[status(thm)],[])).
% 11.68/7.72 tff(2145,plain,
% 11.68/7.72 ((~![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)))),
% 11.68/7.72 inference(modus_ponens,[status(thm)],[2144, 2143])).
% 11.68/7.72 tff(2146,plain,
% 11.68/7.72 ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2145, 1405])).
% 11.68/7.72 tff(2147,plain,
% 11.68/7.72 (![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 11.68/7.72 inference(unit_resolution,[status(thm)],[2146, 2142])).
% 11.68/7.72 tff(2148,plain,
% 11.68/7.72 (((~![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)))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2149,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2150,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 11.72/7.72 tff(2151,plain,
% 11.72/7.72 (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2150, 579, 2147])).
% 11.72/7.72 tff(2152,plain,
% 11.72/7.72 (((~![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))))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2153,plain,
% 11.72/7.72 ((~![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))))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2154,plain,
% 11.72/7.72 ((~![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)))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2153, 2152])).
% 11.72/7.72 tff(2155,plain,
% 11.72/7.72 (![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2154, 657, 1427])).
% 11.72/7.72 tff(2156,plain,
% 11.72/7.72 (((~![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)))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2157,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2158,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 11.72/7.72 tff(2159,plain,
% 11.72/7.72 (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2158, 579, 2155])).
% 11.72/7.72 tff(2160,plain,
% 11.72/7.72 (((~![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))))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2161,plain,
% 11.72/7.72 ((~![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))))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2162,plain,
% 11.72/7.72 ((~![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)))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2161, 2160])).
% 11.72/7.72 tff(2163,plain,
% 11.72/7.72 (![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2162, 1448, 2124])).
% 11.72/7.72 tff(2164,plain,
% 11.72/7.72 (((~![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)))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2165,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2166,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 11.72/7.72 tff(2167,plain,
% 11.72/7.72 (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2166, 579, 2163])).
% 11.72/7.72 tff(2168,plain,
% 11.72/7.72 (^[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)))))),
% 11.72/7.72 inference(bind,[status(th)],[])).
% 11.72/7.72 tff(2169,plain,
% 11.72/7.72 (![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))))),
% 11.72/7.72 inference(quant_intro,[status(thm)],[2168])).
% 11.72/7.72 tff(2170,plain,
% 11.72/7.72 (^[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)))))),
% 11.72/7.72 inference(bind,[status(th)],[])).
% 11.72/7.72 tff(2171,plain,
% 11.72/7.72 (![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))))),
% 11.72/7.72 inference(quant_intro,[status(thm)],[2170])).
% 11.72/7.72 tff(2172,plain,
% 11.72/7.72 (![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))))),
% 11.72/7.72 inference(transitivity,[status(thm)],[2171, 2169])).
% 11.72/7.72 tff(2173,plain,
% 11.72/7.72 (![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))))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2174,plain,
% 11.72/7.72 (^[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))))))),
% 11.72/7.72 inference(bind,[status(th)],[])).
% 11.72/7.72 tff(2175,plain,
% 11.72/7.72 (![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))))),
% 11.72/7.72 inference(quant_intro,[status(thm)],[2174])).
% 11.72/7.72 tff(2176,axiom,(![VarCurr: $i] : (v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b101(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 11.72/7.72 tff(2177,plain,
% 11.72/7.72 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 11.72/7.72 tff(2178,plain,
% 11.72/7.72 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2177, 2173])).
% 11.72/7.72 tff(2179,plain,(
% 11.72/7.72 ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 11.72/7.72 inference(skolemize,[status(sab)],[2178])).
% 11.72/7.72 tff(2180,plain,
% 11.72/7.72 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2179, 2172])).
% 11.72/7.72 tff(2181,plain,
% 11.72/7.72 (((~![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))))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2182,plain,
% 11.72/7.72 ((~![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))))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2183,plain,
% 11.72/7.72 ((~![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)))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 11.72/7.72 tff(2184,plain,
% 11.72/7.72 ((~v123(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2183, 2180])).
% 11.72/7.72 tff(2185,plain,
% 11.72/7.72 (![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2184, 2103])).
% 11.72/7.72 tff(2186,plain,
% 11.72/7.72 (((~![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)))),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2187,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b101(bitIndex2)))),
% 11.72/7.72 inference(quant_inst,[status(thm)],[])).
% 11.72/7.72 tff(2188,plain,
% 11.72/7.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b101(bitIndex2))),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 11.72/7.72 tff(2189,plain,
% 11.72/7.72 (v130(constB9, bitIndex2) <=> b101(bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2188, 579, 2185])).
% 11.72/7.72 tff(2190,plain,
% 11.72/7.72 (b101(bitIndex2) <=> b101(bitIndex2)),
% 11.72/7.72 inference(rewrite,[status(thm)],[])).
% 11.72/7.72 tff(2191,axiom,(b101(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_17')).
% 11.72/7.72 tff(2192,plain,
% 11.72/7.72 (b101(bitIndex2)),
% 11.72/7.72 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 11.72/7.72 tff(2193,plain,
% 11.72/7.72 ((~(v130(constB9, bitIndex2) <=> b101(bitIndex2))) | v130(constB9, bitIndex2) | (~b101(bitIndex2))),
% 11.72/7.72 inference(tautology,[status(thm)],[])).
% 11.72/7.72 tff(2194,plain,
% 11.72/7.72 ((~(v130(constB9, bitIndex2) <=> b101(bitIndex2))) | v130(constB9, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2193, 2192])).
% 11.72/7.72 tff(2195,plain,
% 11.72/7.72 (v130(constB9, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2194, 2189])).
% 11.72/7.72 tff(2196,plain,
% 11.72/7.72 ((~(v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2))) | v127(constB9, bitIndex2) | (~v130(constB9, bitIndex2))),
% 11.72/7.72 inference(tautology,[status(thm)],[])).
% 11.72/7.72 tff(2197,plain,
% 11.72/7.72 (v127(constB9, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2196, 2195, 2167])).
% 11.72/7.72 tff(2198,plain,
% 11.72/7.72 ((~(v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2))) | v129(constB10, bitIndex2) | (~v127(constB9, bitIndex2))),
% 11.72/7.72 inference(tautology,[status(thm)],[])).
% 11.72/7.72 tff(2199,plain,
% 11.72/7.72 (v129(constB10, bitIndex2)),
% 11.72/7.72 inference(unit_resolution,[status(thm)],[2198, 2197, 2159])).
% 11.72/7.73 tff(2200,plain,
% 11.72/7.73 ((~(v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2201,plain,
% 11.72/7.73 (v90(constB10, bitIndex2)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2200, 2199, 2151])).
% 11.72/7.73 tff(2202,plain,
% 11.72/7.73 ((~(v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2))) | v90(constB11, bitIndex2) | (~v90(constB10, bitIndex2))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2203,plain,
% 11.72/7.73 (v90(constB11, bitIndex2)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2202, 2201, 654])).
% 11.72/7.73 tff(2204,plain,
% 11.72/7.73 ((~(v88(constB11, bitIndex2) <=> v90(constB11, bitIndex2))) | v88(constB11, bitIndex2) | (~v90(constB11, bitIndex2))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2205,plain,
% 11.72/7.73 (v88(constB11, bitIndex2)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2204, 2203, 583])).
% 11.72/7.73 tff(2206,plain,
% 11.72/7.73 ((v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0))) | (~v88(constB11, bitIndex2))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2207,plain,
% 11.72/7.73 (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0))),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2206, 2205])).
% 11.72/7.73 tff(2208,plain,
% 11.72/7.73 ((~(v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)))))) | (~v141(constB11)) | (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0))))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2209,plain,
% 11.72/7.73 (~v141(constB11)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2208, 2207, 566])).
% 11.72/7.73 tff(2210,plain,
% 11.72/7.73 (^[VarCurr: $i] : refl((v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2211,plain,
% 11.72/7.73 (![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2210])).
% 11.72/7.73 tff(2212,plain,
% 11.72/7.73 (![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 11.72/7.73 inference(rewrite,[status(thm)],[])).
% 11.72/7.73 tff(2213,axiom,(![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_41')).
% 11.72/7.73 tff(2214,plain,
% 11.72/7.73 (![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 11.72/7.73 tff(2215,plain,(
% 11.72/7.73 ![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 11.72/7.73 inference(skolemize,[status(sab)],[2214])).
% 11.72/7.73 tff(2216,plain,
% 11.72/7.73 (![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2215, 2211])).
% 11.72/7.73 tff(2217,plain,
% 11.72/7.73 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB11) <=> (v139(constB11) | v140(constB11)))),
% 11.72/7.73 inference(quant_inst,[status(thm)],[])).
% 11.72/7.73 tff(2218,plain,
% 11.72/7.73 (v170(constB11) <=> (v139(constB11) | v140(constB11))),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2217, 2216])).
% 11.72/7.73 tff(2219,plain,
% 11.72/7.73 (^[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)))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2220,plain,
% 11.72/7.73 (![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))))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2219])).
% 11.72/7.73 tff(2221,plain,
% 11.72/7.73 (^[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)))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2222,plain,
% 11.72/7.73 (![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))))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2221])).
% 11.72/7.73 tff(2223,plain,
% 11.72/7.73 (![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))))),
% 11.72/7.73 inference(rewrite,[status(thm)],[])).
% 11.72/7.73 tff(2224,plain,
% 11.72/7.73 (^[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)))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2225,plain,
% 11.72/7.73 (![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))))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2224])).
% 11.72/7.73 tff(2226,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')).
% 11.72/7.73 tff(2227,plain,
% 11.72/7.73 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 11.72/7.73 tff(2228,plain,
% 11.72/7.73 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2227, 2223])).
% 11.72/7.73 tff(2229,plain,(
% 11.72/7.73 ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 11.72/7.73 inference(skolemize,[status(sab)],[2228])).
% 11.72/7.73 tff(2230,plain,
% 11.72/7.73 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2229, 2222])).
% 11.72/7.73 tff(2231,plain,
% 11.72/7.73 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2230, 2220])).
% 11.72/7.73 tff(2232,plain,
% 11.72/7.73 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB11) <=> (~(v88(constB11, bitIndex0) | v88(constB11, bitIndex1) | v88(constB11, bitIndex2))))),
% 11.72/7.73 inference(quant_inst,[status(thm)],[])).
% 11.72/7.73 tff(2233,plain,
% 11.72/7.73 (v139(constB11) <=> (~(v88(constB11, bitIndex0) | v88(constB11, bitIndex1) | v88(constB11, bitIndex2)))),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2232, 2231])).
% 11.72/7.73 tff(2234,plain,
% 11.72/7.73 ((v88(constB11, bitIndex0) | v88(constB11, bitIndex1) | v88(constB11, bitIndex2)) | (~v88(constB11, bitIndex2))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2235,plain,
% 11.72/7.73 (v88(constB11, bitIndex0) | v88(constB11, bitIndex1) | v88(constB11, bitIndex2)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2234, 2205])).
% 11.72/7.73 tff(2236,plain,
% 11.72/7.73 ((~(v139(constB11) <=> (~(v88(constB11, bitIndex0) | v88(constB11, bitIndex1) | v88(constB11, bitIndex2))))) | (~v139(constB11)) | (~(v88(constB11, bitIndex0) | v88(constB11, bitIndex1) | v88(constB11, bitIndex2)))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2237,plain,
% 11.72/7.73 (~v139(constB11)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2236, 2235, 2233])).
% 11.72/7.73 tff(2238,plain,
% 11.72/7.73 (^[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))))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2239,plain,
% 11.72/7.73 (![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)))))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2238])).
% 11.72/7.73 tff(2240,plain,
% 11.72/7.73 (^[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))))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2241,plain,
% 11.72/7.73 (![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)))))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2240])).
% 11.72/7.73 tff(2242,plain,
% 11.72/7.73 (![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)))),
% 11.72/7.73 inference(rewrite,[status(thm)],[])).
% 11.72/7.73 tff(2243,plain,
% 11.72/7.73 (^[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))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2244,plain,
% 11.72/7.73 (![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)))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2243])).
% 11.72/7.73 tff(2245,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')).
% 11.72/7.73 tff(2246,plain,
% 11.72/7.73 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 11.72/7.73 tff(2247,plain,
% 11.72/7.73 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2246, 2242])).
% 11.72/7.73 tff(2248,plain,(
% 11.72/7.73 ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.73 inference(skolemize,[status(sab)],[2247])).
% 11.72/7.73 tff(2249,plain,
% 11.72/7.73 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2248, 2241])).
% 11.72/7.73 tff(2250,plain,
% 11.72/7.73 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2249, 2239])).
% 11.72/7.73 tff(2251,plain,
% 11.72/7.73 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))))),
% 11.72/7.73 inference(rewrite,[status(thm)],[])).
% 11.72/7.73 tff(2252,plain,
% 11.72/7.73 ((v140(constB11) <=> (~(v88(constB11, bitIndex1) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0))))) <=> (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))),
% 11.72/7.73 inference(rewrite,[status(thm)],[])).
% 11.72/7.73 tff(2253,plain,
% 11.72/7.73 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex1) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))))),
% 11.72/7.73 inference(monotonicity,[status(thm)],[2252])).
% 11.72/7.73 tff(2254,plain,
% 11.72/7.73 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex1) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))))),
% 11.72/7.73 inference(transitivity,[status(thm)],[2253, 2251])).
% 11.72/7.73 tff(2255,plain,
% 11.72/7.73 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex1) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))),
% 11.72/7.73 inference(quant_inst,[status(thm)],[])).
% 11.72/7.73 tff(2256,plain,
% 11.72/7.73 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))),
% 11.72/7.73 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 11.72/7.73 tff(2257,plain,
% 11.72/7.73 (v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2256, 2250])).
% 11.72/7.73 tff(2258,plain,
% 11.72/7.73 ((v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))) | (~v88(constB11, bitIndex2))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2259,plain,
% 11.72/7.73 (v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2258, 2205])).
% 11.72/7.73 tff(2260,plain,
% 11.72/7.73 ((~(v140(constB11) <=> (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))) | (~v140(constB11)) | (~(v88(constB11, bitIndex2) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2261,plain,
% 11.72/7.73 (~v140(constB11)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2260, 2259, 2257])).
% 11.72/7.73 tff(2262,plain,
% 11.72/7.73 ((~(v139(constB11) | v140(constB11))) | v139(constB11) | v140(constB11)),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2263,plain,
% 11.72/7.73 (~(v139(constB11) | v140(constB11))),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2262, 2261, 2237])).
% 11.72/7.73 tff(2264,plain,
% 11.72/7.73 ((~(v170(constB11) <=> (v139(constB11) | v140(constB11)))) | (~v170(constB11)) | (v139(constB11) | v140(constB11))),
% 11.72/7.73 inference(tautology,[status(thm)],[])).
% 11.72/7.73 tff(2265,plain,
% 11.72/7.73 (~v170(constB11)),
% 11.72/7.73 inference(unit_resolution,[status(thm)],[2264, 2263, 2218])).
% 11.72/7.73 tff(2266,plain,
% 11.72/7.73 (^[VarCurr: $i] : refl((v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))))),
% 11.72/7.73 inference(bind,[status(th)],[])).
% 11.72/7.73 tff(2267,plain,
% 11.72/7.73 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 11.72/7.73 inference(quant_intro,[status(thm)],[2266])).
% 11.72/7.73 tff(2268,plain,
% 11.72/7.73 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v170(VarCurr)) & (~v141(VarCurr))) <=> (~(v141(VarCurr) | v170(VarCurr)))), ((~((~v170(VarCurr)) & (~v141(VarCurr)))) <=> (~(~(v141(VarCurr) | v170(VarCurr)))))), rewrite((~(~(v141(VarCurr) | v170(VarCurr)))) <=> (v141(VarCurr) | v170(VarCurr))), ((~((~v170(VarCurr)) & (~v141(VarCurr)))) <=> (v141(VarCurr) | v170(VarCurr)))), (((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr))))) <=> ((~v169(VarCurr)) | (v141(VarCurr) | v170(VarCurr))))), rewrite(((~v169(VarCurr)) | (v141(VarCurr) | v170(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))), (((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr))))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2269,plain,
% 11.72/7.74 (![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr))))) <=> ![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2268])).
% 11.72/7.74 tff(2270,plain,
% 11.72/7.74 (![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr))))) <=> ![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2271,plain,
% 11.72/7.74 (^[VarCurr: $i] : trans(monotonicity(rewrite((v169(VarCurr) <=> $false) <=> (~v169(VarCurr))), ((((~v170(VarCurr)) & (~v141(VarCurr))) => (v169(VarCurr) <=> $false)) <=> (((~v170(VarCurr)) & (~v141(VarCurr))) => (~v169(VarCurr))))), rewrite((((~v170(VarCurr)) & (~v141(VarCurr))) => (~v169(VarCurr))) <=> ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))), ((((~v170(VarCurr)) & (~v141(VarCurr))) => (v169(VarCurr) <=> $false)) <=> ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2272,plain,
% 11.72/7.74 (![VarCurr: $i] : (((~v170(VarCurr)) & (~v141(VarCurr))) => (v169(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2271])).
% 11.72/7.74 tff(2273,axiom,(![VarCurr: $i] : (((~v170(VarCurr)) & (~v141(VarCurr))) => (v169(VarCurr) <=> $false))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1')).
% 11.72/7.74 tff(2274,plain,
% 11.72/7.74 (![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 11.72/7.74 tff(2275,plain,
% 11.72/7.74 (![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2274, 2270])).
% 11.72/7.74 tff(2276,plain,(
% 11.72/7.74 ![VarCurr: $i] : ((~v169(VarCurr)) | (~((~v170(VarCurr)) & (~v141(VarCurr)))))),
% 11.72/7.74 inference(skolemize,[status(sab)],[2275])).
% 11.72/7.74 tff(2277,plain,
% 11.72/7.74 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2276, 2269])).
% 11.72/7.74 tff(2278,plain,
% 11.72/7.74 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2277, 2267])).
% 11.72/7.74 tff(2279,plain,
% 11.72/7.74 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB11) | v170(constB11) | (~v169(constB11)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB11) | v170(constB11) | (~v169(constB11)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2280,plain,
% 11.72/7.74 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB11) | v170(constB11) | (~v169(constB11)))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2281,plain,
% 11.72/7.74 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB11) | v170(constB11) | (~v169(constB11))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 11.72/7.74 tff(2282,plain,
% 11.72/7.74 (v141(constB11) | v170(constB11) | (~v169(constB11))),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2281, 2278])).
% 11.72/7.74 tff(2283,plain,
% 11.72/7.74 (~v169(constB11)),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2282, 2265, 2209])).
% 11.72/7.74 tff(2284,plain,
% 11.72/7.74 (^[VarCurr: $i] : refl((v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr))) <=> (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2285,plain,
% 11.72/7.74 (![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2284])).
% 11.72/7.74 tff(2286,plain,
% 11.72/7.74 (![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2287,plain,
% 11.72/7.74 (^[VarCurr: $i] : rewrite((v165(VarCurr) <=> (v166(VarCurr) | v145(VarCurr))) <=> (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2288,plain,
% 11.72/7.74 (![VarCurr: $i] : (v165(VarCurr) <=> (v166(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2287])).
% 11.72/7.74 tff(2289,axiom,(![VarCurr: $i] : (v165(VarCurr) <=> (v166(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_40')).
% 11.72/7.74 tff(2290,plain,
% 11.72/7.74 (![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 11.72/7.74 tff(2291,plain,
% 11.72/7.74 (![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2290, 2286])).
% 11.72/7.74 tff(2292,plain,(
% 11.72/7.74 ![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(skolemize,[status(sab)],[2291])).
% 11.72/7.74 tff(2293,plain,
% 11.72/7.74 (![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2292, 2285])).
% 11.72/7.74 tff(2294,plain,
% 11.72/7.74 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB11) <=> (v145(constB11) | v166(constB11)))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2295,plain,
% 11.72/7.74 (v165(constB11) <=> (v145(constB11) | v166(constB11))),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2294, 2293])).
% 11.72/7.74 tff(2296,plain,
% 11.72/7.74 (^[VarCurr: $i] : refl((v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2297,plain,
% 11.72/7.74 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2296])).
% 11.72/7.74 tff(2298,plain,
% 11.72/7.74 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2299,axiom,(![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_32')).
% 11.72/7.74 tff(2300,plain,
% 11.72/7.74 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 11.72/7.74 tff(2301,plain,(
% 11.72/7.74 ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 11.72/7.74 inference(skolemize,[status(sab)],[2300])).
% 11.72/7.74 tff(2302,plain,
% 11.72/7.74 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2301, 2297])).
% 11.72/7.74 tff(2303,plain,
% 11.72/7.74 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB11) <=> (v146(constB11) | v147(constB11)))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2304,plain,
% 11.72/7.74 (v145(constB11) <=> (v146(constB11) | v147(constB11))),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2303, 2302])).
% 11.72/7.74 tff(2305,plain,
% 11.72/7.74 (^[VarCurr: $i] : refl((v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))) <=> (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2306,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2305])).
% 11.72/7.74 tff(2307,plain,
% 11.72/7.74 (^[VarCurr: $i] : rewrite((v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2308,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2307])).
% 11.72/7.74 tff(2309,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2310,plain,
% 11.72/7.74 (^[VarCurr: $i] : rewrite((v147(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))))),
% 11.72/7.74 inference(bind,[status(th)],[])).
% 11.72/7.74 tff(2311,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.74 inference(quant_intro,[status(thm)],[2310])).
% 11.72/7.74 tff(2312,axiom,(![VarCurr: $i] : (v147(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15')).
% 11.72/7.74 tff(2313,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 11.72/7.74 tff(2314,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2313, 2309])).
% 11.72/7.74 tff(2315,plain,(
% 11.72/7.74 ![VarCurr: $i] : (v147(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 11.72/7.74 inference(skolemize,[status(sab)],[2314])).
% 11.72/7.74 tff(2316,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2315, 2308])).
% 11.72/7.74 tff(2317,plain,
% 11.72/7.74 (![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2316, 2306])).
% 11.72/7.74 tff(2318,plain,
% 11.72/7.74 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2319,plain,
% 11.72/7.74 ((v147(constB11) <=> (~(v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | (~v88(constB11, bitIndex2))))) <=> (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2320,plain,
% 11.72/7.74 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~(v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | (~v88(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))))),
% 11.72/7.74 inference(monotonicity,[status(thm)],[2319])).
% 11.72/7.74 tff(2321,plain,
% 11.72/7.74 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~(v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | (~v88(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))))),
% 11.72/7.74 inference(transitivity,[status(thm)],[2320, 2318])).
% 11.72/7.74 tff(2322,plain,
% 11.72/7.74 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~(v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | (~v88(constB11, bitIndex2)))))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2323,plain,
% 11.72/7.74 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 11.72/7.74 tff(2324,plain,
% 11.72/7.74 (v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2323, 2317])).
% 11.72/7.74 tff(2325,plain,
% 11.72/7.74 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB11, bitIndex0) <=> v90(constB11, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB11, bitIndex0) <=> v90(constB11, bitIndex0)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2326,plain,
% 11.72/7.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB11, bitIndex0) <=> v90(constB11, bitIndex0)))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2327,plain,
% 11.72/7.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB11, bitIndex0) <=> v90(constB11, bitIndex0))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 11.72/7.74 tff(2328,plain,
% 11.72/7.74 (v88(constB11, bitIndex0) <=> v90(constB11, bitIndex0)),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2327, 1275, 576])).
% 11.72/7.74 tff(2329,plain,
% 11.72/7.74 (((~![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)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2330,plain,
% 11.72/7.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2331,plain,
% 11.72/7.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 11.72/7.74 tff(2332,plain,
% 11.72/7.74 (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)),
% 11.72/7.74 inference(unit_resolution,[status(thm)],[2331, 1275, 650])).
% 11.72/7.74 tff(2333,plain,
% 11.72/7.74 (((~![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)))),
% 11.72/7.74 inference(rewrite,[status(thm)],[])).
% 11.72/7.74 tff(2334,plain,
% 11.72/7.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))),
% 11.72/7.74 inference(quant_inst,[status(thm)],[])).
% 11.72/7.74 tff(2335,plain,
% 11.72/7.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0))),
% 11.72/7.74 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 11.72/7.74 tff(2336,plain,
% 11.72/7.74 (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2335, 1275, 2147])).
% 11.72/7.75 tff(2337,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2338,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2339,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2338, 2337])).
% 11.72/7.75 tff(2340,plain,
% 11.72/7.75 (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2339, 1275, 2155])).
% 11.72/7.75 tff(2341,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2342,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2343,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2342, 2341])).
% 11.72/7.75 tff(2344,plain,
% 11.72/7.75 (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2343, 1275, 2163])).
% 11.72/7.75 tff(2345,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2346,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b101(bitIndex0)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2347,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b101(bitIndex0))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 11.72/7.75 tff(2348,plain,
% 11.72/7.75 (v130(constB9, bitIndex0) <=> b101(bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2347, 1275, 2185])).
% 11.72/7.75 tff(2349,plain,
% 11.72/7.75 (b101(bitIndex0) <=> b101(bitIndex0)),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2350,axiom,(b101(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_15')).
% 11.72/7.75 tff(2351,plain,
% 11.72/7.75 (b101(bitIndex0)),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 11.72/7.75 tff(2352,plain,
% 11.72/7.75 ((~(v130(constB9, bitIndex0) <=> b101(bitIndex0))) | v130(constB9, bitIndex0) | (~b101(bitIndex0))),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2353,plain,
% 11.72/7.75 ((~(v130(constB9, bitIndex0) <=> b101(bitIndex0))) | v130(constB9, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2352, 2351])).
% 11.72/7.75 tff(2354,plain,
% 11.72/7.75 (v130(constB9, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2353, 2348])).
% 11.72/7.75 tff(2355,plain,
% 11.72/7.75 ((~(v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0))) | v127(constB9, bitIndex0) | (~v130(constB9, bitIndex0))),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2356,plain,
% 11.72/7.75 (v127(constB9, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2355, 2354, 2344])).
% 11.72/7.75 tff(2357,plain,
% 11.72/7.75 ((~(v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0))) | v129(constB10, bitIndex0) | (~v127(constB9, bitIndex0))),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2358,plain,
% 11.72/7.75 (v129(constB10, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2357, 2356, 2340])).
% 11.72/7.75 tff(2359,plain,
% 11.72/7.75 ((~(v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2360,plain,
% 11.72/7.75 (v90(constB10, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2359, 2358, 2336])).
% 11.72/7.75 tff(2361,plain,
% 11.72/7.75 ((~(v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0))) | v90(constB11, bitIndex0) | (~v90(constB10, bitIndex0))),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2362,plain,
% 11.72/7.75 (v90(constB11, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2361, 2360, 2332])).
% 11.72/7.75 tff(2363,plain,
% 11.72/7.75 ((~(v88(constB11, bitIndex0) <=> v90(constB11, bitIndex0))) | v88(constB11, bitIndex0) | (~v90(constB11, bitIndex0))),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2364,plain,
% 11.72/7.75 (v88(constB11, bitIndex0)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2363, 2362, 2328])).
% 11.72/7.75 tff(2365,plain,
% 11.72/7.75 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB11, bitIndex1) <=> v90(constB11, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB11, bitIndex1) <=> v90(constB11, bitIndex1)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2366,plain,
% 11.72/7.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB11, bitIndex1) <=> v90(constB11, bitIndex1)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2367,plain,
% 11.72/7.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB11, bitIndex1) <=> v90(constB11, bitIndex1))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 11.72/7.75 tff(2368,plain,
% 11.72/7.75 (v88(constB11, bitIndex1) <=> v90(constB11, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2367, 1288, 576])).
% 11.72/7.75 tff(2369,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2370,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2371,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 11.72/7.75 tff(2372,plain,
% 11.72/7.75 (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2371, 1288, 650])).
% 11.72/7.75 tff(2373,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2374,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2375,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 11.72/7.75 tff(2376,plain,
% 11.72/7.75 (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2375, 1288, 2147])).
% 11.72/7.75 tff(2377,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2378,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2379,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 11.72/7.75 tff(2380,plain,
% 11.72/7.75 (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2379, 1288, 2155])).
% 11.72/7.75 tff(2381,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2382,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2383,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2382, 2381])).
% 11.72/7.75 tff(2384,plain,
% 11.72/7.75 (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2383, 1288, 2163])).
% 11.72/7.75 tff(2385,plain,
% 11.72/7.75 (((~![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)))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2386,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b101(bitIndex1)))),
% 11.72/7.75 inference(quant_inst,[status(thm)],[])).
% 11.72/7.75 tff(2387,plain,
% 11.72/7.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b101(bitIndex1))),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2386, 2385])).
% 11.72/7.75 tff(2388,plain,
% 11.72/7.75 (v130(constB9, bitIndex1) <=> b101(bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2387, 1288, 2185])).
% 11.72/7.75 tff(2389,plain,
% 11.72/7.75 ((~b101(bitIndex1)) <=> (~b101(bitIndex1))),
% 11.72/7.75 inference(rewrite,[status(thm)],[])).
% 11.72/7.75 tff(2390,axiom,(~b101(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_16')).
% 11.72/7.75 tff(2391,plain,
% 11.72/7.75 (~b101(bitIndex1)),
% 11.72/7.75 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 11.72/7.75 tff(2392,plain,
% 11.72/7.75 ((~(v130(constB9, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB9, bitIndex1)) | b101(bitIndex1)),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2393,plain,
% 11.72/7.75 ((~(v130(constB9, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB9, bitIndex1))),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2392, 2391])).
% 11.72/7.75 tff(2394,plain,
% 11.72/7.75 (~v130(constB9, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2393, 2388])).
% 11.72/7.75 tff(2395,plain,
% 11.72/7.75 ((~(v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1))) | (~v127(constB9, bitIndex1)) | v130(constB9, bitIndex1)),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.72/7.75 tff(2396,plain,
% 11.72/7.75 (~v127(constB9, bitIndex1)),
% 11.72/7.75 inference(unit_resolution,[status(thm)],[2395, 2394, 2384])).
% 11.72/7.75 tff(2397,plain,
% 11.72/7.75 ((~(v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1))) | (~v129(constB10, bitIndex1)) | v127(constB9, bitIndex1)),
% 11.72/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2398,plain,
% 11.75/7.75 (~v129(constB10, bitIndex1)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2397, 2396, 2380])).
% 11.75/7.75 tff(2399,plain,
% 11.75/7.75 ((~(v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1)),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2400,plain,
% 11.75/7.75 (~v90(constB10, bitIndex1)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2399, 2398, 2376])).
% 11.75/7.75 tff(2401,plain,
% 11.75/7.75 ((~(v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1))) | (~v90(constB11, bitIndex1)) | v90(constB10, bitIndex1)),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2402,plain,
% 11.75/7.75 (~v90(constB11, bitIndex1)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2401, 2400, 2372])).
% 11.75/7.75 tff(2403,plain,
% 11.75/7.75 ((~(v88(constB11, bitIndex1) <=> v90(constB11, bitIndex1))) | (~v88(constB11, bitIndex1)) | v90(constB11, bitIndex1)),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2404,plain,
% 11.75/7.75 (~v88(constB11, bitIndex1)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2403, 2402, 2368])).
% 11.75/7.75 tff(2405,plain,
% 11.75/7.75 ((~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2406,plain,
% 11.75/7.75 (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2405, 2404, 2364, 2205])).
% 11.75/7.75 tff(2407,plain,
% 11.75/7.75 ((~(v147(constB11) <=> (~((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))))) | v147(constB11) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2408,plain,
% 11.75/7.75 (v147(constB11)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2407, 2406, 2324])).
% 11.75/7.75 tff(2409,plain,
% 11.75/7.75 ((v146(constB11) | v147(constB11)) | (~v147(constB11))),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2410,plain,
% 11.75/7.75 (v146(constB11) | v147(constB11)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2409, 2408])).
% 11.75/7.75 tff(2411,plain,
% 11.75/7.75 ((~(v145(constB11) <=> (v146(constB11) | v147(constB11)))) | v145(constB11) | (~(v146(constB11) | v147(constB11)))),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2412,plain,
% 11.75/7.75 (v145(constB11)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2411, 2410, 2304])).
% 11.75/7.75 tff(2413,plain,
% 11.75/7.75 ((v145(constB11) | v166(constB11)) | (~v145(constB11))),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2414,plain,
% 11.75/7.75 (v145(constB11) | v166(constB11)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2413, 2412])).
% 11.75/7.75 tff(2415,plain,
% 11.75/7.75 ((~(v165(constB11) <=> (v145(constB11) | v166(constB11)))) | v165(constB11) | (~(v145(constB11) | v166(constB11)))),
% 11.75/7.75 inference(tautology,[status(thm)],[])).
% 11.75/7.75 tff(2416,plain,
% 11.75/7.75 (v165(constB11)),
% 11.75/7.75 inference(unit_resolution,[status(thm)],[2415, 2414, 2295])).
% 11.75/7.75 tff(2417,plain,
% 11.75/7.75 (^[VarNext: $i] : refl(((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext))) <=> ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext))))),
% 11.75/7.75 inference(bind,[status(th)],[])).
% 11.75/7.75 tff(2418,plain,
% 11.75/7.75 (![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.75 inference(quant_intro,[status(thm)],[2417])).
% 11.75/7.75 tff(2419,plain,
% 11.75/7.75 (![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.75 inference(rewrite,[status(thm)],[])).
% 11.75/7.75 tff(2420,plain,
% 11.75/7.75 (^[VarNext: $i] : rewrite((v165(VarNext) => (v162(VarNext) <=> v169(VarNext))) <=> ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext))))),
% 11.75/7.75 inference(bind,[status(th)],[])).
% 11.75/7.75 tff(2421,plain,
% 11.75/7.75 (![VarNext: $i] : (v165(VarNext) => (v162(VarNext) <=> v169(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.75 inference(quant_intro,[status(thm)],[2420])).
% 11.75/7.75 tff(2422,axiom,(![VarNext: $i] : (v165(VarNext) => (v162(VarNext) <=> v169(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 11.75/7.76 tff(2423,plain,
% 11.75/7.76 (![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 11.75/7.76 tff(2424,plain,
% 11.75/7.76 (![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2423, 2419])).
% 11.75/7.76 tff(2425,plain,(
% 11.75/7.76 ![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.76 inference(skolemize,[status(sab)],[2424])).
% 11.75/7.76 tff(2426,plain,
% 11.75/7.76 (![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2425, 2418])).
% 11.75/7.76 tff(2427,plain,
% 11.75/7.76 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB11)) | (v162(constB11) <=> v169(constB11)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB11)) | (v162(constB11) <=> v169(constB11)))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2428,plain,
% 11.75/7.76 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB11)) | (v162(constB11) <=> v169(constB11)))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2429,plain,
% 11.75/7.76 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB11)) | (v162(constB11) <=> v169(constB11))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 11.75/7.76 tff(2430,plain,
% 11.75/7.76 ((~v165(constB11)) | (v162(constB11) <=> v169(constB11))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2429, 2426])).
% 11.75/7.76 tff(2431,plain,
% 11.75/7.76 (v162(constB11) <=> v169(constB11)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2430, 2416])).
% 11.75/7.76 tff(2432,plain,
% 11.75/7.76 ((~(v162(constB11) <=> v169(constB11))) | (~v162(constB11)) | v169(constB11)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2433,plain,
% 11.75/7.76 (~v162(constB11)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2432, 2431, 2283])).
% 11.75/7.76 tff(2434,plain,
% 11.75/7.76 ((~(v160(constB11) <=> v162(constB11))) | (~v160(constB11)) | v162(constB11)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2435,plain,
% 11.75/7.76 ((~(v160(constB11) <=> v162(constB11))) | (~v160(constB11))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2434, 2433])).
% 11.75/7.76 tff(2436,plain,
% 11.75/7.76 (~v160(constB11)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2435, 551])).
% 11.75/7.76 tff(2437,plain,
% 11.75/7.76 (((~v184(constB11)) | (~v160(constB11))) | v160(constB11)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2438,plain,
% 11.75/7.76 ((~v184(constB11)) | (~v160(constB11))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2437, 2436])).
% 11.75/7.76 tff(2439,plain,
% 11.75/7.76 ((~(v187(constB11) <=> (~((~v184(constB11)) | (~v160(constB11)))))) | (~v187(constB11)) | (~((~v184(constB11)) | (~v160(constB11))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2440,plain,
% 11.75/7.76 (~v187(constB11)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2439, 2438, 542])).
% 11.75/7.76 tff(2441,plain,
% 11.75/7.76 (((~v186(constB11)) | (~v187(constB11))) | v187(constB11)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2442,plain,
% 11.75/7.76 ((~v186(constB11)) | (~v187(constB11))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2441, 2440])).
% 11.75/7.76 tff(2443,plain,
% 11.75/7.76 ((~(v185(constB11) <=> (~((~v186(constB11)) | (~v187(constB11)))))) | (~v185(constB11)) | (~((~v186(constB11)) | (~v187(constB11))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2444,plain,
% 11.75/7.76 (~v185(constB11)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2443, 2442, 540])).
% 11.75/7.76 tff(2445,plain,
% 11.75/7.76 ((~(v181(constB11) | v185(constB11))) | v181(constB11) | v185(constB11)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2446,plain,
% 11.75/7.76 (~(v181(constB11) | v185(constB11))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2445, 2444, 538])).
% 11.75/7.76 tff(2447,plain,
% 11.75/7.76 ((~(v178(constB11) <=> (v181(constB11) | v185(constB11)))) | (~v178(constB11)) | (v181(constB11) | v185(constB11))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2448,plain,
% 11.75/7.76 (~v178(constB11)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2447, 2446, 462])).
% 11.75/7.76 tff(2449,plain,
% 11.75/7.76 ((~(v180(constB12) <=> v178(constB11))) | (~v180(constB12)) | v178(constB11)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2450,plain,
% 11.75/7.76 (~v180(constB12)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2449, 2448, 460])).
% 11.75/7.76 tff(2451,plain,
% 11.75/7.76 ((~(v158(constB12) <=> v180(constB12))) | (~v158(constB12)) | v180(constB12)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2452,plain,
% 11.75/7.76 (~v158(constB12)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2451, 2450, 453])).
% 11.75/7.76 tff(2453,plain,
% 11.75/7.76 (((~v158(constB12)) | (~v182(constB12))) | v158(constB12)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2454,plain,
% 11.75/7.76 ((~v158(constB12)) | (~v182(constB12))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2453, 2452])).
% 11.75/7.76 tff(2455,plain,
% 11.75/7.76 ((~(v181(constB12) <=> (~((~v158(constB12)) | (~v182(constB12)))))) | (~v181(constB12)) | (~((~v158(constB12)) | (~v182(constB12))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2456,plain,
% 11.75/7.76 (~v181(constB12)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2455, 2454, 451])).
% 11.75/7.76 tff(2457,plain,
% 11.75/7.76 ((~(v181(constB12) | v185(constB12))) | v181(constB12) | v185(constB12)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2458,plain,
% 11.75/7.76 (~(v181(constB12) | v185(constB12))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2457, 2456, 434])).
% 11.75/7.76 tff(2459,plain,
% 11.75/7.76 ((~(v178(constB12) <=> (v181(constB12) | v185(constB12)))) | (~v178(constB12)) | (v181(constB12) | v185(constB12))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2460,plain,
% 11.75/7.76 (~v178(constB12)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2459, 2458, 386])).
% 11.75/7.76 tff(2461,plain,
% 11.75/7.76 ((~(v180(constB13) <=> v178(constB12))) | (~v180(constB13)) | v178(constB12)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2462,plain,
% 11.75/7.76 (~v180(constB13)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2461, 2460, 377])).
% 11.75/7.76 tff(2463,plain,
% 11.75/7.76 ((~(v158(constB13) <=> v180(constB13))) | (~v158(constB13)) | v180(constB13)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2464,plain,
% 11.75/7.76 (~v158(constB13)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2463, 2462, 360])).
% 11.75/7.76 tff(2465,plain,
% 11.75/7.76 (((~v158(constB13)) | (~v199(constB13))) | v158(constB13)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2466,plain,
% 11.75/7.76 ((~v158(constB13)) | (~v199(constB13))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2465, 2464])).
% 11.75/7.76 tff(2467,plain,
% 11.75/7.76 ((~(v198(constB13) <=> (~((~v158(constB13)) | (~v199(constB13)))))) | (~v198(constB13)) | (~((~v158(constB13)) | (~v199(constB13))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2468,plain,
% 11.75/7.76 (~v198(constB13)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2467, 2466, 348])).
% 11.75/7.76 tff(2469,plain,
% 11.75/7.76 ((~(v197(constB13) | v198(constB13))) | v197(constB13) | v198(constB13)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2470,plain,
% 11.75/7.76 (~(v197(constB13) | v198(constB13))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2469, 2468, 346])).
% 11.75/7.76 tff(2471,plain,
% 11.75/7.76 ((~(v194(constB13) <=> (v197(constB13) | v198(constB13)))) | (~v194(constB13)) | (v197(constB13) | v198(constB13))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2472,plain,
% 11.75/7.76 (~v194(constB13)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2471, 2470, 196])).
% 11.75/7.76 tff(2473,plain,
% 11.75/7.76 ((~(v196(constB14) <=> v194(constB13))) | (~v196(constB14)) | v194(constB13)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2474,plain,
% 11.75/7.76 (~v196(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2473, 2472, 194])).
% 11.75/7.76 tff(2475,plain,
% 11.75/7.76 ((~(v191(constB14) <=> v196(constB14))) | (~v191(constB14)) | v196(constB14)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2476,plain,
% 11.75/7.76 (~v191(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2475, 2474, 187])).
% 11.75/7.76 tff(2477,plain,
% 11.75/7.76 (((~v182(constB14)) | (~v191(constB14))) | v191(constB14)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2478,plain,
% 11.75/7.76 ((~v182(constB14)) | (~v191(constB14))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2477, 2476])).
% 11.75/7.76 tff(2479,plain,
% 11.75/7.76 ((~(v197(constB14) <=> (~((~v182(constB14)) | (~v191(constB14)))))) | (~v197(constB14)) | (~((~v182(constB14)) | (~v191(constB14))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2480,plain,
% 11.75/7.76 (~v197(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2479, 2478, 185])).
% 11.75/7.76 tff(2481,plain,
% 11.75/7.76 ((~(v197(constB14) | v198(constB14))) | v197(constB14) | v198(constB14)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2482,plain,
% 11.75/7.76 (~(v197(constB14) | v198(constB14))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2481, 2480, 173])).
% 11.75/7.76 tff(2483,plain,
% 11.75/7.76 ((~(v194(constB14) <=> (v197(constB14) | v198(constB14)))) | (~v194(constB14)) | (v197(constB14) | v198(constB14))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2484,plain,
% 11.75/7.76 (~v194(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2483, 2482, 92])).
% 11.75/7.76 tff(2485,plain,
% 11.75/7.76 ((~(v196(constB15) <=> v194(constB14))) | (~v196(constB15)) | v194(constB14)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2486,plain,
% 11.75/7.76 (~v196(constB15)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2485, 2484, 83])).
% 11.75/7.76 tff(2487,plain,
% 11.75/7.76 ((~(v191(constB15) <=> v196(constB15))) | (~v191(constB15)) | v196(constB15)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2488,plain,
% 11.75/7.76 (~v191(constB15)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2487, 2486, 66])).
% 11.75/7.76 tff(2489,plain,
% 11.75/7.76 (((~v191(constB15)) | (~v206(constB15))) | v191(constB15)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2490,plain,
% 11.75/7.76 ((~v191(constB15)) | (~v206(constB15))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2489, 2488])).
% 11.75/7.76 tff(2491,plain,
% 11.75/7.76 ((~(v209(constB15) <=> (~((~v191(constB15)) | (~v206(constB15)))))) | (~v209(constB15)) | (~((~v191(constB15)) | (~v206(constB15))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2492,plain,
% 11.75/7.76 (~v209(constB15)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2491, 2490, 54])).
% 11.75/7.76 tff(2493,plain,
% 11.75/7.76 (^[VarCurr: $i] : refl((v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr))))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr))))))),
% 11.75/7.76 inference(bind,[status(th)],[])).
% 11.75/7.76 tff(2494,plain,
% 11.75/7.76 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr))))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))),
% 11.75/7.76 inference(quant_intro,[status(thm)],[2493])).
% 11.75/7.76 tff(2495,plain,
% 11.75/7.76 (^[VarCurr: $i] : rewrite((v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr))))))),
% 11.75/7.76 inference(bind,[status(th)],[])).
% 11.75/7.76 tff(2496,plain,
% 11.75/7.76 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))),
% 11.75/7.76 inference(quant_intro,[status(thm)],[2495])).
% 11.75/7.76 tff(2497,plain,
% 11.75/7.76 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr)))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2498,axiom,(![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_56')).
% 11.75/7.76 tff(2499,plain,
% 11.75/7.76 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr)))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 11.75/7.76 tff(2500,plain,(
% 11.75/7.76 ![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v158(VarCurr)))),
% 11.75/7.76 inference(skolemize,[status(sab)],[2499])).
% 11.75/7.76 tff(2501,plain,
% 11.75/7.76 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2500, 2496])).
% 11.75/7.76 tff(2502,plain,
% 11.75/7.76 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2501, 2494])).
% 11.75/7.76 tff(2503,plain,
% 11.75/7.76 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15))))))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2504,plain,
% 11.75/7.76 ((v205(constB15) <=> (~((~v206(constB15)) | (~v158(constB15))))) <=> (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15)))))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2505,plain,
% 11.75/7.76 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v206(constB15)) | (~v158(constB15)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15))))))),
% 11.75/7.76 inference(monotonicity,[status(thm)],[2504])).
% 11.75/7.76 tff(2506,plain,
% 11.75/7.76 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v206(constB15)) | (~v158(constB15)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15))))))),
% 11.75/7.76 inference(transitivity,[status(thm)],[2505, 2503])).
% 11.75/7.76 tff(2507,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v206(constB15)) | (~v158(constB15)))))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2508,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15)))))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2507, 2506])).
% 11.75/7.76 tff(2509,plain,
% 11.75/7.76 (v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15))))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2508, 2502])).
% 11.75/7.76 tff(2510,plain,
% 11.75/7.76 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB15) <=> v180(constB15))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2511,plain,
% 11.75/7.76 (v158(constB15) <=> v180(constB15)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2510, 358])).
% 11.75/7.76 tff(2512,plain,
% 11.75/7.76 (((~![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)))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2513,plain,
% 11.75/7.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2514,plain,
% 11.75/7.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 11.75/7.76 tff(2515,plain,
% 11.75/7.76 (v180(constB15) <=> v178(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2514, 79, 370])).
% 11.75/7.76 tff(2516,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB14) <=> (v181(constB14) | v185(constB14)))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2517,plain,
% 11.75/7.76 (v178(constB14) <=> (v181(constB14) | v185(constB14))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2516, 384])).
% 11.75/7.76 tff(2518,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14)))))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2519,plain,
% 11.75/7.76 (v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14))))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2518, 396])).
% 11.75/7.76 tff(2520,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB14) <=> (~((~v184(constB14)) | (~v160(constB14)))))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2521,plain,
% 11.75/7.76 (v187(constB14) <=> (~((~v184(constB14)) | (~v160(constB14))))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2520, 408])).
% 11.75/7.76 tff(2522,plain,
% 11.75/7.76 (((~v184(constB14)) | (~v160(constB14))) | v184(constB14)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2523,plain,
% 11.75/7.76 ((~v184(constB14)) | (~v160(constB14))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2522, 160])).
% 11.75/7.76 tff(2524,plain,
% 11.75/7.76 ((~(v187(constB14) <=> (~((~v184(constB14)) | (~v160(constB14)))))) | (~v187(constB14)) | (~((~v184(constB14)) | (~v160(constB14))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2525,plain,
% 11.75/7.76 ((~(v187(constB14) <=> (~((~v184(constB14)) | (~v160(constB14)))))) | (~v187(constB14))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2524, 2523])).
% 11.75/7.76 tff(2526,plain,
% 11.75/7.76 (~v187(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2525, 2521])).
% 11.75/7.76 tff(2527,plain,
% 11.75/7.76 (((~v186(constB14)) | (~v187(constB14))) | v187(constB14)),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2528,plain,
% 11.75/7.76 ((~v186(constB14)) | (~v187(constB14))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2527, 2526])).
% 11.75/7.76 tff(2529,plain,
% 11.75/7.76 ((~(v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14)))))) | (~v185(constB14)) | (~((~v186(constB14)) | (~v187(constB14))))),
% 11.75/7.76 inference(tautology,[status(thm)],[])).
% 11.75/7.76 tff(2530,plain,
% 11.75/7.76 (~v185(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2529, 2528, 2519])).
% 11.75/7.76 tff(2531,plain,
% 11.75/7.76 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14))))))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2532,plain,
% 11.75/7.76 ((v181(constB14) <=> (~((~v182(constB14)) | (~v158(constB14))))) <=> (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14)))))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2533,plain,
% 11.75/7.76 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v158(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14))))))),
% 11.75/7.76 inference(monotonicity,[status(thm)],[2532])).
% 11.75/7.76 tff(2534,plain,
% 11.75/7.76 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v158(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14))))))),
% 11.75/7.76 inference(transitivity,[status(thm)],[2533, 2531])).
% 11.75/7.76 tff(2535,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v158(constB14)))))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2536,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14)))))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 11.75/7.76 tff(2537,plain,
% 11.75/7.76 (v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14))))),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2536, 444])).
% 11.75/7.76 tff(2538,plain,
% 11.75/7.76 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB14) <=> v180(constB14))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2539,plain,
% 11.75/7.76 (v158(constB14) <=> v180(constB14)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2538, 358])).
% 11.75/7.76 tff(2540,plain,
% 11.75/7.76 (((~![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)))),
% 11.75/7.76 inference(rewrite,[status(thm)],[])).
% 11.75/7.76 tff(2541,plain,
% 11.75/7.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))),
% 11.75/7.76 inference(quant_inst,[status(thm)],[])).
% 11.75/7.76 tff(2542,plain,
% 11.75/7.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13))),
% 11.75/7.76 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 11.75/7.76 tff(2543,plain,
% 11.75/7.76 (v180(constB14) <=> v178(constB13)),
% 11.75/7.76 inference(unit_resolution,[status(thm)],[2542, 190, 370])).
% 11.75/7.76 tff(2544,plain,
% 11.75/7.76 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB13) <=> (v181(constB13) | v185(constB13)))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2545,plain,
% 11.75/7.77 (v178(constB13) <=> (v181(constB13) | v185(constB13))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2544, 384])).
% 11.75/7.77 tff(2546,plain,
% 11.75/7.77 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2547,plain,
% 11.75/7.77 ((v181(constB13) <=> (~((~v182(constB13)) | (~v158(constB13))))) <=> (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13)))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2548,plain,
% 11.75/7.77 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v158(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13))))))),
% 11.75/7.77 inference(monotonicity,[status(thm)],[2547])).
% 11.75/7.77 tff(2549,plain,
% 11.75/7.77 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v158(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13))))))),
% 11.75/7.77 inference(transitivity,[status(thm)],[2548, 2546])).
% 11.75/7.77 tff(2550,plain,
% 11.75/7.77 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v158(constB13)))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2551,plain,
% 11.75/7.77 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13)))))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 11.75/7.77 tff(2552,plain,
% 11.75/7.77 (v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2551, 444])).
% 11.75/7.77 tff(2553,plain,
% 11.75/7.77 (((~v158(constB13)) | (~v182(constB13))) | v182(constB13)),
% 11.75/7.77 inference(tautology,[status(thm)],[])).
% 11.75/7.77 tff(2554,plain,
% 11.75/7.77 ((~v158(constB13)) | (~v182(constB13))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2553, 342])).
% 11.75/7.77 tff(2555,plain,
% 11.75/7.77 ((~(v181(constB13) <=> (~((~v158(constB13)) | (~v182(constB13)))))) | (~v181(constB13)) | (~((~v158(constB13)) | (~v182(constB13))))),
% 11.75/7.77 inference(tautology,[status(thm)],[])).
% 11.75/7.77 tff(2556,plain,
% 11.75/7.77 (~v181(constB13)),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2555, 2554, 2552])).
% 11.75/7.77 tff(2557,plain,
% 11.75/7.77 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13)))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2558,plain,
% 11.75/7.77 (v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2557, 396])).
% 11.75/7.77 tff(2559,plain,
% 11.75/7.77 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB13) <=> (~((~v184(constB13)) | (~v160(constB13)))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2560,plain,
% 11.75/7.77 (v187(constB13) <=> (~((~v184(constB13)) | (~v160(constB13))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2559, 408])).
% 11.75/7.77 tff(2561,plain,
% 11.75/7.77 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB13) <=> v162(constB13))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2562,plain,
% 11.75/7.77 (v160(constB13) <=> v162(constB13)),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2561, 549])).
% 11.75/7.77 tff(2563,plain,
% 11.75/7.77 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB13) <=> (~(v88(constB13, bitIndex2) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex0)))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2564,plain,
% 11.75/7.77 (v141(constB13) <=> (~(v88(constB13, bitIndex2) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex0))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2563, 564])).
% 11.75/7.77 tff(2565,plain,
% 11.75/7.77 (((~![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)))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2566,plain,
% 11.75/7.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2)))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2567,plain,
% 11.75/7.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 11.75/7.77 tff(2568,plain,
% 11.75/7.77 (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2)),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2567, 579, 576])).
% 11.75/7.77 tff(2569,plain,
% 11.75/7.77 (((~![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))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2570,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2571,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 11.75/7.77 tff(2572,plain,
% 11.75/7.77 (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2571, 373, 596])).
% 11.75/7.77 tff(2573,plain,
% 11.75/7.77 (((~![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))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2574,plain,
% 11.75/7.77 (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2575,plain,
% 11.75/7.77 (((~![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)))))))),
% 11.75/7.77 inference(monotonicity,[status(thm)],[2574])).
% 11.75/7.77 tff(2576,plain,
% 11.75/7.77 (((~![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))))))),
% 11.75/7.77 inference(transitivity,[status(thm)],[2575, 2573])).
% 11.75/7.77 tff(2577,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2578,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 11.75/7.77 tff(2579,plain,
% 11.75/7.77 (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2578, 373, 616])).
% 11.75/7.77 tff(2580,plain,
% 11.75/7.77 (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 11.75/7.77 inference(tautology,[status(thm)],[])).
% 11.75/7.77 tff(2581,plain,
% 11.75/7.77 ((~v1(constB13)) | (~v102(constB13))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2580, 328])).
% 11.75/7.77 tff(2582,plain,
% 11.75/7.77 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 11.75/7.77 inference(tautology,[status(thm)],[])).
% 11.75/7.77 tff(2583,plain,
% 11.75/7.77 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2582, 2581])).
% 11.75/7.77 tff(2584,plain,
% 11.75/7.77 (~v101(constB13)),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2583, 2579])).
% 11.75/7.77 tff(2585,plain,
% 11.75/7.77 (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 11.75/7.77 inference(tautology,[status(thm)],[])).
% 11.75/7.77 tff(2586,plain,
% 11.75/7.77 ((~v101(constB13)) | (~v110(constB13))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2585, 2584])).
% 11.75/7.77 tff(2587,plain,
% 11.75/7.77 ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 11.75/7.77 inference(tautology,[status(thm)],[])).
% 11.75/7.77 tff(2588,plain,
% 11.75/7.77 (~v100(constB13)),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2587, 2586, 2572])).
% 11.75/7.77 tff(2589,plain,
% 11.75/7.77 (((~![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))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2590,plain,
% 11.75/7.77 ((~![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))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2591,plain,
% 11.75/7.77 ((~![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)))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 11.75/7.77 tff(2592,plain,
% 11.75/7.77 (v100(constB13) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2591, 373, 645])).
% 11.75/7.77 tff(2593,plain,
% 11.75/7.77 (![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2592, 2588])).
% 11.75/7.77 tff(2594,plain,
% 11.75/7.77 (((~![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)))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2595,plain,
% 11.75/7.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2596,plain,
% 11.75/7.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 11.75/7.77 tff(2597,plain,
% 11.75/7.77 (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2596, 579, 2593])).
% 11.75/7.77 tff(2598,plain,
% 11.75/7.77 (((~![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))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2599,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.77 tff(2600,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))),
% 11.75/7.77 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 11.75/7.77 tff(2601,plain,
% 11.75/7.77 (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))),
% 11.75/7.77 inference(unit_resolution,[status(thm)],[2600, 456, 596])).
% 11.75/7.77 tff(2602,plain,
% 11.75/7.77 (((~![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))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2603,plain,
% 11.75/7.77 (((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 11.75/7.77 inference(rewrite,[status(thm)],[])).
% 11.75/7.77 tff(2604,plain,
% 11.75/7.77 (((~![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)))))))),
% 11.75/7.77 inference(monotonicity,[status(thm)],[2603])).
% 11.75/7.77 tff(2605,plain,
% 11.75/7.77 (((~![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))))))),
% 11.75/7.77 inference(transitivity,[status(thm)],[2604, 2602])).
% 11.75/7.77 tff(2606,plain,
% 11.75/7.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))),
% 11.75/7.77 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2607,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 11.75/7.78 tff(2608,plain,
% 11.75/7.78 (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2607, 456, 616])).
% 11.75/7.78 tff(2609,plain,
% 11.75/7.78 (((~![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)))),
% 11.75/7.78 inference(rewrite,[status(thm)],[])).
% 11.75/7.78 tff(2610,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2611,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2610, 2609])).
% 11.75/7.78 tff(2612,plain,
% 11.75/7.78 ((~v102(constB12)) <=> v104(constB12)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2611, 456, 678])).
% 11.75/7.78 tff(2613,plain,
% 11.75/7.78 (((~![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)))),
% 11.75/7.78 inference(rewrite,[status(thm)],[])).
% 11.75/7.78 tff(2614,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2615,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 11.75/7.78 tff(2616,plain,
% 11.75/7.78 (v104(constB12) <=> v1(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2615, 456, 692])).
% 11.75/7.78 tff(2617,plain,
% 11.75/7.78 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12)) | v1(constB11)),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2618,plain,
% 11.75/7.78 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2617, 520])).
% 11.75/7.78 tff(2619,plain,
% 11.75/7.78 (~v104(constB12)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2618, 2616])).
% 11.75/7.78 tff(2620,plain,
% 11.75/7.78 ((~((~v102(constB12)) <=> v104(constB12))) | v102(constB12) | v104(constB12)),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2621,plain,
% 11.75/7.78 (v102(constB12)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2620, 2619, 2612])).
% 11.75/7.78 tff(2622,plain,
% 11.75/7.78 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v1(constB12)) | (~v102(constB12))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2623,plain,
% 11.75/7.78 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v102(constB12))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2622, 417])).
% 11.75/7.78 tff(2624,plain,
% 11.75/7.78 (~((~v1(constB12)) | (~v102(constB12)))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2623, 2621])).
% 11.75/7.78 tff(2625,plain,
% 11.75/7.78 ((~(v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))) | v101(constB12) | ((~v1(constB12)) | (~v102(constB12)))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2626,plain,
% 11.75/7.78 (v101(constB12)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2625, 2624, 2608])).
% 11.75/7.78 tff(2627,plain,
% 11.75/7.78 (((~![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)))),
% 11.75/7.78 inference(rewrite,[status(thm)],[])).
% 11.75/7.78 tff(2628,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2629,plain,
% 11.75/7.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 11.75/7.78 tff(2630,plain,
% 11.75/7.78 (v110(constB12) <=> v108(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2629, 456, 722])).
% 11.75/7.78 tff(2631,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB11) <=> (v111(constB11) | v112(constB11)))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2632,plain,
% 11.75/7.78 (v108(constB11) <=> (v111(constB11) | v112(constB11))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2631, 733])).
% 11.75/7.78 tff(2633,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2634,plain,
% 11.75/7.78 (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11))))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2633, 745])).
% 11.75/7.78 tff(2635,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB11) <=> (v114(constB11) | v125(constB11)))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2636,plain,
% 11.75/7.78 (v113(constB11) <=> (v114(constB11) | v125(constB11))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2635, 754])).
% 11.75/7.78 tff(2637,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB11) <=> (v115(constB11) | v124(constB11)))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2638,plain,
% 11.75/7.78 (v114(constB11) <=> (v115(constB11) | v124(constB11))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2637, 763])).
% 11.75/7.78 tff(2639,plain,
% 11.75/7.78 (^[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))))))),
% 11.75/7.78 inference(bind,[status(th)],[])).
% 11.75/7.78 tff(2640,plain,
% 11.75/7.78 (![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)))))),
% 11.75/7.78 inference(quant_intro,[status(thm)],[2639])).
% 11.75/7.78 tff(2641,plain,
% 11.75/7.78 (^[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))))))),
% 11.75/7.78 inference(bind,[status(th)],[])).
% 11.75/7.78 tff(2642,plain,
% 11.75/7.78 (![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)))))),
% 11.75/7.78 inference(quant_intro,[status(thm)],[2641])).
% 11.75/7.78 tff(2643,plain,
% 11.75/7.78 (![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)))),
% 11.75/7.78 inference(rewrite,[status(thm)],[])).
% 11.75/7.78 tff(2644,plain,
% 11.75/7.78 (^[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))))),
% 11.75/7.78 inference(bind,[status(th)],[])).
% 11.75/7.78 tff(2645,plain,
% 11.75/7.78 (![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)))),
% 11.75/7.78 inference(quant_intro,[status(thm)],[2644])).
% 11.75/7.78 tff(2646,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')).
% 11.75/7.78 tff(2647,plain,
% 11.75/7.78 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 11.75/7.78 tff(2648,plain,
% 11.75/7.78 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2647, 2643])).
% 11.75/7.78 tff(2649,plain,(
% 11.75/7.78 ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 11.75/7.78 inference(skolemize,[status(sab)],[2648])).
% 11.75/7.78 tff(2650,plain,
% 11.75/7.78 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2649, 2642])).
% 11.75/7.78 tff(2651,plain,
% 11.75/7.78 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2650, 2640])).
% 11.75/7.78 tff(2652,plain,
% 11.75/7.78 (((~![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))))))),
% 11.75/7.78 inference(rewrite,[status(thm)],[])).
% 11.75/7.78 tff(2653,plain,
% 11.75/7.78 ((v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2))))) <=> (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))),
% 11.75/7.78 inference(rewrite,[status(thm)],[])).
% 11.75/7.78 tff(2654,plain,
% 11.75/7.78 (((~![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))))))),
% 11.75/7.78 inference(monotonicity,[status(thm)],[2653])).
% 11.75/7.78 tff(2655,plain,
% 11.75/7.78 (((~![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))))))),
% 11.75/7.78 inference(transitivity,[status(thm)],[2654, 2652])).
% 11.75/7.78 tff(2656,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2657,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))),
% 11.75/7.78 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 11.75/7.78 tff(2658,plain,
% 11.75/7.78 (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2657, 2651])).
% 11.75/7.78 tff(2659,plain,
% 11.75/7.78 ((~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))) | (~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2660,plain,
% 11.75/7.78 (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2659, 2402, 2362, 2203])).
% 11.75/7.78 tff(2661,plain,
% 11.75/7.78 ((~(v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))) | v124(constB11) | ((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2662,plain,
% 11.75/7.78 (v124(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2661, 2660, 2658])).
% 11.75/7.78 tff(2663,plain,
% 11.75/7.78 ((v115(constB11) | v124(constB11)) | (~v124(constB11))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2664,plain,
% 11.75/7.78 (v115(constB11) | v124(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2663, 2662])).
% 11.75/7.78 tff(2665,plain,
% 11.75/7.78 ((~(v114(constB11) <=> (v115(constB11) | v124(constB11)))) | v114(constB11) | (~(v115(constB11) | v124(constB11)))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2666,plain,
% 11.75/7.78 (v114(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2665, 2664, 2638])).
% 11.75/7.78 tff(2667,plain,
% 11.75/7.78 ((v114(constB11) | v125(constB11)) | (~v114(constB11))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2668,plain,
% 11.75/7.78 (v114(constB11) | v125(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2667, 2666])).
% 11.75/7.78 tff(2669,plain,
% 11.75/7.78 ((~(v113(constB11) <=> (v114(constB11) | v125(constB11)))) | v113(constB11) | (~(v114(constB11) | v125(constB11)))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2670,plain,
% 11.75/7.78 (v113(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2669, 2668, 2636])).
% 11.75/7.78 tff(2671,plain,
% 11.75/7.78 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB11)) <=> v111(constB11))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2672,plain,
% 11.75/7.78 ((~v126(constB11)) <=> v111(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2671, 1345])).
% 11.75/7.78 tff(2673,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2674,plain,
% 11.75/7.78 (v111(constB11) <=> v26(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2673, 1357])).
% 11.75/7.78 tff(2675,plain,
% 11.75/7.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 11.75/7.78 inference(quant_inst,[status(thm)],[])).
% 11.75/7.78 tff(2676,plain,
% 11.75/7.78 (~v26(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2675, 1369])).
% 11.75/7.78 tff(2677,plain,
% 11.75/7.78 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2678,plain,
% 11.75/7.78 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2677, 2676])).
% 11.75/7.78 tff(2679,plain,
% 11.75/7.78 (~v111(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2678, 2674])).
% 11.75/7.78 tff(2680,plain,
% 11.75/7.78 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11) | v111(constB11)),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2681,plain,
% 11.75/7.78 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2680, 2679])).
% 11.75/7.78 tff(2682,plain,
% 11.75/7.78 (v126(constB11)),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2681, 2672])).
% 11.75/7.78 tff(2683,plain,
% 11.75/7.78 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11)) | (~v126(constB11))),
% 11.75/7.78 inference(tautology,[status(thm)],[])).
% 11.75/7.78 tff(2684,plain,
% 11.75/7.78 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2683, 2682])).
% 11.75/7.78 tff(2685,plain,
% 11.75/7.78 (~((~v113(constB11)) | (~v126(constB11)))),
% 11.75/7.78 inference(unit_resolution,[status(thm)],[2684, 2670])).
% 11.75/7.79 tff(2686,plain,
% 11.75/7.79 ((~(v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))) | v112(constB11) | ((~v113(constB11)) | (~v126(constB11)))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2687,plain,
% 11.75/7.79 (v112(constB11)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2686, 2685, 2634])).
% 11.75/7.79 tff(2688,plain,
% 11.75/7.79 ((v111(constB11) | v112(constB11)) | (~v112(constB11))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2689,plain,
% 11.75/7.79 (v111(constB11) | v112(constB11)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2688, 2687])).
% 11.75/7.79 tff(2690,plain,
% 11.75/7.79 ((~(v108(constB11) <=> (v111(constB11) | v112(constB11)))) | v108(constB11) | (~(v111(constB11) | v112(constB11)))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2691,plain,
% 11.75/7.79 (v108(constB11)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2690, 2689, 2632])).
% 11.75/7.79 tff(2692,plain,
% 11.75/7.79 ((~(v110(constB12) <=> v108(constB11))) | v110(constB12) | (~v108(constB11))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2693,plain,
% 11.75/7.79 (v110(constB12)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2692, 2691, 2630])).
% 11.75/7.79 tff(2694,plain,
% 11.75/7.79 ((~((~v101(constB12)) | (~v110(constB12)))) | (~v101(constB12)) | (~v110(constB12))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2695,plain,
% 11.75/7.79 (~((~v101(constB12)) | (~v110(constB12)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2694, 2693, 2626])).
% 11.75/7.79 tff(2696,plain,
% 11.75/7.79 ((~(v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))) | v100(constB12) | ((~v101(constB12)) | (~v110(constB12)))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2697,plain,
% 11.75/7.79 (v100(constB12)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2696, 2695, 2601])).
% 11.75/7.79 tff(2698,plain,
% 11.75/7.79 (((~![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))))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2699,plain,
% 11.75/7.79 ((~![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))))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2700,plain,
% 11.75/7.79 ((~![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)))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 11.75/7.79 tff(2701,plain,
% 11.75/7.79 ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2700, 1405])).
% 11.75/7.79 tff(2702,plain,
% 11.75/7.79 (![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2701, 2697])).
% 11.75/7.79 tff(2703,plain,
% 11.75/7.79 (((~![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)))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2704,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2705,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 11.75/7.79 tff(2706,plain,
% 11.75/7.79 (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2705, 579, 2702])).
% 11.75/7.79 tff(2707,plain,
% 11.75/7.79 (((~![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))))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2708,plain,
% 11.75/7.79 ((~![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))))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2709,plain,
% 11.75/7.79 ((~![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)))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 11.75/7.79 tff(2710,plain,
% 11.75/7.79 (![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2709, 456, 1427])).
% 11.75/7.79 tff(2711,plain,
% 11.75/7.79 (((~![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)))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2712,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2713,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 11.75/7.79 tff(2714,plain,
% 11.75/7.79 (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2713, 579, 2710])).
% 11.75/7.79 tff(2715,plain,
% 11.75/7.79 (((~![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))))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2716,plain,
% 11.75/7.79 ((~![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))))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2717,plain,
% 11.75/7.79 ((~![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)))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 11.75/7.79 tff(2718,plain,
% 11.75/7.79 (![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2717, 1448, 2679])).
% 11.75/7.79 tff(2719,plain,
% 11.75/7.79 (((~![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)))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2720,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2721,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 11.75/7.79 tff(2722,plain,
% 11.75/7.79 (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2721, 579, 2718])).
% 11.75/7.79 tff(2723,plain,
% 11.75/7.79 (^[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)))))),
% 11.75/7.79 inference(bind,[status(th)],[])).
% 11.75/7.79 tff(2724,plain,
% 11.75/7.79 (![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))))),
% 11.75/7.79 inference(quant_intro,[status(thm)],[2723])).
% 11.75/7.79 tff(2725,plain,
% 11.75/7.79 (^[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)))))),
% 11.75/7.79 inference(bind,[status(th)],[])).
% 11.75/7.79 tff(2726,plain,
% 11.75/7.79 (![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))))),
% 11.75/7.79 inference(quant_intro,[status(thm)],[2725])).
% 11.75/7.79 tff(2727,plain,
% 11.75/7.79 (![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))))),
% 11.75/7.79 inference(transitivity,[status(thm)],[2726, 2724])).
% 11.75/7.79 tff(2728,plain,
% 11.75/7.79 (![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))))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2729,plain,
% 11.75/7.79 (^[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))))))),
% 11.75/7.79 inference(bind,[status(th)],[])).
% 11.75/7.79 tff(2730,plain,
% 11.75/7.79 (![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))))),
% 11.75/7.79 inference(quant_intro,[status(thm)],[2729])).
% 11.75/7.79 tff(2731,axiom,(![VarCurr: $i] : (v124(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5')).
% 11.75/7.79 tff(2732,plain,
% 11.75/7.79 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 11.75/7.79 tff(2733,plain,
% 11.75/7.79 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2732, 2728])).
% 11.75/7.79 tff(2734,plain,(
% 11.75/7.79 ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 11.75/7.79 inference(skolemize,[status(sab)],[2733])).
% 11.75/7.79 tff(2735,plain,
% 11.75/7.79 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2734, 2727])).
% 11.75/7.79 tff(2736,plain,
% 11.75/7.79 (((~![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))))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2737,plain,
% 11.75/7.79 ((~![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))))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2738,plain,
% 11.75/7.79 ((~![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)))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 11.75/7.79 tff(2739,plain,
% 11.75/7.79 ((~v124(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2738, 2735])).
% 11.75/7.79 tff(2740,plain,
% 11.75/7.79 (![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2739, 2662])).
% 11.75/7.79 tff(2741,plain,
% 11.75/7.79 (((~![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)))),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2742,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b110(bitIndex2)))),
% 11.75/7.79 inference(quant_inst,[status(thm)],[])).
% 11.75/7.79 tff(2743,plain,
% 11.75/7.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b110(bitIndex2))),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2742, 2741])).
% 11.75/7.79 tff(2744,plain,
% 11.75/7.79 (v130(constB11, bitIndex2) <=> b110(bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2743, 579, 2740])).
% 11.75/7.79 tff(2745,plain,
% 11.75/7.79 (b110(bitIndex2) <=> b110(bitIndex2)),
% 11.75/7.79 inference(rewrite,[status(thm)],[])).
% 11.75/7.79 tff(2746,axiom,(b110(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_20')).
% 11.75/7.79 tff(2747,plain,
% 11.75/7.79 (b110(bitIndex2)),
% 11.75/7.79 inference(modus_ponens,[status(thm)],[2746, 2745])).
% 11.75/7.79 tff(2748,plain,
% 11.75/7.79 ((~(v130(constB11, bitIndex2) <=> b110(bitIndex2))) | v130(constB11, bitIndex2) | (~b110(bitIndex2))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2749,plain,
% 11.75/7.79 ((~(v130(constB11, bitIndex2) <=> b110(bitIndex2))) | v130(constB11, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2748, 2747])).
% 11.75/7.79 tff(2750,plain,
% 11.75/7.79 (v130(constB11, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2749, 2744])).
% 11.75/7.79 tff(2751,plain,
% 11.75/7.79 ((~(v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2))) | v127(constB11, bitIndex2) | (~v130(constB11, bitIndex2))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2752,plain,
% 11.75/7.79 (v127(constB11, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2751, 2750, 2722])).
% 11.75/7.79 tff(2753,plain,
% 11.75/7.79 ((~(v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2))) | v129(constB12, bitIndex2) | (~v127(constB11, bitIndex2))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2754,plain,
% 11.75/7.79 (v129(constB12, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2753, 2752, 2714])).
% 11.75/7.79 tff(2755,plain,
% 11.75/7.79 ((~(v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2756,plain,
% 11.75/7.79 (v90(constB12, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2755, 2754, 2706])).
% 11.75/7.79 tff(2757,plain,
% 11.75/7.79 ((~(v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2))) | v90(constB13, bitIndex2) | (~v90(constB12, bitIndex2))),
% 11.75/7.79 inference(tautology,[status(thm)],[])).
% 11.75/7.79 tff(2758,plain,
% 11.75/7.79 (v90(constB13, bitIndex2)),
% 11.75/7.79 inference(unit_resolution,[status(thm)],[2757, 2756, 2597])).
% 11.75/7.79 tff(2759,plain,
% 11.75/7.79 ((~(v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2))) | v88(constB13, bitIndex2) | (~v90(constB13, bitIndex2))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2760,plain,
% 11.75/7.80 (v88(constB13, bitIndex2)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2759, 2758, 2568])).
% 11.75/7.80 tff(2761,plain,
% 11.75/7.80 ((v88(constB13, bitIndex2) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex2))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2762,plain,
% 11.75/7.80 (v88(constB13, bitIndex2) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex0))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2761, 2760])).
% 11.75/7.80 tff(2763,plain,
% 11.75/7.80 ((~(v141(constB13) <=> (~(v88(constB13, bitIndex2) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex0)))))) | (~v141(constB13)) | (~(v88(constB13, bitIndex2) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex0))))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2764,plain,
% 11.75/7.80 (~v141(constB13)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2763, 2762, 2564])).
% 11.75/7.80 tff(2765,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB13) <=> (v139(constB13) | v140(constB13)))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2766,plain,
% 11.75/7.80 (v170(constB13) <=> (v139(constB13) | v140(constB13))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2765, 2216])).
% 11.75/7.80 tff(2767,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2))))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2768,plain,
% 11.75/7.80 (v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2767, 2231])).
% 11.75/7.80 tff(2769,plain,
% 11.75/7.80 ((v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex2))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2770,plain,
% 11.75/7.80 (v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2769, 2760])).
% 11.75/7.80 tff(2771,plain,
% 11.75/7.80 ((~(v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2))))) | (~v139(constB13)) | (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2772,plain,
% 11.75/7.80 (~v139(constB13)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2771, 2770, 2768])).
% 11.75/7.80 tff(2773,plain,
% 11.75/7.80 (((~![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))))))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2774,plain,
% 11.75/7.80 ((v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0))))) <=> (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2775,plain,
% 11.75/7.80 (((~![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))))))),
% 11.75/7.80 inference(monotonicity,[status(thm)],[2774])).
% 11.75/7.80 tff(2776,plain,
% 11.75/7.80 (((~![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))))))),
% 11.75/7.80 inference(transitivity,[status(thm)],[2775, 2773])).
% 11.75/7.80 tff(2777,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0)))))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2778,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 11.75/7.80 tff(2779,plain,
% 11.75/7.80 (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2778, 2250])).
% 11.75/7.80 tff(2780,plain,
% 11.75/7.80 ((v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex2))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2781,plain,
% 11.75/7.80 (v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2780, 2760])).
% 11.75/7.80 tff(2782,plain,
% 11.75/7.80 ((~(v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))) | (~v140(constB13)) | (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2783,plain,
% 11.75/7.80 (~v140(constB13)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2782, 2781, 2779])).
% 11.75/7.80 tff(2784,plain,
% 11.75/7.80 ((~(v139(constB13) | v140(constB13))) | v139(constB13) | v140(constB13)),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2785,plain,
% 11.75/7.80 (~(v139(constB13) | v140(constB13))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2784, 2783, 2772])).
% 11.75/7.80 tff(2786,plain,
% 11.75/7.80 ((~(v170(constB13) <=> (v139(constB13) | v140(constB13)))) | (~v170(constB13)) | (v139(constB13) | v140(constB13))),
% 11.75/7.80 inference(tautology,[status(thm)],[])).
% 11.75/7.80 tff(2787,plain,
% 11.75/7.80 (~v170(constB13)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2786, 2785, 2766])).
% 11.75/7.80 tff(2788,plain,
% 11.75/7.80 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB13) | v170(constB13) | (~v169(constB13)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB13) | v170(constB13) | (~v169(constB13)))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2789,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB13) | v170(constB13) | (~v169(constB13)))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2790,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB13) | v170(constB13) | (~v169(constB13))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2789, 2788])).
% 11.75/7.80 tff(2791,plain,
% 11.75/7.80 (v141(constB13) | v170(constB13) | (~v169(constB13))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2790, 2278])).
% 11.75/7.80 tff(2792,plain,
% 11.75/7.80 (~v169(constB13)),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2791, 2787, 2764])).
% 11.75/7.80 tff(2793,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB13) <=> (v145(constB13) | v166(constB13)))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2794,plain,
% 11.75/7.80 (v165(constB13) <=> (v145(constB13) | v166(constB13))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2793, 2293])).
% 11.75/7.80 tff(2795,plain,
% 11.75/7.80 (^[VarCurr: $i] : refl((v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr))))),
% 11.75/7.80 inference(bind,[status(th)],[])).
% 11.75/7.80 tff(2796,plain,
% 11.75/7.80 (![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(quant_intro,[status(thm)],[2795])).
% 11.75/7.80 tff(2797,plain,
% 11.75/7.80 (![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2798,plain,
% 11.75/7.80 (^[VarCurr: $i] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v142(VarCurr))) <=> (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr))))),
% 11.75/7.80 inference(bind,[status(th)],[])).
% 11.75/7.80 tff(2799,plain,
% 11.75/7.80 (![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(quant_intro,[status(thm)],[2798])).
% 11.75/7.80 tff(2800,axiom,(![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_39')).
% 11.75/7.80 tff(2801,plain,
% 11.75/7.80 (![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2800, 2799])).
% 11.75/7.80 tff(2802,plain,
% 11.75/7.80 (![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2801, 2797])).
% 11.75/7.80 tff(2803,plain,(
% 11.75/7.80 ![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(skolemize,[status(sab)],[2802])).
% 11.75/7.80 tff(2804,plain,
% 11.75/7.80 (![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2803, 2796])).
% 11.75/7.80 tff(2805,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB13) <=> (v142(constB13) | v167(constB13)))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2806,plain,
% 11.75/7.80 (v166(constB13) <=> (v142(constB13) | v167(constB13))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2805, 2804])).
% 11.75/7.80 tff(2807,plain,
% 11.75/7.80 (^[VarCurr: $i] : refl((v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))))),
% 11.75/7.80 inference(bind,[status(th)],[])).
% 11.75/7.80 tff(2808,plain,
% 11.75/7.80 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 11.75/7.80 inference(quant_intro,[status(thm)],[2807])).
% 11.75/7.80 tff(2809,plain,
% 11.75/7.80 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2810,axiom,(![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30')).
% 11.75/7.80 tff(2811,plain,
% 11.75/7.80 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 11.75/7.80 tff(2812,plain,(
% 11.75/7.80 ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 11.75/7.80 inference(skolemize,[status(sab)],[2811])).
% 11.75/7.80 tff(2813,plain,
% 11.75/7.80 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2812, 2808])).
% 11.75/7.80 tff(2814,plain,
% 11.75/7.80 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB13) <=> (v143(constB13) | v144(constB13)))),
% 11.75/7.80 inference(quant_inst,[status(thm)],[])).
% 11.75/7.80 tff(2815,plain,
% 11.75/7.80 (v142(constB13) <=> (v143(constB13) | v144(constB13))),
% 11.75/7.80 inference(unit_resolution,[status(thm)],[2814, 2813])).
% 11.75/7.80 tff(2816,plain,
% 11.75/7.80 (^[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))))))),
% 11.75/7.80 inference(bind,[status(th)],[])).
% 11.75/7.80 tff(2817,plain,
% 11.75/7.80 (![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)))))),
% 11.75/7.80 inference(quant_intro,[status(thm)],[2816])).
% 11.75/7.80 tff(2818,plain,
% 11.75/7.80 (^[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))))))),
% 11.75/7.80 inference(bind,[status(th)],[])).
% 11.75/7.80 tff(2819,plain,
% 11.75/7.80 (![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)))))),
% 11.75/7.80 inference(quant_intro,[status(thm)],[2818])).
% 11.75/7.80 tff(2820,plain,
% 11.75/7.80 (![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))))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2821,plain,
% 11.75/7.80 (^[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)))))),
% 11.75/7.80 inference(bind,[status(th)],[])).
% 11.75/7.80 tff(2822,plain,
% 11.75/7.80 (![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))))),
% 11.75/7.80 inference(quant_intro,[status(thm)],[2821])).
% 11.75/7.80 tff(2823,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')).
% 11.75/7.80 tff(2824,plain,
% 11.75/7.80 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 11.75/7.80 tff(2825,plain,
% 11.75/7.80 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2824, 2820])).
% 11.75/7.80 tff(2826,plain,(
% 11.75/7.80 ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 11.75/7.80 inference(skolemize,[status(sab)],[2825])).
% 11.75/7.80 tff(2827,plain,
% 11.75/7.80 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2826, 2819])).
% 11.75/7.80 tff(2828,plain,
% 11.75/7.80 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 11.75/7.80 inference(modus_ponens,[status(thm)],[2827, 2817])).
% 11.75/7.80 tff(2829,plain,
% 11.75/7.80 (((~![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)))))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2830,plain,
% 11.75/7.80 ((v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2))))) <=> (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))),
% 11.75/7.80 inference(rewrite,[status(thm)],[])).
% 11.75/7.80 tff(2831,plain,
% 11.75/7.80 (((~![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)))))),
% 11.75/7.80 inference(monotonicity,[status(thm)],[2830])).
% 11.75/7.81 tff(2832,plain,
% 11.75/7.81 (((~![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)))))),
% 11.75/7.81 inference(transitivity,[status(thm)],[2831, 2829])).
% 11.75/7.81 tff(2833,plain,
% 11.75/7.81 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2834,plain,
% 11.75/7.81 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 11.75/7.81 tff(2835,plain,
% 11.75/7.81 (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)))),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2834, 2828])).
% 11.75/7.81 tff(2836,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2837,plain,
% 11.75/7.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2838,plain,
% 11.75/7.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2837, 2836])).
% 11.75/7.81 tff(2839,plain,
% 11.75/7.81 (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2838, 1275, 576])).
% 11.75/7.81 tff(2840,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2841,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2842,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2841, 2840])).
% 11.75/7.81 tff(2843,plain,
% 11.75/7.81 (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2842, 1275, 2593])).
% 11.75/7.81 tff(2844,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2845,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2846,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2845, 2844])).
% 11.75/7.81 tff(2847,plain,
% 11.75/7.81 (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2846, 1275, 2702])).
% 11.75/7.81 tff(2848,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2849,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2850,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2849, 2848])).
% 11.75/7.81 tff(2851,plain,
% 11.75/7.81 (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2850, 1275, 2710])).
% 11.75/7.81 tff(2852,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2853,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2854,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2853, 2852])).
% 11.75/7.81 tff(2855,plain,
% 11.75/7.81 (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2854, 1275, 2718])).
% 11.75/7.81 tff(2856,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2857,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b110(bitIndex0)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2858,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b110(bitIndex0))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2857, 2856])).
% 11.75/7.81 tff(2859,plain,
% 11.75/7.81 (v130(constB11, bitIndex0) <=> b110(bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2858, 1275, 2740])).
% 11.75/7.81 tff(2860,plain,
% 11.75/7.81 ((~b110(bitIndex0)) <=> (~b110(bitIndex0))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2861,axiom,(~b110(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_18')).
% 11.75/7.81 tff(2862,plain,
% 11.75/7.81 (~b110(bitIndex0)),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 11.75/7.81 tff(2863,plain,
% 11.75/7.81 ((~(v130(constB11, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB11, bitIndex0)) | b110(bitIndex0)),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2864,plain,
% 11.75/7.81 ((~(v130(constB11, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB11, bitIndex0))),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2863, 2862])).
% 11.75/7.81 tff(2865,plain,
% 11.75/7.81 (~v130(constB11, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2864, 2859])).
% 11.75/7.81 tff(2866,plain,
% 11.75/7.81 ((~(v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0))) | (~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2867,plain,
% 11.75/7.81 (~v127(constB11, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2866, 2865, 2855])).
% 11.75/7.81 tff(2868,plain,
% 11.75/7.81 ((~(v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0))) | (~v129(constB12, bitIndex0)) | v127(constB11, bitIndex0)),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2869,plain,
% 11.75/7.81 (~v129(constB12, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2868, 2867, 2851])).
% 11.75/7.81 tff(2870,plain,
% 11.75/7.81 ((~(v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0)),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2871,plain,
% 11.75/7.81 (~v90(constB12, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2870, 2869, 2847])).
% 11.75/7.81 tff(2872,plain,
% 11.75/7.81 ((~(v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0))) | (~v90(constB13, bitIndex0)) | v90(constB12, bitIndex0)),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2873,plain,
% 11.75/7.81 (~v90(constB13, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2872, 2871, 2843])).
% 11.75/7.81 tff(2874,plain,
% 11.75/7.81 ((~(v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0))) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0)),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2875,plain,
% 11.75/7.81 (~v88(constB13, bitIndex0)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2874, 2873, 2839])).
% 11.75/7.81 tff(2876,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2877,plain,
% 11.75/7.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2878,plain,
% 11.75/7.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2877, 2876])).
% 11.75/7.81 tff(2879,plain,
% 11.75/7.81 (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2878, 1288, 576])).
% 11.75/7.81 tff(2880,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2881,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2882,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 11.75/7.81 tff(2883,plain,
% 11.75/7.81 (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2882, 1288, 2593])).
% 11.75/7.81 tff(2884,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2885,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2886,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 11.75/7.81 tff(2887,plain,
% 11.75/7.81 (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2886, 1288, 2702])).
% 11.75/7.81 tff(2888,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2889,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2890,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 11.75/7.81 tff(2891,plain,
% 11.75/7.81 (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2890, 1288, 2710])).
% 11.75/7.81 tff(2892,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2893,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2894,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2893, 2892])).
% 11.75/7.81 tff(2895,plain,
% 11.75/7.81 (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2894, 1288, 2718])).
% 11.75/7.81 tff(2896,plain,
% 11.75/7.81 (((~![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)))),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2897,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b110(bitIndex1)))),
% 11.75/7.81 inference(quant_inst,[status(thm)],[])).
% 11.75/7.81 tff(2898,plain,
% 11.75/7.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b110(bitIndex1))),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 11.75/7.81 tff(2899,plain,
% 11.75/7.81 (v130(constB11, bitIndex1) <=> b110(bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2898, 1288, 2740])).
% 11.75/7.81 tff(2900,plain,
% 11.75/7.81 (b110(bitIndex1) <=> b110(bitIndex1)),
% 11.75/7.81 inference(rewrite,[status(thm)],[])).
% 11.75/7.81 tff(2901,axiom,(b110(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_19')).
% 11.75/7.81 tff(2902,plain,
% 11.75/7.81 (b110(bitIndex1)),
% 11.75/7.81 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 11.75/7.81 tff(2903,plain,
% 11.75/7.81 ((~(v130(constB11, bitIndex1) <=> b110(bitIndex1))) | v130(constB11, bitIndex1) | (~b110(bitIndex1))),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2904,plain,
% 11.75/7.81 ((~(v130(constB11, bitIndex1) <=> b110(bitIndex1))) | v130(constB11, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2903, 2902])).
% 11.75/7.81 tff(2905,plain,
% 11.75/7.81 (v130(constB11, bitIndex1)),
% 11.75/7.81 inference(unit_resolution,[status(thm)],[2904, 2899])).
% 11.75/7.81 tff(2906,plain,
% 11.75/7.81 ((~(v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1))) | v127(constB11, bitIndex1) | (~v130(constB11, bitIndex1))),
% 11.75/7.81 inference(tautology,[status(thm)],[])).
% 11.75/7.81 tff(2907,plain,
% 11.75/7.81 (v127(constB11, bitIndex1)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2906, 2905, 2895])).
% 11.75/7.82 tff(2908,plain,
% 11.75/7.82 ((~(v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1))) | v129(constB12, bitIndex1) | (~v127(constB11, bitIndex1))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2909,plain,
% 11.75/7.82 (v129(constB12, bitIndex1)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2908, 2907, 2891])).
% 11.75/7.82 tff(2910,plain,
% 11.75/7.82 ((~(v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2911,plain,
% 11.75/7.82 (v90(constB12, bitIndex1)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2910, 2909, 2887])).
% 11.75/7.82 tff(2912,plain,
% 11.75/7.82 ((~(v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1))) | v90(constB13, bitIndex1) | (~v90(constB12, bitIndex1))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2913,plain,
% 11.75/7.82 (v90(constB13, bitIndex1)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2912, 2911, 2883])).
% 11.75/7.82 tff(2914,plain,
% 11.75/7.82 ((~(v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1))) | v88(constB13, bitIndex1) | (~v90(constB13, bitIndex1))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2915,plain,
% 11.75/7.82 (v88(constB13, bitIndex1)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2914, 2913, 2879])).
% 11.75/7.82 tff(2916,plain,
% 11.75/7.82 ((~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2917,plain,
% 11.75/7.82 (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2916, 2915, 2875, 2760])).
% 11.75/7.82 tff(2918,plain,
% 11.75/7.82 ((~(v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))) | v144(constB13) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2919,plain,
% 11.75/7.82 (v144(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2918, 2917, 2835])).
% 11.75/7.82 tff(2920,plain,
% 11.75/7.82 ((v143(constB13) | v144(constB13)) | (~v144(constB13))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2921,plain,
% 11.75/7.82 (v143(constB13) | v144(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2920, 2919])).
% 11.75/7.82 tff(2922,plain,
% 11.75/7.82 ((~(v142(constB13) <=> (v143(constB13) | v144(constB13)))) | v142(constB13) | (~(v143(constB13) | v144(constB13)))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2923,plain,
% 11.75/7.82 (v142(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2922, 2921, 2815])).
% 11.75/7.82 tff(2924,plain,
% 11.75/7.82 ((v142(constB13) | v167(constB13)) | (~v142(constB13))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2925,plain,
% 11.75/7.82 (v142(constB13) | v167(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2924, 2923])).
% 11.75/7.82 tff(2926,plain,
% 11.75/7.82 ((~(v166(constB13) <=> (v142(constB13) | v167(constB13)))) | v166(constB13) | (~(v142(constB13) | v167(constB13)))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2927,plain,
% 11.75/7.82 (v166(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2926, 2925, 2806])).
% 11.75/7.82 tff(2928,plain,
% 11.75/7.82 ((v145(constB13) | v166(constB13)) | (~v166(constB13))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2929,plain,
% 11.75/7.82 (v145(constB13) | v166(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2928, 2927])).
% 11.75/7.82 tff(2930,plain,
% 11.75/7.82 ((~(v165(constB13) <=> (v145(constB13) | v166(constB13)))) | v165(constB13) | (~(v145(constB13) | v166(constB13)))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2931,plain,
% 11.75/7.82 (v165(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2930, 2929, 2794])).
% 11.75/7.82 tff(2932,plain,
% 11.75/7.82 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB13)) | (v162(constB13) <=> v169(constB13)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB13)) | (v162(constB13) <=> v169(constB13)))),
% 11.75/7.82 inference(rewrite,[status(thm)],[])).
% 11.75/7.82 tff(2933,plain,
% 11.75/7.82 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB13)) | (v162(constB13) <=> v169(constB13)))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(2934,plain,
% 11.75/7.82 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB13)) | (v162(constB13) <=> v169(constB13))),
% 11.75/7.82 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 11.75/7.82 tff(2935,plain,
% 11.75/7.82 ((~v165(constB13)) | (v162(constB13) <=> v169(constB13))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2934, 2426])).
% 11.75/7.82 tff(2936,plain,
% 11.75/7.82 (v162(constB13) <=> v169(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2935, 2931])).
% 11.75/7.82 tff(2937,plain,
% 11.75/7.82 ((~(v162(constB13) <=> v169(constB13))) | (~v162(constB13)) | v169(constB13)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2938,plain,
% 11.75/7.82 (~v162(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2937, 2936, 2792])).
% 11.75/7.82 tff(2939,plain,
% 11.75/7.82 ((~(v160(constB13) <=> v162(constB13))) | (~v160(constB13)) | v162(constB13)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2940,plain,
% 11.75/7.82 ((~(v160(constB13) <=> v162(constB13))) | (~v160(constB13))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2939, 2938])).
% 11.75/7.82 tff(2941,plain,
% 11.75/7.82 (~v160(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2940, 2562])).
% 11.75/7.82 tff(2942,plain,
% 11.75/7.82 (((~v184(constB13)) | (~v160(constB13))) | v160(constB13)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2943,plain,
% 11.75/7.82 ((~v184(constB13)) | (~v160(constB13))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2942, 2941])).
% 11.75/7.82 tff(2944,plain,
% 11.75/7.82 ((~(v187(constB13) <=> (~((~v184(constB13)) | (~v160(constB13)))))) | (~v187(constB13)) | (~((~v184(constB13)) | (~v160(constB13))))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2945,plain,
% 11.75/7.82 (~v187(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2944, 2943, 2560])).
% 11.75/7.82 tff(2946,plain,
% 11.75/7.82 (((~v186(constB13)) | (~v187(constB13))) | v187(constB13)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2947,plain,
% 11.75/7.82 ((~v186(constB13)) | (~v187(constB13))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2946, 2945])).
% 11.75/7.82 tff(2948,plain,
% 11.75/7.82 ((~(v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13)))))) | (~v185(constB13)) | (~((~v186(constB13)) | (~v187(constB13))))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2949,plain,
% 11.75/7.82 (~v185(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2948, 2947, 2558])).
% 11.75/7.82 tff(2950,plain,
% 11.75/7.82 ((~(v181(constB13) | v185(constB13))) | v181(constB13) | v185(constB13)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2951,plain,
% 11.75/7.82 (~(v181(constB13) | v185(constB13))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2950, 2949, 2556])).
% 11.75/7.82 tff(2952,plain,
% 11.75/7.82 ((~(v178(constB13) <=> (v181(constB13) | v185(constB13)))) | (~v178(constB13)) | (v181(constB13) | v185(constB13))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2953,plain,
% 11.75/7.82 (~v178(constB13)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2952, 2951, 2545])).
% 11.75/7.82 tff(2954,plain,
% 11.75/7.82 ((~(v180(constB14) <=> v178(constB13))) | (~v180(constB14)) | v178(constB13)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2955,plain,
% 11.75/7.82 (~v180(constB14)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2954, 2953, 2543])).
% 11.75/7.82 tff(2956,plain,
% 11.75/7.82 ((~(v158(constB14) <=> v180(constB14))) | (~v158(constB14)) | v180(constB14)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2957,plain,
% 11.75/7.82 (~v158(constB14)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2956, 2955, 2539])).
% 11.75/7.82 tff(2958,plain,
% 11.75/7.82 (((~v158(constB14)) | (~v182(constB14))) | v158(constB14)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2959,plain,
% 11.75/7.82 ((~v158(constB14)) | (~v182(constB14))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2958, 2957])).
% 11.75/7.82 tff(2960,plain,
% 11.75/7.82 ((~(v181(constB14) <=> (~((~v158(constB14)) | (~v182(constB14)))))) | (~v181(constB14)) | (~((~v158(constB14)) | (~v182(constB14))))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2961,plain,
% 11.75/7.82 (~v181(constB14)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2960, 2959, 2537])).
% 11.75/7.82 tff(2962,plain,
% 11.75/7.82 ((~(v181(constB14) | v185(constB14))) | v181(constB14) | v185(constB14)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2963,plain,
% 11.75/7.82 (~(v181(constB14) | v185(constB14))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2962, 2961, 2530])).
% 11.75/7.82 tff(2964,plain,
% 11.75/7.82 ((~(v178(constB14) <=> (v181(constB14) | v185(constB14)))) | (~v178(constB14)) | (v181(constB14) | v185(constB14))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2965,plain,
% 11.75/7.82 (~v178(constB14)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2964, 2963, 2517])).
% 11.75/7.82 tff(2966,plain,
% 11.75/7.82 ((~(v180(constB15) <=> v178(constB14))) | (~v180(constB15)) | v178(constB14)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2967,plain,
% 11.75/7.82 (~v180(constB15)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2966, 2965, 2515])).
% 11.75/7.82 tff(2968,plain,
% 11.75/7.82 ((~(v158(constB15) <=> v180(constB15))) | (~v158(constB15)) | v180(constB15)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2969,plain,
% 11.75/7.82 (~v158(constB15)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2968, 2967, 2511])).
% 11.75/7.82 tff(2970,plain,
% 11.75/7.82 (((~v158(constB15)) | (~v206(constB15))) | v158(constB15)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2971,plain,
% 11.75/7.82 ((~v158(constB15)) | (~v206(constB15))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2970, 2969])).
% 11.75/7.82 tff(2972,plain,
% 11.75/7.82 ((~(v205(constB15) <=> (~((~v158(constB15)) | (~v206(constB15)))))) | (~v205(constB15)) | (~((~v158(constB15)) | (~v206(constB15))))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2973,plain,
% 11.75/7.82 (~v205(constB15)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2972, 2971, 2509])).
% 11.75/7.82 tff(2974,plain,
% 11.75/7.82 ((~(v205(constB15) | v209(constB15))) | v205(constB15) | v209(constB15)),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2975,plain,
% 11.75/7.82 (~(v205(constB15) | v209(constB15))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2974, 2973, 2492])).
% 11.75/7.82 tff(2976,plain,
% 11.75/7.82 ((~(v204(constB15) <=> (v205(constB15) | v209(constB15)))) | (~v204(constB15)) | (v205(constB15) | v209(constB15))),
% 11.75/7.82 inference(tautology,[status(thm)],[])).
% 11.75/7.82 tff(2977,plain,
% 11.75/7.82 (~v204(constB15)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2976, 2975, 37])).
% 11.75/7.82 tff(2978,plain,
% 11.75/7.82 ($false),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2977, 28])).
% 11.75/7.82 tff(2979,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 11.75/7.82 tff(2980,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 11.75/7.82 tff(2981,plain,
% 11.75/7.82 (v204(constB117) <=> v204(VarCurr!0)),
% 11.75/7.82 inference(monotonicity,[status(thm)],[2980])).
% 11.75/7.82 tff(2982,plain,
% 11.75/7.82 (v204(VarCurr!0) <=> v204(constB117)),
% 11.75/7.82 inference(symmetry,[status(thm)],[2981])).
% 11.75/7.82 tff(2983,plain,
% 11.75/7.82 (v204(constB117)),
% 11.75/7.82 inference(modus_ponens,[status(thm)],[27, 2982])).
% 11.75/7.82 tff(2984,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB117) <=> (v205(constB117) | v209(constB117)))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(2985,plain,
% 11.75/7.82 (v204(constB117) <=> (v205(constB117) | v209(constB117))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2984, 35])).
% 11.75/7.82 tff(2986,plain,
% 11.75/7.82 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117))))))),
% 11.75/7.82 inference(rewrite,[status(thm)],[])).
% 11.75/7.82 tff(2987,plain,
% 11.75/7.82 ((v209(constB117) <=> (~((~v206(constB117)) | (~v191(constB117))))) <=> (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117)))))),
% 11.75/7.82 inference(rewrite,[status(thm)],[])).
% 11.75/7.82 tff(2988,plain,
% 11.75/7.82 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v206(constB117)) | (~v191(constB117)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117))))))),
% 11.75/7.82 inference(monotonicity,[status(thm)],[2987])).
% 11.75/7.82 tff(2989,plain,
% 11.75/7.82 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v206(constB117)) | (~v191(constB117)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117))))))),
% 11.75/7.82 inference(transitivity,[status(thm)],[2988, 2986])).
% 11.75/7.82 tff(2990,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v206(constB117)) | (~v191(constB117)))))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(2991,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117)))))),
% 11.75/7.82 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 11.75/7.82 tff(2992,plain,
% 11.75/7.82 (v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117))))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2991, 47])).
% 11.75/7.82 tff(2993,plain,
% 11.75/7.82 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB117) <=> v196(constB117))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(2994,plain,
% 11.75/7.82 (v191(constB117) <=> v196(constB117)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[2993, 64])).
% 11.75/7.82 tff(2995,plain,
% 11.75/7.82 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 11.75/7.82 inference(rewrite,[status(thm)],[])).
% 11.75/7.82 tff(2996,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116')).
% 11.75/7.82 tff(2997,plain,
% 11.75/7.82 (nextState(constB116, constB117)),
% 11.75/7.82 inference(modus_ponens,[status(thm)],[2996, 2995])).
% 11.75/7.82 tff(2998,plain,
% 11.75/7.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB116, constB117)) | (v196(constB117) <=> v194(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB116, constB117)) | (v196(constB117) <=> v194(constB116)))),
% 11.75/7.82 inference(rewrite,[status(thm)],[])).
% 11.75/7.82 tff(2999,plain,
% 11.75/7.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB116, constB117)) | (v196(constB117) <=> v194(constB116)))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(3000,plain,
% 11.75/7.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB116, constB117)) | (v196(constB117) <=> v194(constB116))),
% 11.75/7.82 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 11.75/7.82 tff(3001,plain,
% 11.75/7.82 (v196(constB117) <=> v194(constB116)),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[3000, 2997, 76])).
% 11.75/7.82 tff(3002,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB116) <=> (v197(constB116) | v198(constB116)))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(3003,plain,
% 11.75/7.82 (v194(constB116) <=> (v197(constB116) | v198(constB116))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[3002, 90])).
% 11.75/7.82 tff(3004,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB116) <=> (~((~v158(constB116)) | (~v199(constB116)))))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(3005,plain,
% 11.75/7.82 (v198(constB116) <=> (~((~v158(constB116)) | (~v199(constB116))))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[3004, 102])).
% 11.75/7.82 tff(3006,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB116) <=> (~((~v186(constB116)) | (~v200(constB116)))))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(3007,plain,
% 11.75/7.82 (v199(constB116) <=> (~((~v186(constB116)) | (~v200(constB116))))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[3006, 114])).
% 11.75/7.82 tff(3008,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB116) <=> (~((~v184(constB116)) | (~v84(constB116)))))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(3009,plain,
% 11.75/7.82 (v200(constB116) <=> (~((~v184(constB116)) | (~v84(constB116))))),
% 11.75/7.82 inference(unit_resolution,[status(thm)],[3008, 126])).
% 11.75/7.82 tff(3010,plain,
% 11.75/7.82 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 11.75/7.82 inference(quant_inst,[status(thm)],[])).
% 11.75/7.82 tff(3011,plain,
% 11.75/7.82 (v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3010, 138])).
% 11.75/7.83 tff(3012,plain,
% 11.75/7.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3013,plain,
% 11.75/7.83 ((~v39(constB116)) <=> v1(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3012, 147])).
% 11.75/7.83 tff(3014,plain,
% 11.75/7.83 (v1(constB116) <=> v1(constB116)),
% 11.75/7.83 inference(rewrite,[status(thm)],[])).
% 11.75/7.83 tff(3015,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116')).
% 11.75/7.83 tff(3016,plain,
% 11.75/7.83 (v1(constB116)),
% 11.75/7.83 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 11.75/7.83 tff(3017,plain,
% 11.75/7.83 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3018,plain,
% 11.75/7.83 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3017, 3016])).
% 11.75/7.83 tff(3019,plain,
% 11.75/7.83 (~v39(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3018, 3013])).
% 11.75/7.83 tff(3020,plain,
% 11.75/7.83 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3021,plain,
% 11.75/7.83 ((~v39(constB116)) | (~v9(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3020, 3019])).
% 11.75/7.83 tff(3022,plain,
% 11.75/7.83 ((~(v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v184(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3023,plain,
% 11.75/7.83 ((~(v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v184(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3022, 3021])).
% 11.75/7.83 tff(3024,plain,
% 11.75/7.83 (~v184(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3023, 3011])).
% 11.75/7.83 tff(3025,plain,
% 11.75/7.83 (((~v184(constB116)) | (~v84(constB116))) | v184(constB116)),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3026,plain,
% 11.75/7.83 ((~v184(constB116)) | (~v84(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3025, 3024])).
% 11.75/7.83 tff(3027,plain,
% 11.75/7.83 ((~(v200(constB116) <=> (~((~v184(constB116)) | (~v84(constB116)))))) | (~v200(constB116)) | (~((~v184(constB116)) | (~v84(constB116))))),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3028,plain,
% 11.75/7.83 ((~(v200(constB116) <=> (~((~v184(constB116)) | (~v84(constB116)))))) | (~v200(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3027, 3026])).
% 11.75/7.83 tff(3029,plain,
% 11.75/7.83 (~v200(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3028, 3009])).
% 11.75/7.83 tff(3030,plain,
% 11.75/7.83 (((~v186(constB116)) | (~v200(constB116))) | v200(constB116)),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3031,plain,
% 11.75/7.83 ((~v186(constB116)) | (~v200(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3030, 3029])).
% 11.75/7.83 tff(3032,plain,
% 11.75/7.83 ((~(v199(constB116) <=> (~((~v186(constB116)) | (~v200(constB116)))))) | (~v199(constB116)) | (~((~v186(constB116)) | (~v200(constB116))))),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3033,plain,
% 11.75/7.83 (~v199(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3032, 3031, 3007])).
% 11.75/7.83 tff(3034,plain,
% 11.75/7.83 (((~v158(constB116)) | (~v199(constB116))) | v199(constB116)),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3035,plain,
% 11.75/7.83 ((~v158(constB116)) | (~v199(constB116))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3034, 3033])).
% 11.75/7.83 tff(3036,plain,
% 11.75/7.83 ((~(v198(constB116) <=> (~((~v158(constB116)) | (~v199(constB116)))))) | (~v198(constB116)) | (~((~v158(constB116)) | (~v199(constB116))))),
% 11.75/7.83 inference(tautology,[status(thm)],[])).
% 11.75/7.83 tff(3037,plain,
% 11.75/7.83 (~v198(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3036, 3035, 3005])).
% 11.75/7.83 tff(3038,plain,
% 11.75/7.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB116) <=> (~((~v182(constB116)) | (~v191(constB116)))))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3039,plain,
% 11.75/7.83 (v197(constB116) <=> (~((~v182(constB116)) | (~v191(constB116))))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3038, 183])).
% 11.75/7.83 tff(3040,plain,
% 11.75/7.83 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB116) <=> v196(constB116))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3041,plain,
% 11.75/7.83 (v191(constB116) <=> v196(constB116)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3040, 64])).
% 11.75/7.83 tff(3042,plain,
% 11.75/7.83 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 11.75/7.83 inference(rewrite,[status(thm)],[])).
% 11.75/7.83 tff(3043,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115')).
% 11.75/7.83 tff(3044,plain,
% 11.75/7.83 (nextState(constB115, constB116)),
% 11.75/7.83 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 11.75/7.83 tff(3045,plain,
% 11.75/7.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB115, constB116)) | (v196(constB116) <=> v194(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB115, constB116)) | (v196(constB116) <=> v194(constB115)))),
% 11.75/7.83 inference(rewrite,[status(thm)],[])).
% 11.75/7.83 tff(3046,plain,
% 11.75/7.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB115, constB116)) | (v196(constB116) <=> v194(constB115)))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3047,plain,
% 11.75/7.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB115, constB116)) | (v196(constB116) <=> v194(constB115))),
% 11.75/7.83 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 11.75/7.83 tff(3048,plain,
% 11.75/7.83 (v196(constB116) <=> v194(constB115)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3047, 3044, 76])).
% 11.75/7.83 tff(3049,plain,
% 11.75/7.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB115) <=> (v197(constB115) | v198(constB115)))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3050,plain,
% 11.75/7.83 (v194(constB115) <=> (v197(constB115) | v198(constB115))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3049, 90])).
% 11.75/7.83 tff(3051,plain,
% 11.75/7.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB115) <=> (~((~v182(constB115)) | (~v191(constB115)))))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3052,plain,
% 11.75/7.83 (v197(constB115) <=> (~((~v182(constB115)) | (~v191(constB115))))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3051, 183])).
% 11.75/7.83 tff(3053,plain,
% 11.75/7.83 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB115)) <=> v183(constB115))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3054,plain,
% 11.75/7.83 ((~v182(constB115)) <=> v183(constB115)),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3053, 205])).
% 11.75/7.83 tff(3055,plain,
% 11.75/7.83 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB115) <=> (v184(constB115) | v26(constB115)))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3056,plain,
% 11.75/7.83 (v183(constB115) <=> (v184(constB115) | v26(constB115))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3055, 214])).
% 11.75/7.83 tff(3057,plain,
% 11.75/7.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3058,plain,
% 11.75/7.83 (v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 11.75/7.83 inference(unit_resolution,[status(thm)],[3057, 138])).
% 11.75/7.83 tff(3059,plain,
% 11.75/7.83 (((~![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)))),
% 11.75/7.83 inference(rewrite,[status(thm)],[])).
% 11.75/7.83 tff(3060,plain,
% 11.75/7.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 11.75/7.83 inference(quant_inst,[status(thm)],[])).
% 11.75/7.83 tff(3061,plain,
% 11.75/7.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 11.83/7.83 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 11.83/7.83 tff(3062,plain,
% 11.83/7.83 (v13(constB116) <=> v9(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3061, 3044, 228])).
% 11.83/7.83 tff(3063,plain,
% 11.83/7.83 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3064,plain,
% 11.83/7.83 (v6(constB116) <=> v13(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3063, 242])).
% 11.83/7.83 tff(3065,plain,
% 11.83/7.83 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3066,plain,
% 11.83/7.83 ((~v21(constB116)) <=> v6(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3065, 251])).
% 11.83/7.83 tff(3067,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3068,plain,
% 11.83/7.83 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3067, 260])).
% 11.83/7.83 tff(3069,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3070,plain,
% 11.83/7.83 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3069, 272])).
% 11.83/7.83 tff(3071,plain,
% 11.83/7.83 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3072,plain,
% 11.83/7.83 ((~v4(constB116)) <=> v18(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3071, 281])).
% 11.83/7.83 tff(3073,plain,
% 11.83/7.83 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB116)),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3074,plain,
% 11.83/7.83 (v4(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3073, 290])).
% 11.83/7.83 tff(3075,plain,
% 11.83/7.83 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3076,plain,
% 11.83/7.83 (~v18(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3075, 3074, 3072])).
% 11.83/7.83 tff(3077,plain,
% 11.83/7.83 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3078,plain,
% 11.83/7.83 ((~v19(constB116)) | (~v22(constB116))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3077, 3076, 3070])).
% 11.83/7.83 tff(3079,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3080,plain,
% 11.83/7.83 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3079, 303])).
% 11.83/7.83 tff(3081,plain,
% 11.83/7.83 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3082,plain,
% 11.83/7.83 (v1(constB116) | v6(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3081, 3016])).
% 11.83/7.83 tff(3083,plain,
% 11.83/7.83 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3084,plain,
% 11.83/7.83 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3083, 3082])).
% 11.83/7.83 tff(3085,plain,
% 11.83/7.83 (v22(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3084, 3080])).
% 11.83/7.83 tff(3086,plain,
% 11.83/7.83 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3087,plain,
% 11.83/7.83 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3086, 3085])).
% 11.83/7.83 tff(3088,plain,
% 11.83/7.83 (~v19(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3087, 3078])).
% 11.83/7.83 tff(3089,plain,
% 11.83/7.83 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3090,plain,
% 11.83/7.83 (~(v20(constB116) | v21(constB116))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3089, 3088, 3068])).
% 11.83/7.83 tff(3091,plain,
% 11.83/7.83 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3092,plain,
% 11.83/7.83 (~v21(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3091, 3090])).
% 11.83/7.83 tff(3093,plain,
% 11.83/7.83 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3094,plain,
% 11.83/7.83 (v6(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3093, 3092, 3066])).
% 11.83/7.83 tff(3095,plain,
% 11.83/7.83 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3096,plain,
% 11.83/7.83 (v13(constB116)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3095, 3094, 3064])).
% 11.83/7.83 tff(3097,plain,
% 11.83/7.83 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3098,plain,
% 11.83/7.83 (v9(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3097, 3096, 3062])).
% 11.83/7.83 tff(3099,plain,
% 11.83/7.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3100,plain,
% 11.83/7.83 ((~v39(constB115)) <=> v1(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3099, 147])).
% 11.83/7.83 tff(3101,plain,
% 11.83/7.83 ((~v1(constB115)) <=> (~v1(constB115))),
% 11.83/7.83 inference(rewrite,[status(thm)],[])).
% 11.83/7.83 tff(3102,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115')).
% 11.83/7.83 tff(3103,plain,
% 11.83/7.83 (~v1(constB115)),
% 11.83/7.83 inference(modus_ponens,[status(thm)],[3102, 3101])).
% 11.83/7.83 tff(3104,plain,
% 11.83/7.83 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3105,plain,
% 11.83/7.83 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3104, 3103])).
% 11.83/7.83 tff(3106,plain,
% 11.83/7.83 (v39(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3105, 3100])).
% 11.83/7.83 tff(3107,plain,
% 11.83/7.83 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3108,plain,
% 11.83/7.83 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3107, 3106])).
% 11.83/7.83 tff(3109,plain,
% 11.83/7.83 (~((~v39(constB115)) | (~v9(constB115)))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3108, 3098])).
% 11.83/7.83 tff(3110,plain,
% 11.83/7.83 ((~(v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v184(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3111,plain,
% 11.83/7.83 (v184(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3110, 3109, 3058])).
% 11.83/7.83 tff(3112,plain,
% 11.83/7.83 ((v184(constB115) | v26(constB115)) | (~v184(constB115))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3113,plain,
% 11.83/7.83 (v184(constB115) | v26(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3112, 3111])).
% 11.83/7.83 tff(3114,plain,
% 11.83/7.83 ((~(v183(constB115) <=> (v184(constB115) | v26(constB115)))) | v183(constB115) | (~(v184(constB115) | v26(constB115)))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3115,plain,
% 11.83/7.83 (v183(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3114, 3113, 3056])).
% 11.83/7.83 tff(3116,plain,
% 11.83/7.83 ((~((~v182(constB115)) <=> v183(constB115))) | (~v182(constB115)) | (~v183(constB115))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3117,plain,
% 11.83/7.83 (~v182(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3116, 3115, 3054])).
% 11.83/7.83 tff(3118,plain,
% 11.83/7.83 (((~v182(constB115)) | (~v191(constB115))) | v182(constB115)),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3119,plain,
% 11.83/7.83 ((~v182(constB115)) | (~v191(constB115))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3118, 3117])).
% 11.83/7.83 tff(3120,plain,
% 11.83/7.83 ((~(v197(constB115) <=> (~((~v182(constB115)) | (~v191(constB115)))))) | (~v197(constB115)) | (~((~v182(constB115)) | (~v191(constB115))))),
% 11.83/7.83 inference(tautology,[status(thm)],[])).
% 11.83/7.83 tff(3121,plain,
% 11.83/7.83 (~v197(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3120, 3119, 3052])).
% 11.83/7.83 tff(3122,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB115) <=> (~((~v158(constB115)) | (~v199(constB115)))))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3123,plain,
% 11.83/7.83 (v198(constB115) <=> (~((~v158(constB115)) | (~v199(constB115))))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3122, 102])).
% 11.83/7.83 tff(3124,plain,
% 11.83/7.83 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB115) <=> v180(constB115))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3125,plain,
% 11.83/7.83 (v158(constB115) <=> v180(constB115)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3124, 358])).
% 11.83/7.83 tff(3126,plain,
% 11.83/7.83 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 11.83/7.83 inference(rewrite,[status(thm)],[])).
% 11.83/7.83 tff(3127,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114')).
% 11.83/7.83 tff(3128,plain,
% 11.83/7.83 (nextState(constB114, constB115)),
% 11.83/7.83 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 11.83/7.83 tff(3129,plain,
% 11.83/7.83 (((~![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)))),
% 11.83/7.83 inference(rewrite,[status(thm)],[])).
% 11.83/7.83 tff(3130,plain,
% 11.83/7.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3131,plain,
% 11.83/7.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114))),
% 11.83/7.83 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 11.83/7.83 tff(3132,plain,
% 11.83/7.83 (v180(constB115) <=> v178(constB114)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3131, 3128, 370])).
% 11.83/7.83 tff(3133,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB114) <=> (v181(constB114) | v185(constB114)))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3134,plain,
% 11.83/7.83 (v178(constB114) <=> (v181(constB114) | v185(constB114))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3133, 384])).
% 11.83/7.83 tff(3135,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114)))))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3136,plain,
% 11.83/7.83 (v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114))))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3135, 396])).
% 11.83/7.83 tff(3137,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB114) <=> (~((~v184(constB114)) | (~v160(constB114)))))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3138,plain,
% 11.83/7.83 (v187(constB114) <=> (~((~v184(constB114)) | (~v160(constB114))))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3137, 408])).
% 11.83/7.83 tff(3139,plain,
% 11.83/7.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3140,plain,
% 11.83/7.83 (v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114))))),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3139, 138])).
% 11.83/7.83 tff(3141,plain,
% 11.83/7.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB114)) <=> v1(constB114))),
% 11.83/7.83 inference(quant_inst,[status(thm)],[])).
% 11.83/7.83 tff(3142,plain,
% 11.83/7.83 ((~v39(constB114)) <=> v1(constB114)),
% 11.83/7.83 inference(unit_resolution,[status(thm)],[3141, 147])).
% 11.83/7.83 tff(3143,plain,
% 11.83/7.83 (v1(constB114) <=> v1(constB114)),
% 11.83/7.83 inference(rewrite,[status(thm)],[])).
% 11.83/7.83 tff(3144,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114')).
% 11.83/7.83 tff(3145,plain,
% 11.83/7.83 (v1(constB114)),
% 11.83/7.83 inference(modus_ponens,[status(thm)],[3144, 3143])).
% 11.83/7.83 tff(3146,plain,
% 11.83/7.84 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114)) | (~v1(constB114))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3147,plain,
% 11.83/7.84 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3146, 3145])).
% 11.83/7.84 tff(3148,plain,
% 11.83/7.84 (~v39(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3147, 3142])).
% 11.83/7.84 tff(3149,plain,
% 11.83/7.84 (((~v39(constB114)) | (~v9(constB114))) | v39(constB114)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3150,plain,
% 11.83/7.84 ((~v39(constB114)) | (~v9(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3149, 3148])).
% 11.83/7.84 tff(3151,plain,
% 11.83/7.84 ((~(v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v184(constB114)) | (~((~v39(constB114)) | (~v9(constB114))))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3152,plain,
% 11.83/7.84 ((~(v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v184(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3151, 3150])).
% 11.83/7.84 tff(3153,plain,
% 11.83/7.84 (~v184(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3152, 3140])).
% 11.83/7.84 tff(3154,plain,
% 11.83/7.84 (((~v184(constB114)) | (~v160(constB114))) | v184(constB114)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3155,plain,
% 11.83/7.84 ((~v184(constB114)) | (~v160(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3154, 3153])).
% 11.83/7.84 tff(3156,plain,
% 11.83/7.84 ((~(v187(constB114) <=> (~((~v184(constB114)) | (~v160(constB114)))))) | (~v187(constB114)) | (~((~v184(constB114)) | (~v160(constB114))))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3157,plain,
% 11.83/7.84 ((~(v187(constB114) <=> (~((~v184(constB114)) | (~v160(constB114)))))) | (~v187(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3156, 3155])).
% 11.83/7.84 tff(3158,plain,
% 11.83/7.84 (~v187(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3157, 3138])).
% 11.83/7.84 tff(3159,plain,
% 11.83/7.84 (((~v186(constB114)) | (~v187(constB114))) | v187(constB114)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3160,plain,
% 11.83/7.84 ((~v186(constB114)) | (~v187(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3159, 3158])).
% 11.83/7.84 tff(3161,plain,
% 11.83/7.84 ((~(v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114)))))) | (~v185(constB114)) | (~((~v186(constB114)) | (~v187(constB114))))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3162,plain,
% 11.83/7.84 (~v185(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3161, 3160, 3136])).
% 11.83/7.84 tff(3163,plain,
% 11.83/7.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114))))))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3164,plain,
% 11.83/7.84 ((v181(constB114) <=> (~((~v182(constB114)) | (~v158(constB114))))) <=> (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114)))))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3165,plain,
% 11.83/7.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v158(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114))))))),
% 11.83/7.84 inference(monotonicity,[status(thm)],[3164])).
% 11.83/7.84 tff(3166,plain,
% 11.83/7.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v158(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114))))))),
% 11.83/7.84 inference(transitivity,[status(thm)],[3165, 3163])).
% 11.83/7.84 tff(3167,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v158(constB114)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3168,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114)))))),
% 11.83/7.84 inference(modus_ponens,[status(thm)],[3167, 3166])).
% 11.83/7.84 tff(3169,plain,
% 11.83/7.84 (v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3168, 444])).
% 11.83/7.84 tff(3170,plain,
% 11.83/7.84 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB114) <=> v180(constB114))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3171,plain,
% 11.83/7.84 (v158(constB114) <=> v180(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3170, 358])).
% 11.83/7.84 tff(3172,plain,
% 11.83/7.84 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3173,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113')).
% 11.83/7.84 tff(3174,plain,
% 11.83/7.84 (nextState(constB113, constB114)),
% 11.83/7.84 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 11.83/7.84 tff(3175,plain,
% 11.83/7.84 (((~![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)))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3176,plain,
% 11.83/7.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3177,plain,
% 11.83/7.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113))),
% 11.83/7.84 inference(modus_ponens,[status(thm)],[3176, 3175])).
% 11.83/7.84 tff(3178,plain,
% 11.83/7.84 (v180(constB114) <=> v178(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3177, 3174, 370])).
% 11.83/7.84 tff(3179,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB113) <=> (v181(constB113) | v185(constB113)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3180,plain,
% 11.83/7.84 (v178(constB113) <=> (v181(constB113) | v185(constB113))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3179, 384])).
% 11.83/7.84 tff(3181,plain,
% 11.83/7.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113))))))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3182,plain,
% 11.83/7.84 ((v181(constB113) <=> (~((~v182(constB113)) | (~v158(constB113))))) <=> (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113)))))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3183,plain,
% 11.83/7.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v158(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113))))))),
% 11.83/7.84 inference(monotonicity,[status(thm)],[3182])).
% 11.83/7.84 tff(3184,plain,
% 11.83/7.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v158(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113))))))),
% 11.83/7.84 inference(transitivity,[status(thm)],[3183, 3181])).
% 11.83/7.84 tff(3185,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v158(constB113)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3186,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113)))))),
% 11.83/7.84 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 11.83/7.84 tff(3187,plain,
% 11.83/7.84 (v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3186, 444])).
% 11.83/7.84 tff(3188,plain,
% 11.83/7.84 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB113)) <=> v183(constB113))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3189,plain,
% 11.83/7.84 ((~v182(constB113)) <=> v183(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3188, 205])).
% 11.83/7.84 tff(3190,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB113) <=> (v184(constB113) | v26(constB113)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3191,plain,
% 11.83/7.84 (v183(constB113) <=> (v184(constB113) | v26(constB113))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3190, 214])).
% 11.83/7.84 tff(3192,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3193,plain,
% 11.83/7.84 (v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3192, 138])).
% 11.83/7.84 tff(3194,plain,
% 11.83/7.84 (((~![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)))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3195,plain,
% 11.83/7.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3196,plain,
% 11.83/7.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113))),
% 11.83/7.84 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 11.83/7.84 tff(3197,plain,
% 11.83/7.84 (v13(constB114) <=> v9(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3196, 3174, 228])).
% 11.83/7.84 tff(3198,plain,
% 11.83/7.84 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB114) <=> v13(constB114))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3199,plain,
% 11.83/7.84 (v6(constB114) <=> v13(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3198, 242])).
% 11.83/7.84 tff(3200,plain,
% 11.83/7.84 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB114)) <=> v6(constB114))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3201,plain,
% 11.83/7.84 ((~v21(constB114)) <=> v6(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3200, 251])).
% 11.83/7.84 tff(3202,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB114) <=> (v20(constB114) | v21(constB114)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3203,plain,
% 11.83/7.84 (v19(constB114) <=> (v20(constB114) | v21(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3202, 260])).
% 11.83/7.84 tff(3204,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3205,plain,
% 11.83/7.84 (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3204, 272])).
% 11.83/7.84 tff(3206,plain,
% 11.83/7.84 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB114)) <=> v18(constB114))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3207,plain,
% 11.83/7.84 ((~v4(constB114)) <=> v18(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3206, 281])).
% 11.83/7.84 tff(3208,plain,
% 11.83/7.84 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB114)),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3209,plain,
% 11.83/7.84 (v4(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3208, 290])).
% 11.83/7.84 tff(3210,plain,
% 11.83/7.84 ((~((~v4(constB114)) <=> v18(constB114))) | (~v4(constB114)) | (~v18(constB114))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3211,plain,
% 11.83/7.84 (~v18(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3210, 3209, 3207])).
% 11.83/7.84 tff(3212,plain,
% 11.83/7.84 ((~(v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))) | v18(constB114) | ((~v19(constB114)) | (~v22(constB114)))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3213,plain,
% 11.83/7.84 ((~v19(constB114)) | (~v22(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3212, 3211, 3205])).
% 11.83/7.84 tff(3214,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB114) <=> (v1(constB114) | v6(constB114)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3215,plain,
% 11.83/7.84 (v22(constB114) <=> (v1(constB114) | v6(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3214, 303])).
% 11.83/7.84 tff(3216,plain,
% 11.83/7.84 ((v1(constB114) | v6(constB114)) | (~v1(constB114))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3217,plain,
% 11.83/7.84 (v1(constB114) | v6(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3216, 3145])).
% 11.83/7.84 tff(3218,plain,
% 11.83/7.84 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114) | (~(v1(constB114) | v6(constB114)))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3219,plain,
% 11.83/7.84 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3218, 3217])).
% 11.83/7.84 tff(3220,plain,
% 11.83/7.84 (v22(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3219, 3215])).
% 11.83/7.84 tff(3221,plain,
% 11.83/7.84 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114)) | (~v22(constB114))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3222,plain,
% 11.83/7.84 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3221, 3220])).
% 11.83/7.84 tff(3223,plain,
% 11.83/7.84 (~v19(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3222, 3213])).
% 11.83/7.84 tff(3224,plain,
% 11.83/7.84 ((~(v19(constB114) <=> (v20(constB114) | v21(constB114)))) | v19(constB114) | (~(v20(constB114) | v21(constB114)))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3225,plain,
% 11.83/7.84 (~(v20(constB114) | v21(constB114))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3224, 3223, 3203])).
% 11.83/7.84 tff(3226,plain,
% 11.83/7.84 ((v20(constB114) | v21(constB114)) | (~v21(constB114))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3227,plain,
% 11.83/7.84 (~v21(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3226, 3225])).
% 11.83/7.84 tff(3228,plain,
% 11.83/7.84 ((~((~v21(constB114)) <=> v6(constB114))) | v21(constB114) | v6(constB114)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3229,plain,
% 11.83/7.84 (v6(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3228, 3227, 3201])).
% 11.83/7.84 tff(3230,plain,
% 11.83/7.84 ((~(v6(constB114) <=> v13(constB114))) | (~v6(constB114)) | v13(constB114)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3231,plain,
% 11.83/7.84 (v13(constB114)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3230, 3229, 3199])).
% 11.83/7.84 tff(3232,plain,
% 11.83/7.84 ((~(v13(constB114) <=> v9(constB113))) | (~v13(constB114)) | v9(constB113)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3233,plain,
% 11.83/7.84 (v9(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3232, 3231, 3197])).
% 11.83/7.84 tff(3234,plain,
% 11.83/7.84 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB113)) <=> v1(constB113))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3235,plain,
% 11.83/7.84 ((~v39(constB113)) <=> v1(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3234, 147])).
% 11.83/7.84 tff(3236,plain,
% 11.83/7.84 ((~v1(constB113)) <=> (~v1(constB113))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3237,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113')).
% 11.83/7.84 tff(3238,plain,
% 11.83/7.84 (~v1(constB113)),
% 11.83/7.84 inference(modus_ponens,[status(thm)],[3237, 3236])).
% 11.83/7.84 tff(3239,plain,
% 11.83/7.84 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113) | v1(constB113)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3240,plain,
% 11.83/7.84 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3239, 3238])).
% 11.83/7.84 tff(3241,plain,
% 11.83/7.84 (v39(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3240, 3235])).
% 11.83/7.84 tff(3242,plain,
% 11.83/7.84 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v39(constB113)) | (~v9(constB113))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3243,plain,
% 11.83/7.84 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v9(constB113))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3242, 3241])).
% 11.83/7.84 tff(3244,plain,
% 11.83/7.84 (~((~v39(constB113)) | (~v9(constB113)))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3243, 3233])).
% 11.83/7.84 tff(3245,plain,
% 11.83/7.84 ((~(v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))) | v184(constB113) | ((~v39(constB113)) | (~v9(constB113)))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3246,plain,
% 11.83/7.84 (v184(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3245, 3244, 3193])).
% 11.83/7.84 tff(3247,plain,
% 11.83/7.84 ((v184(constB113) | v26(constB113)) | (~v184(constB113))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3248,plain,
% 11.83/7.84 (v184(constB113) | v26(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3247, 3246])).
% 11.83/7.84 tff(3249,plain,
% 11.83/7.84 ((~(v183(constB113) <=> (v184(constB113) | v26(constB113)))) | v183(constB113) | (~(v184(constB113) | v26(constB113)))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3250,plain,
% 11.83/7.84 (v183(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3249, 3248, 3191])).
% 11.83/7.84 tff(3251,plain,
% 11.83/7.84 ((~((~v182(constB113)) <=> v183(constB113))) | (~v182(constB113)) | (~v183(constB113))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3252,plain,
% 11.83/7.84 (~v182(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3251, 3250, 3189])).
% 11.83/7.84 tff(3253,plain,
% 11.83/7.84 (((~v158(constB113)) | (~v182(constB113))) | v182(constB113)),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3254,plain,
% 11.83/7.84 ((~v158(constB113)) | (~v182(constB113))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3253, 3252])).
% 11.83/7.84 tff(3255,plain,
% 11.83/7.84 ((~(v181(constB113) <=> (~((~v158(constB113)) | (~v182(constB113)))))) | (~v181(constB113)) | (~((~v158(constB113)) | (~v182(constB113))))),
% 11.83/7.84 inference(tautology,[status(thm)],[])).
% 11.83/7.84 tff(3256,plain,
% 11.83/7.84 (~v181(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3255, 3254, 3187])).
% 11.83/7.84 tff(3257,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3258,plain,
% 11.83/7.84 (v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3257, 396])).
% 11.83/7.84 tff(3259,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB113) <=> (~((~v184(constB113)) | (~v160(constB113)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3260,plain,
% 11.83/7.84 (v187(constB113) <=> (~((~v184(constB113)) | (~v160(constB113))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3259, 408])).
% 11.83/7.84 tff(3261,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB113) <=> v162(constB113))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3262,plain,
% 11.83/7.84 (v160(constB113) <=> v162(constB113)),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3261, 549])).
% 11.83/7.84 tff(3263,plain,
% 11.83/7.84 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | (~v88(constB113, bitIndex0)))))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3264,plain,
% 11.83/7.84 (v141(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | (~v88(constB113, bitIndex0))))),
% 11.83/7.84 inference(unit_resolution,[status(thm)],[3263, 564])).
% 11.83/7.84 tff(3265,plain,
% 11.83/7.84 (((~![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)))),
% 11.83/7.84 inference(rewrite,[status(thm)],[])).
% 11.83/7.84 tff(3266,plain,
% 11.83/7.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0)))),
% 11.83/7.84 inference(quant_inst,[status(thm)],[])).
% 11.83/7.84 tff(3267,plain,
% 11.83/7.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 11.83/7.85 tff(3268,plain,
% 11.83/7.85 (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3267, 1275, 576])).
% 11.83/7.85 tff(3269,plain,
% 11.83/7.85 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3270,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112')).
% 11.83/7.85 tff(3271,plain,
% 11.83/7.85 (nextState(constB112, constB113)),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 11.83/7.85 tff(3272,plain,
% 11.83/7.85 (((~![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))))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3273,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3274,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 11.83/7.85 tff(3275,plain,
% 11.83/7.85 (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3274, 3271, 596])).
% 11.83/7.85 tff(3276,plain,
% 11.83/7.85 (((~![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))))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3277,plain,
% 11.83/7.85 (((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3278,plain,
% 11.83/7.85 (((~![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)))))))),
% 11.83/7.85 inference(monotonicity,[status(thm)],[3277])).
% 11.83/7.85 tff(3279,plain,
% 11.83/7.85 (((~![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))))))),
% 11.83/7.85 inference(transitivity,[status(thm)],[3278, 3276])).
% 11.83/7.85 tff(3280,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3281,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3280, 3279])).
% 11.83/7.85 tff(3282,plain,
% 11.83/7.85 (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3281, 3271, 616])).
% 11.83/7.85 tff(3283,plain,
% 11.83/7.85 (((~v1(constB113)) | (~v102(constB113))) | v1(constB113)),
% 11.83/7.85 inference(tautology,[status(thm)],[])).
% 11.83/7.85 tff(3284,plain,
% 11.83/7.85 ((~v1(constB113)) | (~v102(constB113))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3283, 3238])).
% 11.83/7.85 tff(3285,plain,
% 11.83/7.85 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113)) | (~((~v1(constB113)) | (~v102(constB113))))),
% 11.83/7.85 inference(tautology,[status(thm)],[])).
% 11.83/7.85 tff(3286,plain,
% 11.83/7.85 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3285, 3284])).
% 11.83/7.85 tff(3287,plain,
% 11.83/7.85 (~v101(constB113)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3286, 3282])).
% 11.83/7.85 tff(3288,plain,
% 11.83/7.85 (((~v101(constB113)) | (~v110(constB113))) | v101(constB113)),
% 11.83/7.85 inference(tautology,[status(thm)],[])).
% 11.83/7.85 tff(3289,plain,
% 11.83/7.85 ((~v101(constB113)) | (~v110(constB113))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3288, 3287])).
% 11.83/7.85 tff(3290,plain,
% 11.83/7.85 ((~(v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))) | (~v100(constB113)) | (~((~v101(constB113)) | (~v110(constB113))))),
% 11.83/7.85 inference(tautology,[status(thm)],[])).
% 11.83/7.85 tff(3291,plain,
% 11.83/7.85 (~v100(constB113)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3290, 3289, 3275])).
% 11.83/7.85 tff(3292,plain,
% 11.83/7.85 (((~![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))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3293,plain,
% 11.83/7.85 ((~![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))))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3294,plain,
% 11.83/7.85 ((~![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)))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3293, 3292])).
% 11.83/7.85 tff(3295,plain,
% 11.83/7.85 (v100(constB113) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3294, 3271, 645])).
% 11.83/7.85 tff(3296,plain,
% 11.83/7.85 (![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3295, 3291])).
% 11.83/7.85 tff(3297,plain,
% 11.83/7.85 (((~![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)))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3298,plain,
% 11.83/7.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3299,plain,
% 11.83/7.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3298, 3297])).
% 11.83/7.85 tff(3300,plain,
% 11.83/7.85 (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3299, 1275, 3296])).
% 11.83/7.85 tff(3301,plain,
% 11.83/7.85 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3302,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111')).
% 11.83/7.85 tff(3303,plain,
% 11.83/7.85 (nextState(constB111, constB112)),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 11.83/7.85 tff(3304,plain,
% 11.83/7.85 (((~![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))))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3305,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3306,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3305, 3304])).
% 11.83/7.85 tff(3307,plain,
% 11.83/7.85 (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3306, 3303, 596])).
% 11.83/7.85 tff(3308,plain,
% 11.83/7.85 (((~![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))))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3309,plain,
% 11.83/7.85 (((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3310,plain,
% 11.83/7.85 (((~![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)))))))),
% 11.83/7.85 inference(monotonicity,[status(thm)],[3309])).
% 11.83/7.85 tff(3311,plain,
% 11.83/7.85 (((~![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))))))),
% 11.83/7.85 inference(transitivity,[status(thm)],[3310, 3308])).
% 11.83/7.85 tff(3312,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3313,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 11.83/7.85 tff(3314,plain,
% 11.83/7.85 (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3313, 3303, 616])).
% 11.83/7.85 tff(3315,plain,
% 11.83/7.85 (((~![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)))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3316,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3317,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 11.83/7.85 tff(3318,plain,
% 11.83/7.85 ((~v102(constB112)) <=> v104(constB112)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3317, 3303, 678])).
% 11.83/7.85 tff(3319,plain,
% 11.83/7.85 (((~![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)))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3320,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 11.83/7.85 inference(quant_inst,[status(thm)],[])).
% 11.83/7.85 tff(3321,plain,
% 11.83/7.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111))),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 11.83/7.85 tff(3322,plain,
% 11.83/7.85 (v104(constB112) <=> v1(constB111)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3321, 3303, 692])).
% 11.83/7.85 tff(3323,plain,
% 11.83/7.85 ((~v1(constB111)) <=> (~v1(constB111))),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3324,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111')).
% 11.83/7.85 tff(3325,plain,
% 11.83/7.85 (~v1(constB111)),
% 11.83/7.85 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 11.83/7.85 tff(3326,plain,
% 11.83/7.85 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112)) | v1(constB111)),
% 11.83/7.85 inference(tautology,[status(thm)],[])).
% 11.83/7.85 tff(3327,plain,
% 11.83/7.85 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112))),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3326, 3325])).
% 11.83/7.85 tff(3328,plain,
% 11.83/7.85 (~v104(constB112)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3327, 3322])).
% 11.83/7.85 tff(3329,plain,
% 11.83/7.85 ((~((~v102(constB112)) <=> v104(constB112))) | v102(constB112) | v104(constB112)),
% 11.83/7.85 inference(tautology,[status(thm)],[])).
% 11.83/7.85 tff(3330,plain,
% 11.83/7.85 (v102(constB112)),
% 11.83/7.85 inference(unit_resolution,[status(thm)],[3329, 3328, 3318])).
% 11.83/7.85 tff(3331,plain,
% 11.83/7.85 (v1(constB112) <=> v1(constB112)),
% 11.83/7.85 inference(rewrite,[status(thm)],[])).
% 11.83/7.85 tff(3332,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112')).
% 11.83/7.85 tff(3333,plain,
% 11.83/7.85 (v1(constB112)),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 11.83/7.86 tff(3334,plain,
% 11.83/7.86 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v1(constB112)) | (~v102(constB112))),
% 11.83/7.86 inference(tautology,[status(thm)],[])).
% 11.83/7.86 tff(3335,plain,
% 11.83/7.86 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v102(constB112))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3334, 3333])).
% 11.83/7.86 tff(3336,plain,
% 11.83/7.86 (~((~v1(constB112)) | (~v102(constB112)))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3335, 3330])).
% 11.83/7.86 tff(3337,plain,
% 11.83/7.86 ((~(v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))) | v101(constB112) | ((~v1(constB112)) | (~v102(constB112)))),
% 11.83/7.86 inference(tautology,[status(thm)],[])).
% 11.83/7.86 tff(3338,plain,
% 11.83/7.86 (v101(constB112)),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3337, 3336, 3314])).
% 11.83/7.86 tff(3339,plain,
% 11.83/7.86 (((~![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)))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3340,plain,
% 11.83/7.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3341,plain,
% 11.83/7.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111))),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 11.83/7.86 tff(3342,plain,
% 11.83/7.86 (v110(constB112) <=> v108(constB111)),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3341, 3303, 722])).
% 11.83/7.86 tff(3343,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB111) <=> (v111(constB111) | v112(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3344,plain,
% 11.83/7.86 (v108(constB111) <=> (v111(constB111) | v112(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3343, 733])).
% 11.83/7.86 tff(3345,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3346,plain,
% 11.83/7.86 (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111))))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3345, 745])).
% 11.83/7.86 tff(3347,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB111) <=> (v114(constB111) | v125(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3348,plain,
% 11.83/7.86 (v113(constB111) <=> (v114(constB111) | v125(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3347, 754])).
% 11.83/7.86 tff(3349,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB111) <=> (v115(constB111) | v124(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3350,plain,
% 11.83/7.86 (v114(constB111) <=> (v115(constB111) | v124(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3349, 763])).
% 11.83/7.86 tff(3351,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB111) <=> (v116(constB111) | v123(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3352,plain,
% 11.83/7.86 (v115(constB111) <=> (v116(constB111) | v123(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3351, 772])).
% 11.83/7.86 tff(3353,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB111) <=> (v117(constB111) | v122(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3354,plain,
% 11.83/7.86 (v116(constB111) <=> (v117(constB111) | v122(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3353, 885])).
% 11.83/7.86 tff(3355,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB111) <=> (v118(constB111) | v121(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3356,plain,
% 11.83/7.86 (v117(constB111) <=> (v118(constB111) | v121(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3355, 1000])).
% 11.83/7.86 tff(3357,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB111) <=> (v119(constB111) | v120(constB111)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3358,plain,
% 11.83/7.86 (v118(constB111) <=> (v119(constB111) | v120(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3357, 1117])).
% 11.83/7.86 tff(3359,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3360,plain,
% 11.83/7.86 ((v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0))))) <=> (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3361,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.86 inference(monotonicity,[status(thm)],[3360])).
% 11.83/7.86 tff(3362,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.86 inference(transitivity,[status(thm)],[3361, 3359])).
% 11.83/7.86 tff(3363,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3364,plain,
% 11.83/7.86 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 11.83/7.86 tff(3365,plain,
% 11.83/7.86 (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3364, 1132])).
% 11.83/7.86 tff(3366,plain,
% 11.83/7.86 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3367,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110')).
% 11.83/7.86 tff(3368,plain,
% 11.83/7.86 (nextState(constB110, constB111)),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3367, 3366])).
% 11.83/7.86 tff(3369,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3370,plain,
% 11.83/7.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3371,plain,
% 11.83/7.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 11.83/7.86 tff(3372,plain,
% 11.83/7.86 (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3371, 3368, 596])).
% 11.83/7.86 tff(3373,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3374,plain,
% 11.83/7.86 (((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3375,plain,
% 11.83/7.86 (((~![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)))))))),
% 11.83/7.86 inference(monotonicity,[status(thm)],[3374])).
% 11.83/7.86 tff(3376,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.86 inference(transitivity,[status(thm)],[3375, 3373])).
% 11.83/7.86 tff(3377,plain,
% 11.83/7.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3378,plain,
% 11.83/7.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 11.83/7.86 tff(3379,plain,
% 11.83/7.86 (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3378, 3368, 616])).
% 11.83/7.86 tff(3380,plain,
% 11.83/7.86 (((~v1(constB111)) | (~v102(constB111))) | v1(constB111)),
% 11.83/7.86 inference(tautology,[status(thm)],[])).
% 11.83/7.86 tff(3381,plain,
% 11.83/7.86 ((~v1(constB111)) | (~v102(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3380, 3325])).
% 11.83/7.86 tff(3382,plain,
% 11.83/7.86 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111)) | (~((~v1(constB111)) | (~v102(constB111))))),
% 11.83/7.86 inference(tautology,[status(thm)],[])).
% 11.83/7.86 tff(3383,plain,
% 11.83/7.86 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3382, 3381])).
% 11.83/7.86 tff(3384,plain,
% 11.83/7.86 (~v101(constB111)),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3383, 3379])).
% 11.83/7.86 tff(3385,plain,
% 11.83/7.86 (((~v101(constB111)) | (~v110(constB111))) | v101(constB111)),
% 11.83/7.86 inference(tautology,[status(thm)],[])).
% 11.83/7.86 tff(3386,plain,
% 11.83/7.86 ((~v101(constB111)) | (~v110(constB111))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3385, 3384])).
% 11.83/7.86 tff(3387,plain,
% 11.83/7.86 ((~(v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))) | (~v100(constB111)) | (~((~v101(constB111)) | (~v110(constB111))))),
% 11.83/7.86 inference(tautology,[status(thm)],[])).
% 11.83/7.86 tff(3388,plain,
% 11.83/7.86 (~v100(constB111)),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3387, 3386, 3372])).
% 11.83/7.86 tff(3389,plain,
% 11.83/7.86 (((~![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))))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3390,plain,
% 11.83/7.86 ((~![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))))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3391,plain,
% 11.83/7.86 ((~![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)))),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 11.83/7.86 tff(3392,plain,
% 11.83/7.86 (v100(constB111) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3391, 3368, 645])).
% 11.83/7.86 tff(3393,plain,
% 11.83/7.86 (![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3392, 3388])).
% 11.83/7.86 tff(3394,plain,
% 11.83/7.86 (((~![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)))),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3395,plain,
% 11.83/7.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))),
% 11.83/7.86 inference(quant_inst,[status(thm)],[])).
% 11.83/7.86 tff(3396,plain,
% 11.83/7.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2))),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3395, 3394])).
% 11.83/7.86 tff(3397,plain,
% 11.83/7.86 (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)),
% 11.83/7.86 inference(unit_resolution,[status(thm)],[3396, 579, 3393])).
% 11.83/7.86 tff(3398,plain,
% 11.83/7.86 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 11.83/7.86 inference(rewrite,[status(thm)],[])).
% 11.83/7.86 tff(3399,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109')).
% 11.83/7.86 tff(3400,plain,
% 11.83/7.86 (nextState(constB109, constB110)),
% 11.83/7.86 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 11.83/7.86 tff(3401,plain,
% 11.83/7.86 (((~![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))))))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3402,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3403,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 11.83/7.87 tff(3404,plain,
% 11.83/7.87 (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3403, 3400, 596])).
% 11.83/7.87 tff(3405,plain,
% 11.83/7.87 (((~![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))))))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3406,plain,
% 11.83/7.87 (((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3407,plain,
% 11.83/7.87 (((~![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)))))))),
% 11.83/7.87 inference(monotonicity,[status(thm)],[3406])).
% 11.83/7.87 tff(3408,plain,
% 11.83/7.87 (((~![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))))))),
% 11.83/7.87 inference(transitivity,[status(thm)],[3407, 3405])).
% 11.83/7.87 tff(3409,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3410,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3409, 3408])).
% 11.83/7.87 tff(3411,plain,
% 11.83/7.87 (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3410, 3400, 616])).
% 11.83/7.87 tff(3412,plain,
% 11.83/7.87 (((~![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)))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3413,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3414,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110))),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 11.83/7.87 tff(3415,plain,
% 11.83/7.87 ((~v102(constB110)) <=> v104(constB110)),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3414, 3400, 678])).
% 11.83/7.87 tff(3416,plain,
% 11.83/7.87 (((~![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)))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3417,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3418,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109))),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 11.83/7.87 tff(3419,plain,
% 11.83/7.87 (v104(constB110) <=> v1(constB109)),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3418, 3400, 692])).
% 11.83/7.87 tff(3420,plain,
% 11.83/7.87 ((~v1(constB109)) <=> (~v1(constB109))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3421,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109')).
% 11.83/7.87 tff(3422,plain,
% 11.83/7.87 (~v1(constB109)),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 11.83/7.87 tff(3423,plain,
% 11.83/7.87 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110)) | v1(constB109)),
% 11.83/7.87 inference(tautology,[status(thm)],[])).
% 11.83/7.87 tff(3424,plain,
% 11.83/7.87 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3423, 3422])).
% 11.83/7.87 tff(3425,plain,
% 11.83/7.87 (~v104(constB110)),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3424, 3419])).
% 11.83/7.87 tff(3426,plain,
% 11.83/7.87 ((~((~v102(constB110)) <=> v104(constB110))) | v102(constB110) | v104(constB110)),
% 11.83/7.87 inference(tautology,[status(thm)],[])).
% 11.83/7.87 tff(3427,plain,
% 11.83/7.87 (v102(constB110)),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3426, 3425, 3415])).
% 11.83/7.87 tff(3428,plain,
% 11.83/7.87 (v1(constB110) <=> v1(constB110)),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3429,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110')).
% 11.83/7.87 tff(3430,plain,
% 11.83/7.87 (v1(constB110)),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 11.83/7.87 tff(3431,plain,
% 11.83/7.87 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v1(constB110)) | (~v102(constB110))),
% 11.83/7.87 inference(tautology,[status(thm)],[])).
% 11.83/7.87 tff(3432,plain,
% 11.83/7.87 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v102(constB110))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3431, 3430])).
% 11.83/7.87 tff(3433,plain,
% 11.83/7.87 (~((~v1(constB110)) | (~v102(constB110)))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3432, 3427])).
% 11.83/7.87 tff(3434,plain,
% 11.83/7.87 ((~(v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))) | v101(constB110) | ((~v1(constB110)) | (~v102(constB110)))),
% 11.83/7.87 inference(tautology,[status(thm)],[])).
% 11.83/7.87 tff(3435,plain,
% 11.83/7.87 (v101(constB110)),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3434, 3433, 3411])).
% 11.83/7.87 tff(3436,plain,
% 11.83/7.87 (((~![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)))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3437,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3438,plain,
% 11.83/7.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109))),
% 11.83/7.87 inference(modus_ponens,[status(thm)],[3437, 3436])).
% 11.83/7.87 tff(3439,plain,
% 11.83/7.87 (v110(constB110) <=> v108(constB109)),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3438, 3400, 722])).
% 11.83/7.87 tff(3440,plain,
% 11.83/7.87 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB109) <=> (v111(constB109) | v112(constB109)))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3441,plain,
% 11.83/7.87 (v108(constB109) <=> (v111(constB109) | v112(constB109))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3440, 733])).
% 11.83/7.87 tff(3442,plain,
% 11.83/7.87 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3443,plain,
% 11.83/7.87 (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109))))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3442, 745])).
% 11.83/7.87 tff(3444,plain,
% 11.83/7.87 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB109) <=> (v114(constB109) | v125(constB109)))),
% 11.83/7.87 inference(quant_inst,[status(thm)],[])).
% 11.83/7.87 tff(3445,plain,
% 11.83/7.87 (v113(constB109) <=> (v114(constB109) | v125(constB109))),
% 11.83/7.87 inference(unit_resolution,[status(thm)],[3444, 754])).
% 11.83/7.87 tff(3446,plain,
% 11.83/7.87 (^[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))))))),
% 11.83/7.87 inference(bind,[status(th)],[])).
% 11.83/7.87 tff(3447,plain,
% 11.83/7.87 (![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)))))),
% 11.83/7.87 inference(quant_intro,[status(thm)],[3446])).
% 11.83/7.87 tff(3448,plain,
% 11.83/7.87 (^[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))))))),
% 11.83/7.87 inference(bind,[status(th)],[])).
% 11.83/7.87 tff(3449,plain,
% 11.83/7.87 (![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)))))),
% 11.83/7.87 inference(quant_intro,[status(thm)],[3448])).
% 11.83/7.87 tff(3450,plain,
% 11.83/7.87 (![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))))),
% 11.83/7.87 inference(rewrite,[status(thm)],[])).
% 11.83/7.87 tff(3451,plain,
% 11.83/7.87 (^[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)))))),
% 11.83/7.87 inference(bind,[status(th)],[])).
% 11.83/7.87 tff(3452,plain,
% 11.83/7.87 (![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))))),
% 11.83/7.87 inference(quant_intro,[status(thm)],[3451])).
% 11.83/7.87 tff(3453,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')).
% 11.87/7.87 tff(3454,plain,
% 11.87/7.87 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 11.87/7.87 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 11.87/7.87 tff(3455,plain,
% 11.87/7.87 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 11.87/7.87 inference(modus_ponens,[status(thm)],[3454, 3450])).
% 11.87/7.87 tff(3456,plain,(
% 11.87/7.87 ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 11.87/7.87 inference(skolemize,[status(sab)],[3455])).
% 11.87/7.87 tff(3457,plain,
% 11.87/7.87 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 11.87/7.87 inference(modus_ponens,[status(thm)],[3456, 3449])).
% 11.87/7.87 tff(3458,plain,
% 11.87/7.87 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 11.87/7.87 inference(modus_ponens,[status(thm)],[3457, 3447])).
% 11.87/7.87 tff(3459,plain,
% 11.87/7.87 (((~![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)))))),
% 11.87/7.87 inference(rewrite,[status(thm)],[])).
% 11.87/7.87 tff(3460,plain,
% 11.87/7.87 ((v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2))))) <=> (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 11.87/7.87 inference(rewrite,[status(thm)],[])).
% 11.87/7.87 tff(3461,plain,
% 11.87/7.87 (((~![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)))))),
% 11.87/7.87 inference(monotonicity,[status(thm)],[3460])).
% 11.87/7.87 tff(3462,plain,
% 11.87/7.87 (((~![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)))))),
% 11.87/7.87 inference(transitivity,[status(thm)],[3461, 3459])).
% 11.87/7.87 tff(3463,plain,
% 11.87/7.87 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))))),
% 11.87/7.87 inference(quant_inst,[status(thm)],[])).
% 11.87/7.87 tff(3464,plain,
% 11.87/7.87 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 11.87/7.87 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 11.87/7.87 tff(3465,plain,
% 11.87/7.87 (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 11.87/7.87 inference(unit_resolution,[status(thm)],[3464, 3458])).
% 11.87/7.87 tff(3466,plain,
% 11.87/7.87 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 11.87/7.87 inference(rewrite,[status(thm)],[])).
% 11.87/7.87 tff(3467,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108')).
% 11.87/7.88 tff(3468,plain,
% 11.87/7.88 (nextState(constB108, constB109)),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 11.87/7.88 tff(3469,plain,
% 11.87/7.88 (((~![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))))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3470,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3471,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 11.87/7.88 tff(3472,plain,
% 11.87/7.88 (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3471, 3468, 596])).
% 11.87/7.88 tff(3473,plain,
% 11.87/7.88 (((~![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))))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3474,plain,
% 11.87/7.88 (((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3475,plain,
% 11.87/7.88 (((~![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)))))))),
% 11.87/7.88 inference(monotonicity,[status(thm)],[3474])).
% 11.87/7.88 tff(3476,plain,
% 11.87/7.88 (((~![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))))))),
% 11.87/7.88 inference(transitivity,[status(thm)],[3475, 3473])).
% 11.87/7.88 tff(3477,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3478,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 11.87/7.88 tff(3479,plain,
% 11.87/7.88 (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3478, 3468, 616])).
% 11.87/7.88 tff(3480,plain,
% 11.87/7.88 (((~v1(constB109)) | (~v102(constB109))) | v1(constB109)),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3481,plain,
% 11.87/7.88 ((~v1(constB109)) | (~v102(constB109))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3480, 3422])).
% 11.87/7.88 tff(3482,plain,
% 11.87/7.88 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109)) | (~((~v1(constB109)) | (~v102(constB109))))),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3483,plain,
% 11.87/7.88 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3482, 3481])).
% 11.87/7.88 tff(3484,plain,
% 11.87/7.88 (~v101(constB109)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3483, 3479])).
% 11.87/7.88 tff(3485,plain,
% 11.87/7.88 (((~v101(constB109)) | (~v110(constB109))) | v101(constB109)),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3486,plain,
% 11.87/7.88 ((~v101(constB109)) | (~v110(constB109))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3485, 3484])).
% 11.87/7.88 tff(3487,plain,
% 11.87/7.88 ((~(v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))) | (~v100(constB109)) | (~((~v101(constB109)) | (~v110(constB109))))),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3488,plain,
% 11.87/7.88 (~v100(constB109)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3487, 3486, 3472])).
% 11.87/7.88 tff(3489,plain,
% 11.87/7.88 (((~![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))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3490,plain,
% 11.87/7.88 ((~![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))))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3491,plain,
% 11.87/7.88 ((~![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)))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 11.87/7.88 tff(3492,plain,
% 11.87/7.88 (v100(constB109) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3491, 3468, 645])).
% 11.87/7.88 tff(3493,plain,
% 11.87/7.88 (![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3492, 3488])).
% 11.87/7.88 tff(3494,plain,
% 11.87/7.88 (((~![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)))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3495,plain,
% 11.87/7.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3496,plain,
% 11.87/7.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 11.87/7.88 tff(3497,plain,
% 11.87/7.88 (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3496, 579, 3493])).
% 11.87/7.88 tff(3498,plain,
% 11.87/7.88 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3499,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107')).
% 11.87/7.88 tff(3500,plain,
% 11.87/7.88 (nextState(constB107, constB108)),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 11.87/7.88 tff(3501,plain,
% 11.87/7.88 (((~![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))))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3502,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3503,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 11.87/7.88 tff(3504,plain,
% 11.87/7.88 (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3503, 3500, 596])).
% 11.87/7.88 tff(3505,plain,
% 11.87/7.88 (((~![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))))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3506,plain,
% 11.87/7.88 (((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3507,plain,
% 11.87/7.88 (((~![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)))))))),
% 11.87/7.88 inference(monotonicity,[status(thm)],[3506])).
% 11.87/7.88 tff(3508,plain,
% 11.87/7.88 (((~![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))))))),
% 11.87/7.88 inference(transitivity,[status(thm)],[3507, 3505])).
% 11.87/7.88 tff(3509,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3510,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 11.87/7.88 tff(3511,plain,
% 11.87/7.88 (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3510, 3500, 616])).
% 11.87/7.88 tff(3512,plain,
% 11.87/7.88 (((~![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)))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3513,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3514,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 11.87/7.88 tff(3515,plain,
% 11.87/7.88 ((~v102(constB108)) <=> v104(constB108)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3514, 3500, 678])).
% 11.87/7.88 tff(3516,plain,
% 11.87/7.88 (((~![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)))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3517,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 11.87/7.88 inference(quant_inst,[status(thm)],[])).
% 11.87/7.88 tff(3518,plain,
% 11.87/7.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107))),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 11.87/7.88 tff(3519,plain,
% 11.87/7.88 (v104(constB108) <=> v1(constB107)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3518, 3500, 692])).
% 11.87/7.88 tff(3520,plain,
% 11.87/7.88 ((~v1(constB107)) <=> (~v1(constB107))),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3521,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107')).
% 11.87/7.88 tff(3522,plain,
% 11.87/7.88 (~v1(constB107)),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3521, 3520])).
% 11.87/7.88 tff(3523,plain,
% 11.87/7.88 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108)) | v1(constB107)),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3524,plain,
% 11.87/7.88 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3523, 3522])).
% 11.87/7.88 tff(3525,plain,
% 11.87/7.88 (~v104(constB108)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3524, 3519])).
% 11.87/7.88 tff(3526,plain,
% 11.87/7.88 ((~((~v102(constB108)) <=> v104(constB108))) | v102(constB108) | v104(constB108)),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3527,plain,
% 11.87/7.88 (v102(constB108)),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3526, 3525, 3515])).
% 11.87/7.88 tff(3528,plain,
% 11.87/7.88 (v1(constB108) <=> v1(constB108)),
% 11.87/7.88 inference(rewrite,[status(thm)],[])).
% 11.87/7.88 tff(3529,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108')).
% 11.87/7.88 tff(3530,plain,
% 11.87/7.88 (v1(constB108)),
% 11.87/7.88 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 11.87/7.88 tff(3531,plain,
% 11.87/7.88 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v1(constB108)) | (~v102(constB108))),
% 11.87/7.88 inference(tautology,[status(thm)],[])).
% 11.87/7.88 tff(3532,plain,
% 11.87/7.88 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v102(constB108))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3531, 3530])).
% 11.87/7.88 tff(3533,plain,
% 11.87/7.88 (~((~v1(constB108)) | (~v102(constB108)))),
% 11.87/7.88 inference(unit_resolution,[status(thm)],[3532, 3527])).
% 11.87/7.88 tff(3534,plain,
% 11.87/7.88 ((~(v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))) | v101(constB108) | ((~v1(constB108)) | (~v102(constB108)))),
% 11.87/7.89 inference(tautology,[status(thm)],[])).
% 11.87/7.89 tff(3535,plain,
% 11.87/7.89 (v101(constB108)),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3534, 3533, 3511])).
% 11.87/7.89 tff(3536,plain,
% 11.87/7.89 (((~![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)))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3537,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3538,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 11.87/7.89 tff(3539,plain,
% 11.87/7.89 (v110(constB108) <=> v108(constB107)),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3538, 3500, 722])).
% 11.87/7.89 tff(3540,plain,
% 11.87/7.89 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB107) <=> (v111(constB107) | v112(constB107)))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3541,plain,
% 11.87/7.89 (v108(constB107) <=> (v111(constB107) | v112(constB107))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3540, 733])).
% 11.87/7.89 tff(3542,plain,
% 11.87/7.89 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3543,plain,
% 11.87/7.89 (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107))))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3542, 745])).
% 11.87/7.89 tff(3544,plain,
% 11.87/7.89 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB107) <=> (v114(constB107) | v125(constB107)))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3545,plain,
% 11.87/7.89 (v113(constB107) <=> (v114(constB107) | v125(constB107))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3544, 754])).
% 11.87/7.89 tff(3546,plain,
% 11.87/7.89 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB107) <=> (v115(constB107) | v124(constB107)))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3547,plain,
% 11.87/7.89 (v114(constB107) <=> (v115(constB107) | v124(constB107))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3546, 763])).
% 11.87/7.89 tff(3548,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3549,plain,
% 11.87/7.89 ((v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2))))) <=> (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3550,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(monotonicity,[status(thm)],[3549])).
% 11.87/7.89 tff(3551,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(transitivity,[status(thm)],[3550, 3548])).
% 11.87/7.89 tff(3552,plain,
% 11.87/7.89 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3553,plain,
% 11.87/7.89 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 11.87/7.89 tff(3554,plain,
% 11.87/7.89 (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3553, 2651])).
% 11.87/7.89 tff(3555,plain,
% 11.87/7.89 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3556,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106')).
% 11.87/7.89 tff(3557,plain,
% 11.87/7.89 (nextState(constB106, constB107)),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 11.87/7.89 tff(3558,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3559,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3560,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3559, 3558])).
% 11.87/7.89 tff(3561,plain,
% 11.87/7.89 (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3560, 3557, 596])).
% 11.87/7.89 tff(3562,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3563,plain,
% 11.87/7.89 (((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3564,plain,
% 11.87/7.89 (((~![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)))))))),
% 11.87/7.89 inference(monotonicity,[status(thm)],[3563])).
% 11.87/7.89 tff(3565,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(transitivity,[status(thm)],[3564, 3562])).
% 11.87/7.89 tff(3566,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3567,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 11.87/7.89 tff(3568,plain,
% 11.87/7.89 (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3567, 3557, 616])).
% 11.87/7.89 tff(3569,plain,
% 11.87/7.89 (((~v1(constB107)) | (~v102(constB107))) | v1(constB107)),
% 11.87/7.89 inference(tautology,[status(thm)],[])).
% 11.87/7.89 tff(3570,plain,
% 11.87/7.89 ((~v1(constB107)) | (~v102(constB107))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3569, 3522])).
% 11.87/7.89 tff(3571,plain,
% 11.87/7.89 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107)) | (~((~v1(constB107)) | (~v102(constB107))))),
% 11.87/7.89 inference(tautology,[status(thm)],[])).
% 11.87/7.89 tff(3572,plain,
% 11.87/7.89 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3571, 3570])).
% 11.87/7.89 tff(3573,plain,
% 11.87/7.89 (~v101(constB107)),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3572, 3568])).
% 11.87/7.89 tff(3574,plain,
% 11.87/7.89 (((~v101(constB107)) | (~v110(constB107))) | v101(constB107)),
% 11.87/7.89 inference(tautology,[status(thm)],[])).
% 11.87/7.89 tff(3575,plain,
% 11.87/7.89 ((~v101(constB107)) | (~v110(constB107))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3574, 3573])).
% 11.87/7.89 tff(3576,plain,
% 11.87/7.89 ((~(v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))) | (~v100(constB107)) | (~((~v101(constB107)) | (~v110(constB107))))),
% 11.87/7.89 inference(tautology,[status(thm)],[])).
% 11.87/7.89 tff(3577,plain,
% 11.87/7.89 (~v100(constB107)),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3576, 3575, 3561])).
% 11.87/7.89 tff(3578,plain,
% 11.87/7.89 (((~![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))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3579,plain,
% 11.87/7.89 ((~![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))))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3580,plain,
% 11.87/7.89 ((~![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)))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3579, 3578])).
% 11.87/7.89 tff(3581,plain,
% 11.87/7.89 (v100(constB107) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3580, 3557, 645])).
% 11.87/7.89 tff(3582,plain,
% 11.87/7.89 (![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3581, 3577])).
% 11.87/7.89 tff(3583,plain,
% 11.87/7.89 (((~![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)))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3584,plain,
% 11.87/7.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3585,plain,
% 11.87/7.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 11.87/7.89 tff(3586,plain,
% 11.87/7.89 (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3585, 579, 3582])).
% 11.87/7.89 tff(3587,plain,
% 11.87/7.89 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3588,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105')).
% 11.87/7.89 tff(3589,plain,
% 11.87/7.89 (nextState(constB105, constB106)),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3588, 3587])).
% 11.87/7.89 tff(3590,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3591,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 11.87/7.89 inference(quant_inst,[status(thm)],[])).
% 11.87/7.89 tff(3592,plain,
% 11.87/7.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))),
% 11.87/7.89 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 11.87/7.89 tff(3593,plain,
% 11.87/7.89 (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))),
% 11.87/7.89 inference(unit_resolution,[status(thm)],[3592, 3589, 596])).
% 11.87/7.89 tff(3594,plain,
% 11.87/7.89 (((~![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))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3595,plain,
% 11.87/7.89 (((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 11.87/7.89 inference(rewrite,[status(thm)],[])).
% 11.87/7.89 tff(3596,plain,
% 11.87/7.89 (((~![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)))))))),
% 11.87/7.90 inference(monotonicity,[status(thm)],[3595])).
% 11.87/7.90 tff(3597,plain,
% 11.87/7.90 (((~![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))))))),
% 11.87/7.90 inference(transitivity,[status(thm)],[3596, 3594])).
% 11.87/7.90 tff(3598,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3599,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 11.87/7.90 tff(3600,plain,
% 11.87/7.90 (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3599, 3589, 616])).
% 11.87/7.90 tff(3601,plain,
% 11.87/7.90 (((~![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)))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3602,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3603,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 11.87/7.90 tff(3604,plain,
% 11.87/7.90 ((~v102(constB106)) <=> v104(constB106)),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3603, 3589, 678])).
% 11.87/7.90 tff(3605,plain,
% 11.87/7.90 (((~![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)))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3606,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3607,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 11.87/7.90 tff(3608,plain,
% 11.87/7.90 (v104(constB106) <=> v1(constB105)),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3607, 3589, 692])).
% 11.87/7.90 tff(3609,plain,
% 11.87/7.90 ((~v1(constB105)) <=> (~v1(constB105))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3610,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105')).
% 11.87/7.90 tff(3611,plain,
% 11.87/7.90 (~v1(constB105)),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 11.87/7.90 tff(3612,plain,
% 11.87/7.90 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106)) | v1(constB105)),
% 11.87/7.90 inference(tautology,[status(thm)],[])).
% 11.87/7.90 tff(3613,plain,
% 11.87/7.90 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3612, 3611])).
% 11.87/7.90 tff(3614,plain,
% 11.87/7.90 (~v104(constB106)),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3613, 3608])).
% 11.87/7.90 tff(3615,plain,
% 11.87/7.90 ((~((~v102(constB106)) <=> v104(constB106))) | v102(constB106) | v104(constB106)),
% 11.87/7.90 inference(tautology,[status(thm)],[])).
% 11.87/7.90 tff(3616,plain,
% 11.87/7.90 (v102(constB106)),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3615, 3614, 3604])).
% 11.87/7.90 tff(3617,plain,
% 11.87/7.90 (v1(constB106) <=> v1(constB106)),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3618,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106')).
% 11.87/7.90 tff(3619,plain,
% 11.87/7.90 (v1(constB106)),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 11.87/7.90 tff(3620,plain,
% 11.87/7.90 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v1(constB106)) | (~v102(constB106))),
% 11.87/7.90 inference(tautology,[status(thm)],[])).
% 11.87/7.90 tff(3621,plain,
% 11.87/7.90 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v102(constB106))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3620, 3619])).
% 11.87/7.90 tff(3622,plain,
% 11.87/7.90 (~((~v1(constB106)) | (~v102(constB106)))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3621, 3616])).
% 11.87/7.90 tff(3623,plain,
% 11.87/7.90 ((~(v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))) | v101(constB106) | ((~v1(constB106)) | (~v102(constB106)))),
% 11.87/7.90 inference(tautology,[status(thm)],[])).
% 11.87/7.90 tff(3624,plain,
% 11.87/7.90 (v101(constB106)),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3623, 3622, 3600])).
% 11.87/7.90 tff(3625,plain,
% 11.87/7.90 (((~![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)))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3626,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3627,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 11.87/7.90 tff(3628,plain,
% 11.87/7.90 (v110(constB106) <=> v108(constB105)),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3627, 3589, 722])).
% 11.87/7.90 tff(3629,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB105) <=> (v111(constB105) | v112(constB105)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3630,plain,
% 11.87/7.90 (v108(constB105) <=> (v111(constB105) | v112(constB105))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3629, 733])).
% 11.87/7.90 tff(3631,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3632,plain,
% 11.87/7.90 (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105))))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3631, 745])).
% 11.87/7.90 tff(3633,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB105) <=> (v114(constB105) | v125(constB105)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3634,plain,
% 11.87/7.90 (v113(constB105) <=> (v114(constB105) | v125(constB105))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3633, 754])).
% 11.87/7.90 tff(3635,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB105) <=> (v115(constB105) | v124(constB105)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3636,plain,
% 11.87/7.90 (v114(constB105) <=> (v115(constB105) | v124(constB105))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3635, 763])).
% 11.87/7.90 tff(3637,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB105) <=> (v116(constB105) | v123(constB105)))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3638,plain,
% 11.87/7.90 (v115(constB105) <=> (v116(constB105) | v123(constB105))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3637, 772])).
% 11.87/7.90 tff(3639,plain,
% 11.87/7.90 (((~![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)))))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3640,plain,
% 11.87/7.90 ((v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2))))) <=> (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3641,plain,
% 11.87/7.90 (((~![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)))))),
% 11.87/7.90 inference(monotonicity,[status(thm)],[3640])).
% 11.87/7.90 tff(3642,plain,
% 11.87/7.90 (((~![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)))))),
% 11.87/7.90 inference(transitivity,[status(thm)],[3641, 3639])).
% 11.87/7.90 tff(3643,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3644,plain,
% 11.87/7.90 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 11.87/7.90 tff(3645,plain,
% 11.87/7.90 (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3644, 787])).
% 11.87/7.90 tff(3646,plain,
% 11.87/7.90 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3647,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104')).
% 11.87/7.90 tff(3648,plain,
% 11.87/7.90 (nextState(constB104, constB105)),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3647, 3646])).
% 11.87/7.90 tff(3649,plain,
% 11.87/7.90 (((~![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))))))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3650,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3651,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 11.87/7.90 tff(3652,plain,
% 11.87/7.90 (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3651, 3648, 596])).
% 11.87/7.90 tff(3653,plain,
% 11.87/7.90 (((~![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))))))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3654,plain,
% 11.87/7.90 (((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 11.87/7.90 inference(rewrite,[status(thm)],[])).
% 11.87/7.90 tff(3655,plain,
% 11.87/7.90 (((~![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)))))))),
% 11.87/7.90 inference(monotonicity,[status(thm)],[3654])).
% 11.87/7.90 tff(3656,plain,
% 11.87/7.90 (((~![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))))))),
% 11.87/7.90 inference(transitivity,[status(thm)],[3655, 3653])).
% 11.87/7.90 tff(3657,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))),
% 11.87/7.90 inference(quant_inst,[status(thm)],[])).
% 11.87/7.90 tff(3658,plain,
% 11.87/7.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))),
% 11.87/7.90 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 11.87/7.90 tff(3659,plain,
% 11.87/7.90 (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3658, 3648, 616])).
% 11.87/7.90 tff(3660,plain,
% 11.87/7.90 (((~v1(constB105)) | (~v102(constB105))) | v1(constB105)),
% 11.87/7.90 inference(tautology,[status(thm)],[])).
% 11.87/7.90 tff(3661,plain,
% 11.87/7.90 ((~v1(constB105)) | (~v102(constB105))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3660, 3611])).
% 11.87/7.90 tff(3662,plain,
% 11.87/7.90 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105)) | (~((~v1(constB105)) | (~v102(constB105))))),
% 11.87/7.90 inference(tautology,[status(thm)],[])).
% 11.87/7.90 tff(3663,plain,
% 11.87/7.90 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105))),
% 11.87/7.90 inference(unit_resolution,[status(thm)],[3662, 3661])).
% 11.87/7.91 tff(3664,plain,
% 11.87/7.91 (~v101(constB105)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3663, 3659])).
% 11.87/7.91 tff(3665,plain,
% 11.87/7.91 (((~v101(constB105)) | (~v110(constB105))) | v101(constB105)),
% 11.87/7.91 inference(tautology,[status(thm)],[])).
% 11.87/7.91 tff(3666,plain,
% 11.87/7.91 ((~v101(constB105)) | (~v110(constB105))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3665, 3664])).
% 11.87/7.91 tff(3667,plain,
% 11.87/7.91 ((~(v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))) | (~v100(constB105)) | (~((~v101(constB105)) | (~v110(constB105))))),
% 11.87/7.91 inference(tautology,[status(thm)],[])).
% 11.87/7.91 tff(3668,plain,
% 11.87/7.91 (~v100(constB105)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3667, 3666, 3652])).
% 11.87/7.91 tff(3669,plain,
% 11.87/7.91 (((~![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))))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3670,plain,
% 11.87/7.91 ((~![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))))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3671,plain,
% 11.87/7.91 ((~![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)))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 11.87/7.91 tff(3672,plain,
% 11.87/7.91 (v100(constB105) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3671, 3648, 645])).
% 11.87/7.91 tff(3673,plain,
% 11.87/7.91 (![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3672, 3668])).
% 11.87/7.91 tff(3674,plain,
% 11.87/7.91 (((~![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)))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3675,plain,
% 11.87/7.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3676,plain,
% 11.87/7.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 11.87/7.91 tff(3677,plain,
% 11.87/7.91 (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3676, 579, 3673])).
% 11.87/7.91 tff(3678,plain,
% 11.87/7.91 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3679,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103')).
% 11.87/7.91 tff(3680,plain,
% 11.87/7.91 (nextState(constB103, constB104)),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3679, 3678])).
% 11.87/7.91 tff(3681,plain,
% 11.87/7.91 (((~![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))))))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3682,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3683,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 11.87/7.91 tff(3684,plain,
% 11.87/7.91 (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3683, 3680, 596])).
% 11.87/7.91 tff(3685,plain,
% 11.87/7.91 (((~![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))))))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3686,plain,
% 11.87/7.91 (((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3687,plain,
% 11.87/7.91 (((~![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)))))))),
% 11.87/7.91 inference(monotonicity,[status(thm)],[3686])).
% 11.87/7.91 tff(3688,plain,
% 11.87/7.91 (((~![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))))))),
% 11.87/7.91 inference(transitivity,[status(thm)],[3687, 3685])).
% 11.87/7.91 tff(3689,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3690,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 11.87/7.91 tff(3691,plain,
% 11.87/7.91 (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3690, 3680, 616])).
% 11.87/7.91 tff(3692,plain,
% 11.87/7.91 (((~![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)))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3693,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3694,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3693, 3692])).
% 11.87/7.91 tff(3695,plain,
% 11.87/7.91 ((~v102(constB104)) <=> v104(constB104)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3694, 3680, 678])).
% 11.87/7.91 tff(3696,plain,
% 11.87/7.91 (((~![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)))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3697,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3698,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 11.87/7.91 tff(3699,plain,
% 11.87/7.91 (v104(constB104) <=> v1(constB103)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3698, 3680, 692])).
% 11.87/7.91 tff(3700,plain,
% 11.87/7.91 ((~v1(constB103)) <=> (~v1(constB103))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3701,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103')).
% 11.87/7.91 tff(3702,plain,
% 11.87/7.91 (~v1(constB103)),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3701, 3700])).
% 11.87/7.91 tff(3703,plain,
% 11.87/7.91 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104)) | v1(constB103)),
% 11.87/7.91 inference(tautology,[status(thm)],[])).
% 11.87/7.91 tff(3704,plain,
% 11.87/7.91 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3703, 3702])).
% 11.87/7.91 tff(3705,plain,
% 11.87/7.91 (~v104(constB104)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3704, 3699])).
% 11.87/7.91 tff(3706,plain,
% 11.87/7.91 ((~((~v102(constB104)) <=> v104(constB104))) | v102(constB104) | v104(constB104)),
% 11.87/7.91 inference(tautology,[status(thm)],[])).
% 11.87/7.91 tff(3707,plain,
% 11.87/7.91 (v102(constB104)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3706, 3705, 3695])).
% 11.87/7.91 tff(3708,plain,
% 11.87/7.91 (v1(constB104) <=> v1(constB104)),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3709,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104')).
% 11.87/7.91 tff(3710,plain,
% 11.87/7.91 (v1(constB104)),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 11.87/7.91 tff(3711,plain,
% 11.87/7.91 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v1(constB104)) | (~v102(constB104))),
% 11.87/7.91 inference(tautology,[status(thm)],[])).
% 11.87/7.91 tff(3712,plain,
% 11.87/7.91 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v102(constB104))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3711, 3710])).
% 11.87/7.91 tff(3713,plain,
% 11.87/7.91 (~((~v1(constB104)) | (~v102(constB104)))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3712, 3707])).
% 11.87/7.91 tff(3714,plain,
% 11.87/7.91 ((~(v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))) | v101(constB104) | ((~v1(constB104)) | (~v102(constB104)))),
% 11.87/7.91 inference(tautology,[status(thm)],[])).
% 11.87/7.91 tff(3715,plain,
% 11.87/7.91 (v101(constB104)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3714, 3713, 3691])).
% 11.87/7.91 tff(3716,plain,
% 11.87/7.91 (((~![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)))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3717,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3718,plain,
% 11.87/7.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103))),
% 11.87/7.91 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 11.87/7.91 tff(3719,plain,
% 11.87/7.91 (v110(constB104) <=> v108(constB103)),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3718, 3680, 722])).
% 11.87/7.91 tff(3720,plain,
% 11.87/7.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB103) <=> (v111(constB103) | v112(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3721,plain,
% 11.87/7.91 (v108(constB103) <=> (v111(constB103) | v112(constB103))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3720, 733])).
% 11.87/7.91 tff(3722,plain,
% 11.87/7.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3723,plain,
% 11.87/7.91 (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103))))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3722, 745])).
% 11.87/7.91 tff(3724,plain,
% 11.87/7.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB103) <=> (v114(constB103) | v125(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3725,plain,
% 11.87/7.91 (v113(constB103) <=> (v114(constB103) | v125(constB103))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3724, 754])).
% 11.87/7.91 tff(3726,plain,
% 11.87/7.91 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB103) <=> (v115(constB103) | v124(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3727,plain,
% 11.87/7.91 (v114(constB103) <=> (v115(constB103) | v124(constB103))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3726, 763])).
% 11.87/7.91 tff(3728,plain,
% 11.87/7.91 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB103) <=> (v116(constB103) | v123(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3729,plain,
% 11.87/7.91 (v115(constB103) <=> (v116(constB103) | v123(constB103))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3728, 772])).
% 11.87/7.91 tff(3730,plain,
% 11.87/7.91 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB103) <=> (v117(constB103) | v122(constB103)))),
% 11.87/7.91 inference(quant_inst,[status(thm)],[])).
% 11.87/7.91 tff(3731,plain,
% 11.87/7.91 (v116(constB103) <=> (v117(constB103) | v122(constB103))),
% 11.87/7.91 inference(unit_resolution,[status(thm)],[3730, 885])).
% 11.87/7.91 tff(3732,plain,
% 11.87/7.91 (((~![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))))))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3733,plain,
% 11.87/7.91 ((v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1))))) <=> (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))),
% 11.87/7.91 inference(rewrite,[status(thm)],[])).
% 11.87/7.91 tff(3734,plain,
% 11.87/7.91 (((~![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))))))),
% 11.87/7.91 inference(monotonicity,[status(thm)],[3733])).
% 11.87/7.92 tff(3735,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(transitivity,[status(thm)],[3734, 3732])).
% 11.87/7.92 tff(3736,plain,
% 11.87/7.92 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3737,plain,
% 11.87/7.92 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 11.87/7.92 tff(3738,plain,
% 11.87/7.92 (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3737, 900])).
% 11.87/7.92 tff(3739,plain,
% 11.87/7.92 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3740,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102')).
% 11.87/7.92 tff(3741,plain,
% 11.87/7.92 (nextState(constB102, constB103)),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3740, 3739])).
% 11.87/7.92 tff(3742,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3743,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3744,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 11.87/7.92 tff(3745,plain,
% 11.87/7.92 (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3744, 3741, 596])).
% 11.87/7.92 tff(3746,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3747,plain,
% 11.87/7.92 (((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3748,plain,
% 11.87/7.92 (((~![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)))))))),
% 11.87/7.92 inference(monotonicity,[status(thm)],[3747])).
% 11.87/7.92 tff(3749,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(transitivity,[status(thm)],[3748, 3746])).
% 11.87/7.92 tff(3750,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3751,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 11.87/7.92 tff(3752,plain,
% 11.87/7.92 (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3751, 3741, 616])).
% 11.87/7.92 tff(3753,plain,
% 11.87/7.92 (((~v1(constB103)) | (~v102(constB103))) | v1(constB103)),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3754,plain,
% 11.87/7.92 ((~v1(constB103)) | (~v102(constB103))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3753, 3702])).
% 11.87/7.92 tff(3755,plain,
% 11.87/7.92 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103)) | (~((~v1(constB103)) | (~v102(constB103))))),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3756,plain,
% 11.87/7.92 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3755, 3754])).
% 11.87/7.92 tff(3757,plain,
% 11.87/7.92 (~v101(constB103)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3756, 3752])).
% 11.87/7.92 tff(3758,plain,
% 11.87/7.92 (((~v101(constB103)) | (~v110(constB103))) | v101(constB103)),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3759,plain,
% 11.87/7.92 ((~v101(constB103)) | (~v110(constB103))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3758, 3757])).
% 11.87/7.92 tff(3760,plain,
% 11.87/7.92 ((~(v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))) | (~v100(constB103)) | (~((~v101(constB103)) | (~v110(constB103))))),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3761,plain,
% 11.87/7.92 (~v100(constB103)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3760, 3759, 3745])).
% 11.87/7.92 tff(3762,plain,
% 11.87/7.92 (((~![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))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3763,plain,
% 11.87/7.92 ((~![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))))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3764,plain,
% 11.87/7.92 ((~![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)))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3763, 3762])).
% 11.87/7.92 tff(3765,plain,
% 11.87/7.92 (v100(constB103) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3764, 3741, 645])).
% 11.87/7.92 tff(3766,plain,
% 11.87/7.92 (![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3765, 3761])).
% 11.87/7.92 tff(3767,plain,
% 11.87/7.92 (((~![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)))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3768,plain,
% 11.87/7.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3769,plain,
% 11.87/7.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 11.87/7.92 tff(3770,plain,
% 11.87/7.92 (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3769, 579, 3766])).
% 11.87/7.92 tff(3771,plain,
% 11.87/7.92 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3772,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101')).
% 11.87/7.92 tff(3773,plain,
% 11.87/7.92 (nextState(constB101, constB102)),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3772, 3771])).
% 11.87/7.92 tff(3774,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3775,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3776,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3775, 3774])).
% 11.87/7.92 tff(3777,plain,
% 11.87/7.92 (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3776, 3773, 596])).
% 11.87/7.92 tff(3778,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3779,plain,
% 11.87/7.92 (((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3780,plain,
% 11.87/7.92 (((~![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)))))))),
% 11.87/7.92 inference(monotonicity,[status(thm)],[3779])).
% 11.87/7.92 tff(3781,plain,
% 11.87/7.92 (((~![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))))))),
% 11.87/7.92 inference(transitivity,[status(thm)],[3780, 3778])).
% 11.87/7.92 tff(3782,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3783,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3782, 3781])).
% 11.87/7.92 tff(3784,plain,
% 11.87/7.92 (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3783, 3773, 616])).
% 11.87/7.92 tff(3785,plain,
% 11.87/7.92 (((~![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)))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3786,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3787,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 11.87/7.92 tff(3788,plain,
% 11.87/7.92 ((~v102(constB102)) <=> v104(constB102)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3787, 3773, 678])).
% 11.87/7.92 tff(3789,plain,
% 11.87/7.92 (((~![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)))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3790,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 11.87/7.92 inference(quant_inst,[status(thm)],[])).
% 11.87/7.92 tff(3791,plain,
% 11.87/7.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101))),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3790, 3789])).
% 11.87/7.92 tff(3792,plain,
% 11.87/7.92 (v104(constB102) <=> v1(constB101)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3791, 3773, 692])).
% 11.87/7.92 tff(3793,plain,
% 11.87/7.92 ((~v1(constB101)) <=> (~v1(constB101))),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3794,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101')).
% 11.87/7.92 tff(3795,plain,
% 11.87/7.92 (~v1(constB101)),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 11.87/7.92 tff(3796,plain,
% 11.87/7.92 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102)) | v1(constB101)),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3797,plain,
% 11.87/7.92 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3796, 3795])).
% 11.87/7.92 tff(3798,plain,
% 11.87/7.92 (~v104(constB102)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3797, 3792])).
% 11.87/7.92 tff(3799,plain,
% 11.87/7.92 ((~((~v102(constB102)) <=> v104(constB102))) | v102(constB102) | v104(constB102)),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3800,plain,
% 11.87/7.92 (v102(constB102)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3799, 3798, 3788])).
% 11.87/7.92 tff(3801,plain,
% 11.87/7.92 (v1(constB102) <=> v1(constB102)),
% 11.87/7.92 inference(rewrite,[status(thm)],[])).
% 11.87/7.92 tff(3802,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102')).
% 11.87/7.92 tff(3803,plain,
% 11.87/7.92 (v1(constB102)),
% 11.87/7.92 inference(modus_ponens,[status(thm)],[3802, 3801])).
% 11.87/7.92 tff(3804,plain,
% 11.87/7.92 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v1(constB102)) | (~v102(constB102))),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3805,plain,
% 11.87/7.92 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v102(constB102))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3804, 3803])).
% 11.87/7.92 tff(3806,plain,
% 11.87/7.92 (~((~v1(constB102)) | (~v102(constB102)))),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3805, 3800])).
% 11.87/7.92 tff(3807,plain,
% 11.87/7.92 ((~(v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))) | v101(constB102) | ((~v1(constB102)) | (~v102(constB102)))),
% 11.87/7.92 inference(tautology,[status(thm)],[])).
% 11.87/7.92 tff(3808,plain,
% 11.87/7.92 (v101(constB102)),
% 11.87/7.92 inference(unit_resolution,[status(thm)],[3807, 3806, 3784])).
% 11.87/7.92 tff(3809,plain,
% 11.87/7.92 (((~![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)))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3810,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3811,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 11.87/7.93 tff(3812,plain,
% 11.87/7.93 (v110(constB102) <=> v108(constB101)),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3811, 3773, 722])).
% 11.87/7.93 tff(3813,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB101) <=> (v111(constB101) | v112(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3814,plain,
% 11.87/7.93 (v108(constB101) <=> (v111(constB101) | v112(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3813, 733])).
% 11.87/7.93 tff(3815,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3816,plain,
% 11.87/7.93 (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101))))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3815, 745])).
% 11.87/7.93 tff(3817,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB101) <=> (v114(constB101) | v125(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3818,plain,
% 11.87/7.93 (v113(constB101) <=> (v114(constB101) | v125(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3817, 754])).
% 11.87/7.93 tff(3819,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB101) <=> (v115(constB101) | v124(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3820,plain,
% 11.87/7.93 (v114(constB101) <=> (v115(constB101) | v124(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3819, 763])).
% 11.87/7.93 tff(3821,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB101) <=> (v116(constB101) | v123(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3822,plain,
% 11.87/7.93 (v115(constB101) <=> (v116(constB101) | v123(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3821, 772])).
% 11.87/7.93 tff(3823,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB101) <=> (v117(constB101) | v122(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3824,plain,
% 11.87/7.93 (v116(constB101) <=> (v117(constB101) | v122(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3823, 885])).
% 11.87/7.93 tff(3825,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB101) <=> (v118(constB101) | v121(constB101)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3826,plain,
% 11.87/7.93 (v117(constB101) <=> (v118(constB101) | v121(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3825, 1000])).
% 11.87/7.93 tff(3827,plain,
% 11.87/7.93 (((~![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)))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3828,plain,
% 11.87/7.93 ((v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1))))) <=> (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3829,plain,
% 11.87/7.93 (((~![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)))))),
% 11.87/7.93 inference(monotonicity,[status(thm)],[3828])).
% 11.87/7.93 tff(3830,plain,
% 11.87/7.93 (((~![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)))))),
% 11.87/7.93 inference(transitivity,[status(thm)],[3829, 3827])).
% 11.87/7.93 tff(3831,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3832,plain,
% 11.87/7.93 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 11.87/7.93 tff(3833,plain,
% 11.87/7.93 (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3832, 1015])).
% 11.87/7.93 tff(3834,plain,
% 11.87/7.93 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3835,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100')).
% 11.87/7.93 tff(3836,plain,
% 11.87/7.93 (nextState(constB100, constB101)),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 11.87/7.93 tff(3837,plain,
% 11.87/7.93 (((~![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))))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3838,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3839,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3838, 3837])).
% 11.87/7.93 tff(3840,plain,
% 11.87/7.93 (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3839, 3836, 596])).
% 11.87/7.93 tff(3841,plain,
% 11.87/7.93 (((~![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))))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3842,plain,
% 11.87/7.93 (((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3843,plain,
% 11.87/7.93 (((~![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)))))))),
% 11.87/7.93 inference(monotonicity,[status(thm)],[3842])).
% 11.87/7.93 tff(3844,plain,
% 11.87/7.93 (((~![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))))))),
% 11.87/7.93 inference(transitivity,[status(thm)],[3843, 3841])).
% 11.87/7.93 tff(3845,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3846,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 11.87/7.93 tff(3847,plain,
% 11.87/7.93 (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3846, 3836, 616])).
% 11.87/7.93 tff(3848,plain,
% 11.87/7.93 (((~v1(constB101)) | (~v102(constB101))) | v1(constB101)),
% 11.87/7.93 inference(tautology,[status(thm)],[])).
% 11.87/7.93 tff(3849,plain,
% 11.87/7.93 ((~v1(constB101)) | (~v102(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3848, 3795])).
% 11.87/7.93 tff(3850,plain,
% 11.87/7.93 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101)) | (~((~v1(constB101)) | (~v102(constB101))))),
% 11.87/7.93 inference(tautology,[status(thm)],[])).
% 11.87/7.93 tff(3851,plain,
% 11.87/7.93 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3850, 3849])).
% 11.87/7.93 tff(3852,plain,
% 11.87/7.93 (~v101(constB101)),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3851, 3847])).
% 11.87/7.93 tff(3853,plain,
% 11.87/7.93 (((~v101(constB101)) | (~v110(constB101))) | v101(constB101)),
% 11.87/7.93 inference(tautology,[status(thm)],[])).
% 11.87/7.93 tff(3854,plain,
% 11.87/7.93 ((~v101(constB101)) | (~v110(constB101))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3853, 3852])).
% 11.87/7.93 tff(3855,plain,
% 11.87/7.93 ((~(v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))) | (~v100(constB101)) | (~((~v101(constB101)) | (~v110(constB101))))),
% 11.87/7.93 inference(tautology,[status(thm)],[])).
% 11.87/7.93 tff(3856,plain,
% 11.87/7.93 (~v100(constB101)),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3855, 3854, 3840])).
% 11.87/7.93 tff(3857,plain,
% 11.87/7.93 (((~![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))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3858,plain,
% 11.87/7.93 ((~![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))))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3859,plain,
% 11.87/7.93 ((~![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)))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3858, 3857])).
% 11.87/7.93 tff(3860,plain,
% 11.87/7.93 (v100(constB101) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3859, 3836, 645])).
% 11.87/7.93 tff(3861,plain,
% 11.87/7.93 (![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3860, 3856])).
% 11.87/7.93 tff(3862,plain,
% 11.87/7.93 (((~![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)))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3863,plain,
% 11.87/7.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3864,plain,
% 11.87/7.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 11.87/7.93 tff(3865,plain,
% 11.87/7.93 (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3864, 579, 3861])).
% 11.87/7.93 tff(3866,plain,
% 11.87/7.93 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3867,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99')).
% 11.87/7.93 tff(3868,plain,
% 11.87/7.93 (nextState(constB99, constB100)),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 11.87/7.93 tff(3869,plain,
% 11.87/7.93 (((~![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))))))),
% 11.87/7.93 inference(rewrite,[status(thm)],[])).
% 11.87/7.93 tff(3870,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 11.87/7.93 inference(quant_inst,[status(thm)],[])).
% 11.87/7.93 tff(3871,plain,
% 11.87/7.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))),
% 11.87/7.93 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 11.87/7.93 tff(3872,plain,
% 11.87/7.93 (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))),
% 11.87/7.93 inference(unit_resolution,[status(thm)],[3871, 3868, 596])).
% 11.87/7.93 tff(3873,plain,
% 11.87/7.93 (((~![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))))))),
% 11.87/7.94 inference(rewrite,[status(thm)],[])).
% 11.87/7.94 tff(3874,plain,
% 11.87/7.94 (((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 11.87/7.94 inference(rewrite,[status(thm)],[])).
% 11.87/7.94 tff(3875,plain,
% 11.87/7.94 (((~![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)))))))),
% 11.87/7.94 inference(monotonicity,[status(thm)],[3874])).
% 11.87/7.94 tff(3876,plain,
% 11.87/7.94 (((~![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))))))),
% 11.87/7.94 inference(transitivity,[status(thm)],[3875, 3873])).
% 11.87/7.94 tff(3877,plain,
% 11.87/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))),
% 11.87/7.94 inference(quant_inst,[status(thm)],[])).
% 11.87/7.94 tff(3878,plain,
% 11.87/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))),
% 11.87/7.94 inference(modus_ponens,[status(thm)],[3877, 3876])).
% 11.87/7.94 tff(3879,plain,
% 11.87/7.94 (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3878, 3868, 616])).
% 11.87/7.94 tff(3880,plain,
% 11.87/7.94 (((~![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)))),
% 11.87/7.94 inference(rewrite,[status(thm)],[])).
% 11.87/7.94 tff(3881,plain,
% 11.87/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 11.87/7.94 inference(quant_inst,[status(thm)],[])).
% 11.87/7.94 tff(3882,plain,
% 11.87/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100))),
% 11.87/7.94 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 11.87/7.94 tff(3883,plain,
% 11.87/7.94 ((~v102(constB100)) <=> v104(constB100)),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3882, 3868, 678])).
% 11.87/7.94 tff(3884,plain,
% 11.87/7.94 (((~![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)))),
% 11.87/7.94 inference(rewrite,[status(thm)],[])).
% 11.87/7.94 tff(3885,plain,
% 11.87/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 11.87/7.94 inference(quant_inst,[status(thm)],[])).
% 11.87/7.94 tff(3886,plain,
% 11.87/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99))),
% 11.87/7.94 inference(modus_ponens,[status(thm)],[3885, 3884])).
% 11.87/7.94 tff(3887,plain,
% 11.87/7.94 (v104(constB100) <=> v1(constB99)),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3886, 3868, 692])).
% 11.87/7.94 tff(3888,plain,
% 11.87/7.94 ((~v1(constB99)) <=> (~v1(constB99))),
% 11.87/7.94 inference(rewrite,[status(thm)],[])).
% 11.87/7.94 tff(3889,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99')).
% 11.87/7.94 tff(3890,plain,
% 11.87/7.94 (~v1(constB99)),
% 11.87/7.94 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 11.87/7.94 tff(3891,plain,
% 11.87/7.94 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100)) | v1(constB99)),
% 11.87/7.94 inference(tautology,[status(thm)],[])).
% 11.87/7.94 tff(3892,plain,
% 11.87/7.94 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100))),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3891, 3890])).
% 11.87/7.94 tff(3893,plain,
% 11.87/7.94 (~v104(constB100)),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3892, 3887])).
% 11.87/7.94 tff(3894,plain,
% 11.87/7.94 ((~((~v102(constB100)) <=> v104(constB100))) | v102(constB100) | v104(constB100)),
% 11.87/7.94 inference(tautology,[status(thm)],[])).
% 11.87/7.94 tff(3895,plain,
% 11.87/7.94 (v102(constB100)),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3894, 3893, 3883])).
% 11.87/7.94 tff(3896,plain,
% 11.87/7.94 (v1(constB100) <=> v1(constB100)),
% 11.87/7.94 inference(rewrite,[status(thm)],[])).
% 11.87/7.94 tff(3897,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100')).
% 11.87/7.94 tff(3898,plain,
% 11.87/7.94 (v1(constB100)),
% 11.87/7.94 inference(modus_ponens,[status(thm)],[3897, 3896])).
% 11.87/7.94 tff(3899,plain,
% 11.87/7.94 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v1(constB100)) | (~v102(constB100))),
% 11.87/7.94 inference(tautology,[status(thm)],[])).
% 11.87/7.94 tff(3900,plain,
% 11.87/7.94 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v102(constB100))),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3899, 3898])).
% 11.87/7.94 tff(3901,plain,
% 11.87/7.94 (~((~v1(constB100)) | (~v102(constB100)))),
% 11.87/7.94 inference(unit_resolution,[status(thm)],[3900, 3895])).
% 11.87/7.94 tff(3902,plain,
% 11.87/7.94 ((~(v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))) | v101(constB100) | ((~v1(constB100)) | (~v102(constB100)))),
% 11.94/7.94 inference(tautology,[status(thm)],[])).
% 11.94/7.94 tff(3903,plain,
% 11.94/7.94 (v101(constB100)),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3902, 3901, 3879])).
% 11.94/7.94 tff(3904,plain,
% 11.94/7.94 (((~![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)))),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3905,plain,
% 11.94/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3906,plain,
% 11.94/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99))),
% 11.94/7.94 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 11.94/7.94 tff(3907,plain,
% 11.94/7.94 (v110(constB100) <=> v108(constB99)),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3906, 3868, 722])).
% 11.94/7.94 tff(3908,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB99) <=> (v111(constB99) | v112(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3909,plain,
% 11.94/7.94 (v108(constB99) <=> (v111(constB99) | v112(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3908, 733])).
% 11.94/7.94 tff(3910,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3911,plain,
% 11.94/7.94 (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99))))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3910, 745])).
% 11.94/7.94 tff(3912,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB99) <=> (v114(constB99) | v125(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3913,plain,
% 11.94/7.94 (v113(constB99) <=> (v114(constB99) | v125(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3912, 754])).
% 11.94/7.94 tff(3914,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB99) <=> (v115(constB99) | v124(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3915,plain,
% 11.94/7.94 (v114(constB99) <=> (v115(constB99) | v124(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3914, 763])).
% 11.94/7.94 tff(3916,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB99) <=> (v116(constB99) | v123(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3917,plain,
% 11.94/7.94 (v115(constB99) <=> (v116(constB99) | v123(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3916, 772])).
% 11.94/7.94 tff(3918,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB99) <=> (v117(constB99) | v122(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3919,plain,
% 11.94/7.94 (v116(constB99) <=> (v117(constB99) | v122(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3918, 885])).
% 11.94/7.94 tff(3920,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB99) <=> (v118(constB99) | v121(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3921,plain,
% 11.94/7.94 (v117(constB99) <=> (v118(constB99) | v121(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3920, 1000])).
% 11.94/7.94 tff(3922,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB99) <=> (v119(constB99) | v120(constB99)))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3923,plain,
% 11.94/7.94 (v118(constB99) <=> (v119(constB99) | v120(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3922, 1117])).
% 11.94/7.94 tff(3924,plain,
% 11.94/7.94 (((~![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))))))),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3925,plain,
% 11.94/7.94 ((v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0))))) <=> (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3926,plain,
% 11.94/7.94 (((~![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))))))),
% 11.94/7.94 inference(monotonicity,[status(thm)],[3925])).
% 11.94/7.94 tff(3927,plain,
% 11.94/7.94 (((~![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))))))),
% 11.94/7.94 inference(transitivity,[status(thm)],[3926, 3924])).
% 11.94/7.94 tff(3928,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3929,plain,
% 11.94/7.94 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))),
% 11.94/7.94 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 11.94/7.94 tff(3930,plain,
% 11.94/7.94 (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3929, 1132])).
% 11.94/7.94 tff(3931,plain,
% 11.94/7.94 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3932,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98')).
% 11.94/7.94 tff(3933,plain,
% 11.94/7.94 (nextState(constB98, constB99)),
% 11.94/7.94 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 11.94/7.94 tff(3934,plain,
% 11.94/7.94 (((~![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))))))),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3935,plain,
% 11.94/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3936,plain,
% 11.94/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))),
% 11.94/7.94 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 11.94/7.94 tff(3937,plain,
% 11.94/7.94 (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3936, 3933, 596])).
% 11.94/7.94 tff(3938,plain,
% 11.94/7.94 (((~![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))))))),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3939,plain,
% 11.94/7.94 (((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 11.94/7.94 inference(rewrite,[status(thm)],[])).
% 11.94/7.94 tff(3940,plain,
% 11.94/7.94 (((~![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)))))))),
% 11.94/7.94 inference(monotonicity,[status(thm)],[3939])).
% 11.94/7.94 tff(3941,plain,
% 11.94/7.94 (((~![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))))))),
% 11.94/7.94 inference(transitivity,[status(thm)],[3940, 3938])).
% 11.94/7.94 tff(3942,plain,
% 11.94/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))),
% 11.94/7.94 inference(quant_inst,[status(thm)],[])).
% 11.94/7.94 tff(3943,plain,
% 11.94/7.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))),
% 11.94/7.94 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 11.94/7.94 tff(3944,plain,
% 11.94/7.94 (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3943, 3933, 616])).
% 11.94/7.94 tff(3945,plain,
% 11.94/7.94 (((~v1(constB99)) | (~v102(constB99))) | v1(constB99)),
% 11.94/7.94 inference(tautology,[status(thm)],[])).
% 11.94/7.94 tff(3946,plain,
% 11.94/7.94 ((~v1(constB99)) | (~v102(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3945, 3890])).
% 11.94/7.94 tff(3947,plain,
% 11.94/7.94 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99)) | (~((~v1(constB99)) | (~v102(constB99))))),
% 11.94/7.94 inference(tautology,[status(thm)],[])).
% 11.94/7.94 tff(3948,plain,
% 11.94/7.94 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3947, 3946])).
% 11.94/7.94 tff(3949,plain,
% 11.94/7.94 (~v101(constB99)),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3948, 3944])).
% 11.94/7.94 tff(3950,plain,
% 11.94/7.94 (((~v101(constB99)) | (~v110(constB99))) | v101(constB99)),
% 11.94/7.94 inference(tautology,[status(thm)],[])).
% 11.94/7.94 tff(3951,plain,
% 11.94/7.94 ((~v101(constB99)) | (~v110(constB99))),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3950, 3949])).
% 11.94/7.94 tff(3952,plain,
% 11.94/7.94 ((~(v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))) | (~v100(constB99)) | (~((~v101(constB99)) | (~v110(constB99))))),
% 11.94/7.94 inference(tautology,[status(thm)],[])).
% 11.94/7.94 tff(3953,plain,
% 11.94/7.94 (~v100(constB99)),
% 11.94/7.94 inference(unit_resolution,[status(thm)],[3952, 3951, 3937])).
% 11.94/7.94 tff(3954,plain,
% 11.94/7.94 (((~![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))))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3955,plain,
% 11.94/7.95 ((~![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))))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(3956,plain,
% 11.94/7.95 ((~![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)))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 11.94/7.95 tff(3957,plain,
% 11.94/7.95 (v100(constB99) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3956, 3933, 645])).
% 11.94/7.95 tff(3958,plain,
% 11.94/7.95 (![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3957, 3953])).
% 11.94/7.95 tff(3959,plain,
% 11.94/7.95 (((~![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)))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3960,plain,
% 11.94/7.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(3961,plain,
% 11.94/7.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 11.94/7.95 tff(3962,plain,
% 11.94/7.95 (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3961, 579, 3958])).
% 11.94/7.95 tff(3963,plain,
% 11.94/7.95 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3964,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97')).
% 11.94/7.95 tff(3965,plain,
% 11.94/7.95 (nextState(constB97, constB98)),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 11.94/7.95 tff(3966,plain,
% 11.94/7.95 (((~![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))))))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3967,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(3968,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 11.94/7.95 tff(3969,plain,
% 11.94/7.95 (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3968, 3965, 596])).
% 11.94/7.95 tff(3970,plain,
% 11.94/7.95 (((~![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))))))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3971,plain,
% 11.94/7.95 (((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3972,plain,
% 11.94/7.95 (((~![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)))))))),
% 11.94/7.95 inference(monotonicity,[status(thm)],[3971])).
% 11.94/7.95 tff(3973,plain,
% 11.94/7.95 (((~![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))))))),
% 11.94/7.95 inference(transitivity,[status(thm)],[3972, 3970])).
% 11.94/7.95 tff(3974,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(3975,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 11.94/7.95 tff(3976,plain,
% 11.94/7.95 (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3975, 3965, 616])).
% 11.94/7.95 tff(3977,plain,
% 11.94/7.95 (((~![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)))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3978,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(3979,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 11.94/7.95 tff(3980,plain,
% 11.94/7.95 ((~v102(constB98)) <=> v104(constB98)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3979, 3965, 678])).
% 11.94/7.95 tff(3981,plain,
% 11.94/7.95 (((~![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)))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3982,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(3983,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 11.94/7.95 tff(3984,plain,
% 11.94/7.95 (v104(constB98) <=> v1(constB97)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3983, 3965, 692])).
% 11.94/7.95 tff(3985,plain,
% 11.94/7.95 ((~v1(constB97)) <=> (~v1(constB97))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3986,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97')).
% 11.94/7.95 tff(3987,plain,
% 11.94/7.95 (~v1(constB97)),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3986, 3985])).
% 11.94/7.95 tff(3988,plain,
% 11.94/7.95 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98)) | v1(constB97)),
% 11.94/7.95 inference(tautology,[status(thm)],[])).
% 11.94/7.95 tff(3989,plain,
% 11.94/7.95 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3988, 3987])).
% 11.94/7.95 tff(3990,plain,
% 11.94/7.95 (~v104(constB98)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3989, 3984])).
% 11.94/7.95 tff(3991,plain,
% 11.94/7.95 ((~((~v102(constB98)) <=> v104(constB98))) | v102(constB98) | v104(constB98)),
% 11.94/7.95 inference(tautology,[status(thm)],[])).
% 11.94/7.95 tff(3992,plain,
% 11.94/7.95 (v102(constB98)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3991, 3990, 3980])).
% 11.94/7.95 tff(3993,plain,
% 11.94/7.95 (v1(constB98) <=> v1(constB98)),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(3994,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98')).
% 11.94/7.95 tff(3995,plain,
% 11.94/7.95 (v1(constB98)),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[3994, 3993])).
% 11.94/7.95 tff(3996,plain,
% 11.94/7.95 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v1(constB98)) | (~v102(constB98))),
% 11.94/7.95 inference(tautology,[status(thm)],[])).
% 11.94/7.95 tff(3997,plain,
% 11.94/7.95 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v102(constB98))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3996, 3995])).
% 11.94/7.95 tff(3998,plain,
% 11.94/7.95 (~((~v1(constB98)) | (~v102(constB98)))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3997, 3992])).
% 11.94/7.95 tff(3999,plain,
% 11.94/7.95 ((~(v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))) | v101(constB98) | ((~v1(constB98)) | (~v102(constB98)))),
% 11.94/7.95 inference(tautology,[status(thm)],[])).
% 11.94/7.95 tff(4000,plain,
% 11.94/7.95 (v101(constB98)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[3999, 3998, 3976])).
% 11.94/7.95 tff(4001,plain,
% 11.94/7.95 (((~![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)))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(4002,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(4003,plain,
% 11.94/7.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[4002, 4001])).
% 11.94/7.95 tff(4004,plain,
% 11.94/7.95 (v110(constB98) <=> v108(constB97)),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[4003, 3965, 722])).
% 11.94/7.95 tff(4005,plain,
% 11.94/7.95 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB97) <=> (v111(constB97) | v112(constB97)))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(4006,plain,
% 11.94/7.95 (v108(constB97) <=> (v111(constB97) | v112(constB97))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[4005, 733])).
% 11.94/7.95 tff(4007,plain,
% 11.94/7.95 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(4008,plain,
% 11.94/7.95 (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97))))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[4007, 745])).
% 11.94/7.95 tff(4009,plain,
% 11.94/7.95 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB97) <=> (v114(constB97) | v125(constB97)))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(4010,plain,
% 11.94/7.95 (v113(constB97) <=> (v114(constB97) | v125(constB97))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[4009, 754])).
% 11.94/7.95 tff(4011,plain,
% 11.94/7.95 (((~![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)))))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(4012,plain,
% 11.94/7.95 ((v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2))))) <=> (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(4013,plain,
% 11.94/7.95 (((~![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)))))),
% 11.94/7.95 inference(monotonicity,[status(thm)],[4012])).
% 11.94/7.95 tff(4014,plain,
% 11.94/7.95 (((~![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)))))),
% 11.94/7.95 inference(transitivity,[status(thm)],[4013, 4011])).
% 11.94/7.95 tff(4015,plain,
% 11.94/7.95 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))))),
% 11.94/7.95 inference(quant_inst,[status(thm)],[])).
% 11.94/7.95 tff(4016,plain,
% 11.94/7.95 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 11.94/7.95 tff(4017,plain,
% 11.94/7.95 (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))),
% 11.94/7.95 inference(unit_resolution,[status(thm)],[4016, 3458])).
% 11.94/7.95 tff(4018,plain,
% 11.94/7.95 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 11.94/7.95 inference(rewrite,[status(thm)],[])).
% 11.94/7.95 tff(4019,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96')).
% 11.94/7.95 tff(4020,plain,
% 11.94/7.95 (nextState(constB96, constB97)),
% 11.94/7.95 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 11.94/7.95 tff(4021,plain,
% 11.94/7.95 (((~![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))))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4022,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 11.94/7.96 inference(quant_inst,[status(thm)],[])).
% 11.94/7.96 tff(4023,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 11.94/7.96 tff(4024,plain,
% 11.94/7.96 (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4023, 4020, 596])).
% 11.94/7.96 tff(4025,plain,
% 11.94/7.96 (((~![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))))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4026,plain,
% 11.94/7.96 (((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4027,plain,
% 11.94/7.96 (((~![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)))))))),
% 11.94/7.96 inference(monotonicity,[status(thm)],[4026])).
% 11.94/7.96 tff(4028,plain,
% 11.94/7.96 (((~![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))))))),
% 11.94/7.96 inference(transitivity,[status(thm)],[4027, 4025])).
% 11.94/7.96 tff(4029,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))),
% 11.94/7.96 inference(quant_inst,[status(thm)],[])).
% 11.94/7.96 tff(4030,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 11.94/7.96 tff(4031,plain,
% 11.94/7.96 (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4030, 4020, 616])).
% 11.94/7.96 tff(4032,plain,
% 11.94/7.96 (((~v1(constB97)) | (~v102(constB97))) | v1(constB97)),
% 11.94/7.96 inference(tautology,[status(thm)],[])).
% 11.94/7.96 tff(4033,plain,
% 11.94/7.96 ((~v1(constB97)) | (~v102(constB97))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4032, 3987])).
% 11.94/7.96 tff(4034,plain,
% 11.94/7.96 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97)) | (~((~v1(constB97)) | (~v102(constB97))))),
% 11.94/7.96 inference(tautology,[status(thm)],[])).
% 11.94/7.96 tff(4035,plain,
% 11.94/7.96 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4034, 4033])).
% 11.94/7.96 tff(4036,plain,
% 11.94/7.96 (~v101(constB97)),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4035, 4031])).
% 11.94/7.96 tff(4037,plain,
% 11.94/7.96 (((~v101(constB97)) | (~v110(constB97))) | v101(constB97)),
% 11.94/7.96 inference(tautology,[status(thm)],[])).
% 11.94/7.96 tff(4038,plain,
% 11.94/7.96 ((~v101(constB97)) | (~v110(constB97))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4037, 4036])).
% 11.94/7.96 tff(4039,plain,
% 11.94/7.96 ((~(v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))) | (~v100(constB97)) | (~((~v101(constB97)) | (~v110(constB97))))),
% 11.94/7.96 inference(tautology,[status(thm)],[])).
% 11.94/7.96 tff(4040,plain,
% 11.94/7.96 (~v100(constB97)),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4039, 4038, 4024])).
% 11.94/7.96 tff(4041,plain,
% 11.94/7.96 (((~![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))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4042,plain,
% 11.94/7.96 ((~![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))))),
% 11.94/7.96 inference(quant_inst,[status(thm)],[])).
% 11.94/7.96 tff(4043,plain,
% 11.94/7.96 ((~![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)))),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 11.94/7.96 tff(4044,plain,
% 11.94/7.96 (v100(constB97) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4043, 4020, 645])).
% 11.94/7.96 tff(4045,plain,
% 11.94/7.96 (![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4044, 4040])).
% 11.94/7.96 tff(4046,plain,
% 11.94/7.96 (((~![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)))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4047,plain,
% 11.94/7.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))),
% 11.94/7.96 inference(quant_inst,[status(thm)],[])).
% 11.94/7.96 tff(4048,plain,
% 11.94/7.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2))),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 11.94/7.96 tff(4049,plain,
% 11.94/7.96 (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4048, 579, 4045])).
% 11.94/7.96 tff(4050,plain,
% 11.94/7.96 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4051,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95')).
% 11.94/7.96 tff(4052,plain,
% 11.94/7.96 (nextState(constB95, constB96)),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 11.94/7.96 tff(4053,plain,
% 11.94/7.96 (((~![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))))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4054,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 11.94/7.96 inference(quant_inst,[status(thm)],[])).
% 11.94/7.96 tff(4055,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 11.94/7.96 tff(4056,plain,
% 11.94/7.96 (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4055, 4052, 596])).
% 11.94/7.96 tff(4057,plain,
% 11.94/7.96 (((~![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))))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4058,plain,
% 11.94/7.96 (((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4059,plain,
% 11.94/7.96 (((~![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)))))))),
% 11.94/7.96 inference(monotonicity,[status(thm)],[4058])).
% 11.94/7.96 tff(4060,plain,
% 11.94/7.96 (((~![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))))))),
% 11.94/7.96 inference(transitivity,[status(thm)],[4059, 4057])).
% 11.94/7.96 tff(4061,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))),
% 11.94/7.96 inference(quant_inst,[status(thm)],[])).
% 11.94/7.96 tff(4062,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))),
% 11.94/7.96 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 11.94/7.96 tff(4063,plain,
% 11.94/7.96 (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))),
% 11.94/7.96 inference(unit_resolution,[status(thm)],[4062, 4052, 616])).
% 11.94/7.96 tff(4064,plain,
% 11.94/7.96 (((~![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)))),
% 11.94/7.96 inference(rewrite,[status(thm)],[])).
% 11.94/7.96 tff(4065,plain,
% 11.94/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 11.96/7.96 inference(quant_inst,[status(thm)],[])).
% 11.96/7.96 tff(4066,plain,
% 11.96/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96))),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 11.96/7.96 tff(4067,plain,
% 11.96/7.96 ((~v102(constB96)) <=> v104(constB96)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4066, 4052, 678])).
% 11.96/7.96 tff(4068,plain,
% 11.96/7.96 (((~![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)))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(4069,plain,
% 11.96/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 11.96/7.96 inference(quant_inst,[status(thm)],[])).
% 11.96/7.96 tff(4070,plain,
% 11.96/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95))),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 11.96/7.96 tff(4071,plain,
% 11.96/7.96 (v104(constB96) <=> v1(constB95)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4070, 4052, 692])).
% 11.96/7.96 tff(4072,plain,
% 11.96/7.96 ((~v1(constB95)) <=> (~v1(constB95))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(4073,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95')).
% 11.96/7.96 tff(4074,plain,
% 11.96/7.96 (~v1(constB95)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 11.96/7.96 tff(4075,plain,
% 11.96/7.96 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96)) | v1(constB95)),
% 11.96/7.96 inference(tautology,[status(thm)],[])).
% 11.96/7.96 tff(4076,plain,
% 11.96/7.96 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96))),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4075, 4074])).
% 11.96/7.96 tff(4077,plain,
% 11.96/7.96 (~v104(constB96)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4076, 4071])).
% 11.96/7.96 tff(4078,plain,
% 11.96/7.96 ((~((~v102(constB96)) <=> v104(constB96))) | v102(constB96) | v104(constB96)),
% 11.96/7.96 inference(tautology,[status(thm)],[])).
% 11.96/7.96 tff(4079,plain,
% 11.96/7.96 (v102(constB96)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4078, 4077, 4067])).
% 11.96/7.96 tff(4080,plain,
% 11.96/7.96 (v1(constB96) <=> v1(constB96)),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(4081,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96')).
% 11.96/7.96 tff(4082,plain,
% 11.96/7.96 (v1(constB96)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[4081, 4080])).
% 11.96/7.96 tff(4083,plain,
% 11.96/7.96 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v1(constB96)) | (~v102(constB96))),
% 11.96/7.96 inference(tautology,[status(thm)],[])).
% 11.96/7.96 tff(4084,plain,
% 11.96/7.96 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v102(constB96))),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4083, 4082])).
% 11.96/7.96 tff(4085,plain,
% 11.96/7.96 (~((~v1(constB96)) | (~v102(constB96)))),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4084, 4079])).
% 11.96/7.96 tff(4086,plain,
% 11.96/7.96 ((~(v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))) | v101(constB96) | ((~v1(constB96)) | (~v102(constB96)))),
% 11.96/7.96 inference(tautology,[status(thm)],[])).
% 11.96/7.96 tff(4087,plain,
% 11.96/7.96 (v101(constB96)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[4086, 4085, 4063])).
% 11.96/7.96 tff(4088,plain,
% 11.96/7.96 (((~![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)))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(4089,plain,
% 11.96/7.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4090,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4089, 4088])).
% 11.96/7.97 tff(4091,plain,
% 11.96/7.97 (v110(constB96) <=> v108(constB95)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4090, 4052, 722])).
% 11.96/7.97 tff(4092,plain,
% 11.96/7.97 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB95) <=> (v111(constB95) | v112(constB95)))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4093,plain,
% 11.96/7.97 (v108(constB95) <=> (v111(constB95) | v112(constB95))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4092, 733])).
% 11.96/7.97 tff(4094,plain,
% 11.96/7.97 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4095,plain,
% 11.96/7.97 (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95))))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4094, 745])).
% 11.96/7.97 tff(4096,plain,
% 11.96/7.97 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB95) <=> (v114(constB95) | v125(constB95)))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4097,plain,
% 11.96/7.97 (v113(constB95) <=> (v114(constB95) | v125(constB95))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4096, 754])).
% 11.96/7.97 tff(4098,plain,
% 11.96/7.97 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB95) <=> (v115(constB95) | v124(constB95)))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4099,plain,
% 11.96/7.97 (v114(constB95) <=> (v115(constB95) | v124(constB95))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4098, 763])).
% 11.96/7.97 tff(4100,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4101,plain,
% 11.96/7.97 ((v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2))))) <=> (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4102,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(monotonicity,[status(thm)],[4101])).
% 11.96/7.97 tff(4103,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(transitivity,[status(thm)],[4102, 4100])).
% 11.96/7.97 tff(4104,plain,
% 11.96/7.97 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4105,plain,
% 11.96/7.97 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 11.96/7.97 tff(4106,plain,
% 11.96/7.97 (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4105, 2651])).
% 11.96/7.97 tff(4107,plain,
% 11.96/7.97 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4108,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94')).
% 11.96/7.97 tff(4109,plain,
% 11.96/7.97 (nextState(constB94, constB95)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4108, 4107])).
% 11.96/7.97 tff(4110,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4111,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4112,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4111, 4110])).
% 11.96/7.97 tff(4113,plain,
% 11.96/7.97 (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4112, 4109, 596])).
% 11.96/7.97 tff(4114,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4115,plain,
% 11.96/7.97 (((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4116,plain,
% 11.96/7.97 (((~![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)))))))),
% 11.96/7.97 inference(monotonicity,[status(thm)],[4115])).
% 11.96/7.97 tff(4117,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(transitivity,[status(thm)],[4116, 4114])).
% 11.96/7.97 tff(4118,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4119,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 11.96/7.97 tff(4120,plain,
% 11.96/7.97 (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4119, 4109, 616])).
% 11.96/7.97 tff(4121,plain,
% 11.96/7.97 (((~v1(constB95)) | (~v102(constB95))) | v1(constB95)),
% 11.96/7.97 inference(tautology,[status(thm)],[])).
% 11.96/7.97 tff(4122,plain,
% 11.96/7.97 ((~v1(constB95)) | (~v102(constB95))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4121, 4074])).
% 11.96/7.97 tff(4123,plain,
% 11.96/7.97 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95)) | (~((~v1(constB95)) | (~v102(constB95))))),
% 11.96/7.97 inference(tautology,[status(thm)],[])).
% 11.96/7.97 tff(4124,plain,
% 11.96/7.97 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4123, 4122])).
% 11.96/7.97 tff(4125,plain,
% 11.96/7.97 (~v101(constB95)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4124, 4120])).
% 11.96/7.97 tff(4126,plain,
% 11.96/7.97 (((~v101(constB95)) | (~v110(constB95))) | v101(constB95)),
% 11.96/7.97 inference(tautology,[status(thm)],[])).
% 11.96/7.97 tff(4127,plain,
% 11.96/7.97 ((~v101(constB95)) | (~v110(constB95))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4126, 4125])).
% 11.96/7.97 tff(4128,plain,
% 11.96/7.97 ((~(v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))) | (~v100(constB95)) | (~((~v101(constB95)) | (~v110(constB95))))),
% 11.96/7.97 inference(tautology,[status(thm)],[])).
% 11.96/7.97 tff(4129,plain,
% 11.96/7.97 (~v100(constB95)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4128, 4127, 4113])).
% 11.96/7.97 tff(4130,plain,
% 11.96/7.97 (((~![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))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4131,plain,
% 11.96/7.97 ((~![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))))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4132,plain,
% 11.96/7.97 ((~![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)))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 11.96/7.97 tff(4133,plain,
% 11.96/7.97 (v100(constB95) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4132, 4109, 645])).
% 11.96/7.97 tff(4134,plain,
% 11.96/7.97 (![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4133, 4129])).
% 11.96/7.97 tff(4135,plain,
% 11.96/7.97 (((~![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)))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4136,plain,
% 11.96/7.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4137,plain,
% 11.96/7.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 11.96/7.97 tff(4138,plain,
% 11.96/7.97 (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4137, 579, 4134])).
% 11.96/7.97 tff(4139,plain,
% 11.96/7.97 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4140,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93')).
% 11.96/7.97 tff(4141,plain,
% 11.96/7.97 (nextState(constB93, constB94)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 11.96/7.97 tff(4142,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4143,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(4144,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[4143, 4142])).
% 11.96/7.97 tff(4145,plain,
% 11.96/7.97 (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[4144, 4141, 596])).
% 11.96/7.97 tff(4146,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4147,plain,
% 11.96/7.97 (((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(4148,plain,
% 11.96/7.97 (((~![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)))))))),
% 11.96/7.97 inference(monotonicity,[status(thm)],[4147])).
% 11.96/7.97 tff(4149,plain,
% 11.96/7.97 (((~![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))))))),
% 11.96/7.97 inference(transitivity,[status(thm)],[4148, 4146])).
% 11.96/7.97 tff(4150,plain,
% 11.96/7.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4151,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 11.96/7.98 tff(4152,plain,
% 11.96/7.98 (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4151, 4141, 616])).
% 11.96/7.98 tff(4153,plain,
% 11.96/7.98 (((~![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)))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4154,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4155,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 11.96/7.98 tff(4156,plain,
% 11.96/7.98 ((~v102(constB94)) <=> v104(constB94)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4155, 4141, 678])).
% 11.96/7.98 tff(4157,plain,
% 11.96/7.98 (((~![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)))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4158,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4159,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 11.96/7.98 tff(4160,plain,
% 11.96/7.98 (v104(constB94) <=> v1(constB93)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4159, 4141, 692])).
% 11.96/7.98 tff(4161,plain,
% 11.96/7.98 ((~v1(constB93)) <=> (~v1(constB93))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4162,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93')).
% 11.96/7.98 tff(4163,plain,
% 11.96/7.98 (~v1(constB93)),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 11.96/7.98 tff(4164,plain,
% 11.96/7.98 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94)) | v1(constB93)),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4165,plain,
% 11.96/7.98 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4164, 4163])).
% 11.96/7.98 tff(4166,plain,
% 11.96/7.98 (~v104(constB94)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4165, 4160])).
% 11.96/7.98 tff(4167,plain,
% 11.96/7.98 ((~((~v102(constB94)) <=> v104(constB94))) | v102(constB94) | v104(constB94)),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4168,plain,
% 11.96/7.98 (v102(constB94)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4167, 4166, 4156])).
% 11.96/7.98 tff(4169,plain,
% 11.96/7.98 (v1(constB94) <=> v1(constB94)),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4170,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94')).
% 11.96/7.98 tff(4171,plain,
% 11.96/7.98 (v1(constB94)),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4170, 4169])).
% 11.96/7.98 tff(4172,plain,
% 11.96/7.98 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v1(constB94)) | (~v102(constB94))),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4173,plain,
% 11.96/7.98 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v102(constB94))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4172, 4171])).
% 11.96/7.98 tff(4174,plain,
% 11.96/7.98 (~((~v1(constB94)) | (~v102(constB94)))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4173, 4168])).
% 11.96/7.98 tff(4175,plain,
% 11.96/7.98 ((~(v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))) | v101(constB94) | ((~v1(constB94)) | (~v102(constB94)))),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4176,plain,
% 11.96/7.98 (v101(constB94)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4175, 4174, 4152])).
% 11.96/7.98 tff(4177,plain,
% 11.96/7.98 (((~![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)))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4178,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4179,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 11.96/7.98 tff(4180,plain,
% 11.96/7.98 (v110(constB94) <=> v108(constB93)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4179, 4141, 722])).
% 11.96/7.98 tff(4181,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB93) <=> (v111(constB93) | v112(constB93)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4182,plain,
% 11.96/7.98 (v108(constB93) <=> (v111(constB93) | v112(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4181, 733])).
% 11.96/7.98 tff(4183,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4184,plain,
% 11.96/7.98 (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93))))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4183, 745])).
% 11.96/7.98 tff(4185,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB93) <=> (v114(constB93) | v125(constB93)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4186,plain,
% 11.96/7.98 (v113(constB93) <=> (v114(constB93) | v125(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4185, 754])).
% 11.96/7.98 tff(4187,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB93) <=> (v115(constB93) | v124(constB93)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4188,plain,
% 11.96/7.98 (v114(constB93) <=> (v115(constB93) | v124(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4187, 763])).
% 11.96/7.98 tff(4189,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB93) <=> (v116(constB93) | v123(constB93)))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4190,plain,
% 11.96/7.98 (v115(constB93) <=> (v116(constB93) | v123(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4189, 772])).
% 11.96/7.98 tff(4191,plain,
% 11.96/7.98 (((~![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)))))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4192,plain,
% 11.96/7.98 ((v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2))))) <=> (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4193,plain,
% 11.96/7.98 (((~![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)))))),
% 11.96/7.98 inference(monotonicity,[status(thm)],[4192])).
% 11.96/7.98 tff(4194,plain,
% 11.96/7.98 (((~![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)))))),
% 11.96/7.98 inference(transitivity,[status(thm)],[4193, 4191])).
% 11.96/7.98 tff(4195,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4196,plain,
% 11.96/7.98 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 11.96/7.98 tff(4197,plain,
% 11.96/7.98 (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4196, 787])).
% 11.96/7.98 tff(4198,plain,
% 11.96/7.98 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4199,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92')).
% 11.96/7.98 tff(4200,plain,
% 11.96/7.98 (nextState(constB92, constB93)),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4199, 4198])).
% 11.96/7.98 tff(4201,plain,
% 11.96/7.98 (((~![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))))))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4202,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4203,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 11.96/7.98 tff(4204,plain,
% 11.96/7.98 (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4203, 4200, 596])).
% 11.96/7.98 tff(4205,plain,
% 11.96/7.98 (((~![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))))))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4206,plain,
% 11.96/7.98 (((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4207,plain,
% 11.96/7.98 (((~![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)))))))),
% 11.96/7.98 inference(monotonicity,[status(thm)],[4206])).
% 11.96/7.98 tff(4208,plain,
% 11.96/7.98 (((~![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))))))),
% 11.96/7.98 inference(transitivity,[status(thm)],[4207, 4205])).
% 11.96/7.98 tff(4209,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))),
% 11.96/7.98 inference(quant_inst,[status(thm)],[])).
% 11.96/7.98 tff(4210,plain,
% 11.96/7.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 11.96/7.98 tff(4211,plain,
% 11.96/7.98 (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4210, 4200, 616])).
% 11.96/7.98 tff(4212,plain,
% 11.96/7.98 (((~v1(constB93)) | (~v102(constB93))) | v1(constB93)),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4213,plain,
% 11.96/7.98 ((~v1(constB93)) | (~v102(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4212, 4163])).
% 11.96/7.98 tff(4214,plain,
% 11.96/7.98 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93)) | (~((~v1(constB93)) | (~v102(constB93))))),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4215,plain,
% 11.96/7.98 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4214, 4213])).
% 11.96/7.98 tff(4216,plain,
% 11.96/7.98 (~v101(constB93)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4215, 4211])).
% 11.96/7.98 tff(4217,plain,
% 11.96/7.98 (((~v101(constB93)) | (~v110(constB93))) | v101(constB93)),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4218,plain,
% 11.96/7.98 ((~v101(constB93)) | (~v110(constB93))),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4217, 4216])).
% 11.96/7.98 tff(4219,plain,
% 11.96/7.98 ((~(v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))) | (~v100(constB93)) | (~((~v101(constB93)) | (~v110(constB93))))),
% 11.96/7.98 inference(tautology,[status(thm)],[])).
% 11.96/7.98 tff(4220,plain,
% 11.96/7.98 (~v100(constB93)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[4219, 4218, 4204])).
% 11.96/7.98 tff(4221,plain,
% 11.96/7.98 (((~![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))))),
% 11.96/7.98 inference(rewrite,[status(thm)],[])).
% 11.96/7.98 tff(4222,plain,
% 11.96/7.98 ((~![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))))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4223,plain,
% 11.96/7.99 ((~![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)))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 11.96/7.99 tff(4224,plain,
% 11.96/7.99 (v100(constB93) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4223, 4200, 645])).
% 11.96/7.99 tff(4225,plain,
% 11.96/7.99 (![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4224, 4220])).
% 11.96/7.99 tff(4226,plain,
% 11.96/7.99 (((~![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)))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4227,plain,
% 11.96/7.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4228,plain,
% 11.96/7.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 11.96/7.99 tff(4229,plain,
% 11.96/7.99 (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4228, 579, 4225])).
% 11.96/7.99 tff(4230,plain,
% 11.96/7.99 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4231,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91')).
% 11.96/7.99 tff(4232,plain,
% 11.96/7.99 (nextState(constB91, constB92)),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 11.96/7.99 tff(4233,plain,
% 11.96/7.99 (((~![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))))))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4234,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4235,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 11.96/7.99 tff(4236,plain,
% 11.96/7.99 (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4235, 4232, 596])).
% 11.96/7.99 tff(4237,plain,
% 11.96/7.99 (((~![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))))))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4238,plain,
% 11.96/7.99 (((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4239,plain,
% 11.96/7.99 (((~![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)))))))),
% 11.96/7.99 inference(monotonicity,[status(thm)],[4238])).
% 11.96/7.99 tff(4240,plain,
% 11.96/7.99 (((~![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))))))),
% 11.96/7.99 inference(transitivity,[status(thm)],[4239, 4237])).
% 11.96/7.99 tff(4241,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4242,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 11.96/7.99 tff(4243,plain,
% 11.96/7.99 (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4242, 4232, 616])).
% 11.96/7.99 tff(4244,plain,
% 11.96/7.99 (((~![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)))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4245,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4246,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 11.96/7.99 tff(4247,plain,
% 11.96/7.99 ((~v102(constB92)) <=> v104(constB92)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4246, 4232, 678])).
% 11.96/7.99 tff(4248,plain,
% 11.96/7.99 (((~![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)))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4249,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4250,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 11.96/7.99 tff(4251,plain,
% 11.96/7.99 (v104(constB92) <=> v1(constB91)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4250, 4232, 692])).
% 11.96/7.99 tff(4252,plain,
% 11.96/7.99 ((~v1(constB91)) <=> (~v1(constB91))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4253,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91')).
% 11.96/7.99 tff(4254,plain,
% 11.96/7.99 (~v1(constB91)),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4253, 4252])).
% 11.96/7.99 tff(4255,plain,
% 11.96/7.99 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92)) | v1(constB91)),
% 11.96/7.99 inference(tautology,[status(thm)],[])).
% 11.96/7.99 tff(4256,plain,
% 11.96/7.99 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4255, 4254])).
% 11.96/7.99 tff(4257,plain,
% 11.96/7.99 (~v104(constB92)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4256, 4251])).
% 11.96/7.99 tff(4258,plain,
% 11.96/7.99 ((~((~v102(constB92)) <=> v104(constB92))) | v102(constB92) | v104(constB92)),
% 11.96/7.99 inference(tautology,[status(thm)],[])).
% 11.96/7.99 tff(4259,plain,
% 11.96/7.99 (v102(constB92)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4258, 4257, 4247])).
% 11.96/7.99 tff(4260,plain,
% 11.96/7.99 (v1(constB92) <=> v1(constB92)),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4261,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92')).
% 11.96/7.99 tff(4262,plain,
% 11.96/7.99 (v1(constB92)),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 11.96/7.99 tff(4263,plain,
% 11.96/7.99 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v1(constB92)) | (~v102(constB92))),
% 11.96/7.99 inference(tautology,[status(thm)],[])).
% 11.96/7.99 tff(4264,plain,
% 11.96/7.99 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v102(constB92))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4263, 4262])).
% 11.96/7.99 tff(4265,plain,
% 11.96/7.99 (~((~v1(constB92)) | (~v102(constB92)))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4264, 4259])).
% 11.96/7.99 tff(4266,plain,
% 11.96/7.99 ((~(v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))) | v101(constB92) | ((~v1(constB92)) | (~v102(constB92)))),
% 11.96/7.99 inference(tautology,[status(thm)],[])).
% 11.96/7.99 tff(4267,plain,
% 11.96/7.99 (v101(constB92)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4266, 4265, 4243])).
% 11.96/7.99 tff(4268,plain,
% 11.96/7.99 (((~![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)))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4269,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4270,plain,
% 11.96/7.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 11.96/7.99 tff(4271,plain,
% 11.96/7.99 (v110(constB92) <=> v108(constB91)),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4270, 4232, 722])).
% 11.96/7.99 tff(4272,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB91) <=> (v111(constB91) | v112(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4273,plain,
% 11.96/7.99 (v108(constB91) <=> (v111(constB91) | v112(constB91))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4272, 733])).
% 11.96/7.99 tff(4274,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4275,plain,
% 11.96/7.99 (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91))))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4274, 745])).
% 11.96/7.99 tff(4276,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB91) <=> (v114(constB91) | v125(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4277,plain,
% 11.96/7.99 (v113(constB91) <=> (v114(constB91) | v125(constB91))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4276, 754])).
% 11.96/7.99 tff(4278,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB91) <=> (v115(constB91) | v124(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4279,plain,
% 11.96/7.99 (v114(constB91) <=> (v115(constB91) | v124(constB91))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4278, 763])).
% 11.96/7.99 tff(4280,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB91) <=> (v116(constB91) | v123(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4281,plain,
% 11.96/7.99 (v115(constB91) <=> (v116(constB91) | v123(constB91))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4280, 772])).
% 11.96/7.99 tff(4282,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB91) <=> (v117(constB91) | v122(constB91)))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4283,plain,
% 11.96/7.99 (v116(constB91) <=> (v117(constB91) | v122(constB91))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4282, 885])).
% 11.96/7.99 tff(4284,plain,
% 11.96/7.99 (((~![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))))))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4285,plain,
% 11.96/7.99 ((v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1))))) <=> (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4286,plain,
% 11.96/7.99 (((~![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))))))),
% 11.96/7.99 inference(monotonicity,[status(thm)],[4285])).
% 11.96/7.99 tff(4287,plain,
% 11.96/7.99 (((~![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))))))),
% 11.96/7.99 inference(transitivity,[status(thm)],[4286, 4284])).
% 11.96/7.99 tff(4288,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))),
% 11.96/7.99 inference(quant_inst,[status(thm)],[])).
% 11.96/7.99 tff(4289,plain,
% 11.96/7.99 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 11.96/7.99 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 11.96/7.99 tff(4290,plain,
% 11.96/7.99 (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))),
% 11.96/7.99 inference(unit_resolution,[status(thm)],[4289, 900])).
% 11.96/7.99 tff(4291,plain,
% 11.96/7.99 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 11.96/7.99 inference(rewrite,[status(thm)],[])).
% 11.96/7.99 tff(4292,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90')).
% 11.96/7.99 tff(4293,plain,
% 11.96/8.00 (nextState(constB90, constB91)),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 11.96/8.00 tff(4294,plain,
% 11.96/8.00 (((~![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))))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4295,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4296,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4295, 4294])).
% 11.96/8.00 tff(4297,plain,
% 11.96/8.00 (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4296, 4293, 596])).
% 11.96/8.00 tff(4298,plain,
% 11.96/8.00 (((~![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))))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4299,plain,
% 11.96/8.00 (((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4300,plain,
% 11.96/8.00 (((~![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)))))))),
% 11.96/8.00 inference(monotonicity,[status(thm)],[4299])).
% 11.96/8.00 tff(4301,plain,
% 11.96/8.00 (((~![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))))))),
% 11.96/8.00 inference(transitivity,[status(thm)],[4300, 4298])).
% 11.96/8.00 tff(4302,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4303,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 11.96/8.00 tff(4304,plain,
% 11.96/8.00 (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4303, 4293, 616])).
% 11.96/8.00 tff(4305,plain,
% 11.96/8.00 (((~v1(constB91)) | (~v102(constB91))) | v1(constB91)),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4306,plain,
% 11.96/8.00 ((~v1(constB91)) | (~v102(constB91))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4305, 4254])).
% 11.96/8.00 tff(4307,plain,
% 11.96/8.00 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91)) | (~((~v1(constB91)) | (~v102(constB91))))),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4308,plain,
% 11.96/8.00 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4307, 4306])).
% 11.96/8.00 tff(4309,plain,
% 11.96/8.00 (~v101(constB91)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4308, 4304])).
% 11.96/8.00 tff(4310,plain,
% 11.96/8.00 (((~v101(constB91)) | (~v110(constB91))) | v101(constB91)),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4311,plain,
% 11.96/8.00 ((~v101(constB91)) | (~v110(constB91))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4310, 4309])).
% 11.96/8.00 tff(4312,plain,
% 11.96/8.00 ((~(v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))) | (~v100(constB91)) | (~((~v101(constB91)) | (~v110(constB91))))),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4313,plain,
% 11.96/8.00 (~v100(constB91)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4312, 4311, 4297])).
% 11.96/8.00 tff(4314,plain,
% 11.96/8.00 (((~![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))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4315,plain,
% 11.96/8.00 ((~![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))))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4316,plain,
% 11.96/8.00 ((~![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)))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4315, 4314])).
% 11.96/8.00 tff(4317,plain,
% 11.96/8.00 (v100(constB91) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4316, 4293, 645])).
% 11.96/8.00 tff(4318,plain,
% 11.96/8.00 (![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4317, 4313])).
% 11.96/8.00 tff(4319,plain,
% 11.96/8.00 (((~![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)))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4320,plain,
% 11.96/8.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4321,plain,
% 11.96/8.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 11.96/8.00 tff(4322,plain,
% 11.96/8.00 (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4321, 579, 4318])).
% 11.96/8.00 tff(4323,plain,
% 11.96/8.00 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4324,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89')).
% 11.96/8.00 tff(4325,plain,
% 11.96/8.00 (nextState(constB89, constB90)),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4324, 4323])).
% 11.96/8.00 tff(4326,plain,
% 11.96/8.00 (((~![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))))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4327,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4328,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4327, 4326])).
% 11.96/8.00 tff(4329,plain,
% 11.96/8.00 (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4328, 4325, 596])).
% 11.96/8.00 tff(4330,plain,
% 11.96/8.00 (((~![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))))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4331,plain,
% 11.96/8.00 (((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4332,plain,
% 11.96/8.00 (((~![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)))))))),
% 11.96/8.00 inference(monotonicity,[status(thm)],[4331])).
% 11.96/8.00 tff(4333,plain,
% 11.96/8.00 (((~![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))))))),
% 11.96/8.00 inference(transitivity,[status(thm)],[4332, 4330])).
% 11.96/8.00 tff(4334,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4335,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 11.96/8.00 tff(4336,plain,
% 11.96/8.00 (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4335, 4325, 616])).
% 11.96/8.00 tff(4337,plain,
% 11.96/8.00 (((~![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)))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4338,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4339,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 11.96/8.00 tff(4340,plain,
% 11.96/8.00 ((~v102(constB90)) <=> v104(constB90)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4339, 4325, 678])).
% 11.96/8.00 tff(4341,plain,
% 11.96/8.00 (((~![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)))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4342,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 11.96/8.00 inference(quant_inst,[status(thm)],[])).
% 11.96/8.00 tff(4343,plain,
% 11.96/8.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89))),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 11.96/8.00 tff(4344,plain,
% 11.96/8.00 (v104(constB90) <=> v1(constB89)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4343, 4325, 692])).
% 11.96/8.00 tff(4345,plain,
% 11.96/8.00 ((~v1(constB89)) <=> (~v1(constB89))),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4346,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89')).
% 11.96/8.00 tff(4347,plain,
% 11.96/8.00 (~v1(constB89)),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4346, 4345])).
% 11.96/8.00 tff(4348,plain,
% 11.96/8.00 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90)) | v1(constB89)),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4349,plain,
% 11.96/8.00 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4348, 4347])).
% 11.96/8.00 tff(4350,plain,
% 11.96/8.00 (~v104(constB90)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4349, 4344])).
% 11.96/8.00 tff(4351,plain,
% 11.96/8.00 ((~((~v102(constB90)) <=> v104(constB90))) | v102(constB90) | v104(constB90)),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4352,plain,
% 11.96/8.00 (v102(constB90)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4351, 4350, 4340])).
% 11.96/8.00 tff(4353,plain,
% 11.96/8.00 (v1(constB90) <=> v1(constB90)),
% 11.96/8.00 inference(rewrite,[status(thm)],[])).
% 11.96/8.00 tff(4354,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90')).
% 11.96/8.00 tff(4355,plain,
% 11.96/8.00 (v1(constB90)),
% 11.96/8.00 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 11.96/8.00 tff(4356,plain,
% 11.96/8.00 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v1(constB90)) | (~v102(constB90))),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4357,plain,
% 11.96/8.00 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v102(constB90))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4356, 4355])).
% 11.96/8.00 tff(4358,plain,
% 11.96/8.00 (~((~v1(constB90)) | (~v102(constB90)))),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4357, 4352])).
% 11.96/8.00 tff(4359,plain,
% 11.96/8.00 ((~(v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))) | v101(constB90) | ((~v1(constB90)) | (~v102(constB90)))),
% 11.96/8.00 inference(tautology,[status(thm)],[])).
% 11.96/8.00 tff(4360,plain,
% 11.96/8.00 (v101(constB90)),
% 11.96/8.00 inference(unit_resolution,[status(thm)],[4359, 4358, 4336])).
% 11.96/8.00 tff(4361,plain,
% 11.96/8.00 (((~![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)))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4362,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4363,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4362, 4361])).
% 11.96/8.01 tff(4364,plain,
% 11.96/8.01 (v110(constB90) <=> v108(constB89)),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4363, 4325, 722])).
% 11.96/8.01 tff(4365,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB89) <=> (v111(constB89) | v112(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4366,plain,
% 11.96/8.01 (v108(constB89) <=> (v111(constB89) | v112(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4365, 733])).
% 11.96/8.01 tff(4367,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4368,plain,
% 11.96/8.01 (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89))))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4367, 745])).
% 11.96/8.01 tff(4369,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB89) <=> (v114(constB89) | v125(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4370,plain,
% 11.96/8.01 (v113(constB89) <=> (v114(constB89) | v125(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4369, 754])).
% 11.96/8.01 tff(4371,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB89) <=> (v115(constB89) | v124(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4372,plain,
% 11.96/8.01 (v114(constB89) <=> (v115(constB89) | v124(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4371, 763])).
% 11.96/8.01 tff(4373,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB89) <=> (v116(constB89) | v123(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4374,plain,
% 11.96/8.01 (v115(constB89) <=> (v116(constB89) | v123(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4373, 772])).
% 11.96/8.01 tff(4375,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB89) <=> (v117(constB89) | v122(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4376,plain,
% 11.96/8.01 (v116(constB89) <=> (v117(constB89) | v122(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4375, 885])).
% 11.96/8.01 tff(4377,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB89) <=> (v118(constB89) | v121(constB89)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4378,plain,
% 11.96/8.01 (v117(constB89) <=> (v118(constB89) | v121(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4377, 1000])).
% 11.96/8.01 tff(4379,plain,
% 11.96/8.01 (((~![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)))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4380,plain,
% 11.96/8.01 ((v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1))))) <=> (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4381,plain,
% 11.96/8.01 (((~![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)))))),
% 11.96/8.01 inference(monotonicity,[status(thm)],[4380])).
% 11.96/8.01 tff(4382,plain,
% 11.96/8.01 (((~![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)))))),
% 11.96/8.01 inference(transitivity,[status(thm)],[4381, 4379])).
% 11.96/8.01 tff(4383,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4384,plain,
% 11.96/8.01 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4383, 4382])).
% 11.96/8.01 tff(4385,plain,
% 11.96/8.01 (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4384, 1015])).
% 11.96/8.01 tff(4386,plain,
% 11.96/8.01 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4387,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88')).
% 11.96/8.01 tff(4388,plain,
% 11.96/8.01 (nextState(constB88, constB89)),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 11.96/8.01 tff(4389,plain,
% 11.96/8.01 (((~![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))))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4390,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4391,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 11.96/8.01 tff(4392,plain,
% 11.96/8.01 (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4391, 4388, 596])).
% 11.96/8.01 tff(4393,plain,
% 11.96/8.01 (((~![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))))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4394,plain,
% 11.96/8.01 (((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4395,plain,
% 11.96/8.01 (((~![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)))))))),
% 11.96/8.01 inference(monotonicity,[status(thm)],[4394])).
% 11.96/8.01 tff(4396,plain,
% 11.96/8.01 (((~![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))))))),
% 11.96/8.01 inference(transitivity,[status(thm)],[4395, 4393])).
% 11.96/8.01 tff(4397,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4398,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 11.96/8.01 tff(4399,plain,
% 11.96/8.01 (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4398, 4388, 616])).
% 11.96/8.01 tff(4400,plain,
% 11.96/8.01 (((~v1(constB89)) | (~v102(constB89))) | v1(constB89)),
% 11.96/8.01 inference(tautology,[status(thm)],[])).
% 11.96/8.01 tff(4401,plain,
% 11.96/8.01 ((~v1(constB89)) | (~v102(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4400, 4347])).
% 11.96/8.01 tff(4402,plain,
% 11.96/8.01 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89)) | (~((~v1(constB89)) | (~v102(constB89))))),
% 11.96/8.01 inference(tautology,[status(thm)],[])).
% 11.96/8.01 tff(4403,plain,
% 11.96/8.01 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4402, 4401])).
% 11.96/8.01 tff(4404,plain,
% 11.96/8.01 (~v101(constB89)),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4403, 4399])).
% 11.96/8.01 tff(4405,plain,
% 11.96/8.01 (((~v101(constB89)) | (~v110(constB89))) | v101(constB89)),
% 11.96/8.01 inference(tautology,[status(thm)],[])).
% 11.96/8.01 tff(4406,plain,
% 11.96/8.01 ((~v101(constB89)) | (~v110(constB89))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4405, 4404])).
% 11.96/8.01 tff(4407,plain,
% 11.96/8.01 ((~(v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))) | (~v100(constB89)) | (~((~v101(constB89)) | (~v110(constB89))))),
% 11.96/8.01 inference(tautology,[status(thm)],[])).
% 11.96/8.01 tff(4408,plain,
% 11.96/8.01 (~v100(constB89)),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4407, 4406, 4392])).
% 11.96/8.01 tff(4409,plain,
% 11.96/8.01 (((~![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))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4410,plain,
% 11.96/8.01 ((~![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))))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4411,plain,
% 11.96/8.01 ((~![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)))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4410, 4409])).
% 11.96/8.01 tff(4412,plain,
% 11.96/8.01 (v100(constB89) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4411, 4388, 645])).
% 11.96/8.01 tff(4413,plain,
% 11.96/8.01 (![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4412, 4408])).
% 11.96/8.01 tff(4414,plain,
% 11.96/8.01 (((~![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)))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4415,plain,
% 11.96/8.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4416,plain,
% 11.96/8.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 11.96/8.01 tff(4417,plain,
% 11.96/8.01 (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4416, 579, 4413])).
% 11.96/8.01 tff(4418,plain,
% 11.96/8.01 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4419,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87')).
% 11.96/8.01 tff(4420,plain,
% 11.96/8.01 (nextState(constB87, constB88)),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 11.96/8.01 tff(4421,plain,
% 11.96/8.01 (((~![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))))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4422,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 11.96/8.01 inference(quant_inst,[status(thm)],[])).
% 11.96/8.01 tff(4423,plain,
% 11.96/8.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))),
% 11.96/8.01 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 11.96/8.01 tff(4424,plain,
% 11.96/8.01 (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))),
% 11.96/8.01 inference(unit_resolution,[status(thm)],[4423, 4420, 596])).
% 11.96/8.01 tff(4425,plain,
% 11.96/8.01 (((~![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))))))),
% 11.96/8.01 inference(rewrite,[status(thm)],[])).
% 11.96/8.01 tff(4426,plain,
% 11.96/8.01 (((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 11.96/8.02 inference(rewrite,[status(thm)],[])).
% 11.96/8.02 tff(4427,plain,
% 11.96/8.02 (((~![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)))))))),
% 11.96/8.02 inference(monotonicity,[status(thm)],[4426])).
% 11.96/8.02 tff(4428,plain,
% 11.96/8.02 (((~![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))))))),
% 11.96/8.02 inference(transitivity,[status(thm)],[4427, 4425])).
% 11.96/8.02 tff(4429,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4430,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))),
% 11.96/8.02 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 11.96/8.02 tff(4431,plain,
% 11.96/8.02 (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4430, 4420, 616])).
% 11.96/8.02 tff(4432,plain,
% 11.96/8.02 (((~![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)))),
% 11.96/8.02 inference(rewrite,[status(thm)],[])).
% 11.96/8.02 tff(4433,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4434,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88))),
% 11.96/8.02 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 11.96/8.02 tff(4435,plain,
% 11.96/8.02 ((~v102(constB88)) <=> v104(constB88)),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4434, 4420, 678])).
% 11.96/8.02 tff(4436,plain,
% 11.96/8.02 (((~![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)))),
% 11.96/8.02 inference(rewrite,[status(thm)],[])).
% 11.96/8.02 tff(4437,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4438,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87))),
% 11.96/8.02 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 11.96/8.02 tff(4439,plain,
% 11.96/8.02 (v104(constB88) <=> v1(constB87)),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4438, 4420, 692])).
% 11.96/8.02 tff(4440,plain,
% 11.96/8.02 ((~v1(constB87)) <=> (~v1(constB87))),
% 11.96/8.02 inference(rewrite,[status(thm)],[])).
% 11.96/8.02 tff(4441,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87')).
% 11.96/8.02 tff(4442,plain,
% 11.96/8.02 (~v1(constB87)),
% 11.96/8.02 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 11.96/8.02 tff(4443,plain,
% 11.96/8.02 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88)) | v1(constB87)),
% 11.96/8.02 inference(tautology,[status(thm)],[])).
% 11.96/8.02 tff(4444,plain,
% 11.96/8.02 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4443, 4442])).
% 11.96/8.02 tff(4445,plain,
% 11.96/8.02 (~v104(constB88)),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4444, 4439])).
% 11.96/8.02 tff(4446,plain,
% 11.96/8.02 ((~((~v102(constB88)) <=> v104(constB88))) | v102(constB88) | v104(constB88)),
% 11.96/8.02 inference(tautology,[status(thm)],[])).
% 11.96/8.02 tff(4447,plain,
% 11.96/8.02 (v102(constB88)),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4446, 4445, 4435])).
% 11.96/8.02 tff(4448,plain,
% 11.96/8.02 (v1(constB88) <=> v1(constB88)),
% 11.96/8.02 inference(rewrite,[status(thm)],[])).
% 11.96/8.02 tff(4449,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88')).
% 11.96/8.02 tff(4450,plain,
% 11.96/8.02 (v1(constB88)),
% 11.96/8.02 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 11.96/8.02 tff(4451,plain,
% 11.96/8.02 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v1(constB88)) | (~v102(constB88))),
% 11.96/8.02 inference(tautology,[status(thm)],[])).
% 11.96/8.02 tff(4452,plain,
% 11.96/8.02 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v102(constB88))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4451, 4450])).
% 11.96/8.02 tff(4453,plain,
% 11.96/8.02 (~((~v1(constB88)) | (~v102(constB88)))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4452, 4447])).
% 11.96/8.02 tff(4454,plain,
% 11.96/8.02 ((~(v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))) | v101(constB88) | ((~v1(constB88)) | (~v102(constB88)))),
% 11.96/8.02 inference(tautology,[status(thm)],[])).
% 11.96/8.02 tff(4455,plain,
% 11.96/8.02 (v101(constB88)),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4454, 4453, 4431])).
% 11.96/8.02 tff(4456,plain,
% 11.96/8.02 (((~![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)))),
% 11.96/8.02 inference(rewrite,[status(thm)],[])).
% 11.96/8.02 tff(4457,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4458,plain,
% 11.96/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87))),
% 11.96/8.02 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 11.96/8.02 tff(4459,plain,
% 11.96/8.02 (v110(constB88) <=> v108(constB87)),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4458, 4420, 722])).
% 11.96/8.02 tff(4460,plain,
% 11.96/8.02 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB87) <=> (v111(constB87) | v112(constB87)))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4461,plain,
% 11.96/8.02 (v108(constB87) <=> (v111(constB87) | v112(constB87))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4460, 733])).
% 11.96/8.02 tff(4462,plain,
% 11.96/8.02 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4463,plain,
% 11.96/8.02 (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87))))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4462, 745])).
% 11.96/8.02 tff(4464,plain,
% 11.96/8.02 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB87) <=> (v114(constB87) | v125(constB87)))),
% 11.96/8.02 inference(quant_inst,[status(thm)],[])).
% 11.96/8.02 tff(4465,plain,
% 11.96/8.02 (v113(constB87) <=> (v114(constB87) | v125(constB87))),
% 11.96/8.02 inference(unit_resolution,[status(thm)],[4464, 754])).
% 11.96/8.02 tff(4466,plain,
% 11.96/8.02 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB87) <=> (v115(constB87) | v124(constB87)))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4467,plain,
% 12.02/8.02 (v114(constB87) <=> (v115(constB87) | v124(constB87))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4466, 763])).
% 12.02/8.02 tff(4468,plain,
% 12.02/8.02 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB87) <=> (v116(constB87) | v123(constB87)))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4469,plain,
% 12.02/8.02 (v115(constB87) <=> (v116(constB87) | v123(constB87))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4468, 772])).
% 12.02/8.02 tff(4470,plain,
% 12.02/8.02 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB87) <=> (v117(constB87) | v122(constB87)))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4471,plain,
% 12.02/8.02 (v116(constB87) <=> (v117(constB87) | v122(constB87))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4470, 885])).
% 12.02/8.02 tff(4472,plain,
% 12.02/8.02 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB87) <=> (v118(constB87) | v121(constB87)))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4473,plain,
% 12.02/8.02 (v117(constB87) <=> (v118(constB87) | v121(constB87))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4472, 1000])).
% 12.02/8.02 tff(4474,plain,
% 12.02/8.02 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB87) <=> (v119(constB87) | v120(constB87)))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4475,plain,
% 12.02/8.02 (v118(constB87) <=> (v119(constB87) | v120(constB87))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4474, 1117])).
% 12.02/8.02 tff(4476,plain,
% 12.02/8.02 (((~![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))))))),
% 12.02/8.02 inference(rewrite,[status(thm)],[])).
% 12.02/8.02 tff(4477,plain,
% 12.02/8.02 ((v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))))) <=> (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))),
% 12.02/8.02 inference(rewrite,[status(thm)],[])).
% 12.02/8.02 tff(4478,plain,
% 12.02/8.02 (((~![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))))))),
% 12.02/8.02 inference(monotonicity,[status(thm)],[4477])).
% 12.02/8.02 tff(4479,plain,
% 12.02/8.02 (((~![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))))))),
% 12.02/8.02 inference(transitivity,[status(thm)],[4478, 4476])).
% 12.02/8.02 tff(4480,plain,
% 12.02/8.02 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4481,plain,
% 12.02/8.02 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))),
% 12.02/8.02 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 12.02/8.02 tff(4482,plain,
% 12.02/8.02 (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4481, 1132])).
% 12.02/8.02 tff(4483,plain,
% 12.02/8.02 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 12.02/8.02 inference(rewrite,[status(thm)],[])).
% 12.02/8.02 tff(4484,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86')).
% 12.02/8.02 tff(4485,plain,
% 12.02/8.02 (nextState(constB86, constB87)),
% 12.02/8.02 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 12.02/8.02 tff(4486,plain,
% 12.02/8.02 (((~![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))))))),
% 12.02/8.02 inference(rewrite,[status(thm)],[])).
% 12.02/8.02 tff(4487,plain,
% 12.02/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4488,plain,
% 12.02/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))),
% 12.02/8.02 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 12.02/8.02 tff(4489,plain,
% 12.02/8.02 (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))),
% 12.02/8.02 inference(unit_resolution,[status(thm)],[4488, 4485, 596])).
% 12.02/8.02 tff(4490,plain,
% 12.02/8.02 (((~![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))))))),
% 12.02/8.02 inference(rewrite,[status(thm)],[])).
% 12.02/8.02 tff(4491,plain,
% 12.02/8.02 (((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 12.02/8.02 inference(rewrite,[status(thm)],[])).
% 12.02/8.02 tff(4492,plain,
% 12.02/8.02 (((~![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)))))))),
% 12.02/8.02 inference(monotonicity,[status(thm)],[4491])).
% 12.02/8.02 tff(4493,plain,
% 12.02/8.02 (((~![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))))))),
% 12.02/8.02 inference(transitivity,[status(thm)],[4492, 4490])).
% 12.02/8.02 tff(4494,plain,
% 12.02/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))),
% 12.02/8.02 inference(quant_inst,[status(thm)],[])).
% 12.02/8.02 tff(4495,plain,
% 12.02/8.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 12.02/8.03 tff(4496,plain,
% 12.02/8.03 (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4495, 4485, 616])).
% 12.02/8.03 tff(4497,plain,
% 12.02/8.03 (((~v1(constB87)) | (~v102(constB87))) | v1(constB87)),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4498,plain,
% 12.02/8.03 ((~v1(constB87)) | (~v102(constB87))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4497, 4442])).
% 12.02/8.03 tff(4499,plain,
% 12.02/8.03 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87)) | (~((~v1(constB87)) | (~v102(constB87))))),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4500,plain,
% 12.02/8.03 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4499, 4498])).
% 12.02/8.03 tff(4501,plain,
% 12.02/8.03 (~v101(constB87)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4500, 4496])).
% 12.02/8.03 tff(4502,plain,
% 12.02/8.03 (((~v101(constB87)) | (~v110(constB87))) | v101(constB87)),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4503,plain,
% 12.02/8.03 ((~v101(constB87)) | (~v110(constB87))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4502, 4501])).
% 12.02/8.03 tff(4504,plain,
% 12.02/8.03 ((~(v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))) | (~v100(constB87)) | (~((~v101(constB87)) | (~v110(constB87))))),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4505,plain,
% 12.02/8.03 (~v100(constB87)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4504, 4503, 4489])).
% 12.02/8.03 tff(4506,plain,
% 12.02/8.03 (((~![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))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4507,plain,
% 12.02/8.03 ((~![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))))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4508,plain,
% 12.02/8.03 ((~![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)))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 12.02/8.03 tff(4509,plain,
% 12.02/8.03 (v100(constB87) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4508, 4485, 645])).
% 12.02/8.03 tff(4510,plain,
% 12.02/8.03 (![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4509, 4505])).
% 12.02/8.03 tff(4511,plain,
% 12.02/8.03 (((~![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)))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4512,plain,
% 12.02/8.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4513,plain,
% 12.02/8.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 12.02/8.03 tff(4514,plain,
% 12.02/8.03 (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4513, 579, 4510])).
% 12.02/8.03 tff(4515,plain,
% 12.02/8.03 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4516,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85')).
% 12.02/8.03 tff(4517,plain,
% 12.02/8.03 (nextState(constB85, constB86)),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 12.02/8.03 tff(4518,plain,
% 12.02/8.03 (((~![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))))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4519,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4520,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 12.02/8.03 tff(4521,plain,
% 12.02/8.03 (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4520, 4517, 596])).
% 12.02/8.03 tff(4522,plain,
% 12.02/8.03 (((~![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))))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4523,plain,
% 12.02/8.03 (((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4524,plain,
% 12.02/8.03 (((~![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)))))))),
% 12.02/8.03 inference(monotonicity,[status(thm)],[4523])).
% 12.02/8.03 tff(4525,plain,
% 12.02/8.03 (((~![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))))))),
% 12.02/8.03 inference(transitivity,[status(thm)],[4524, 4522])).
% 12.02/8.03 tff(4526,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4527,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 12.02/8.03 tff(4528,plain,
% 12.02/8.03 (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4527, 4517, 616])).
% 12.02/8.03 tff(4529,plain,
% 12.02/8.03 (((~![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)))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4530,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4531,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 12.02/8.03 tff(4532,plain,
% 12.02/8.03 ((~v102(constB86)) <=> v104(constB86)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4531, 4517, 678])).
% 12.02/8.03 tff(4533,plain,
% 12.02/8.03 (((~![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)))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4534,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4535,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 12.02/8.03 tff(4536,plain,
% 12.02/8.03 (v104(constB86) <=> v1(constB85)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4535, 4517, 692])).
% 12.02/8.03 tff(4537,plain,
% 12.02/8.03 ((~v1(constB85)) <=> (~v1(constB85))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4538,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85')).
% 12.02/8.03 tff(4539,plain,
% 12.02/8.03 (~v1(constB85)),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4538, 4537])).
% 12.02/8.03 tff(4540,plain,
% 12.02/8.03 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86)) | v1(constB85)),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4541,plain,
% 12.02/8.03 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4540, 4539])).
% 12.02/8.03 tff(4542,plain,
% 12.02/8.03 (~v104(constB86)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4541, 4536])).
% 12.02/8.03 tff(4543,plain,
% 12.02/8.03 ((~((~v102(constB86)) <=> v104(constB86))) | v102(constB86) | v104(constB86)),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4544,plain,
% 12.02/8.03 (v102(constB86)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4543, 4542, 4532])).
% 12.02/8.03 tff(4545,plain,
% 12.02/8.03 (v1(constB86) <=> v1(constB86)),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4546,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86')).
% 12.02/8.03 tff(4547,plain,
% 12.02/8.03 (v1(constB86)),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 12.02/8.03 tff(4548,plain,
% 12.02/8.03 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v1(constB86)) | (~v102(constB86))),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4549,plain,
% 12.02/8.03 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v102(constB86))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4548, 4547])).
% 12.02/8.03 tff(4550,plain,
% 12.02/8.03 (~((~v1(constB86)) | (~v102(constB86)))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4549, 4544])).
% 12.02/8.03 tff(4551,plain,
% 12.02/8.03 ((~(v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))) | v101(constB86) | ((~v1(constB86)) | (~v102(constB86)))),
% 12.02/8.03 inference(tautology,[status(thm)],[])).
% 12.02/8.03 tff(4552,plain,
% 12.02/8.03 (v101(constB86)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4551, 4550, 4528])).
% 12.02/8.03 tff(4553,plain,
% 12.02/8.03 (((~![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)))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4554,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4555,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 12.02/8.03 tff(4556,plain,
% 12.02/8.03 (v110(constB86) <=> v108(constB85)),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4555, 4517, 722])).
% 12.02/8.03 tff(4557,plain,
% 12.02/8.03 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB85) <=> (v111(constB85) | v112(constB85)))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4558,plain,
% 12.02/8.03 (v108(constB85) <=> (v111(constB85) | v112(constB85))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4557, 733])).
% 12.02/8.03 tff(4559,plain,
% 12.02/8.03 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4560,plain,
% 12.02/8.03 (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85))))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4559, 745])).
% 12.02/8.03 tff(4561,plain,
% 12.02/8.03 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB85) <=> (v114(constB85) | v125(constB85)))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4562,plain,
% 12.02/8.03 (v113(constB85) <=> (v114(constB85) | v125(constB85))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4561, 754])).
% 12.02/8.03 tff(4563,plain,
% 12.02/8.03 (((~![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)))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4564,plain,
% 12.02/8.03 ((v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))))) <=> (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4565,plain,
% 12.02/8.03 (((~![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)))))),
% 12.02/8.03 inference(monotonicity,[status(thm)],[4564])).
% 12.02/8.03 tff(4566,plain,
% 12.02/8.03 (((~![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)))))),
% 12.02/8.03 inference(transitivity,[status(thm)],[4565, 4563])).
% 12.02/8.03 tff(4567,plain,
% 12.02/8.03 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4568,plain,
% 12.02/8.03 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 12.02/8.03 tff(4569,plain,
% 12.02/8.03 (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4568, 3458])).
% 12.02/8.03 tff(4570,plain,
% 12.02/8.03 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4571,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84')).
% 12.02/8.03 tff(4572,plain,
% 12.02/8.03 (nextState(constB84, constB85)),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 12.02/8.03 tff(4573,plain,
% 12.02/8.03 (((~![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))))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4574,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 12.02/8.03 inference(quant_inst,[status(thm)],[])).
% 12.02/8.03 tff(4575,plain,
% 12.02/8.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))),
% 12.02/8.03 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 12.02/8.03 tff(4576,plain,
% 12.02/8.03 (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))),
% 12.02/8.03 inference(unit_resolution,[status(thm)],[4575, 4572, 596])).
% 12.02/8.03 tff(4577,plain,
% 12.02/8.03 (((~![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))))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4578,plain,
% 12.02/8.03 (((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 12.02/8.03 inference(rewrite,[status(thm)],[])).
% 12.02/8.03 tff(4579,plain,
% 12.02/8.03 (((~![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)))))))),
% 12.02/8.03 inference(monotonicity,[status(thm)],[4578])).
% 12.02/8.03 tff(4580,plain,
% 12.02/8.03 (((~![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))))))),
% 12.02/8.04 inference(transitivity,[status(thm)],[4579, 4577])).
% 12.02/8.04 tff(4581,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4582,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 12.02/8.04 tff(4583,plain,
% 12.02/8.04 (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4582, 4572, 616])).
% 12.02/8.04 tff(4584,plain,
% 12.02/8.04 (((~v1(constB85)) | (~v102(constB85))) | v1(constB85)),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4585,plain,
% 12.02/8.04 ((~v1(constB85)) | (~v102(constB85))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4584, 4539])).
% 12.02/8.04 tff(4586,plain,
% 12.02/8.04 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85)) | (~((~v1(constB85)) | (~v102(constB85))))),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4587,plain,
% 12.02/8.04 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4586, 4585])).
% 12.02/8.04 tff(4588,plain,
% 12.02/8.04 (~v101(constB85)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4587, 4583])).
% 12.02/8.04 tff(4589,plain,
% 12.02/8.04 (((~v101(constB85)) | (~v110(constB85))) | v101(constB85)),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4590,plain,
% 12.02/8.04 ((~v101(constB85)) | (~v110(constB85))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4589, 4588])).
% 12.02/8.04 tff(4591,plain,
% 12.02/8.04 ((~(v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))) | (~v100(constB85)) | (~((~v101(constB85)) | (~v110(constB85))))),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4592,plain,
% 12.02/8.04 (~v100(constB85)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4591, 4590, 4576])).
% 12.02/8.04 tff(4593,plain,
% 12.02/8.04 (((~![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))))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4594,plain,
% 12.02/8.04 ((~![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))))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4595,plain,
% 12.02/8.04 ((~![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)))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 12.02/8.04 tff(4596,plain,
% 12.02/8.04 (v100(constB85) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4595, 4572, 645])).
% 12.02/8.04 tff(4597,plain,
% 12.02/8.04 (![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4596, 4592])).
% 12.02/8.04 tff(4598,plain,
% 12.02/8.04 (((~![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)))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4599,plain,
% 12.02/8.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4600,plain,
% 12.02/8.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 12.02/8.04 tff(4601,plain,
% 12.02/8.04 (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4600, 579, 4597])).
% 12.02/8.04 tff(4602,plain,
% 12.02/8.04 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4603,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83')).
% 12.02/8.04 tff(4604,plain,
% 12.02/8.04 (nextState(constB83, constB84)),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 12.02/8.04 tff(4605,plain,
% 12.02/8.04 (((~![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))))))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4606,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4607,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 12.02/8.04 tff(4608,plain,
% 12.02/8.04 (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4607, 4604, 596])).
% 12.02/8.04 tff(4609,plain,
% 12.02/8.04 (((~![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))))))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4610,plain,
% 12.02/8.04 (((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4611,plain,
% 12.02/8.04 (((~![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)))))))),
% 12.02/8.04 inference(monotonicity,[status(thm)],[4610])).
% 12.02/8.04 tff(4612,plain,
% 12.02/8.04 (((~![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))))))),
% 12.02/8.04 inference(transitivity,[status(thm)],[4611, 4609])).
% 12.02/8.04 tff(4613,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4614,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 12.02/8.04 tff(4615,plain,
% 12.02/8.04 (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4614, 4604, 616])).
% 12.02/8.04 tff(4616,plain,
% 12.02/8.04 (((~![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)))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4617,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4618,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4617, 4616])).
% 12.02/8.04 tff(4619,plain,
% 12.02/8.04 ((~v102(constB84)) <=> v104(constB84)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4618, 4604, 678])).
% 12.02/8.04 tff(4620,plain,
% 12.02/8.04 (((~![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)))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4621,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4622,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 12.02/8.04 tff(4623,plain,
% 12.02/8.04 (v104(constB84) <=> v1(constB83)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4622, 4604, 692])).
% 12.02/8.04 tff(4624,plain,
% 12.02/8.04 ((~v1(constB83)) <=> (~v1(constB83))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4625,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83')).
% 12.02/8.04 tff(4626,plain,
% 12.02/8.04 (~v1(constB83)),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 12.02/8.04 tff(4627,plain,
% 12.02/8.04 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84)) | v1(constB83)),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4628,plain,
% 12.02/8.04 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4627, 4626])).
% 12.02/8.04 tff(4629,plain,
% 12.02/8.04 (~v104(constB84)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4628, 4623])).
% 12.02/8.04 tff(4630,plain,
% 12.02/8.04 ((~((~v102(constB84)) <=> v104(constB84))) | v102(constB84) | v104(constB84)),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4631,plain,
% 12.02/8.04 (v102(constB84)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4630, 4629, 4619])).
% 12.02/8.04 tff(4632,plain,
% 12.02/8.04 (v1(constB84) <=> v1(constB84)),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4633,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84')).
% 12.02/8.04 tff(4634,plain,
% 12.02/8.04 (v1(constB84)),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4633, 4632])).
% 12.02/8.04 tff(4635,plain,
% 12.02/8.04 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v1(constB84)) | (~v102(constB84))),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4636,plain,
% 12.02/8.04 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v102(constB84))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4635, 4634])).
% 12.02/8.04 tff(4637,plain,
% 12.02/8.04 (~((~v1(constB84)) | (~v102(constB84)))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4636, 4631])).
% 12.02/8.04 tff(4638,plain,
% 12.02/8.04 ((~(v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))) | v101(constB84) | ((~v1(constB84)) | (~v102(constB84)))),
% 12.02/8.04 inference(tautology,[status(thm)],[])).
% 12.02/8.04 tff(4639,plain,
% 12.02/8.04 (v101(constB84)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4638, 4637, 4615])).
% 12.02/8.04 tff(4640,plain,
% 12.02/8.04 (((~![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)))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.04 tff(4641,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4642,plain,
% 12.02/8.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83))),
% 12.02/8.04 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 12.02/8.04 tff(4643,plain,
% 12.02/8.04 (v110(constB84) <=> v108(constB83)),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4642, 4604, 722])).
% 12.02/8.04 tff(4644,plain,
% 12.02/8.04 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB83) <=> (v111(constB83) | v112(constB83)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4645,plain,
% 12.02/8.04 (v108(constB83) <=> (v111(constB83) | v112(constB83))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4644, 733])).
% 12.02/8.04 tff(4646,plain,
% 12.02/8.04 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4647,plain,
% 12.02/8.04 (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83))))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4646, 745])).
% 12.02/8.04 tff(4648,plain,
% 12.02/8.04 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB83) <=> (v114(constB83) | v125(constB83)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4649,plain,
% 12.02/8.04 (v113(constB83) <=> (v114(constB83) | v125(constB83))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4648, 754])).
% 12.02/8.04 tff(4650,plain,
% 12.02/8.04 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB83) <=> (v115(constB83) | v124(constB83)))),
% 12.02/8.04 inference(quant_inst,[status(thm)],[])).
% 12.02/8.04 tff(4651,plain,
% 12.02/8.04 (v114(constB83) <=> (v115(constB83) | v124(constB83))),
% 12.02/8.04 inference(unit_resolution,[status(thm)],[4650, 763])).
% 12.02/8.04 tff(4652,plain,
% 12.02/8.04 (((~![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))))))),
% 12.02/8.04 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4653,plain,
% 12.02/8.05 ((v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2))))) <=> (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4654,plain,
% 12.02/8.05 (((~![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))))))),
% 12.02/8.05 inference(monotonicity,[status(thm)],[4653])).
% 12.02/8.05 tff(4655,plain,
% 12.02/8.05 (((~![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))))))),
% 12.02/8.05 inference(transitivity,[status(thm)],[4654, 4652])).
% 12.02/8.05 tff(4656,plain,
% 12.02/8.05 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))),
% 12.02/8.05 inference(quant_inst,[status(thm)],[])).
% 12.02/8.05 tff(4657,plain,
% 12.02/8.05 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 12.02/8.05 tff(4658,plain,
% 12.02/8.05 (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4657, 2651])).
% 12.02/8.05 tff(4659,plain,
% 12.02/8.05 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4660,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82')).
% 12.02/8.05 tff(4661,plain,
% 12.02/8.05 (nextState(constB82, constB83)),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 12.02/8.05 tff(4662,plain,
% 12.02/8.05 (((~![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))))))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4663,plain,
% 12.02/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 12.02/8.05 inference(quant_inst,[status(thm)],[])).
% 12.02/8.05 tff(4664,plain,
% 12.02/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 12.02/8.05 tff(4665,plain,
% 12.02/8.05 (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4664, 4661, 596])).
% 12.02/8.05 tff(4666,plain,
% 12.02/8.05 (((~![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))))))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4667,plain,
% 12.02/8.05 (((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4668,plain,
% 12.02/8.05 (((~![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)))))))),
% 12.02/8.05 inference(monotonicity,[status(thm)],[4667])).
% 12.02/8.05 tff(4669,plain,
% 12.02/8.05 (((~![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))))))),
% 12.02/8.05 inference(transitivity,[status(thm)],[4668, 4666])).
% 12.02/8.05 tff(4670,plain,
% 12.02/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))),
% 12.02/8.05 inference(quant_inst,[status(thm)],[])).
% 12.02/8.05 tff(4671,plain,
% 12.02/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 12.02/8.05 tff(4672,plain,
% 12.02/8.05 (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4671, 4661, 616])).
% 12.02/8.05 tff(4673,plain,
% 12.02/8.05 (((~v1(constB83)) | (~v102(constB83))) | v1(constB83)),
% 12.02/8.05 inference(tautology,[status(thm)],[])).
% 12.02/8.05 tff(4674,plain,
% 12.02/8.05 ((~v1(constB83)) | (~v102(constB83))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4673, 4626])).
% 12.02/8.05 tff(4675,plain,
% 12.02/8.05 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83)) | (~((~v1(constB83)) | (~v102(constB83))))),
% 12.02/8.05 inference(tautology,[status(thm)],[])).
% 12.02/8.05 tff(4676,plain,
% 12.02/8.05 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4675, 4674])).
% 12.02/8.05 tff(4677,plain,
% 12.02/8.05 (~v101(constB83)),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4676, 4672])).
% 12.02/8.05 tff(4678,plain,
% 12.02/8.05 (((~v101(constB83)) | (~v110(constB83))) | v101(constB83)),
% 12.02/8.05 inference(tautology,[status(thm)],[])).
% 12.02/8.05 tff(4679,plain,
% 12.02/8.05 ((~v101(constB83)) | (~v110(constB83))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4678, 4677])).
% 12.02/8.05 tff(4680,plain,
% 12.02/8.05 ((~(v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))) | (~v100(constB83)) | (~((~v101(constB83)) | (~v110(constB83))))),
% 12.02/8.05 inference(tautology,[status(thm)],[])).
% 12.02/8.05 tff(4681,plain,
% 12.02/8.05 (~v100(constB83)),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4680, 4679, 4665])).
% 12.02/8.05 tff(4682,plain,
% 12.02/8.05 (((~![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))))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4683,plain,
% 12.02/8.05 ((~![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))))),
% 12.02/8.05 inference(quant_inst,[status(thm)],[])).
% 12.02/8.05 tff(4684,plain,
% 12.02/8.05 ((~![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)))),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 12.02/8.05 tff(4685,plain,
% 12.02/8.05 (v100(constB83) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4684, 4661, 645])).
% 12.02/8.05 tff(4686,plain,
% 12.02/8.05 (![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4685, 4681])).
% 12.02/8.05 tff(4687,plain,
% 12.02/8.05 (((~![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)))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4688,plain,
% 12.02/8.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))),
% 12.02/8.05 inference(quant_inst,[status(thm)],[])).
% 12.02/8.05 tff(4689,plain,
% 12.02/8.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2))),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 12.02/8.05 tff(4690,plain,
% 12.02/8.05 (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4689, 579, 4686])).
% 12.02/8.05 tff(4691,plain,
% 12.02/8.05 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4692,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81')).
% 12.02/8.05 tff(4693,plain,
% 12.02/8.05 (nextState(constB81, constB82)),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 12.02/8.05 tff(4694,plain,
% 12.02/8.05 (((~![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))))))),
% 12.02/8.05 inference(rewrite,[status(thm)],[])).
% 12.02/8.05 tff(4695,plain,
% 12.02/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 12.02/8.05 inference(quant_inst,[status(thm)],[])).
% 12.02/8.05 tff(4696,plain,
% 12.02/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))),
% 12.02/8.05 inference(modus_ponens,[status(thm)],[4695, 4694])).
% 12.02/8.05 tff(4697,plain,
% 12.02/8.05 (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))),
% 12.02/8.05 inference(unit_resolution,[status(thm)],[4696, 4693, 596])).
% 12.02/8.05 tff(4698,plain,
% 12.02/8.05 (((~![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))))))),
% 12.05/8.05 inference(rewrite,[status(thm)],[])).
% 12.05/8.05 tff(4699,plain,
% 12.05/8.05 (((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 12.05/8.05 inference(rewrite,[status(thm)],[])).
% 12.05/8.05 tff(4700,plain,
% 12.05/8.05 (((~![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)))))))),
% 12.05/8.05 inference(monotonicity,[status(thm)],[4699])).
% 12.05/8.05 tff(4701,plain,
% 12.05/8.05 (((~![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))))))),
% 12.05/8.05 inference(transitivity,[status(thm)],[4700, 4698])).
% 12.05/8.05 tff(4702,plain,
% 12.05/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))),
% 12.05/8.05 inference(quant_inst,[status(thm)],[])).
% 12.05/8.05 tff(4703,plain,
% 12.05/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))),
% 12.05/8.05 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 12.05/8.05 tff(4704,plain,
% 12.05/8.05 (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))),
% 12.05/8.05 inference(unit_resolution,[status(thm)],[4703, 4693, 616])).
% 12.05/8.05 tff(4705,plain,
% 12.05/8.05 (((~![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)))),
% 12.05/8.05 inference(rewrite,[status(thm)],[])).
% 12.05/8.05 tff(4706,plain,
% 12.05/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 12.05/8.05 inference(quant_inst,[status(thm)],[])).
% 12.05/8.05 tff(4707,plain,
% 12.05/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82))),
% 12.05/8.05 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 12.05/8.05 tff(4708,plain,
% 12.05/8.05 ((~v102(constB82)) <=> v104(constB82)),
% 12.05/8.05 inference(unit_resolution,[status(thm)],[4707, 4693, 678])).
% 12.05/8.05 tff(4709,plain,
% 12.05/8.05 (((~![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)))),
% 12.05/8.05 inference(rewrite,[status(thm)],[])).
% 12.05/8.05 tff(4710,plain,
% 12.05/8.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 12.05/8.05 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4711,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4710, 4709])).
% 12.05/8.06 tff(4712,plain,
% 12.05/8.06 (v104(constB82) <=> v1(constB81)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4711, 4693, 692])).
% 12.05/8.06 tff(4713,plain,
% 12.05/8.06 ((~v1(constB81)) <=> (~v1(constB81))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4714,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81')).
% 12.05/8.06 tff(4715,plain,
% 12.05/8.06 (~v1(constB81)),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 12.05/8.06 tff(4716,plain,
% 12.05/8.06 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82)) | v1(constB81)),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4717,plain,
% 12.05/8.06 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4716, 4715])).
% 12.05/8.06 tff(4718,plain,
% 12.05/8.06 (~v104(constB82)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4717, 4712])).
% 12.05/8.06 tff(4719,plain,
% 12.05/8.06 ((~((~v102(constB82)) <=> v104(constB82))) | v102(constB82) | v104(constB82)),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4720,plain,
% 12.05/8.06 (v102(constB82)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4719, 4718, 4708])).
% 12.05/8.06 tff(4721,plain,
% 12.05/8.06 (v1(constB82) <=> v1(constB82)),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4722,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82')).
% 12.05/8.06 tff(4723,plain,
% 12.05/8.06 (v1(constB82)),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4722, 4721])).
% 12.05/8.06 tff(4724,plain,
% 12.05/8.06 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v1(constB82)) | (~v102(constB82))),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4725,plain,
% 12.05/8.06 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v102(constB82))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4724, 4723])).
% 12.05/8.06 tff(4726,plain,
% 12.05/8.06 (~((~v1(constB82)) | (~v102(constB82)))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4725, 4720])).
% 12.05/8.06 tff(4727,plain,
% 12.05/8.06 ((~(v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))) | v101(constB82) | ((~v1(constB82)) | (~v102(constB82)))),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4728,plain,
% 12.05/8.06 (v101(constB82)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4727, 4726, 4704])).
% 12.05/8.06 tff(4729,plain,
% 12.05/8.06 (((~![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)))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4730,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4731,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 12.05/8.06 tff(4732,plain,
% 12.05/8.06 (v110(constB82) <=> v108(constB81)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4731, 4693, 722])).
% 12.05/8.06 tff(4733,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB81) <=> (v111(constB81) | v112(constB81)))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4734,plain,
% 12.05/8.06 (v108(constB81) <=> (v111(constB81) | v112(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4733, 733])).
% 12.05/8.06 tff(4735,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4736,plain,
% 12.05/8.06 (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81))))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4735, 745])).
% 12.05/8.06 tff(4737,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB81) <=> (v114(constB81) | v125(constB81)))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4738,plain,
% 12.05/8.06 (v113(constB81) <=> (v114(constB81) | v125(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4737, 754])).
% 12.05/8.06 tff(4739,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB81) <=> (v115(constB81) | v124(constB81)))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4740,plain,
% 12.05/8.06 (v114(constB81) <=> (v115(constB81) | v124(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4739, 763])).
% 12.05/8.06 tff(4741,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB81) <=> (v116(constB81) | v123(constB81)))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4742,plain,
% 12.05/8.06 (v115(constB81) <=> (v116(constB81) | v123(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4741, 772])).
% 12.05/8.06 tff(4743,plain,
% 12.05/8.06 (((~![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)))))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4744,plain,
% 12.05/8.06 ((v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2))))) <=> (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4745,plain,
% 12.05/8.06 (((~![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)))))),
% 12.05/8.06 inference(monotonicity,[status(thm)],[4744])).
% 12.05/8.06 tff(4746,plain,
% 12.05/8.06 (((~![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)))))),
% 12.05/8.06 inference(transitivity,[status(thm)],[4745, 4743])).
% 12.05/8.06 tff(4747,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4748,plain,
% 12.05/8.06 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 12.05/8.06 tff(4749,plain,
% 12.05/8.06 (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4748, 787])).
% 12.05/8.06 tff(4750,plain,
% 12.05/8.06 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4751,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80')).
% 12.05/8.06 tff(4752,plain,
% 12.05/8.06 (nextState(constB80, constB81)),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 12.05/8.06 tff(4753,plain,
% 12.05/8.06 (((~![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))))))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4754,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4755,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 12.05/8.06 tff(4756,plain,
% 12.05/8.06 (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4755, 4752, 596])).
% 12.05/8.06 tff(4757,plain,
% 12.05/8.06 (((~![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))))))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4758,plain,
% 12.05/8.06 (((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4759,plain,
% 12.05/8.06 (((~![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)))))))),
% 12.05/8.06 inference(monotonicity,[status(thm)],[4758])).
% 12.05/8.06 tff(4760,plain,
% 12.05/8.06 (((~![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))))))),
% 12.05/8.06 inference(transitivity,[status(thm)],[4759, 4757])).
% 12.05/8.06 tff(4761,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4762,plain,
% 12.05/8.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 12.05/8.06 tff(4763,plain,
% 12.05/8.06 (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4762, 4752, 616])).
% 12.05/8.06 tff(4764,plain,
% 12.05/8.06 (((~v1(constB81)) | (~v102(constB81))) | v1(constB81)),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4765,plain,
% 12.05/8.06 ((~v1(constB81)) | (~v102(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4764, 4715])).
% 12.05/8.06 tff(4766,plain,
% 12.05/8.06 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81)) | (~((~v1(constB81)) | (~v102(constB81))))),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4767,plain,
% 12.05/8.06 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4766, 4765])).
% 12.05/8.06 tff(4768,plain,
% 12.05/8.06 (~v101(constB81)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4767, 4763])).
% 12.05/8.06 tff(4769,plain,
% 12.05/8.06 (((~v101(constB81)) | (~v110(constB81))) | v101(constB81)),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4770,plain,
% 12.05/8.06 ((~v101(constB81)) | (~v110(constB81))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4769, 4768])).
% 12.05/8.06 tff(4771,plain,
% 12.05/8.06 ((~(v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))) | (~v100(constB81)) | (~((~v101(constB81)) | (~v110(constB81))))),
% 12.05/8.06 inference(tautology,[status(thm)],[])).
% 12.05/8.06 tff(4772,plain,
% 12.05/8.06 (~v100(constB81)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4771, 4770, 4756])).
% 12.05/8.06 tff(4773,plain,
% 12.05/8.06 (((~![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))))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4774,plain,
% 12.05/8.06 ((~![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))))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4775,plain,
% 12.05/8.06 ((~![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)))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 12.05/8.06 tff(4776,plain,
% 12.05/8.06 (v100(constB81) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4775, 4752, 645])).
% 12.05/8.06 tff(4777,plain,
% 12.05/8.06 (![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4776, 4772])).
% 12.05/8.06 tff(4778,plain,
% 12.05/8.06 (((~![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)))),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4779,plain,
% 12.05/8.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))),
% 12.05/8.06 inference(quant_inst,[status(thm)],[])).
% 12.05/8.06 tff(4780,plain,
% 12.05/8.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2))),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 12.05/8.06 tff(4781,plain,
% 12.05/8.06 (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)),
% 12.05/8.06 inference(unit_resolution,[status(thm)],[4780, 579, 4777])).
% 12.05/8.06 tff(4782,plain,
% 12.05/8.06 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 12.05/8.06 inference(rewrite,[status(thm)],[])).
% 12.05/8.06 tff(4783,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79')).
% 12.05/8.06 tff(4784,plain,
% 12.05/8.06 (nextState(constB79, constB80)),
% 12.05/8.06 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 12.05/8.06 tff(4785,plain,
% 12.05/8.06 (((~![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))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4786,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4787,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 12.05/8.07 tff(4788,plain,
% 12.05/8.07 (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4787, 4784, 596])).
% 12.05/8.07 tff(4789,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4790,plain,
% 12.05/8.07 (((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4791,plain,
% 12.05/8.07 (((~![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)))))))),
% 12.05/8.07 inference(monotonicity,[status(thm)],[4790])).
% 12.05/8.07 tff(4792,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(transitivity,[status(thm)],[4791, 4789])).
% 12.05/8.07 tff(4793,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4794,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 12.05/8.07 tff(4795,plain,
% 12.05/8.07 (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4794, 4784, 616])).
% 12.05/8.07 tff(4796,plain,
% 12.05/8.07 (((~![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)))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4797,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4798,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 12.05/8.07 tff(4799,plain,
% 12.05/8.07 ((~v102(constB80)) <=> v104(constB80)),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4798, 4784, 678])).
% 12.05/8.07 tff(4800,plain,
% 12.05/8.07 (((~![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)))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4801,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4802,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 12.05/8.07 tff(4803,plain,
% 12.05/8.07 (v104(constB80) <=> v1(constB79)),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4802, 4784, 692])).
% 12.05/8.07 tff(4804,plain,
% 12.05/8.07 ((~v1(constB79)) <=> (~v1(constB79))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4805,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79')).
% 12.05/8.07 tff(4806,plain,
% 12.05/8.07 (~v1(constB79)),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 12.05/8.07 tff(4807,plain,
% 12.05/8.07 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 12.05/8.07 inference(tautology,[status(thm)],[])).
% 12.05/8.07 tff(4808,plain,
% 12.05/8.07 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4807, 4806])).
% 12.05/8.07 tff(4809,plain,
% 12.05/8.07 (~v104(constB80)),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4808, 4803])).
% 12.05/8.07 tff(4810,plain,
% 12.05/8.07 ((~((~v102(constB80)) <=> v104(constB80))) | v102(constB80) | v104(constB80)),
% 12.05/8.07 inference(tautology,[status(thm)],[])).
% 12.05/8.07 tff(4811,plain,
% 12.05/8.07 (v102(constB80)),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4810, 4809, 4799])).
% 12.05/8.07 tff(4812,plain,
% 12.05/8.07 (v1(constB80) <=> v1(constB80)),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4813,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80')).
% 12.05/8.07 tff(4814,plain,
% 12.05/8.07 (v1(constB80)),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 12.05/8.07 tff(4815,plain,
% 12.05/8.07 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v1(constB80)) | (~v102(constB80))),
% 12.05/8.07 inference(tautology,[status(thm)],[])).
% 12.05/8.07 tff(4816,plain,
% 12.05/8.07 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v102(constB80))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4815, 4814])).
% 12.05/8.07 tff(4817,plain,
% 12.05/8.07 (~((~v1(constB80)) | (~v102(constB80)))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4816, 4811])).
% 12.05/8.07 tff(4818,plain,
% 12.05/8.07 ((~(v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))) | v101(constB80) | ((~v1(constB80)) | (~v102(constB80)))),
% 12.05/8.07 inference(tautology,[status(thm)],[])).
% 12.05/8.07 tff(4819,plain,
% 12.05/8.07 (v101(constB80)),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4818, 4817, 4795])).
% 12.05/8.07 tff(4820,plain,
% 12.05/8.07 (((~![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)))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4821,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4822,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 12.05/8.07 tff(4823,plain,
% 12.05/8.07 (v110(constB80) <=> v108(constB79)),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4822, 4784, 722])).
% 12.05/8.07 tff(4824,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB79) <=> (v111(constB79) | v112(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4825,plain,
% 12.05/8.07 (v108(constB79) <=> (v111(constB79) | v112(constB79))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4824, 733])).
% 12.05/8.07 tff(4826,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4827,plain,
% 12.05/8.07 (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79))))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4826, 745])).
% 12.05/8.07 tff(4828,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB79) <=> (v114(constB79) | v125(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4829,plain,
% 12.05/8.07 (v113(constB79) <=> (v114(constB79) | v125(constB79))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4828, 754])).
% 12.05/8.07 tff(4830,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB79) <=> (v115(constB79) | v124(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4831,plain,
% 12.05/8.07 (v114(constB79) <=> (v115(constB79) | v124(constB79))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4830, 763])).
% 12.05/8.07 tff(4832,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB79) <=> (v116(constB79) | v123(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4833,plain,
% 12.05/8.07 (v115(constB79) <=> (v116(constB79) | v123(constB79))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4832, 772])).
% 12.05/8.07 tff(4834,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB79) <=> (v117(constB79) | v122(constB79)))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4835,plain,
% 12.05/8.07 (v116(constB79) <=> (v117(constB79) | v122(constB79))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4834, 885])).
% 12.05/8.07 tff(4836,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4837,plain,
% 12.05/8.07 ((v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1))))) <=> (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4838,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(monotonicity,[status(thm)],[4837])).
% 12.05/8.07 tff(4839,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(transitivity,[status(thm)],[4838, 4836])).
% 12.05/8.07 tff(4840,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4841,plain,
% 12.05/8.07 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 12.05/8.07 tff(4842,plain,
% 12.05/8.07 (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4841, 900])).
% 12.05/8.07 tff(4843,plain,
% 12.05/8.07 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4844,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78')).
% 12.05/8.07 tff(4845,plain,
% 12.05/8.07 (nextState(constB78, constB79)),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4844, 4843])).
% 12.05/8.07 tff(4846,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4847,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 12.05/8.07 inference(quant_inst,[status(thm)],[])).
% 12.05/8.07 tff(4848,plain,
% 12.05/8.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 12.05/8.07 inference(modus_ponens,[status(thm)],[4847, 4846])).
% 12.05/8.07 tff(4849,plain,
% 12.05/8.07 (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 12.05/8.07 inference(unit_resolution,[status(thm)],[4848, 4845, 596])).
% 12.05/8.07 tff(4850,plain,
% 12.05/8.07 (((~![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))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4851,plain,
% 12.05/8.07 (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 12.05/8.07 inference(rewrite,[status(thm)],[])).
% 12.05/8.07 tff(4852,plain,
% 12.05/8.07 (((~![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)))))))),
% 12.05/8.08 inference(monotonicity,[status(thm)],[4851])).
% 12.05/8.08 tff(4853,plain,
% 12.05/8.08 (((~![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))))))),
% 12.05/8.08 inference(transitivity,[status(thm)],[4852, 4850])).
% 12.05/8.08 tff(4854,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4855,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4854, 4853])).
% 12.05/8.08 tff(4856,plain,
% 12.05/8.08 (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4855, 4845, 616])).
% 12.05/8.08 tff(4857,plain,
% 12.05/8.08 (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4858,plain,
% 12.05/8.08 ((~v1(constB79)) | (~v102(constB79))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4857, 4806])).
% 12.05/8.08 tff(4859,plain,
% 12.05/8.08 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4860,plain,
% 12.05/8.08 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4859, 4858])).
% 12.05/8.08 tff(4861,plain,
% 12.05/8.08 (~v101(constB79)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4860, 4856])).
% 12.05/8.08 tff(4862,plain,
% 12.05/8.08 (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4863,plain,
% 12.05/8.08 ((~v101(constB79)) | (~v110(constB79))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4862, 4861])).
% 12.05/8.08 tff(4864,plain,
% 12.05/8.08 ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4865,plain,
% 12.05/8.08 (~v100(constB79)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4864, 4863, 4849])).
% 12.05/8.08 tff(4866,plain,
% 12.05/8.08 (((~![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))))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4867,plain,
% 12.05/8.08 ((~![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))))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4868,plain,
% 12.05/8.08 ((~![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)))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 12.05/8.08 tff(4869,plain,
% 12.05/8.08 (v100(constB79) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4868, 4845, 645])).
% 12.05/8.08 tff(4870,plain,
% 12.05/8.08 (![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4869, 4865])).
% 12.05/8.08 tff(4871,plain,
% 12.05/8.08 (((~![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)))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4872,plain,
% 12.05/8.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4873,plain,
% 12.05/8.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 12.05/8.08 tff(4874,plain,
% 12.05/8.08 (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4873, 579, 4870])).
% 12.05/8.08 tff(4875,plain,
% 12.05/8.08 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4876,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77')).
% 12.05/8.08 tff(4877,plain,
% 12.05/8.08 (nextState(constB77, constB78)),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 12.05/8.08 tff(4878,plain,
% 12.05/8.08 (((~![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))))))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4879,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4880,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 12.05/8.08 tff(4881,plain,
% 12.05/8.08 (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4880, 4877, 596])).
% 12.05/8.08 tff(4882,plain,
% 12.05/8.08 (((~![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))))))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4883,plain,
% 12.05/8.08 (((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4884,plain,
% 12.05/8.08 (((~![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)))))))),
% 12.05/8.08 inference(monotonicity,[status(thm)],[4883])).
% 12.05/8.08 tff(4885,plain,
% 12.05/8.08 (((~![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))))))),
% 12.05/8.08 inference(transitivity,[status(thm)],[4884, 4882])).
% 12.05/8.08 tff(4886,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4887,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 12.05/8.08 tff(4888,plain,
% 12.05/8.08 (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4887, 4877, 616])).
% 12.05/8.08 tff(4889,plain,
% 12.05/8.08 (((~![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)))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4890,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4891,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 12.05/8.08 tff(4892,plain,
% 12.05/8.08 ((~v102(constB78)) <=> v104(constB78)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4891, 4877, 678])).
% 12.05/8.08 tff(4893,plain,
% 12.05/8.08 (((~![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)))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4894,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4895,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4894, 4893])).
% 12.05/8.08 tff(4896,plain,
% 12.05/8.08 (v104(constB78) <=> v1(constB77)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4895, 4877, 692])).
% 12.05/8.08 tff(4897,plain,
% 12.05/8.08 ((~v1(constB77)) <=> (~v1(constB77))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4898,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77')).
% 12.05/8.08 tff(4899,plain,
% 12.05/8.08 (~v1(constB77)),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 12.05/8.08 tff(4900,plain,
% 12.05/8.08 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78)) | v1(constB77)),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4901,plain,
% 12.05/8.08 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4900, 4899])).
% 12.05/8.08 tff(4902,plain,
% 12.05/8.08 (~v104(constB78)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4901, 4896])).
% 12.05/8.08 tff(4903,plain,
% 12.05/8.08 ((~((~v102(constB78)) <=> v104(constB78))) | v102(constB78) | v104(constB78)),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4904,plain,
% 12.05/8.08 (v102(constB78)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4903, 4902, 4892])).
% 12.05/8.08 tff(4905,plain,
% 12.05/8.08 (v1(constB78) <=> v1(constB78)),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4906,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78')).
% 12.05/8.08 tff(4907,plain,
% 12.05/8.08 (v1(constB78)),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 12.05/8.08 tff(4908,plain,
% 12.05/8.08 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v1(constB78)) | (~v102(constB78))),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4909,plain,
% 12.05/8.08 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v102(constB78))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4908, 4907])).
% 12.05/8.08 tff(4910,plain,
% 12.05/8.08 (~((~v1(constB78)) | (~v102(constB78)))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4909, 4904])).
% 12.05/8.08 tff(4911,plain,
% 12.05/8.08 ((~(v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))) | v101(constB78) | ((~v1(constB78)) | (~v102(constB78)))),
% 12.05/8.08 inference(tautology,[status(thm)],[])).
% 12.05/8.08 tff(4912,plain,
% 12.05/8.08 (v101(constB78)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4911, 4910, 4888])).
% 12.05/8.08 tff(4913,plain,
% 12.05/8.08 (((~![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)))),
% 12.05/8.08 inference(rewrite,[status(thm)],[])).
% 12.05/8.08 tff(4914,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4915,plain,
% 12.05/8.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77))),
% 12.05/8.08 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 12.05/8.08 tff(4916,plain,
% 12.05/8.08 (v110(constB78) <=> v108(constB77)),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4915, 4877, 722])).
% 12.05/8.08 tff(4917,plain,
% 12.05/8.08 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB77) <=> (v111(constB77) | v112(constB77)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4918,plain,
% 12.05/8.08 (v108(constB77) <=> (v111(constB77) | v112(constB77))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4917, 733])).
% 12.05/8.08 tff(4919,plain,
% 12.05/8.08 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4920,plain,
% 12.05/8.08 (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77))))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4919, 745])).
% 12.05/8.08 tff(4921,plain,
% 12.05/8.08 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB77) <=> (v114(constB77) | v125(constB77)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4922,plain,
% 12.05/8.08 (v113(constB77) <=> (v114(constB77) | v125(constB77))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4921, 754])).
% 12.05/8.08 tff(4923,plain,
% 12.05/8.08 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB77) <=> (v115(constB77) | v124(constB77)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.08 tff(4924,plain,
% 12.05/8.08 (v114(constB77) <=> (v115(constB77) | v124(constB77))),
% 12.05/8.08 inference(unit_resolution,[status(thm)],[4923, 763])).
% 12.05/8.08 tff(4925,plain,
% 12.05/8.08 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB77) <=> (v116(constB77) | v123(constB77)))),
% 12.05/8.08 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4926,plain,
% 12.05/8.09 (v115(constB77) <=> (v116(constB77) | v123(constB77))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4925, 772])).
% 12.05/8.09 tff(4927,plain,
% 12.05/8.09 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB77) <=> (v117(constB77) | v122(constB77)))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4928,plain,
% 12.05/8.09 (v116(constB77) <=> (v117(constB77) | v122(constB77))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4927, 885])).
% 12.05/8.09 tff(4929,plain,
% 12.05/8.09 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB77) <=> (v118(constB77) | v121(constB77)))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4930,plain,
% 12.05/8.09 (v117(constB77) <=> (v118(constB77) | v121(constB77))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4929, 1000])).
% 12.05/8.09 tff(4931,plain,
% 12.05/8.09 (((~![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)))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4932,plain,
% 12.05/8.09 ((v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1))))) <=> (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4933,plain,
% 12.05/8.09 (((~![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)))))),
% 12.05/8.09 inference(monotonicity,[status(thm)],[4932])).
% 12.05/8.09 tff(4934,plain,
% 12.05/8.09 (((~![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)))))),
% 12.05/8.09 inference(transitivity,[status(thm)],[4933, 4931])).
% 12.05/8.09 tff(4935,plain,
% 12.05/8.09 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4936,plain,
% 12.05/8.09 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 12.05/8.09 tff(4937,plain,
% 12.05/8.09 (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4936, 1015])).
% 12.05/8.09 tff(4938,plain,
% 12.05/8.09 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4939,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76')).
% 12.05/8.09 tff(4940,plain,
% 12.05/8.09 (nextState(constB76, constB77)),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 12.05/8.09 tff(4941,plain,
% 12.05/8.09 (((~![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))))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4942,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4943,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 12.05/8.09 tff(4944,plain,
% 12.05/8.09 (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4943, 4940, 596])).
% 12.05/8.09 tff(4945,plain,
% 12.05/8.09 (((~![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))))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4946,plain,
% 12.05/8.09 (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4947,plain,
% 12.05/8.09 (((~![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)))))))),
% 12.05/8.09 inference(monotonicity,[status(thm)],[4946])).
% 12.05/8.09 tff(4948,plain,
% 12.05/8.09 (((~![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))))))),
% 12.05/8.09 inference(transitivity,[status(thm)],[4947, 4945])).
% 12.05/8.09 tff(4949,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4950,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 12.05/8.09 tff(4951,plain,
% 12.05/8.09 (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4950, 4940, 616])).
% 12.05/8.09 tff(4952,plain,
% 12.05/8.09 (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 12.05/8.09 inference(tautology,[status(thm)],[])).
% 12.05/8.09 tff(4953,plain,
% 12.05/8.09 ((~v1(constB77)) | (~v102(constB77))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4952, 4899])).
% 12.05/8.09 tff(4954,plain,
% 12.05/8.09 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 12.05/8.09 inference(tautology,[status(thm)],[])).
% 12.05/8.09 tff(4955,plain,
% 12.05/8.09 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4954, 4953])).
% 12.05/8.09 tff(4956,plain,
% 12.05/8.09 (~v101(constB77)),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4955, 4951])).
% 12.05/8.09 tff(4957,plain,
% 12.05/8.09 (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 12.05/8.09 inference(tautology,[status(thm)],[])).
% 12.05/8.09 tff(4958,plain,
% 12.05/8.09 ((~v101(constB77)) | (~v110(constB77))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4957, 4956])).
% 12.05/8.09 tff(4959,plain,
% 12.05/8.09 ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 12.05/8.09 inference(tautology,[status(thm)],[])).
% 12.05/8.09 tff(4960,plain,
% 12.05/8.09 (~v100(constB77)),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4959, 4958, 4944])).
% 12.05/8.09 tff(4961,plain,
% 12.05/8.09 (((~![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))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4962,plain,
% 12.05/8.09 ((~![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))))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4963,plain,
% 12.05/8.09 ((~![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)))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 12.05/8.09 tff(4964,plain,
% 12.05/8.09 (v100(constB77) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4963, 4940, 645])).
% 12.05/8.09 tff(4965,plain,
% 12.05/8.09 (![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4964, 4960])).
% 12.05/8.09 tff(4966,plain,
% 12.05/8.09 (((~![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)))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4967,plain,
% 12.05/8.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4968,plain,
% 12.05/8.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4967, 4966])).
% 12.05/8.09 tff(4969,plain,
% 12.05/8.09 (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4968, 579, 4965])).
% 12.05/8.09 tff(4970,plain,
% 12.05/8.09 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4971,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75')).
% 12.05/8.09 tff(4972,plain,
% 12.05/8.09 (nextState(constB75, constB76)),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 12.05/8.09 tff(4973,plain,
% 12.05/8.09 (((~![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))))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4974,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4975,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 12.05/8.09 tff(4976,plain,
% 12.05/8.09 (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4975, 4972, 596])).
% 12.05/8.09 tff(4977,plain,
% 12.05/8.09 (((~![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))))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4978,plain,
% 12.05/8.09 (((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 12.05/8.09 inference(rewrite,[status(thm)],[])).
% 12.05/8.09 tff(4979,plain,
% 12.05/8.09 (((~![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)))))))),
% 12.05/8.09 inference(monotonicity,[status(thm)],[4978])).
% 12.05/8.09 tff(4980,plain,
% 12.05/8.09 (((~![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))))))),
% 12.05/8.09 inference(transitivity,[status(thm)],[4979, 4977])).
% 12.05/8.09 tff(4981,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))),
% 12.05/8.09 inference(quant_inst,[status(thm)],[])).
% 12.05/8.09 tff(4982,plain,
% 12.05/8.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))),
% 12.05/8.09 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 12.05/8.09 tff(4983,plain,
% 12.05/8.09 (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))),
% 12.05/8.09 inference(unit_resolution,[status(thm)],[4982, 4972, 616])).
% 12.05/8.09 tff(4984,plain,
% 12.05/8.09 (((~![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)))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(4985,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(4986,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 12.05/8.10 tff(4987,plain,
% 12.05/8.10 ((~v102(constB76)) <=> v104(constB76)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[4986, 4972, 678])).
% 12.05/8.10 tff(4988,plain,
% 12.05/8.10 (((~![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)))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(4989,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(4990,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 12.05/8.10 tff(4991,plain,
% 12.05/8.10 (v104(constB76) <=> v1(constB75)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[4990, 4972, 692])).
% 12.05/8.10 tff(4992,plain,
% 12.05/8.10 ((~v1(constB75)) <=> (~v1(constB75))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(4993,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75')).
% 12.05/8.10 tff(4994,plain,
% 12.05/8.10 (~v1(constB75)),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 12.05/8.10 tff(4995,plain,
% 12.05/8.10 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76)) | v1(constB75)),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(4996,plain,
% 12.05/8.10 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[4995, 4994])).
% 12.05/8.10 tff(4997,plain,
% 12.05/8.10 (~v104(constB76)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[4996, 4991])).
% 12.05/8.10 tff(4998,plain,
% 12.05/8.10 ((~((~v102(constB76)) <=> v104(constB76))) | v102(constB76) | v104(constB76)),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(4999,plain,
% 12.05/8.10 (v102(constB76)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[4998, 4997, 4987])).
% 12.05/8.10 tff(5000,plain,
% 12.05/8.10 (v1(constB76) <=> v1(constB76)),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5001,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76')).
% 12.05/8.10 tff(5002,plain,
% 12.05/8.10 (v1(constB76)),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 12.05/8.10 tff(5003,plain,
% 12.05/8.10 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v1(constB76)) | (~v102(constB76))),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(5004,plain,
% 12.05/8.10 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v102(constB76))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5003, 5002])).
% 12.05/8.10 tff(5005,plain,
% 12.05/8.10 (~((~v1(constB76)) | (~v102(constB76)))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5004, 4999])).
% 12.05/8.10 tff(5006,plain,
% 12.05/8.10 ((~(v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))) | v101(constB76) | ((~v1(constB76)) | (~v102(constB76)))),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(5007,plain,
% 12.05/8.10 (v101(constB76)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5006, 5005, 4983])).
% 12.05/8.10 tff(5008,plain,
% 12.05/8.10 (((~![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)))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5009,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5010,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 12.05/8.10 tff(5011,plain,
% 12.05/8.10 (v110(constB76) <=> v108(constB75)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5010, 4972, 722])).
% 12.05/8.10 tff(5012,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB75) <=> (v111(constB75) | v112(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5013,plain,
% 12.05/8.10 (v108(constB75) <=> (v111(constB75) | v112(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5012, 733])).
% 12.05/8.10 tff(5014,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5015,plain,
% 12.05/8.10 (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75))))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5014, 745])).
% 12.05/8.10 tff(5016,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB75) <=> (v114(constB75) | v125(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5017,plain,
% 12.05/8.10 (v113(constB75) <=> (v114(constB75) | v125(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5016, 754])).
% 12.05/8.10 tff(5018,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB75) <=> (v115(constB75) | v124(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5019,plain,
% 12.05/8.10 (v114(constB75) <=> (v115(constB75) | v124(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5018, 763])).
% 12.05/8.10 tff(5020,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB75) <=> (v116(constB75) | v123(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5021,plain,
% 12.05/8.10 (v115(constB75) <=> (v116(constB75) | v123(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5020, 772])).
% 12.05/8.10 tff(5022,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB75) <=> (v117(constB75) | v122(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5023,plain,
% 12.05/8.10 (v116(constB75) <=> (v117(constB75) | v122(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5022, 885])).
% 12.05/8.10 tff(5024,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB75) <=> (v118(constB75) | v121(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5025,plain,
% 12.05/8.10 (v117(constB75) <=> (v118(constB75) | v121(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5024, 1000])).
% 12.05/8.10 tff(5026,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB75) <=> (v119(constB75) | v120(constB75)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5027,plain,
% 12.05/8.10 (v118(constB75) <=> (v119(constB75) | v120(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5026, 1117])).
% 12.05/8.10 tff(5028,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5029,plain,
% 12.05/8.10 ((v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))))) <=> (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5030,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(monotonicity,[status(thm)],[5029])).
% 12.05/8.10 tff(5031,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(transitivity,[status(thm)],[5030, 5028])).
% 12.05/8.10 tff(5032,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5033,plain,
% 12.05/8.10 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 12.05/8.10 tff(5034,plain,
% 12.05/8.10 (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5033, 1132])).
% 12.05/8.10 tff(5035,plain,
% 12.05/8.10 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5036,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74')).
% 12.05/8.10 tff(5037,plain,
% 12.05/8.10 (nextState(constB74, constB75)),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 12.05/8.10 tff(5038,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5039,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5040,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 12.05/8.10 tff(5041,plain,
% 12.05/8.10 (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5040, 5037, 596])).
% 12.05/8.10 tff(5042,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5043,plain,
% 12.05/8.10 (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5044,plain,
% 12.05/8.10 (((~![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)))))))),
% 12.05/8.10 inference(monotonicity,[status(thm)],[5043])).
% 12.05/8.10 tff(5045,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(transitivity,[status(thm)],[5044, 5042])).
% 12.05/8.10 tff(5046,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5047,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5046, 5045])).
% 12.05/8.10 tff(5048,plain,
% 12.05/8.10 (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5047, 5037, 616])).
% 12.05/8.10 tff(5049,plain,
% 12.05/8.10 (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(5050,plain,
% 12.05/8.10 ((~v1(constB75)) | (~v102(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5049, 4994])).
% 12.05/8.10 tff(5051,plain,
% 12.05/8.10 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(5052,plain,
% 12.05/8.10 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5051, 5050])).
% 12.05/8.10 tff(5053,plain,
% 12.05/8.10 (~v101(constB75)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5052, 5048])).
% 12.05/8.10 tff(5054,plain,
% 12.05/8.10 (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(5055,plain,
% 12.05/8.10 ((~v101(constB75)) | (~v110(constB75))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5054, 5053])).
% 12.05/8.10 tff(5056,plain,
% 12.05/8.10 ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 12.05/8.10 inference(tautology,[status(thm)],[])).
% 12.05/8.10 tff(5057,plain,
% 12.05/8.10 (~v100(constB75)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5056, 5055, 5041])).
% 12.05/8.10 tff(5058,plain,
% 12.05/8.10 (((~![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))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5059,plain,
% 12.05/8.10 ((~![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))))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5060,plain,
% 12.05/8.10 ((~![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)))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5059, 5058])).
% 12.05/8.10 tff(5061,plain,
% 12.05/8.10 (v100(constB75) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5060, 5037, 645])).
% 12.05/8.10 tff(5062,plain,
% 12.05/8.10 (![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5061, 5057])).
% 12.05/8.10 tff(5063,plain,
% 12.05/8.10 (((~![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)))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5064,plain,
% 12.05/8.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5065,plain,
% 12.05/8.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 12.05/8.10 tff(5066,plain,
% 12.05/8.10 (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5065, 579, 5062])).
% 12.05/8.10 tff(5067,plain,
% 12.05/8.10 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5068,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73')).
% 12.05/8.10 tff(5069,plain,
% 12.05/8.10 (nextState(constB73, constB74)),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 12.05/8.10 tff(5070,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5071,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 12.05/8.10 inference(quant_inst,[status(thm)],[])).
% 12.05/8.10 tff(5072,plain,
% 12.05/8.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))),
% 12.05/8.10 inference(modus_ponens,[status(thm)],[5071, 5070])).
% 12.05/8.10 tff(5073,plain,
% 12.05/8.10 (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))),
% 12.05/8.10 inference(unit_resolution,[status(thm)],[5072, 5069, 596])).
% 12.05/8.10 tff(5074,plain,
% 12.05/8.10 (((~![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))))))),
% 12.05/8.10 inference(rewrite,[status(thm)],[])).
% 12.05/8.10 tff(5075,plain,
% 12.05/8.10 (((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5076,plain,
% 12.05/8.11 (((~![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)))))))),
% 12.05/8.11 inference(monotonicity,[status(thm)],[5075])).
% 12.05/8.11 tff(5077,plain,
% 12.05/8.11 (((~![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))))))),
% 12.05/8.11 inference(transitivity,[status(thm)],[5076, 5074])).
% 12.05/8.11 tff(5078,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5079,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 12.05/8.11 tff(5080,plain,
% 12.05/8.11 (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5079, 5069, 616])).
% 12.05/8.11 tff(5081,plain,
% 12.05/8.11 (((~![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)))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5082,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5083,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 12.05/8.11 tff(5084,plain,
% 12.05/8.11 ((~v102(constB74)) <=> v104(constB74)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5083, 5069, 678])).
% 12.05/8.11 tff(5085,plain,
% 12.05/8.11 (((~![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)))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5086,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5087,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 12.05/8.11 tff(5088,plain,
% 12.05/8.11 (v104(constB74) <=> v1(constB73)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5087, 5069, 692])).
% 12.05/8.11 tff(5089,plain,
% 12.05/8.11 ((~v1(constB73)) <=> (~v1(constB73))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5090,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73')).
% 12.05/8.11 tff(5091,plain,
% 12.05/8.11 (~v1(constB73)),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5090, 5089])).
% 12.05/8.11 tff(5092,plain,
% 12.05/8.11 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74)) | v1(constB73)),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5093,plain,
% 12.05/8.11 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5092, 5091])).
% 12.05/8.11 tff(5094,plain,
% 12.05/8.11 (~v104(constB74)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5093, 5088])).
% 12.05/8.11 tff(5095,plain,
% 12.05/8.11 ((~((~v102(constB74)) <=> v104(constB74))) | v102(constB74) | v104(constB74)),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5096,plain,
% 12.05/8.11 (v102(constB74)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5095, 5094, 5084])).
% 12.05/8.11 tff(5097,plain,
% 12.05/8.11 (v1(constB74) <=> v1(constB74)),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5098,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74')).
% 12.05/8.11 tff(5099,plain,
% 12.05/8.11 (v1(constB74)),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5098, 5097])).
% 12.05/8.11 tff(5100,plain,
% 12.05/8.11 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v1(constB74)) | (~v102(constB74))),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5101,plain,
% 12.05/8.11 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v102(constB74))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5100, 5099])).
% 12.05/8.11 tff(5102,plain,
% 12.05/8.11 (~((~v1(constB74)) | (~v102(constB74)))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5101, 5096])).
% 12.05/8.11 tff(5103,plain,
% 12.05/8.11 ((~(v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))) | v101(constB74) | ((~v1(constB74)) | (~v102(constB74)))),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5104,plain,
% 12.05/8.11 (v101(constB74)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5103, 5102, 5080])).
% 12.05/8.11 tff(5105,plain,
% 12.05/8.11 (((~![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)))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5106,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5107,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 12.05/8.11 tff(5108,plain,
% 12.05/8.11 (v110(constB74) <=> v108(constB73)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5107, 5069, 722])).
% 12.05/8.11 tff(5109,plain,
% 12.05/8.11 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB73) <=> (v111(constB73) | v112(constB73)))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5110,plain,
% 12.05/8.11 (v108(constB73) <=> (v111(constB73) | v112(constB73))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5109, 733])).
% 12.05/8.11 tff(5111,plain,
% 12.05/8.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5112,plain,
% 12.05/8.11 (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73))))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5111, 745])).
% 12.05/8.11 tff(5113,plain,
% 12.05/8.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB73) <=> (v114(constB73) | v125(constB73)))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5114,plain,
% 12.05/8.11 (v113(constB73) <=> (v114(constB73) | v125(constB73))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5113, 754])).
% 12.05/8.11 tff(5115,plain,
% 12.05/8.11 (((~![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)))))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5116,plain,
% 12.05/8.11 ((v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2))))) <=> (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5117,plain,
% 12.05/8.11 (((~![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)))))),
% 12.05/8.11 inference(monotonicity,[status(thm)],[5116])).
% 12.05/8.11 tff(5118,plain,
% 12.05/8.11 (((~![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)))))),
% 12.05/8.11 inference(transitivity,[status(thm)],[5117, 5115])).
% 12.05/8.11 tff(5119,plain,
% 12.05/8.11 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5120,plain,
% 12.05/8.11 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 12.05/8.11 tff(5121,plain,
% 12.05/8.11 (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5120, 3458])).
% 12.05/8.11 tff(5122,plain,
% 12.05/8.11 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5123,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72')).
% 12.05/8.11 tff(5124,plain,
% 12.05/8.11 (nextState(constB72, constB73)),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 12.05/8.11 tff(5125,plain,
% 12.05/8.11 (((~![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))))))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5126,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5127,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5126, 5125])).
% 12.05/8.11 tff(5128,plain,
% 12.05/8.11 (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5127, 5124, 596])).
% 12.05/8.11 tff(5129,plain,
% 12.05/8.11 (((~![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))))))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5130,plain,
% 12.05/8.11 (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 12.05/8.11 inference(rewrite,[status(thm)],[])).
% 12.05/8.11 tff(5131,plain,
% 12.05/8.11 (((~![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)))))))),
% 12.05/8.11 inference(monotonicity,[status(thm)],[5130])).
% 12.05/8.11 tff(5132,plain,
% 12.05/8.11 (((~![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))))))),
% 12.05/8.11 inference(transitivity,[status(thm)],[5131, 5129])).
% 12.05/8.11 tff(5133,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 12.05/8.11 inference(quant_inst,[status(thm)],[])).
% 12.05/8.11 tff(5134,plain,
% 12.05/8.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 12.05/8.11 inference(modus_ponens,[status(thm)],[5133, 5132])).
% 12.05/8.11 tff(5135,plain,
% 12.05/8.11 (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5134, 5124, 616])).
% 12.05/8.11 tff(5136,plain,
% 12.05/8.11 (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5137,plain,
% 12.05/8.11 ((~v1(constB73)) | (~v102(constB73))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5136, 5091])).
% 12.05/8.11 tff(5138,plain,
% 12.05/8.11 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5139,plain,
% 12.05/8.11 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5138, 5137])).
% 12.05/8.11 tff(5140,plain,
% 12.05/8.11 (~v101(constB73)),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5139, 5135])).
% 12.05/8.11 tff(5141,plain,
% 12.05/8.11 (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.11 tff(5142,plain,
% 12.05/8.11 ((~v101(constB73)) | (~v110(constB73))),
% 12.05/8.11 inference(unit_resolution,[status(thm)],[5141, 5140])).
% 12.05/8.11 tff(5143,plain,
% 12.05/8.11 ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 12.05/8.11 inference(tautology,[status(thm)],[])).
% 12.05/8.12 tff(5144,plain,
% 12.05/8.12 (~v100(constB73)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5143, 5142, 5128])).
% 12.05/8.12 tff(5145,plain,
% 12.05/8.12 (((~![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))))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5146,plain,
% 12.05/8.12 ((~![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))))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5147,plain,
% 12.05/8.12 ((~![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)))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 12.05/8.12 tff(5148,plain,
% 12.05/8.12 (v100(constB73) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5147, 5124, 645])).
% 12.05/8.12 tff(5149,plain,
% 12.05/8.12 (![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5148, 5144])).
% 12.05/8.12 tff(5150,plain,
% 12.05/8.12 (((~![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)))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5151,plain,
% 12.05/8.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5152,plain,
% 12.05/8.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5151, 5150])).
% 12.05/8.12 tff(5153,plain,
% 12.05/8.12 (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5152, 579, 5149])).
% 12.05/8.12 tff(5154,plain,
% 12.05/8.12 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5155,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71')).
% 12.05/8.12 tff(5156,plain,
% 12.05/8.12 (nextState(constB71, constB72)),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5155, 5154])).
% 12.05/8.12 tff(5157,plain,
% 12.05/8.12 (((~![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))))))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5158,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5159,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 12.05/8.12 tff(5160,plain,
% 12.05/8.12 (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5159, 5156, 596])).
% 12.05/8.12 tff(5161,plain,
% 12.05/8.12 (((~![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))))))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5162,plain,
% 12.05/8.12 (((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5163,plain,
% 12.05/8.12 (((~![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)))))))),
% 12.05/8.12 inference(monotonicity,[status(thm)],[5162])).
% 12.05/8.12 tff(5164,plain,
% 12.05/8.12 (((~![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))))))),
% 12.05/8.12 inference(transitivity,[status(thm)],[5163, 5161])).
% 12.05/8.12 tff(5165,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5166,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 12.05/8.12 tff(5167,plain,
% 12.05/8.12 (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5166, 5156, 616])).
% 12.05/8.12 tff(5168,plain,
% 12.05/8.12 (((~![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)))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5169,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5170,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 12.05/8.12 tff(5171,plain,
% 12.05/8.12 ((~v102(constB72)) <=> v104(constB72)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5170, 5156, 678])).
% 12.05/8.12 tff(5172,plain,
% 12.05/8.12 (((~![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)))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5173,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5174,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 12.05/8.12 tff(5175,plain,
% 12.05/8.12 (v104(constB72) <=> v1(constB71)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5174, 5156, 692])).
% 12.05/8.12 tff(5176,plain,
% 12.05/8.12 ((~v1(constB71)) <=> (~v1(constB71))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5177,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71')).
% 12.05/8.12 tff(5178,plain,
% 12.05/8.12 (~v1(constB71)),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5177, 5176])).
% 12.05/8.12 tff(5179,plain,
% 12.05/8.12 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72)) | v1(constB71)),
% 12.05/8.12 inference(tautology,[status(thm)],[])).
% 12.05/8.12 tff(5180,plain,
% 12.05/8.12 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5179, 5178])).
% 12.05/8.12 tff(5181,plain,
% 12.05/8.12 (~v104(constB72)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5180, 5175])).
% 12.05/8.12 tff(5182,plain,
% 12.05/8.12 ((~((~v102(constB72)) <=> v104(constB72))) | v102(constB72) | v104(constB72)),
% 12.05/8.12 inference(tautology,[status(thm)],[])).
% 12.05/8.12 tff(5183,plain,
% 12.05/8.12 (v102(constB72)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5182, 5181, 5171])).
% 12.05/8.12 tff(5184,plain,
% 12.05/8.12 (v1(constB72) <=> v1(constB72)),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5185,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72')).
% 12.05/8.12 tff(5186,plain,
% 12.05/8.12 (v1(constB72)),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 12.05/8.12 tff(5187,plain,
% 12.05/8.12 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v1(constB72)) | (~v102(constB72))),
% 12.05/8.12 inference(tautology,[status(thm)],[])).
% 12.05/8.12 tff(5188,plain,
% 12.05/8.12 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v102(constB72))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5187, 5186])).
% 12.05/8.12 tff(5189,plain,
% 12.05/8.12 (~((~v1(constB72)) | (~v102(constB72)))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5188, 5183])).
% 12.05/8.12 tff(5190,plain,
% 12.05/8.12 ((~(v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))) | v101(constB72) | ((~v1(constB72)) | (~v102(constB72)))),
% 12.05/8.12 inference(tautology,[status(thm)],[])).
% 12.05/8.12 tff(5191,plain,
% 12.05/8.12 (v101(constB72)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5190, 5189, 5167])).
% 12.05/8.12 tff(5192,plain,
% 12.05/8.12 (((~![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)))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5193,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5194,plain,
% 12.05/8.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 12.05/8.12 tff(5195,plain,
% 12.05/8.12 (v110(constB72) <=> v108(constB71)),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5194, 5156, 722])).
% 12.05/8.12 tff(5196,plain,
% 12.05/8.12 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB71) <=> (v111(constB71) | v112(constB71)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5197,plain,
% 12.05/8.12 (v108(constB71) <=> (v111(constB71) | v112(constB71))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5196, 733])).
% 12.05/8.12 tff(5198,plain,
% 12.05/8.12 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5199,plain,
% 12.05/8.12 (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71))))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5198, 745])).
% 12.05/8.12 tff(5200,plain,
% 12.05/8.12 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB71) <=> (v114(constB71) | v125(constB71)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5201,plain,
% 12.05/8.12 (v113(constB71) <=> (v114(constB71) | v125(constB71))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5200, 754])).
% 12.05/8.12 tff(5202,plain,
% 12.05/8.12 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB71) <=> (v115(constB71) | v124(constB71)))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5203,plain,
% 12.05/8.12 (v114(constB71) <=> (v115(constB71) | v124(constB71))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5202, 763])).
% 12.05/8.12 tff(5204,plain,
% 12.05/8.12 (((~![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))))))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5205,plain,
% 12.05/8.12 ((v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2))))) <=> (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5206,plain,
% 12.05/8.12 (((~![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))))))),
% 12.05/8.12 inference(monotonicity,[status(thm)],[5205])).
% 12.05/8.12 tff(5207,plain,
% 12.05/8.12 (((~![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))))))),
% 12.05/8.12 inference(transitivity,[status(thm)],[5206, 5204])).
% 12.05/8.12 tff(5208,plain,
% 12.05/8.12 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))),
% 12.05/8.12 inference(quant_inst,[status(thm)],[])).
% 12.05/8.12 tff(5209,plain,
% 12.05/8.12 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))),
% 12.05/8.12 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 12.05/8.12 tff(5210,plain,
% 12.05/8.12 (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))))),
% 12.05/8.12 inference(unit_resolution,[status(thm)],[5209, 2651])).
% 12.05/8.12 tff(5211,plain,
% 12.05/8.12 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 12.05/8.12 inference(rewrite,[status(thm)],[])).
% 12.05/8.12 tff(5212,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70')).
% 12.05/8.13 tff(5213,plain,
% 12.05/8.13 (nextState(constB70, constB71)),
% 12.05/8.13 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 12.05/8.13 tff(5214,plain,
% 12.05/8.13 (((~![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))))))),
% 12.05/8.13 inference(rewrite,[status(thm)],[])).
% 12.05/8.13 tff(5215,plain,
% 12.05/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 12.05/8.13 inference(quant_inst,[status(thm)],[])).
% 12.05/8.13 tff(5216,plain,
% 12.05/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 12.05/8.13 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 12.05/8.13 tff(5217,plain,
% 12.05/8.13 (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5216, 5213, 596])).
% 12.05/8.13 tff(5218,plain,
% 12.05/8.13 (((~![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))))))),
% 12.05/8.13 inference(rewrite,[status(thm)],[])).
% 12.05/8.13 tff(5219,plain,
% 12.05/8.13 (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 12.05/8.13 inference(rewrite,[status(thm)],[])).
% 12.05/8.13 tff(5220,plain,
% 12.05/8.13 (((~![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)))))))),
% 12.05/8.13 inference(monotonicity,[status(thm)],[5219])).
% 12.05/8.13 tff(5221,plain,
% 12.05/8.13 (((~![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))))))),
% 12.05/8.13 inference(transitivity,[status(thm)],[5220, 5218])).
% 12.05/8.13 tff(5222,plain,
% 12.05/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 12.05/8.13 inference(quant_inst,[status(thm)],[])).
% 12.05/8.13 tff(5223,plain,
% 12.05/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 12.05/8.13 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 12.05/8.13 tff(5224,plain,
% 12.05/8.13 (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5223, 5213, 616])).
% 12.05/8.13 tff(5225,plain,
% 12.05/8.13 (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 12.05/8.13 inference(tautology,[status(thm)],[])).
% 12.05/8.13 tff(5226,plain,
% 12.05/8.13 ((~v1(constB71)) | (~v102(constB71))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5225, 5178])).
% 12.05/8.13 tff(5227,plain,
% 12.05/8.13 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 12.05/8.13 inference(tautology,[status(thm)],[])).
% 12.05/8.13 tff(5228,plain,
% 12.05/8.13 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5227, 5226])).
% 12.05/8.13 tff(5229,plain,
% 12.05/8.13 (~v101(constB71)),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5228, 5224])).
% 12.05/8.13 tff(5230,plain,
% 12.05/8.13 (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 12.05/8.13 inference(tautology,[status(thm)],[])).
% 12.05/8.13 tff(5231,plain,
% 12.05/8.13 ((~v101(constB71)) | (~v110(constB71))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5230, 5229])).
% 12.05/8.13 tff(5232,plain,
% 12.05/8.13 ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 12.05/8.13 inference(tautology,[status(thm)],[])).
% 12.05/8.13 tff(5233,plain,
% 12.05/8.13 (~v100(constB71)),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5232, 5231, 5217])).
% 12.05/8.13 tff(5234,plain,
% 12.05/8.13 (((~![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))))),
% 12.05/8.13 inference(rewrite,[status(thm)],[])).
% 12.05/8.13 tff(5235,plain,
% 12.05/8.13 ((~![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))))),
% 12.05/8.13 inference(quant_inst,[status(thm)],[])).
% 12.05/8.13 tff(5236,plain,
% 12.05/8.13 ((~![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)))),
% 12.05/8.13 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 12.05/8.13 tff(5237,plain,
% 12.05/8.13 (v100(constB71) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5236, 5213, 645])).
% 12.05/8.13 tff(5238,plain,
% 12.05/8.13 (![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5237, 5233])).
% 12.05/8.13 tff(5239,plain,
% 12.05/8.13 (((~![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)))),
% 12.05/8.13 inference(rewrite,[status(thm)],[])).
% 12.05/8.13 tff(5240,plain,
% 12.05/8.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))),
% 12.05/8.13 inference(quant_inst,[status(thm)],[])).
% 12.05/8.13 tff(5241,plain,
% 12.05/8.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2))),
% 12.05/8.13 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 12.05/8.13 tff(5242,plain,
% 12.05/8.13 (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)),
% 12.05/8.13 inference(unit_resolution,[status(thm)],[5241, 579, 5238])).
% 12.05/8.13 tff(5243,plain,
% 12.05/8.13 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 12.05/8.13 inference(rewrite,[status(thm)],[])).
% 12.05/8.13 tff(5244,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69')).
% 12.13/8.13 tff(5245,plain,
% 12.13/8.13 (nextState(constB69, constB70)),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 12.13/8.13 tff(5246,plain,
% 12.13/8.13 (((~![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))))))),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5247,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 12.13/8.13 inference(quant_inst,[status(thm)],[])).
% 12.13/8.13 tff(5248,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 12.13/8.13 tff(5249,plain,
% 12.13/8.13 (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5248, 5245, 596])).
% 12.13/8.13 tff(5250,plain,
% 12.13/8.13 (((~![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))))))),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5251,plain,
% 12.13/8.13 (((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5252,plain,
% 12.13/8.13 (((~![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)))))))),
% 12.13/8.13 inference(monotonicity,[status(thm)],[5251])).
% 12.13/8.13 tff(5253,plain,
% 12.13/8.13 (((~![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))))))),
% 12.13/8.13 inference(transitivity,[status(thm)],[5252, 5250])).
% 12.13/8.13 tff(5254,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))),
% 12.13/8.13 inference(quant_inst,[status(thm)],[])).
% 12.13/8.13 tff(5255,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5254, 5253])).
% 12.13/8.13 tff(5256,plain,
% 12.13/8.13 (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5255, 5245, 616])).
% 12.13/8.13 tff(5257,plain,
% 12.13/8.13 (((~![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)))),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5258,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 12.13/8.13 inference(quant_inst,[status(thm)],[])).
% 12.13/8.13 tff(5259,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70))),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 12.13/8.13 tff(5260,plain,
% 12.13/8.13 ((~v102(constB70)) <=> v104(constB70)),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5259, 5245, 678])).
% 12.13/8.13 tff(5261,plain,
% 12.13/8.13 (((~![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)))),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5262,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 12.13/8.13 inference(quant_inst,[status(thm)],[])).
% 12.13/8.13 tff(5263,plain,
% 12.13/8.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69))),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 12.13/8.13 tff(5264,plain,
% 12.13/8.13 (v104(constB70) <=> v1(constB69)),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5263, 5245, 692])).
% 12.13/8.13 tff(5265,plain,
% 12.13/8.13 ((~v1(constB69)) <=> (~v1(constB69))),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5266,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69')).
% 12.13/8.13 tff(5267,plain,
% 12.13/8.13 (~v1(constB69)),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 12.13/8.13 tff(5268,plain,
% 12.13/8.13 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70)) | v1(constB69)),
% 12.13/8.13 inference(tautology,[status(thm)],[])).
% 12.13/8.13 tff(5269,plain,
% 12.13/8.13 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70))),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5268, 5267])).
% 12.13/8.13 tff(5270,plain,
% 12.13/8.13 (~v104(constB70)),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5269, 5264])).
% 12.13/8.13 tff(5271,plain,
% 12.13/8.13 ((~((~v102(constB70)) <=> v104(constB70))) | v102(constB70) | v104(constB70)),
% 12.13/8.13 inference(tautology,[status(thm)],[])).
% 12.13/8.13 tff(5272,plain,
% 12.13/8.13 (v102(constB70)),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5271, 5270, 5260])).
% 12.13/8.13 tff(5273,plain,
% 12.13/8.13 (v1(constB70) <=> v1(constB70)),
% 12.13/8.13 inference(rewrite,[status(thm)],[])).
% 12.13/8.13 tff(5274,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70')).
% 12.13/8.13 tff(5275,plain,
% 12.13/8.13 (v1(constB70)),
% 12.13/8.13 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 12.13/8.13 tff(5276,plain,
% 12.13/8.13 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v1(constB70)) | (~v102(constB70))),
% 12.13/8.13 inference(tautology,[status(thm)],[])).
% 12.13/8.13 tff(5277,plain,
% 12.13/8.13 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v102(constB70))),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5276, 5275])).
% 12.13/8.13 tff(5278,plain,
% 12.13/8.13 (~((~v1(constB70)) | (~v102(constB70)))),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5277, 5272])).
% 12.13/8.13 tff(5279,plain,
% 12.13/8.13 ((~(v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))) | v101(constB70) | ((~v1(constB70)) | (~v102(constB70)))),
% 12.13/8.13 inference(tautology,[status(thm)],[])).
% 12.13/8.13 tff(5280,plain,
% 12.13/8.13 (v101(constB70)),
% 12.13/8.13 inference(unit_resolution,[status(thm)],[5279, 5278, 5256])).
% 12.13/8.13 tff(5281,plain,
% 12.13/8.13 (((~![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)))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5282,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5283,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 12.13/8.14 tff(5284,plain,
% 12.13/8.14 (v110(constB70) <=> v108(constB69)),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5283, 5245, 722])).
% 12.13/8.14 tff(5285,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB69) <=> (v111(constB69) | v112(constB69)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5286,plain,
% 12.13/8.14 (v108(constB69) <=> (v111(constB69) | v112(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5285, 733])).
% 12.13/8.14 tff(5287,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5288,plain,
% 12.13/8.14 (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69))))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5287, 745])).
% 12.13/8.14 tff(5289,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB69) <=> (v114(constB69) | v125(constB69)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5290,plain,
% 12.13/8.14 (v113(constB69) <=> (v114(constB69) | v125(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5289, 754])).
% 12.13/8.14 tff(5291,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB69) <=> (v115(constB69) | v124(constB69)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5292,plain,
% 12.13/8.14 (v114(constB69) <=> (v115(constB69) | v124(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5291, 763])).
% 12.13/8.14 tff(5293,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB69) <=> (v116(constB69) | v123(constB69)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5294,plain,
% 12.13/8.14 (v115(constB69) <=> (v116(constB69) | v123(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5293, 772])).
% 12.13/8.14 tff(5295,plain,
% 12.13/8.14 (((~![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)))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5296,plain,
% 12.13/8.14 ((v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2))))) <=> (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5297,plain,
% 12.13/8.14 (((~![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)))))),
% 12.13/8.14 inference(monotonicity,[status(thm)],[5296])).
% 12.13/8.14 tff(5298,plain,
% 12.13/8.14 (((~![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)))))),
% 12.13/8.14 inference(transitivity,[status(thm)],[5297, 5295])).
% 12.13/8.14 tff(5299,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5300,plain,
% 12.13/8.14 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 12.13/8.14 tff(5301,plain,
% 12.13/8.14 (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5300, 787])).
% 12.13/8.14 tff(5302,plain,
% 12.13/8.14 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5303,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68')).
% 12.13/8.14 tff(5304,plain,
% 12.13/8.14 (nextState(constB68, constB69)),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 12.13/8.14 tff(5305,plain,
% 12.13/8.14 (((~![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))))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5306,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5307,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 12.13/8.14 tff(5308,plain,
% 12.13/8.14 (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5307, 5304, 596])).
% 12.13/8.14 tff(5309,plain,
% 12.13/8.14 (((~![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))))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5310,plain,
% 12.13/8.14 (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5311,plain,
% 12.13/8.14 (((~![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)))))))),
% 12.13/8.14 inference(monotonicity,[status(thm)],[5310])).
% 12.13/8.14 tff(5312,plain,
% 12.13/8.14 (((~![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))))))),
% 12.13/8.14 inference(transitivity,[status(thm)],[5311, 5309])).
% 12.13/8.14 tff(5313,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5314,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 12.13/8.14 tff(5315,plain,
% 12.13/8.14 (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5314, 5304, 616])).
% 12.13/8.14 tff(5316,plain,
% 12.13/8.14 (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 12.13/8.14 inference(tautology,[status(thm)],[])).
% 12.13/8.14 tff(5317,plain,
% 12.13/8.14 ((~v1(constB69)) | (~v102(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5316, 5267])).
% 12.13/8.14 tff(5318,plain,
% 12.13/8.14 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 12.13/8.14 inference(tautology,[status(thm)],[])).
% 12.13/8.14 tff(5319,plain,
% 12.13/8.14 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5318, 5317])).
% 12.13/8.14 tff(5320,plain,
% 12.13/8.14 (~v101(constB69)),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5319, 5315])).
% 12.13/8.14 tff(5321,plain,
% 12.13/8.14 (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 12.13/8.14 inference(tautology,[status(thm)],[])).
% 12.13/8.14 tff(5322,plain,
% 12.13/8.14 ((~v101(constB69)) | (~v110(constB69))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5321, 5320])).
% 12.13/8.14 tff(5323,plain,
% 12.13/8.14 ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 12.13/8.14 inference(tautology,[status(thm)],[])).
% 12.13/8.14 tff(5324,plain,
% 12.13/8.14 (~v100(constB69)),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5323, 5322, 5308])).
% 12.13/8.14 tff(5325,plain,
% 12.13/8.14 (((~![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))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5326,plain,
% 12.13/8.14 ((~![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))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5327,plain,
% 12.13/8.14 ((~![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)))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 12.13/8.14 tff(5328,plain,
% 12.13/8.14 (v100(constB69) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5327, 5304, 645])).
% 12.13/8.14 tff(5329,plain,
% 12.13/8.14 (![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5328, 5324])).
% 12.13/8.14 tff(5330,plain,
% 12.13/8.14 (((~![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)))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5331,plain,
% 12.13/8.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5332,plain,
% 12.13/8.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 12.13/8.14 tff(5333,plain,
% 12.13/8.14 (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5332, 579, 5329])).
% 12.13/8.14 tff(5334,plain,
% 12.13/8.14 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5335,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67')).
% 12.13/8.14 tff(5336,plain,
% 12.13/8.14 (nextState(constB67, constB68)),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 12.13/8.14 tff(5337,plain,
% 12.13/8.14 (((~![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))))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5338,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5339,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5338, 5337])).
% 12.13/8.14 tff(5340,plain,
% 12.13/8.14 (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5339, 5336, 596])).
% 12.13/8.14 tff(5341,plain,
% 12.13/8.14 (((~![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))))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5342,plain,
% 12.13/8.14 (((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5343,plain,
% 12.13/8.14 (((~![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)))))))),
% 12.13/8.14 inference(monotonicity,[status(thm)],[5342])).
% 12.13/8.14 tff(5344,plain,
% 12.13/8.14 (((~![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))))))),
% 12.13/8.14 inference(transitivity,[status(thm)],[5343, 5341])).
% 12.13/8.14 tff(5345,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5346,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5345, 5344])).
% 12.13/8.14 tff(5347,plain,
% 12.13/8.14 (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5346, 5336, 616])).
% 12.13/8.14 tff(5348,plain,
% 12.13/8.14 (((~![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)))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5349,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5350,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 12.13/8.14 tff(5351,plain,
% 12.13/8.14 ((~v102(constB68)) <=> v104(constB68)),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5350, 5336, 678])).
% 12.13/8.14 tff(5352,plain,
% 12.13/8.14 (((~![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)))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5353,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 12.13/8.14 inference(quant_inst,[status(thm)],[])).
% 12.13/8.14 tff(5354,plain,
% 12.13/8.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67))),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 12.13/8.14 tff(5355,plain,
% 12.13/8.14 (v104(constB68) <=> v1(constB67)),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5354, 5336, 692])).
% 12.13/8.14 tff(5356,plain,
% 12.13/8.14 ((~v1(constB67)) <=> (~v1(constB67))),
% 12.13/8.14 inference(rewrite,[status(thm)],[])).
% 12.13/8.14 tff(5357,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67')).
% 12.13/8.14 tff(5358,plain,
% 12.13/8.14 (~v1(constB67)),
% 12.13/8.14 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 12.13/8.14 tff(5359,plain,
% 12.13/8.14 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68)) | v1(constB67)),
% 12.13/8.14 inference(tautology,[status(thm)],[])).
% 12.13/8.14 tff(5360,plain,
% 12.13/8.14 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68))),
% 12.13/8.14 inference(unit_resolution,[status(thm)],[5359, 5358])).
% 12.13/8.15 tff(5361,plain,
% 12.13/8.15 (~v104(constB68)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5360, 5355])).
% 12.13/8.15 tff(5362,plain,
% 12.13/8.15 ((~((~v102(constB68)) <=> v104(constB68))) | v102(constB68) | v104(constB68)),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5363,plain,
% 12.13/8.15 (v102(constB68)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5362, 5361, 5351])).
% 12.13/8.15 tff(5364,plain,
% 12.13/8.15 (v1(constB68) <=> v1(constB68)),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5365,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68')).
% 12.13/8.15 tff(5366,plain,
% 12.13/8.15 (v1(constB68)),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 12.13/8.15 tff(5367,plain,
% 12.13/8.15 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v1(constB68)) | (~v102(constB68))),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5368,plain,
% 12.13/8.15 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v102(constB68))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5367, 5366])).
% 12.13/8.15 tff(5369,plain,
% 12.13/8.15 (~((~v1(constB68)) | (~v102(constB68)))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5368, 5363])).
% 12.13/8.15 tff(5370,plain,
% 12.13/8.15 ((~(v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))) | v101(constB68) | ((~v1(constB68)) | (~v102(constB68)))),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5371,plain,
% 12.13/8.15 (v101(constB68)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5370, 5369, 5347])).
% 12.13/8.15 tff(5372,plain,
% 12.13/8.15 (((~![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)))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5373,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5374,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67))),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 12.13/8.15 tff(5375,plain,
% 12.13/8.15 (v110(constB68) <=> v108(constB67)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5374, 5336, 722])).
% 12.13/8.15 tff(5376,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB67) <=> (v111(constB67) | v112(constB67)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5377,plain,
% 12.13/8.15 (v108(constB67) <=> (v111(constB67) | v112(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5376, 733])).
% 12.13/8.15 tff(5378,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5379,plain,
% 12.13/8.15 (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67))))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5378, 745])).
% 12.13/8.15 tff(5380,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB67) <=> (v114(constB67) | v125(constB67)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5381,plain,
% 12.13/8.15 (v113(constB67) <=> (v114(constB67) | v125(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5380, 754])).
% 12.13/8.15 tff(5382,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB67) <=> (v115(constB67) | v124(constB67)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5383,plain,
% 12.13/8.15 (v114(constB67) <=> (v115(constB67) | v124(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5382, 763])).
% 12.13/8.15 tff(5384,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB67) <=> (v116(constB67) | v123(constB67)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5385,plain,
% 12.13/8.15 (v115(constB67) <=> (v116(constB67) | v123(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5384, 772])).
% 12.13/8.15 tff(5386,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB67) <=> (v117(constB67) | v122(constB67)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5387,plain,
% 12.13/8.15 (v116(constB67) <=> (v117(constB67) | v122(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5386, 885])).
% 12.13/8.15 tff(5388,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5389,plain,
% 12.13/8.15 ((v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1))))) <=> (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5390,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(monotonicity,[status(thm)],[5389])).
% 12.13/8.15 tff(5391,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(transitivity,[status(thm)],[5390, 5388])).
% 12.13/8.15 tff(5392,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5393,plain,
% 12.13/8.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5392, 5391])).
% 12.13/8.15 tff(5394,plain,
% 12.13/8.15 (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5393, 900])).
% 12.13/8.15 tff(5395,plain,
% 12.13/8.15 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5396,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66')).
% 12.13/8.15 tff(5397,plain,
% 12.13/8.15 (nextState(constB66, constB67)),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 12.13/8.15 tff(5398,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5399,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5400,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 12.13/8.15 tff(5401,plain,
% 12.13/8.15 (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5400, 5397, 596])).
% 12.13/8.15 tff(5402,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5403,plain,
% 12.13/8.15 (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5404,plain,
% 12.13/8.15 (((~![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)))))))),
% 12.13/8.15 inference(monotonicity,[status(thm)],[5403])).
% 12.13/8.15 tff(5405,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(transitivity,[status(thm)],[5404, 5402])).
% 12.13/8.15 tff(5406,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5407,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 12.13/8.15 tff(5408,plain,
% 12.13/8.15 (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5407, 5397, 616])).
% 12.13/8.15 tff(5409,plain,
% 12.13/8.15 (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5410,plain,
% 12.13/8.15 ((~v1(constB67)) | (~v102(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5409, 5358])).
% 12.13/8.15 tff(5411,plain,
% 12.13/8.15 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5412,plain,
% 12.13/8.15 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5411, 5410])).
% 12.13/8.15 tff(5413,plain,
% 12.13/8.15 (~v101(constB67)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5412, 5408])).
% 12.13/8.15 tff(5414,plain,
% 12.13/8.15 (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5415,plain,
% 12.13/8.15 ((~v101(constB67)) | (~v110(constB67))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5414, 5413])).
% 12.13/8.15 tff(5416,plain,
% 12.13/8.15 ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 12.13/8.15 inference(tautology,[status(thm)],[])).
% 12.13/8.15 tff(5417,plain,
% 12.13/8.15 (~v100(constB67)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5416, 5415, 5401])).
% 12.13/8.15 tff(5418,plain,
% 12.13/8.15 (((~![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))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5419,plain,
% 12.13/8.15 ((~![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))))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5420,plain,
% 12.13/8.15 ((~![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)))),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 12.13/8.15 tff(5421,plain,
% 12.13/8.15 (v100(constB67) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5420, 5397, 645])).
% 12.13/8.15 tff(5422,plain,
% 12.13/8.15 (![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5421, 5417])).
% 12.13/8.15 tff(5423,plain,
% 12.13/8.15 (((~![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)))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5424,plain,
% 12.13/8.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))),
% 12.13/8.15 inference(quant_inst,[status(thm)],[])).
% 12.13/8.15 tff(5425,plain,
% 12.13/8.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2))),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 12.13/8.15 tff(5426,plain,
% 12.13/8.15 (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)),
% 12.13/8.15 inference(unit_resolution,[status(thm)],[5425, 579, 5422])).
% 12.13/8.15 tff(5427,plain,
% 12.13/8.15 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5428,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65')).
% 12.13/8.15 tff(5429,plain,
% 12.13/8.15 (nextState(constB65, constB66)),
% 12.13/8.15 inference(modus_ponens,[status(thm)],[5428, 5427])).
% 12.13/8.15 tff(5430,plain,
% 12.13/8.15 (((~![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))))))),
% 12.13/8.15 inference(rewrite,[status(thm)],[])).
% 12.13/8.15 tff(5431,plain,
% 12.13/8.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5432,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 12.13/8.16 tff(5433,plain,
% 12.13/8.16 (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5432, 5429, 596])).
% 12.13/8.16 tff(5434,plain,
% 12.13/8.16 (((~![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))))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5435,plain,
% 12.13/8.16 (((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5436,plain,
% 12.13/8.16 (((~![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)))))))),
% 12.13/8.16 inference(monotonicity,[status(thm)],[5435])).
% 12.13/8.16 tff(5437,plain,
% 12.13/8.16 (((~![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))))))),
% 12.13/8.16 inference(transitivity,[status(thm)],[5436, 5434])).
% 12.13/8.16 tff(5438,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5439,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 12.13/8.16 tff(5440,plain,
% 12.13/8.16 (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5439, 5429, 616])).
% 12.13/8.16 tff(5441,plain,
% 12.13/8.16 (((~![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)))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5442,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5443,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 12.13/8.16 tff(5444,plain,
% 12.13/8.16 ((~v102(constB66)) <=> v104(constB66)),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5443, 5429, 678])).
% 12.13/8.16 tff(5445,plain,
% 12.13/8.16 (((~![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)))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5446,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5447,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 12.13/8.16 tff(5448,plain,
% 12.13/8.16 (v104(constB66) <=> v1(constB65)),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5447, 5429, 692])).
% 12.13/8.16 tff(5449,plain,
% 12.13/8.16 ((~v1(constB65)) <=> (~v1(constB65))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5450,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65')).
% 12.13/8.16 tff(5451,plain,
% 12.13/8.16 (~v1(constB65)),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 12.13/8.16 tff(5452,plain,
% 12.13/8.16 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66)) | v1(constB65)),
% 12.13/8.16 inference(tautology,[status(thm)],[])).
% 12.13/8.16 tff(5453,plain,
% 12.13/8.16 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5452, 5451])).
% 12.13/8.16 tff(5454,plain,
% 12.13/8.16 (~v104(constB66)),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5453, 5448])).
% 12.13/8.16 tff(5455,plain,
% 12.13/8.16 ((~((~v102(constB66)) <=> v104(constB66))) | v102(constB66) | v104(constB66)),
% 12.13/8.16 inference(tautology,[status(thm)],[])).
% 12.13/8.16 tff(5456,plain,
% 12.13/8.16 (v102(constB66)),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5455, 5454, 5444])).
% 12.13/8.16 tff(5457,plain,
% 12.13/8.16 (v1(constB66) <=> v1(constB66)),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5458,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66')).
% 12.13/8.16 tff(5459,plain,
% 12.13/8.16 (v1(constB66)),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 12.13/8.16 tff(5460,plain,
% 12.13/8.16 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v1(constB66)) | (~v102(constB66))),
% 12.13/8.16 inference(tautology,[status(thm)],[])).
% 12.13/8.16 tff(5461,plain,
% 12.13/8.16 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v102(constB66))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5460, 5459])).
% 12.13/8.16 tff(5462,plain,
% 12.13/8.16 (~((~v1(constB66)) | (~v102(constB66)))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5461, 5456])).
% 12.13/8.16 tff(5463,plain,
% 12.13/8.16 ((~(v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))) | v101(constB66) | ((~v1(constB66)) | (~v102(constB66)))),
% 12.13/8.16 inference(tautology,[status(thm)],[])).
% 12.13/8.16 tff(5464,plain,
% 12.13/8.16 (v101(constB66)),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5463, 5462, 5440])).
% 12.13/8.16 tff(5465,plain,
% 12.13/8.16 (((~![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)))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5466,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5467,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 12.13/8.16 tff(5468,plain,
% 12.13/8.16 (v110(constB66) <=> v108(constB65)),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5467, 5429, 722])).
% 12.13/8.16 tff(5469,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB65) <=> (v111(constB65) | v112(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5470,plain,
% 12.13/8.16 (v108(constB65) <=> (v111(constB65) | v112(constB65))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5469, 733])).
% 12.13/8.16 tff(5471,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5472,plain,
% 12.13/8.16 (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65))))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5471, 745])).
% 12.13/8.16 tff(5473,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB65) <=> (v114(constB65) | v125(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5474,plain,
% 12.13/8.16 (v113(constB65) <=> (v114(constB65) | v125(constB65))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5473, 754])).
% 12.13/8.16 tff(5475,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB65) <=> (v115(constB65) | v124(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5476,plain,
% 12.13/8.16 (v114(constB65) <=> (v115(constB65) | v124(constB65))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5475, 763])).
% 12.13/8.16 tff(5477,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB65) <=> (v116(constB65) | v123(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5478,plain,
% 12.13/8.16 (v115(constB65) <=> (v116(constB65) | v123(constB65))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5477, 772])).
% 12.13/8.16 tff(5479,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB65) <=> (v117(constB65) | v122(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5480,plain,
% 12.13/8.16 (v116(constB65) <=> (v117(constB65) | v122(constB65))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5479, 885])).
% 12.13/8.16 tff(5481,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB65) <=> (v118(constB65) | v121(constB65)))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5482,plain,
% 12.13/8.16 (v117(constB65) <=> (v118(constB65) | v121(constB65))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5481, 1000])).
% 12.13/8.16 tff(5483,plain,
% 12.13/8.16 (((~![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)))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5484,plain,
% 12.13/8.16 ((v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1))))) <=> (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5485,plain,
% 12.13/8.16 (((~![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)))))),
% 12.13/8.16 inference(monotonicity,[status(thm)],[5484])).
% 12.13/8.16 tff(5486,plain,
% 12.13/8.16 (((~![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)))))),
% 12.13/8.16 inference(transitivity,[status(thm)],[5485, 5483])).
% 12.13/8.16 tff(5487,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5488,plain,
% 12.13/8.16 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 12.13/8.16 tff(5489,plain,
% 12.13/8.16 (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5488, 1015])).
% 12.13/8.16 tff(5490,plain,
% 12.13/8.16 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5491,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64')).
% 12.13/8.16 tff(5492,plain,
% 12.13/8.16 (nextState(constB64, constB65)),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 12.13/8.16 tff(5493,plain,
% 12.13/8.16 (((~![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))))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5494,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 12.13/8.16 inference(quant_inst,[status(thm)],[])).
% 12.13/8.16 tff(5495,plain,
% 12.13/8.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 12.13/8.16 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 12.13/8.16 tff(5496,plain,
% 12.13/8.16 (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 12.13/8.16 inference(unit_resolution,[status(thm)],[5495, 5492, 596])).
% 12.13/8.16 tff(5497,plain,
% 12.13/8.16 (((~![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))))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5498,plain,
% 12.13/8.16 (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 12.13/8.16 inference(rewrite,[status(thm)],[])).
% 12.13/8.16 tff(5499,plain,
% 12.13/8.16 (((~![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)))))))),
% 12.13/8.17 inference(monotonicity,[status(thm)],[5498])).
% 12.13/8.17 tff(5500,plain,
% 12.13/8.17 (((~![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))))))),
% 12.13/8.17 inference(transitivity,[status(thm)],[5499, 5497])).
% 12.13/8.17 tff(5501,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5502,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 12.13/8.17 tff(5503,plain,
% 12.13/8.17 (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5502, 5492, 616])).
% 12.13/8.17 tff(5504,plain,
% 12.13/8.17 (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 12.13/8.17 inference(tautology,[status(thm)],[])).
% 12.13/8.17 tff(5505,plain,
% 12.13/8.17 ((~v1(constB65)) | (~v102(constB65))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5504, 5451])).
% 12.13/8.17 tff(5506,plain,
% 12.13/8.17 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 12.13/8.17 inference(tautology,[status(thm)],[])).
% 12.13/8.17 tff(5507,plain,
% 12.13/8.17 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5506, 5505])).
% 12.13/8.17 tff(5508,plain,
% 12.13/8.17 (~v101(constB65)),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5507, 5503])).
% 12.13/8.17 tff(5509,plain,
% 12.13/8.17 (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 12.13/8.17 inference(tautology,[status(thm)],[])).
% 12.13/8.17 tff(5510,plain,
% 12.13/8.17 ((~v101(constB65)) | (~v110(constB65))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5509, 5508])).
% 12.13/8.17 tff(5511,plain,
% 12.13/8.17 ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 12.13/8.17 inference(tautology,[status(thm)],[])).
% 12.13/8.17 tff(5512,plain,
% 12.13/8.17 (~v100(constB65)),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5511, 5510, 5496])).
% 12.13/8.17 tff(5513,plain,
% 12.13/8.17 (((~![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))))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5514,plain,
% 12.13/8.17 ((~![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))))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5515,plain,
% 12.13/8.17 ((~![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)))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 12.13/8.17 tff(5516,plain,
% 12.13/8.17 (v100(constB65) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5515, 5492, 645])).
% 12.13/8.17 tff(5517,plain,
% 12.13/8.17 (![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5516, 5512])).
% 12.13/8.17 tff(5518,plain,
% 12.13/8.17 (((~![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)))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5519,plain,
% 12.13/8.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5520,plain,
% 12.13/8.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 12.13/8.17 tff(5521,plain,
% 12.13/8.17 (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5520, 579, 5517])).
% 12.13/8.17 tff(5522,plain,
% 12.13/8.17 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5523,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63')).
% 12.13/8.17 tff(5524,plain,
% 12.13/8.17 (nextState(constB63, constB64)),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 12.13/8.17 tff(5525,plain,
% 12.13/8.17 (((~![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))))))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5526,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5527,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 12.13/8.17 tff(5528,plain,
% 12.13/8.17 (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5527, 5524, 596])).
% 12.13/8.17 tff(5529,plain,
% 12.13/8.17 (((~![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))))))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5530,plain,
% 12.13/8.17 (((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5531,plain,
% 12.13/8.17 (((~![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)))))))),
% 12.13/8.17 inference(monotonicity,[status(thm)],[5530])).
% 12.13/8.17 tff(5532,plain,
% 12.13/8.17 (((~![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))))))),
% 12.13/8.17 inference(transitivity,[status(thm)],[5531, 5529])).
% 12.13/8.17 tff(5533,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5534,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5533, 5532])).
% 12.13/8.17 tff(5535,plain,
% 12.13/8.17 (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5534, 5524, 616])).
% 12.13/8.17 tff(5536,plain,
% 12.13/8.17 (((~![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)))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5537,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5538,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 12.13/8.17 tff(5539,plain,
% 12.13/8.17 ((~v102(constB64)) <=> v104(constB64)),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5538, 5524, 678])).
% 12.13/8.17 tff(5540,plain,
% 12.13/8.17 (((~![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)))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5541,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 12.13/8.17 inference(quant_inst,[status(thm)],[])).
% 12.13/8.17 tff(5542,plain,
% 12.13/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63))),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 12.13/8.17 tff(5543,plain,
% 12.13/8.17 (v104(constB64) <=> v1(constB63)),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5542, 5524, 692])).
% 12.13/8.17 tff(5544,plain,
% 12.13/8.17 ((~v1(constB63)) <=> (~v1(constB63))),
% 12.13/8.17 inference(rewrite,[status(thm)],[])).
% 12.13/8.17 tff(5545,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63')).
% 12.13/8.17 tff(5546,plain,
% 12.13/8.17 (~v1(constB63)),
% 12.13/8.17 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 12.13/8.17 tff(5547,plain,
% 12.13/8.17 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64)) | v1(constB63)),
% 12.13/8.17 inference(tautology,[status(thm)],[])).
% 12.13/8.17 tff(5548,plain,
% 12.13/8.17 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64))),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5547, 5546])).
% 12.13/8.17 tff(5549,plain,
% 12.13/8.17 (~v104(constB64)),
% 12.13/8.17 inference(unit_resolution,[status(thm)],[5548, 5543])).
% 12.17/8.17 tff(5550,plain,
% 12.17/8.17 ((~((~v102(constB64)) <=> v104(constB64))) | v102(constB64) | v104(constB64)),
% 12.17/8.17 inference(tautology,[status(thm)],[])).
% 12.17/8.17 tff(5551,plain,
% 12.17/8.17 (v102(constB64)),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5550, 5549, 5539])).
% 12.17/8.17 tff(5552,plain,
% 12.17/8.17 (v1(constB64) <=> v1(constB64)),
% 12.17/8.17 inference(rewrite,[status(thm)],[])).
% 12.17/8.17 tff(5553,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64')).
% 12.17/8.17 tff(5554,plain,
% 12.17/8.17 (v1(constB64)),
% 12.17/8.17 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 12.17/8.17 tff(5555,plain,
% 12.17/8.17 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v1(constB64)) | (~v102(constB64))),
% 12.17/8.17 inference(tautology,[status(thm)],[])).
% 12.17/8.17 tff(5556,plain,
% 12.17/8.17 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v102(constB64))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5555, 5554])).
% 12.17/8.17 tff(5557,plain,
% 12.17/8.17 (~((~v1(constB64)) | (~v102(constB64)))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5556, 5551])).
% 12.17/8.17 tff(5558,plain,
% 12.17/8.17 ((~(v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))) | v101(constB64) | ((~v1(constB64)) | (~v102(constB64)))),
% 12.17/8.17 inference(tautology,[status(thm)],[])).
% 12.17/8.17 tff(5559,plain,
% 12.17/8.17 (v101(constB64)),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5558, 5557, 5535])).
% 12.17/8.17 tff(5560,plain,
% 12.17/8.17 (((~![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)))),
% 12.17/8.17 inference(rewrite,[status(thm)],[])).
% 12.17/8.17 tff(5561,plain,
% 12.17/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 12.17/8.17 inference(quant_inst,[status(thm)],[])).
% 12.17/8.17 tff(5562,plain,
% 12.17/8.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63))),
% 12.17/8.17 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 12.17/8.17 tff(5563,plain,
% 12.17/8.17 (v110(constB64) <=> v108(constB63)),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5562, 5524, 722])).
% 12.17/8.17 tff(5564,plain,
% 12.17/8.17 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB63) <=> (v111(constB63) | v112(constB63)))),
% 12.17/8.17 inference(quant_inst,[status(thm)],[])).
% 12.17/8.17 tff(5565,plain,
% 12.17/8.17 (v108(constB63) <=> (v111(constB63) | v112(constB63))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5564, 733])).
% 12.17/8.17 tff(5566,plain,
% 12.17/8.17 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))),
% 12.17/8.17 inference(quant_inst,[status(thm)],[])).
% 12.17/8.17 tff(5567,plain,
% 12.17/8.17 (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63))))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5566, 745])).
% 12.17/8.17 tff(5568,plain,
% 12.17/8.17 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB63) <=> (v114(constB63) | v125(constB63)))),
% 12.17/8.17 inference(quant_inst,[status(thm)],[])).
% 12.17/8.17 tff(5569,plain,
% 12.17/8.17 (v113(constB63) <=> (v114(constB63) | v125(constB63))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5568, 754])).
% 12.17/8.17 tff(5570,plain,
% 12.17/8.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB63) <=> (v115(constB63) | v124(constB63)))),
% 12.17/8.17 inference(quant_inst,[status(thm)],[])).
% 12.17/8.17 tff(5571,plain,
% 12.17/8.17 (v114(constB63) <=> (v115(constB63) | v124(constB63))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5570, 763])).
% 12.17/8.17 tff(5572,plain,
% 12.17/8.17 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB63) <=> (v116(constB63) | v123(constB63)))),
% 12.17/8.17 inference(quant_inst,[status(thm)],[])).
% 12.17/8.17 tff(5573,plain,
% 12.17/8.17 (v115(constB63) <=> (v116(constB63) | v123(constB63))),
% 12.17/8.17 inference(unit_resolution,[status(thm)],[5572, 772])).
% 12.17/8.17 tff(5574,plain,
% 12.17/8.17 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB63) <=> (v117(constB63) | v122(constB63)))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5575,plain,
% 12.17/8.18 (v116(constB63) <=> (v117(constB63) | v122(constB63))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5574, 885])).
% 12.17/8.18 tff(5576,plain,
% 12.17/8.18 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB63) <=> (v118(constB63) | v121(constB63)))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5577,plain,
% 12.17/8.18 (v117(constB63) <=> (v118(constB63) | v121(constB63))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5576, 1000])).
% 12.17/8.18 tff(5578,plain,
% 12.17/8.18 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB63) <=> (v119(constB63) | v120(constB63)))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5579,plain,
% 12.17/8.18 (v118(constB63) <=> (v119(constB63) | v120(constB63))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5578, 1117])).
% 12.17/8.18 tff(5580,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5581,plain,
% 12.17/8.18 ((v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0))))) <=> (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5582,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(monotonicity,[status(thm)],[5581])).
% 12.17/8.18 tff(5583,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(transitivity,[status(thm)],[5582, 5580])).
% 12.17/8.18 tff(5584,plain,
% 12.17/8.18 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5585,plain,
% 12.17/8.18 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 12.17/8.18 tff(5586,plain,
% 12.17/8.18 (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5585, 1132])).
% 12.17/8.18 tff(5587,plain,
% 12.17/8.18 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5588,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62')).
% 12.17/8.18 tff(5589,plain,
% 12.17/8.18 (nextState(constB62, constB63)),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5588, 5587])).
% 12.17/8.18 tff(5590,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5591,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5592,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 12.17/8.18 tff(5593,plain,
% 12.17/8.18 (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5592, 5589, 596])).
% 12.17/8.18 tff(5594,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5595,plain,
% 12.17/8.18 (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5596,plain,
% 12.17/8.18 (((~![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)))))))),
% 12.17/8.18 inference(monotonicity,[status(thm)],[5595])).
% 12.17/8.18 tff(5597,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(transitivity,[status(thm)],[5596, 5594])).
% 12.17/8.18 tff(5598,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5599,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5598, 5597])).
% 12.17/8.18 tff(5600,plain,
% 12.17/8.18 (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5599, 5589, 616])).
% 12.17/8.18 tff(5601,plain,
% 12.17/8.18 (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 12.17/8.18 inference(tautology,[status(thm)],[])).
% 12.17/8.18 tff(5602,plain,
% 12.17/8.18 ((~v1(constB63)) | (~v102(constB63))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5601, 5546])).
% 12.17/8.18 tff(5603,plain,
% 12.17/8.18 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 12.17/8.18 inference(tautology,[status(thm)],[])).
% 12.17/8.18 tff(5604,plain,
% 12.17/8.18 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5603, 5602])).
% 12.17/8.18 tff(5605,plain,
% 12.17/8.18 (~v101(constB63)),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5604, 5600])).
% 12.17/8.18 tff(5606,plain,
% 12.17/8.18 (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 12.17/8.18 inference(tautology,[status(thm)],[])).
% 12.17/8.18 tff(5607,plain,
% 12.17/8.18 ((~v101(constB63)) | (~v110(constB63))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5606, 5605])).
% 12.17/8.18 tff(5608,plain,
% 12.17/8.18 ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 12.17/8.18 inference(tautology,[status(thm)],[])).
% 12.17/8.18 tff(5609,plain,
% 12.17/8.18 (~v100(constB63)),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5608, 5607, 5593])).
% 12.17/8.18 tff(5610,plain,
% 12.17/8.18 (((~![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))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5611,plain,
% 12.17/8.18 ((~![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))))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5612,plain,
% 12.17/8.18 ((~![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)))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5611, 5610])).
% 12.17/8.18 tff(5613,plain,
% 12.17/8.18 (v100(constB63) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5612, 5589, 645])).
% 12.17/8.18 tff(5614,plain,
% 12.17/8.18 (![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5613, 5609])).
% 12.17/8.18 tff(5615,plain,
% 12.17/8.18 (((~![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)))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5616,plain,
% 12.17/8.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5617,plain,
% 12.17/8.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 12.17/8.18 tff(5618,plain,
% 12.17/8.18 (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5617, 579, 5614])).
% 12.17/8.18 tff(5619,plain,
% 12.17/8.18 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5620,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61')).
% 12.17/8.18 tff(5621,plain,
% 12.17/8.18 (nextState(constB61, constB62)),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 12.17/8.18 tff(5622,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5623,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5624,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 12.17/8.18 tff(5625,plain,
% 12.17/8.18 (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5624, 5621, 596])).
% 12.17/8.18 tff(5626,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5627,plain,
% 12.17/8.18 (((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 12.17/8.18 inference(rewrite,[status(thm)],[])).
% 12.17/8.18 tff(5628,plain,
% 12.17/8.18 (((~![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)))))))),
% 12.17/8.18 inference(monotonicity,[status(thm)],[5627])).
% 12.17/8.18 tff(5629,plain,
% 12.17/8.18 (((~![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))))))),
% 12.17/8.18 inference(transitivity,[status(thm)],[5628, 5626])).
% 12.17/8.18 tff(5630,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))),
% 12.17/8.18 inference(quant_inst,[status(thm)],[])).
% 12.17/8.18 tff(5631,plain,
% 12.17/8.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))),
% 12.17/8.18 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 12.17/8.18 tff(5632,plain,
% 12.17/8.18 (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))),
% 12.17/8.18 inference(unit_resolution,[status(thm)],[5631, 5621, 616])).
% 12.17/8.18 tff(5633,plain,
% 12.17/8.18 (((~![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)))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5634,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5635,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 12.17/8.19 tff(5636,plain,
% 12.17/8.19 ((~v102(constB62)) <=> v104(constB62)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5635, 5621, 678])).
% 12.17/8.19 tff(5637,plain,
% 12.17/8.19 (((~![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)))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5638,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5639,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 12.17/8.19 tff(5640,plain,
% 12.17/8.19 (v104(constB62) <=> v1(constB61)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5639, 5621, 692])).
% 12.17/8.19 tff(5641,plain,
% 12.17/8.19 ((~v1(constB61)) <=> (~v1(constB61))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5642,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61')).
% 12.17/8.19 tff(5643,plain,
% 12.17/8.19 (~v1(constB61)),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 12.17/8.19 tff(5644,plain,
% 12.17/8.19 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62)) | v1(constB61)),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5645,plain,
% 12.17/8.19 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5644, 5643])).
% 12.17/8.19 tff(5646,plain,
% 12.17/8.19 (~v104(constB62)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5645, 5640])).
% 12.17/8.19 tff(5647,plain,
% 12.17/8.19 ((~((~v102(constB62)) <=> v104(constB62))) | v102(constB62) | v104(constB62)),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5648,plain,
% 12.17/8.19 (v102(constB62)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5647, 5646, 5636])).
% 12.17/8.19 tff(5649,plain,
% 12.17/8.19 (v1(constB62) <=> v1(constB62)),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5650,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62')).
% 12.17/8.19 tff(5651,plain,
% 12.17/8.19 (v1(constB62)),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 12.17/8.19 tff(5652,plain,
% 12.17/8.19 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v1(constB62)) | (~v102(constB62))),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5653,plain,
% 12.17/8.19 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v102(constB62))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5652, 5651])).
% 12.17/8.19 tff(5654,plain,
% 12.17/8.19 (~((~v1(constB62)) | (~v102(constB62)))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5653, 5648])).
% 12.17/8.19 tff(5655,plain,
% 12.17/8.19 ((~(v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))) | v101(constB62) | ((~v1(constB62)) | (~v102(constB62)))),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5656,plain,
% 12.17/8.19 (v101(constB62)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5655, 5654, 5632])).
% 12.17/8.19 tff(5657,plain,
% 12.17/8.19 (((~![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)))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5658,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5659,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 12.17/8.19 tff(5660,plain,
% 12.17/8.19 (v110(constB62) <=> v108(constB61)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5659, 5621, 722])).
% 12.17/8.19 tff(5661,plain,
% 12.17/8.19 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB61) <=> (v111(constB61) | v112(constB61)))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5662,plain,
% 12.17/8.19 (v108(constB61) <=> (v111(constB61) | v112(constB61))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5661, 733])).
% 12.17/8.19 tff(5663,plain,
% 12.17/8.19 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5664,plain,
% 12.17/8.19 (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61))))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5663, 745])).
% 12.17/8.19 tff(5665,plain,
% 12.17/8.19 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB61) <=> (v114(constB61) | v125(constB61)))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5666,plain,
% 12.17/8.19 (v113(constB61) <=> (v114(constB61) | v125(constB61))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5665, 754])).
% 12.17/8.19 tff(5667,plain,
% 12.17/8.19 (((~![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)))))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5668,plain,
% 12.17/8.19 ((v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2))))) <=> (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5669,plain,
% 12.17/8.19 (((~![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)))))),
% 12.17/8.19 inference(monotonicity,[status(thm)],[5668])).
% 12.17/8.19 tff(5670,plain,
% 12.17/8.19 (((~![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)))))),
% 12.17/8.19 inference(transitivity,[status(thm)],[5669, 5667])).
% 12.17/8.19 tff(5671,plain,
% 12.17/8.19 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5672,plain,
% 12.17/8.19 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 12.17/8.19 tff(5673,plain,
% 12.17/8.19 (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5672, 3458])).
% 12.17/8.19 tff(5674,plain,
% 12.17/8.19 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5675,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60')).
% 12.17/8.19 tff(5676,plain,
% 12.17/8.19 (nextState(constB60, constB61)),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5675, 5674])).
% 12.17/8.19 tff(5677,plain,
% 12.17/8.19 (((~![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))))))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5678,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5679,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 12.17/8.19 tff(5680,plain,
% 12.17/8.19 (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5679, 5676, 596])).
% 12.17/8.19 tff(5681,plain,
% 12.17/8.19 (((~![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))))))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5682,plain,
% 12.17/8.19 (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5683,plain,
% 12.17/8.19 (((~![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)))))))),
% 12.17/8.19 inference(monotonicity,[status(thm)],[5682])).
% 12.17/8.19 tff(5684,plain,
% 12.17/8.19 (((~![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))))))),
% 12.17/8.19 inference(transitivity,[status(thm)],[5683, 5681])).
% 12.17/8.19 tff(5685,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5686,plain,
% 12.17/8.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 12.17/8.19 tff(5687,plain,
% 12.17/8.19 (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5686, 5676, 616])).
% 12.17/8.19 tff(5688,plain,
% 12.17/8.19 (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5689,plain,
% 12.17/8.19 ((~v1(constB61)) | (~v102(constB61))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5688, 5643])).
% 12.17/8.19 tff(5690,plain,
% 12.17/8.19 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5691,plain,
% 12.17/8.19 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5690, 5689])).
% 12.17/8.19 tff(5692,plain,
% 12.17/8.19 (~v101(constB61)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5691, 5687])).
% 12.17/8.19 tff(5693,plain,
% 12.17/8.19 (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5694,plain,
% 12.17/8.19 ((~v101(constB61)) | (~v110(constB61))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5693, 5692])).
% 12.17/8.19 tff(5695,plain,
% 12.17/8.19 ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 12.17/8.19 inference(tautology,[status(thm)],[])).
% 12.17/8.19 tff(5696,plain,
% 12.17/8.19 (~v100(constB61)),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5695, 5694, 5680])).
% 12.17/8.19 tff(5697,plain,
% 12.17/8.19 (((~![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))))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5698,plain,
% 12.17/8.19 ((~![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))))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5699,plain,
% 12.17/8.19 ((~![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)))),
% 12.17/8.19 inference(modus_ponens,[status(thm)],[5698, 5697])).
% 12.17/8.19 tff(5700,plain,
% 12.17/8.19 (v100(constB61) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5699, 5676, 645])).
% 12.17/8.19 tff(5701,plain,
% 12.17/8.19 (![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 12.17/8.19 inference(unit_resolution,[status(thm)],[5700, 5696])).
% 12.17/8.19 tff(5702,plain,
% 12.17/8.19 (((~![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)))),
% 12.17/8.19 inference(rewrite,[status(thm)],[])).
% 12.17/8.19 tff(5703,plain,
% 12.17/8.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))),
% 12.17/8.19 inference(quant_inst,[status(thm)],[])).
% 12.17/8.19 tff(5704,plain,
% 12.17/8.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 12.17/8.20 tff(5705,plain,
% 12.17/8.20 (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5704, 579, 5701])).
% 12.17/8.20 tff(5706,plain,
% 12.17/8.20 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5707,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59')).
% 12.17/8.20 tff(5708,plain,
% 12.17/8.20 (nextState(constB59, constB60)),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 12.17/8.20 tff(5709,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5710,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5711,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 12.17/8.20 tff(5712,plain,
% 12.17/8.20 (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5711, 5708, 596])).
% 12.17/8.20 tff(5713,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5714,plain,
% 12.17/8.20 (((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5715,plain,
% 12.17/8.20 (((~![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)))))))),
% 12.17/8.20 inference(monotonicity,[status(thm)],[5714])).
% 12.17/8.20 tff(5716,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(transitivity,[status(thm)],[5715, 5713])).
% 12.17/8.20 tff(5717,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5718,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5717, 5716])).
% 12.17/8.20 tff(5719,plain,
% 12.17/8.20 (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5718, 5708, 616])).
% 12.17/8.20 tff(5720,plain,
% 12.17/8.20 (((~![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)))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5721,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5722,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5721, 5720])).
% 12.17/8.20 tff(5723,plain,
% 12.17/8.20 ((~v102(constB60)) <=> v104(constB60)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5722, 5708, 678])).
% 12.17/8.20 tff(5724,plain,
% 12.17/8.20 (((~![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)))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5725,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5726,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5725, 5724])).
% 12.17/8.20 tff(5727,plain,
% 12.17/8.20 (v104(constB60) <=> v1(constB59)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5726, 5708, 692])).
% 12.17/8.20 tff(5728,plain,
% 12.17/8.20 ((~v1(constB59)) <=> (~v1(constB59))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5729,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59')).
% 12.17/8.20 tff(5730,plain,
% 12.17/8.20 (~v1(constB59)),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5729, 5728])).
% 12.17/8.20 tff(5731,plain,
% 12.17/8.20 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60)) | v1(constB59)),
% 12.17/8.20 inference(tautology,[status(thm)],[])).
% 12.17/8.20 tff(5732,plain,
% 12.17/8.20 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5731, 5730])).
% 12.17/8.20 tff(5733,plain,
% 12.17/8.20 (~v104(constB60)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5732, 5727])).
% 12.17/8.20 tff(5734,plain,
% 12.17/8.20 ((~((~v102(constB60)) <=> v104(constB60))) | v102(constB60) | v104(constB60)),
% 12.17/8.20 inference(tautology,[status(thm)],[])).
% 12.17/8.20 tff(5735,plain,
% 12.17/8.20 (v102(constB60)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5734, 5733, 5723])).
% 12.17/8.20 tff(5736,plain,
% 12.17/8.20 (v1(constB60) <=> v1(constB60)),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5737,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60')).
% 12.17/8.20 tff(5738,plain,
% 12.17/8.20 (v1(constB60)),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5737, 5736])).
% 12.17/8.20 tff(5739,plain,
% 12.17/8.20 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v1(constB60)) | (~v102(constB60))),
% 12.17/8.20 inference(tautology,[status(thm)],[])).
% 12.17/8.20 tff(5740,plain,
% 12.17/8.20 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v102(constB60))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5739, 5738])).
% 12.17/8.20 tff(5741,plain,
% 12.17/8.20 (~((~v1(constB60)) | (~v102(constB60)))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5740, 5735])).
% 12.17/8.20 tff(5742,plain,
% 12.17/8.20 ((~(v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))) | v101(constB60) | ((~v1(constB60)) | (~v102(constB60)))),
% 12.17/8.20 inference(tautology,[status(thm)],[])).
% 12.17/8.20 tff(5743,plain,
% 12.17/8.20 (v101(constB60)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5742, 5741, 5719])).
% 12.17/8.20 tff(5744,plain,
% 12.17/8.20 (((~![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)))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5745,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5746,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5745, 5744])).
% 12.17/8.20 tff(5747,plain,
% 12.17/8.20 (v110(constB60) <=> v108(constB59)),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5746, 5708, 722])).
% 12.17/8.20 tff(5748,plain,
% 12.17/8.20 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB59) <=> (v111(constB59) | v112(constB59)))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5749,plain,
% 12.17/8.20 (v108(constB59) <=> (v111(constB59) | v112(constB59))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5748, 733])).
% 12.17/8.20 tff(5750,plain,
% 12.17/8.20 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5751,plain,
% 12.17/8.20 (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59))))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5750, 745])).
% 12.17/8.20 tff(5752,plain,
% 12.17/8.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB59) <=> (v114(constB59) | v125(constB59)))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5753,plain,
% 12.17/8.20 (v113(constB59) <=> (v114(constB59) | v125(constB59))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5752, 754])).
% 12.17/8.20 tff(5754,plain,
% 12.17/8.20 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB59) <=> (v115(constB59) | v124(constB59)))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5755,plain,
% 12.17/8.20 (v114(constB59) <=> (v115(constB59) | v124(constB59))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5754, 763])).
% 12.17/8.20 tff(5756,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5757,plain,
% 12.17/8.20 ((v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2))))) <=> (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5758,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(monotonicity,[status(thm)],[5757])).
% 12.17/8.20 tff(5759,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(transitivity,[status(thm)],[5758, 5756])).
% 12.17/8.20 tff(5760,plain,
% 12.17/8.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5761,plain,
% 12.17/8.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 12.17/8.20 tff(5762,plain,
% 12.17/8.20 (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5761, 2651])).
% 12.17/8.20 tff(5763,plain,
% 12.17/8.20 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5764,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58')).
% 12.17/8.20 tff(5765,plain,
% 12.17/8.20 (nextState(constB58, constB59)),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5764, 5763])).
% 12.17/8.20 tff(5766,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5767,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 12.17/8.20 inference(quant_inst,[status(thm)],[])).
% 12.17/8.20 tff(5768,plain,
% 12.17/8.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 12.17/8.20 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 12.17/8.20 tff(5769,plain,
% 12.17/8.20 (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 12.17/8.20 inference(unit_resolution,[status(thm)],[5768, 5765, 596])).
% 12.17/8.20 tff(5770,plain,
% 12.17/8.20 (((~![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))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5771,plain,
% 12.17/8.20 (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 12.17/8.20 inference(rewrite,[status(thm)],[])).
% 12.17/8.20 tff(5772,plain,
% 12.17/8.20 (((~![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)))))))),
% 12.17/8.21 inference(monotonicity,[status(thm)],[5771])).
% 12.17/8.21 tff(5773,plain,
% 12.17/8.21 (((~![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))))))),
% 12.17/8.21 inference(transitivity,[status(thm)],[5772, 5770])).
% 12.17/8.21 tff(5774,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5775,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 12.17/8.21 tff(5776,plain,
% 12.17/8.21 (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5775, 5765, 616])).
% 12.17/8.21 tff(5777,plain,
% 12.17/8.21 (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5778,plain,
% 12.17/8.21 ((~v1(constB59)) | (~v102(constB59))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5777, 5730])).
% 12.17/8.21 tff(5779,plain,
% 12.17/8.21 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5780,plain,
% 12.17/8.21 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5779, 5778])).
% 12.17/8.21 tff(5781,plain,
% 12.17/8.21 (~v101(constB59)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5780, 5776])).
% 12.17/8.21 tff(5782,plain,
% 12.17/8.21 (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5783,plain,
% 12.17/8.21 ((~v101(constB59)) | (~v110(constB59))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5782, 5781])).
% 12.17/8.21 tff(5784,plain,
% 12.17/8.21 ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5785,plain,
% 12.17/8.21 (~v100(constB59)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5784, 5783, 5769])).
% 12.17/8.21 tff(5786,plain,
% 12.17/8.21 (((~![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))))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5787,plain,
% 12.17/8.21 ((~![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))))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5788,plain,
% 12.17/8.21 ((~![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)))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 12.17/8.21 tff(5789,plain,
% 12.17/8.21 (v100(constB59) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5788, 5765, 645])).
% 12.17/8.21 tff(5790,plain,
% 12.17/8.21 (![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5789, 5785])).
% 12.17/8.21 tff(5791,plain,
% 12.17/8.21 (((~![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)))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5792,plain,
% 12.17/8.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5793,plain,
% 12.17/8.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 12.17/8.21 tff(5794,plain,
% 12.17/8.21 (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5793, 579, 5790])).
% 12.17/8.21 tff(5795,plain,
% 12.17/8.21 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5796,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57')).
% 12.17/8.21 tff(5797,plain,
% 12.17/8.21 (nextState(constB57, constB58)),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 12.17/8.21 tff(5798,plain,
% 12.17/8.21 (((~![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))))))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5799,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5800,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 12.17/8.21 tff(5801,plain,
% 12.17/8.21 (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5800, 5797, 596])).
% 12.17/8.21 tff(5802,plain,
% 12.17/8.21 (((~![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))))))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5803,plain,
% 12.17/8.21 (((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5804,plain,
% 12.17/8.21 (((~![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)))))))),
% 12.17/8.21 inference(monotonicity,[status(thm)],[5803])).
% 12.17/8.21 tff(5805,plain,
% 12.17/8.21 (((~![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))))))),
% 12.17/8.21 inference(transitivity,[status(thm)],[5804, 5802])).
% 12.17/8.21 tff(5806,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5807,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 12.17/8.21 tff(5808,plain,
% 12.17/8.21 (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5807, 5797, 616])).
% 12.17/8.21 tff(5809,plain,
% 12.17/8.21 (((~![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)))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5810,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5811,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 12.17/8.21 tff(5812,plain,
% 12.17/8.21 ((~v102(constB58)) <=> v104(constB58)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5811, 5797, 678])).
% 12.17/8.21 tff(5813,plain,
% 12.17/8.21 (((~![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)))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5814,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5815,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 12.17/8.21 tff(5816,plain,
% 12.17/8.21 (v104(constB58) <=> v1(constB57)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5815, 5797, 692])).
% 12.17/8.21 tff(5817,plain,
% 12.17/8.21 ((~v1(constB57)) <=> (~v1(constB57))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5818,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57')).
% 12.17/8.21 tff(5819,plain,
% 12.17/8.21 (~v1(constB57)),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 12.17/8.21 tff(5820,plain,
% 12.17/8.21 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58)) | v1(constB57)),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5821,plain,
% 12.17/8.21 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5820, 5819])).
% 12.17/8.21 tff(5822,plain,
% 12.17/8.21 (~v104(constB58)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5821, 5816])).
% 12.17/8.21 tff(5823,plain,
% 12.17/8.21 ((~((~v102(constB58)) <=> v104(constB58))) | v102(constB58) | v104(constB58)),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5824,plain,
% 12.17/8.21 (v102(constB58)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5823, 5822, 5812])).
% 12.17/8.21 tff(5825,plain,
% 12.17/8.21 (v1(constB58) <=> v1(constB58)),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5826,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58')).
% 12.17/8.21 tff(5827,plain,
% 12.17/8.21 (v1(constB58)),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5826, 5825])).
% 12.17/8.21 tff(5828,plain,
% 12.17/8.21 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v1(constB58)) | (~v102(constB58))),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5829,plain,
% 12.17/8.21 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v102(constB58))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5828, 5827])).
% 12.17/8.21 tff(5830,plain,
% 12.17/8.21 (~((~v1(constB58)) | (~v102(constB58)))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5829, 5824])).
% 12.17/8.21 tff(5831,plain,
% 12.17/8.21 ((~(v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))) | v101(constB58) | ((~v1(constB58)) | (~v102(constB58)))),
% 12.17/8.21 inference(tautology,[status(thm)],[])).
% 12.17/8.21 tff(5832,plain,
% 12.17/8.21 (v101(constB58)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5831, 5830, 5808])).
% 12.17/8.21 tff(5833,plain,
% 12.17/8.21 (((~![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)))),
% 12.17/8.21 inference(rewrite,[status(thm)],[])).
% 12.17/8.21 tff(5834,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5835,plain,
% 12.17/8.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57))),
% 12.17/8.21 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 12.17/8.21 tff(5836,plain,
% 12.17/8.21 (v110(constB58) <=> v108(constB57)),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5835, 5797, 722])).
% 12.17/8.21 tff(5837,plain,
% 12.17/8.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB57) <=> (v111(constB57) | v112(constB57)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5838,plain,
% 12.17/8.21 (v108(constB57) <=> (v111(constB57) | v112(constB57))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5837, 733])).
% 12.17/8.21 tff(5839,plain,
% 12.17/8.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5840,plain,
% 12.17/8.21 (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57))))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5839, 745])).
% 12.17/8.21 tff(5841,plain,
% 12.17/8.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB57) <=> (v114(constB57) | v125(constB57)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5842,plain,
% 12.17/8.21 (v113(constB57) <=> (v114(constB57) | v125(constB57))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5841, 754])).
% 12.17/8.21 tff(5843,plain,
% 12.17/8.21 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB57) <=> (v115(constB57) | v124(constB57)))),
% 12.17/8.21 inference(quant_inst,[status(thm)],[])).
% 12.17/8.21 tff(5844,plain,
% 12.17/8.21 (v114(constB57) <=> (v115(constB57) | v124(constB57))),
% 12.17/8.21 inference(unit_resolution,[status(thm)],[5843, 763])).
% 12.17/8.21 tff(5845,plain,
% 12.17/8.21 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB57) <=> (v116(constB57) | v123(constB57)))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5846,plain,
% 12.17/8.22 (v115(constB57) <=> (v116(constB57) | v123(constB57))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5845, 772])).
% 12.17/8.22 tff(5847,plain,
% 12.17/8.22 (((~![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)))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5848,plain,
% 12.17/8.22 ((v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2))))) <=> (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5849,plain,
% 12.17/8.22 (((~![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)))))),
% 12.17/8.22 inference(monotonicity,[status(thm)],[5848])).
% 12.17/8.22 tff(5850,plain,
% 12.17/8.22 (((~![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)))))),
% 12.17/8.22 inference(transitivity,[status(thm)],[5849, 5847])).
% 12.17/8.22 tff(5851,plain,
% 12.17/8.22 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5852,plain,
% 12.17/8.22 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 12.17/8.22 tff(5853,plain,
% 12.17/8.22 (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5852, 787])).
% 12.17/8.22 tff(5854,plain,
% 12.17/8.22 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5855,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56')).
% 12.17/8.22 tff(5856,plain,
% 12.17/8.22 (nextState(constB56, constB57)),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 12.17/8.22 tff(5857,plain,
% 12.17/8.22 (((~![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))))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5858,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5859,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 12.17/8.22 tff(5860,plain,
% 12.17/8.22 (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5859, 5856, 596])).
% 12.17/8.22 tff(5861,plain,
% 12.17/8.22 (((~![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))))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5862,plain,
% 12.17/8.22 (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5863,plain,
% 12.17/8.22 (((~![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)))))))),
% 12.17/8.22 inference(monotonicity,[status(thm)],[5862])).
% 12.17/8.22 tff(5864,plain,
% 12.17/8.22 (((~![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))))))),
% 12.17/8.22 inference(transitivity,[status(thm)],[5863, 5861])).
% 12.17/8.22 tff(5865,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5866,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 12.17/8.22 tff(5867,plain,
% 12.17/8.22 (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5866, 5856, 616])).
% 12.17/8.22 tff(5868,plain,
% 12.17/8.22 (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5869,plain,
% 12.17/8.22 ((~v1(constB57)) | (~v102(constB57))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5868, 5819])).
% 12.17/8.22 tff(5870,plain,
% 12.17/8.22 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5871,plain,
% 12.17/8.22 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5870, 5869])).
% 12.17/8.22 tff(5872,plain,
% 12.17/8.22 (~v101(constB57)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5871, 5867])).
% 12.17/8.22 tff(5873,plain,
% 12.17/8.22 (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5874,plain,
% 12.17/8.22 ((~v101(constB57)) | (~v110(constB57))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5873, 5872])).
% 12.17/8.22 tff(5875,plain,
% 12.17/8.22 ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5876,plain,
% 12.17/8.22 (~v100(constB57)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5875, 5874, 5860])).
% 12.17/8.22 tff(5877,plain,
% 12.17/8.22 (((~![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))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5878,plain,
% 12.17/8.22 ((~![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))))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5879,plain,
% 12.17/8.22 ((~![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)))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 12.17/8.22 tff(5880,plain,
% 12.17/8.22 (v100(constB57) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5879, 5856, 645])).
% 12.17/8.22 tff(5881,plain,
% 12.17/8.22 (![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5880, 5876])).
% 12.17/8.22 tff(5882,plain,
% 12.17/8.22 (((~![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)))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5883,plain,
% 12.17/8.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5884,plain,
% 12.17/8.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5883, 5882])).
% 12.17/8.22 tff(5885,plain,
% 12.17/8.22 (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5884, 579, 5881])).
% 12.17/8.22 tff(5886,plain,
% 12.17/8.22 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5887,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55')).
% 12.17/8.22 tff(5888,plain,
% 12.17/8.22 (nextState(constB55, constB56)),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 12.17/8.22 tff(5889,plain,
% 12.17/8.22 (((~![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))))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5890,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5891,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5890, 5889])).
% 12.17/8.22 tff(5892,plain,
% 12.17/8.22 (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5891, 5888, 596])).
% 12.17/8.22 tff(5893,plain,
% 12.17/8.22 (((~![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))))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5894,plain,
% 12.17/8.22 (((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5895,plain,
% 12.17/8.22 (((~![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)))))))),
% 12.17/8.22 inference(monotonicity,[status(thm)],[5894])).
% 12.17/8.22 tff(5896,plain,
% 12.17/8.22 (((~![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))))))),
% 12.17/8.22 inference(transitivity,[status(thm)],[5895, 5893])).
% 12.17/8.22 tff(5897,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5898,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5897, 5896])).
% 12.17/8.22 tff(5899,plain,
% 12.17/8.22 (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5898, 5888, 616])).
% 12.17/8.22 tff(5900,plain,
% 12.17/8.22 (((~![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)))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5901,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5902,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5901, 5900])).
% 12.17/8.22 tff(5903,plain,
% 12.17/8.22 ((~v102(constB56)) <=> v104(constB56)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5902, 5888, 678])).
% 12.17/8.22 tff(5904,plain,
% 12.17/8.22 (((~![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)))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5905,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5906,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 12.17/8.22 tff(5907,plain,
% 12.17/8.22 (v104(constB56) <=> v1(constB55)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5906, 5888, 692])).
% 12.17/8.22 tff(5908,plain,
% 12.17/8.22 ((~v1(constB55)) <=> (~v1(constB55))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5909,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55')).
% 12.17/8.22 tff(5910,plain,
% 12.17/8.22 (~v1(constB55)),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 12.17/8.22 tff(5911,plain,
% 12.17/8.22 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56)) | v1(constB55)),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5912,plain,
% 12.17/8.22 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5911, 5910])).
% 12.17/8.22 tff(5913,plain,
% 12.17/8.22 (~v104(constB56)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5912, 5907])).
% 12.17/8.22 tff(5914,plain,
% 12.17/8.22 ((~((~v102(constB56)) <=> v104(constB56))) | v102(constB56) | v104(constB56)),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5915,plain,
% 12.17/8.22 (v102(constB56)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5914, 5913, 5903])).
% 12.17/8.22 tff(5916,plain,
% 12.17/8.22 (v1(constB56) <=> v1(constB56)),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5917,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56')).
% 12.17/8.22 tff(5918,plain,
% 12.17/8.22 (v1(constB56)),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 12.17/8.22 tff(5919,plain,
% 12.17/8.22 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v1(constB56)) | (~v102(constB56))),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5920,plain,
% 12.17/8.22 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v102(constB56))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5919, 5918])).
% 12.17/8.22 tff(5921,plain,
% 12.17/8.22 (~((~v1(constB56)) | (~v102(constB56)))),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5920, 5915])).
% 12.17/8.22 tff(5922,plain,
% 12.17/8.22 ((~(v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))) | v101(constB56) | ((~v1(constB56)) | (~v102(constB56)))),
% 12.17/8.22 inference(tautology,[status(thm)],[])).
% 12.17/8.22 tff(5923,plain,
% 12.17/8.22 (v101(constB56)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5922, 5921, 5899])).
% 12.17/8.22 tff(5924,plain,
% 12.17/8.22 (((~![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)))),
% 12.17/8.22 inference(rewrite,[status(thm)],[])).
% 12.17/8.22 tff(5925,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 12.17/8.22 inference(quant_inst,[status(thm)],[])).
% 12.17/8.22 tff(5926,plain,
% 12.17/8.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55))),
% 12.17/8.22 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 12.17/8.22 tff(5927,plain,
% 12.17/8.22 (v110(constB56) <=> v108(constB55)),
% 12.17/8.22 inference(unit_resolution,[status(thm)],[5926, 5888, 722])).
% 12.17/8.23 tff(5928,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB55) <=> (v111(constB55) | v112(constB55)))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5929,plain,
% 12.17/8.23 (v108(constB55) <=> (v111(constB55) | v112(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5928, 733])).
% 12.17/8.23 tff(5930,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5931,plain,
% 12.17/8.23 (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55))))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5930, 745])).
% 12.17/8.23 tff(5932,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB55) <=> (v114(constB55) | v125(constB55)))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5933,plain,
% 12.17/8.23 (v113(constB55) <=> (v114(constB55) | v125(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5932, 754])).
% 12.17/8.23 tff(5934,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB55) <=> (v115(constB55) | v124(constB55)))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5935,plain,
% 12.17/8.23 (v114(constB55) <=> (v115(constB55) | v124(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5934, 763])).
% 12.17/8.23 tff(5936,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB55) <=> (v116(constB55) | v123(constB55)))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5937,plain,
% 12.17/8.23 (v115(constB55) <=> (v116(constB55) | v123(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5936, 772])).
% 12.17/8.23 tff(5938,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB55) <=> (v117(constB55) | v122(constB55)))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5939,plain,
% 12.17/8.23 (v116(constB55) <=> (v117(constB55) | v122(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5938, 885])).
% 12.17/8.23 tff(5940,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5941,plain,
% 12.17/8.23 ((v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1))))) <=> (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5942,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(monotonicity,[status(thm)],[5941])).
% 12.17/8.23 tff(5943,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(transitivity,[status(thm)],[5942, 5940])).
% 12.17/8.23 tff(5944,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5945,plain,
% 12.17/8.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 12.17/8.23 tff(5946,plain,
% 12.17/8.23 (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5945, 900])).
% 12.17/8.23 tff(5947,plain,
% 12.17/8.23 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5948,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54')).
% 12.17/8.23 tff(5949,plain,
% 12.17/8.23 (nextState(constB54, constB55)),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 12.17/8.23 tff(5950,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5951,plain,
% 12.17/8.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5952,plain,
% 12.17/8.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5951, 5950])).
% 12.17/8.23 tff(5953,plain,
% 12.17/8.23 (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5952, 5949, 596])).
% 12.17/8.23 tff(5954,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5955,plain,
% 12.17/8.23 (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5956,plain,
% 12.17/8.23 (((~![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)))))))),
% 12.17/8.23 inference(monotonicity,[status(thm)],[5955])).
% 12.17/8.23 tff(5957,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(transitivity,[status(thm)],[5956, 5954])).
% 12.17/8.23 tff(5958,plain,
% 12.17/8.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5959,plain,
% 12.17/8.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 12.17/8.23 tff(5960,plain,
% 12.17/8.23 (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5959, 5949, 616])).
% 12.17/8.23 tff(5961,plain,
% 12.17/8.23 (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 12.17/8.23 inference(tautology,[status(thm)],[])).
% 12.17/8.23 tff(5962,plain,
% 12.17/8.23 ((~v1(constB55)) | (~v102(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5961, 5910])).
% 12.17/8.23 tff(5963,plain,
% 12.17/8.23 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 12.17/8.23 inference(tautology,[status(thm)],[])).
% 12.17/8.23 tff(5964,plain,
% 12.17/8.23 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5963, 5962])).
% 12.17/8.23 tff(5965,plain,
% 12.17/8.23 (~v101(constB55)),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5964, 5960])).
% 12.17/8.23 tff(5966,plain,
% 12.17/8.23 (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 12.17/8.23 inference(tautology,[status(thm)],[])).
% 12.17/8.23 tff(5967,plain,
% 12.17/8.23 ((~v101(constB55)) | (~v110(constB55))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5966, 5965])).
% 12.17/8.23 tff(5968,plain,
% 12.17/8.23 ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 12.17/8.23 inference(tautology,[status(thm)],[])).
% 12.17/8.23 tff(5969,plain,
% 12.17/8.23 (~v100(constB55)),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5968, 5967, 5953])).
% 12.17/8.23 tff(5970,plain,
% 12.17/8.23 (((~![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))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5971,plain,
% 12.17/8.23 ((~![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))))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5972,plain,
% 12.17/8.23 ((~![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)))),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 12.17/8.23 tff(5973,plain,
% 12.17/8.23 (v100(constB55) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5972, 5949, 645])).
% 12.17/8.23 tff(5974,plain,
% 12.17/8.23 (![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5973, 5969])).
% 12.17/8.23 tff(5975,plain,
% 12.17/8.23 (((~![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)))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5976,plain,
% 12.17/8.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5977,plain,
% 12.17/8.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2))),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 12.17/8.23 tff(5978,plain,
% 12.17/8.23 (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5977, 579, 5974])).
% 12.17/8.23 tff(5979,plain,
% 12.17/8.23 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5980,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53')).
% 12.17/8.23 tff(5981,plain,
% 12.17/8.23 (nextState(constB53, constB54)),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 12.17/8.23 tff(5982,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5983,plain,
% 12.17/8.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 12.17/8.23 inference(quant_inst,[status(thm)],[])).
% 12.17/8.23 tff(5984,plain,
% 12.17/8.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))),
% 12.17/8.23 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 12.17/8.23 tff(5985,plain,
% 12.17/8.23 (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))),
% 12.17/8.23 inference(unit_resolution,[status(thm)],[5984, 5981, 596])).
% 12.17/8.23 tff(5986,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5987,plain,
% 12.17/8.23 (((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 12.17/8.23 inference(rewrite,[status(thm)],[])).
% 12.17/8.23 tff(5988,plain,
% 12.17/8.23 (((~![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)))))))),
% 12.17/8.23 inference(monotonicity,[status(thm)],[5987])).
% 12.17/8.23 tff(5989,plain,
% 12.17/8.23 (((~![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))))))),
% 12.17/8.24 inference(transitivity,[status(thm)],[5988, 5986])).
% 12.17/8.24 tff(5990,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(5991,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))),
% 12.17/8.24 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 12.17/8.24 tff(5992,plain,
% 12.17/8.24 (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[5991, 5981, 616])).
% 12.17/8.24 tff(5993,plain,
% 12.17/8.24 (((~![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)))),
% 12.17/8.24 inference(rewrite,[status(thm)],[])).
% 12.17/8.24 tff(5994,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(5995,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54))),
% 12.17/8.24 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 12.17/8.24 tff(5996,plain,
% 12.17/8.24 ((~v102(constB54)) <=> v104(constB54)),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[5995, 5981, 678])).
% 12.17/8.24 tff(5997,plain,
% 12.17/8.24 (((~![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)))),
% 12.17/8.24 inference(rewrite,[status(thm)],[])).
% 12.17/8.24 tff(5998,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(5999,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53))),
% 12.17/8.24 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 12.17/8.24 tff(6000,plain,
% 12.17/8.24 (v104(constB54) <=> v1(constB53)),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[5999, 5981, 692])).
% 12.17/8.24 tff(6001,plain,
% 12.17/8.24 ((~v1(constB53)) <=> (~v1(constB53))),
% 12.17/8.24 inference(rewrite,[status(thm)],[])).
% 12.17/8.24 tff(6002,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53')).
% 12.17/8.24 tff(6003,plain,
% 12.17/8.24 (~v1(constB53)),
% 12.17/8.24 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 12.17/8.24 tff(6004,plain,
% 12.17/8.24 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54)) | v1(constB53)),
% 12.17/8.24 inference(tautology,[status(thm)],[])).
% 12.17/8.24 tff(6005,plain,
% 12.17/8.24 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6004, 6003])).
% 12.17/8.24 tff(6006,plain,
% 12.17/8.24 (~v104(constB54)),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6005, 6000])).
% 12.17/8.24 tff(6007,plain,
% 12.17/8.24 ((~((~v102(constB54)) <=> v104(constB54))) | v102(constB54) | v104(constB54)),
% 12.17/8.24 inference(tautology,[status(thm)],[])).
% 12.17/8.24 tff(6008,plain,
% 12.17/8.24 (v102(constB54)),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6007, 6006, 5996])).
% 12.17/8.24 tff(6009,plain,
% 12.17/8.24 (v1(constB54) <=> v1(constB54)),
% 12.17/8.24 inference(rewrite,[status(thm)],[])).
% 12.17/8.24 tff(6010,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54')).
% 12.17/8.24 tff(6011,plain,
% 12.17/8.24 (v1(constB54)),
% 12.17/8.24 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 12.17/8.24 tff(6012,plain,
% 12.17/8.24 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v1(constB54)) | (~v102(constB54))),
% 12.17/8.24 inference(tautology,[status(thm)],[])).
% 12.17/8.24 tff(6013,plain,
% 12.17/8.24 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v102(constB54))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6012, 6011])).
% 12.17/8.24 tff(6014,plain,
% 12.17/8.24 (~((~v1(constB54)) | (~v102(constB54)))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6013, 6008])).
% 12.17/8.24 tff(6015,plain,
% 12.17/8.24 ((~(v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))) | v101(constB54) | ((~v1(constB54)) | (~v102(constB54)))),
% 12.17/8.24 inference(tautology,[status(thm)],[])).
% 12.17/8.24 tff(6016,plain,
% 12.17/8.24 (v101(constB54)),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6015, 6014, 5992])).
% 12.17/8.24 tff(6017,plain,
% 12.17/8.24 (((~![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)))),
% 12.17/8.24 inference(rewrite,[status(thm)],[])).
% 12.17/8.24 tff(6018,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6019,plain,
% 12.17/8.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53))),
% 12.17/8.24 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 12.17/8.24 tff(6020,plain,
% 12.17/8.24 (v110(constB54) <=> v108(constB53)),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6019, 5981, 722])).
% 12.17/8.24 tff(6021,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB53) <=> (v111(constB53) | v112(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6022,plain,
% 12.17/8.24 (v108(constB53) <=> (v111(constB53) | v112(constB53))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6021, 733])).
% 12.17/8.24 tff(6023,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6024,plain,
% 12.17/8.24 (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53))))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6023, 745])).
% 12.17/8.24 tff(6025,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB53) <=> (v114(constB53) | v125(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6026,plain,
% 12.17/8.24 (v113(constB53) <=> (v114(constB53) | v125(constB53))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6025, 754])).
% 12.17/8.24 tff(6027,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB53) <=> (v115(constB53) | v124(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6028,plain,
% 12.17/8.24 (v114(constB53) <=> (v115(constB53) | v124(constB53))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6027, 763])).
% 12.17/8.24 tff(6029,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB53) <=> (v116(constB53) | v123(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6030,plain,
% 12.17/8.24 (v115(constB53) <=> (v116(constB53) | v123(constB53))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6029, 772])).
% 12.17/8.24 tff(6031,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB53) <=> (v117(constB53) | v122(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.24 tff(6032,plain,
% 12.17/8.24 (v116(constB53) <=> (v117(constB53) | v122(constB53))),
% 12.17/8.24 inference(unit_resolution,[status(thm)],[6031, 885])).
% 12.17/8.24 tff(6033,plain,
% 12.17/8.24 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB53) <=> (v118(constB53) | v121(constB53)))),
% 12.17/8.24 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6034,plain,
% 12.17/8.25 (v117(constB53) <=> (v118(constB53) | v121(constB53))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6033, 1000])).
% 12.17/8.25 tff(6035,plain,
% 12.17/8.25 (((~![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)))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6036,plain,
% 12.17/8.25 ((v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1))))) <=> (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6037,plain,
% 12.17/8.25 (((~![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)))))),
% 12.17/8.25 inference(monotonicity,[status(thm)],[6036])).
% 12.17/8.25 tff(6038,plain,
% 12.17/8.25 (((~![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)))))),
% 12.17/8.25 inference(transitivity,[status(thm)],[6037, 6035])).
% 12.17/8.25 tff(6039,plain,
% 12.17/8.25 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6040,plain,
% 12.17/8.25 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 12.17/8.25 tff(6041,plain,
% 12.17/8.25 (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6040, 1015])).
% 12.17/8.25 tff(6042,plain,
% 12.17/8.25 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6043,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52')).
% 12.17/8.25 tff(6044,plain,
% 12.17/8.25 (nextState(constB52, constB53)),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 12.17/8.25 tff(6045,plain,
% 12.17/8.25 (((~![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))))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6046,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6047,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 12.17/8.25 tff(6048,plain,
% 12.17/8.25 (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6047, 6044, 596])).
% 12.17/8.25 tff(6049,plain,
% 12.17/8.25 (((~![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))))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6050,plain,
% 12.17/8.25 (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6051,plain,
% 12.17/8.25 (((~![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)))))))),
% 12.17/8.25 inference(monotonicity,[status(thm)],[6050])).
% 12.17/8.25 tff(6052,plain,
% 12.17/8.25 (((~![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))))))),
% 12.17/8.25 inference(transitivity,[status(thm)],[6051, 6049])).
% 12.17/8.25 tff(6053,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6054,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 12.17/8.25 tff(6055,plain,
% 12.17/8.25 (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6054, 6044, 616])).
% 12.17/8.25 tff(6056,plain,
% 12.17/8.25 (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 12.17/8.25 inference(tautology,[status(thm)],[])).
% 12.17/8.25 tff(6057,plain,
% 12.17/8.25 ((~v1(constB53)) | (~v102(constB53))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6056, 6003])).
% 12.17/8.25 tff(6058,plain,
% 12.17/8.25 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 12.17/8.25 inference(tautology,[status(thm)],[])).
% 12.17/8.25 tff(6059,plain,
% 12.17/8.25 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6058, 6057])).
% 12.17/8.25 tff(6060,plain,
% 12.17/8.25 (~v101(constB53)),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6059, 6055])).
% 12.17/8.25 tff(6061,plain,
% 12.17/8.25 (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 12.17/8.25 inference(tautology,[status(thm)],[])).
% 12.17/8.25 tff(6062,plain,
% 12.17/8.25 ((~v101(constB53)) | (~v110(constB53))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6061, 6060])).
% 12.17/8.25 tff(6063,plain,
% 12.17/8.25 ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 12.17/8.25 inference(tautology,[status(thm)],[])).
% 12.17/8.25 tff(6064,plain,
% 12.17/8.25 (~v100(constB53)),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6063, 6062, 6048])).
% 12.17/8.25 tff(6065,plain,
% 12.17/8.25 (((~![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))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6066,plain,
% 12.17/8.25 ((~![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))))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6067,plain,
% 12.17/8.25 ((~![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)))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 12.17/8.25 tff(6068,plain,
% 12.17/8.25 (v100(constB53) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6067, 6044, 645])).
% 12.17/8.25 tff(6069,plain,
% 12.17/8.25 (![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6068, 6064])).
% 12.17/8.25 tff(6070,plain,
% 12.17/8.25 (((~![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)))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6071,plain,
% 12.17/8.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6072,plain,
% 12.17/8.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 12.17/8.25 tff(6073,plain,
% 12.17/8.25 (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6072, 579, 6069])).
% 12.17/8.25 tff(6074,plain,
% 12.17/8.25 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6075,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51')).
% 12.17/8.25 tff(6076,plain,
% 12.17/8.25 (nextState(constB51, constB52)),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 12.17/8.25 tff(6077,plain,
% 12.17/8.25 (((~![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))))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6078,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6079,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6078, 6077])).
% 12.17/8.25 tff(6080,plain,
% 12.17/8.25 (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6079, 6076, 596])).
% 12.17/8.25 tff(6081,plain,
% 12.17/8.25 (((~![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))))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6082,plain,
% 12.17/8.25 (((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6083,plain,
% 12.17/8.25 (((~![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)))))))),
% 12.17/8.25 inference(monotonicity,[status(thm)],[6082])).
% 12.17/8.25 tff(6084,plain,
% 12.17/8.25 (((~![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))))))),
% 12.17/8.25 inference(transitivity,[status(thm)],[6083, 6081])).
% 12.17/8.25 tff(6085,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6086,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 12.17/8.25 tff(6087,plain,
% 12.17/8.25 (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6086, 6076, 616])).
% 12.17/8.25 tff(6088,plain,
% 12.17/8.25 (((~![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)))),
% 12.17/8.25 inference(rewrite,[status(thm)],[])).
% 12.17/8.25 tff(6089,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 12.17/8.25 inference(quant_inst,[status(thm)],[])).
% 12.17/8.25 tff(6090,plain,
% 12.17/8.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52))),
% 12.17/8.25 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 12.17/8.25 tff(6091,plain,
% 12.17/8.25 ((~v102(constB52)) <=> v104(constB52)),
% 12.17/8.25 inference(unit_resolution,[status(thm)],[6090, 6076, 678])).
% 12.25/8.26 tff(6092,plain,
% 12.25/8.26 (((~![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)))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6093,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6094,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6093, 6092])).
% 12.25/8.26 tff(6095,plain,
% 12.25/8.26 (v104(constB52) <=> v1(constB51)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6094, 6076, 692])).
% 12.25/8.26 tff(6096,plain,
% 12.25/8.26 ((~v1(constB51)) <=> (~v1(constB51))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6097,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51')).
% 12.25/8.26 tff(6098,plain,
% 12.25/8.26 (~v1(constB51)),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 12.25/8.26 tff(6099,plain,
% 12.25/8.26 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52)) | v1(constB51)),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6100,plain,
% 12.25/8.26 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6099, 6098])).
% 12.25/8.26 tff(6101,plain,
% 12.25/8.26 (~v104(constB52)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6100, 6095])).
% 12.25/8.26 tff(6102,plain,
% 12.25/8.26 ((~((~v102(constB52)) <=> v104(constB52))) | v102(constB52) | v104(constB52)),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6103,plain,
% 12.25/8.26 (v102(constB52)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6102, 6101, 6091])).
% 12.25/8.26 tff(6104,plain,
% 12.25/8.26 (v1(constB52) <=> v1(constB52)),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6105,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52')).
% 12.25/8.26 tff(6106,plain,
% 12.25/8.26 (v1(constB52)),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 12.25/8.26 tff(6107,plain,
% 12.25/8.26 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v1(constB52)) | (~v102(constB52))),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6108,plain,
% 12.25/8.26 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v102(constB52))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6107, 6106])).
% 12.25/8.26 tff(6109,plain,
% 12.25/8.26 (~((~v1(constB52)) | (~v102(constB52)))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6108, 6103])).
% 12.25/8.26 tff(6110,plain,
% 12.25/8.26 ((~(v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))) | v101(constB52) | ((~v1(constB52)) | (~v102(constB52)))),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6111,plain,
% 12.25/8.26 (v101(constB52)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6110, 6109, 6087])).
% 12.25/8.26 tff(6112,plain,
% 12.25/8.26 (((~![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)))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6113,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6114,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 12.25/8.26 tff(6115,plain,
% 12.25/8.26 (v110(constB52) <=> v108(constB51)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6114, 6076, 722])).
% 12.25/8.26 tff(6116,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB51) <=> (v111(constB51) | v112(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6117,plain,
% 12.25/8.26 (v108(constB51) <=> (v111(constB51) | v112(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6116, 733])).
% 12.25/8.26 tff(6118,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6119,plain,
% 12.25/8.26 (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51))))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6118, 745])).
% 12.25/8.26 tff(6120,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB51) <=> (v114(constB51) | v125(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6121,plain,
% 12.25/8.26 (v113(constB51) <=> (v114(constB51) | v125(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6120, 754])).
% 12.25/8.26 tff(6122,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB51) <=> (v115(constB51) | v124(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6123,plain,
% 12.25/8.26 (v114(constB51) <=> (v115(constB51) | v124(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6122, 763])).
% 12.25/8.26 tff(6124,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB51) <=> (v116(constB51) | v123(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6125,plain,
% 12.25/8.26 (v115(constB51) <=> (v116(constB51) | v123(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6124, 772])).
% 12.25/8.26 tff(6126,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB51) <=> (v117(constB51) | v122(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6127,plain,
% 12.25/8.26 (v116(constB51) <=> (v117(constB51) | v122(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6126, 885])).
% 12.25/8.26 tff(6128,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB51) <=> (v118(constB51) | v121(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6129,plain,
% 12.25/8.26 (v117(constB51) <=> (v118(constB51) | v121(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6128, 1000])).
% 12.25/8.26 tff(6130,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB51) <=> (v119(constB51) | v120(constB51)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6131,plain,
% 12.25/8.26 (v118(constB51) <=> (v119(constB51) | v120(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6130, 1117])).
% 12.25/8.26 tff(6132,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6133,plain,
% 12.25/8.26 ((v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0))))) <=> (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6134,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(monotonicity,[status(thm)],[6133])).
% 12.25/8.26 tff(6135,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(transitivity,[status(thm)],[6134, 6132])).
% 12.25/8.26 tff(6136,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6137,plain,
% 12.25/8.26 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6136, 6135])).
% 12.25/8.26 tff(6138,plain,
% 12.25/8.26 (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6137, 1132])).
% 12.25/8.26 tff(6139,plain,
% 12.25/8.26 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6140,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50')).
% 12.25/8.26 tff(6141,plain,
% 12.25/8.26 (nextState(constB50, constB51)),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 12.25/8.26 tff(6142,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6143,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6144,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 12.25/8.26 tff(6145,plain,
% 12.25/8.26 (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6144, 6141, 596])).
% 12.25/8.26 tff(6146,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6147,plain,
% 12.25/8.26 (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6148,plain,
% 12.25/8.26 (((~![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)))))))),
% 12.25/8.26 inference(monotonicity,[status(thm)],[6147])).
% 12.25/8.26 tff(6149,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(transitivity,[status(thm)],[6148, 6146])).
% 12.25/8.26 tff(6150,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6151,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 12.25/8.26 tff(6152,plain,
% 12.25/8.26 (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6151, 6141, 616])).
% 12.25/8.26 tff(6153,plain,
% 12.25/8.26 (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6154,plain,
% 12.25/8.26 ((~v1(constB51)) | (~v102(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6153, 6098])).
% 12.25/8.26 tff(6155,plain,
% 12.25/8.26 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6156,plain,
% 12.25/8.26 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6155, 6154])).
% 12.25/8.26 tff(6157,plain,
% 12.25/8.26 (~v101(constB51)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6156, 6152])).
% 12.25/8.26 tff(6158,plain,
% 12.25/8.26 (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6159,plain,
% 12.25/8.26 ((~v101(constB51)) | (~v110(constB51))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6158, 6157])).
% 12.25/8.26 tff(6160,plain,
% 12.25/8.26 ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 12.25/8.26 inference(tautology,[status(thm)],[])).
% 12.25/8.26 tff(6161,plain,
% 12.25/8.26 (~v100(constB51)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6160, 6159, 6145])).
% 12.25/8.26 tff(6162,plain,
% 12.25/8.26 (((~![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))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6163,plain,
% 12.25/8.26 ((~![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))))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6164,plain,
% 12.25/8.26 ((~![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)))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 12.25/8.26 tff(6165,plain,
% 12.25/8.26 (v100(constB51) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6164, 6141, 645])).
% 12.25/8.26 tff(6166,plain,
% 12.25/8.26 (![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6165, 6161])).
% 12.25/8.26 tff(6167,plain,
% 12.25/8.26 (((~![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)))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6168,plain,
% 12.25/8.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6169,plain,
% 12.25/8.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 12.25/8.26 tff(6170,plain,
% 12.25/8.26 (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6169, 579, 6166])).
% 12.25/8.26 tff(6171,plain,
% 12.25/8.26 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6172,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49')).
% 12.25/8.26 tff(6173,plain,
% 12.25/8.26 (nextState(constB49, constB50)),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 12.25/8.26 tff(6174,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6175,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 12.25/8.26 inference(quant_inst,[status(thm)],[])).
% 12.25/8.26 tff(6176,plain,
% 12.25/8.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))),
% 12.25/8.26 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 12.25/8.26 tff(6177,plain,
% 12.25/8.26 (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))),
% 12.25/8.26 inference(unit_resolution,[status(thm)],[6176, 6173, 596])).
% 12.25/8.26 tff(6178,plain,
% 12.25/8.26 (((~![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))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6179,plain,
% 12.25/8.26 (((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 12.25/8.26 inference(rewrite,[status(thm)],[])).
% 12.25/8.26 tff(6180,plain,
% 12.25/8.26 (((~![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)))))))),
% 12.25/8.27 inference(monotonicity,[status(thm)],[6179])).
% 12.25/8.27 tff(6181,plain,
% 12.25/8.27 (((~![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))))))),
% 12.25/8.27 inference(transitivity,[status(thm)],[6180, 6178])).
% 12.25/8.27 tff(6182,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6183,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 12.25/8.27 tff(6184,plain,
% 12.25/8.27 (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6183, 6173, 616])).
% 12.25/8.27 tff(6185,plain,
% 12.25/8.27 (((~![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)))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6186,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6187,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 12.25/8.27 tff(6188,plain,
% 12.25/8.27 ((~v102(constB50)) <=> v104(constB50)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6187, 6173, 678])).
% 12.25/8.27 tff(6189,plain,
% 12.25/8.27 (((~![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)))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6190,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6191,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 12.25/8.27 tff(6192,plain,
% 12.25/8.27 (v104(constB50) <=> v1(constB49)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6191, 6173, 692])).
% 12.25/8.27 tff(6193,plain,
% 12.25/8.27 ((~v1(constB49)) <=> (~v1(constB49))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6194,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49')).
% 12.25/8.27 tff(6195,plain,
% 12.25/8.27 (~v1(constB49)),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 12.25/8.27 tff(6196,plain,
% 12.25/8.27 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50)) | v1(constB49)),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6197,plain,
% 12.25/8.27 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6196, 6195])).
% 12.25/8.27 tff(6198,plain,
% 12.25/8.27 (~v104(constB50)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6197, 6192])).
% 12.25/8.27 tff(6199,plain,
% 12.25/8.27 ((~((~v102(constB50)) <=> v104(constB50))) | v102(constB50) | v104(constB50)),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6200,plain,
% 12.25/8.27 (v102(constB50)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6199, 6198, 6188])).
% 12.25/8.27 tff(6201,plain,
% 12.25/8.27 (v1(constB50) <=> v1(constB50)),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6202,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50')).
% 12.25/8.27 tff(6203,plain,
% 12.25/8.27 (v1(constB50)),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 12.25/8.27 tff(6204,plain,
% 12.25/8.27 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v1(constB50)) | (~v102(constB50))),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6205,plain,
% 12.25/8.27 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v102(constB50))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6204, 6203])).
% 12.25/8.27 tff(6206,plain,
% 12.25/8.27 (~((~v1(constB50)) | (~v102(constB50)))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6205, 6200])).
% 12.25/8.27 tff(6207,plain,
% 12.25/8.27 ((~(v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))) | v101(constB50) | ((~v1(constB50)) | (~v102(constB50)))),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6208,plain,
% 12.25/8.27 (v101(constB50)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6207, 6206, 6184])).
% 12.25/8.27 tff(6209,plain,
% 12.25/8.27 (((~![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)))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6210,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6211,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 12.25/8.27 tff(6212,plain,
% 12.25/8.27 (v110(constB50) <=> v108(constB49)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6211, 6173, 722])).
% 12.25/8.27 tff(6213,plain,
% 12.25/8.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB49) <=> (v111(constB49) | v112(constB49)))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6214,plain,
% 12.25/8.27 (v108(constB49) <=> (v111(constB49) | v112(constB49))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6213, 733])).
% 12.25/8.27 tff(6215,plain,
% 12.25/8.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6216,plain,
% 12.25/8.27 (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49))))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6215, 745])).
% 12.25/8.27 tff(6217,plain,
% 12.25/8.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB49) <=> (v114(constB49) | v125(constB49)))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6218,plain,
% 12.25/8.27 (v113(constB49) <=> (v114(constB49) | v125(constB49))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6217, 754])).
% 12.25/8.27 tff(6219,plain,
% 12.25/8.27 (((~![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)))))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6220,plain,
% 12.25/8.27 ((v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2))))) <=> (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6221,plain,
% 12.25/8.27 (((~![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)))))),
% 12.25/8.27 inference(monotonicity,[status(thm)],[6220])).
% 12.25/8.27 tff(6222,plain,
% 12.25/8.27 (((~![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)))))),
% 12.25/8.27 inference(transitivity,[status(thm)],[6221, 6219])).
% 12.25/8.27 tff(6223,plain,
% 12.25/8.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6224,plain,
% 12.25/8.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 12.25/8.27 tff(6225,plain,
% 12.25/8.27 (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6224, 3458])).
% 12.25/8.27 tff(6226,plain,
% 12.25/8.27 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6227,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48')).
% 12.25/8.27 tff(6228,plain,
% 12.25/8.27 (nextState(constB48, constB49)),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6227, 6226])).
% 12.25/8.27 tff(6229,plain,
% 12.25/8.27 (((~![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))))))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6230,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6231,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 12.25/8.27 tff(6232,plain,
% 12.25/8.27 (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6231, 6228, 596])).
% 12.25/8.27 tff(6233,plain,
% 12.25/8.27 (((~![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))))))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6234,plain,
% 12.25/8.27 (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 12.25/8.27 inference(rewrite,[status(thm)],[])).
% 12.25/8.27 tff(6235,plain,
% 12.25/8.27 (((~![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)))))))),
% 12.25/8.27 inference(monotonicity,[status(thm)],[6234])).
% 12.25/8.27 tff(6236,plain,
% 12.25/8.27 (((~![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))))))),
% 12.25/8.27 inference(transitivity,[status(thm)],[6235, 6233])).
% 12.25/8.27 tff(6237,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 12.25/8.27 inference(quant_inst,[status(thm)],[])).
% 12.25/8.27 tff(6238,plain,
% 12.25/8.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 12.25/8.27 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 12.25/8.27 tff(6239,plain,
% 12.25/8.27 (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6238, 6228, 616])).
% 12.25/8.27 tff(6240,plain,
% 12.25/8.27 (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6241,plain,
% 12.25/8.27 ((~v1(constB49)) | (~v102(constB49))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6240, 6195])).
% 12.25/8.27 tff(6242,plain,
% 12.25/8.27 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6243,plain,
% 12.25/8.27 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6242, 6241])).
% 12.25/8.27 tff(6244,plain,
% 12.25/8.27 (~v101(constB49)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6243, 6239])).
% 12.25/8.27 tff(6245,plain,
% 12.25/8.27 (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6246,plain,
% 12.25/8.27 ((~v101(constB49)) | (~v110(constB49))),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6245, 6244])).
% 12.25/8.27 tff(6247,plain,
% 12.25/8.27 ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 12.25/8.27 inference(tautology,[status(thm)],[])).
% 12.25/8.27 tff(6248,plain,
% 12.25/8.27 (~v100(constB49)),
% 12.25/8.27 inference(unit_resolution,[status(thm)],[6247, 6246, 6232])).
% 12.25/8.27 tff(6249,plain,
% 12.25/8.27 (((~![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))))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6250,plain,
% 12.27/8.28 ((~![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))))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6251,plain,
% 12.27/8.28 ((~![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)))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 12.27/8.28 tff(6252,plain,
% 12.27/8.28 (v100(constB49) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6251, 6228, 645])).
% 12.27/8.28 tff(6253,plain,
% 12.27/8.28 (![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6252, 6248])).
% 12.27/8.28 tff(6254,plain,
% 12.27/8.28 (((~![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)))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6255,plain,
% 12.27/8.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6256,plain,
% 12.27/8.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 12.27/8.28 tff(6257,plain,
% 12.27/8.28 (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6256, 579, 6253])).
% 12.27/8.28 tff(6258,plain,
% 12.27/8.28 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6259,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47')).
% 12.27/8.28 tff(6260,plain,
% 12.27/8.28 (nextState(constB47, constB48)),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6259, 6258])).
% 12.27/8.28 tff(6261,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6262,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6263,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 12.27/8.28 tff(6264,plain,
% 12.27/8.28 (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6263, 6260, 596])).
% 12.27/8.28 tff(6265,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6266,plain,
% 12.27/8.28 (((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6267,plain,
% 12.27/8.28 (((~![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)))))))),
% 12.27/8.28 inference(monotonicity,[status(thm)],[6266])).
% 12.27/8.28 tff(6268,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.28 inference(transitivity,[status(thm)],[6267, 6265])).
% 12.27/8.28 tff(6269,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6270,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 12.27/8.28 tff(6271,plain,
% 12.27/8.28 (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6270, 6260, 616])).
% 12.27/8.28 tff(6272,plain,
% 12.27/8.28 (((~![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)))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6273,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6274,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 12.27/8.28 tff(6275,plain,
% 12.27/8.28 ((~v102(constB48)) <=> v104(constB48)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6274, 6260, 678])).
% 12.27/8.28 tff(6276,plain,
% 12.27/8.28 (((~![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)))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6277,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6278,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 12.27/8.28 tff(6279,plain,
% 12.27/8.28 (v104(constB48) <=> v1(constB47)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6278, 6260, 692])).
% 12.27/8.28 tff(6280,plain,
% 12.27/8.28 ((~v1(constB47)) <=> (~v1(constB47))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6281,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47')).
% 12.27/8.28 tff(6282,plain,
% 12.27/8.28 (~v1(constB47)),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 12.27/8.28 tff(6283,plain,
% 12.27/8.28 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48)) | v1(constB47)),
% 12.27/8.28 inference(tautology,[status(thm)],[])).
% 12.27/8.28 tff(6284,plain,
% 12.27/8.28 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6283, 6282])).
% 12.27/8.28 tff(6285,plain,
% 12.27/8.28 (~v104(constB48)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6284, 6279])).
% 12.27/8.28 tff(6286,plain,
% 12.27/8.28 ((~((~v102(constB48)) <=> v104(constB48))) | v102(constB48) | v104(constB48)),
% 12.27/8.28 inference(tautology,[status(thm)],[])).
% 12.27/8.28 tff(6287,plain,
% 12.27/8.28 (v102(constB48)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6286, 6285, 6275])).
% 12.27/8.28 tff(6288,plain,
% 12.27/8.28 (v1(constB48) <=> v1(constB48)),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6289,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48')).
% 12.27/8.28 tff(6290,plain,
% 12.27/8.28 (v1(constB48)),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 12.27/8.28 tff(6291,plain,
% 12.27/8.28 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v1(constB48)) | (~v102(constB48))),
% 12.27/8.28 inference(tautology,[status(thm)],[])).
% 12.27/8.28 tff(6292,plain,
% 12.27/8.28 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v102(constB48))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6291, 6290])).
% 12.27/8.28 tff(6293,plain,
% 12.27/8.28 (~((~v1(constB48)) | (~v102(constB48)))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6292, 6287])).
% 12.27/8.28 tff(6294,plain,
% 12.27/8.28 ((~(v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))) | v101(constB48) | ((~v1(constB48)) | (~v102(constB48)))),
% 12.27/8.28 inference(tautology,[status(thm)],[])).
% 12.27/8.28 tff(6295,plain,
% 12.27/8.28 (v101(constB48)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6294, 6293, 6271])).
% 12.27/8.28 tff(6296,plain,
% 12.27/8.28 (((~![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)))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6297,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6298,plain,
% 12.27/8.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 12.27/8.28 tff(6299,plain,
% 12.27/8.28 (v110(constB48) <=> v108(constB47)),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6298, 6260, 722])).
% 12.27/8.28 tff(6300,plain,
% 12.27/8.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB47) <=> (v111(constB47) | v112(constB47)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6301,plain,
% 12.27/8.28 (v108(constB47) <=> (v111(constB47) | v112(constB47))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6300, 733])).
% 12.27/8.28 tff(6302,plain,
% 12.27/8.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6303,plain,
% 12.27/8.28 (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47))))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6302, 745])).
% 12.27/8.28 tff(6304,plain,
% 12.27/8.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB47) <=> (v114(constB47) | v125(constB47)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6305,plain,
% 12.27/8.28 (v113(constB47) <=> (v114(constB47) | v125(constB47))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6304, 754])).
% 12.27/8.28 tff(6306,plain,
% 12.27/8.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB47) <=> (v115(constB47) | v124(constB47)))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6307,plain,
% 12.27/8.28 (v114(constB47) <=> (v115(constB47) | v124(constB47))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6306, 763])).
% 12.27/8.28 tff(6308,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6309,plain,
% 12.27/8.28 ((v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2))))) <=> (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6310,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.28 inference(monotonicity,[status(thm)],[6309])).
% 12.27/8.28 tff(6311,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.28 inference(transitivity,[status(thm)],[6310, 6308])).
% 12.27/8.28 tff(6312,plain,
% 12.27/8.28 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))),
% 12.27/8.28 inference(quant_inst,[status(thm)],[])).
% 12.27/8.28 tff(6313,plain,
% 12.27/8.28 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 12.27/8.28 tff(6314,plain,
% 12.27/8.28 (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))),
% 12.27/8.28 inference(unit_resolution,[status(thm)],[6313, 2651])).
% 12.27/8.28 tff(6315,plain,
% 12.27/8.28 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 12.27/8.28 inference(rewrite,[status(thm)],[])).
% 12.27/8.28 tff(6316,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46')).
% 12.27/8.28 tff(6317,plain,
% 12.27/8.28 (nextState(constB46, constB47)),
% 12.27/8.28 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 12.27/8.28 tff(6318,plain,
% 12.27/8.28 (((~![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))))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6319,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6320,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 12.27/8.29 tff(6321,plain,
% 12.27/8.29 (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6320, 6317, 596])).
% 12.27/8.29 tff(6322,plain,
% 12.27/8.29 (((~![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))))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6323,plain,
% 12.27/8.29 (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6324,plain,
% 12.27/8.29 (((~![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)))))))),
% 12.27/8.29 inference(monotonicity,[status(thm)],[6323])).
% 12.27/8.29 tff(6325,plain,
% 12.27/8.29 (((~![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))))))),
% 12.27/8.29 inference(transitivity,[status(thm)],[6324, 6322])).
% 12.27/8.29 tff(6326,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6327,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 12.27/8.29 tff(6328,plain,
% 12.27/8.29 (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6327, 6317, 616])).
% 12.27/8.29 tff(6329,plain,
% 12.27/8.29 (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6330,plain,
% 12.27/8.29 ((~v1(constB47)) | (~v102(constB47))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6329, 6282])).
% 12.27/8.29 tff(6331,plain,
% 12.27/8.29 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6332,plain,
% 12.27/8.29 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6331, 6330])).
% 12.27/8.29 tff(6333,plain,
% 12.27/8.29 (~v101(constB47)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6332, 6328])).
% 12.27/8.29 tff(6334,plain,
% 12.27/8.29 (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6335,plain,
% 12.27/8.29 ((~v101(constB47)) | (~v110(constB47))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6334, 6333])).
% 12.27/8.29 tff(6336,plain,
% 12.27/8.29 ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6337,plain,
% 12.27/8.29 (~v100(constB47)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6336, 6335, 6321])).
% 12.27/8.29 tff(6338,plain,
% 12.27/8.29 (((~![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))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6339,plain,
% 12.27/8.29 ((~![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))))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6340,plain,
% 12.27/8.29 ((~![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)))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 12.27/8.29 tff(6341,plain,
% 12.27/8.29 (v100(constB47) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6340, 6317, 645])).
% 12.27/8.29 tff(6342,plain,
% 12.27/8.29 (![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6341, 6337])).
% 12.27/8.29 tff(6343,plain,
% 12.27/8.29 (((~![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)))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6344,plain,
% 12.27/8.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6345,plain,
% 12.27/8.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 12.27/8.29 tff(6346,plain,
% 12.27/8.29 (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6345, 579, 6342])).
% 12.27/8.29 tff(6347,plain,
% 12.27/8.29 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6348,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45')).
% 12.27/8.29 tff(6349,plain,
% 12.27/8.29 (nextState(constB45, constB46)),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 12.27/8.29 tff(6350,plain,
% 12.27/8.29 (((~![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))))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6351,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6352,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 12.27/8.29 tff(6353,plain,
% 12.27/8.29 (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6352, 6349, 596])).
% 12.27/8.29 tff(6354,plain,
% 12.27/8.29 (((~![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))))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6355,plain,
% 12.27/8.29 (((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6356,plain,
% 12.27/8.29 (((~![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)))))))),
% 12.27/8.29 inference(monotonicity,[status(thm)],[6355])).
% 12.27/8.29 tff(6357,plain,
% 12.27/8.29 (((~![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))))))),
% 12.27/8.29 inference(transitivity,[status(thm)],[6356, 6354])).
% 12.27/8.29 tff(6358,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6359,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 12.27/8.29 tff(6360,plain,
% 12.27/8.29 (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6359, 6349, 616])).
% 12.27/8.29 tff(6361,plain,
% 12.27/8.29 (((~![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)))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6362,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6363,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6362, 6361])).
% 12.27/8.29 tff(6364,plain,
% 12.27/8.29 ((~v102(constB46)) <=> v104(constB46)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6363, 6349, 678])).
% 12.27/8.29 tff(6365,plain,
% 12.27/8.29 (((~![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)))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6366,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6367,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45))),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6366, 6365])).
% 12.27/8.29 tff(6368,plain,
% 12.27/8.29 (v104(constB46) <=> v1(constB45)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6367, 6349, 692])).
% 12.27/8.29 tff(6369,plain,
% 12.27/8.29 ((~v1(constB45)) <=> (~v1(constB45))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6370,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45')).
% 12.27/8.29 tff(6371,plain,
% 12.27/8.29 (~v1(constB45)),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 12.27/8.29 tff(6372,plain,
% 12.27/8.29 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46)) | v1(constB45)),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6373,plain,
% 12.27/8.29 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6372, 6371])).
% 12.27/8.29 tff(6374,plain,
% 12.27/8.29 (~v104(constB46)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6373, 6368])).
% 12.27/8.29 tff(6375,plain,
% 12.27/8.29 ((~((~v102(constB46)) <=> v104(constB46))) | v102(constB46) | v104(constB46)),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6376,plain,
% 12.27/8.29 (v102(constB46)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6375, 6374, 6364])).
% 12.27/8.29 tff(6377,plain,
% 12.27/8.29 (v1(constB46) <=> v1(constB46)),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6378,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46')).
% 12.27/8.29 tff(6379,plain,
% 12.27/8.29 (v1(constB46)),
% 12.27/8.29 inference(modus_ponens,[status(thm)],[6378, 6377])).
% 12.27/8.29 tff(6380,plain,
% 12.27/8.29 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v1(constB46)) | (~v102(constB46))),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6381,plain,
% 12.27/8.29 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v102(constB46))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6380, 6379])).
% 12.27/8.29 tff(6382,plain,
% 12.27/8.29 (~((~v1(constB46)) | (~v102(constB46)))),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6381, 6376])).
% 12.27/8.29 tff(6383,plain,
% 12.27/8.29 ((~(v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))) | v101(constB46) | ((~v1(constB46)) | (~v102(constB46)))),
% 12.27/8.29 inference(tautology,[status(thm)],[])).
% 12.27/8.29 tff(6384,plain,
% 12.27/8.29 (v101(constB46)),
% 12.27/8.29 inference(unit_resolution,[status(thm)],[6383, 6382, 6360])).
% 12.27/8.29 tff(6385,plain,
% 12.27/8.29 (((~![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)))),
% 12.27/8.29 inference(rewrite,[status(thm)],[])).
% 12.27/8.29 tff(6386,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 12.27/8.29 inference(quant_inst,[status(thm)],[])).
% 12.27/8.29 tff(6387,plain,
% 12.27/8.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 12.27/8.30 tff(6388,plain,
% 12.27/8.30 (v110(constB46) <=> v108(constB45)),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6387, 6349, 722])).
% 12.27/8.30 tff(6389,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB45) <=> (v111(constB45) | v112(constB45)))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6390,plain,
% 12.27/8.30 (v108(constB45) <=> (v111(constB45) | v112(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6389, 733])).
% 12.27/8.30 tff(6391,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6392,plain,
% 12.27/8.30 (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45))))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6391, 745])).
% 12.27/8.30 tff(6393,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB45) <=> (v114(constB45) | v125(constB45)))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6394,plain,
% 12.27/8.30 (v113(constB45) <=> (v114(constB45) | v125(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6393, 754])).
% 12.27/8.30 tff(6395,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB45) <=> (v115(constB45) | v124(constB45)))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6396,plain,
% 12.27/8.30 (v114(constB45) <=> (v115(constB45) | v124(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6395, 763])).
% 12.27/8.30 tff(6397,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB45) <=> (v116(constB45) | v123(constB45)))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6398,plain,
% 12.27/8.30 (v115(constB45) <=> (v116(constB45) | v123(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6397, 772])).
% 12.27/8.30 tff(6399,plain,
% 12.27/8.30 (((~![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)))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6400,plain,
% 12.27/8.30 ((v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))))) <=> (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6401,plain,
% 12.27/8.30 (((~![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)))))),
% 12.27/8.30 inference(monotonicity,[status(thm)],[6400])).
% 12.27/8.30 tff(6402,plain,
% 12.27/8.30 (((~![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)))))),
% 12.27/8.30 inference(transitivity,[status(thm)],[6401, 6399])).
% 12.27/8.30 tff(6403,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6404,plain,
% 12.27/8.30 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 12.27/8.30 tff(6405,plain,
% 12.27/8.30 (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6404, 787])).
% 12.27/8.30 tff(6406,plain,
% 12.27/8.30 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6407,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44')).
% 12.27/8.30 tff(6408,plain,
% 12.27/8.30 (nextState(constB44, constB45)),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 12.27/8.30 tff(6409,plain,
% 12.27/8.30 (((~![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))))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6410,plain,
% 12.27/8.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6411,plain,
% 12.27/8.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 12.27/8.30 tff(6412,plain,
% 12.27/8.30 (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6411, 6408, 596])).
% 12.27/8.30 tff(6413,plain,
% 12.27/8.30 (((~![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))))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6414,plain,
% 12.27/8.30 (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6415,plain,
% 12.27/8.30 (((~![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)))))))),
% 12.27/8.30 inference(monotonicity,[status(thm)],[6414])).
% 12.27/8.30 tff(6416,plain,
% 12.27/8.30 (((~![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))))))),
% 12.27/8.30 inference(transitivity,[status(thm)],[6415, 6413])).
% 12.27/8.30 tff(6417,plain,
% 12.27/8.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6418,plain,
% 12.27/8.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 12.27/8.30 tff(6419,plain,
% 12.27/8.30 (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6418, 6408, 616])).
% 12.27/8.30 tff(6420,plain,
% 12.27/8.30 (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 12.27/8.30 inference(tautology,[status(thm)],[])).
% 12.27/8.30 tff(6421,plain,
% 12.27/8.30 ((~v1(constB45)) | (~v102(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6420, 6371])).
% 12.27/8.30 tff(6422,plain,
% 12.27/8.30 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 12.27/8.30 inference(tautology,[status(thm)],[])).
% 12.27/8.30 tff(6423,plain,
% 12.27/8.30 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6422, 6421])).
% 12.27/8.30 tff(6424,plain,
% 12.27/8.30 (~v101(constB45)),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6423, 6419])).
% 12.27/8.30 tff(6425,plain,
% 12.27/8.30 (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 12.27/8.30 inference(tautology,[status(thm)],[])).
% 12.27/8.30 tff(6426,plain,
% 12.27/8.30 ((~v101(constB45)) | (~v110(constB45))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6425, 6424])).
% 12.27/8.30 tff(6427,plain,
% 12.27/8.30 ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 12.27/8.30 inference(tautology,[status(thm)],[])).
% 12.27/8.30 tff(6428,plain,
% 12.27/8.30 (~v100(constB45)),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6427, 6426, 6412])).
% 12.27/8.30 tff(6429,plain,
% 12.27/8.30 (((~![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))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6430,plain,
% 12.27/8.30 ((~![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))))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6431,plain,
% 12.27/8.30 ((~![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)))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 12.27/8.30 tff(6432,plain,
% 12.27/8.30 (v100(constB45) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6431, 6408, 645])).
% 12.27/8.30 tff(6433,plain,
% 12.27/8.30 (![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6432, 6428])).
% 12.27/8.30 tff(6434,plain,
% 12.27/8.30 (((~![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)))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6435,plain,
% 12.27/8.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6436,plain,
% 12.27/8.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6435, 6434])).
% 12.27/8.30 tff(6437,plain,
% 12.27/8.30 (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6436, 579, 6433])).
% 12.27/8.30 tff(6438,plain,
% 12.27/8.30 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6439,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43')).
% 12.27/8.30 tff(6440,plain,
% 12.27/8.30 (nextState(constB43, constB44)),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 12.27/8.30 tff(6441,plain,
% 12.27/8.30 (((~![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))))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6442,plain,
% 12.27/8.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 12.27/8.30 inference(quant_inst,[status(thm)],[])).
% 12.27/8.30 tff(6443,plain,
% 12.27/8.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))),
% 12.27/8.30 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 12.27/8.30 tff(6444,plain,
% 12.27/8.30 (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))),
% 12.27/8.30 inference(unit_resolution,[status(thm)],[6443, 6440, 596])).
% 12.27/8.30 tff(6445,plain,
% 12.27/8.30 (((~![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))))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6446,plain,
% 12.27/8.30 (((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 12.27/8.30 inference(rewrite,[status(thm)],[])).
% 12.27/8.30 tff(6447,plain,
% 12.27/8.30 (((~![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)))))))),
% 12.27/8.30 inference(monotonicity,[status(thm)],[6446])).
% 12.27/8.30 tff(6448,plain,
% 12.27/8.30 (((~![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))))))),
% 12.27/8.30 inference(transitivity,[status(thm)],[6447, 6445])).
% 12.27/8.31 tff(6449,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6450,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 12.27/8.31 tff(6451,plain,
% 12.27/8.31 (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6450, 6440, 616])).
% 12.27/8.31 tff(6452,plain,
% 12.27/8.31 (((~![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)))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6453,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6454,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 12.27/8.31 tff(6455,plain,
% 12.27/8.31 ((~v102(constB44)) <=> v104(constB44)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6454, 6440, 678])).
% 12.27/8.31 tff(6456,plain,
% 12.27/8.31 (((~![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)))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6457,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6458,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 12.27/8.31 tff(6459,plain,
% 12.27/8.31 (v104(constB44) <=> v1(constB43)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6458, 6440, 692])).
% 12.27/8.31 tff(6460,plain,
% 12.27/8.31 ((~v1(constB43)) <=> (~v1(constB43))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6461,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43')).
% 12.27/8.31 tff(6462,plain,
% 12.27/8.31 (~v1(constB43)),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 12.27/8.31 tff(6463,plain,
% 12.27/8.31 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44)) | v1(constB43)),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6464,plain,
% 12.27/8.31 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6463, 6462])).
% 12.27/8.31 tff(6465,plain,
% 12.27/8.31 (~v104(constB44)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6464, 6459])).
% 12.27/8.31 tff(6466,plain,
% 12.27/8.31 ((~((~v102(constB44)) <=> v104(constB44))) | v102(constB44) | v104(constB44)),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6467,plain,
% 12.27/8.31 (v102(constB44)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6466, 6465, 6455])).
% 12.27/8.31 tff(6468,plain,
% 12.27/8.31 (v1(constB44) <=> v1(constB44)),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6469,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44')).
% 12.27/8.31 tff(6470,plain,
% 12.27/8.31 (v1(constB44)),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 12.27/8.31 tff(6471,plain,
% 12.27/8.31 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v1(constB44)) | (~v102(constB44))),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6472,plain,
% 12.27/8.31 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v102(constB44))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6471, 6470])).
% 12.27/8.31 tff(6473,plain,
% 12.27/8.31 (~((~v1(constB44)) | (~v102(constB44)))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6472, 6467])).
% 12.27/8.31 tff(6474,plain,
% 12.27/8.31 ((~(v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))) | v101(constB44) | ((~v1(constB44)) | (~v102(constB44)))),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6475,plain,
% 12.27/8.31 (v101(constB44)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6474, 6473, 6451])).
% 12.27/8.31 tff(6476,plain,
% 12.27/8.31 (((~![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)))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6477,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6478,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 12.27/8.31 tff(6479,plain,
% 12.27/8.31 (v110(constB44) <=> v108(constB43)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6478, 6440, 722])).
% 12.27/8.31 tff(6480,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB43) <=> (v111(constB43) | v112(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6481,plain,
% 12.27/8.31 (v108(constB43) <=> (v111(constB43) | v112(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6480, 733])).
% 12.27/8.31 tff(6482,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6483,plain,
% 12.27/8.31 (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43))))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6482, 745])).
% 12.27/8.31 tff(6484,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB43) <=> (v114(constB43) | v125(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6485,plain,
% 12.27/8.31 (v113(constB43) <=> (v114(constB43) | v125(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6484, 754])).
% 12.27/8.31 tff(6486,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB43) <=> (v115(constB43) | v124(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6487,plain,
% 12.27/8.31 (v114(constB43) <=> (v115(constB43) | v124(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6486, 763])).
% 12.27/8.31 tff(6488,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB43) <=> (v116(constB43) | v123(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6489,plain,
% 12.27/8.31 (v115(constB43) <=> (v116(constB43) | v123(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6488, 772])).
% 12.27/8.31 tff(6490,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB43) <=> (v117(constB43) | v122(constB43)))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6491,plain,
% 12.27/8.31 (v116(constB43) <=> (v117(constB43) | v122(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6490, 885])).
% 12.27/8.31 tff(6492,plain,
% 12.27/8.31 (((~![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))))))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6493,plain,
% 12.27/8.31 ((v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1))))) <=> (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6494,plain,
% 12.27/8.31 (((~![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))))))),
% 12.27/8.31 inference(monotonicity,[status(thm)],[6493])).
% 12.27/8.31 tff(6495,plain,
% 12.27/8.31 (((~![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))))))),
% 12.27/8.31 inference(transitivity,[status(thm)],[6494, 6492])).
% 12.27/8.31 tff(6496,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6497,plain,
% 12.27/8.31 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 12.27/8.31 tff(6498,plain,
% 12.27/8.31 (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6497, 900])).
% 12.27/8.31 tff(6499,plain,
% 12.27/8.31 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6500,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42')).
% 12.27/8.31 tff(6501,plain,
% 12.27/8.31 (nextState(constB42, constB43)),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 12.27/8.31 tff(6502,plain,
% 12.27/8.31 (((~![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))))))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6503,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6504,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 12.27/8.31 tff(6505,plain,
% 12.27/8.31 (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6504, 6501, 596])).
% 12.27/8.31 tff(6506,plain,
% 12.27/8.31 (((~![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))))))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6507,plain,
% 12.27/8.31 (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 12.27/8.31 inference(rewrite,[status(thm)],[])).
% 12.27/8.31 tff(6508,plain,
% 12.27/8.31 (((~![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)))))))),
% 12.27/8.31 inference(monotonicity,[status(thm)],[6507])).
% 12.27/8.31 tff(6509,plain,
% 12.27/8.31 (((~![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))))))),
% 12.27/8.31 inference(transitivity,[status(thm)],[6508, 6506])).
% 12.27/8.31 tff(6510,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 12.27/8.31 inference(quant_inst,[status(thm)],[])).
% 12.27/8.31 tff(6511,plain,
% 12.27/8.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 12.27/8.31 inference(modus_ponens,[status(thm)],[6510, 6509])).
% 12.27/8.31 tff(6512,plain,
% 12.27/8.31 (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6511, 6501, 616])).
% 12.27/8.31 tff(6513,plain,
% 12.27/8.31 (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6514,plain,
% 12.27/8.31 ((~v1(constB43)) | (~v102(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6513, 6462])).
% 12.27/8.31 tff(6515,plain,
% 12.27/8.31 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6516,plain,
% 12.27/8.31 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6515, 6514])).
% 12.27/8.31 tff(6517,plain,
% 12.27/8.31 (~v101(constB43)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6516, 6512])).
% 12.27/8.31 tff(6518,plain,
% 12.27/8.31 (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6519,plain,
% 12.27/8.31 ((~v101(constB43)) | (~v110(constB43))),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6518, 6517])).
% 12.27/8.31 tff(6520,plain,
% 12.27/8.31 ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 12.27/8.31 inference(tautology,[status(thm)],[])).
% 12.27/8.31 tff(6521,plain,
% 12.27/8.31 (~v100(constB43)),
% 12.27/8.31 inference(unit_resolution,[status(thm)],[6520, 6519, 6505])).
% 12.27/8.31 tff(6522,plain,
% 12.27/8.31 (((~![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))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6523,plain,
% 12.27/8.32 ((~![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))))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6524,plain,
% 12.27/8.32 ((~![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)))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 12.27/8.32 tff(6525,plain,
% 12.27/8.32 (v100(constB43) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6524, 6501, 645])).
% 12.27/8.32 tff(6526,plain,
% 12.27/8.32 (![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6525, 6521])).
% 12.27/8.32 tff(6527,plain,
% 12.27/8.32 (((~![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)))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6528,plain,
% 12.27/8.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6529,plain,
% 12.27/8.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 12.27/8.32 tff(6530,plain,
% 12.27/8.32 (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6529, 579, 6526])).
% 12.27/8.32 tff(6531,plain,
% 12.27/8.32 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6532,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41')).
% 12.27/8.32 tff(6533,plain,
% 12.27/8.32 (nextState(constB41, constB42)),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 12.27/8.32 tff(6534,plain,
% 12.27/8.32 (((~![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))))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6535,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6536,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 12.27/8.32 tff(6537,plain,
% 12.27/8.32 (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6536, 6533, 596])).
% 12.27/8.32 tff(6538,plain,
% 12.27/8.32 (((~![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))))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6539,plain,
% 12.27/8.32 (((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6540,plain,
% 12.27/8.32 (((~![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)))))))),
% 12.27/8.32 inference(monotonicity,[status(thm)],[6539])).
% 12.27/8.32 tff(6541,plain,
% 12.27/8.32 (((~![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))))))),
% 12.27/8.32 inference(transitivity,[status(thm)],[6540, 6538])).
% 12.27/8.32 tff(6542,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6543,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6542, 6541])).
% 12.27/8.32 tff(6544,plain,
% 12.27/8.32 (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6543, 6533, 616])).
% 12.27/8.32 tff(6545,plain,
% 12.27/8.32 (((~![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)))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6546,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6547,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6546, 6545])).
% 12.27/8.32 tff(6548,plain,
% 12.27/8.32 ((~v102(constB42)) <=> v104(constB42)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6547, 6533, 678])).
% 12.27/8.32 tff(6549,plain,
% 12.27/8.32 (((~![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)))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6550,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6551,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 12.27/8.32 tff(6552,plain,
% 12.27/8.32 (v104(constB42) <=> v1(constB41)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6551, 6533, 692])).
% 12.27/8.32 tff(6553,plain,
% 12.27/8.32 ((~v1(constB41)) <=> (~v1(constB41))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6554,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41')).
% 12.27/8.32 tff(6555,plain,
% 12.27/8.32 (~v1(constB41)),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6554, 6553])).
% 12.27/8.32 tff(6556,plain,
% 12.27/8.32 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42)) | v1(constB41)),
% 12.27/8.32 inference(tautology,[status(thm)],[])).
% 12.27/8.32 tff(6557,plain,
% 12.27/8.32 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6556, 6555])).
% 12.27/8.32 tff(6558,plain,
% 12.27/8.32 (~v104(constB42)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6557, 6552])).
% 12.27/8.32 tff(6559,plain,
% 12.27/8.32 ((~((~v102(constB42)) <=> v104(constB42))) | v102(constB42) | v104(constB42)),
% 12.27/8.32 inference(tautology,[status(thm)],[])).
% 12.27/8.32 tff(6560,plain,
% 12.27/8.32 (v102(constB42)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6559, 6558, 6548])).
% 12.27/8.32 tff(6561,plain,
% 12.27/8.32 (v1(constB42) <=> v1(constB42)),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6562,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42')).
% 12.27/8.32 tff(6563,plain,
% 12.27/8.32 (v1(constB42)),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 12.27/8.32 tff(6564,plain,
% 12.27/8.32 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v1(constB42)) | (~v102(constB42))),
% 12.27/8.32 inference(tautology,[status(thm)],[])).
% 12.27/8.32 tff(6565,plain,
% 12.27/8.32 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v102(constB42))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6564, 6563])).
% 12.27/8.32 tff(6566,plain,
% 12.27/8.32 (~((~v1(constB42)) | (~v102(constB42)))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6565, 6560])).
% 12.27/8.32 tff(6567,plain,
% 12.27/8.32 ((~(v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))) | v101(constB42) | ((~v1(constB42)) | (~v102(constB42)))),
% 12.27/8.32 inference(tautology,[status(thm)],[])).
% 12.27/8.32 tff(6568,plain,
% 12.27/8.32 (v101(constB42)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6567, 6566, 6544])).
% 12.27/8.32 tff(6569,plain,
% 12.27/8.32 (((~![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)))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6570,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6571,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 12.27/8.32 tff(6572,plain,
% 12.27/8.32 (v110(constB42) <=> v108(constB41)),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6571, 6533, 722])).
% 12.27/8.32 tff(6573,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB41) <=> (v111(constB41) | v112(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6574,plain,
% 12.27/8.32 (v108(constB41) <=> (v111(constB41) | v112(constB41))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6573, 733])).
% 12.27/8.32 tff(6575,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6576,plain,
% 12.27/8.32 (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41))))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6575, 745])).
% 12.27/8.32 tff(6577,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB41) <=> (v114(constB41) | v125(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6578,plain,
% 12.27/8.32 (v113(constB41) <=> (v114(constB41) | v125(constB41))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6577, 754])).
% 12.27/8.32 tff(6579,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB41) <=> (v115(constB41) | v124(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6580,plain,
% 12.27/8.32 (v114(constB41) <=> (v115(constB41) | v124(constB41))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6579, 763])).
% 12.27/8.32 tff(6581,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB41) <=> (v116(constB41) | v123(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6582,plain,
% 12.27/8.32 (v115(constB41) <=> (v116(constB41) | v123(constB41))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6581, 772])).
% 12.27/8.32 tff(6583,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB41) <=> (v117(constB41) | v122(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6584,plain,
% 12.27/8.32 (v116(constB41) <=> (v117(constB41) | v122(constB41))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6583, 885])).
% 12.27/8.32 tff(6585,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB41) <=> (v118(constB41) | v121(constB41)))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6586,plain,
% 12.27/8.32 (v117(constB41) <=> (v118(constB41) | v121(constB41))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6585, 1000])).
% 12.27/8.32 tff(6587,plain,
% 12.27/8.32 (((~![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)))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6588,plain,
% 12.27/8.32 ((v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1))))) <=> (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6589,plain,
% 12.27/8.32 (((~![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)))))),
% 12.27/8.32 inference(monotonicity,[status(thm)],[6588])).
% 12.27/8.32 tff(6590,plain,
% 12.27/8.32 (((~![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)))))),
% 12.27/8.32 inference(transitivity,[status(thm)],[6589, 6587])).
% 12.27/8.32 tff(6591,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6592,plain,
% 12.27/8.32 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 12.27/8.32 tff(6593,plain,
% 12.27/8.32 (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6592, 1015])).
% 12.27/8.32 tff(6594,plain,
% 12.27/8.32 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6595,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40')).
% 12.27/8.32 tff(6596,plain,
% 12.27/8.32 (nextState(constB40, constB41)),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 12.27/8.32 tff(6597,plain,
% 12.27/8.32 (((~![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))))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6598,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 12.27/8.32 inference(quant_inst,[status(thm)],[])).
% 12.27/8.32 tff(6599,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 12.27/8.32 inference(modus_ponens,[status(thm)],[6598, 6597])).
% 12.27/8.32 tff(6600,plain,
% 12.27/8.32 (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 12.27/8.32 inference(unit_resolution,[status(thm)],[6599, 6596, 596])).
% 12.27/8.32 tff(6601,plain,
% 12.27/8.32 (((~![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))))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6602,plain,
% 12.27/8.32 (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 12.27/8.32 inference(rewrite,[status(thm)],[])).
% 12.27/8.32 tff(6603,plain,
% 12.27/8.32 (((~![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)))))))),
% 12.27/8.32 inference(monotonicity,[status(thm)],[6602])).
% 12.27/8.32 tff(6604,plain,
% 12.27/8.32 (((~![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))))))),
% 12.27/8.32 inference(transitivity,[status(thm)],[6603, 6601])).
% 12.27/8.32 tff(6605,plain,
% 12.27/8.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6606,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6605, 6604])).
% 12.27/8.33 tff(6607,plain,
% 12.27/8.33 (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6606, 6596, 616])).
% 12.27/8.33 tff(6608,plain,
% 12.27/8.33 (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6609,plain,
% 12.27/8.33 ((~v1(constB41)) | (~v102(constB41))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6608, 6555])).
% 12.27/8.33 tff(6610,plain,
% 12.27/8.33 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6611,plain,
% 12.27/8.33 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6610, 6609])).
% 12.27/8.33 tff(6612,plain,
% 12.27/8.33 (~v101(constB41)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6611, 6607])).
% 12.27/8.33 tff(6613,plain,
% 12.27/8.33 (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6614,plain,
% 12.27/8.33 ((~v101(constB41)) | (~v110(constB41))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6613, 6612])).
% 12.27/8.33 tff(6615,plain,
% 12.27/8.33 ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6616,plain,
% 12.27/8.33 (~v100(constB41)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6615, 6614, 6600])).
% 12.27/8.33 tff(6617,plain,
% 12.27/8.33 (((~![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))))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6618,plain,
% 12.27/8.33 ((~![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))))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6619,plain,
% 12.27/8.33 ((~![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)))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 12.27/8.33 tff(6620,plain,
% 12.27/8.33 (v100(constB41) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6619, 6596, 645])).
% 12.27/8.33 tff(6621,plain,
% 12.27/8.33 (![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6620, 6616])).
% 12.27/8.33 tff(6622,plain,
% 12.27/8.33 (((~![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)))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6623,plain,
% 12.27/8.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6624,plain,
% 12.27/8.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6623, 6622])).
% 12.27/8.33 tff(6625,plain,
% 12.27/8.33 (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6624, 579, 6621])).
% 12.27/8.33 tff(6626,plain,
% 12.27/8.33 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6627,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39')).
% 12.27/8.33 tff(6628,plain,
% 12.27/8.33 (nextState(constB39, constB40)),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 12.27/8.33 tff(6629,plain,
% 12.27/8.33 (((~![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))))))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6630,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6631,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6630, 6629])).
% 12.27/8.33 tff(6632,plain,
% 12.27/8.33 (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6631, 6628, 596])).
% 12.27/8.33 tff(6633,plain,
% 12.27/8.33 (((~![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))))))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6634,plain,
% 12.27/8.33 (((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6635,plain,
% 12.27/8.33 (((~![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)))))))),
% 12.27/8.33 inference(monotonicity,[status(thm)],[6634])).
% 12.27/8.33 tff(6636,plain,
% 12.27/8.33 (((~![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))))))),
% 12.27/8.33 inference(transitivity,[status(thm)],[6635, 6633])).
% 12.27/8.33 tff(6637,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6638,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 12.27/8.33 tff(6639,plain,
% 12.27/8.33 (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6638, 6628, 616])).
% 12.27/8.33 tff(6640,plain,
% 12.27/8.33 (((~![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)))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6641,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6642,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6641, 6640])).
% 12.27/8.33 tff(6643,plain,
% 12.27/8.33 ((~v102(constB40)) <=> v104(constB40)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6642, 6628, 678])).
% 12.27/8.33 tff(6644,plain,
% 12.27/8.33 (((~![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)))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6645,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6646,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 12.27/8.33 tff(6647,plain,
% 12.27/8.33 (v104(constB40) <=> v1(constB39)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6646, 6628, 692])).
% 12.27/8.33 tff(6648,plain,
% 12.27/8.33 ((~v1(constB39)) <=> (~v1(constB39))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6649,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39')).
% 12.27/8.33 tff(6650,plain,
% 12.27/8.33 (~v1(constB39)),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 12.27/8.33 tff(6651,plain,
% 12.27/8.33 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40)) | v1(constB39)),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6652,plain,
% 12.27/8.33 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6651, 6650])).
% 12.27/8.33 tff(6653,plain,
% 12.27/8.33 (~v104(constB40)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6652, 6647])).
% 12.27/8.33 tff(6654,plain,
% 12.27/8.33 ((~((~v102(constB40)) <=> v104(constB40))) | v102(constB40) | v104(constB40)),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6655,plain,
% 12.27/8.33 (v102(constB40)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6654, 6653, 6643])).
% 12.27/8.33 tff(6656,plain,
% 12.27/8.33 (v1(constB40) <=> v1(constB40)),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6657,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40')).
% 12.27/8.33 tff(6658,plain,
% 12.27/8.33 (v1(constB40)),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 12.27/8.33 tff(6659,plain,
% 12.27/8.33 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v1(constB40)) | (~v102(constB40))),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6660,plain,
% 12.27/8.33 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v102(constB40))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6659, 6658])).
% 12.27/8.33 tff(6661,plain,
% 12.27/8.33 (~((~v1(constB40)) | (~v102(constB40)))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6660, 6655])).
% 12.27/8.33 tff(6662,plain,
% 12.27/8.33 ((~(v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))) | v101(constB40) | ((~v1(constB40)) | (~v102(constB40)))),
% 12.27/8.33 inference(tautology,[status(thm)],[])).
% 12.27/8.33 tff(6663,plain,
% 12.27/8.33 (v101(constB40)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6662, 6661, 6639])).
% 12.27/8.33 tff(6664,plain,
% 12.27/8.33 (((~![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)))),
% 12.27/8.33 inference(rewrite,[status(thm)],[])).
% 12.27/8.33 tff(6665,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6666,plain,
% 12.27/8.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39))),
% 12.27/8.33 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 12.27/8.33 tff(6667,plain,
% 12.27/8.33 (v110(constB40) <=> v108(constB39)),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6666, 6628, 722])).
% 12.27/8.33 tff(6668,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB39) <=> (v111(constB39) | v112(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6669,plain,
% 12.27/8.33 (v108(constB39) <=> (v111(constB39) | v112(constB39))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6668, 733])).
% 12.27/8.33 tff(6670,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6671,plain,
% 12.27/8.33 (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39))))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6670, 745])).
% 12.27/8.33 tff(6672,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB39) <=> (v114(constB39) | v125(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6673,plain,
% 12.27/8.33 (v113(constB39) <=> (v114(constB39) | v125(constB39))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6672, 754])).
% 12.27/8.33 tff(6674,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB39) <=> (v115(constB39) | v124(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6675,plain,
% 12.27/8.33 (v114(constB39) <=> (v115(constB39) | v124(constB39))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6674, 763])).
% 12.27/8.33 tff(6676,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB39) <=> (v116(constB39) | v123(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6677,plain,
% 12.27/8.33 (v115(constB39) <=> (v116(constB39) | v123(constB39))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6676, 772])).
% 12.27/8.33 tff(6678,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB39) <=> (v117(constB39) | v122(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6679,plain,
% 12.27/8.33 (v116(constB39) <=> (v117(constB39) | v122(constB39))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6678, 885])).
% 12.27/8.33 tff(6680,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB39) <=> (v118(constB39) | v121(constB39)))),
% 12.27/8.33 inference(quant_inst,[status(thm)],[])).
% 12.27/8.33 tff(6681,plain,
% 12.27/8.33 (v117(constB39) <=> (v118(constB39) | v121(constB39))),
% 12.27/8.33 inference(unit_resolution,[status(thm)],[6680, 1000])).
% 12.27/8.33 tff(6682,plain,
% 12.27/8.33 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB39) <=> (v119(constB39) | v120(constB39)))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6683,plain,
% 12.33/8.34 (v118(constB39) <=> (v119(constB39) | v120(constB39))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6682, 1117])).
% 12.33/8.34 tff(6684,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6685,plain,
% 12.33/8.34 ((v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0))))) <=> (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6686,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(monotonicity,[status(thm)],[6685])).
% 12.33/8.34 tff(6687,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(transitivity,[status(thm)],[6686, 6684])).
% 12.33/8.34 tff(6688,plain,
% 12.33/8.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6689,plain,
% 12.33/8.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6688, 6687])).
% 12.33/8.34 tff(6690,plain,
% 12.33/8.34 (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6689, 1132])).
% 12.33/8.34 tff(6691,plain,
% 12.33/8.34 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6692,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38')).
% 12.33/8.34 tff(6693,plain,
% 12.33/8.34 (nextState(constB38, constB39)),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6692, 6691])).
% 12.33/8.34 tff(6694,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6695,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6696,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6695, 6694])).
% 12.33/8.34 tff(6697,plain,
% 12.33/8.34 (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6696, 6693, 596])).
% 12.33/8.34 tff(6698,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6699,plain,
% 12.33/8.34 (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6700,plain,
% 12.33/8.34 (((~![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)))))))),
% 12.33/8.34 inference(monotonicity,[status(thm)],[6699])).
% 12.33/8.34 tff(6701,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(transitivity,[status(thm)],[6700, 6698])).
% 12.33/8.34 tff(6702,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6703,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 12.33/8.34 tff(6704,plain,
% 12.33/8.34 (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6703, 6693, 616])).
% 12.33/8.34 tff(6705,plain,
% 12.33/8.34 (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 12.33/8.34 inference(tautology,[status(thm)],[])).
% 12.33/8.34 tff(6706,plain,
% 12.33/8.34 ((~v1(constB39)) | (~v102(constB39))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6705, 6650])).
% 12.33/8.34 tff(6707,plain,
% 12.33/8.34 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 12.33/8.34 inference(tautology,[status(thm)],[])).
% 12.33/8.34 tff(6708,plain,
% 12.33/8.34 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6707, 6706])).
% 12.33/8.34 tff(6709,plain,
% 12.33/8.34 (~v101(constB39)),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6708, 6704])).
% 12.33/8.34 tff(6710,plain,
% 12.33/8.34 (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 12.33/8.34 inference(tautology,[status(thm)],[])).
% 12.33/8.34 tff(6711,plain,
% 12.33/8.34 ((~v101(constB39)) | (~v110(constB39))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6710, 6709])).
% 12.33/8.34 tff(6712,plain,
% 12.33/8.34 ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 12.33/8.34 inference(tautology,[status(thm)],[])).
% 12.33/8.34 tff(6713,plain,
% 12.33/8.34 (~v100(constB39)),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6712, 6711, 6697])).
% 12.33/8.34 tff(6714,plain,
% 12.33/8.34 (((~![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))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6715,plain,
% 12.33/8.34 ((~![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))))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6716,plain,
% 12.33/8.34 ((~![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)))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 12.33/8.34 tff(6717,plain,
% 12.33/8.34 (v100(constB39) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6716, 6693, 645])).
% 12.33/8.34 tff(6718,plain,
% 12.33/8.34 (![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6717, 6713])).
% 12.33/8.34 tff(6719,plain,
% 12.33/8.34 (((~![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)))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6720,plain,
% 12.33/8.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6721,plain,
% 12.33/8.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6720, 6719])).
% 12.33/8.34 tff(6722,plain,
% 12.33/8.34 (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6721, 579, 6718])).
% 12.33/8.34 tff(6723,plain,
% 12.33/8.34 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6724,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37')).
% 12.33/8.34 tff(6725,plain,
% 12.33/8.34 (nextState(constB37, constB38)),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 12.33/8.34 tff(6726,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6727,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6728,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 12.33/8.34 tff(6729,plain,
% 12.33/8.34 (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6728, 6725, 596])).
% 12.33/8.34 tff(6730,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6731,plain,
% 12.33/8.34 (((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6732,plain,
% 12.33/8.34 (((~![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)))))))),
% 12.33/8.34 inference(monotonicity,[status(thm)],[6731])).
% 12.33/8.34 tff(6733,plain,
% 12.33/8.34 (((~![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))))))),
% 12.33/8.34 inference(transitivity,[status(thm)],[6732, 6730])).
% 12.33/8.34 tff(6734,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6735,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 12.33/8.34 tff(6736,plain,
% 12.33/8.34 (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))),
% 12.33/8.34 inference(unit_resolution,[status(thm)],[6735, 6725, 616])).
% 12.33/8.34 tff(6737,plain,
% 12.33/8.34 (((~![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)))),
% 12.33/8.34 inference(rewrite,[status(thm)],[])).
% 12.33/8.34 tff(6738,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 12.33/8.34 inference(quant_inst,[status(thm)],[])).
% 12.33/8.34 tff(6739,plain,
% 12.33/8.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38))),
% 12.33/8.34 inference(modus_ponens,[status(thm)],[6738, 6737])).
% 12.33/8.34 tff(6740,plain,
% 12.33/8.34 ((~v102(constB38)) <=> v104(constB38)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6739, 6725, 678])).
% 12.33/8.35 tff(6741,plain,
% 12.33/8.35 (((~![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)))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6742,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6743,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 12.33/8.35 tff(6744,plain,
% 12.33/8.35 (v104(constB38) <=> v1(constB37)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6743, 6725, 692])).
% 12.33/8.35 tff(6745,plain,
% 12.33/8.35 ((~v1(constB37)) <=> (~v1(constB37))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6746,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37')).
% 12.33/8.35 tff(6747,plain,
% 12.33/8.35 (~v1(constB37)),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 12.33/8.35 tff(6748,plain,
% 12.33/8.35 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38)) | v1(constB37)),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6749,plain,
% 12.33/8.35 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6748, 6747])).
% 12.33/8.35 tff(6750,plain,
% 12.33/8.35 (~v104(constB38)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6749, 6744])).
% 12.33/8.35 tff(6751,plain,
% 12.33/8.35 ((~((~v102(constB38)) <=> v104(constB38))) | v102(constB38) | v104(constB38)),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6752,plain,
% 12.33/8.35 (v102(constB38)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6751, 6750, 6740])).
% 12.33/8.35 tff(6753,plain,
% 12.33/8.35 (v1(constB38) <=> v1(constB38)),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6754,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38')).
% 12.33/8.35 tff(6755,plain,
% 12.33/8.35 (v1(constB38)),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 12.33/8.35 tff(6756,plain,
% 12.33/8.35 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v1(constB38)) | (~v102(constB38))),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6757,plain,
% 12.33/8.35 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v102(constB38))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6756, 6755])).
% 12.33/8.35 tff(6758,plain,
% 12.33/8.35 (~((~v1(constB38)) | (~v102(constB38)))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6757, 6752])).
% 12.33/8.35 tff(6759,plain,
% 12.33/8.35 ((~(v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))) | v101(constB38) | ((~v1(constB38)) | (~v102(constB38)))),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6760,plain,
% 12.33/8.35 (v101(constB38)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6759, 6758, 6736])).
% 12.33/8.35 tff(6761,plain,
% 12.33/8.35 (((~![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)))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6762,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6763,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 12.33/8.35 tff(6764,plain,
% 12.33/8.35 (v110(constB38) <=> v108(constB37)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6763, 6725, 722])).
% 12.33/8.35 tff(6765,plain,
% 12.33/8.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB37) <=> (v111(constB37) | v112(constB37)))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6766,plain,
% 12.33/8.35 (v108(constB37) <=> (v111(constB37) | v112(constB37))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6765, 733])).
% 12.33/8.35 tff(6767,plain,
% 12.33/8.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6768,plain,
% 12.33/8.35 (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37))))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6767, 745])).
% 12.33/8.35 tff(6769,plain,
% 12.33/8.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB37) <=> (v114(constB37) | v125(constB37)))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6770,plain,
% 12.33/8.35 (v113(constB37) <=> (v114(constB37) | v125(constB37))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6769, 754])).
% 12.33/8.35 tff(6771,plain,
% 12.33/8.35 (((~![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)))))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6772,plain,
% 12.33/8.35 ((v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2))))) <=> (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6773,plain,
% 12.33/8.35 (((~![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)))))),
% 12.33/8.35 inference(monotonicity,[status(thm)],[6772])).
% 12.33/8.35 tff(6774,plain,
% 12.33/8.35 (((~![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)))))),
% 12.33/8.35 inference(transitivity,[status(thm)],[6773, 6771])).
% 12.33/8.35 tff(6775,plain,
% 12.33/8.35 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6776,plain,
% 12.33/8.35 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 12.33/8.35 tff(6777,plain,
% 12.33/8.35 (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6776, 3458])).
% 12.33/8.35 tff(6778,plain,
% 12.33/8.35 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6779,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36')).
% 12.33/8.35 tff(6780,plain,
% 12.33/8.35 (nextState(constB36, constB37)),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 12.33/8.35 tff(6781,plain,
% 12.33/8.35 (((~![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))))))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6782,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6783,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 12.33/8.35 tff(6784,plain,
% 12.33/8.35 (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6783, 6780, 596])).
% 12.33/8.35 tff(6785,plain,
% 12.33/8.35 (((~![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))))))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6786,plain,
% 12.33/8.35 (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6787,plain,
% 12.33/8.35 (((~![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)))))))),
% 12.33/8.35 inference(monotonicity,[status(thm)],[6786])).
% 12.33/8.35 tff(6788,plain,
% 12.33/8.35 (((~![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))))))),
% 12.33/8.35 inference(transitivity,[status(thm)],[6787, 6785])).
% 12.33/8.35 tff(6789,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6790,plain,
% 12.33/8.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6789, 6788])).
% 12.33/8.35 tff(6791,plain,
% 12.33/8.35 (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6790, 6780, 616])).
% 12.33/8.35 tff(6792,plain,
% 12.33/8.35 (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6793,plain,
% 12.33/8.35 ((~v1(constB37)) | (~v102(constB37))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6792, 6747])).
% 12.33/8.35 tff(6794,plain,
% 12.33/8.35 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6795,plain,
% 12.33/8.35 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6794, 6793])).
% 12.33/8.35 tff(6796,plain,
% 12.33/8.35 (~v101(constB37)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6795, 6791])).
% 12.33/8.35 tff(6797,plain,
% 12.33/8.35 (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6798,plain,
% 12.33/8.35 ((~v101(constB37)) | (~v110(constB37))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6797, 6796])).
% 12.33/8.35 tff(6799,plain,
% 12.33/8.35 ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 12.33/8.35 inference(tautology,[status(thm)],[])).
% 12.33/8.35 tff(6800,plain,
% 12.33/8.35 (~v100(constB37)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6799, 6798, 6784])).
% 12.33/8.35 tff(6801,plain,
% 12.33/8.35 (((~![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))))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6802,plain,
% 12.33/8.35 ((~![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))))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6803,plain,
% 12.33/8.35 ((~![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)))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 12.33/8.35 tff(6804,plain,
% 12.33/8.35 (v100(constB37) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6803, 6780, 645])).
% 12.33/8.35 tff(6805,plain,
% 12.33/8.35 (![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6804, 6800])).
% 12.33/8.35 tff(6806,plain,
% 12.33/8.35 (((~![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)))),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6807,plain,
% 12.33/8.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))),
% 12.33/8.35 inference(quant_inst,[status(thm)],[])).
% 12.33/8.35 tff(6808,plain,
% 12.33/8.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2))),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6807, 6806])).
% 12.33/8.35 tff(6809,plain,
% 12.33/8.35 (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)),
% 12.33/8.35 inference(unit_resolution,[status(thm)],[6808, 579, 6805])).
% 12.33/8.35 tff(6810,plain,
% 12.33/8.35 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 12.33/8.35 inference(rewrite,[status(thm)],[])).
% 12.33/8.35 tff(6811,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35')).
% 12.33/8.35 tff(6812,plain,
% 12.33/8.35 (nextState(constB35, constB36)),
% 12.33/8.35 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 12.35/8.36 tff(6813,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6814,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6815,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 12.35/8.36 tff(6816,plain,
% 12.35/8.36 (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6815, 6812, 596])).
% 12.35/8.36 tff(6817,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6818,plain,
% 12.35/8.36 (((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6819,plain,
% 12.35/8.36 (((~![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)))))))),
% 12.35/8.36 inference(monotonicity,[status(thm)],[6818])).
% 12.35/8.36 tff(6820,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(transitivity,[status(thm)],[6819, 6817])).
% 12.35/8.36 tff(6821,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6822,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 12.35/8.36 tff(6823,plain,
% 12.35/8.36 (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6822, 6812, 616])).
% 12.35/8.36 tff(6824,plain,
% 12.35/8.36 (((~![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)))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6825,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6826,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6825, 6824])).
% 12.35/8.36 tff(6827,plain,
% 12.35/8.36 ((~v102(constB36)) <=> v104(constB36)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6826, 6812, 678])).
% 12.35/8.36 tff(6828,plain,
% 12.35/8.36 (((~![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)))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6829,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6830,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 12.35/8.36 tff(6831,plain,
% 12.35/8.36 (v104(constB36) <=> v1(constB35)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6830, 6812, 692])).
% 12.35/8.36 tff(6832,plain,
% 12.35/8.36 ((~v1(constB35)) <=> (~v1(constB35))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6833,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35')).
% 12.35/8.36 tff(6834,plain,
% 12.35/8.36 (~v1(constB35)),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6833, 6832])).
% 12.35/8.36 tff(6835,plain,
% 12.35/8.36 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36)) | v1(constB35)),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6836,plain,
% 12.35/8.36 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6835, 6834])).
% 12.35/8.36 tff(6837,plain,
% 12.35/8.36 (~v104(constB36)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6836, 6831])).
% 12.35/8.36 tff(6838,plain,
% 12.35/8.36 ((~((~v102(constB36)) <=> v104(constB36))) | v102(constB36) | v104(constB36)),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6839,plain,
% 12.35/8.36 (v102(constB36)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6838, 6837, 6827])).
% 12.35/8.36 tff(6840,plain,
% 12.35/8.36 (v1(constB36) <=> v1(constB36)),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6841,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36')).
% 12.35/8.36 tff(6842,plain,
% 12.35/8.36 (v1(constB36)),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6841, 6840])).
% 12.35/8.36 tff(6843,plain,
% 12.35/8.36 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v1(constB36)) | (~v102(constB36))),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6844,plain,
% 12.35/8.36 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v102(constB36))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6843, 6842])).
% 12.35/8.36 tff(6845,plain,
% 12.35/8.36 (~((~v1(constB36)) | (~v102(constB36)))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6844, 6839])).
% 12.35/8.36 tff(6846,plain,
% 12.35/8.36 ((~(v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))) | v101(constB36) | ((~v1(constB36)) | (~v102(constB36)))),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6847,plain,
% 12.35/8.36 (v101(constB36)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6846, 6845, 6823])).
% 12.35/8.36 tff(6848,plain,
% 12.35/8.36 (((~![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)))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6849,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6850,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 12.35/8.36 tff(6851,plain,
% 12.35/8.36 (v110(constB36) <=> v108(constB35)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6850, 6812, 722])).
% 12.35/8.36 tff(6852,plain,
% 12.35/8.36 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB35) <=> (v111(constB35) | v112(constB35)))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6853,plain,
% 12.35/8.36 (v108(constB35) <=> (v111(constB35) | v112(constB35))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6852, 733])).
% 12.35/8.36 tff(6854,plain,
% 12.35/8.36 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6855,plain,
% 12.35/8.36 (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35))))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6854, 745])).
% 12.35/8.36 tff(6856,plain,
% 12.35/8.36 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB35) <=> (v114(constB35) | v125(constB35)))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6857,plain,
% 12.35/8.36 (v113(constB35) <=> (v114(constB35) | v125(constB35))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6856, 754])).
% 12.35/8.36 tff(6858,plain,
% 12.35/8.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB35) <=> (v115(constB35) | v124(constB35)))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6859,plain,
% 12.35/8.36 (v114(constB35) <=> (v115(constB35) | v124(constB35))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6858, 763])).
% 12.35/8.36 tff(6860,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6861,plain,
% 12.35/8.36 ((v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2))))) <=> (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6862,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(monotonicity,[status(thm)],[6861])).
% 12.35/8.36 tff(6863,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(transitivity,[status(thm)],[6862, 6860])).
% 12.35/8.36 tff(6864,plain,
% 12.35/8.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6865,plain,
% 12.35/8.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 12.35/8.36 tff(6866,plain,
% 12.35/8.36 (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6865, 2651])).
% 12.35/8.36 tff(6867,plain,
% 12.35/8.36 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6868,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34')).
% 12.35/8.36 tff(6869,plain,
% 12.35/8.36 (nextState(constB34, constB35)),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 12.35/8.36 tff(6870,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6871,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6872,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6871, 6870])).
% 12.35/8.36 tff(6873,plain,
% 12.35/8.36 (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6872, 6869, 596])).
% 12.35/8.36 tff(6874,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6875,plain,
% 12.35/8.36 (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6876,plain,
% 12.35/8.36 (((~![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)))))))),
% 12.35/8.36 inference(monotonicity,[status(thm)],[6875])).
% 12.35/8.36 tff(6877,plain,
% 12.35/8.36 (((~![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))))))),
% 12.35/8.36 inference(transitivity,[status(thm)],[6876, 6874])).
% 12.35/8.36 tff(6878,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6879,plain,
% 12.35/8.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 12.35/8.36 tff(6880,plain,
% 12.35/8.36 (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6879, 6869, 616])).
% 12.35/8.36 tff(6881,plain,
% 12.35/8.36 (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6882,plain,
% 12.35/8.36 ((~v1(constB35)) | (~v102(constB35))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6881, 6834])).
% 12.35/8.36 tff(6883,plain,
% 12.35/8.36 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6884,plain,
% 12.35/8.36 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6883, 6882])).
% 12.35/8.36 tff(6885,plain,
% 12.35/8.36 (~v101(constB35)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6884, 6880])).
% 12.35/8.36 tff(6886,plain,
% 12.35/8.36 (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6887,plain,
% 12.35/8.36 ((~v101(constB35)) | (~v110(constB35))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6886, 6885])).
% 12.35/8.36 tff(6888,plain,
% 12.35/8.36 ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 12.35/8.36 inference(tautology,[status(thm)],[])).
% 12.35/8.36 tff(6889,plain,
% 12.35/8.36 (~v100(constB35)),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6888, 6887, 6873])).
% 12.35/8.36 tff(6890,plain,
% 12.35/8.36 (((~![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))))),
% 12.35/8.36 inference(rewrite,[status(thm)],[])).
% 12.35/8.36 tff(6891,plain,
% 12.35/8.36 ((~![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))))),
% 12.35/8.36 inference(quant_inst,[status(thm)],[])).
% 12.35/8.36 tff(6892,plain,
% 12.35/8.36 ((~![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)))),
% 12.35/8.36 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 12.35/8.36 tff(6893,plain,
% 12.35/8.36 (v100(constB35) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6892, 6869, 645])).
% 12.35/8.36 tff(6894,plain,
% 12.35/8.36 (![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 12.35/8.36 inference(unit_resolution,[status(thm)],[6893, 6889])).
% 12.35/8.36 tff(6895,plain,
% 12.35/8.36 (((~![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)))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6896,plain,
% 12.35/8.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6897,plain,
% 12.35/8.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 12.35/8.37 tff(6898,plain,
% 12.35/8.37 (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6897, 579, 6894])).
% 12.35/8.37 tff(6899,plain,
% 12.35/8.37 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6900,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33')).
% 12.35/8.37 tff(6901,plain,
% 12.35/8.37 (nextState(constB33, constB34)),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 12.35/8.37 tff(6902,plain,
% 12.35/8.37 (((~![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))))))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6903,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6904,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 12.35/8.37 tff(6905,plain,
% 12.35/8.37 (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6904, 6901, 596])).
% 12.35/8.37 tff(6906,plain,
% 12.35/8.37 (((~![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))))))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6907,plain,
% 12.35/8.37 (((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6908,plain,
% 12.35/8.37 (((~![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)))))))),
% 12.35/8.37 inference(monotonicity,[status(thm)],[6907])).
% 12.35/8.37 tff(6909,plain,
% 12.35/8.37 (((~![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))))))),
% 12.35/8.37 inference(transitivity,[status(thm)],[6908, 6906])).
% 12.35/8.37 tff(6910,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6911,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 12.35/8.37 tff(6912,plain,
% 12.35/8.37 (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6911, 6901, 616])).
% 12.35/8.37 tff(6913,plain,
% 12.35/8.37 (((~![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)))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6914,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6915,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 12.35/8.37 tff(6916,plain,
% 12.35/8.37 ((~v102(constB34)) <=> v104(constB34)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6915, 6901, 678])).
% 12.35/8.37 tff(6917,plain,
% 12.35/8.37 (((~![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)))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6918,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6919,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6918, 6917])).
% 12.35/8.37 tff(6920,plain,
% 12.35/8.37 (v104(constB34) <=> v1(constB33)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6919, 6901, 692])).
% 12.35/8.37 tff(6921,plain,
% 12.35/8.37 ((~v1(constB33)) <=> (~v1(constB33))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6922,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33')).
% 12.35/8.37 tff(6923,plain,
% 12.35/8.37 (~v1(constB33)),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 12.35/8.37 tff(6924,plain,
% 12.35/8.37 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34)) | v1(constB33)),
% 12.35/8.37 inference(tautology,[status(thm)],[])).
% 12.35/8.37 tff(6925,plain,
% 12.35/8.37 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6924, 6923])).
% 12.35/8.37 tff(6926,plain,
% 12.35/8.37 (~v104(constB34)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6925, 6920])).
% 12.35/8.37 tff(6927,plain,
% 12.35/8.37 ((~((~v102(constB34)) <=> v104(constB34))) | v102(constB34) | v104(constB34)),
% 12.35/8.37 inference(tautology,[status(thm)],[])).
% 12.35/8.37 tff(6928,plain,
% 12.35/8.37 (v102(constB34)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6927, 6926, 6916])).
% 12.35/8.37 tff(6929,plain,
% 12.35/8.37 (v1(constB34) <=> v1(constB34)),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6930,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34')).
% 12.35/8.37 tff(6931,plain,
% 12.35/8.37 (v1(constB34)),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 12.35/8.37 tff(6932,plain,
% 12.35/8.37 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v1(constB34)) | (~v102(constB34))),
% 12.35/8.37 inference(tautology,[status(thm)],[])).
% 12.35/8.37 tff(6933,plain,
% 12.35/8.37 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v102(constB34))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6932, 6931])).
% 12.35/8.37 tff(6934,plain,
% 12.35/8.37 (~((~v1(constB34)) | (~v102(constB34)))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6933, 6928])).
% 12.35/8.37 tff(6935,plain,
% 12.35/8.37 ((~(v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))) | v101(constB34) | ((~v1(constB34)) | (~v102(constB34)))),
% 12.35/8.37 inference(tautology,[status(thm)],[])).
% 12.35/8.37 tff(6936,plain,
% 12.35/8.37 (v101(constB34)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6935, 6934, 6912])).
% 12.35/8.37 tff(6937,plain,
% 12.35/8.37 (((~![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)))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6938,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6939,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6938, 6937])).
% 12.35/8.37 tff(6940,plain,
% 12.35/8.37 (v110(constB34) <=> v108(constB33)),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6939, 6901, 722])).
% 12.35/8.37 tff(6941,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB33) <=> (v111(constB33) | v112(constB33)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6942,plain,
% 12.35/8.37 (v108(constB33) <=> (v111(constB33) | v112(constB33))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6941, 733])).
% 12.35/8.37 tff(6943,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6944,plain,
% 12.35/8.37 (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33))))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6943, 745])).
% 12.35/8.37 tff(6945,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB33) <=> (v114(constB33) | v125(constB33)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6946,plain,
% 12.35/8.37 (v113(constB33) <=> (v114(constB33) | v125(constB33))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6945, 754])).
% 12.35/8.37 tff(6947,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB33) <=> (v115(constB33) | v124(constB33)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6948,plain,
% 12.35/8.37 (v114(constB33) <=> (v115(constB33) | v124(constB33))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6947, 763])).
% 12.35/8.37 tff(6949,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB33) <=> (v116(constB33) | v123(constB33)))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6950,plain,
% 12.35/8.37 (v115(constB33) <=> (v116(constB33) | v123(constB33))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6949, 772])).
% 12.35/8.37 tff(6951,plain,
% 12.35/8.37 (((~![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)))))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6952,plain,
% 12.35/8.37 ((v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))))) <=> (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6953,plain,
% 12.35/8.37 (((~![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)))))),
% 12.35/8.37 inference(monotonicity,[status(thm)],[6952])).
% 12.35/8.37 tff(6954,plain,
% 12.35/8.37 (((~![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)))))),
% 12.35/8.37 inference(transitivity,[status(thm)],[6953, 6951])).
% 12.35/8.37 tff(6955,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6956,plain,
% 12.35/8.37 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6955, 6954])).
% 12.35/8.37 tff(6957,plain,
% 12.35/8.37 (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6956, 787])).
% 12.35/8.37 tff(6958,plain,
% 12.35/8.37 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6959,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32')).
% 12.35/8.37 tff(6960,plain,
% 12.35/8.37 (nextState(constB32, constB33)),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 12.35/8.37 tff(6961,plain,
% 12.35/8.37 (((~![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))))))),
% 12.35/8.37 inference(rewrite,[status(thm)],[])).
% 12.35/8.37 tff(6962,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 12.35/8.37 inference(quant_inst,[status(thm)],[])).
% 12.35/8.37 tff(6963,plain,
% 12.35/8.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 12.35/8.37 inference(modus_ponens,[status(thm)],[6962, 6961])).
% 12.35/8.37 tff(6964,plain,
% 12.35/8.37 (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 12.35/8.37 inference(unit_resolution,[status(thm)],[6963, 6960, 596])).
% 12.35/8.37 tff(6965,plain,
% 12.35/8.37 (((~![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))))))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6966,plain,
% 12.35/8.38 (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6967,plain,
% 12.35/8.38 (((~![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)))))))),
% 12.35/8.38 inference(monotonicity,[status(thm)],[6966])).
% 12.35/8.38 tff(6968,plain,
% 12.35/8.38 (((~![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))))))),
% 12.35/8.38 inference(transitivity,[status(thm)],[6967, 6965])).
% 12.35/8.38 tff(6969,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(6970,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 12.35/8.38 tff(6971,plain,
% 12.35/8.38 (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6970, 6960, 616])).
% 12.35/8.38 tff(6972,plain,
% 12.35/8.38 (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(6973,plain,
% 12.35/8.38 ((~v1(constB33)) | (~v102(constB33))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6972, 6923])).
% 12.35/8.38 tff(6974,plain,
% 12.35/8.38 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(6975,plain,
% 12.35/8.38 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6974, 6973])).
% 12.35/8.38 tff(6976,plain,
% 12.35/8.38 (~v101(constB33)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6975, 6971])).
% 12.35/8.38 tff(6977,plain,
% 12.35/8.38 (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(6978,plain,
% 12.35/8.38 ((~v101(constB33)) | (~v110(constB33))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6977, 6976])).
% 12.35/8.38 tff(6979,plain,
% 12.35/8.38 ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(6980,plain,
% 12.35/8.38 (~v100(constB33)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6979, 6978, 6964])).
% 12.35/8.38 tff(6981,plain,
% 12.35/8.38 (((~![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))))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6982,plain,
% 12.35/8.38 ((~![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))))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(6983,plain,
% 12.35/8.38 ((~![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)))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 12.35/8.38 tff(6984,plain,
% 12.35/8.38 (v100(constB33) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6983, 6960, 645])).
% 12.35/8.38 tff(6985,plain,
% 12.35/8.38 (![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6984, 6980])).
% 12.35/8.38 tff(6986,plain,
% 12.35/8.38 (((~![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)))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6987,plain,
% 12.35/8.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(6988,plain,
% 12.35/8.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 12.35/8.38 tff(6989,plain,
% 12.35/8.38 (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6988, 579, 6985])).
% 12.35/8.38 tff(6990,plain,
% 12.35/8.38 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6991,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31')).
% 12.35/8.38 tff(6992,plain,
% 12.35/8.38 (nextState(constB31, constB32)),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 12.35/8.38 tff(6993,plain,
% 12.35/8.38 (((~![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))))))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6994,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(6995,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 12.35/8.38 tff(6996,plain,
% 12.35/8.38 (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[6995, 6992, 596])).
% 12.35/8.38 tff(6997,plain,
% 12.35/8.38 (((~![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))))))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6998,plain,
% 12.35/8.38 (((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(6999,plain,
% 12.35/8.38 (((~![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)))))))),
% 12.35/8.38 inference(monotonicity,[status(thm)],[6998])).
% 12.35/8.38 tff(7000,plain,
% 12.35/8.38 (((~![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))))))),
% 12.35/8.38 inference(transitivity,[status(thm)],[6999, 6997])).
% 12.35/8.38 tff(7001,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(7002,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[7001, 7000])).
% 12.35/8.38 tff(7003,plain,
% 12.35/8.38 (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7002, 6992, 616])).
% 12.35/8.38 tff(7004,plain,
% 12.35/8.38 (((~![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)))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(7005,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(7006,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 12.35/8.38 tff(7007,plain,
% 12.35/8.38 ((~v102(constB32)) <=> v104(constB32)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7006, 6992, 678])).
% 12.35/8.38 tff(7008,plain,
% 12.35/8.38 (((~![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)))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(7009,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(7010,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 12.35/8.38 tff(7011,plain,
% 12.35/8.38 (v104(constB32) <=> v1(constB31)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7010, 6992, 692])).
% 12.35/8.38 tff(7012,plain,
% 12.35/8.38 ((~v1(constB31)) <=> (~v1(constB31))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(7013,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31')).
% 12.35/8.38 tff(7014,plain,
% 12.35/8.38 (~v1(constB31)),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 12.35/8.38 tff(7015,plain,
% 12.35/8.38 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32)) | v1(constB31)),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(7016,plain,
% 12.35/8.38 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7015, 7014])).
% 12.35/8.38 tff(7017,plain,
% 12.35/8.38 (~v104(constB32)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7016, 7011])).
% 12.35/8.38 tff(7018,plain,
% 12.35/8.38 ((~((~v102(constB32)) <=> v104(constB32))) | v102(constB32) | v104(constB32)),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(7019,plain,
% 12.35/8.38 (v102(constB32)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7018, 7017, 7007])).
% 12.35/8.38 tff(7020,plain,
% 12.35/8.38 (v1(constB32) <=> v1(constB32)),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(7021,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32')).
% 12.35/8.38 tff(7022,plain,
% 12.35/8.38 (v1(constB32)),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 12.35/8.38 tff(7023,plain,
% 12.35/8.38 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v1(constB32)) | (~v102(constB32))),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(7024,plain,
% 12.35/8.38 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v102(constB32))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7023, 7022])).
% 12.35/8.38 tff(7025,plain,
% 12.35/8.38 (~((~v1(constB32)) | (~v102(constB32)))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7024, 7019])).
% 12.35/8.38 tff(7026,plain,
% 12.35/8.38 ((~(v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))) | v101(constB32) | ((~v1(constB32)) | (~v102(constB32)))),
% 12.35/8.38 inference(tautology,[status(thm)],[])).
% 12.35/8.38 tff(7027,plain,
% 12.35/8.38 (v101(constB32)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7026, 7025, 7003])).
% 12.35/8.38 tff(7028,plain,
% 12.35/8.38 (((~![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)))),
% 12.35/8.38 inference(rewrite,[status(thm)],[])).
% 12.35/8.38 tff(7029,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(7030,plain,
% 12.35/8.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31))),
% 12.35/8.38 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 12.35/8.38 tff(7031,plain,
% 12.35/8.38 (v110(constB32) <=> v108(constB31)),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7030, 6992, 722])).
% 12.35/8.38 tff(7032,plain,
% 12.35/8.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB31) <=> (v111(constB31) | v112(constB31)))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(7033,plain,
% 12.35/8.38 (v108(constB31) <=> (v111(constB31) | v112(constB31))),
% 12.35/8.38 inference(unit_resolution,[status(thm)],[7032, 733])).
% 12.35/8.38 tff(7034,plain,
% 12.35/8.38 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))),
% 12.35/8.38 inference(quant_inst,[status(thm)],[])).
% 12.35/8.38 tff(7035,plain,
% 12.35/8.38 (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31))))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7034, 745])).
% 12.35/8.39 tff(7036,plain,
% 12.35/8.39 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB31) <=> (v114(constB31) | v125(constB31)))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7037,plain,
% 12.35/8.39 (v113(constB31) <=> (v114(constB31) | v125(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7036, 754])).
% 12.35/8.39 tff(7038,plain,
% 12.35/8.39 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB31) <=> (v115(constB31) | v124(constB31)))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7039,plain,
% 12.35/8.39 (v114(constB31) <=> (v115(constB31) | v124(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7038, 763])).
% 12.35/8.39 tff(7040,plain,
% 12.35/8.39 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB31) <=> (v116(constB31) | v123(constB31)))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7041,plain,
% 12.35/8.39 (v115(constB31) <=> (v116(constB31) | v123(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7040, 772])).
% 12.35/8.39 tff(7042,plain,
% 12.35/8.39 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB31) <=> (v117(constB31) | v122(constB31)))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7043,plain,
% 12.35/8.39 (v116(constB31) <=> (v117(constB31) | v122(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7042, 885])).
% 12.35/8.39 tff(7044,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7045,plain,
% 12.35/8.39 ((v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1))))) <=> (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7046,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(monotonicity,[status(thm)],[7045])).
% 12.35/8.39 tff(7047,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(transitivity,[status(thm)],[7046, 7044])).
% 12.35/8.39 tff(7048,plain,
% 12.35/8.39 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7049,plain,
% 12.35/8.39 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 12.35/8.39 tff(7050,plain,
% 12.35/8.39 (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7049, 900])).
% 12.35/8.39 tff(7051,plain,
% 12.35/8.39 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7052,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30')).
% 12.35/8.39 tff(7053,plain,
% 12.35/8.39 (nextState(constB30, constB31)),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 12.35/8.39 tff(7054,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7055,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7056,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 12.35/8.39 tff(7057,plain,
% 12.35/8.39 (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7056, 7053, 596])).
% 12.35/8.39 tff(7058,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7059,plain,
% 12.35/8.39 (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7060,plain,
% 12.35/8.39 (((~![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)))))))),
% 12.35/8.39 inference(monotonicity,[status(thm)],[7059])).
% 12.35/8.39 tff(7061,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(transitivity,[status(thm)],[7060, 7058])).
% 12.35/8.39 tff(7062,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7063,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 12.35/8.39 tff(7064,plain,
% 12.35/8.39 (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7063, 7053, 616])).
% 12.35/8.39 tff(7065,plain,
% 12.35/8.39 (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 12.35/8.39 inference(tautology,[status(thm)],[])).
% 12.35/8.39 tff(7066,plain,
% 12.35/8.39 ((~v1(constB31)) | (~v102(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7065, 7014])).
% 12.35/8.39 tff(7067,plain,
% 12.35/8.39 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 12.35/8.39 inference(tautology,[status(thm)],[])).
% 12.35/8.39 tff(7068,plain,
% 12.35/8.39 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7067, 7066])).
% 12.35/8.39 tff(7069,plain,
% 12.35/8.39 (~v101(constB31)),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7068, 7064])).
% 12.35/8.39 tff(7070,plain,
% 12.35/8.39 (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 12.35/8.39 inference(tautology,[status(thm)],[])).
% 12.35/8.39 tff(7071,plain,
% 12.35/8.39 ((~v101(constB31)) | (~v110(constB31))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7070, 7069])).
% 12.35/8.39 tff(7072,plain,
% 12.35/8.39 ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 12.35/8.39 inference(tautology,[status(thm)],[])).
% 12.35/8.39 tff(7073,plain,
% 12.35/8.39 (~v100(constB31)),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7072, 7071, 7057])).
% 12.35/8.39 tff(7074,plain,
% 12.35/8.39 (((~![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))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7075,plain,
% 12.35/8.39 ((~![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))))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7076,plain,
% 12.35/8.39 ((~![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)))),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 12.35/8.39 tff(7077,plain,
% 12.35/8.39 (v100(constB31) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7076, 7053, 645])).
% 12.35/8.39 tff(7078,plain,
% 12.35/8.39 (![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7077, 7073])).
% 12.35/8.39 tff(7079,plain,
% 12.35/8.39 (((~![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)))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7080,plain,
% 12.35/8.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7081,plain,
% 12.35/8.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2))),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 12.35/8.39 tff(7082,plain,
% 12.35/8.39 (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7081, 579, 7078])).
% 12.35/8.39 tff(7083,plain,
% 12.35/8.39 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7084,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29')).
% 12.35/8.39 tff(7085,plain,
% 12.35/8.39 (nextState(constB29, constB30)),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 12.35/8.39 tff(7086,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7087,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7088,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))),
% 12.35/8.39 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 12.35/8.39 tff(7089,plain,
% 12.35/8.39 (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))),
% 12.35/8.39 inference(unit_resolution,[status(thm)],[7088, 7085, 596])).
% 12.35/8.39 tff(7090,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7091,plain,
% 12.35/8.39 (((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 12.35/8.39 inference(rewrite,[status(thm)],[])).
% 12.35/8.39 tff(7092,plain,
% 12.35/8.39 (((~![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)))))))),
% 12.35/8.39 inference(monotonicity,[status(thm)],[7091])).
% 12.35/8.39 tff(7093,plain,
% 12.35/8.39 (((~![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))))))),
% 12.35/8.39 inference(transitivity,[status(thm)],[7092, 7090])).
% 12.35/8.39 tff(7094,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))),
% 12.35/8.39 inference(quant_inst,[status(thm)],[])).
% 12.35/8.39 tff(7095,plain,
% 12.35/8.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7094, 7093])).
% 12.35/8.40 tff(7096,plain,
% 12.35/8.40 (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7095, 7085, 616])).
% 12.35/8.40 tff(7097,plain,
% 12.35/8.40 (((~![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)))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7098,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7099,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 12.35/8.40 tff(7100,plain,
% 12.35/8.40 ((~v102(constB30)) <=> v104(constB30)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7099, 7085, 678])).
% 12.35/8.40 tff(7101,plain,
% 12.35/8.40 (((~![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)))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7102,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7103,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 12.35/8.40 tff(7104,plain,
% 12.35/8.40 (v104(constB30) <=> v1(constB29)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7103, 7085, 692])).
% 12.35/8.40 tff(7105,plain,
% 12.35/8.40 ((~v1(constB29)) <=> (~v1(constB29))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7106,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29')).
% 12.35/8.40 tff(7107,plain,
% 12.35/8.40 (~v1(constB29)),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7106, 7105])).
% 12.35/8.40 tff(7108,plain,
% 12.35/8.40 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30)) | v1(constB29)),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7109,plain,
% 12.35/8.40 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7108, 7107])).
% 12.35/8.40 tff(7110,plain,
% 12.35/8.40 (~v104(constB30)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7109, 7104])).
% 12.35/8.40 tff(7111,plain,
% 12.35/8.40 ((~((~v102(constB30)) <=> v104(constB30))) | v102(constB30) | v104(constB30)),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7112,plain,
% 12.35/8.40 (v102(constB30)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7111, 7110, 7100])).
% 12.35/8.40 tff(7113,plain,
% 12.35/8.40 (v1(constB30) <=> v1(constB30)),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7114,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30')).
% 12.35/8.40 tff(7115,plain,
% 12.35/8.40 (v1(constB30)),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 12.35/8.40 tff(7116,plain,
% 12.35/8.40 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v1(constB30)) | (~v102(constB30))),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7117,plain,
% 12.35/8.40 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v102(constB30))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7116, 7115])).
% 12.35/8.40 tff(7118,plain,
% 12.35/8.40 (~((~v1(constB30)) | (~v102(constB30)))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7117, 7112])).
% 12.35/8.40 tff(7119,plain,
% 12.35/8.40 ((~(v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))) | v101(constB30) | ((~v1(constB30)) | (~v102(constB30)))),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7120,plain,
% 12.35/8.40 (v101(constB30)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7119, 7118, 7096])).
% 12.35/8.40 tff(7121,plain,
% 12.35/8.40 (((~![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)))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7122,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7123,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7122, 7121])).
% 12.35/8.40 tff(7124,plain,
% 12.35/8.40 (v110(constB30) <=> v108(constB29)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7123, 7085, 722])).
% 12.35/8.40 tff(7125,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB29) <=> (v111(constB29) | v112(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7126,plain,
% 12.35/8.40 (v108(constB29) <=> (v111(constB29) | v112(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7125, 733])).
% 12.35/8.40 tff(7127,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7128,plain,
% 12.35/8.40 (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29))))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7127, 745])).
% 12.35/8.40 tff(7129,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB29) <=> (v114(constB29) | v125(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7130,plain,
% 12.35/8.40 (v113(constB29) <=> (v114(constB29) | v125(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7129, 754])).
% 12.35/8.40 tff(7131,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB29) <=> (v115(constB29) | v124(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7132,plain,
% 12.35/8.40 (v114(constB29) <=> (v115(constB29) | v124(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7131, 763])).
% 12.35/8.40 tff(7133,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB29) <=> (v116(constB29) | v123(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7134,plain,
% 12.35/8.40 (v115(constB29) <=> (v116(constB29) | v123(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7133, 772])).
% 12.35/8.40 tff(7135,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB29) <=> (v117(constB29) | v122(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7136,plain,
% 12.35/8.40 (v116(constB29) <=> (v117(constB29) | v122(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7135, 885])).
% 12.35/8.40 tff(7137,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB29) <=> (v118(constB29) | v121(constB29)))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7138,plain,
% 12.35/8.40 (v117(constB29) <=> (v118(constB29) | v121(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7137, 1000])).
% 12.35/8.40 tff(7139,plain,
% 12.35/8.40 (((~![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)))))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7140,plain,
% 12.35/8.40 ((v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1))))) <=> (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7141,plain,
% 12.35/8.40 (((~![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)))))),
% 12.35/8.40 inference(monotonicity,[status(thm)],[7140])).
% 12.35/8.40 tff(7142,plain,
% 12.35/8.40 (((~![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)))))),
% 12.35/8.40 inference(transitivity,[status(thm)],[7141, 7139])).
% 12.35/8.40 tff(7143,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7144,plain,
% 12.35/8.40 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7143, 7142])).
% 12.35/8.40 tff(7145,plain,
% 12.35/8.40 (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7144, 1015])).
% 12.35/8.40 tff(7146,plain,
% 12.35/8.40 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7147,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28')).
% 12.35/8.40 tff(7148,plain,
% 12.35/8.40 (nextState(constB28, constB29)),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 12.35/8.40 tff(7149,plain,
% 12.35/8.40 (((~![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))))))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7150,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7151,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 12.35/8.40 tff(7152,plain,
% 12.35/8.40 (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7151, 7148, 596])).
% 12.35/8.40 tff(7153,plain,
% 12.35/8.40 (((~![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))))))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7154,plain,
% 12.35/8.40 (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 12.35/8.40 inference(rewrite,[status(thm)],[])).
% 12.35/8.40 tff(7155,plain,
% 12.35/8.40 (((~![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)))))))),
% 12.35/8.40 inference(monotonicity,[status(thm)],[7154])).
% 12.35/8.40 tff(7156,plain,
% 12.35/8.40 (((~![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))))))),
% 12.35/8.40 inference(transitivity,[status(thm)],[7155, 7153])).
% 12.35/8.40 tff(7157,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 12.35/8.40 inference(quant_inst,[status(thm)],[])).
% 12.35/8.40 tff(7158,plain,
% 12.35/8.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 12.35/8.40 inference(modus_ponens,[status(thm)],[7157, 7156])).
% 12.35/8.40 tff(7159,plain,
% 12.35/8.40 (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7158, 7148, 616])).
% 12.35/8.40 tff(7160,plain,
% 12.35/8.40 (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7161,plain,
% 12.35/8.40 ((~v1(constB29)) | (~v102(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7160, 7107])).
% 12.35/8.40 tff(7162,plain,
% 12.35/8.40 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7163,plain,
% 12.35/8.40 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7162, 7161])).
% 12.35/8.40 tff(7164,plain,
% 12.35/8.40 (~v101(constB29)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7163, 7159])).
% 12.35/8.40 tff(7165,plain,
% 12.35/8.40 (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7166,plain,
% 12.35/8.40 ((~v101(constB29)) | (~v110(constB29))),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7165, 7164])).
% 12.35/8.40 tff(7167,plain,
% 12.35/8.40 ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 12.35/8.40 inference(tautology,[status(thm)],[])).
% 12.35/8.40 tff(7168,plain,
% 12.35/8.40 (~v100(constB29)),
% 12.35/8.40 inference(unit_resolution,[status(thm)],[7167, 7166, 7152])).
% 12.35/8.40 tff(7169,plain,
% 12.35/8.40 (((~![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))))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7170,plain,
% 12.35/8.41 ((~![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))))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7171,plain,
% 12.35/8.41 ((~![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)))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 12.35/8.41 tff(7172,plain,
% 12.35/8.41 (v100(constB29) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7171, 7148, 645])).
% 12.35/8.41 tff(7173,plain,
% 12.35/8.41 (![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7172, 7168])).
% 12.35/8.41 tff(7174,plain,
% 12.35/8.41 (((~![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)))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7175,plain,
% 12.35/8.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7176,plain,
% 12.35/8.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 12.35/8.41 tff(7177,plain,
% 12.35/8.41 (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7176, 579, 7173])).
% 12.35/8.41 tff(7178,plain,
% 12.35/8.41 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7179,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27')).
% 12.35/8.41 tff(7180,plain,
% 12.35/8.41 (nextState(constB27, constB28)),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 12.35/8.41 tff(7181,plain,
% 12.35/8.41 (((~![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))))))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7182,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7183,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 12.35/8.41 tff(7184,plain,
% 12.35/8.41 (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7183, 7180, 596])).
% 12.35/8.41 tff(7185,plain,
% 12.35/8.41 (((~![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))))))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7186,plain,
% 12.35/8.41 (((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7187,plain,
% 12.35/8.41 (((~![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)))))))),
% 12.35/8.41 inference(monotonicity,[status(thm)],[7186])).
% 12.35/8.41 tff(7188,plain,
% 12.35/8.41 (((~![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))))))),
% 12.35/8.41 inference(transitivity,[status(thm)],[7187, 7185])).
% 12.35/8.41 tff(7189,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7190,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 12.35/8.41 tff(7191,plain,
% 12.35/8.41 (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7190, 7180, 616])).
% 12.35/8.41 tff(7192,plain,
% 12.35/8.41 (((~![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)))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7193,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7194,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 12.35/8.41 tff(7195,plain,
% 12.35/8.41 ((~v102(constB28)) <=> v104(constB28)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7194, 7180, 678])).
% 12.35/8.41 tff(7196,plain,
% 12.35/8.41 (((~![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)))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7197,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7198,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 12.35/8.41 tff(7199,plain,
% 12.35/8.41 (v104(constB28) <=> v1(constB27)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7198, 7180, 692])).
% 12.35/8.41 tff(7200,plain,
% 12.35/8.41 ((~v1(constB27)) <=> (~v1(constB27))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7201,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27')).
% 12.35/8.41 tff(7202,plain,
% 12.35/8.41 (~v1(constB27)),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7201, 7200])).
% 12.35/8.41 tff(7203,plain,
% 12.35/8.41 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28)) | v1(constB27)),
% 12.35/8.41 inference(tautology,[status(thm)],[])).
% 12.35/8.41 tff(7204,plain,
% 12.35/8.41 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7203, 7202])).
% 12.35/8.41 tff(7205,plain,
% 12.35/8.41 (~v104(constB28)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7204, 7199])).
% 12.35/8.41 tff(7206,plain,
% 12.35/8.41 ((~((~v102(constB28)) <=> v104(constB28))) | v102(constB28) | v104(constB28)),
% 12.35/8.41 inference(tautology,[status(thm)],[])).
% 12.35/8.41 tff(7207,plain,
% 12.35/8.41 (v102(constB28)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7206, 7205, 7195])).
% 12.35/8.41 tff(7208,plain,
% 12.35/8.41 (v1(constB28) <=> v1(constB28)),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7209,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28')).
% 12.35/8.41 tff(7210,plain,
% 12.35/8.41 (v1(constB28)),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7209, 7208])).
% 12.35/8.41 tff(7211,plain,
% 12.35/8.41 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v1(constB28)) | (~v102(constB28))),
% 12.35/8.41 inference(tautology,[status(thm)],[])).
% 12.35/8.41 tff(7212,plain,
% 12.35/8.41 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v102(constB28))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7211, 7210])).
% 12.35/8.41 tff(7213,plain,
% 12.35/8.41 (~((~v1(constB28)) | (~v102(constB28)))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7212, 7207])).
% 12.35/8.41 tff(7214,plain,
% 12.35/8.41 ((~(v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))) | v101(constB28) | ((~v1(constB28)) | (~v102(constB28)))),
% 12.35/8.41 inference(tautology,[status(thm)],[])).
% 12.35/8.41 tff(7215,plain,
% 12.35/8.41 (v101(constB28)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7214, 7213, 7191])).
% 12.35/8.41 tff(7216,plain,
% 12.35/8.41 (((~![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)))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7217,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7218,plain,
% 12.35/8.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27))),
% 12.35/8.41 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 12.35/8.41 tff(7219,plain,
% 12.35/8.41 (v110(constB28) <=> v108(constB27)),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7218, 7180, 722])).
% 12.35/8.41 tff(7220,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB27) <=> (v111(constB27) | v112(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7221,plain,
% 12.35/8.41 (v108(constB27) <=> (v111(constB27) | v112(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7220, 733])).
% 12.35/8.41 tff(7222,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7223,plain,
% 12.35/8.41 (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27))))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7222, 745])).
% 12.35/8.41 tff(7224,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB27) <=> (v114(constB27) | v125(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7225,plain,
% 12.35/8.41 (v113(constB27) <=> (v114(constB27) | v125(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7224, 754])).
% 12.35/8.41 tff(7226,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB27) <=> (v115(constB27) | v124(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7227,plain,
% 12.35/8.41 (v114(constB27) <=> (v115(constB27) | v124(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7226, 763])).
% 12.35/8.41 tff(7228,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB27) <=> (v116(constB27) | v123(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7229,plain,
% 12.35/8.41 (v115(constB27) <=> (v116(constB27) | v123(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7228, 772])).
% 12.35/8.41 tff(7230,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB27) <=> (v117(constB27) | v122(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7231,plain,
% 12.35/8.41 (v116(constB27) <=> (v117(constB27) | v122(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7230, 885])).
% 12.35/8.41 tff(7232,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB27) <=> (v118(constB27) | v121(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7233,plain,
% 12.35/8.41 (v117(constB27) <=> (v118(constB27) | v121(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7232, 1000])).
% 12.35/8.41 tff(7234,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB27) <=> (v119(constB27) | v120(constB27)))),
% 12.35/8.41 inference(quant_inst,[status(thm)],[])).
% 12.35/8.41 tff(7235,plain,
% 12.35/8.41 (v118(constB27) <=> (v119(constB27) | v120(constB27))),
% 12.35/8.41 inference(unit_resolution,[status(thm)],[7234, 1117])).
% 12.35/8.41 tff(7236,plain,
% 12.35/8.41 (((~![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))))))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7237,plain,
% 12.35/8.41 ((v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))))) <=> (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))),
% 12.35/8.41 inference(rewrite,[status(thm)],[])).
% 12.35/8.41 tff(7238,plain,
% 12.35/8.41 (((~![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))))))),
% 12.35/8.41 inference(monotonicity,[status(thm)],[7237])).
% 12.35/8.41 tff(7239,plain,
% 12.35/8.41 (((~![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))))))),
% 12.35/8.41 inference(transitivity,[status(thm)],[7238, 7236])).
% 12.35/8.41 tff(7240,plain,
% 12.35/8.41 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7241,plain,
% 12.41/8.42 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7240, 7239])).
% 12.41/8.42 tff(7242,plain,
% 12.41/8.42 (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7241, 1132])).
% 12.41/8.42 tff(7243,plain,
% 12.41/8.42 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7244,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26')).
% 12.41/8.42 tff(7245,plain,
% 12.41/8.42 (nextState(constB26, constB27)),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 12.41/8.42 tff(7246,plain,
% 12.41/8.42 (((~![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))))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7247,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7248,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 12.41/8.42 tff(7249,plain,
% 12.41/8.42 (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7248, 7245, 596])).
% 12.41/8.42 tff(7250,plain,
% 12.41/8.42 (((~![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))))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7251,plain,
% 12.41/8.42 (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7252,plain,
% 12.41/8.42 (((~![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)))))))),
% 12.41/8.42 inference(monotonicity,[status(thm)],[7251])).
% 12.41/8.42 tff(7253,plain,
% 12.41/8.42 (((~![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))))))),
% 12.41/8.42 inference(transitivity,[status(thm)],[7252, 7250])).
% 12.41/8.42 tff(7254,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7255,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 12.41/8.42 tff(7256,plain,
% 12.41/8.42 (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7255, 7245, 616])).
% 12.41/8.42 tff(7257,plain,
% 12.41/8.42 (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 12.41/8.42 inference(tautology,[status(thm)],[])).
% 12.41/8.42 tff(7258,plain,
% 12.41/8.42 ((~v1(constB27)) | (~v102(constB27))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7257, 7202])).
% 12.41/8.42 tff(7259,plain,
% 12.41/8.42 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 12.41/8.42 inference(tautology,[status(thm)],[])).
% 12.41/8.42 tff(7260,plain,
% 12.41/8.42 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7259, 7258])).
% 12.41/8.42 tff(7261,plain,
% 12.41/8.42 (~v101(constB27)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7260, 7256])).
% 12.41/8.42 tff(7262,plain,
% 12.41/8.42 (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 12.41/8.42 inference(tautology,[status(thm)],[])).
% 12.41/8.42 tff(7263,plain,
% 12.41/8.42 ((~v101(constB27)) | (~v110(constB27))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7262, 7261])).
% 12.41/8.42 tff(7264,plain,
% 12.41/8.42 ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 12.41/8.42 inference(tautology,[status(thm)],[])).
% 12.41/8.42 tff(7265,plain,
% 12.41/8.42 (~v100(constB27)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7264, 7263, 7249])).
% 12.41/8.42 tff(7266,plain,
% 12.41/8.42 (((~![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))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7267,plain,
% 12.41/8.42 ((~![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))))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7268,plain,
% 12.41/8.42 ((~![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)))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7267, 7266])).
% 12.41/8.42 tff(7269,plain,
% 12.41/8.42 (v100(constB27) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7268, 7245, 645])).
% 12.41/8.42 tff(7270,plain,
% 12.41/8.42 (![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7269, 7265])).
% 12.41/8.42 tff(7271,plain,
% 12.41/8.42 (((~![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)))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7272,plain,
% 12.41/8.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7273,plain,
% 12.41/8.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7272, 7271])).
% 12.41/8.42 tff(7274,plain,
% 12.41/8.42 (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7273, 579, 7270])).
% 12.41/8.42 tff(7275,plain,
% 12.41/8.42 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7276,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25')).
% 12.41/8.42 tff(7277,plain,
% 12.41/8.42 (nextState(constB25, constB26)),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 12.41/8.42 tff(7278,plain,
% 12.41/8.42 (((~![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))))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7279,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7280,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7279, 7278])).
% 12.41/8.42 tff(7281,plain,
% 12.41/8.42 (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7280, 7277, 596])).
% 12.41/8.42 tff(7282,plain,
% 12.41/8.42 (((~![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))))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7283,plain,
% 12.41/8.42 (((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7284,plain,
% 12.41/8.42 (((~![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)))))))),
% 12.41/8.42 inference(monotonicity,[status(thm)],[7283])).
% 12.41/8.42 tff(7285,plain,
% 12.41/8.42 (((~![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))))))),
% 12.41/8.42 inference(transitivity,[status(thm)],[7284, 7282])).
% 12.41/8.42 tff(7286,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7287,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 12.41/8.42 tff(7288,plain,
% 12.41/8.42 (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7287, 7277, 616])).
% 12.41/8.42 tff(7289,plain,
% 12.41/8.42 (((~![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)))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7290,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7291,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 12.41/8.42 tff(7292,plain,
% 12.41/8.42 ((~v102(constB26)) <=> v104(constB26)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7291, 7277, 678])).
% 12.41/8.42 tff(7293,plain,
% 12.41/8.42 (((~![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)))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7294,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 12.41/8.42 inference(quant_inst,[status(thm)],[])).
% 12.41/8.42 tff(7295,plain,
% 12.41/8.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25))),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 12.41/8.42 tff(7296,plain,
% 12.41/8.42 (v104(constB26) <=> v1(constB25)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7295, 7277, 692])).
% 12.41/8.42 tff(7297,plain,
% 12.41/8.42 ((~v1(constB25)) <=> (~v1(constB25))),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7298,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25')).
% 12.41/8.42 tff(7299,plain,
% 12.41/8.42 (~v1(constB25)),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 12.41/8.42 tff(7300,plain,
% 12.41/8.42 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26)) | v1(constB25)),
% 12.41/8.42 inference(tautology,[status(thm)],[])).
% 12.41/8.42 tff(7301,plain,
% 12.41/8.42 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26))),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7300, 7299])).
% 12.41/8.42 tff(7302,plain,
% 12.41/8.42 (~v104(constB26)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7301, 7296])).
% 12.41/8.42 tff(7303,plain,
% 12.41/8.42 ((~((~v102(constB26)) <=> v104(constB26))) | v102(constB26) | v104(constB26)),
% 12.41/8.42 inference(tautology,[status(thm)],[])).
% 12.41/8.42 tff(7304,plain,
% 12.41/8.42 (v102(constB26)),
% 12.41/8.42 inference(unit_resolution,[status(thm)],[7303, 7302, 7292])).
% 12.41/8.42 tff(7305,plain,
% 12.41/8.42 (v1(constB26) <=> v1(constB26)),
% 12.41/8.42 inference(rewrite,[status(thm)],[])).
% 12.41/8.42 tff(7306,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26')).
% 12.41/8.42 tff(7307,plain,
% 12.41/8.42 (v1(constB26)),
% 12.41/8.42 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 12.41/8.42 tff(7308,plain,
% 12.41/8.42 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v1(constB26)) | (~v102(constB26))),
% 12.41/8.43 inference(tautology,[status(thm)],[])).
% 12.41/8.43 tff(7309,plain,
% 12.41/8.43 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v102(constB26))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7308, 7307])).
% 12.41/8.43 tff(7310,plain,
% 12.41/8.43 (~((~v1(constB26)) | (~v102(constB26)))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7309, 7304])).
% 12.41/8.43 tff(7311,plain,
% 12.41/8.43 ((~(v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))) | v101(constB26) | ((~v1(constB26)) | (~v102(constB26)))),
% 12.41/8.43 inference(tautology,[status(thm)],[])).
% 12.41/8.43 tff(7312,plain,
% 12.41/8.43 (v101(constB26)),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7311, 7310, 7288])).
% 12.41/8.43 tff(7313,plain,
% 12.41/8.43 (((~![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)))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7314,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7315,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 12.41/8.43 tff(7316,plain,
% 12.41/8.43 (v110(constB26) <=> v108(constB25)),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7315, 7277, 722])).
% 12.41/8.43 tff(7317,plain,
% 12.41/8.43 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB25) <=> (v111(constB25) | v112(constB25)))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7318,plain,
% 12.41/8.43 (v108(constB25) <=> (v111(constB25) | v112(constB25))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7317, 733])).
% 12.41/8.43 tff(7319,plain,
% 12.41/8.43 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7320,plain,
% 12.41/8.43 (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25))))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7319, 745])).
% 12.41/8.43 tff(7321,plain,
% 12.41/8.43 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB25) <=> (v114(constB25) | v125(constB25)))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7322,plain,
% 12.41/8.43 (v113(constB25) <=> (v114(constB25) | v125(constB25))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7321, 754])).
% 12.41/8.43 tff(7323,plain,
% 12.41/8.43 (((~![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)))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7324,plain,
% 12.41/8.43 ((v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))))) <=> (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7325,plain,
% 12.41/8.43 (((~![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)))))),
% 12.41/8.43 inference(monotonicity,[status(thm)],[7324])).
% 12.41/8.43 tff(7326,plain,
% 12.41/8.43 (((~![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)))))),
% 12.41/8.43 inference(transitivity,[status(thm)],[7325, 7323])).
% 12.41/8.43 tff(7327,plain,
% 12.41/8.43 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7328,plain,
% 12.41/8.43 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7327, 7326])).
% 12.41/8.43 tff(7329,plain,
% 12.41/8.43 (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7328, 3458])).
% 12.41/8.43 tff(7330,plain,
% 12.41/8.43 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7331,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24')).
% 12.41/8.43 tff(7332,plain,
% 12.41/8.43 (nextState(constB24, constB25)),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7331, 7330])).
% 12.41/8.43 tff(7333,plain,
% 12.41/8.43 (((~![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))))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7334,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7335,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7334, 7333])).
% 12.41/8.43 tff(7336,plain,
% 12.41/8.43 (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7335, 7332, 596])).
% 12.41/8.43 tff(7337,plain,
% 12.41/8.43 (((~![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))))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7338,plain,
% 12.41/8.43 (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7339,plain,
% 12.41/8.43 (((~![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)))))))),
% 12.41/8.43 inference(monotonicity,[status(thm)],[7338])).
% 12.41/8.43 tff(7340,plain,
% 12.41/8.43 (((~![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))))))),
% 12.41/8.43 inference(transitivity,[status(thm)],[7339, 7337])).
% 12.41/8.43 tff(7341,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7342,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 12.41/8.43 tff(7343,plain,
% 12.41/8.43 (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7342, 7332, 616])).
% 12.41/8.43 tff(7344,plain,
% 12.41/8.43 (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 12.41/8.43 inference(tautology,[status(thm)],[])).
% 12.41/8.43 tff(7345,plain,
% 12.41/8.43 ((~v1(constB25)) | (~v102(constB25))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7344, 7299])).
% 12.41/8.43 tff(7346,plain,
% 12.41/8.43 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 12.41/8.43 inference(tautology,[status(thm)],[])).
% 12.41/8.43 tff(7347,plain,
% 12.41/8.43 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7346, 7345])).
% 12.41/8.43 tff(7348,plain,
% 12.41/8.43 (~v101(constB25)),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7347, 7343])).
% 12.41/8.43 tff(7349,plain,
% 12.41/8.43 (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 12.41/8.43 inference(tautology,[status(thm)],[])).
% 12.41/8.43 tff(7350,plain,
% 12.41/8.43 ((~v101(constB25)) | (~v110(constB25))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7349, 7348])).
% 12.41/8.43 tff(7351,plain,
% 12.41/8.43 ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 12.41/8.43 inference(tautology,[status(thm)],[])).
% 12.41/8.43 tff(7352,plain,
% 12.41/8.43 (~v100(constB25)),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7351, 7350, 7336])).
% 12.41/8.43 tff(7353,plain,
% 12.41/8.43 (((~![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))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7354,plain,
% 12.41/8.43 ((~![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))))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7355,plain,
% 12.41/8.43 ((~![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)))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7354, 7353])).
% 12.41/8.43 tff(7356,plain,
% 12.41/8.43 (v100(constB25) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7355, 7332, 645])).
% 12.41/8.43 tff(7357,plain,
% 12.41/8.43 (![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7356, 7352])).
% 12.41/8.43 tff(7358,plain,
% 12.41/8.43 (((~![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)))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7359,plain,
% 12.41/8.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7360,plain,
% 12.41/8.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 12.41/8.43 tff(7361,plain,
% 12.41/8.43 (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7360, 579, 7357])).
% 12.41/8.43 tff(7362,plain,
% 12.41/8.43 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7363,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23')).
% 12.41/8.43 tff(7364,plain,
% 12.41/8.43 (nextState(constB23, constB24)),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 12.41/8.43 tff(7365,plain,
% 12.41/8.43 (((~![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))))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7366,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 12.41/8.43 inference(quant_inst,[status(thm)],[])).
% 12.41/8.43 tff(7367,plain,
% 12.41/8.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))),
% 12.41/8.43 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 12.41/8.43 tff(7368,plain,
% 12.41/8.43 (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))),
% 12.41/8.43 inference(unit_resolution,[status(thm)],[7367, 7364, 596])).
% 12.41/8.43 tff(7369,plain,
% 12.41/8.43 (((~![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))))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7370,plain,
% 12.41/8.43 (((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 12.41/8.43 inference(rewrite,[status(thm)],[])).
% 12.41/8.43 tff(7371,plain,
% 12.41/8.43 (((~![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)))))))),
% 12.41/8.44 inference(monotonicity,[status(thm)],[7370])).
% 12.41/8.44 tff(7372,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(transitivity,[status(thm)],[7371, 7369])).
% 12.41/8.44 tff(7373,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7374,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 12.41/8.44 tff(7375,plain,
% 12.41/8.44 (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7374, 7364, 616])).
% 12.41/8.44 tff(7376,plain,
% 12.41/8.44 (((~![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)))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7377,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7378,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 12.41/8.44 tff(7379,plain,
% 12.41/8.44 ((~v102(constB24)) <=> v104(constB24)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7378, 7364, 678])).
% 12.41/8.44 tff(7380,plain,
% 12.41/8.44 (((~![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)))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7381,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7382,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 12.41/8.44 tff(7383,plain,
% 12.41/8.44 (v104(constB24) <=> v1(constB23)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7382, 7364, 692])).
% 12.41/8.44 tff(7384,plain,
% 12.41/8.44 ((~v1(constB23)) <=> (~v1(constB23))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7385,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23')).
% 12.41/8.44 tff(7386,plain,
% 12.41/8.44 (~v1(constB23)),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 12.41/8.44 tff(7387,plain,
% 12.41/8.44 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24)) | v1(constB23)),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7388,plain,
% 12.41/8.44 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7387, 7386])).
% 12.41/8.44 tff(7389,plain,
% 12.41/8.44 (~v104(constB24)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7388, 7383])).
% 12.41/8.44 tff(7390,plain,
% 12.41/8.44 ((~((~v102(constB24)) <=> v104(constB24))) | v102(constB24) | v104(constB24)),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7391,plain,
% 12.41/8.44 (v102(constB24)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7390, 7389, 7379])).
% 12.41/8.44 tff(7392,plain,
% 12.41/8.44 (v1(constB24) <=> v1(constB24)),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7393,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24')).
% 12.41/8.44 tff(7394,plain,
% 12.41/8.44 (v1(constB24)),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7393, 7392])).
% 12.41/8.44 tff(7395,plain,
% 12.41/8.44 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v1(constB24)) | (~v102(constB24))),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7396,plain,
% 12.41/8.44 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v102(constB24))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7395, 7394])).
% 12.41/8.44 tff(7397,plain,
% 12.41/8.44 (~((~v1(constB24)) | (~v102(constB24)))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7396, 7391])).
% 12.41/8.44 tff(7398,plain,
% 12.41/8.44 ((~(v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))) | v101(constB24) | ((~v1(constB24)) | (~v102(constB24)))),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7399,plain,
% 12.41/8.44 (v101(constB24)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7398, 7397, 7375])).
% 12.41/8.44 tff(7400,plain,
% 12.41/8.44 (((~![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)))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7401,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7402,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 12.41/8.44 tff(7403,plain,
% 12.41/8.44 (v110(constB24) <=> v108(constB23)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7402, 7364, 722])).
% 12.41/8.44 tff(7404,plain,
% 12.41/8.44 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB23) <=> (v111(constB23) | v112(constB23)))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7405,plain,
% 12.41/8.44 (v108(constB23) <=> (v111(constB23) | v112(constB23))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7404, 733])).
% 12.41/8.44 tff(7406,plain,
% 12.41/8.44 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7407,plain,
% 12.41/8.44 (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23))))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7406, 745])).
% 12.41/8.44 tff(7408,plain,
% 12.41/8.44 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB23) <=> (v114(constB23) | v125(constB23)))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7409,plain,
% 12.41/8.44 (v113(constB23) <=> (v114(constB23) | v125(constB23))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7408, 754])).
% 12.41/8.44 tff(7410,plain,
% 12.41/8.44 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB23) <=> (v115(constB23) | v124(constB23)))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7411,plain,
% 12.41/8.44 (v114(constB23) <=> (v115(constB23) | v124(constB23))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7410, 763])).
% 12.41/8.44 tff(7412,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7413,plain,
% 12.41/8.44 ((v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2))))) <=> (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7414,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(monotonicity,[status(thm)],[7413])).
% 12.41/8.44 tff(7415,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(transitivity,[status(thm)],[7414, 7412])).
% 12.41/8.44 tff(7416,plain,
% 12.41/8.44 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7417,plain,
% 12.41/8.44 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7416, 7415])).
% 12.41/8.44 tff(7418,plain,
% 12.41/8.44 (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7417, 2651])).
% 12.41/8.44 tff(7419,plain,
% 12.41/8.44 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7420,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22')).
% 12.41/8.44 tff(7421,plain,
% 12.41/8.44 (nextState(constB22, constB23)),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7420, 7419])).
% 12.41/8.44 tff(7422,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7423,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7424,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7423, 7422])).
% 12.41/8.44 tff(7425,plain,
% 12.41/8.44 (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7424, 7421, 596])).
% 12.41/8.44 tff(7426,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7427,plain,
% 12.41/8.44 (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 12.41/8.44 inference(rewrite,[status(thm)],[])).
% 12.41/8.44 tff(7428,plain,
% 12.41/8.44 (((~![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)))))))),
% 12.41/8.44 inference(monotonicity,[status(thm)],[7427])).
% 12.41/8.44 tff(7429,plain,
% 12.41/8.44 (((~![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))))))),
% 12.41/8.44 inference(transitivity,[status(thm)],[7428, 7426])).
% 12.41/8.44 tff(7430,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 12.41/8.44 inference(quant_inst,[status(thm)],[])).
% 12.41/8.44 tff(7431,plain,
% 12.41/8.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 12.41/8.44 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 12.41/8.44 tff(7432,plain,
% 12.41/8.44 (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7431, 7421, 616])).
% 12.41/8.44 tff(7433,plain,
% 12.41/8.44 (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7434,plain,
% 12.41/8.44 ((~v1(constB23)) | (~v102(constB23))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7433, 7386])).
% 12.41/8.44 tff(7435,plain,
% 12.41/8.44 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7436,plain,
% 12.41/8.44 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7435, 7434])).
% 12.41/8.44 tff(7437,plain,
% 12.41/8.44 (~v101(constB23)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7436, 7432])).
% 12.41/8.44 tff(7438,plain,
% 12.41/8.44 (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7439,plain,
% 12.41/8.44 ((~v101(constB23)) | (~v110(constB23))),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7438, 7437])).
% 12.41/8.44 tff(7440,plain,
% 12.41/8.44 ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 12.41/8.44 inference(tautology,[status(thm)],[])).
% 12.41/8.44 tff(7441,plain,
% 12.41/8.44 (~v100(constB23)),
% 12.41/8.44 inference(unit_resolution,[status(thm)],[7440, 7439, 7425])).
% 12.41/8.44 tff(7442,plain,
% 12.41/8.44 (((~![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))))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7443,plain,
% 12.41/8.45 ((~![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))))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7444,plain,
% 12.41/8.45 ((~![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)))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 12.41/8.45 tff(7445,plain,
% 12.41/8.45 (v100(constB23) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7444, 7421, 645])).
% 12.41/8.45 tff(7446,plain,
% 12.41/8.45 (![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7445, 7441])).
% 12.41/8.45 tff(7447,plain,
% 12.41/8.45 (((~![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)))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7448,plain,
% 12.41/8.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7449,plain,
% 12.41/8.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 12.41/8.45 tff(7450,plain,
% 12.41/8.45 (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7449, 579, 7446])).
% 12.41/8.45 tff(7451,plain,
% 12.41/8.45 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7452,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21')).
% 12.41/8.45 tff(7453,plain,
% 12.41/8.45 (nextState(constB21, constB22)),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 12.41/8.45 tff(7454,plain,
% 12.41/8.45 (((~![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))))))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7455,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7456,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7455, 7454])).
% 12.41/8.45 tff(7457,plain,
% 12.41/8.45 (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7456, 7453, 596])).
% 12.41/8.45 tff(7458,plain,
% 12.41/8.45 (((~![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))))))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7459,plain,
% 12.41/8.45 (((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7460,plain,
% 12.41/8.45 (((~![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)))))))),
% 12.41/8.45 inference(monotonicity,[status(thm)],[7459])).
% 12.41/8.45 tff(7461,plain,
% 12.41/8.45 (((~![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))))))),
% 12.41/8.45 inference(transitivity,[status(thm)],[7460, 7458])).
% 12.41/8.45 tff(7462,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7463,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 12.41/8.45 tff(7464,plain,
% 12.41/8.45 (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7463, 7453, 616])).
% 12.41/8.45 tff(7465,plain,
% 12.41/8.45 (((~![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)))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7466,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7467,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 12.41/8.45 tff(7468,plain,
% 12.41/8.45 ((~v102(constB22)) <=> v104(constB22)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7467, 7453, 678])).
% 12.41/8.45 tff(7469,plain,
% 12.41/8.45 (((~![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)))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7470,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7471,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 12.41/8.45 tff(7472,plain,
% 12.41/8.45 (v104(constB22) <=> v1(constB21)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7471, 7453, 692])).
% 12.41/8.45 tff(7473,plain,
% 12.41/8.45 ((~v1(constB21)) <=> (~v1(constB21))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7474,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21')).
% 12.41/8.45 tff(7475,plain,
% 12.41/8.45 (~v1(constB21)),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 12.41/8.45 tff(7476,plain,
% 12.41/8.45 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22)) | v1(constB21)),
% 12.41/8.45 inference(tautology,[status(thm)],[])).
% 12.41/8.45 tff(7477,plain,
% 12.41/8.45 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7476, 7475])).
% 12.41/8.45 tff(7478,plain,
% 12.41/8.45 (~v104(constB22)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7477, 7472])).
% 12.41/8.45 tff(7479,plain,
% 12.41/8.45 ((~((~v102(constB22)) <=> v104(constB22))) | v102(constB22) | v104(constB22)),
% 12.41/8.45 inference(tautology,[status(thm)],[])).
% 12.41/8.45 tff(7480,plain,
% 12.41/8.45 (v102(constB22)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7479, 7478, 7468])).
% 12.41/8.45 tff(7481,plain,
% 12.41/8.45 (v1(constB22) <=> v1(constB22)),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7482,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22')).
% 12.41/8.45 tff(7483,plain,
% 12.41/8.45 (v1(constB22)),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 12.41/8.45 tff(7484,plain,
% 12.41/8.45 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v1(constB22)) | (~v102(constB22))),
% 12.41/8.45 inference(tautology,[status(thm)],[])).
% 12.41/8.45 tff(7485,plain,
% 12.41/8.45 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v102(constB22))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7484, 7483])).
% 12.41/8.45 tff(7486,plain,
% 12.41/8.45 (~((~v1(constB22)) | (~v102(constB22)))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7485, 7480])).
% 12.41/8.45 tff(7487,plain,
% 12.41/8.45 ((~(v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))) | v101(constB22) | ((~v1(constB22)) | (~v102(constB22)))),
% 12.41/8.45 inference(tautology,[status(thm)],[])).
% 12.41/8.45 tff(7488,plain,
% 12.41/8.45 (v101(constB22)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7487, 7486, 7464])).
% 12.41/8.45 tff(7489,plain,
% 12.41/8.45 (((~![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)))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7490,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7491,plain,
% 12.41/8.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7490, 7489])).
% 12.41/8.45 tff(7492,plain,
% 12.41/8.45 (v110(constB22) <=> v108(constB21)),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7491, 7453, 722])).
% 12.41/8.45 tff(7493,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB21) <=> (v111(constB21) | v112(constB21)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7494,plain,
% 12.41/8.45 (v108(constB21) <=> (v111(constB21) | v112(constB21))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7493, 733])).
% 12.41/8.45 tff(7495,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7496,plain,
% 12.41/8.45 (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21))))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7495, 745])).
% 12.41/8.45 tff(7497,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB21) <=> (v114(constB21) | v125(constB21)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7498,plain,
% 12.41/8.45 (v113(constB21) <=> (v114(constB21) | v125(constB21))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7497, 754])).
% 12.41/8.45 tff(7499,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB21) <=> (v115(constB21) | v124(constB21)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7500,plain,
% 12.41/8.45 (v114(constB21) <=> (v115(constB21) | v124(constB21))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7499, 763])).
% 12.41/8.45 tff(7501,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB21) <=> (v116(constB21) | v123(constB21)))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7502,plain,
% 12.41/8.45 (v115(constB21) <=> (v116(constB21) | v123(constB21))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7501, 772])).
% 12.41/8.45 tff(7503,plain,
% 12.41/8.45 (((~![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)))))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7504,plain,
% 12.41/8.45 ((v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2))))) <=> (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))),
% 12.41/8.45 inference(rewrite,[status(thm)],[])).
% 12.41/8.45 tff(7505,plain,
% 12.41/8.45 (((~![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)))))),
% 12.41/8.45 inference(monotonicity,[status(thm)],[7504])).
% 12.41/8.45 tff(7506,plain,
% 12.41/8.45 (((~![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)))))),
% 12.41/8.45 inference(transitivity,[status(thm)],[7505, 7503])).
% 12.41/8.45 tff(7507,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))),
% 12.41/8.45 inference(quant_inst,[status(thm)],[])).
% 12.41/8.45 tff(7508,plain,
% 12.41/8.45 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))),
% 12.41/8.45 inference(modus_ponens,[status(thm)],[7507, 7506])).
% 12.41/8.45 tff(7509,plain,
% 12.41/8.45 (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)))),
% 12.41/8.45 inference(unit_resolution,[status(thm)],[7508, 787])).
% 12.41/8.45 tff(7510,plain,
% 12.41/8.45 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 12.41/8.46 inference(rewrite,[status(thm)],[])).
% 12.41/8.46 tff(7511,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20')).
% 12.41/8.46 tff(7512,plain,
% 12.41/8.46 (nextState(constB20, constB21)),
% 12.41/8.46 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 12.41/8.46 tff(7513,plain,
% 12.41/8.46 (((~![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))))))),
% 12.41/8.46 inference(rewrite,[status(thm)],[])).
% 12.41/8.46 tff(7514,plain,
% 12.41/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 12.41/8.46 inference(quant_inst,[status(thm)],[])).
% 12.41/8.46 tff(7515,plain,
% 12.41/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 12.41/8.46 inference(modus_ponens,[status(thm)],[7514, 7513])).
% 12.41/8.46 tff(7516,plain,
% 12.41/8.46 (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 12.41/8.46 inference(unit_resolution,[status(thm)],[7515, 7512, 596])).
% 12.41/8.46 tff(7517,plain,
% 12.41/8.46 (((~![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))))))),
% 12.41/8.46 inference(rewrite,[status(thm)],[])).
% 12.41/8.46 tff(7518,plain,
% 12.41/8.46 (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 12.41/8.46 inference(rewrite,[status(thm)],[])).
% 12.41/8.46 tff(7519,plain,
% 12.41/8.46 (((~![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)))))))),
% 12.41/8.46 inference(monotonicity,[status(thm)],[7518])).
% 12.41/8.46 tff(7520,plain,
% 12.41/8.46 (((~![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))))))),
% 12.41/8.46 inference(transitivity,[status(thm)],[7519, 7517])).
% 12.41/8.46 tff(7521,plain,
% 12.41/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 12.41/8.46 inference(quant_inst,[status(thm)],[])).
% 12.41/8.46 tff(7522,plain,
% 12.41/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 12.41/8.46 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 12.45/8.46 tff(7523,plain,
% 12.45/8.46 (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7522, 7512, 616])).
% 12.45/8.46 tff(7524,plain,
% 12.45/8.46 (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7525,plain,
% 12.45/8.46 ((~v1(constB21)) | (~v102(constB21))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7524, 7475])).
% 12.45/8.46 tff(7526,plain,
% 12.45/8.46 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7527,plain,
% 12.45/8.46 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7526, 7525])).
% 12.45/8.46 tff(7528,plain,
% 12.45/8.46 (~v101(constB21)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7527, 7523])).
% 12.45/8.46 tff(7529,plain,
% 12.45/8.46 (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7530,plain,
% 12.45/8.46 ((~v101(constB21)) | (~v110(constB21))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7529, 7528])).
% 12.45/8.46 tff(7531,plain,
% 12.45/8.46 ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7532,plain,
% 12.45/8.46 (~v100(constB21)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7531, 7530, 7516])).
% 12.45/8.46 tff(7533,plain,
% 12.45/8.46 (((~![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))))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7534,plain,
% 12.45/8.46 ((~![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))))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7535,plain,
% 12.45/8.46 ((~![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)))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 12.45/8.46 tff(7536,plain,
% 12.45/8.46 (v100(constB21) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7535, 7512, 645])).
% 12.45/8.46 tff(7537,plain,
% 12.45/8.46 (![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7536, 7532])).
% 12.45/8.46 tff(7538,plain,
% 12.45/8.46 (((~![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)))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7539,plain,
% 12.45/8.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7540,plain,
% 12.45/8.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 12.45/8.46 tff(7541,plain,
% 12.45/8.46 (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7540, 579, 7537])).
% 12.45/8.46 tff(7542,plain,
% 12.45/8.46 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7543,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19')).
% 12.45/8.46 tff(7544,plain,
% 12.45/8.46 (nextState(constB19, constB20)),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 12.45/8.46 tff(7545,plain,
% 12.45/8.46 (((~![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))))))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7546,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7547,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 12.45/8.46 tff(7548,plain,
% 12.45/8.46 (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7547, 7544, 596])).
% 12.45/8.46 tff(7549,plain,
% 12.45/8.46 (((~![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))))))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7550,plain,
% 12.45/8.46 (((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7551,plain,
% 12.45/8.46 (((~![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)))))))),
% 12.45/8.46 inference(monotonicity,[status(thm)],[7550])).
% 12.45/8.46 tff(7552,plain,
% 12.45/8.46 (((~![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))))))),
% 12.45/8.46 inference(transitivity,[status(thm)],[7551, 7549])).
% 12.45/8.46 tff(7553,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7554,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 12.45/8.46 tff(7555,plain,
% 12.45/8.46 (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7554, 7544, 616])).
% 12.45/8.46 tff(7556,plain,
% 12.45/8.46 (((~![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)))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7557,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7558,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 12.45/8.46 tff(7559,plain,
% 12.45/8.46 ((~v102(constB20)) <=> v104(constB20)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7558, 7544, 678])).
% 12.45/8.46 tff(7560,plain,
% 12.45/8.46 (((~![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)))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7561,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7562,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 12.45/8.46 tff(7563,plain,
% 12.45/8.46 (v104(constB20) <=> v1(constB19)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7562, 7544, 692])).
% 12.45/8.46 tff(7564,plain,
% 12.45/8.46 ((~v1(constB19)) <=> (~v1(constB19))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7565,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19')).
% 12.45/8.46 tff(7566,plain,
% 12.45/8.46 (~v1(constB19)),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 12.45/8.46 tff(7567,plain,
% 12.45/8.46 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20)) | v1(constB19)),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7568,plain,
% 12.45/8.46 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7567, 7566])).
% 12.45/8.46 tff(7569,plain,
% 12.45/8.46 (~v104(constB20)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7568, 7563])).
% 12.45/8.46 tff(7570,plain,
% 12.45/8.46 ((~((~v102(constB20)) <=> v104(constB20))) | v102(constB20) | v104(constB20)),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7571,plain,
% 12.45/8.46 (v102(constB20)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7570, 7569, 7559])).
% 12.45/8.46 tff(7572,plain,
% 12.45/8.46 (v1(constB20) <=> v1(constB20)),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7573,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20')).
% 12.45/8.46 tff(7574,plain,
% 12.45/8.46 (v1(constB20)),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 12.45/8.46 tff(7575,plain,
% 12.45/8.46 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v1(constB20)) | (~v102(constB20))),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7576,plain,
% 12.45/8.46 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v102(constB20))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7575, 7574])).
% 12.45/8.46 tff(7577,plain,
% 12.45/8.46 (~((~v1(constB20)) | (~v102(constB20)))),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7576, 7571])).
% 12.45/8.46 tff(7578,plain,
% 12.45/8.46 ((~(v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))) | v101(constB20) | ((~v1(constB20)) | (~v102(constB20)))),
% 12.45/8.46 inference(tautology,[status(thm)],[])).
% 12.45/8.46 tff(7579,plain,
% 12.45/8.46 (v101(constB20)),
% 12.45/8.46 inference(unit_resolution,[status(thm)],[7578, 7577, 7555])).
% 12.45/8.46 tff(7580,plain,
% 12.45/8.46 (((~![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)))),
% 12.45/8.46 inference(rewrite,[status(thm)],[])).
% 12.45/8.46 tff(7581,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 12.45/8.46 inference(quant_inst,[status(thm)],[])).
% 12.45/8.46 tff(7582,plain,
% 12.45/8.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19))),
% 12.45/8.46 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 12.45/8.46 tff(7583,plain,
% 12.45/8.46 (v110(constB20) <=> v108(constB19)),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7582, 7544, 722])).
% 12.45/8.47 tff(7584,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB19) <=> (v111(constB19) | v112(constB19)))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7585,plain,
% 12.45/8.47 (v108(constB19) <=> (v111(constB19) | v112(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7584, 733])).
% 12.45/8.47 tff(7586,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7587,plain,
% 12.45/8.47 (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19))))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7586, 745])).
% 12.45/8.47 tff(7588,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB19) <=> (v114(constB19) | v125(constB19)))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7589,plain,
% 12.45/8.47 (v113(constB19) <=> (v114(constB19) | v125(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7588, 754])).
% 12.45/8.47 tff(7590,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB19) <=> (v115(constB19) | v124(constB19)))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7591,plain,
% 12.45/8.47 (v114(constB19) <=> (v115(constB19) | v124(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7590, 763])).
% 12.45/8.47 tff(7592,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB19) <=> (v116(constB19) | v123(constB19)))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7593,plain,
% 12.45/8.47 (v115(constB19) <=> (v116(constB19) | v123(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7592, 772])).
% 12.45/8.47 tff(7594,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB19) <=> (v117(constB19) | v122(constB19)))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7595,plain,
% 12.45/8.47 (v116(constB19) <=> (v117(constB19) | v122(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7594, 885])).
% 12.45/8.47 tff(7596,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7597,plain,
% 12.45/8.47 ((v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1))))) <=> (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7598,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(monotonicity,[status(thm)],[7597])).
% 12.45/8.47 tff(7599,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(transitivity,[status(thm)],[7598, 7596])).
% 12.45/8.47 tff(7600,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7601,plain,
% 12.45/8.47 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 12.45/8.47 tff(7602,plain,
% 12.45/8.47 (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7601, 900])).
% 12.45/8.47 tff(7603,plain,
% 12.45/8.47 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7604,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18')).
% 12.45/8.47 tff(7605,plain,
% 12.45/8.47 (nextState(constB18, constB19)),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 12.45/8.47 tff(7606,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7607,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7608,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 12.45/8.47 tff(7609,plain,
% 12.45/8.47 (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7608, 7605, 596])).
% 12.45/8.47 tff(7610,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7611,plain,
% 12.45/8.47 (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7612,plain,
% 12.45/8.47 (((~![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)))))))),
% 12.45/8.47 inference(monotonicity,[status(thm)],[7611])).
% 12.45/8.47 tff(7613,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(transitivity,[status(thm)],[7612, 7610])).
% 12.45/8.47 tff(7614,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7615,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7614, 7613])).
% 12.45/8.47 tff(7616,plain,
% 12.45/8.47 (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7615, 7605, 616])).
% 12.45/8.47 tff(7617,plain,
% 12.45/8.47 (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 12.45/8.47 inference(tautology,[status(thm)],[])).
% 12.45/8.47 tff(7618,plain,
% 12.45/8.47 ((~v1(constB19)) | (~v102(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7617, 7566])).
% 12.45/8.47 tff(7619,plain,
% 12.45/8.47 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 12.45/8.47 inference(tautology,[status(thm)],[])).
% 12.45/8.47 tff(7620,plain,
% 12.45/8.47 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7619, 7618])).
% 12.45/8.47 tff(7621,plain,
% 12.45/8.47 (~v101(constB19)),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7620, 7616])).
% 12.45/8.47 tff(7622,plain,
% 12.45/8.47 (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 12.45/8.47 inference(tautology,[status(thm)],[])).
% 12.45/8.47 tff(7623,plain,
% 12.45/8.47 ((~v101(constB19)) | (~v110(constB19))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7622, 7621])).
% 12.45/8.47 tff(7624,plain,
% 12.45/8.47 ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 12.45/8.47 inference(tautology,[status(thm)],[])).
% 12.45/8.47 tff(7625,plain,
% 12.45/8.47 (~v100(constB19)),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7624, 7623, 7609])).
% 12.45/8.47 tff(7626,plain,
% 12.45/8.47 (((~![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))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7627,plain,
% 12.45/8.47 ((~![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))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7628,plain,
% 12.45/8.47 ((~![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)))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 12.45/8.47 tff(7629,plain,
% 12.45/8.47 (v100(constB19) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7628, 7605, 645])).
% 12.45/8.47 tff(7630,plain,
% 12.45/8.47 (![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7629, 7625])).
% 12.45/8.47 tff(7631,plain,
% 12.45/8.47 (((~![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)))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7632,plain,
% 12.45/8.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7633,plain,
% 12.45/8.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 12.45/8.47 tff(7634,plain,
% 12.45/8.47 (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7633, 579, 7630])).
% 12.45/8.47 tff(7635,plain,
% 12.45/8.47 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7636,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17')).
% 12.45/8.47 tff(7637,plain,
% 12.45/8.47 (nextState(constB17, constB18)),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 12.45/8.47 tff(7638,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7639,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7640,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 12.45/8.47 tff(7641,plain,
% 12.45/8.47 (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7640, 7637, 596])).
% 12.45/8.47 tff(7642,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7643,plain,
% 12.45/8.47 (((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 12.45/8.47 inference(rewrite,[status(thm)],[])).
% 12.45/8.47 tff(7644,plain,
% 12.45/8.47 (((~![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)))))))),
% 12.45/8.47 inference(monotonicity,[status(thm)],[7643])).
% 12.45/8.47 tff(7645,plain,
% 12.45/8.47 (((~![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))))))),
% 12.45/8.47 inference(transitivity,[status(thm)],[7644, 7642])).
% 12.45/8.47 tff(7646,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))),
% 12.45/8.47 inference(quant_inst,[status(thm)],[])).
% 12.45/8.47 tff(7647,plain,
% 12.45/8.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))),
% 12.45/8.47 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 12.45/8.47 tff(7648,plain,
% 12.45/8.47 (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))),
% 12.45/8.47 inference(unit_resolution,[status(thm)],[7647, 7637, 616])).
% 12.45/8.47 tff(7649,plain,
% 12.45/8.47 (((~![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)))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7650,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7651,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 12.45/8.48 tff(7652,plain,
% 12.45/8.48 ((~v102(constB18)) <=> v104(constB18)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7651, 7637, 678])).
% 12.45/8.48 tff(7653,plain,
% 12.45/8.48 (((~![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)))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7654,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7655,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 12.45/8.48 tff(7656,plain,
% 12.45/8.48 (v104(constB18) <=> v1(constB17)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7655, 7637, 692])).
% 12.45/8.48 tff(7657,plain,
% 12.45/8.48 ((~v1(constB17)) <=> (~v1(constB17))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7658,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17')).
% 12.45/8.48 tff(7659,plain,
% 12.45/8.48 (~v1(constB17)),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 12.45/8.48 tff(7660,plain,
% 12.45/8.48 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18)) | v1(constB17)),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7661,plain,
% 12.45/8.48 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7660, 7659])).
% 12.45/8.48 tff(7662,plain,
% 12.45/8.48 (~v104(constB18)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7661, 7656])).
% 12.45/8.48 tff(7663,plain,
% 12.45/8.48 ((~((~v102(constB18)) <=> v104(constB18))) | v102(constB18) | v104(constB18)),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7664,plain,
% 12.45/8.48 (v102(constB18)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7663, 7662, 7652])).
% 12.45/8.48 tff(7665,plain,
% 12.45/8.48 (v1(constB18) <=> v1(constB18)),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7666,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18')).
% 12.45/8.48 tff(7667,plain,
% 12.45/8.48 (v1(constB18)),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 12.45/8.48 tff(7668,plain,
% 12.45/8.48 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v1(constB18)) | (~v102(constB18))),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7669,plain,
% 12.45/8.48 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v102(constB18))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7668, 7667])).
% 12.45/8.48 tff(7670,plain,
% 12.45/8.48 (~((~v1(constB18)) | (~v102(constB18)))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7669, 7664])).
% 12.45/8.48 tff(7671,plain,
% 12.45/8.48 ((~(v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))) | v101(constB18) | ((~v1(constB18)) | (~v102(constB18)))),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7672,plain,
% 12.45/8.48 (v101(constB18)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7671, 7670, 7648])).
% 12.45/8.48 tff(7673,plain,
% 12.45/8.48 (((~![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)))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7674,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7675,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 12.45/8.48 tff(7676,plain,
% 12.45/8.48 (v110(constB18) <=> v108(constB17)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7675, 7637, 722])).
% 12.45/8.48 tff(7677,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB17) <=> (v111(constB17) | v112(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7678,plain,
% 12.45/8.48 (v108(constB17) <=> (v111(constB17) | v112(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7677, 733])).
% 12.45/8.48 tff(7679,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7680,plain,
% 12.45/8.48 (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17))))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7679, 745])).
% 12.45/8.48 tff(7681,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB17) <=> (v114(constB17) | v125(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7682,plain,
% 12.45/8.48 (v113(constB17) <=> (v114(constB17) | v125(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7681, 754])).
% 12.45/8.48 tff(7683,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB17) <=> (v115(constB17) | v124(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7684,plain,
% 12.45/8.48 (v114(constB17) <=> (v115(constB17) | v124(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7683, 763])).
% 12.45/8.48 tff(7685,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB17) <=> (v116(constB17) | v123(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7686,plain,
% 12.45/8.48 (v115(constB17) <=> (v116(constB17) | v123(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7685, 772])).
% 12.45/8.48 tff(7687,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB17) <=> (v117(constB17) | v122(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7688,plain,
% 12.45/8.48 (v116(constB17) <=> (v117(constB17) | v122(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7687, 885])).
% 12.45/8.48 tff(7689,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB17) <=> (v118(constB17) | v121(constB17)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7690,plain,
% 12.45/8.48 (v117(constB17) <=> (v118(constB17) | v121(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7689, 1000])).
% 12.45/8.48 tff(7691,plain,
% 12.45/8.48 (((~![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)))))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7692,plain,
% 12.45/8.48 ((v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1))))) <=> (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7693,plain,
% 12.45/8.48 (((~![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)))))),
% 12.45/8.48 inference(monotonicity,[status(thm)],[7692])).
% 12.45/8.48 tff(7694,plain,
% 12.45/8.48 (((~![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)))))),
% 12.45/8.48 inference(transitivity,[status(thm)],[7693, 7691])).
% 12.45/8.48 tff(7695,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7696,plain,
% 12.45/8.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7695, 7694])).
% 12.45/8.48 tff(7697,plain,
% 12.45/8.48 (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7696, 1015])).
% 12.45/8.48 tff(7698,plain,
% 12.45/8.48 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7699,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16')).
% 12.45/8.48 tff(7700,plain,
% 12.45/8.48 (nextState(constB16, constB17)),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 12.45/8.48 tff(7701,plain,
% 12.45/8.48 (((~![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))))))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7702,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7703,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 12.45/8.48 tff(7704,plain,
% 12.45/8.48 (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7703, 7700, 596])).
% 12.45/8.48 tff(7705,plain,
% 12.45/8.48 (((~![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))))))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7706,plain,
% 12.45/8.48 (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7707,plain,
% 12.45/8.48 (((~![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)))))))),
% 12.45/8.48 inference(monotonicity,[status(thm)],[7706])).
% 12.45/8.48 tff(7708,plain,
% 12.45/8.48 (((~![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))))))),
% 12.45/8.48 inference(transitivity,[status(thm)],[7707, 7705])).
% 12.45/8.48 tff(7709,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7710,plain,
% 12.45/8.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 12.45/8.48 tff(7711,plain,
% 12.45/8.48 (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7710, 7700, 616])).
% 12.45/8.48 tff(7712,plain,
% 12.45/8.48 (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7713,plain,
% 12.45/8.48 ((~v1(constB17)) | (~v102(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7712, 7659])).
% 12.45/8.48 tff(7714,plain,
% 12.45/8.48 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7715,plain,
% 12.45/8.48 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7714, 7713])).
% 12.45/8.48 tff(7716,plain,
% 12.45/8.48 (~v101(constB17)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7715, 7711])).
% 12.45/8.48 tff(7717,plain,
% 12.45/8.48 (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7718,plain,
% 12.45/8.48 ((~v101(constB17)) | (~v110(constB17))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7717, 7716])).
% 12.45/8.48 tff(7719,plain,
% 12.45/8.48 ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 12.45/8.48 inference(tautology,[status(thm)],[])).
% 12.45/8.48 tff(7720,plain,
% 12.45/8.48 (~v100(constB17)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7719, 7718, 7704])).
% 12.45/8.48 tff(7721,plain,
% 12.45/8.48 (((~![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))))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7722,plain,
% 12.45/8.48 ((~![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))))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7723,plain,
% 12.45/8.48 ((~![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)))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 12.45/8.48 tff(7724,plain,
% 12.45/8.48 (v100(constB17) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7723, 7700, 645])).
% 12.45/8.48 tff(7725,plain,
% 12.45/8.48 (![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7724, 7720])).
% 12.45/8.48 tff(7726,plain,
% 12.45/8.48 (((~![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)))),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7727,plain,
% 12.45/8.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))),
% 12.45/8.48 inference(quant_inst,[status(thm)],[])).
% 12.45/8.48 tff(7728,plain,
% 12.45/8.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2))),
% 12.45/8.48 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 12.45/8.48 tff(7729,plain,
% 12.45/8.48 (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)),
% 12.45/8.48 inference(unit_resolution,[status(thm)],[7728, 579, 7725])).
% 12.45/8.48 tff(7730,plain,
% 12.45/8.48 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 12.45/8.48 inference(rewrite,[status(thm)],[])).
% 12.45/8.48 tff(7731,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15')).
% 12.45/8.49 tff(7732,plain,
% 12.45/8.49 (nextState(constB15, constB16)),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7731, 7730])).
% 12.45/8.49 tff(7733,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7734,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7735,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 12.45/8.49 tff(7736,plain,
% 12.45/8.49 (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7735, 7732, 596])).
% 12.45/8.49 tff(7737,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7738,plain,
% 12.45/8.49 (((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7739,plain,
% 12.45/8.49 (((~![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)))))))),
% 12.45/8.49 inference(monotonicity,[status(thm)],[7738])).
% 12.45/8.49 tff(7740,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(transitivity,[status(thm)],[7739, 7737])).
% 12.45/8.49 tff(7741,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7742,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 12.45/8.49 tff(7743,plain,
% 12.45/8.49 (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7742, 7732, 616])).
% 12.45/8.49 tff(7744,plain,
% 12.45/8.49 (((~![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)))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7745,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7746,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 12.45/8.49 tff(7747,plain,
% 12.45/8.49 ((~v102(constB16)) <=> v104(constB16)),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7746, 7732, 678])).
% 12.45/8.49 tff(7748,plain,
% 12.45/8.49 (((~![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)))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7749,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7750,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7749, 7748])).
% 12.45/8.49 tff(7751,plain,
% 12.45/8.49 (v104(constB16) <=> v1(constB15)),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7750, 7732, 692])).
% 12.45/8.49 tff(7752,plain,
% 12.45/8.49 ((~v1(constB15)) <=> (~v1(constB15))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7753,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15')).
% 12.45/8.49 tff(7754,plain,
% 12.45/8.49 (~v1(constB15)),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 12.45/8.49 tff(7755,plain,
% 12.45/8.49 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16)) | v1(constB15)),
% 12.45/8.49 inference(tautology,[status(thm)],[])).
% 12.45/8.49 tff(7756,plain,
% 12.45/8.49 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7755, 7754])).
% 12.45/8.49 tff(7757,plain,
% 12.45/8.49 (~v104(constB16)),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7756, 7751])).
% 12.45/8.49 tff(7758,plain,
% 12.45/8.49 ((~((~v102(constB16)) <=> v104(constB16))) | v102(constB16) | v104(constB16)),
% 12.45/8.49 inference(tautology,[status(thm)],[])).
% 12.45/8.49 tff(7759,plain,
% 12.45/8.49 (v102(constB16)),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7758, 7757, 7747])).
% 12.45/8.49 tff(7760,plain,
% 12.45/8.49 (v1(constB16) <=> v1(constB16)),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7761,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16')).
% 12.45/8.49 tff(7762,plain,
% 12.45/8.49 (v1(constB16)),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 12.45/8.49 tff(7763,plain,
% 12.45/8.49 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v1(constB16)) | (~v102(constB16))),
% 12.45/8.49 inference(tautology,[status(thm)],[])).
% 12.45/8.49 tff(7764,plain,
% 12.45/8.49 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v102(constB16))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7763, 7762])).
% 12.45/8.49 tff(7765,plain,
% 12.45/8.49 (~((~v1(constB16)) | (~v102(constB16)))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7764, 7759])).
% 12.45/8.49 tff(7766,plain,
% 12.45/8.49 ((~(v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))) | v101(constB16) | ((~v1(constB16)) | (~v102(constB16)))),
% 12.45/8.49 inference(tautology,[status(thm)],[])).
% 12.45/8.49 tff(7767,plain,
% 12.45/8.49 (v101(constB16)),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7766, 7765, 7743])).
% 12.45/8.49 tff(7768,plain,
% 12.45/8.49 (((~![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)))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7769,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7770,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 12.45/8.49 tff(7771,plain,
% 12.45/8.49 (v110(constB16) <=> v108(constB15)),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7770, 7732, 722])).
% 12.45/8.49 tff(7772,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB15) <=> (v111(constB15) | v112(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7773,plain,
% 12.45/8.49 (v108(constB15) <=> (v111(constB15) | v112(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7772, 733])).
% 12.45/8.49 tff(7774,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7775,plain,
% 12.45/8.49 (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15))))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7774, 745])).
% 12.45/8.49 tff(7776,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB15) <=> (v114(constB15) | v125(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7777,plain,
% 12.45/8.49 (v113(constB15) <=> (v114(constB15) | v125(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7776, 754])).
% 12.45/8.49 tff(7778,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB15) <=> (v115(constB15) | v124(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7779,plain,
% 12.45/8.49 (v114(constB15) <=> (v115(constB15) | v124(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7778, 763])).
% 12.45/8.49 tff(7780,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB15) <=> (v116(constB15) | v123(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7781,plain,
% 12.45/8.49 (v115(constB15) <=> (v116(constB15) | v123(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7780, 772])).
% 12.45/8.49 tff(7782,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB15) <=> (v117(constB15) | v122(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7783,plain,
% 12.45/8.49 (v116(constB15) <=> (v117(constB15) | v122(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7782, 885])).
% 12.45/8.49 tff(7784,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB15) <=> (v118(constB15) | v121(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7785,plain,
% 12.45/8.49 (v117(constB15) <=> (v118(constB15) | v121(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7784, 1000])).
% 12.45/8.49 tff(7786,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB15) <=> (v119(constB15) | v120(constB15)))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7787,plain,
% 12.45/8.49 (v118(constB15) <=> (v119(constB15) | v120(constB15))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7786, 1117])).
% 12.45/8.49 tff(7788,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7789,plain,
% 12.45/8.49 ((v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))))) <=> (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7790,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(monotonicity,[status(thm)],[7789])).
% 12.45/8.49 tff(7791,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(transitivity,[status(thm)],[7790, 7788])).
% 12.45/8.49 tff(7792,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7793,plain,
% 12.45/8.49 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 12.45/8.49 tff(7794,plain,
% 12.45/8.49 (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7793, 1132])).
% 12.45/8.49 tff(7795,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.49 tff(7796,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 12.45/8.49 inference(quant_inst,[status(thm)],[])).
% 12.45/8.49 tff(7797,plain,
% 12.45/8.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 12.45/8.49 inference(modus_ponens,[status(thm)],[7796, 7795])).
% 12.45/8.49 tff(7798,plain,
% 12.45/8.49 (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 12.45/8.49 inference(unit_resolution,[status(thm)],[7797, 79, 596])).
% 12.45/8.49 tff(7799,plain,
% 12.45/8.49 (((~![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))))))),
% 12.45/8.49 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7800,plain,
% 12.45/8.50 (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7801,plain,
% 12.45/8.50 (((~![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)))))))),
% 12.45/8.50 inference(monotonicity,[status(thm)],[7800])).
% 12.45/8.50 tff(7802,plain,
% 12.45/8.50 (((~![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))))))),
% 12.45/8.50 inference(transitivity,[status(thm)],[7801, 7799])).
% 12.45/8.50 tff(7803,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7804,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 12.45/8.50 tff(7805,plain,
% 12.45/8.50 (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7804, 79, 616])).
% 12.45/8.50 tff(7806,plain,
% 12.45/8.50 (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7807,plain,
% 12.45/8.50 ((~v1(constB15)) | (~v102(constB15))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7806, 7754])).
% 12.45/8.50 tff(7808,plain,
% 12.45/8.50 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7809,plain,
% 12.45/8.50 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7808, 7807])).
% 12.45/8.50 tff(7810,plain,
% 12.45/8.50 (~v101(constB15)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7809, 7805])).
% 12.45/8.50 tff(7811,plain,
% 12.45/8.50 (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7812,plain,
% 12.45/8.50 ((~v101(constB15)) | (~v110(constB15))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7811, 7810])).
% 12.45/8.50 tff(7813,plain,
% 12.45/8.50 ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7814,plain,
% 12.45/8.50 (~v100(constB15)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7813, 7812, 7798])).
% 12.45/8.50 tff(7815,plain,
% 12.45/8.50 (((~![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))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7816,plain,
% 12.45/8.50 ((~![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))))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7817,plain,
% 12.45/8.50 ((~![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)))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7816, 7815])).
% 12.45/8.50 tff(7818,plain,
% 12.45/8.50 (v100(constB15) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7817, 79, 645])).
% 12.45/8.50 tff(7819,plain,
% 12.45/8.50 (![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7818, 7814])).
% 12.45/8.50 tff(7820,plain,
% 12.45/8.50 (((~![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)))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7821,plain,
% 12.45/8.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7822,plain,
% 12.45/8.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 12.45/8.50 tff(7823,plain,
% 12.45/8.50 (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7822, 579, 7819])).
% 12.45/8.50 tff(7824,plain,
% 12.45/8.50 (((~![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))))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7825,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7826,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 12.45/8.50 tff(7827,plain,
% 12.45/8.50 (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7826, 190, 596])).
% 12.45/8.50 tff(7828,plain,
% 12.45/8.50 (((~![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))))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7829,plain,
% 12.45/8.50 (((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7830,plain,
% 12.45/8.50 (((~![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)))))))),
% 12.45/8.50 inference(monotonicity,[status(thm)],[7829])).
% 12.45/8.50 tff(7831,plain,
% 12.45/8.50 (((~![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))))))),
% 12.45/8.50 inference(transitivity,[status(thm)],[7830, 7828])).
% 12.45/8.50 tff(7832,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7833,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 12.45/8.50 tff(7834,plain,
% 12.45/8.50 (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7833, 190, 616])).
% 12.45/8.50 tff(7835,plain,
% 12.45/8.50 (((~![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)))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7836,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7837,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 12.45/8.50 tff(7838,plain,
% 12.45/8.50 ((~v102(constB14)) <=> v104(constB14)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7837, 190, 678])).
% 12.45/8.50 tff(7839,plain,
% 12.45/8.50 (((~![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)))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7840,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7841,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 12.45/8.50 tff(7842,plain,
% 12.45/8.50 (v104(constB14) <=> v1(constB13)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7841, 190, 692])).
% 12.45/8.50 tff(7843,plain,
% 12.45/8.50 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14)) | v1(constB13)),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7844,plain,
% 12.45/8.50 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7843, 328])).
% 12.45/8.50 tff(7845,plain,
% 12.45/8.50 (~v104(constB14)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7844, 7842])).
% 12.45/8.50 tff(7846,plain,
% 12.45/8.50 ((~((~v102(constB14)) <=> v104(constB14))) | v102(constB14) | v104(constB14)),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7847,plain,
% 12.45/8.50 (v102(constB14)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7846, 7845, 7838])).
% 12.45/8.50 tff(7848,plain,
% 12.45/8.50 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v1(constB14)) | (~v102(constB14))),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7849,plain,
% 12.45/8.50 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v102(constB14))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7848, 152])).
% 12.45/8.50 tff(7850,plain,
% 12.45/8.50 (~((~v1(constB14)) | (~v102(constB14)))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7849, 7847])).
% 12.45/8.50 tff(7851,plain,
% 12.45/8.50 ((~(v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))) | v101(constB14) | ((~v1(constB14)) | (~v102(constB14)))),
% 12.45/8.50 inference(tautology,[status(thm)],[])).
% 12.45/8.50 tff(7852,plain,
% 12.45/8.50 (v101(constB14)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7851, 7850, 7834])).
% 12.45/8.50 tff(7853,plain,
% 12.45/8.50 (((~![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)))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7854,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7855,plain,
% 12.45/8.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13))),
% 12.45/8.50 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 12.45/8.50 tff(7856,plain,
% 12.45/8.50 (v110(constB14) <=> v108(constB13)),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7855, 190, 722])).
% 12.45/8.50 tff(7857,plain,
% 12.45/8.50 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB13) <=> (v111(constB13) | v112(constB13)))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7858,plain,
% 12.45/8.50 (v108(constB13) <=> (v111(constB13) | v112(constB13))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7857, 733])).
% 12.45/8.50 tff(7859,plain,
% 12.45/8.50 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7860,plain,
% 12.45/8.50 (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13))))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7859, 745])).
% 12.45/8.50 tff(7861,plain,
% 12.45/8.50 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB13) <=> (v114(constB13) | v125(constB13)))),
% 12.45/8.50 inference(quant_inst,[status(thm)],[])).
% 12.45/8.50 tff(7862,plain,
% 12.45/8.50 (v113(constB13) <=> (v114(constB13) | v125(constB13))),
% 12.45/8.50 inference(unit_resolution,[status(thm)],[7861, 754])).
% 12.45/8.50 tff(7863,plain,
% 12.45/8.50 (((~![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)))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7864,plain,
% 12.45/8.50 ((v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2))))) <=> (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 12.45/8.50 inference(rewrite,[status(thm)],[])).
% 12.45/8.50 tff(7865,plain,
% 12.45/8.50 (((~![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)))))),
% 12.45/8.51 inference(monotonicity,[status(thm)],[7864])).
% 12.45/8.51 tff(7866,plain,
% 12.45/8.51 (((~![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)))))),
% 12.45/8.51 inference(transitivity,[status(thm)],[7865, 7863])).
% 12.45/8.51 tff(7867,plain,
% 12.45/8.51 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7868,plain,
% 12.45/8.51 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 12.45/8.51 tff(7869,plain,
% 12.45/8.51 (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7868, 3458])).
% 12.45/8.51 tff(7870,plain,
% 12.45/8.51 ((~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7871,plain,
% 12.45/8.51 (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7870, 2913, 2873, 2758])).
% 12.45/8.51 tff(7872,plain,
% 12.45/8.51 ((~(v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))) | v125(constB13) | ((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7873,plain,
% 12.45/8.51 (v125(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7872, 7871, 7869])).
% 12.45/8.51 tff(7874,plain,
% 12.45/8.51 ((v114(constB13) | v125(constB13)) | (~v125(constB13))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7875,plain,
% 12.45/8.51 (v114(constB13) | v125(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7874, 7873])).
% 12.45/8.51 tff(7876,plain,
% 12.45/8.51 ((~(v113(constB13) <=> (v114(constB13) | v125(constB13)))) | v113(constB13) | (~(v114(constB13) | v125(constB13)))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7877,plain,
% 12.45/8.51 (v113(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7876, 7875, 7862])).
% 12.45/8.51 tff(7878,plain,
% 12.45/8.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB13)) <=> v111(constB13))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7879,plain,
% 12.45/8.51 ((~v126(constB13)) <=> v111(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7878, 1345])).
% 12.45/8.51 tff(7880,plain,
% 12.45/8.51 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7881,plain,
% 12.45/8.51 (v111(constB13) <=> v26(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7880, 1357])).
% 12.45/8.51 tff(7882,plain,
% 12.45/8.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7883,plain,
% 12.45/8.51 (~v26(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7882, 1369])).
% 12.45/8.51 tff(7884,plain,
% 12.45/8.51 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7885,plain,
% 12.45/8.51 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7884, 7883])).
% 12.45/8.51 tff(7886,plain,
% 12.45/8.51 (~v111(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7885, 7881])).
% 12.45/8.51 tff(7887,plain,
% 12.45/8.51 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13) | v111(constB13)),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7888,plain,
% 12.45/8.51 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7887, 7886])).
% 12.45/8.51 tff(7889,plain,
% 12.45/8.51 (v126(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7888, 7879])).
% 12.45/8.51 tff(7890,plain,
% 12.45/8.51 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13)) | (~v126(constB13))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7891,plain,
% 12.45/8.51 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7890, 7889])).
% 12.45/8.51 tff(7892,plain,
% 12.45/8.51 (~((~v113(constB13)) | (~v126(constB13)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7891, 7877])).
% 12.45/8.51 tff(7893,plain,
% 12.45/8.51 ((~(v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))) | v112(constB13) | ((~v113(constB13)) | (~v126(constB13)))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7894,plain,
% 12.45/8.51 (v112(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7893, 7892, 7860])).
% 12.45/8.51 tff(7895,plain,
% 12.45/8.51 ((v111(constB13) | v112(constB13)) | (~v112(constB13))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7896,plain,
% 12.45/8.51 (v111(constB13) | v112(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7895, 7894])).
% 12.45/8.51 tff(7897,plain,
% 12.45/8.51 ((~(v108(constB13) <=> (v111(constB13) | v112(constB13)))) | v108(constB13) | (~(v111(constB13) | v112(constB13)))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7898,plain,
% 12.45/8.51 (v108(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7897, 7896, 7858])).
% 12.45/8.51 tff(7899,plain,
% 12.45/8.51 ((~(v110(constB14) <=> v108(constB13))) | v110(constB14) | (~v108(constB13))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7900,plain,
% 12.45/8.51 (v110(constB14)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7899, 7898, 7856])).
% 12.45/8.51 tff(7901,plain,
% 12.45/8.51 ((~((~v101(constB14)) | (~v110(constB14)))) | (~v101(constB14)) | (~v110(constB14))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7902,plain,
% 12.45/8.51 (~((~v101(constB14)) | (~v110(constB14)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7901, 7900, 7852])).
% 12.45/8.51 tff(7903,plain,
% 12.45/8.51 ((~(v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))) | v100(constB14) | ((~v101(constB14)) | (~v110(constB14)))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7904,plain,
% 12.45/8.51 (v100(constB14)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7903, 7902, 7827])).
% 12.45/8.51 tff(7905,plain,
% 12.45/8.51 (((~![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))))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7906,plain,
% 12.45/8.51 ((~![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))))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7907,plain,
% 12.45/8.51 ((~![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)))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7906, 7905])).
% 12.45/8.51 tff(7908,plain,
% 12.45/8.51 ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7907, 1405])).
% 12.45/8.51 tff(7909,plain,
% 12.45/8.51 (![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7908, 7904])).
% 12.45/8.51 tff(7910,plain,
% 12.45/8.51 (((~![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)))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7911,plain,
% 12.45/8.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7912,plain,
% 12.45/8.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 12.45/8.51 tff(7913,plain,
% 12.45/8.51 (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7912, 579, 7909])).
% 12.45/8.51 tff(7914,plain,
% 12.45/8.51 (((~![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))))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7915,plain,
% 12.45/8.51 ((~![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))))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7916,plain,
% 12.45/8.51 ((~![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)))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 12.45/8.51 tff(7917,plain,
% 12.45/8.51 (![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7916, 190, 1427])).
% 12.45/8.51 tff(7918,plain,
% 12.45/8.51 (((~![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)))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7919,plain,
% 12.45/8.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7920,plain,
% 12.45/8.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 12.45/8.51 tff(7921,plain,
% 12.45/8.51 (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7920, 579, 7917])).
% 12.45/8.51 tff(7922,plain,
% 12.45/8.51 (((~![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))))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7923,plain,
% 12.45/8.51 ((~![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))))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7924,plain,
% 12.45/8.51 ((~![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)))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7923, 7922])).
% 12.45/8.51 tff(7925,plain,
% 12.45/8.51 (![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7924, 1448, 7886])).
% 12.45/8.51 tff(7926,plain,
% 12.45/8.51 (((~![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)))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7927,plain,
% 12.45/8.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7928,plain,
% 12.45/8.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2))),
% 12.45/8.51 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 12.45/8.51 tff(7929,plain,
% 12.45/8.51 (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7928, 579, 7925])).
% 12.45/8.51 tff(7930,plain,
% 12.45/8.51 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2))))),
% 12.45/8.51 inference(quant_inst,[status(thm)],[])).
% 12.45/8.51 tff(7931,plain,
% 12.45/8.51 (v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)))),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7930, 1242])).
% 12.45/8.51 tff(7932,plain,
% 12.45/8.51 ((v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex2))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7933,plain,
% 12.45/8.51 (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7932, 2758])).
% 12.45/8.51 tff(7934,plain,
% 12.45/8.51 ((~(v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2))))) | (~v119(constB13)) | (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)))),
% 12.45/8.51 inference(tautology,[status(thm)],[])).
% 12.45/8.51 tff(7935,plain,
% 12.45/8.51 (~v119(constB13)),
% 12.45/8.51 inference(unit_resolution,[status(thm)],[7934, 7933, 7931])).
% 12.45/8.51 tff(7936,plain,
% 12.45/8.51 (((~![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))))))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7937,plain,
% 12.45/8.51 ((v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2))))) <=> (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.51 inference(rewrite,[status(thm)],[])).
% 12.45/8.51 tff(7938,plain,
% 12.45/8.51 (((~![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))))))),
% 12.45/8.51 inference(monotonicity,[status(thm)],[7937])).
% 12.45/8.51 tff(7939,plain,
% 12.45/8.51 (((~![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))))))),
% 12.45/8.52 inference(transitivity,[status(thm)],[7938, 7936])).
% 12.45/8.52 tff(7940,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))),
% 12.45/8.52 inference(quant_inst,[status(thm)],[])).
% 12.45/8.52 tff(7941,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.52 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 12.45/8.52 tff(7942,plain,
% 12.45/8.52 (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7941, 2651])).
% 12.45/8.52 tff(7943,plain,
% 12.45/8.52 (((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex1))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7944,plain,
% 12.45/8.52 ((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7943, 2913])).
% 12.45/8.52 tff(7945,plain,
% 12.45/8.52 ((~(v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))) | (~v124(constB13)) | (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7946,plain,
% 12.45/8.52 (~v124(constB13)),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7945, 7944, 7942])).
% 12.45/8.52 tff(7947,plain,
% 12.45/8.52 (((~![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)))))),
% 12.45/8.52 inference(rewrite,[status(thm)],[])).
% 12.45/8.52 tff(7948,plain,
% 12.45/8.52 ((v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2))))) <=> (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(rewrite,[status(thm)],[])).
% 12.45/8.52 tff(7949,plain,
% 12.45/8.52 (((~![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)))))),
% 12.45/8.52 inference(monotonicity,[status(thm)],[7948])).
% 12.45/8.52 tff(7950,plain,
% 12.45/8.52 (((~![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)))))),
% 12.45/8.52 inference(transitivity,[status(thm)],[7949, 7947])).
% 12.45/8.52 tff(7951,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))),
% 12.45/8.52 inference(quant_inst,[status(thm)],[])).
% 12.45/8.52 tff(7952,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 12.45/8.52 tff(7953,plain,
% 12.45/8.52 (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7952, 787])).
% 12.45/8.52 tff(7954,plain,
% 12.45/8.52 (((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7955,plain,
% 12.45/8.52 ((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7954, 2913])).
% 12.45/8.52 tff(7956,plain,
% 12.45/8.52 ((~(v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))) | (~v123(constB13)) | (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7957,plain,
% 12.45/8.52 (~v123(constB13)),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7956, 7955, 7953])).
% 12.45/8.52 tff(7958,plain,
% 12.45/8.52 (((~![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))))))),
% 12.45/8.52 inference(rewrite,[status(thm)],[])).
% 12.45/8.52 tff(7959,plain,
% 12.45/8.52 ((v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1))))) <=> (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.52 inference(rewrite,[status(thm)],[])).
% 12.45/8.52 tff(7960,plain,
% 12.45/8.52 (((~![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))))))),
% 12.45/8.52 inference(monotonicity,[status(thm)],[7959])).
% 12.45/8.52 tff(7961,plain,
% 12.45/8.52 (((~![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))))))),
% 12.45/8.52 inference(transitivity,[status(thm)],[7960, 7958])).
% 12.45/8.52 tff(7962,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))),
% 12.45/8.52 inference(quant_inst,[status(thm)],[])).
% 12.45/8.52 tff(7963,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.52 inference(modus_ponens,[status(thm)],[7962, 7961])).
% 12.45/8.52 tff(7964,plain,
% 12.45/8.52 (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7963, 900])).
% 12.45/8.52 tff(7965,plain,
% 12.45/8.52 ((v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7966,plain,
% 12.45/8.52 (v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7965, 2758])).
% 12.45/8.52 tff(7967,plain,
% 12.45/8.52 ((~(v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))) | (~v122(constB13)) | (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7968,plain,
% 12.45/8.52 (~v122(constB13)),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7967, 7966, 7964])).
% 12.45/8.52 tff(7969,plain,
% 12.45/8.52 (((~![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)))))),
% 12.45/8.52 inference(rewrite,[status(thm)],[])).
% 12.45/8.52 tff(7970,plain,
% 12.45/8.52 ((v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1))))) <=> (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(rewrite,[status(thm)],[])).
% 12.45/8.52 tff(7971,plain,
% 12.45/8.52 (((~![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)))))),
% 12.45/8.52 inference(monotonicity,[status(thm)],[7970])).
% 12.45/8.52 tff(7972,plain,
% 12.45/8.52 (((~![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)))))),
% 12.45/8.52 inference(transitivity,[status(thm)],[7971, 7969])).
% 12.45/8.52 tff(7973,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))),
% 12.45/8.52 inference(quant_inst,[status(thm)],[])).
% 12.45/8.52 tff(7974,plain,
% 12.45/8.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 12.45/8.52 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 12.45/8.52 tff(7975,plain,
% 12.45/8.52 (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7974, 1015])).
% 12.45/8.52 tff(7976,plain,
% 12.45/8.52 ((v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.52 tff(7977,plain,
% 12.45/8.52 (v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)),
% 12.45/8.52 inference(unit_resolution,[status(thm)],[7976, 2758])).
% 12.45/8.52 tff(7978,plain,
% 12.45/8.52 ((~(v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))) | (~v121(constB13)) | (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))),
% 12.45/8.52 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(7979,plain,
% 12.45/8.53 (~v121(constB13)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[7978, 7977, 7975])).
% 12.45/8.53 tff(7980,plain,
% 12.45/8.53 (((~![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))))))),
% 12.45/8.53 inference(rewrite,[status(thm)],[])).
% 12.45/8.53 tff(7981,plain,
% 12.45/8.53 ((v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0))))) <=> (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.53 inference(rewrite,[status(thm)],[])).
% 12.45/8.53 tff(7982,plain,
% 12.45/8.53 (((~![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))))))),
% 12.45/8.53 inference(monotonicity,[status(thm)],[7981])).
% 12.45/8.53 tff(7983,plain,
% 12.45/8.53 (((~![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))))))),
% 12.45/8.53 inference(transitivity,[status(thm)],[7982, 7980])).
% 12.45/8.53 tff(7984,plain,
% 12.45/8.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.53 inference(quant_inst,[status(thm)],[])).
% 12.45/8.53 tff(7985,plain,
% 12.45/8.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[7984, 7983])).
% 12.45/8.53 tff(7986,plain,
% 12.45/8.53 (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[7985, 1132])).
% 12.45/8.53 tff(7987,plain,
% 12.45/8.53 ((v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2))),
% 12.45/8.53 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(7988,plain,
% 12.45/8.53 (v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[7987, 2758])).
% 12.45/8.53 tff(7989,plain,
% 12.45/8.53 ((~(v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))) | (~v120(constB13)) | (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 12.45/8.53 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(7990,plain,
% 12.45/8.53 (~v120(constB13)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[7989, 7988, 7986])).
% 12.45/8.53 tff(7991,plain,
% 12.45/8.53 (^[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)))))),
% 12.45/8.53 inference(bind,[status(th)],[])).
% 12.45/8.53 tff(7992,plain,
% 12.45/8.53 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(quant_intro,[status(thm)],[7991])).
% 12.45/8.53 tff(7993,plain,
% 12.45/8.53 (^[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)))))),
% 12.45/8.53 inference(bind,[status(th)],[])).
% 12.45/8.53 tff(7994,plain,
% 12.45/8.53 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(quant_intro,[status(thm)],[7993])).
% 12.45/8.53 tff(7995,plain,
% 12.45/8.53 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(transitivity,[status(thm)],[7994, 7992])).
% 12.45/8.53 tff(7996,plain,
% 12.45/8.53 (^[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))))))),
% 12.45/8.53 inference(bind,[status(th)],[])).
% 12.45/8.53 tff(7997,plain,
% 12.45/8.53 (![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))))),
% 12.45/8.53 inference(quant_intro,[status(thm)],[7996])).
% 12.45/8.53 tff(7998,plain,
% 12.45/8.53 (![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))))),
% 12.45/8.53 inference(rewrite,[status(thm)],[])).
% 12.45/8.53 tff(7999,plain,
% 12.45/8.53 (^[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))))))),
% 12.45/8.53 inference(bind,[status(th)],[])).
% 12.45/8.53 tff(8000,plain,
% 12.45/8.53 (![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))))),
% 12.45/8.53 inference(quant_intro,[status(thm)],[7999])).
% 12.45/8.53 tff(8001,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')).
% 12.45/8.53 tff(8002,plain,
% 12.45/8.53 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[8001, 8000])).
% 12.45/8.53 tff(8003,plain,
% 12.45/8.53 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[8002, 7998])).
% 12.45/8.53 tff(8004,plain,(
% 12.45/8.53 ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(skolemize,[status(sab)],[8003])).
% 12.45/8.53 tff(8005,plain,
% 12.45/8.53 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[8004, 7997])).
% 12.45/8.53 tff(8006,plain,
% 12.45/8.53 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[8005, 7995])).
% 12.45/8.53 tff(8007,plain,
% 12.45/8.53 (((~![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(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))))),
% 12.45/8.53 inference(rewrite,[status(thm)],[])).
% 12.45/8.53 tff(8008,plain,
% 12.45/8.53 ((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))))),
% 12.45/8.53 inference(rewrite,[status(thm)],[])).
% 12.45/8.53 tff(8009,plain,
% 12.45/8.53 (((~![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(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)))))),
% 12.45/8.53 inference(monotonicity,[status(thm)],[8008])).
% 12.45/8.53 tff(8010,plain,
% 12.45/8.53 (((~![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(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))))),
% 12.45/8.53 inference(transitivity,[status(thm)],[8009, 8007])).
% 12.45/8.53 tff(8011,plain,
% 12.45/8.53 ((~![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(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))),
% 12.45/8.53 inference(quant_inst,[status(thm)],[])).
% 12.45/8.53 tff(8012,plain,
% 12.45/8.53 ((~![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(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[8011, 8010])).
% 12.45/8.53 tff(8013,plain,
% 12.45/8.53 (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8012, 8006])).
% 12.45/8.53 tff(8014,plain,
% 12.45/8.53 (![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8013, 7990, 7979, 7968, 7957, 7946, 7935])).
% 12.45/8.53 tff(8015,plain,
% 12.45/8.53 (((~![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)))),
% 12.45/8.53 inference(rewrite,[status(thm)],[])).
% 12.45/8.53 tff(8016,plain,
% 12.45/8.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b001(bitIndex2)))),
% 12.45/8.53 inference(quant_inst,[status(thm)],[])).
% 12.45/8.53 tff(8017,plain,
% 12.45/8.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b001(bitIndex2))),
% 12.45/8.53 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 12.45/8.53 tff(8018,plain,
% 12.45/8.53 (v130(constB13, bitIndex2) <=> b001(bitIndex2)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8017, 579, 8014])).
% 12.45/8.53 tff(8019,plain,
% 12.45/8.53 ((~(v130(constB13, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB13, bitIndex2)) | b001(bitIndex2)),
% 12.45/8.53 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(8020,plain,
% 12.45/8.53 ((~(v130(constB13, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB13, bitIndex2))),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8019, 1480])).
% 12.45/8.53 tff(8021,plain,
% 12.45/8.53 (~v130(constB13, bitIndex2)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8020, 8018])).
% 12.45/8.53 tff(8022,plain,
% 12.45/8.53 ((~(v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2))) | (~v127(constB13, bitIndex2)) | v130(constB13, bitIndex2)),
% 12.45/8.53 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(8023,plain,
% 12.45/8.53 (~v127(constB13, bitIndex2)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8022, 8021, 7929])).
% 12.45/8.53 tff(8024,plain,
% 12.45/8.53 ((~(v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2))) | (~v129(constB14, bitIndex2)) | v127(constB13, bitIndex2)),
% 12.45/8.53 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(8025,plain,
% 12.45/8.53 (~v129(constB14, bitIndex2)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8024, 8023, 7921])).
% 12.45/8.53 tff(8026,plain,
% 12.45/8.53 ((~(v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2)),
% 12.45/8.53 inference(tautology,[status(thm)],[])).
% 12.45/8.53 tff(8027,plain,
% 12.45/8.53 (~v90(constB14, bitIndex2)),
% 12.45/8.53 inference(unit_resolution,[status(thm)],[8026, 8025, 7913])).
% 12.45/8.54 tff(8028,plain,
% 12.45/8.54 ((~(v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2))) | (~v90(constB15, bitIndex2)) | v90(constB14, bitIndex2)),
% 12.45/8.54 inference(tautology,[status(thm)],[])).
% 12.45/8.54 tff(8029,plain,
% 12.45/8.54 (~v90(constB15, bitIndex2)),
% 12.45/8.54 inference(unit_resolution,[status(thm)],[8028, 8027, 7823])).
% 12.45/8.54 tff(8030,plain,
% 12.45/8.54 (((~![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)))),
% 12.45/8.54 inference(rewrite,[status(thm)],[])).
% 12.45/8.54 tff(8031,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))),
% 12.45/8.54 inference(quant_inst,[status(thm)],[])).
% 12.45/8.54 tff(8032,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0))),
% 12.45/8.54 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 12.45/8.54 tff(8033,plain,
% 12.45/8.54 (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)),
% 12.45/8.54 inference(unit_resolution,[status(thm)],[8032, 1275, 7819])).
% 12.45/8.54 tff(8034,plain,
% 12.45/8.54 (((~![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)))),
% 12.45/8.54 inference(rewrite,[status(thm)],[])).
% 12.45/8.54 tff(8035,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))),
% 12.45/8.54 inference(quant_inst,[status(thm)],[])).
% 12.45/8.54 tff(8036,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0))),
% 12.45/8.54 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 12.45/8.54 tff(8037,plain,
% 12.45/8.54 (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)),
% 12.45/8.54 inference(unit_resolution,[status(thm)],[8036, 1275, 7909])).
% 12.45/8.54 tff(8038,plain,
% 12.45/8.54 (((~![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)))),
% 12.45/8.54 inference(rewrite,[status(thm)],[])).
% 12.45/8.54 tff(8039,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))),
% 12.45/8.54 inference(quant_inst,[status(thm)],[])).
% 12.45/8.54 tff(8040,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0))),
% 12.45/8.54 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 12.45/8.54 tff(8041,plain,
% 12.45/8.54 (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)),
% 12.45/8.54 inference(unit_resolution,[status(thm)],[8040, 1275, 7917])).
% 12.45/8.54 tff(8042,plain,
% 12.45/8.54 (((~![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)))),
% 12.45/8.54 inference(rewrite,[status(thm)],[])).
% 12.45/8.54 tff(8043,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))),
% 12.45/8.54 inference(quant_inst,[status(thm)],[])).
% 12.45/8.54 tff(8044,plain,
% 12.45/8.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0))),
% 12.45/8.54 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 12.53/8.54 tff(8045,plain,
% 12.53/8.54 (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8044, 1275, 7925])).
% 12.53/8.54 tff(8046,plain,
% 12.53/8.54 (((~![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)))),
% 12.53/8.54 inference(rewrite,[status(thm)],[])).
% 12.53/8.54 tff(8047,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b001(bitIndex0)))),
% 12.53/8.54 inference(quant_inst,[status(thm)],[])).
% 12.53/8.54 tff(8048,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b001(bitIndex0))),
% 12.53/8.54 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 12.53/8.54 tff(8049,plain,
% 12.53/8.54 (v130(constB13, bitIndex0) <=> b001(bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8048, 1275, 8014])).
% 12.53/8.54 tff(8050,plain,
% 12.53/8.54 ((~(v130(constB13, bitIndex0) <=> b001(bitIndex0))) | v130(constB13, bitIndex0) | (~b001(bitIndex0))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8051,plain,
% 12.53/8.54 ((~(v130(constB13, bitIndex0) <=> b001(bitIndex0))) | v130(constB13, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8050, 1514])).
% 12.53/8.54 tff(8052,plain,
% 12.53/8.54 (v130(constB13, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8051, 8049])).
% 12.53/8.54 tff(8053,plain,
% 12.53/8.54 ((~(v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0))) | v127(constB13, bitIndex0) | (~v130(constB13, bitIndex0))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8054,plain,
% 12.53/8.54 (v127(constB13, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8053, 8052, 8045])).
% 12.53/8.54 tff(8055,plain,
% 12.53/8.54 ((~(v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0))) | v129(constB14, bitIndex0) | (~v127(constB13, bitIndex0))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8056,plain,
% 12.53/8.54 (v129(constB14, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8055, 8054, 8041])).
% 12.53/8.54 tff(8057,plain,
% 12.53/8.54 ((~(v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8058,plain,
% 12.53/8.54 (v90(constB14, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8057, 8056, 8037])).
% 12.53/8.54 tff(8059,plain,
% 12.53/8.54 ((~(v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0))) | v90(constB15, bitIndex0) | (~v90(constB14, bitIndex0))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8060,plain,
% 12.53/8.54 (v90(constB15, bitIndex0)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8059, 8058, 8033])).
% 12.53/8.54 tff(8061,plain,
% 12.53/8.54 (((~![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)))),
% 12.53/8.54 inference(rewrite,[status(thm)],[])).
% 12.53/8.54 tff(8062,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))),
% 12.53/8.54 inference(quant_inst,[status(thm)],[])).
% 12.53/8.54 tff(8063,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1))),
% 12.53/8.54 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 12.53/8.54 tff(8064,plain,
% 12.53/8.54 (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8063, 1288, 7819])).
% 12.53/8.54 tff(8065,plain,
% 12.53/8.54 (((~![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)))),
% 12.53/8.54 inference(rewrite,[status(thm)],[])).
% 12.53/8.54 tff(8066,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))),
% 12.53/8.54 inference(quant_inst,[status(thm)],[])).
% 12.53/8.54 tff(8067,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1))),
% 12.53/8.54 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 12.53/8.54 tff(8068,plain,
% 12.53/8.54 (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8067, 1288, 7909])).
% 12.53/8.54 tff(8069,plain,
% 12.53/8.54 (((~![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)))),
% 12.53/8.54 inference(rewrite,[status(thm)],[])).
% 12.53/8.54 tff(8070,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))),
% 12.53/8.54 inference(quant_inst,[status(thm)],[])).
% 12.53/8.54 tff(8071,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1))),
% 12.53/8.54 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 12.53/8.54 tff(8072,plain,
% 12.53/8.54 (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8071, 1288, 7917])).
% 12.53/8.54 tff(8073,plain,
% 12.53/8.54 (((~![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)))),
% 12.53/8.54 inference(rewrite,[status(thm)],[])).
% 12.53/8.54 tff(8074,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))),
% 12.53/8.54 inference(quant_inst,[status(thm)],[])).
% 12.53/8.54 tff(8075,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1))),
% 12.53/8.54 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 12.53/8.54 tff(8076,plain,
% 12.53/8.54 (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8075, 1288, 7925])).
% 12.53/8.54 tff(8077,plain,
% 12.53/8.54 (((~![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)))),
% 12.53/8.54 inference(rewrite,[status(thm)],[])).
% 12.53/8.54 tff(8078,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b001(bitIndex1)))),
% 12.53/8.54 inference(quant_inst,[status(thm)],[])).
% 12.53/8.54 tff(8079,plain,
% 12.53/8.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b001(bitIndex1))),
% 12.53/8.54 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 12.53/8.54 tff(8080,plain,
% 12.53/8.54 (v130(constB13, bitIndex1) <=> b001(bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8079, 1288, 8014])).
% 12.53/8.54 tff(8081,plain,
% 12.53/8.54 ((~(v130(constB13, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB13, bitIndex1)) | b001(bitIndex1)),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8082,plain,
% 12.53/8.54 ((~(v130(constB13, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB13, bitIndex1))),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8081, 1548])).
% 12.53/8.54 tff(8083,plain,
% 12.53/8.54 (~v130(constB13, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8082, 8080])).
% 12.53/8.54 tff(8084,plain,
% 12.53/8.54 ((~(v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1))) | (~v127(constB13, bitIndex1)) | v130(constB13, bitIndex1)),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8085,plain,
% 12.53/8.54 (~v127(constB13, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8084, 8083, 8076])).
% 12.53/8.54 tff(8086,plain,
% 12.53/8.54 ((~(v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1))) | (~v129(constB14, bitIndex1)) | v127(constB13, bitIndex1)),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8087,plain,
% 12.53/8.54 (~v129(constB14, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8086, 8085, 8072])).
% 12.53/8.54 tff(8088,plain,
% 12.53/8.54 ((~(v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1)),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8089,plain,
% 12.53/8.54 (~v90(constB14, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8088, 8087, 8068])).
% 12.53/8.54 tff(8090,plain,
% 12.53/8.54 ((~(v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1))) | (~v90(constB15, bitIndex1)) | v90(constB14, bitIndex1)),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8091,plain,
% 12.53/8.54 (~v90(constB15, bitIndex1)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8090, 8089, 8064])).
% 12.53/8.54 tff(8092,plain,
% 12.53/8.54 ((~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))) | v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8093,plain,
% 12.53/8.54 (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8092, 8091, 8060, 8029])).
% 12.53/8.54 tff(8094,plain,
% 12.53/8.54 ((~(v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) | v120(constB15) | (v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8095,plain,
% 12.53/8.54 (v120(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8094, 8093, 7794])).
% 12.53/8.54 tff(8096,plain,
% 12.53/8.54 ((v119(constB15) | v120(constB15)) | (~v120(constB15))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8097,plain,
% 12.53/8.54 (v119(constB15) | v120(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8096, 8095])).
% 12.53/8.54 tff(8098,plain,
% 12.53/8.54 ((~(v118(constB15) <=> (v119(constB15) | v120(constB15)))) | v118(constB15) | (~(v119(constB15) | v120(constB15)))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8099,plain,
% 12.53/8.54 (v118(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8098, 8097, 7787])).
% 12.53/8.54 tff(8100,plain,
% 12.53/8.54 ((v118(constB15) | v121(constB15)) | (~v118(constB15))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8101,plain,
% 12.53/8.54 (v118(constB15) | v121(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8100, 8099])).
% 12.53/8.54 tff(8102,plain,
% 12.53/8.54 ((~(v117(constB15) <=> (v118(constB15) | v121(constB15)))) | v117(constB15) | (~(v118(constB15) | v121(constB15)))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8103,plain,
% 12.53/8.54 (v117(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8102, 8101, 7785])).
% 12.53/8.54 tff(8104,plain,
% 12.53/8.54 ((v117(constB15) | v122(constB15)) | (~v117(constB15))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8105,plain,
% 12.53/8.54 (v117(constB15) | v122(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8104, 8103])).
% 12.53/8.54 tff(8106,plain,
% 12.53/8.54 ((~(v116(constB15) <=> (v117(constB15) | v122(constB15)))) | v116(constB15) | (~(v117(constB15) | v122(constB15)))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8107,plain,
% 12.53/8.54 (v116(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8106, 8105, 7783])).
% 12.53/8.54 tff(8108,plain,
% 12.53/8.54 ((v116(constB15) | v123(constB15)) | (~v116(constB15))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8109,plain,
% 12.53/8.54 (v116(constB15) | v123(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8108, 8107])).
% 12.53/8.54 tff(8110,plain,
% 12.53/8.54 ((~(v115(constB15) <=> (v116(constB15) | v123(constB15)))) | v115(constB15) | (~(v116(constB15) | v123(constB15)))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8111,plain,
% 12.53/8.54 (v115(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8110, 8109, 7781])).
% 12.53/8.54 tff(8112,plain,
% 12.53/8.54 ((v115(constB15) | v124(constB15)) | (~v115(constB15))),
% 12.53/8.54 inference(tautology,[status(thm)],[])).
% 12.53/8.54 tff(8113,plain,
% 12.53/8.54 (v115(constB15) | v124(constB15)),
% 12.53/8.54 inference(unit_resolution,[status(thm)],[8112, 8111])).
% 12.53/8.55 tff(8114,plain,
% 12.53/8.55 ((~(v114(constB15) <=> (v115(constB15) | v124(constB15)))) | v114(constB15) | (~(v115(constB15) | v124(constB15)))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8115,plain,
% 12.53/8.55 (v114(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8114, 8113, 7779])).
% 12.53/8.55 tff(8116,plain,
% 12.53/8.55 ((v114(constB15) | v125(constB15)) | (~v114(constB15))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8117,plain,
% 12.53/8.55 (v114(constB15) | v125(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8116, 8115])).
% 12.53/8.55 tff(8118,plain,
% 12.53/8.55 ((~(v113(constB15) <=> (v114(constB15) | v125(constB15)))) | v113(constB15) | (~(v114(constB15) | v125(constB15)))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8119,plain,
% 12.53/8.55 (v113(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8118, 8117, 7777])).
% 12.53/8.55 tff(8120,plain,
% 12.53/8.55 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB15)) <=> v111(constB15))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8121,plain,
% 12.53/8.55 ((~v126(constB15)) <=> v111(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8120, 1345])).
% 12.53/8.55 tff(8122,plain,
% 12.53/8.55 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8123,plain,
% 12.53/8.55 (v111(constB15) <=> v26(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8122, 1357])).
% 12.53/8.55 tff(8124,plain,
% 12.53/8.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8125,plain,
% 12.53/8.55 (~v26(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8124, 1369])).
% 12.53/8.55 tff(8126,plain,
% 12.53/8.55 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8127,plain,
% 12.53/8.55 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8126, 8125])).
% 12.53/8.55 tff(8128,plain,
% 12.53/8.55 (~v111(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8127, 8123])).
% 12.53/8.55 tff(8129,plain,
% 12.53/8.55 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15) | v111(constB15)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8130,plain,
% 12.53/8.55 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8129, 8128])).
% 12.53/8.55 tff(8131,plain,
% 12.53/8.55 (v126(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8130, 8121])).
% 12.53/8.55 tff(8132,plain,
% 12.53/8.55 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15)) | (~v126(constB15))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8133,plain,
% 12.53/8.55 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8132, 8131])).
% 12.53/8.55 tff(8134,plain,
% 12.53/8.55 (~((~v113(constB15)) | (~v126(constB15)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8133, 8119])).
% 12.53/8.55 tff(8135,plain,
% 12.53/8.55 ((~(v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))) | v112(constB15) | ((~v113(constB15)) | (~v126(constB15)))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8136,plain,
% 12.53/8.55 (v112(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8135, 8134, 7775])).
% 12.53/8.55 tff(8137,plain,
% 12.53/8.55 ((v111(constB15) | v112(constB15)) | (~v112(constB15))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8138,plain,
% 12.53/8.55 (v111(constB15) | v112(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8137, 8136])).
% 12.53/8.55 tff(8139,plain,
% 12.53/8.55 ((~(v108(constB15) <=> (v111(constB15) | v112(constB15)))) | v108(constB15) | (~(v111(constB15) | v112(constB15)))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8140,plain,
% 12.53/8.55 (v108(constB15)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8139, 8138, 7773])).
% 12.53/8.55 tff(8141,plain,
% 12.53/8.55 ((~(v110(constB16) <=> v108(constB15))) | v110(constB16) | (~v108(constB15))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8142,plain,
% 12.53/8.55 (v110(constB16)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8141, 8140, 7771])).
% 12.53/8.55 tff(8143,plain,
% 12.53/8.55 ((~((~v101(constB16)) | (~v110(constB16)))) | (~v101(constB16)) | (~v110(constB16))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8144,plain,
% 12.53/8.55 (~((~v101(constB16)) | (~v110(constB16)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8143, 8142, 7767])).
% 12.53/8.55 tff(8145,plain,
% 12.53/8.55 ((~(v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))) | v100(constB16) | ((~v101(constB16)) | (~v110(constB16)))),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8146,plain,
% 12.53/8.55 (v100(constB16)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8145, 8144, 7736])).
% 12.53/8.55 tff(8147,plain,
% 12.53/8.55 (((~![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))))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8148,plain,
% 12.53/8.55 ((~![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))))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8149,plain,
% 12.53/8.55 ((~![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)))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 12.53/8.55 tff(8150,plain,
% 12.53/8.55 ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8149, 1405])).
% 12.53/8.55 tff(8151,plain,
% 12.53/8.55 (![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8150, 8146])).
% 12.53/8.55 tff(8152,plain,
% 12.53/8.55 (((~![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)))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8153,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8154,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 12.53/8.55 tff(8155,plain,
% 12.53/8.55 (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8154, 579, 8151])).
% 12.53/8.55 tff(8156,plain,
% 12.53/8.55 (((~![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))))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8157,plain,
% 12.53/8.55 ((~![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))))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8158,plain,
% 12.53/8.55 ((~![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)))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 12.53/8.55 tff(8159,plain,
% 12.53/8.55 (![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8158, 7732, 1427])).
% 12.53/8.55 tff(8160,plain,
% 12.53/8.55 (((~![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)))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8161,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8162,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 12.53/8.55 tff(8163,plain,
% 12.53/8.55 (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8162, 579, 8159])).
% 12.53/8.55 tff(8164,plain,
% 12.53/8.55 (((~![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))))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8165,plain,
% 12.53/8.55 ((~![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))))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8166,plain,
% 12.53/8.55 ((~![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)))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 12.53/8.55 tff(8167,plain,
% 12.53/8.55 (![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8166, 1448, 8128])).
% 12.53/8.55 tff(8168,plain,
% 12.53/8.55 (((~![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)))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8169,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8170,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8169, 8168])).
% 12.53/8.55 tff(8171,plain,
% 12.53/8.55 (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8170, 579, 8167])).
% 12.53/8.55 tff(8172,plain,
% 12.53/8.55 (((~![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))))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8173,plain,
% 12.53/8.55 ((~![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))))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8174,plain,
% 12.53/8.55 ((~![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)))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 12.53/8.55 tff(8175,plain,
% 12.53/8.55 ((~v120(constB15)) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8174, 1652])).
% 12.53/8.55 tff(8176,plain,
% 12.53/8.55 (![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8175, 8095])).
% 12.53/8.55 tff(8177,plain,
% 12.53/8.55 (((~![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)))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8178,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b010(bitIndex2)))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8179,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b010(bitIndex2))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8178, 8177])).
% 12.53/8.55 tff(8180,plain,
% 12.53/8.55 (v130(constB15, bitIndex2) <=> b010(bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8179, 579, 8176])).
% 12.53/8.55 tff(8181,plain,
% 12.53/8.55 ((~(v130(constB15, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB15, bitIndex2)) | b010(bitIndex2)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8182,plain,
% 12.53/8.55 ((~(v130(constB15, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB15, bitIndex2))),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8181, 1664])).
% 12.53/8.55 tff(8183,plain,
% 12.53/8.55 (~v130(constB15, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8182, 8180])).
% 12.53/8.55 tff(8184,plain,
% 12.53/8.55 ((~(v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2))) | (~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8185,plain,
% 12.53/8.55 (~v127(constB15, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8184, 8183, 8171])).
% 12.53/8.55 tff(8186,plain,
% 12.53/8.55 ((~(v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2))) | (~v129(constB16, bitIndex2)) | v127(constB15, bitIndex2)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8187,plain,
% 12.53/8.55 (~v129(constB16, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8186, 8185, 8163])).
% 12.53/8.55 tff(8188,plain,
% 12.53/8.55 ((~(v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8189,plain,
% 12.53/8.55 (~v90(constB16, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8188, 8187, 8155])).
% 12.53/8.55 tff(8190,plain,
% 12.53/8.55 ((~(v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2))) | (~v90(constB17, bitIndex2)) | v90(constB16, bitIndex2)),
% 12.53/8.55 inference(tautology,[status(thm)],[])).
% 12.53/8.55 tff(8191,plain,
% 12.53/8.55 (~v90(constB17, bitIndex2)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8190, 8189, 7729])).
% 12.53/8.55 tff(8192,plain,
% 12.53/8.55 (((~![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)))),
% 12.53/8.55 inference(rewrite,[status(thm)],[])).
% 12.53/8.55 tff(8193,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))),
% 12.53/8.55 inference(quant_inst,[status(thm)],[])).
% 12.53/8.55 tff(8194,plain,
% 12.53/8.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0))),
% 12.53/8.55 inference(modus_ponens,[status(thm)],[8193, 8192])).
% 12.53/8.55 tff(8195,plain,
% 12.53/8.55 (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)),
% 12.53/8.55 inference(unit_resolution,[status(thm)],[8194, 1275, 7725])).
% 12.53/8.55 tff(8196,plain,
% 12.53/8.55 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8197,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8198,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 12.53/8.56 tff(8199,plain,
% 12.53/8.56 (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8198, 1275, 8151])).
% 12.53/8.56 tff(8200,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8201,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8202,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 12.53/8.56 tff(8203,plain,
% 12.53/8.56 (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8202, 1275, 8159])).
% 12.53/8.56 tff(8204,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8205,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8206,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 12.53/8.56 tff(8207,plain,
% 12.53/8.56 (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8206, 1275, 8167])).
% 12.53/8.56 tff(8208,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8209,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b010(bitIndex0)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8210,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b010(bitIndex0))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 12.53/8.56 tff(8211,plain,
% 12.53/8.56 (v130(constB15, bitIndex0) <=> b010(bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8210, 1275, 8176])).
% 12.53/8.56 tff(8212,plain,
% 12.53/8.56 ((~(v130(constB15, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB15, bitIndex0)) | b010(bitIndex0)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8213,plain,
% 12.53/8.56 ((~(v130(constB15, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB15, bitIndex0))),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8212, 1698])).
% 12.53/8.56 tff(8214,plain,
% 12.53/8.56 (~v130(constB15, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8213, 8211])).
% 12.53/8.56 tff(8215,plain,
% 12.53/8.56 ((~(v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0))) | (~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8216,plain,
% 12.53/8.56 (~v127(constB15, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8215, 8214, 8207])).
% 12.53/8.56 tff(8217,plain,
% 12.53/8.56 ((~(v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0))) | (~v129(constB16, bitIndex0)) | v127(constB15, bitIndex0)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8218,plain,
% 12.53/8.56 (~v129(constB16, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8217, 8216, 8203])).
% 12.53/8.56 tff(8219,plain,
% 12.53/8.56 ((~(v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8220,plain,
% 12.53/8.56 (~v90(constB16, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8219, 8218, 8199])).
% 12.53/8.56 tff(8221,plain,
% 12.53/8.56 ((~(v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0))) | (~v90(constB17, bitIndex0)) | v90(constB16, bitIndex0)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8222,plain,
% 12.53/8.56 (~v90(constB17, bitIndex0)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8221, 8220, 8195])).
% 12.53/8.56 tff(8223,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8224,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8225,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 12.53/8.56 tff(8226,plain,
% 12.53/8.56 (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8225, 1288, 7725])).
% 12.53/8.56 tff(8227,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8228,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8229,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 12.53/8.56 tff(8230,plain,
% 12.53/8.56 (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8229, 1288, 8151])).
% 12.53/8.56 tff(8231,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8232,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8233,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 12.53/8.56 tff(8234,plain,
% 12.53/8.56 (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8233, 1288, 8159])).
% 12.53/8.56 tff(8235,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8236,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8237,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 12.53/8.56 tff(8238,plain,
% 12.53/8.56 (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8237, 1288, 8167])).
% 12.53/8.56 tff(8239,plain,
% 12.53/8.56 (((~![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)))),
% 12.53/8.56 inference(rewrite,[status(thm)],[])).
% 12.53/8.56 tff(8240,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b010(bitIndex1)))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8241,plain,
% 12.53/8.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b010(bitIndex1))),
% 12.53/8.56 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 12.53/8.56 tff(8242,plain,
% 12.53/8.56 (v130(constB15, bitIndex1) <=> b010(bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8241, 1288, 8176])).
% 12.53/8.56 tff(8243,plain,
% 12.53/8.56 ((~(v130(constB15, bitIndex1) <=> b010(bitIndex1))) | v130(constB15, bitIndex1) | (~b010(bitIndex1))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8244,plain,
% 12.53/8.56 ((~(v130(constB15, bitIndex1) <=> b010(bitIndex1))) | v130(constB15, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8243, 1732])).
% 12.53/8.56 tff(8245,plain,
% 12.53/8.56 (v130(constB15, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8244, 8242])).
% 12.53/8.56 tff(8246,plain,
% 12.53/8.56 ((~(v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1))) | v127(constB15, bitIndex1) | (~v130(constB15, bitIndex1))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8247,plain,
% 12.53/8.56 (v127(constB15, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8246, 8245, 8238])).
% 12.53/8.56 tff(8248,plain,
% 12.53/8.56 ((~(v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1))) | v129(constB16, bitIndex1) | (~v127(constB15, bitIndex1))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8249,plain,
% 12.53/8.56 (v129(constB16, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8248, 8247, 8234])).
% 12.53/8.56 tff(8250,plain,
% 12.53/8.56 ((~(v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8251,plain,
% 12.53/8.56 (v90(constB16, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8250, 8249, 8230])).
% 12.53/8.56 tff(8252,plain,
% 12.53/8.56 ((~(v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1))) | v90(constB17, bitIndex1) | (~v90(constB16, bitIndex1))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8253,plain,
% 12.53/8.56 (v90(constB17, bitIndex1)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8252, 8251, 8226])).
% 12.53/8.56 tff(8254,plain,
% 12.53/8.56 ((~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8255,plain,
% 12.53/8.56 (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8254, 8253, 8222, 8191])).
% 12.53/8.56 tff(8256,plain,
% 12.53/8.56 ((~(v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))) | v121(constB17) | (v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8257,plain,
% 12.53/8.56 (v121(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8256, 8255, 7697])).
% 12.53/8.56 tff(8258,plain,
% 12.53/8.56 ((v118(constB17) | v121(constB17)) | (~v121(constB17))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8259,plain,
% 12.53/8.56 (v118(constB17) | v121(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8258, 8257])).
% 12.53/8.56 tff(8260,plain,
% 12.53/8.56 ((~(v117(constB17) <=> (v118(constB17) | v121(constB17)))) | v117(constB17) | (~(v118(constB17) | v121(constB17)))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8261,plain,
% 12.53/8.56 (v117(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8260, 8259, 7690])).
% 12.53/8.56 tff(8262,plain,
% 12.53/8.56 ((v117(constB17) | v122(constB17)) | (~v117(constB17))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8263,plain,
% 12.53/8.56 (v117(constB17) | v122(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8262, 8261])).
% 12.53/8.56 tff(8264,plain,
% 12.53/8.56 ((~(v116(constB17) <=> (v117(constB17) | v122(constB17)))) | v116(constB17) | (~(v117(constB17) | v122(constB17)))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8265,plain,
% 12.53/8.56 (v116(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8264, 8263, 7688])).
% 12.53/8.56 tff(8266,plain,
% 12.53/8.56 ((v116(constB17) | v123(constB17)) | (~v116(constB17))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8267,plain,
% 12.53/8.56 (v116(constB17) | v123(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8266, 8265])).
% 12.53/8.56 tff(8268,plain,
% 12.53/8.56 ((~(v115(constB17) <=> (v116(constB17) | v123(constB17)))) | v115(constB17) | (~(v116(constB17) | v123(constB17)))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8269,plain,
% 12.53/8.56 (v115(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8268, 8267, 7686])).
% 12.53/8.56 tff(8270,plain,
% 12.53/8.56 ((v115(constB17) | v124(constB17)) | (~v115(constB17))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8271,plain,
% 12.53/8.56 (v115(constB17) | v124(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8270, 8269])).
% 12.53/8.56 tff(8272,plain,
% 12.53/8.56 ((~(v114(constB17) <=> (v115(constB17) | v124(constB17)))) | v114(constB17) | (~(v115(constB17) | v124(constB17)))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8273,plain,
% 12.53/8.56 (v114(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8272, 8271, 7684])).
% 12.53/8.56 tff(8274,plain,
% 12.53/8.56 ((v114(constB17) | v125(constB17)) | (~v114(constB17))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8275,plain,
% 12.53/8.56 (v114(constB17) | v125(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8274, 8273])).
% 12.53/8.56 tff(8276,plain,
% 12.53/8.56 ((~(v113(constB17) <=> (v114(constB17) | v125(constB17)))) | v113(constB17) | (~(v114(constB17) | v125(constB17)))),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8277,plain,
% 12.53/8.56 (v113(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8276, 8275, 7682])).
% 12.53/8.56 tff(8278,plain,
% 12.53/8.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB17)) <=> v111(constB17))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8279,plain,
% 12.53/8.56 ((~v126(constB17)) <=> v111(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8278, 1345])).
% 12.53/8.56 tff(8280,plain,
% 12.53/8.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8281,plain,
% 12.53/8.56 (v111(constB17) <=> v26(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8280, 1357])).
% 12.53/8.56 tff(8282,plain,
% 12.53/8.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 12.53/8.56 inference(quant_inst,[status(thm)],[])).
% 12.53/8.56 tff(8283,plain,
% 12.53/8.56 (~v26(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8282, 1369])).
% 12.53/8.56 tff(8284,plain,
% 12.53/8.56 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.56 tff(8285,plain,
% 12.53/8.56 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8284, 8283])).
% 12.53/8.56 tff(8286,plain,
% 12.53/8.56 (~v111(constB17)),
% 12.53/8.56 inference(unit_resolution,[status(thm)],[8285, 8281])).
% 12.53/8.56 tff(8287,plain,
% 12.53/8.56 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17) | v111(constB17)),
% 12.53/8.56 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8288,plain,
% 12.53/8.57 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8287, 8286])).
% 12.53/8.57 tff(8289,plain,
% 12.53/8.57 (v126(constB17)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8288, 8279])).
% 12.53/8.57 tff(8290,plain,
% 12.53/8.57 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17)) | (~v126(constB17))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8291,plain,
% 12.53/8.57 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8290, 8289])).
% 12.53/8.57 tff(8292,plain,
% 12.53/8.57 (~((~v113(constB17)) | (~v126(constB17)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8291, 8277])).
% 12.53/8.57 tff(8293,plain,
% 12.53/8.57 ((~(v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))) | v112(constB17) | ((~v113(constB17)) | (~v126(constB17)))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8294,plain,
% 12.53/8.57 (v112(constB17)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8293, 8292, 7680])).
% 12.53/8.57 tff(8295,plain,
% 12.53/8.57 ((v111(constB17) | v112(constB17)) | (~v112(constB17))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8296,plain,
% 12.53/8.57 (v111(constB17) | v112(constB17)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8295, 8294])).
% 12.53/8.57 tff(8297,plain,
% 12.53/8.57 ((~(v108(constB17) <=> (v111(constB17) | v112(constB17)))) | v108(constB17) | (~(v111(constB17) | v112(constB17)))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8298,plain,
% 12.53/8.57 (v108(constB17)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8297, 8296, 7678])).
% 12.53/8.57 tff(8299,plain,
% 12.53/8.57 ((~(v110(constB18) <=> v108(constB17))) | v110(constB18) | (~v108(constB17))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8300,plain,
% 12.53/8.57 (v110(constB18)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8299, 8298, 7676])).
% 12.53/8.57 tff(8301,plain,
% 12.53/8.57 ((~((~v101(constB18)) | (~v110(constB18)))) | (~v101(constB18)) | (~v110(constB18))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8302,plain,
% 12.53/8.57 (~((~v101(constB18)) | (~v110(constB18)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8301, 8300, 7672])).
% 12.53/8.57 tff(8303,plain,
% 12.53/8.57 ((~(v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))) | v100(constB18) | ((~v101(constB18)) | (~v110(constB18)))),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8304,plain,
% 12.53/8.57 (v100(constB18)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8303, 8302, 7641])).
% 12.53/8.57 tff(8305,plain,
% 12.53/8.57 (((~![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))))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8306,plain,
% 12.53/8.57 ((~![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))))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8307,plain,
% 12.53/8.57 ((~![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)))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 12.53/8.57 tff(8308,plain,
% 12.53/8.57 ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8307, 1405])).
% 12.53/8.57 tff(8309,plain,
% 12.53/8.57 (![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8308, 8304])).
% 12.53/8.57 tff(8310,plain,
% 12.53/8.57 (((~![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)))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8311,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8312,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 12.53/8.57 tff(8313,plain,
% 12.53/8.57 (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8312, 579, 8309])).
% 12.53/8.57 tff(8314,plain,
% 12.53/8.57 (((~![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))))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8315,plain,
% 12.53/8.57 ((~![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))))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8316,plain,
% 12.53/8.57 ((~![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)))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 12.53/8.57 tff(8317,plain,
% 12.53/8.57 (![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8316, 7637, 1427])).
% 12.53/8.57 tff(8318,plain,
% 12.53/8.57 (((~![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)))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8319,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8320,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 12.53/8.57 tff(8321,plain,
% 12.53/8.57 (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8320, 579, 8317])).
% 12.53/8.57 tff(8322,plain,
% 12.53/8.57 (((~![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))))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8323,plain,
% 12.53/8.57 ((~![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))))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8324,plain,
% 12.53/8.57 ((~![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)))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8323, 8322])).
% 12.53/8.57 tff(8325,plain,
% 12.53/8.57 (![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8324, 1448, 8286])).
% 12.53/8.57 tff(8326,plain,
% 12.53/8.57 (((~![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)))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8327,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8328,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8327, 8326])).
% 12.53/8.57 tff(8329,plain,
% 12.53/8.57 (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8328, 579, 8325])).
% 12.53/8.57 tff(8330,plain,
% 12.53/8.57 (((~![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))))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8331,plain,
% 12.53/8.57 ((~![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))))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8332,plain,
% 12.53/8.57 ((~![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)))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 12.53/8.57 tff(8333,plain,
% 12.53/8.57 ((~v121(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8332, 1832])).
% 12.53/8.57 tff(8334,plain,
% 12.53/8.57 (![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8333, 8257])).
% 12.53/8.57 tff(8335,plain,
% 12.53/8.57 (((~![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)))),
% 12.53/8.57 inference(rewrite,[status(thm)],[])).
% 12.53/8.57 tff(8336,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b011(bitIndex2)))),
% 12.53/8.57 inference(quant_inst,[status(thm)],[])).
% 12.53/8.57 tff(8337,plain,
% 12.53/8.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b011(bitIndex2))),
% 12.53/8.57 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 12.53/8.57 tff(8338,plain,
% 12.53/8.57 (v130(constB17, bitIndex2) <=> b011(bitIndex2)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8337, 579, 8334])).
% 12.53/8.57 tff(8339,plain,
% 12.53/8.57 ((~(v130(constB17, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB17, bitIndex2)) | b011(bitIndex2)),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8340,plain,
% 12.53/8.57 ((~(v130(constB17, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB17, bitIndex2))),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8339, 1844])).
% 12.53/8.57 tff(8341,plain,
% 12.53/8.57 (~v130(constB17, bitIndex2)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8340, 8338])).
% 12.53/8.57 tff(8342,plain,
% 12.53/8.57 ((~(v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2))) | (~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8343,plain,
% 12.53/8.57 (~v127(constB17, bitIndex2)),
% 12.53/8.57 inference(unit_resolution,[status(thm)],[8342, 8341, 8329])).
% 12.53/8.57 tff(8344,plain,
% 12.53/8.57 ((~(v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2))) | (~v129(constB18, bitIndex2)) | v127(constB17, bitIndex2)),
% 12.53/8.57 inference(tautology,[status(thm)],[])).
% 12.53/8.57 tff(8345,plain,
% 12.53/8.57 (~v129(constB18, bitIndex2)),
% 12.53/8.58 inference(unit_resolution,[status(thm)],[8344, 8343, 8321])).
% 12.53/8.58 tff(8346,plain,
% 12.53/8.58 ((~(v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2)),
% 12.53/8.58 inference(tautology,[status(thm)],[])).
% 12.53/8.58 tff(8347,plain,
% 12.53/8.58 (~v90(constB18, bitIndex2)),
% 12.53/8.58 inference(unit_resolution,[status(thm)],[8346, 8345, 8313])).
% 12.53/8.58 tff(8348,plain,
% 12.53/8.58 ((~(v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2))) | (~v90(constB19, bitIndex2)) | v90(constB18, bitIndex2)),
% 12.53/8.58 inference(tautology,[status(thm)],[])).
% 12.53/8.58 tff(8349,plain,
% 12.53/8.58 (~v90(constB19, bitIndex2)),
% 12.53/8.58 inference(unit_resolution,[status(thm)],[8348, 8347, 7634])).
% 12.53/8.58 tff(8350,plain,
% 12.53/8.58 (((~![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)))),
% 12.53/8.58 inference(rewrite,[status(thm)],[])).
% 12.53/8.58 tff(8351,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))),
% 12.53/8.58 inference(quant_inst,[status(thm)],[])).
% 12.53/8.58 tff(8352,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0))),
% 12.53/8.58 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 12.53/8.58 tff(8353,plain,
% 12.53/8.58 (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)),
% 12.53/8.58 inference(unit_resolution,[status(thm)],[8352, 1275, 7630])).
% 12.53/8.58 tff(8354,plain,
% 12.53/8.58 (((~![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)))),
% 12.53/8.58 inference(rewrite,[status(thm)],[])).
% 12.53/8.58 tff(8355,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))),
% 12.53/8.58 inference(quant_inst,[status(thm)],[])).
% 12.53/8.58 tff(8356,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0))),
% 12.53/8.58 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 12.53/8.58 tff(8357,plain,
% 12.53/8.58 (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)),
% 12.53/8.58 inference(unit_resolution,[status(thm)],[8356, 1275, 8309])).
% 12.53/8.58 tff(8358,plain,
% 12.53/8.58 (((~![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)))),
% 12.53/8.58 inference(rewrite,[status(thm)],[])).
% 12.53/8.58 tff(8359,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))),
% 12.53/8.58 inference(quant_inst,[status(thm)],[])).
% 12.53/8.58 tff(8360,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0))),
% 12.53/8.58 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 12.53/8.58 tff(8361,plain,
% 12.53/8.58 (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)),
% 12.53/8.58 inference(unit_resolution,[status(thm)],[8360, 1275, 8317])).
% 12.53/8.58 tff(8362,plain,
% 12.53/8.58 (((~![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)))),
% 12.53/8.58 inference(rewrite,[status(thm)],[])).
% 12.53/8.58 tff(8363,plain,
% 12.53/8.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8364,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 12.57/8.58 tff(8365,plain,
% 12.57/8.58 (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8364, 1275, 8325])).
% 12.57/8.58 tff(8366,plain,
% 12.57/8.58 (((~![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)))),
% 12.57/8.58 inference(rewrite,[status(thm)],[])).
% 12.57/8.58 tff(8367,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b011(bitIndex0)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8368,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b011(bitIndex0))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8367, 8366])).
% 12.57/8.58 tff(8369,plain,
% 12.57/8.58 (v130(constB17, bitIndex0) <=> b011(bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8368, 1275, 8334])).
% 12.57/8.58 tff(8370,plain,
% 12.57/8.58 ((~(v130(constB17, bitIndex0) <=> b011(bitIndex0))) | v130(constB17, bitIndex0) | (~b011(bitIndex0))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8371,plain,
% 12.57/8.58 ((~(v130(constB17, bitIndex0) <=> b011(bitIndex0))) | v130(constB17, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8370, 1878])).
% 12.57/8.58 tff(8372,plain,
% 12.57/8.58 (v130(constB17, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8371, 8369])).
% 12.57/8.58 tff(8373,plain,
% 12.57/8.58 ((~(v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0))) | v127(constB17, bitIndex0) | (~v130(constB17, bitIndex0))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8374,plain,
% 12.57/8.58 (v127(constB17, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8373, 8372, 8365])).
% 12.57/8.58 tff(8375,plain,
% 12.57/8.58 ((~(v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0))) | v129(constB18, bitIndex0) | (~v127(constB17, bitIndex0))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8376,plain,
% 12.57/8.58 (v129(constB18, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8375, 8374, 8361])).
% 12.57/8.58 tff(8377,plain,
% 12.57/8.58 ((~(v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8378,plain,
% 12.57/8.58 (v90(constB18, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8377, 8376, 8357])).
% 12.57/8.58 tff(8379,plain,
% 12.57/8.58 ((~(v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0))) | v90(constB19, bitIndex0) | (~v90(constB18, bitIndex0))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8380,plain,
% 12.57/8.58 (v90(constB19, bitIndex0)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8379, 8378, 8353])).
% 12.57/8.58 tff(8381,plain,
% 12.57/8.58 (((~![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)))),
% 12.57/8.58 inference(rewrite,[status(thm)],[])).
% 12.57/8.58 tff(8382,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8383,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 12.57/8.58 tff(8384,plain,
% 12.57/8.58 (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8383, 1288, 7630])).
% 12.57/8.58 tff(8385,plain,
% 12.57/8.58 (((~![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)))),
% 12.57/8.58 inference(rewrite,[status(thm)],[])).
% 12.57/8.58 tff(8386,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8387,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8386, 8385])).
% 12.57/8.58 tff(8388,plain,
% 12.57/8.58 (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8387, 1288, 8309])).
% 12.57/8.58 tff(8389,plain,
% 12.57/8.58 (((~![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)))),
% 12.57/8.58 inference(rewrite,[status(thm)],[])).
% 12.57/8.58 tff(8390,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8391,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 12.57/8.58 tff(8392,plain,
% 12.57/8.58 (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8391, 1288, 8317])).
% 12.57/8.58 tff(8393,plain,
% 12.57/8.58 (((~![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)))),
% 12.57/8.58 inference(rewrite,[status(thm)],[])).
% 12.57/8.58 tff(8394,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8395,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 12.57/8.58 tff(8396,plain,
% 12.57/8.58 (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8395, 1288, 8325])).
% 12.57/8.58 tff(8397,plain,
% 12.57/8.58 (((~![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)))),
% 12.57/8.58 inference(rewrite,[status(thm)],[])).
% 12.57/8.58 tff(8398,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b011(bitIndex1)))),
% 12.57/8.58 inference(quant_inst,[status(thm)],[])).
% 12.57/8.58 tff(8399,plain,
% 12.57/8.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b011(bitIndex1))),
% 12.57/8.58 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 12.57/8.58 tff(8400,plain,
% 12.57/8.58 (v130(constB17, bitIndex1) <=> b011(bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8399, 1288, 8334])).
% 12.57/8.58 tff(8401,plain,
% 12.57/8.58 ((~(v130(constB17, bitIndex1) <=> b011(bitIndex1))) | v130(constB17, bitIndex1) | (~b011(bitIndex1))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8402,plain,
% 12.57/8.58 ((~(v130(constB17, bitIndex1) <=> b011(bitIndex1))) | v130(constB17, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8401, 1912])).
% 12.57/8.58 tff(8403,plain,
% 12.57/8.58 (v130(constB17, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8402, 8400])).
% 12.57/8.58 tff(8404,plain,
% 12.57/8.58 ((~(v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1))) | v127(constB17, bitIndex1) | (~v130(constB17, bitIndex1))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8405,plain,
% 12.57/8.58 (v127(constB17, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8404, 8403, 8396])).
% 12.57/8.58 tff(8406,plain,
% 12.57/8.58 ((~(v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1))) | v129(constB18, bitIndex1) | (~v127(constB17, bitIndex1))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8407,plain,
% 12.57/8.58 (v129(constB18, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8406, 8405, 8392])).
% 12.57/8.58 tff(8408,plain,
% 12.57/8.58 ((~(v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8409,plain,
% 12.57/8.58 (v90(constB18, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8408, 8407, 8388])).
% 12.57/8.58 tff(8410,plain,
% 12.57/8.58 ((~(v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1))) | v90(constB19, bitIndex1) | (~v90(constB18, bitIndex1))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8411,plain,
% 12.57/8.58 (v90(constB19, bitIndex1)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8410, 8409, 8384])).
% 12.57/8.58 tff(8412,plain,
% 12.57/8.58 ((~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8413,plain,
% 12.57/8.58 (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8412, 8411, 8380, 8349])).
% 12.57/8.58 tff(8414,plain,
% 12.57/8.58 ((~(v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))) | v122(constB19) | (v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8415,plain,
% 12.57/8.58 (v122(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8414, 8413, 7602])).
% 12.57/8.58 tff(8416,plain,
% 12.57/8.58 ((v117(constB19) | v122(constB19)) | (~v122(constB19))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8417,plain,
% 12.57/8.58 (v117(constB19) | v122(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8416, 8415])).
% 12.57/8.58 tff(8418,plain,
% 12.57/8.58 ((~(v116(constB19) <=> (v117(constB19) | v122(constB19)))) | v116(constB19) | (~(v117(constB19) | v122(constB19)))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8419,plain,
% 12.57/8.58 (v116(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8418, 8417, 7595])).
% 12.57/8.58 tff(8420,plain,
% 12.57/8.58 ((v116(constB19) | v123(constB19)) | (~v116(constB19))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8421,plain,
% 12.57/8.58 (v116(constB19) | v123(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8420, 8419])).
% 12.57/8.58 tff(8422,plain,
% 12.57/8.58 ((~(v115(constB19) <=> (v116(constB19) | v123(constB19)))) | v115(constB19) | (~(v116(constB19) | v123(constB19)))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8423,plain,
% 12.57/8.58 (v115(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8422, 8421, 7593])).
% 12.57/8.58 tff(8424,plain,
% 12.57/8.58 ((v115(constB19) | v124(constB19)) | (~v115(constB19))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8425,plain,
% 12.57/8.58 (v115(constB19) | v124(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8424, 8423])).
% 12.57/8.58 tff(8426,plain,
% 12.57/8.58 ((~(v114(constB19) <=> (v115(constB19) | v124(constB19)))) | v114(constB19) | (~(v115(constB19) | v124(constB19)))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8427,plain,
% 12.57/8.58 (v114(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8426, 8425, 7591])).
% 12.57/8.58 tff(8428,plain,
% 12.57/8.58 ((v114(constB19) | v125(constB19)) | (~v114(constB19))),
% 12.57/8.58 inference(tautology,[status(thm)],[])).
% 12.57/8.58 tff(8429,plain,
% 12.57/8.58 (v114(constB19) | v125(constB19)),
% 12.57/8.58 inference(unit_resolution,[status(thm)],[8428, 8427])).
% 12.57/8.58 tff(8430,plain,
% 12.57/8.58 ((~(v113(constB19) <=> (v114(constB19) | v125(constB19)))) | v113(constB19) | (~(v114(constB19) | v125(constB19)))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8431,plain,
% 12.57/8.59 (v113(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8430, 8429, 7589])).
% 12.57/8.59 tff(8432,plain,
% 12.57/8.59 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB19)) <=> v111(constB19))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8433,plain,
% 12.57/8.59 ((~v126(constB19)) <=> v111(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8432, 1345])).
% 12.57/8.59 tff(8434,plain,
% 12.57/8.59 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8435,plain,
% 12.57/8.59 (v111(constB19) <=> v26(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8434, 1357])).
% 12.57/8.59 tff(8436,plain,
% 12.57/8.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8437,plain,
% 12.57/8.59 (~v26(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8436, 1369])).
% 12.57/8.59 tff(8438,plain,
% 12.57/8.59 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8439,plain,
% 12.57/8.59 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8438, 8437])).
% 12.57/8.59 tff(8440,plain,
% 12.57/8.59 (~v111(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8439, 8435])).
% 12.57/8.59 tff(8441,plain,
% 12.57/8.59 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19) | v111(constB19)),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8442,plain,
% 12.57/8.59 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8441, 8440])).
% 12.57/8.59 tff(8443,plain,
% 12.57/8.59 (v126(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8442, 8433])).
% 12.57/8.59 tff(8444,plain,
% 12.57/8.59 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19)) | (~v126(constB19))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8445,plain,
% 12.57/8.59 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8444, 8443])).
% 12.57/8.59 tff(8446,plain,
% 12.57/8.59 (~((~v113(constB19)) | (~v126(constB19)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8445, 8431])).
% 12.57/8.59 tff(8447,plain,
% 12.57/8.59 ((~(v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))) | v112(constB19) | ((~v113(constB19)) | (~v126(constB19)))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8448,plain,
% 12.57/8.59 (v112(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8447, 8446, 7587])).
% 12.57/8.59 tff(8449,plain,
% 12.57/8.59 ((v111(constB19) | v112(constB19)) | (~v112(constB19))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8450,plain,
% 12.57/8.59 (v111(constB19) | v112(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8449, 8448])).
% 12.57/8.59 tff(8451,plain,
% 12.57/8.59 ((~(v108(constB19) <=> (v111(constB19) | v112(constB19)))) | v108(constB19) | (~(v111(constB19) | v112(constB19)))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8452,plain,
% 12.57/8.59 (v108(constB19)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8451, 8450, 7585])).
% 12.57/8.59 tff(8453,plain,
% 12.57/8.59 ((~(v110(constB20) <=> v108(constB19))) | v110(constB20) | (~v108(constB19))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8454,plain,
% 12.57/8.59 (v110(constB20)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8453, 8452, 7583])).
% 12.57/8.59 tff(8455,plain,
% 12.57/8.59 ((~((~v101(constB20)) | (~v110(constB20)))) | (~v101(constB20)) | (~v110(constB20))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8456,plain,
% 12.57/8.59 (~((~v101(constB20)) | (~v110(constB20)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8455, 8454, 7579])).
% 12.57/8.59 tff(8457,plain,
% 12.57/8.59 ((~(v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))) | v100(constB20) | ((~v101(constB20)) | (~v110(constB20)))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8458,plain,
% 12.57/8.59 (v100(constB20)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8457, 8456, 7548])).
% 12.57/8.59 tff(8459,plain,
% 12.57/8.59 (((~![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))))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8460,plain,
% 12.57/8.59 ((~![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))))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8461,plain,
% 12.57/8.59 ((~![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)))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 12.57/8.59 tff(8462,plain,
% 12.57/8.59 ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8461, 1405])).
% 12.57/8.59 tff(8463,plain,
% 12.57/8.59 (![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8462, 8458])).
% 12.57/8.59 tff(8464,plain,
% 12.57/8.59 (((~![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)))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8465,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8466,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 12.57/8.59 tff(8467,plain,
% 12.57/8.59 (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8466, 579, 8463])).
% 12.57/8.59 tff(8468,plain,
% 12.57/8.59 (((~![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))))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8469,plain,
% 12.57/8.59 ((~![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))))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8470,plain,
% 12.57/8.59 ((~![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)))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8469, 8468])).
% 12.57/8.59 tff(8471,plain,
% 12.57/8.59 (![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8470, 7544, 1427])).
% 12.57/8.59 tff(8472,plain,
% 12.57/8.59 (((~![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)))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8473,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8474,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8473, 8472])).
% 12.57/8.59 tff(8475,plain,
% 12.57/8.59 (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8474, 579, 8471])).
% 12.57/8.59 tff(8476,plain,
% 12.57/8.59 (((~![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))))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8477,plain,
% 12.57/8.59 ((~![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))))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8478,plain,
% 12.57/8.59 ((~![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)))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8477, 8476])).
% 12.57/8.59 tff(8479,plain,
% 12.57/8.59 (![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8478, 1448, 8440])).
% 12.57/8.59 tff(8480,plain,
% 12.57/8.59 (((~![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)))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8481,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8482,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8481, 8480])).
% 12.57/8.59 tff(8483,plain,
% 12.57/8.59 (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8482, 579, 8479])).
% 12.57/8.59 tff(8484,plain,
% 12.57/8.59 (((~![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))))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8485,plain,
% 12.57/8.59 ((~![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))))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8486,plain,
% 12.57/8.59 ((~![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)))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8485, 8484])).
% 12.57/8.59 tff(8487,plain,
% 12.57/8.59 ((~v122(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8486, 2008])).
% 12.57/8.59 tff(8488,plain,
% 12.57/8.59 (![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8487, 8415])).
% 12.57/8.59 tff(8489,plain,
% 12.57/8.59 (((~![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)))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8490,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b100(bitIndex2)))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8491,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b100(bitIndex2))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 12.57/8.59 tff(8492,plain,
% 12.57/8.59 (v130(constB19, bitIndex2) <=> b100(bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8491, 579, 8488])).
% 12.57/8.59 tff(8493,plain,
% 12.57/8.59 ((~(v130(constB19, bitIndex2) <=> b100(bitIndex2))) | v130(constB19, bitIndex2) | (~b100(bitIndex2))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8494,plain,
% 12.57/8.59 ((~(v130(constB19, bitIndex2) <=> b100(bitIndex2))) | v130(constB19, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8493, 2020])).
% 12.57/8.59 tff(8495,plain,
% 12.57/8.59 (v130(constB19, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8494, 8492])).
% 12.57/8.59 tff(8496,plain,
% 12.57/8.59 ((~(v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2))) | v127(constB19, bitIndex2) | (~v130(constB19, bitIndex2))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8497,plain,
% 12.57/8.59 (v127(constB19, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8496, 8495, 8483])).
% 12.57/8.59 tff(8498,plain,
% 12.57/8.59 ((~(v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2))) | v129(constB20, bitIndex2) | (~v127(constB19, bitIndex2))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8499,plain,
% 12.57/8.59 (v129(constB20, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8498, 8497, 8475])).
% 12.57/8.59 tff(8500,plain,
% 12.57/8.59 ((~(v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8501,plain,
% 12.57/8.59 (v90(constB20, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8500, 8499, 8467])).
% 12.57/8.59 tff(8502,plain,
% 12.57/8.59 ((~(v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2))) | v90(constB21, bitIndex2) | (~v90(constB20, bitIndex2))),
% 12.57/8.59 inference(tautology,[status(thm)],[])).
% 12.57/8.59 tff(8503,plain,
% 12.57/8.59 (v90(constB21, bitIndex2)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8502, 8501, 7541])).
% 12.57/8.59 tff(8504,plain,
% 12.57/8.59 (((~![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)))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8505,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8506,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 12.57/8.59 tff(8507,plain,
% 12.57/8.59 (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8506, 1275, 7537])).
% 12.57/8.59 tff(8508,plain,
% 12.57/8.59 (((~![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)))),
% 12.57/8.59 inference(rewrite,[status(thm)],[])).
% 12.57/8.59 tff(8509,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))),
% 12.57/8.59 inference(quant_inst,[status(thm)],[])).
% 12.57/8.59 tff(8510,plain,
% 12.57/8.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0))),
% 12.57/8.59 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 12.57/8.59 tff(8511,plain,
% 12.57/8.59 (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)),
% 12.57/8.59 inference(unit_resolution,[status(thm)],[8510, 1275, 8463])).
% 12.57/8.59 tff(8512,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8513,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8514,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 12.57/8.60 tff(8515,plain,
% 12.57/8.60 (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8514, 1275, 8471])).
% 12.57/8.60 tff(8516,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8517,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8518,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 12.57/8.60 tff(8519,plain,
% 12.57/8.60 (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8518, 1275, 8479])).
% 12.57/8.60 tff(8520,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8521,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b100(bitIndex0)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8522,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b100(bitIndex0))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 12.57/8.60 tff(8523,plain,
% 12.57/8.60 (v130(constB19, bitIndex0) <=> b100(bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8522, 1275, 8488])).
% 12.57/8.60 tff(8524,plain,
% 12.57/8.60 ((~(v130(constB19, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB19, bitIndex0)) | b100(bitIndex0)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8525,plain,
% 12.57/8.60 ((~(v130(constB19, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB19, bitIndex0))),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8524, 2054])).
% 12.57/8.60 tff(8526,plain,
% 12.57/8.60 (~v130(constB19, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8525, 8523])).
% 12.57/8.60 tff(8527,plain,
% 12.57/8.60 ((~(v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0))) | (~v127(constB19, bitIndex0)) | v130(constB19, bitIndex0)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8528,plain,
% 12.57/8.60 (~v127(constB19, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8527, 8526, 8519])).
% 12.57/8.60 tff(8529,plain,
% 12.57/8.60 ((~(v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0))) | (~v129(constB20, bitIndex0)) | v127(constB19, bitIndex0)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8530,plain,
% 12.57/8.60 (~v129(constB20, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8529, 8528, 8515])).
% 12.57/8.60 tff(8531,plain,
% 12.57/8.60 ((~(v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8532,plain,
% 12.57/8.60 (~v90(constB20, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8531, 8530, 8511])).
% 12.57/8.60 tff(8533,plain,
% 12.57/8.60 ((~(v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0))) | (~v90(constB21, bitIndex0)) | v90(constB20, bitIndex0)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8534,plain,
% 12.57/8.60 (~v90(constB21, bitIndex0)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8533, 8532, 8507])).
% 12.57/8.60 tff(8535,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8536,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8537,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 12.57/8.60 tff(8538,plain,
% 12.57/8.60 (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8537, 1288, 7537])).
% 12.57/8.60 tff(8539,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8540,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8541,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 12.57/8.60 tff(8542,plain,
% 12.57/8.60 (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8541, 1288, 8463])).
% 12.57/8.60 tff(8543,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8544,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8545,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 12.57/8.60 tff(8546,plain,
% 12.57/8.60 (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8545, 1288, 8471])).
% 12.57/8.60 tff(8547,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8548,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8549,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 12.57/8.60 tff(8550,plain,
% 12.57/8.60 (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8549, 1288, 8479])).
% 12.57/8.60 tff(8551,plain,
% 12.57/8.60 (((~![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)))),
% 12.57/8.60 inference(rewrite,[status(thm)],[])).
% 12.57/8.60 tff(8552,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b100(bitIndex1)))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8553,plain,
% 12.57/8.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b100(bitIndex1))),
% 12.57/8.60 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 12.57/8.60 tff(8554,plain,
% 12.57/8.60 (v130(constB19, bitIndex1) <=> b100(bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8553, 1288, 8488])).
% 12.57/8.60 tff(8555,plain,
% 12.57/8.60 ((~(v130(constB19, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB19, bitIndex1)) | b100(bitIndex1)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8556,plain,
% 12.57/8.60 ((~(v130(constB19, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB19, bitIndex1))),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8555, 2088])).
% 12.57/8.60 tff(8557,plain,
% 12.57/8.60 (~v130(constB19, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8556, 8554])).
% 12.57/8.60 tff(8558,plain,
% 12.57/8.60 ((~(v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1))) | (~v127(constB19, bitIndex1)) | v130(constB19, bitIndex1)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8559,plain,
% 12.57/8.60 (~v127(constB19, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8558, 8557, 8550])).
% 12.57/8.60 tff(8560,plain,
% 12.57/8.60 ((~(v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1))) | (~v129(constB20, bitIndex1)) | v127(constB19, bitIndex1)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8561,plain,
% 12.57/8.60 (~v129(constB20, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8560, 8559, 8546])).
% 12.57/8.60 tff(8562,plain,
% 12.57/8.60 ((~(v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8563,plain,
% 12.57/8.60 (~v90(constB20, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8562, 8561, 8542])).
% 12.57/8.60 tff(8564,plain,
% 12.57/8.60 ((~(v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1))) | (~v90(constB21, bitIndex1)) | v90(constB20, bitIndex1)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8565,plain,
% 12.57/8.60 (~v90(constB21, bitIndex1)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8564, 8563, 8538])).
% 12.57/8.60 tff(8566,plain,
% 12.57/8.60 ((~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))) | (~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8567,plain,
% 12.57/8.60 (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8566, 8565, 8534, 8503])).
% 12.57/8.60 tff(8568,plain,
% 12.57/8.60 ((~(v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))) | v123(constB21) | ((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8569,plain,
% 12.57/8.60 (v123(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8568, 8567, 7509])).
% 12.57/8.60 tff(8570,plain,
% 12.57/8.60 ((v116(constB21) | v123(constB21)) | (~v123(constB21))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8571,plain,
% 12.57/8.60 (v116(constB21) | v123(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8570, 8569])).
% 12.57/8.60 tff(8572,plain,
% 12.57/8.60 ((~(v115(constB21) <=> (v116(constB21) | v123(constB21)))) | v115(constB21) | (~(v116(constB21) | v123(constB21)))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8573,plain,
% 12.57/8.60 (v115(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8572, 8571, 7502])).
% 12.57/8.60 tff(8574,plain,
% 12.57/8.60 ((v115(constB21) | v124(constB21)) | (~v115(constB21))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8575,plain,
% 12.57/8.60 (v115(constB21) | v124(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8574, 8573])).
% 12.57/8.60 tff(8576,plain,
% 12.57/8.60 ((~(v114(constB21) <=> (v115(constB21) | v124(constB21)))) | v114(constB21) | (~(v115(constB21) | v124(constB21)))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8577,plain,
% 12.57/8.60 (v114(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8576, 8575, 7500])).
% 12.57/8.60 tff(8578,plain,
% 12.57/8.60 ((v114(constB21) | v125(constB21)) | (~v114(constB21))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8579,plain,
% 12.57/8.60 (v114(constB21) | v125(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8578, 8577])).
% 12.57/8.60 tff(8580,plain,
% 12.57/8.60 ((~(v113(constB21) <=> (v114(constB21) | v125(constB21)))) | v113(constB21) | (~(v114(constB21) | v125(constB21)))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8581,plain,
% 12.57/8.60 (v113(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8580, 8579, 7498])).
% 12.57/8.60 tff(8582,plain,
% 12.57/8.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB21)) <=> v111(constB21))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8583,plain,
% 12.57/8.60 ((~v126(constB21)) <=> v111(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8582, 1345])).
% 12.57/8.60 tff(8584,plain,
% 12.57/8.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8585,plain,
% 12.57/8.60 (v111(constB21) <=> v26(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8584, 1357])).
% 12.57/8.60 tff(8586,plain,
% 12.57/8.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 12.57/8.60 inference(quant_inst,[status(thm)],[])).
% 12.57/8.60 tff(8587,plain,
% 12.57/8.60 (~v26(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8586, 1369])).
% 12.57/8.60 tff(8588,plain,
% 12.57/8.60 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8589,plain,
% 12.57/8.60 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8588, 8587])).
% 12.57/8.60 tff(8590,plain,
% 12.57/8.60 (~v111(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8589, 8585])).
% 12.57/8.60 tff(8591,plain,
% 12.57/8.60 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21) | v111(constB21)),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8592,plain,
% 12.57/8.60 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8591, 8590])).
% 12.57/8.60 tff(8593,plain,
% 12.57/8.60 (v126(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8592, 8583])).
% 12.57/8.60 tff(8594,plain,
% 12.57/8.60 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21)) | (~v126(constB21))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8595,plain,
% 12.57/8.60 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21))),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8594, 8593])).
% 12.57/8.60 tff(8596,plain,
% 12.57/8.60 (~((~v113(constB21)) | (~v126(constB21)))),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8595, 8581])).
% 12.57/8.60 tff(8597,plain,
% 12.57/8.60 ((~(v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))) | v112(constB21) | ((~v113(constB21)) | (~v126(constB21)))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8598,plain,
% 12.57/8.60 (v112(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8597, 8596, 7496])).
% 12.57/8.60 tff(8599,plain,
% 12.57/8.60 ((v111(constB21) | v112(constB21)) | (~v112(constB21))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8600,plain,
% 12.57/8.60 (v111(constB21) | v112(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8599, 8598])).
% 12.57/8.60 tff(8601,plain,
% 12.57/8.60 ((~(v108(constB21) <=> (v111(constB21) | v112(constB21)))) | v108(constB21) | (~(v111(constB21) | v112(constB21)))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8602,plain,
% 12.57/8.60 (v108(constB21)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8601, 8600, 7494])).
% 12.57/8.60 tff(8603,plain,
% 12.57/8.60 ((~(v110(constB22) <=> v108(constB21))) | v110(constB22) | (~v108(constB21))),
% 12.57/8.60 inference(tautology,[status(thm)],[])).
% 12.57/8.60 tff(8604,plain,
% 12.57/8.60 (v110(constB22)),
% 12.57/8.60 inference(unit_resolution,[status(thm)],[8603, 8602, 7492])).
% 12.57/8.61 tff(8605,plain,
% 12.57/8.61 ((~((~v101(constB22)) | (~v110(constB22)))) | (~v101(constB22)) | (~v110(constB22))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8606,plain,
% 12.57/8.61 (~((~v101(constB22)) | (~v110(constB22)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8605, 8604, 7488])).
% 12.57/8.61 tff(8607,plain,
% 12.57/8.61 ((~(v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))) | v100(constB22) | ((~v101(constB22)) | (~v110(constB22)))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8608,plain,
% 12.57/8.61 (v100(constB22)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8607, 8606, 7457])).
% 12.57/8.61 tff(8609,plain,
% 12.57/8.61 (((~![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))))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8610,plain,
% 12.57/8.61 ((~![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))))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8611,plain,
% 12.57/8.61 ((~![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)))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 12.57/8.61 tff(8612,plain,
% 12.57/8.61 ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8611, 1405])).
% 12.57/8.61 tff(8613,plain,
% 12.57/8.61 (![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8612, 8608])).
% 12.57/8.61 tff(8614,plain,
% 12.57/8.61 (((~![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)))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8615,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8616,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 12.57/8.61 tff(8617,plain,
% 12.57/8.61 (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8616, 579, 8613])).
% 12.57/8.61 tff(8618,plain,
% 12.57/8.61 (((~![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))))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8619,plain,
% 12.57/8.61 ((~![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))))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8620,plain,
% 12.57/8.61 ((~![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)))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 12.57/8.61 tff(8621,plain,
% 12.57/8.61 (![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8620, 7453, 1427])).
% 12.57/8.61 tff(8622,plain,
% 12.57/8.61 (((~![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)))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8623,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8624,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 12.57/8.61 tff(8625,plain,
% 12.57/8.61 (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8624, 579, 8621])).
% 12.57/8.61 tff(8626,plain,
% 12.57/8.61 (((~![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))))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8627,plain,
% 12.57/8.61 ((~![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))))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8628,plain,
% 12.57/8.61 ((~![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)))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 12.57/8.61 tff(8629,plain,
% 12.57/8.61 (![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8628, 1448, 8590])).
% 12.57/8.61 tff(8630,plain,
% 12.57/8.61 (((~![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)))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8631,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8632,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8631, 8630])).
% 12.57/8.61 tff(8633,plain,
% 12.57/8.61 (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8632, 579, 8629])).
% 12.57/8.61 tff(8634,plain,
% 12.57/8.61 (((~![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))))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8635,plain,
% 12.57/8.61 ((~![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))))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8636,plain,
% 12.57/8.61 ((~![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)))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 12.57/8.61 tff(8637,plain,
% 12.57/8.61 ((~v123(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8636, 2180])).
% 12.57/8.61 tff(8638,plain,
% 12.57/8.61 (![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8637, 8569])).
% 12.57/8.61 tff(8639,plain,
% 12.57/8.61 (((~![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)))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8640,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b101(bitIndex2)))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8641,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b101(bitIndex2))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 12.57/8.61 tff(8642,plain,
% 12.57/8.61 (v130(constB21, bitIndex2) <=> b101(bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8641, 579, 8638])).
% 12.57/8.61 tff(8643,plain,
% 12.57/8.61 ((~(v130(constB21, bitIndex2) <=> b101(bitIndex2))) | v130(constB21, bitIndex2) | (~b101(bitIndex2))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8644,plain,
% 12.57/8.61 ((~(v130(constB21, bitIndex2) <=> b101(bitIndex2))) | v130(constB21, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8643, 2192])).
% 12.57/8.61 tff(8645,plain,
% 12.57/8.61 (v130(constB21, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8644, 8642])).
% 12.57/8.61 tff(8646,plain,
% 12.57/8.61 ((~(v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2))) | v127(constB21, bitIndex2) | (~v130(constB21, bitIndex2))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8647,plain,
% 12.57/8.61 (v127(constB21, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8646, 8645, 8633])).
% 12.57/8.61 tff(8648,plain,
% 12.57/8.61 ((~(v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2))) | v129(constB22, bitIndex2) | (~v127(constB21, bitIndex2))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8649,plain,
% 12.57/8.61 (v129(constB22, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8648, 8647, 8625])).
% 12.57/8.61 tff(8650,plain,
% 12.57/8.61 ((~(v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8651,plain,
% 12.57/8.61 (v90(constB22, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8650, 8649, 8617])).
% 12.57/8.61 tff(8652,plain,
% 12.57/8.61 ((~(v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2))) | v90(constB23, bitIndex2) | (~v90(constB22, bitIndex2))),
% 12.57/8.61 inference(tautology,[status(thm)],[])).
% 12.57/8.61 tff(8653,plain,
% 12.57/8.61 (v90(constB23, bitIndex2)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8652, 8651, 7450])).
% 12.57/8.61 tff(8654,plain,
% 12.57/8.61 (((~![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)))),
% 12.57/8.61 inference(rewrite,[status(thm)],[])).
% 12.57/8.61 tff(8655,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))),
% 12.57/8.61 inference(quant_inst,[status(thm)],[])).
% 12.57/8.61 tff(8656,plain,
% 12.57/8.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0))),
% 12.57/8.61 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 12.57/8.61 tff(8657,plain,
% 12.57/8.61 (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)),
% 12.57/8.61 inference(unit_resolution,[status(thm)],[8656, 1275, 7446])).
% 12.57/8.61 tff(8658,plain,
% 12.57/8.61 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8659,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8660,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 12.57/8.62 tff(8661,plain,
% 12.57/8.62 (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8660, 1275, 8613])).
% 12.57/8.62 tff(8662,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8663,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8664,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 12.57/8.62 tff(8665,plain,
% 12.57/8.62 (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8664, 1275, 8621])).
% 12.57/8.62 tff(8666,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8667,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8668,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 12.57/8.62 tff(8669,plain,
% 12.57/8.62 (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8668, 1275, 8629])).
% 12.57/8.62 tff(8670,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8671,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b101(bitIndex0)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8672,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b101(bitIndex0))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8671, 8670])).
% 12.57/8.62 tff(8673,plain,
% 12.57/8.62 (v130(constB21, bitIndex0) <=> b101(bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8672, 1275, 8638])).
% 12.57/8.62 tff(8674,plain,
% 12.57/8.62 ((~(v130(constB21, bitIndex0) <=> b101(bitIndex0))) | v130(constB21, bitIndex0) | (~b101(bitIndex0))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8675,plain,
% 12.57/8.62 ((~(v130(constB21, bitIndex0) <=> b101(bitIndex0))) | v130(constB21, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8674, 2351])).
% 12.57/8.62 tff(8676,plain,
% 12.57/8.62 (v130(constB21, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8675, 8673])).
% 12.57/8.62 tff(8677,plain,
% 12.57/8.62 ((~(v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0))) | v127(constB21, bitIndex0) | (~v130(constB21, bitIndex0))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8678,plain,
% 12.57/8.62 (v127(constB21, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8677, 8676, 8669])).
% 12.57/8.62 tff(8679,plain,
% 12.57/8.62 ((~(v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0))) | v129(constB22, bitIndex0) | (~v127(constB21, bitIndex0))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8680,plain,
% 12.57/8.62 (v129(constB22, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8679, 8678, 8665])).
% 12.57/8.62 tff(8681,plain,
% 12.57/8.62 ((~(v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8682,plain,
% 12.57/8.62 (v90(constB22, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8681, 8680, 8661])).
% 12.57/8.62 tff(8683,plain,
% 12.57/8.62 ((~(v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0))) | v90(constB23, bitIndex0) | (~v90(constB22, bitIndex0))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8684,plain,
% 12.57/8.62 (v90(constB23, bitIndex0)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8683, 8682, 8657])).
% 12.57/8.62 tff(8685,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8686,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8687,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 12.57/8.62 tff(8688,plain,
% 12.57/8.62 (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8687, 1288, 7446])).
% 12.57/8.62 tff(8689,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8690,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8691,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 12.57/8.62 tff(8692,plain,
% 12.57/8.62 (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8691, 1288, 8613])).
% 12.57/8.62 tff(8693,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8694,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8695,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 12.57/8.62 tff(8696,plain,
% 12.57/8.62 (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8695, 1288, 8621])).
% 12.57/8.62 tff(8697,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8698,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8699,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 12.57/8.62 tff(8700,plain,
% 12.57/8.62 (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8699, 1288, 8629])).
% 12.57/8.62 tff(8701,plain,
% 12.57/8.62 (((~![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)))),
% 12.57/8.62 inference(rewrite,[status(thm)],[])).
% 12.57/8.62 tff(8702,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b101(bitIndex1)))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8703,plain,
% 12.57/8.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b101(bitIndex1))),
% 12.57/8.62 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 12.57/8.62 tff(8704,plain,
% 12.57/8.62 (v130(constB21, bitIndex1) <=> b101(bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8703, 1288, 8638])).
% 12.57/8.62 tff(8705,plain,
% 12.57/8.62 ((~(v130(constB21, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB21, bitIndex1)) | b101(bitIndex1)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8706,plain,
% 12.57/8.62 ((~(v130(constB21, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB21, bitIndex1))),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8705, 2391])).
% 12.57/8.62 tff(8707,plain,
% 12.57/8.62 (~v130(constB21, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8706, 8704])).
% 12.57/8.62 tff(8708,plain,
% 12.57/8.62 ((~(v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1))) | (~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8709,plain,
% 12.57/8.62 (~v127(constB21, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8708, 8707, 8700])).
% 12.57/8.62 tff(8710,plain,
% 12.57/8.62 ((~(v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1))) | (~v129(constB22, bitIndex1)) | v127(constB21, bitIndex1)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8711,plain,
% 12.57/8.62 (~v129(constB22, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8710, 8709, 8696])).
% 12.57/8.62 tff(8712,plain,
% 12.57/8.62 ((~(v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8713,plain,
% 12.57/8.62 (~v90(constB22, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8712, 8711, 8692])).
% 12.57/8.62 tff(8714,plain,
% 12.57/8.62 ((~(v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1))) | (~v90(constB23, bitIndex1)) | v90(constB22, bitIndex1)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8715,plain,
% 12.57/8.62 (~v90(constB23, bitIndex1)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8714, 8713, 8688])).
% 12.57/8.62 tff(8716,plain,
% 12.57/8.62 ((~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))) | (~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8717,plain,
% 12.57/8.62 (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8716, 8715, 8684, 8653])).
% 12.57/8.62 tff(8718,plain,
% 12.57/8.62 ((~(v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))) | v124(constB23) | ((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8719,plain,
% 12.57/8.62 (v124(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8718, 8717, 7418])).
% 12.57/8.62 tff(8720,plain,
% 12.57/8.62 ((v115(constB23) | v124(constB23)) | (~v124(constB23))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8721,plain,
% 12.57/8.62 (v115(constB23) | v124(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8720, 8719])).
% 12.57/8.62 tff(8722,plain,
% 12.57/8.62 ((~(v114(constB23) <=> (v115(constB23) | v124(constB23)))) | v114(constB23) | (~(v115(constB23) | v124(constB23)))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8723,plain,
% 12.57/8.62 (v114(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8722, 8721, 7411])).
% 12.57/8.62 tff(8724,plain,
% 12.57/8.62 ((v114(constB23) | v125(constB23)) | (~v114(constB23))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8725,plain,
% 12.57/8.62 (v114(constB23) | v125(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8724, 8723])).
% 12.57/8.62 tff(8726,plain,
% 12.57/8.62 ((~(v113(constB23) <=> (v114(constB23) | v125(constB23)))) | v113(constB23) | (~(v114(constB23) | v125(constB23)))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8727,plain,
% 12.57/8.62 (v113(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8726, 8725, 7409])).
% 12.57/8.62 tff(8728,plain,
% 12.57/8.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB23)) <=> v111(constB23))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8729,plain,
% 12.57/8.62 ((~v126(constB23)) <=> v111(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8728, 1345])).
% 12.57/8.62 tff(8730,plain,
% 12.57/8.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8731,plain,
% 12.57/8.62 (v111(constB23) <=> v26(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8730, 1357])).
% 12.57/8.62 tff(8732,plain,
% 12.57/8.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 12.57/8.62 inference(quant_inst,[status(thm)],[])).
% 12.57/8.62 tff(8733,plain,
% 12.57/8.62 (~v26(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8732, 1369])).
% 12.57/8.62 tff(8734,plain,
% 12.57/8.62 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8735,plain,
% 12.57/8.62 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8734, 8733])).
% 12.57/8.62 tff(8736,plain,
% 12.57/8.62 (~v111(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8735, 8731])).
% 12.57/8.62 tff(8737,plain,
% 12.57/8.62 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23) | v111(constB23)),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8738,plain,
% 12.57/8.62 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8737, 8736])).
% 12.57/8.62 tff(8739,plain,
% 12.57/8.62 (v126(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8738, 8729])).
% 12.57/8.62 tff(8740,plain,
% 12.57/8.62 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23)) | (~v126(constB23))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8741,plain,
% 12.57/8.62 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23))),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8740, 8739])).
% 12.57/8.62 tff(8742,plain,
% 12.57/8.62 (~((~v113(constB23)) | (~v126(constB23)))),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8741, 8727])).
% 12.57/8.62 tff(8743,plain,
% 12.57/8.62 ((~(v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))) | v112(constB23) | ((~v113(constB23)) | (~v126(constB23)))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8744,plain,
% 12.57/8.62 (v112(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8743, 8742, 7407])).
% 12.57/8.62 tff(8745,plain,
% 12.57/8.62 ((v111(constB23) | v112(constB23)) | (~v112(constB23))),
% 12.57/8.62 inference(tautology,[status(thm)],[])).
% 12.57/8.62 tff(8746,plain,
% 12.57/8.62 (v111(constB23) | v112(constB23)),
% 12.57/8.62 inference(unit_resolution,[status(thm)],[8745, 8744])).
% 12.57/8.62 tff(8747,plain,
% 12.57/8.62 ((~(v108(constB23) <=> (v111(constB23) | v112(constB23)))) | v108(constB23) | (~(v111(constB23) | v112(constB23)))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8748,plain,
% 12.57/8.63 (v108(constB23)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8747, 8746, 7405])).
% 12.57/8.63 tff(8749,plain,
% 12.57/8.63 ((~(v110(constB24) <=> v108(constB23))) | v110(constB24) | (~v108(constB23))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8750,plain,
% 12.57/8.63 (v110(constB24)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8749, 8748, 7403])).
% 12.57/8.63 tff(8751,plain,
% 12.57/8.63 ((~((~v101(constB24)) | (~v110(constB24)))) | (~v101(constB24)) | (~v110(constB24))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8752,plain,
% 12.57/8.63 (~((~v101(constB24)) | (~v110(constB24)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8751, 8750, 7399])).
% 12.57/8.63 tff(8753,plain,
% 12.57/8.63 ((~(v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))) | v100(constB24) | ((~v101(constB24)) | (~v110(constB24)))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8754,plain,
% 12.57/8.63 (v100(constB24)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8753, 8752, 7368])).
% 12.57/8.63 tff(8755,plain,
% 12.57/8.63 (((~![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))))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8756,plain,
% 12.57/8.63 ((~![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))))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8757,plain,
% 12.57/8.63 ((~![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)))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 12.57/8.63 tff(8758,plain,
% 12.57/8.63 ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8757, 1405])).
% 12.57/8.63 tff(8759,plain,
% 12.57/8.63 (![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8758, 8754])).
% 12.57/8.63 tff(8760,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8761,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8762,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 12.57/8.63 tff(8763,plain,
% 12.57/8.63 (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8762, 579, 8759])).
% 12.57/8.63 tff(8764,plain,
% 12.57/8.63 (((~![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))))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8765,plain,
% 12.57/8.63 ((~![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))))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8766,plain,
% 12.57/8.63 ((~![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)))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 12.57/8.63 tff(8767,plain,
% 12.57/8.63 (![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8766, 7364, 1427])).
% 12.57/8.63 tff(8768,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8769,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8770,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 12.57/8.63 tff(8771,plain,
% 12.57/8.63 (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8770, 579, 8767])).
% 12.57/8.63 tff(8772,plain,
% 12.57/8.63 (((~![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))))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8773,plain,
% 12.57/8.63 ((~![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))))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8774,plain,
% 12.57/8.63 ((~![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)))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 12.57/8.63 tff(8775,plain,
% 12.57/8.63 (![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8774, 1448, 8736])).
% 12.57/8.63 tff(8776,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8777,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8778,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 12.57/8.63 tff(8779,plain,
% 12.57/8.63 (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8778, 579, 8775])).
% 12.57/8.63 tff(8780,plain,
% 12.57/8.63 (((~![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))))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8781,plain,
% 12.57/8.63 ((~![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))))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8782,plain,
% 12.57/8.63 ((~![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)))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8781, 8780])).
% 12.57/8.63 tff(8783,plain,
% 12.57/8.63 ((~v124(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8782, 2735])).
% 12.57/8.63 tff(8784,plain,
% 12.57/8.63 (![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8783, 8719])).
% 12.57/8.63 tff(8785,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8786,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8787,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8786, 8785])).
% 12.57/8.63 tff(8788,plain,
% 12.57/8.63 (v130(constB23, bitIndex2) <=> b110(bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8787, 579, 8784])).
% 12.57/8.63 tff(8789,plain,
% 12.57/8.63 ((~(v130(constB23, bitIndex2) <=> b110(bitIndex2))) | v130(constB23, bitIndex2) | (~b110(bitIndex2))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8790,plain,
% 12.57/8.63 ((~(v130(constB23, bitIndex2) <=> b110(bitIndex2))) | v130(constB23, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8789, 2747])).
% 12.57/8.63 tff(8791,plain,
% 12.57/8.63 (v130(constB23, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8790, 8788])).
% 12.57/8.63 tff(8792,plain,
% 12.57/8.63 ((~(v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2))) | v127(constB23, bitIndex2) | (~v130(constB23, bitIndex2))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8793,plain,
% 12.57/8.63 (v127(constB23, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8792, 8791, 8779])).
% 12.57/8.63 tff(8794,plain,
% 12.57/8.63 ((~(v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2))) | v129(constB24, bitIndex2) | (~v127(constB23, bitIndex2))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8795,plain,
% 12.57/8.63 (v129(constB24, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8794, 8793, 8771])).
% 12.57/8.63 tff(8796,plain,
% 12.57/8.63 ((~(v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8797,plain,
% 12.57/8.63 (v90(constB24, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8796, 8795, 8763])).
% 12.57/8.63 tff(8798,plain,
% 12.57/8.63 ((~(v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2))) | v90(constB25, bitIndex2) | (~v90(constB24, bitIndex2))),
% 12.57/8.63 inference(tautology,[status(thm)],[])).
% 12.57/8.63 tff(8799,plain,
% 12.57/8.63 (v90(constB25, bitIndex2)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8798, 8797, 7361])).
% 12.57/8.63 tff(8800,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8801,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8802,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 12.57/8.63 tff(8803,plain,
% 12.57/8.63 (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8802, 1275, 7357])).
% 12.57/8.63 tff(8804,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8805,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8806,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 12.57/8.63 tff(8807,plain,
% 12.57/8.63 (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8806, 1275, 8759])).
% 12.57/8.63 tff(8808,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8809,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8810,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 12.57/8.63 tff(8811,plain,
% 12.57/8.63 (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8810, 1275, 8767])).
% 12.57/8.63 tff(8812,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8813,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8814,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 12.57/8.63 tff(8815,plain,
% 12.57/8.63 (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)),
% 12.57/8.63 inference(unit_resolution,[status(thm)],[8814, 1275, 8775])).
% 12.57/8.63 tff(8816,plain,
% 12.57/8.63 (((~![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)))),
% 12.57/8.63 inference(rewrite,[status(thm)],[])).
% 12.57/8.63 tff(8817,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 12.57/8.63 inference(quant_inst,[status(thm)],[])).
% 12.57/8.63 tff(8818,plain,
% 12.57/8.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0))),
% 12.57/8.63 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 12.63/8.64 tff(8819,plain,
% 12.63/8.64 (v130(constB23, bitIndex0) <=> b110(bitIndex0)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8818, 1275, 8784])).
% 12.63/8.64 tff(8820,plain,
% 12.63/8.64 ((~(v130(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB23, bitIndex0)) | b110(bitIndex0)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8821,plain,
% 12.63/8.64 ((~(v130(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB23, bitIndex0))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8820, 2862])).
% 12.63/8.64 tff(8822,plain,
% 12.63/8.64 (~v130(constB23, bitIndex0)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8821, 8819])).
% 12.63/8.64 tff(8823,plain,
% 12.63/8.64 ((~(v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0))) | (~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8824,plain,
% 12.63/8.64 (~v127(constB23, bitIndex0)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8823, 8822, 8815])).
% 12.63/8.64 tff(8825,plain,
% 12.63/8.64 ((~(v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0))) | (~v129(constB24, bitIndex0)) | v127(constB23, bitIndex0)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8826,plain,
% 12.63/8.64 (~v129(constB24, bitIndex0)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8825, 8824, 8811])).
% 12.63/8.64 tff(8827,plain,
% 12.63/8.64 ((~(v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8828,plain,
% 12.63/8.64 (~v90(constB24, bitIndex0)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8827, 8826, 8807])).
% 12.63/8.64 tff(8829,plain,
% 12.63/8.64 ((~(v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0))) | (~v90(constB25, bitIndex0)) | v90(constB24, bitIndex0)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8830,plain,
% 12.63/8.64 (~v90(constB25, bitIndex0)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8829, 8828, 8803])).
% 12.63/8.64 tff(8831,plain,
% 12.63/8.64 (((~![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)))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8832,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8833,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8832, 8831])).
% 12.63/8.64 tff(8834,plain,
% 12.63/8.64 (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8833, 1288, 7357])).
% 12.63/8.64 tff(8835,plain,
% 12.63/8.64 (((~![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)))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8836,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8837,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 12.63/8.64 tff(8838,plain,
% 12.63/8.64 (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8837, 1288, 8759])).
% 12.63/8.64 tff(8839,plain,
% 12.63/8.64 (((~![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)))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8840,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8841,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 12.63/8.64 tff(8842,plain,
% 12.63/8.64 (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8841, 1288, 8767])).
% 12.63/8.64 tff(8843,plain,
% 12.63/8.64 (((~![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)))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8844,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8845,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 12.63/8.64 tff(8846,plain,
% 12.63/8.64 (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8845, 1288, 8775])).
% 12.63/8.64 tff(8847,plain,
% 12.63/8.64 (((~![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)))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8848,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8849,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 12.63/8.64 tff(8850,plain,
% 12.63/8.64 (v130(constB23, bitIndex1) <=> b110(bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8849, 1288, 8784])).
% 12.63/8.64 tff(8851,plain,
% 12.63/8.64 ((~(v130(constB23, bitIndex1) <=> b110(bitIndex1))) | v130(constB23, bitIndex1) | (~b110(bitIndex1))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8852,plain,
% 12.63/8.64 ((~(v130(constB23, bitIndex1) <=> b110(bitIndex1))) | v130(constB23, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8851, 2902])).
% 12.63/8.64 tff(8853,plain,
% 12.63/8.64 (v130(constB23, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8852, 8850])).
% 12.63/8.64 tff(8854,plain,
% 12.63/8.64 ((~(v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1))) | v127(constB23, bitIndex1) | (~v130(constB23, bitIndex1))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8855,plain,
% 12.63/8.64 (v127(constB23, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8854, 8853, 8846])).
% 12.63/8.64 tff(8856,plain,
% 12.63/8.64 ((~(v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1))) | v129(constB24, bitIndex1) | (~v127(constB23, bitIndex1))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8857,plain,
% 12.63/8.64 (v129(constB24, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8856, 8855, 8842])).
% 12.63/8.64 tff(8858,plain,
% 12.63/8.64 ((~(v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8859,plain,
% 12.63/8.64 (v90(constB24, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8858, 8857, 8838])).
% 12.63/8.64 tff(8860,plain,
% 12.63/8.64 ((~(v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1))) | v90(constB25, bitIndex1) | (~v90(constB24, bitIndex1))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8861,plain,
% 12.63/8.64 (v90(constB25, bitIndex1)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8860, 8859, 8834])).
% 12.63/8.64 tff(8862,plain,
% 12.63/8.64 ((~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8863,plain,
% 12.63/8.64 (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8862, 8861, 8830, 8799])).
% 12.63/8.64 tff(8864,plain,
% 12.63/8.64 ((~(v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) | v125(constB25) | ((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8865,plain,
% 12.63/8.64 (v125(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8864, 8863, 7329])).
% 12.63/8.64 tff(8866,plain,
% 12.63/8.64 ((v114(constB25) | v125(constB25)) | (~v125(constB25))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8867,plain,
% 12.63/8.64 (v114(constB25) | v125(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8866, 8865])).
% 12.63/8.64 tff(8868,plain,
% 12.63/8.64 ((~(v113(constB25) <=> (v114(constB25) | v125(constB25)))) | v113(constB25) | (~(v114(constB25) | v125(constB25)))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8869,plain,
% 12.63/8.64 (v113(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8868, 8867, 7322])).
% 12.63/8.64 tff(8870,plain,
% 12.63/8.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB25)) <=> v111(constB25))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8871,plain,
% 12.63/8.64 ((~v126(constB25)) <=> v111(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8870, 1345])).
% 12.63/8.64 tff(8872,plain,
% 12.63/8.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8873,plain,
% 12.63/8.64 (v111(constB25) <=> v26(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8872, 1357])).
% 12.63/8.64 tff(8874,plain,
% 12.63/8.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8875,plain,
% 12.63/8.64 (~v26(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8874, 1369])).
% 12.63/8.64 tff(8876,plain,
% 12.63/8.64 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8877,plain,
% 12.63/8.64 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8876, 8875])).
% 12.63/8.64 tff(8878,plain,
% 12.63/8.64 (~v111(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8877, 8873])).
% 12.63/8.64 tff(8879,plain,
% 12.63/8.64 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25) | v111(constB25)),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8880,plain,
% 12.63/8.64 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8879, 8878])).
% 12.63/8.64 tff(8881,plain,
% 12.63/8.64 (v126(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8880, 8871])).
% 12.63/8.64 tff(8882,plain,
% 12.63/8.64 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25)) | (~v126(constB25))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8883,plain,
% 12.63/8.64 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8882, 8881])).
% 12.63/8.64 tff(8884,plain,
% 12.63/8.64 (~((~v113(constB25)) | (~v126(constB25)))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8883, 8869])).
% 12.63/8.64 tff(8885,plain,
% 12.63/8.64 ((~(v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))) | v112(constB25) | ((~v113(constB25)) | (~v126(constB25)))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8886,plain,
% 12.63/8.64 (v112(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8885, 8884, 7320])).
% 12.63/8.64 tff(8887,plain,
% 12.63/8.64 ((v111(constB25) | v112(constB25)) | (~v112(constB25))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8888,plain,
% 12.63/8.64 (v111(constB25) | v112(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8887, 8886])).
% 12.63/8.64 tff(8889,plain,
% 12.63/8.64 ((~(v108(constB25) <=> (v111(constB25) | v112(constB25)))) | v108(constB25) | (~(v111(constB25) | v112(constB25)))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8890,plain,
% 12.63/8.64 (v108(constB25)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8889, 8888, 7318])).
% 12.63/8.64 tff(8891,plain,
% 12.63/8.64 ((~(v110(constB26) <=> v108(constB25))) | v110(constB26) | (~v108(constB25))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8892,plain,
% 12.63/8.64 (v110(constB26)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8891, 8890, 7316])).
% 12.63/8.64 tff(8893,plain,
% 12.63/8.64 ((~((~v101(constB26)) | (~v110(constB26)))) | (~v101(constB26)) | (~v110(constB26))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8894,plain,
% 12.63/8.64 (~((~v101(constB26)) | (~v110(constB26)))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8893, 8892, 7312])).
% 12.63/8.64 tff(8895,plain,
% 12.63/8.64 ((~(v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))) | v100(constB26) | ((~v101(constB26)) | (~v110(constB26)))),
% 12.63/8.64 inference(tautology,[status(thm)],[])).
% 12.63/8.64 tff(8896,plain,
% 12.63/8.64 (v100(constB26)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8895, 8894, 7281])).
% 12.63/8.64 tff(8897,plain,
% 12.63/8.64 (((~![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))))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8898,plain,
% 12.63/8.64 ((~![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))))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8899,plain,
% 12.63/8.64 ((~![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)))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 12.63/8.64 tff(8900,plain,
% 12.63/8.64 ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8899, 1405])).
% 12.63/8.64 tff(8901,plain,
% 12.63/8.64 (![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8900, 8896])).
% 12.63/8.64 tff(8902,plain,
% 12.63/8.64 (((~![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)))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8903,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))),
% 12.63/8.64 inference(quant_inst,[status(thm)],[])).
% 12.63/8.64 tff(8904,plain,
% 12.63/8.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2))),
% 12.63/8.64 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 12.63/8.64 tff(8905,plain,
% 12.63/8.64 (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)),
% 12.63/8.64 inference(unit_resolution,[status(thm)],[8904, 579, 8901])).
% 12.63/8.64 tff(8906,plain,
% 12.63/8.64 (((~![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))))),
% 12.63/8.64 inference(rewrite,[status(thm)],[])).
% 12.63/8.64 tff(8907,plain,
% 12.63/8.64 ((~![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))))),
% 12.63/8.65 inference(quant_inst,[status(thm)],[])).
% 12.63/8.65 tff(8908,plain,
% 12.63/8.65 ((~![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)))),
% 12.63/8.65 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 12.63/8.65 tff(8909,plain,
% 12.63/8.65 (![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8908, 7277, 1427])).
% 12.63/8.65 tff(8910,plain,
% 12.63/8.65 (((~![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)))),
% 12.63/8.65 inference(rewrite,[status(thm)],[])).
% 12.63/8.65 tff(8911,plain,
% 12.63/8.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))),
% 12.63/8.65 inference(quant_inst,[status(thm)],[])).
% 12.63/8.65 tff(8912,plain,
% 12.63/8.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2))),
% 12.63/8.65 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 12.63/8.65 tff(8913,plain,
% 12.63/8.65 (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8912, 579, 8909])).
% 12.63/8.65 tff(8914,plain,
% 12.63/8.65 (((~![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))))),
% 12.63/8.65 inference(rewrite,[status(thm)],[])).
% 12.63/8.65 tff(8915,plain,
% 12.63/8.65 ((~![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))))),
% 12.63/8.65 inference(quant_inst,[status(thm)],[])).
% 12.63/8.65 tff(8916,plain,
% 12.63/8.65 ((~![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)))),
% 12.63/8.65 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 12.63/8.65 tff(8917,plain,
% 12.63/8.65 (![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8916, 1448, 8878])).
% 12.63/8.65 tff(8918,plain,
% 12.63/8.65 (((~![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)))),
% 12.63/8.65 inference(rewrite,[status(thm)],[])).
% 12.63/8.65 tff(8919,plain,
% 12.63/8.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))),
% 12.63/8.65 inference(quant_inst,[status(thm)],[])).
% 12.63/8.65 tff(8920,plain,
% 12.63/8.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2))),
% 12.63/8.65 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 12.63/8.65 tff(8921,plain,
% 12.63/8.65 (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8920, 579, 8917])).
% 12.63/8.65 tff(8922,plain,
% 12.63/8.65 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))),
% 12.63/8.65 inference(quant_inst,[status(thm)],[])).
% 12.63/8.65 tff(8923,plain,
% 12.63/8.65 (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8922, 1242])).
% 12.63/8.65 tff(8924,plain,
% 12.63/8.65 ((v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex2))),
% 12.63/8.65 inference(tautology,[status(thm)],[])).
% 12.63/8.65 tff(8925,plain,
% 12.63/8.65 (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8924, 8799])).
% 12.63/8.65 tff(8926,plain,
% 12.63/8.65 ((~(v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))) | (~v119(constB25)) | (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 12.63/8.65 inference(tautology,[status(thm)],[])).
% 12.63/8.65 tff(8927,plain,
% 12.63/8.65 (~v119(constB25)),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8926, 8925, 8923])).
% 12.63/8.65 tff(8928,plain,
% 12.63/8.65 (((~![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))))))),
% 12.63/8.65 inference(rewrite,[status(thm)],[])).
% 12.63/8.65 tff(8929,plain,
% 12.63/8.65 ((v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))))) <=> (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 12.63/8.65 inference(rewrite,[status(thm)],[])).
% 12.63/8.65 tff(8930,plain,
% 12.63/8.65 (((~![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))))))),
% 12.63/8.65 inference(monotonicity,[status(thm)],[8929])).
% 12.63/8.65 tff(8931,plain,
% 12.63/8.65 (((~![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))))))),
% 12.63/8.65 inference(transitivity,[status(thm)],[8930, 8928])).
% 12.63/8.65 tff(8932,plain,
% 12.63/8.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))),
% 12.63/8.65 inference(quant_inst,[status(thm)],[])).
% 12.63/8.65 tff(8933,plain,
% 12.63/8.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 12.63/8.65 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 12.63/8.65 tff(8934,plain,
% 12.63/8.65 (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8933, 2651])).
% 12.63/8.65 tff(8935,plain,
% 12.63/8.65 (((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex1))),
% 12.63/8.65 inference(tautology,[status(thm)],[])).
% 12.63/8.65 tff(8936,plain,
% 12.63/8.65 ((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))),
% 12.63/8.65 inference(unit_resolution,[status(thm)],[8935, 8861])).
% 12.63/8.65 tff(8937,plain,
% 12.63/8.65 ((~(v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) | (~v124(constB25)) | (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 12.65/8.65 inference(tautology,[status(thm)],[])).
% 12.65/8.65 tff(8938,plain,
% 12.65/8.65 (~v124(constB25)),
% 12.65/8.65 inference(unit_resolution,[status(thm)],[8937, 8936, 8934])).
% 12.65/8.65 tff(8939,plain,
% 12.65/8.65 (((~![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)))))),
% 12.65/8.65 inference(rewrite,[status(thm)],[])).
% 12.65/8.65 tff(8940,plain,
% 12.65/8.65 ((v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))))) <=> (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))),
% 12.65/8.65 inference(rewrite,[status(thm)],[])).
% 12.65/8.65 tff(8941,plain,
% 12.65/8.65 (((~![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)))))),
% 12.65/8.65 inference(monotonicity,[status(thm)],[8940])).
% 12.65/8.65 tff(8942,plain,
% 12.65/8.65 (((~![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)))))),
% 12.65/8.65 inference(transitivity,[status(thm)],[8941, 8939])).
% 12.65/8.65 tff(8943,plain,
% 12.65/8.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))),
% 12.65/8.65 inference(quant_inst,[status(thm)],[])).
% 12.65/8.65 tff(8944,plain,
% 12.65/8.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))),
% 12.65/8.65 inference(modus_ponens,[status(thm)],[8943, 8942])).
% 12.65/8.65 tff(8945,plain,
% 12.65/8.65 (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))),
% 12.65/8.65 inference(unit_resolution,[status(thm)],[8944, 787])).
% 12.65/8.65 tff(8946,plain,
% 12.65/8.65 (((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))),
% 12.65/8.65 inference(tautology,[status(thm)],[])).
% 12.65/8.65 tff(8947,plain,
% 12.65/8.65 ((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)),
% 12.65/8.65 inference(unit_resolution,[status(thm)],[8946, 8861])).
% 12.65/8.65 tff(8948,plain,
% 12.65/8.65 ((~(v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))) | (~v123(constB25)) | (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))),
% 12.65/8.65 inference(tautology,[status(thm)],[])).
% 12.65/8.65 tff(8949,plain,
% 12.65/8.65 (~v123(constB25)),
% 12.65/8.65 inference(unit_resolution,[status(thm)],[8948, 8947, 8945])).
% 12.65/8.65 tff(8950,plain,
% 12.65/8.65 (((~![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))))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8951,plain,
% 12.65/8.66 ((v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))))) <=> (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8952,plain,
% 12.65/8.66 (((~![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))))))),
% 12.65/8.66 inference(monotonicity,[status(thm)],[8951])).
% 12.65/8.66 tff(8953,plain,
% 12.65/8.66 (((~![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))))))),
% 12.65/8.66 inference(transitivity,[status(thm)],[8952, 8950])).
% 12.65/8.66 tff(8954,plain,
% 12.65/8.66 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))),
% 12.65/8.66 inference(quant_inst,[status(thm)],[])).
% 12.65/8.66 tff(8955,plain,
% 12.65/8.66 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 12.65/8.66 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 12.65/8.66 tff(8956,plain,
% 12.65/8.66 (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8955, 900])).
% 12.65/8.66 tff(8957,plain,
% 12.65/8.66 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8958,plain,
% 12.65/8.66 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8957, 8799])).
% 12.65/8.66 tff(8959,plain,
% 12.65/8.66 ((~(v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) | (~v122(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8960,plain,
% 12.65/8.66 (~v122(constB25)),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8959, 8958, 8956])).
% 12.65/8.66 tff(8961,plain,
% 12.65/8.66 (((~![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)))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8962,plain,
% 12.65/8.66 ((v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1))))) <=> (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8963,plain,
% 12.65/8.66 (((~![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)))))),
% 12.65/8.66 inference(monotonicity,[status(thm)],[8962])).
% 12.65/8.66 tff(8964,plain,
% 12.65/8.66 (((~![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)))))),
% 12.65/8.66 inference(transitivity,[status(thm)],[8963, 8961])).
% 12.65/8.66 tff(8965,plain,
% 12.65/8.66 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))),
% 12.65/8.66 inference(quant_inst,[status(thm)],[])).
% 12.65/8.66 tff(8966,plain,
% 12.65/8.66 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 12.65/8.66 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 12.65/8.66 tff(8967,plain,
% 12.65/8.66 (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8966, 1015])).
% 12.65/8.66 tff(8968,plain,
% 12.65/8.66 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8969,plain,
% 12.65/8.66 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8968, 8799])).
% 12.65/8.66 tff(8970,plain,
% 12.65/8.66 ((~(v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) | (~v121(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8971,plain,
% 12.65/8.66 (~v121(constB25)),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8970, 8969, 8967])).
% 12.65/8.66 tff(8972,plain,
% 12.65/8.66 (((~![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))))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8973,plain,
% 12.65/8.66 ((v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))) <=> (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8974,plain,
% 12.65/8.66 (((~![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))))))),
% 12.65/8.66 inference(monotonicity,[status(thm)],[8973])).
% 12.65/8.66 tff(8975,plain,
% 12.65/8.66 (((~![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))))))),
% 12.65/8.66 inference(transitivity,[status(thm)],[8974, 8972])).
% 12.65/8.66 tff(8976,plain,
% 12.65/8.66 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))),
% 12.65/8.66 inference(quant_inst,[status(thm)],[])).
% 12.65/8.66 tff(8977,plain,
% 12.65/8.66 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 12.65/8.66 inference(modus_ponens,[status(thm)],[8976, 8975])).
% 12.65/8.66 tff(8978,plain,
% 12.65/8.66 (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8977, 1132])).
% 12.65/8.66 tff(8979,plain,
% 12.65/8.66 ((v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8980,plain,
% 12.65/8.66 (v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8979, 8799])).
% 12.65/8.66 tff(8981,plain,
% 12.65/8.66 ((~(v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) | (~v120(constB25)) | (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8982,plain,
% 12.65/8.66 (~v120(constB25)),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8981, 8980, 8978])).
% 12.65/8.66 tff(8983,plain,
% 12.65/8.66 (((~![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(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))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8984,plain,
% 12.65/8.66 ((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))))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8985,plain,
% 12.65/8.66 (((~![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(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)))))),
% 12.65/8.66 inference(monotonicity,[status(thm)],[8984])).
% 12.65/8.66 tff(8986,plain,
% 12.65/8.66 (((~![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(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))))),
% 12.65/8.66 inference(transitivity,[status(thm)],[8985, 8983])).
% 12.65/8.66 tff(8987,plain,
% 12.65/8.66 ((~![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(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 12.65/8.66 inference(quant_inst,[status(thm)],[])).
% 12.65/8.66 tff(8988,plain,
% 12.65/8.66 ((~![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(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 12.65/8.66 inference(modus_ponens,[status(thm)],[8987, 8986])).
% 12.65/8.66 tff(8989,plain,
% 12.65/8.66 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8988, 8006])).
% 12.65/8.66 tff(8990,plain,
% 12.65/8.66 (![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8989, 8982, 8971, 8960, 8949, 8938, 8927])).
% 12.65/8.66 tff(8991,plain,
% 12.65/8.66 (((~![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)))),
% 12.65/8.66 inference(rewrite,[status(thm)],[])).
% 12.65/8.66 tff(8992,plain,
% 12.65/8.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 12.65/8.66 inference(quant_inst,[status(thm)],[])).
% 12.65/8.66 tff(8993,plain,
% 12.65/8.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2))),
% 12.65/8.66 inference(modus_ponens,[status(thm)],[8992, 8991])).
% 12.65/8.66 tff(8994,plain,
% 12.65/8.66 (v130(constB25, bitIndex2) <=> b001(bitIndex2)),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8993, 579, 8990])).
% 12.65/8.66 tff(8995,plain,
% 12.65/8.66 ((~(v130(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB25, bitIndex2)) | b001(bitIndex2)),
% 12.65/8.66 inference(tautology,[status(thm)],[])).
% 12.65/8.66 tff(8996,plain,
% 12.65/8.66 ((~(v130(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB25, bitIndex2))),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8995, 1480])).
% 12.65/8.66 tff(8997,plain,
% 12.65/8.66 (~v130(constB25, bitIndex2)),
% 12.65/8.66 inference(unit_resolution,[status(thm)],[8996, 8994])).
% 12.65/8.67 tff(8998,plain,
% 12.65/8.67 ((~(v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2))) | (~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(8999,plain,
% 12.65/8.67 (~v127(constB25, bitIndex2)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[8998, 8997, 8921])).
% 12.65/8.67 tff(9000,plain,
% 12.65/8.67 ((~(v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2))) | (~v129(constB26, bitIndex2)) | v127(constB25, bitIndex2)),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9001,plain,
% 12.65/8.67 (~v129(constB26, bitIndex2)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9000, 8999, 8913])).
% 12.65/8.67 tff(9002,plain,
% 12.65/8.67 ((~(v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9003,plain,
% 12.65/8.67 (~v90(constB26, bitIndex2)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9002, 9001, 8905])).
% 12.65/8.67 tff(9004,plain,
% 12.65/8.67 ((~(v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2))) | (~v90(constB27, bitIndex2)) | v90(constB26, bitIndex2)),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9005,plain,
% 12.65/8.67 (~v90(constB27, bitIndex2)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9004, 9003, 7274])).
% 12.65/8.67 tff(9006,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9007,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9008,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 12.65/8.67 tff(9009,plain,
% 12.65/8.67 (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9008, 1275, 7270])).
% 12.65/8.67 tff(9010,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9011,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9012,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 12.65/8.67 tff(9013,plain,
% 12.65/8.67 (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9012, 1275, 8901])).
% 12.65/8.67 tff(9014,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9015,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9016,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 12.65/8.67 tff(9017,plain,
% 12.65/8.67 (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9016, 1275, 8909])).
% 12.65/8.67 tff(9018,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9019,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9020,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 12.65/8.67 tff(9021,plain,
% 12.65/8.67 (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9020, 1275, 8917])).
% 12.65/8.67 tff(9022,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9023,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9024,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9023, 9022])).
% 12.65/8.67 tff(9025,plain,
% 12.65/8.67 (v130(constB25, bitIndex0) <=> b001(bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9024, 1275, 8990])).
% 12.65/8.67 tff(9026,plain,
% 12.65/8.67 ((~(v130(constB25, bitIndex0) <=> b001(bitIndex0))) | v130(constB25, bitIndex0) | (~b001(bitIndex0))),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9027,plain,
% 12.65/8.67 ((~(v130(constB25, bitIndex0) <=> b001(bitIndex0))) | v130(constB25, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9026, 1514])).
% 12.65/8.67 tff(9028,plain,
% 12.65/8.67 (v130(constB25, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9027, 9025])).
% 12.65/8.67 tff(9029,plain,
% 12.65/8.67 ((~(v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0))) | v127(constB25, bitIndex0) | (~v130(constB25, bitIndex0))),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9030,plain,
% 12.65/8.67 (v127(constB25, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9029, 9028, 9021])).
% 12.65/8.67 tff(9031,plain,
% 12.65/8.67 ((~(v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0))) | v129(constB26, bitIndex0) | (~v127(constB25, bitIndex0))),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9032,plain,
% 12.65/8.67 (v129(constB26, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9031, 9030, 9017])).
% 12.65/8.67 tff(9033,plain,
% 12.65/8.67 ((~(v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9034,plain,
% 12.65/8.67 (v90(constB26, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9033, 9032, 9013])).
% 12.65/8.67 tff(9035,plain,
% 12.65/8.67 ((~(v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0))) | v90(constB27, bitIndex0) | (~v90(constB26, bitIndex0))),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9036,plain,
% 12.65/8.67 (v90(constB27, bitIndex0)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9035, 9034, 9009])).
% 12.65/8.67 tff(9037,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9038,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9039,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 12.65/8.67 tff(9040,plain,
% 12.65/8.67 (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9039, 1288, 7270])).
% 12.65/8.67 tff(9041,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9042,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9043,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 12.65/8.67 tff(9044,plain,
% 12.65/8.67 (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9043, 1288, 8901])).
% 12.65/8.67 tff(9045,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9046,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9047,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 12.65/8.67 tff(9048,plain,
% 12.65/8.67 (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9047, 1288, 8909])).
% 12.65/8.67 tff(9049,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9050,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9051,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 12.65/8.67 tff(9052,plain,
% 12.65/8.67 (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9051, 1288, 8917])).
% 12.65/8.67 tff(9053,plain,
% 12.65/8.67 (((~![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)))),
% 12.65/8.67 inference(rewrite,[status(thm)],[])).
% 12.65/8.67 tff(9054,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 12.65/8.67 inference(quant_inst,[status(thm)],[])).
% 12.65/8.67 tff(9055,plain,
% 12.65/8.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1))),
% 12.65/8.67 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 12.65/8.67 tff(9056,plain,
% 12.65/8.67 (v130(constB25, bitIndex1) <=> b001(bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9055, 1288, 8990])).
% 12.65/8.67 tff(9057,plain,
% 12.65/8.67 ((~(v130(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB25, bitIndex1)) | b001(bitIndex1)),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9058,plain,
% 12.65/8.67 ((~(v130(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB25, bitIndex1))),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9057, 1548])).
% 12.65/8.67 tff(9059,plain,
% 12.65/8.67 (~v130(constB25, bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9058, 9056])).
% 12.65/8.67 tff(9060,plain,
% 12.65/8.67 ((~(v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1))) | (~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 12.65/8.67 inference(tautology,[status(thm)],[])).
% 12.65/8.67 tff(9061,plain,
% 12.65/8.67 (~v127(constB25, bitIndex1)),
% 12.65/8.67 inference(unit_resolution,[status(thm)],[9060, 9059, 9052])).
% 12.65/8.68 tff(9062,plain,
% 12.65/8.68 ((~(v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1))) | (~v129(constB26, bitIndex1)) | v127(constB25, bitIndex1)),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9063,plain,
% 12.65/8.68 (~v129(constB26, bitIndex1)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9062, 9061, 9048])).
% 12.65/8.68 tff(9064,plain,
% 12.65/8.68 ((~(v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9065,plain,
% 12.65/8.68 (~v90(constB26, bitIndex1)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9064, 9063, 9044])).
% 12.65/8.68 tff(9066,plain,
% 12.65/8.68 ((~(v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1))) | (~v90(constB27, bitIndex1)) | v90(constB26, bitIndex1)),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9067,plain,
% 12.65/8.68 (~v90(constB27, bitIndex1)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9066, 9065, 9040])).
% 12.65/8.68 tff(9068,plain,
% 12.65/8.68 ((~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))) | v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9069,plain,
% 12.65/8.68 (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9068, 9067, 9036, 9005])).
% 12.65/8.68 tff(9070,plain,
% 12.65/8.68 ((~(v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))) | v120(constB27) | (v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9071,plain,
% 12.65/8.68 (v120(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9070, 9069, 7242])).
% 12.65/8.68 tff(9072,plain,
% 12.65/8.68 ((v119(constB27) | v120(constB27)) | (~v120(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9073,plain,
% 12.65/8.68 (v119(constB27) | v120(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9072, 9071])).
% 12.65/8.68 tff(9074,plain,
% 12.65/8.68 ((~(v118(constB27) <=> (v119(constB27) | v120(constB27)))) | v118(constB27) | (~(v119(constB27) | v120(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9075,plain,
% 12.65/8.68 (v118(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9074, 9073, 7235])).
% 12.65/8.68 tff(9076,plain,
% 12.65/8.68 ((v118(constB27) | v121(constB27)) | (~v118(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9077,plain,
% 12.65/8.68 (v118(constB27) | v121(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9076, 9075])).
% 12.65/8.68 tff(9078,plain,
% 12.65/8.68 ((~(v117(constB27) <=> (v118(constB27) | v121(constB27)))) | v117(constB27) | (~(v118(constB27) | v121(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9079,plain,
% 12.65/8.68 (v117(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9078, 9077, 7233])).
% 12.65/8.68 tff(9080,plain,
% 12.65/8.68 ((v117(constB27) | v122(constB27)) | (~v117(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9081,plain,
% 12.65/8.68 (v117(constB27) | v122(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9080, 9079])).
% 12.65/8.68 tff(9082,plain,
% 12.65/8.68 ((~(v116(constB27) <=> (v117(constB27) | v122(constB27)))) | v116(constB27) | (~(v117(constB27) | v122(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9083,plain,
% 12.65/8.68 (v116(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9082, 9081, 7231])).
% 12.65/8.68 tff(9084,plain,
% 12.65/8.68 ((v116(constB27) | v123(constB27)) | (~v116(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9085,plain,
% 12.65/8.68 (v116(constB27) | v123(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9084, 9083])).
% 12.65/8.68 tff(9086,plain,
% 12.65/8.68 ((~(v115(constB27) <=> (v116(constB27) | v123(constB27)))) | v115(constB27) | (~(v116(constB27) | v123(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9087,plain,
% 12.65/8.68 (v115(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9086, 9085, 7229])).
% 12.65/8.68 tff(9088,plain,
% 12.65/8.68 ((v115(constB27) | v124(constB27)) | (~v115(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9089,plain,
% 12.65/8.68 (v115(constB27) | v124(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9088, 9087])).
% 12.65/8.68 tff(9090,plain,
% 12.65/8.68 ((~(v114(constB27) <=> (v115(constB27) | v124(constB27)))) | v114(constB27) | (~(v115(constB27) | v124(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9091,plain,
% 12.65/8.68 (v114(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9090, 9089, 7227])).
% 12.65/8.68 tff(9092,plain,
% 12.65/8.68 ((v114(constB27) | v125(constB27)) | (~v114(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9093,plain,
% 12.65/8.68 (v114(constB27) | v125(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9092, 9091])).
% 12.65/8.68 tff(9094,plain,
% 12.65/8.68 ((~(v113(constB27) <=> (v114(constB27) | v125(constB27)))) | v113(constB27) | (~(v114(constB27) | v125(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9095,plain,
% 12.65/8.68 (v113(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9094, 9093, 7225])).
% 12.65/8.68 tff(9096,plain,
% 12.65/8.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB27)) <=> v111(constB27))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9097,plain,
% 12.65/8.68 ((~v126(constB27)) <=> v111(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9096, 1345])).
% 12.65/8.68 tff(9098,plain,
% 12.65/8.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9099,plain,
% 12.65/8.68 (v111(constB27) <=> v26(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9098, 1357])).
% 12.65/8.68 tff(9100,plain,
% 12.65/8.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9101,plain,
% 12.65/8.68 (~v26(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9100, 1369])).
% 12.65/8.68 tff(9102,plain,
% 12.65/8.68 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9103,plain,
% 12.65/8.68 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9102, 9101])).
% 12.65/8.68 tff(9104,plain,
% 12.65/8.68 (~v111(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9103, 9099])).
% 12.65/8.68 tff(9105,plain,
% 12.65/8.68 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27) | v111(constB27)),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9106,plain,
% 12.65/8.68 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9105, 9104])).
% 12.65/8.68 tff(9107,plain,
% 12.65/8.68 (v126(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9106, 9097])).
% 12.65/8.68 tff(9108,plain,
% 12.65/8.68 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27)) | (~v126(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9109,plain,
% 12.65/8.68 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9108, 9107])).
% 12.65/8.68 tff(9110,plain,
% 12.65/8.68 (~((~v113(constB27)) | (~v126(constB27)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9109, 9095])).
% 12.65/8.68 tff(9111,plain,
% 12.65/8.68 ((~(v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))) | v112(constB27) | ((~v113(constB27)) | (~v126(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9112,plain,
% 12.65/8.68 (v112(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9111, 9110, 7223])).
% 12.65/8.68 tff(9113,plain,
% 12.65/8.68 ((v111(constB27) | v112(constB27)) | (~v112(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9114,plain,
% 12.65/8.68 (v111(constB27) | v112(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9113, 9112])).
% 12.65/8.68 tff(9115,plain,
% 12.65/8.68 ((~(v108(constB27) <=> (v111(constB27) | v112(constB27)))) | v108(constB27) | (~(v111(constB27) | v112(constB27)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9116,plain,
% 12.65/8.68 (v108(constB27)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9115, 9114, 7221])).
% 12.65/8.68 tff(9117,plain,
% 12.65/8.68 ((~(v110(constB28) <=> v108(constB27))) | v110(constB28) | (~v108(constB27))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9118,plain,
% 12.65/8.68 (v110(constB28)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9117, 9116, 7219])).
% 12.65/8.68 tff(9119,plain,
% 12.65/8.68 ((~((~v101(constB28)) | (~v110(constB28)))) | (~v101(constB28)) | (~v110(constB28))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9120,plain,
% 12.65/8.68 (~((~v101(constB28)) | (~v110(constB28)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9119, 9118, 7215])).
% 12.65/8.68 tff(9121,plain,
% 12.65/8.68 ((~(v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))) | v100(constB28) | ((~v101(constB28)) | (~v110(constB28)))),
% 12.65/8.68 inference(tautology,[status(thm)],[])).
% 12.65/8.68 tff(9122,plain,
% 12.65/8.68 (v100(constB28)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9121, 9120, 7184])).
% 12.65/8.68 tff(9123,plain,
% 12.65/8.68 (((~![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))))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9124,plain,
% 12.65/8.68 ((~![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))))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9125,plain,
% 12.65/8.68 ((~![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)))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 12.65/8.68 tff(9126,plain,
% 12.65/8.68 ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9125, 1405])).
% 12.65/8.68 tff(9127,plain,
% 12.65/8.68 (![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9126, 9122])).
% 12.65/8.68 tff(9128,plain,
% 12.65/8.68 (((~![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)))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9129,plain,
% 12.65/8.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9130,plain,
% 12.65/8.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9129, 9128])).
% 12.65/8.68 tff(9131,plain,
% 12.65/8.68 (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9130, 579, 9127])).
% 12.65/8.68 tff(9132,plain,
% 12.65/8.68 (((~![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))))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9133,plain,
% 12.65/8.68 ((~![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))))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9134,plain,
% 12.65/8.68 ((~![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)))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 12.65/8.68 tff(9135,plain,
% 12.65/8.68 (![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9134, 7180, 1427])).
% 12.65/8.68 tff(9136,plain,
% 12.65/8.68 (((~![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)))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9137,plain,
% 12.65/8.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9138,plain,
% 12.65/8.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 12.65/8.68 tff(9139,plain,
% 12.65/8.68 (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9138, 579, 9135])).
% 12.65/8.68 tff(9140,plain,
% 12.65/8.68 (((~![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))))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9141,plain,
% 12.65/8.68 ((~![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))))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9142,plain,
% 12.65/8.68 ((~![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)))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 12.65/8.68 tff(9143,plain,
% 12.65/8.68 (![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9142, 1448, 9104])).
% 12.65/8.68 tff(9144,plain,
% 12.65/8.68 (((~![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)))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9145,plain,
% 12.65/8.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9146,plain,
% 12.65/8.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 12.65/8.68 tff(9147,plain,
% 12.65/8.68 (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9146, 579, 9143])).
% 12.65/8.68 tff(9148,plain,
% 12.65/8.68 (((~![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))))),
% 12.65/8.68 inference(rewrite,[status(thm)],[])).
% 12.65/8.68 tff(9149,plain,
% 12.65/8.68 ((~![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))))),
% 12.65/8.68 inference(quant_inst,[status(thm)],[])).
% 12.65/8.68 tff(9150,plain,
% 12.65/8.68 ((~![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)))),
% 12.65/8.68 inference(modus_ponens,[status(thm)],[9149, 9148])).
% 12.65/8.68 tff(9151,plain,
% 12.65/8.68 ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 12.65/8.68 inference(unit_resolution,[status(thm)],[9150, 1652])).
% 12.65/8.69 tff(9152,plain,
% 12.65/8.69 (![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9151, 9071])).
% 12.65/8.69 tff(9153,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9154,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9155,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9154, 9153])).
% 12.65/8.69 tff(9156,plain,
% 12.65/8.69 (v130(constB27, bitIndex2) <=> b010(bitIndex2)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9155, 579, 9152])).
% 12.65/8.69 tff(9157,plain,
% 12.65/8.69 ((~(v130(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB27, bitIndex2)) | b010(bitIndex2)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9158,plain,
% 12.65/8.69 ((~(v130(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB27, bitIndex2))),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9157, 1664])).
% 12.65/8.69 tff(9159,plain,
% 12.65/8.69 (~v130(constB27, bitIndex2)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9158, 9156])).
% 12.65/8.69 tff(9160,plain,
% 12.65/8.69 ((~(v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2))) | (~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9161,plain,
% 12.65/8.69 (~v127(constB27, bitIndex2)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9160, 9159, 9147])).
% 12.65/8.69 tff(9162,plain,
% 12.65/8.69 ((~(v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2))) | (~v129(constB28, bitIndex2)) | v127(constB27, bitIndex2)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9163,plain,
% 12.65/8.69 (~v129(constB28, bitIndex2)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9162, 9161, 9139])).
% 12.65/8.69 tff(9164,plain,
% 12.65/8.69 ((~(v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9165,plain,
% 12.65/8.69 (~v90(constB28, bitIndex2)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9164, 9163, 9131])).
% 12.65/8.69 tff(9166,plain,
% 12.65/8.69 ((~(v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2))) | (~v90(constB29, bitIndex2)) | v90(constB28, bitIndex2)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9167,plain,
% 12.65/8.69 (~v90(constB29, bitIndex2)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9166, 9165, 7177])).
% 12.65/8.69 tff(9168,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9169,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9170,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9169, 9168])).
% 12.65/8.69 tff(9171,plain,
% 12.65/8.69 (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9170, 1275, 7173])).
% 12.65/8.69 tff(9172,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9173,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9174,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9173, 9172])).
% 12.65/8.69 tff(9175,plain,
% 12.65/8.69 (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9174, 1275, 9127])).
% 12.65/8.69 tff(9176,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9177,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9178,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9177, 9176])).
% 12.65/8.69 tff(9179,plain,
% 12.65/8.69 (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9178, 1275, 9135])).
% 12.65/8.69 tff(9180,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9181,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9182,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 12.65/8.69 tff(9183,plain,
% 12.65/8.69 (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9182, 1275, 9143])).
% 12.65/8.69 tff(9184,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9185,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9186,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 12.65/8.69 tff(9187,plain,
% 12.65/8.69 (v130(constB27, bitIndex0) <=> b010(bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9186, 1275, 9152])).
% 12.65/8.69 tff(9188,plain,
% 12.65/8.69 ((~(v130(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB27, bitIndex0)) | b010(bitIndex0)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9189,plain,
% 12.65/8.69 ((~(v130(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB27, bitIndex0))),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9188, 1698])).
% 12.65/8.69 tff(9190,plain,
% 12.65/8.69 (~v130(constB27, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9189, 9187])).
% 12.65/8.69 tff(9191,plain,
% 12.65/8.69 ((~(v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0))) | (~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9192,plain,
% 12.65/8.69 (~v127(constB27, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9191, 9190, 9183])).
% 12.65/8.69 tff(9193,plain,
% 12.65/8.69 ((~(v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0))) | (~v129(constB28, bitIndex0)) | v127(constB27, bitIndex0)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9194,plain,
% 12.65/8.69 (~v129(constB28, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9193, 9192, 9179])).
% 12.65/8.69 tff(9195,plain,
% 12.65/8.69 ((~(v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9196,plain,
% 12.65/8.69 (~v90(constB28, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9195, 9194, 9175])).
% 12.65/8.69 tff(9197,plain,
% 12.65/8.69 ((~(v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0))) | (~v90(constB29, bitIndex0)) | v90(constB28, bitIndex0)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9198,plain,
% 12.65/8.69 (~v90(constB29, bitIndex0)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9197, 9196, 9171])).
% 12.65/8.69 tff(9199,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9200,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9201,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9200, 9199])).
% 12.65/8.69 tff(9202,plain,
% 12.65/8.69 (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9201, 1288, 7173])).
% 12.65/8.69 tff(9203,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9204,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9205,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 12.65/8.69 tff(9206,plain,
% 12.65/8.69 (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9205, 1288, 9127])).
% 12.65/8.69 tff(9207,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9208,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9209,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9208, 9207])).
% 12.65/8.69 tff(9210,plain,
% 12.65/8.69 (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9209, 1288, 9135])).
% 12.65/8.69 tff(9211,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9212,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9213,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 12.65/8.69 tff(9214,plain,
% 12.65/8.69 (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9213, 1288, 9143])).
% 12.65/8.69 tff(9215,plain,
% 12.65/8.69 (((~![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)))),
% 12.65/8.69 inference(rewrite,[status(thm)],[])).
% 12.65/8.69 tff(9216,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 12.65/8.69 inference(quant_inst,[status(thm)],[])).
% 12.65/8.69 tff(9217,plain,
% 12.65/8.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1))),
% 12.65/8.69 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 12.65/8.69 tff(9218,plain,
% 12.65/8.69 (v130(constB27, bitIndex1) <=> b010(bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9217, 1288, 9152])).
% 12.65/8.69 tff(9219,plain,
% 12.65/8.69 ((~(v130(constB27, bitIndex1) <=> b010(bitIndex1))) | v130(constB27, bitIndex1) | (~b010(bitIndex1))),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9220,plain,
% 12.65/8.69 ((~(v130(constB27, bitIndex1) <=> b010(bitIndex1))) | v130(constB27, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9219, 1732])).
% 12.65/8.69 tff(9221,plain,
% 12.65/8.69 (v130(constB27, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9220, 9218])).
% 12.65/8.69 tff(9222,plain,
% 12.65/8.69 ((~(v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1))) | v127(constB27, bitIndex1) | (~v130(constB27, bitIndex1))),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9223,plain,
% 12.65/8.69 (v127(constB27, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9222, 9221, 9214])).
% 12.65/8.69 tff(9224,plain,
% 12.65/8.69 ((~(v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1))) | v129(constB28, bitIndex1) | (~v127(constB27, bitIndex1))),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9225,plain,
% 12.65/8.69 (v129(constB28, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9224, 9223, 9210])).
% 12.65/8.69 tff(9226,plain,
% 12.65/8.69 ((~(v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9227,plain,
% 12.65/8.69 (v90(constB28, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9226, 9225, 9206])).
% 12.65/8.69 tff(9228,plain,
% 12.65/8.69 ((~(v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1))) | v90(constB29, bitIndex1) | (~v90(constB28, bitIndex1))),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9229,plain,
% 12.65/8.69 (v90(constB29, bitIndex1)),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9228, 9227, 9202])).
% 12.65/8.69 tff(9230,plain,
% 12.65/8.69 ((~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.69 tff(9231,plain,
% 12.65/8.69 (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))),
% 12.65/8.69 inference(unit_resolution,[status(thm)],[9230, 9229, 9198, 9167])).
% 12.65/8.69 tff(9232,plain,
% 12.65/8.69 ((~(v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))) | v121(constB29) | (v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))),
% 12.65/8.69 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9233,plain,
% 12.65/8.70 (v121(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9232, 9231, 7145])).
% 12.65/8.70 tff(9234,plain,
% 12.65/8.70 ((v118(constB29) | v121(constB29)) | (~v121(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9235,plain,
% 12.65/8.70 (v118(constB29) | v121(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9234, 9233])).
% 12.65/8.70 tff(9236,plain,
% 12.65/8.70 ((~(v117(constB29) <=> (v118(constB29) | v121(constB29)))) | v117(constB29) | (~(v118(constB29) | v121(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9237,plain,
% 12.65/8.70 (v117(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9236, 9235, 7138])).
% 12.65/8.70 tff(9238,plain,
% 12.65/8.70 ((v117(constB29) | v122(constB29)) | (~v117(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9239,plain,
% 12.65/8.70 (v117(constB29) | v122(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9238, 9237])).
% 12.65/8.70 tff(9240,plain,
% 12.65/8.70 ((~(v116(constB29) <=> (v117(constB29) | v122(constB29)))) | v116(constB29) | (~(v117(constB29) | v122(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9241,plain,
% 12.65/8.70 (v116(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9240, 9239, 7136])).
% 12.65/8.70 tff(9242,plain,
% 12.65/8.70 ((v116(constB29) | v123(constB29)) | (~v116(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9243,plain,
% 12.65/8.70 (v116(constB29) | v123(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9242, 9241])).
% 12.65/8.70 tff(9244,plain,
% 12.65/8.70 ((~(v115(constB29) <=> (v116(constB29) | v123(constB29)))) | v115(constB29) | (~(v116(constB29) | v123(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9245,plain,
% 12.65/8.70 (v115(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9244, 9243, 7134])).
% 12.65/8.70 tff(9246,plain,
% 12.65/8.70 ((v115(constB29) | v124(constB29)) | (~v115(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9247,plain,
% 12.65/8.70 (v115(constB29) | v124(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9246, 9245])).
% 12.65/8.70 tff(9248,plain,
% 12.65/8.70 ((~(v114(constB29) <=> (v115(constB29) | v124(constB29)))) | v114(constB29) | (~(v115(constB29) | v124(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9249,plain,
% 12.65/8.70 (v114(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9248, 9247, 7132])).
% 12.65/8.70 tff(9250,plain,
% 12.65/8.70 ((v114(constB29) | v125(constB29)) | (~v114(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9251,plain,
% 12.65/8.70 (v114(constB29) | v125(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9250, 9249])).
% 12.65/8.70 tff(9252,plain,
% 12.65/8.70 ((~(v113(constB29) <=> (v114(constB29) | v125(constB29)))) | v113(constB29) | (~(v114(constB29) | v125(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9253,plain,
% 12.65/8.70 (v113(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9252, 9251, 7130])).
% 12.65/8.70 tff(9254,plain,
% 12.65/8.70 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB29)) <=> v111(constB29))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9255,plain,
% 12.65/8.70 ((~v126(constB29)) <=> v111(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9254, 1345])).
% 12.65/8.70 tff(9256,plain,
% 12.65/8.70 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9257,plain,
% 12.65/8.70 (v111(constB29) <=> v26(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9256, 1357])).
% 12.65/8.70 tff(9258,plain,
% 12.65/8.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9259,plain,
% 12.65/8.70 (~v26(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9258, 1369])).
% 12.65/8.70 tff(9260,plain,
% 12.65/8.70 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9261,plain,
% 12.65/8.70 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9260, 9259])).
% 12.65/8.70 tff(9262,plain,
% 12.65/8.70 (~v111(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9261, 9257])).
% 12.65/8.70 tff(9263,plain,
% 12.65/8.70 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29) | v111(constB29)),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9264,plain,
% 12.65/8.70 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9263, 9262])).
% 12.65/8.70 tff(9265,plain,
% 12.65/8.70 (v126(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9264, 9255])).
% 12.65/8.70 tff(9266,plain,
% 12.65/8.70 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29)) | (~v126(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9267,plain,
% 12.65/8.70 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9266, 9265])).
% 12.65/8.70 tff(9268,plain,
% 12.65/8.70 (~((~v113(constB29)) | (~v126(constB29)))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9267, 9253])).
% 12.65/8.70 tff(9269,plain,
% 12.65/8.70 ((~(v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))) | v112(constB29) | ((~v113(constB29)) | (~v126(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9270,plain,
% 12.65/8.70 (v112(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9269, 9268, 7128])).
% 12.65/8.70 tff(9271,plain,
% 12.65/8.70 ((v111(constB29) | v112(constB29)) | (~v112(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9272,plain,
% 12.65/8.70 (v111(constB29) | v112(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9271, 9270])).
% 12.65/8.70 tff(9273,plain,
% 12.65/8.70 ((~(v108(constB29) <=> (v111(constB29) | v112(constB29)))) | v108(constB29) | (~(v111(constB29) | v112(constB29)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9274,plain,
% 12.65/8.70 (v108(constB29)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9273, 9272, 7126])).
% 12.65/8.70 tff(9275,plain,
% 12.65/8.70 ((~(v110(constB30) <=> v108(constB29))) | v110(constB30) | (~v108(constB29))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9276,plain,
% 12.65/8.70 (v110(constB30)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9275, 9274, 7124])).
% 12.65/8.70 tff(9277,plain,
% 12.65/8.70 ((~((~v101(constB30)) | (~v110(constB30)))) | (~v101(constB30)) | (~v110(constB30))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9278,plain,
% 12.65/8.70 (~((~v101(constB30)) | (~v110(constB30)))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9277, 9276, 7120])).
% 12.65/8.70 tff(9279,plain,
% 12.65/8.70 ((~(v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))) | v100(constB30) | ((~v101(constB30)) | (~v110(constB30)))),
% 12.65/8.70 inference(tautology,[status(thm)],[])).
% 12.65/8.70 tff(9280,plain,
% 12.65/8.70 (v100(constB30)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9279, 9278, 7089])).
% 12.65/8.70 tff(9281,plain,
% 12.65/8.70 (((~![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))))),
% 12.65/8.70 inference(rewrite,[status(thm)],[])).
% 12.65/8.70 tff(9282,plain,
% 12.65/8.70 ((~![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))))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9283,plain,
% 12.65/8.70 ((~![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)))),
% 12.65/8.70 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 12.65/8.70 tff(9284,plain,
% 12.65/8.70 ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9283, 1405])).
% 12.65/8.70 tff(9285,plain,
% 12.65/8.70 (![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9284, 9280])).
% 12.65/8.70 tff(9286,plain,
% 12.65/8.70 (((~![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)))),
% 12.65/8.70 inference(rewrite,[status(thm)],[])).
% 12.65/8.70 tff(9287,plain,
% 12.65/8.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9288,plain,
% 12.65/8.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2))),
% 12.65/8.70 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 12.65/8.70 tff(9289,plain,
% 12.65/8.70 (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9288, 579, 9285])).
% 12.65/8.70 tff(9290,plain,
% 12.65/8.70 (((~![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))))),
% 12.65/8.70 inference(rewrite,[status(thm)],[])).
% 12.65/8.70 tff(9291,plain,
% 12.65/8.70 ((~![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))))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9292,plain,
% 12.65/8.70 ((~![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)))),
% 12.65/8.70 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 12.65/8.70 tff(9293,plain,
% 12.65/8.70 (![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9292, 7085, 1427])).
% 12.65/8.70 tff(9294,plain,
% 12.65/8.70 (((~![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)))),
% 12.65/8.70 inference(rewrite,[status(thm)],[])).
% 12.65/8.70 tff(9295,plain,
% 12.65/8.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9296,plain,
% 12.65/8.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2))),
% 12.65/8.70 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 12.65/8.70 tff(9297,plain,
% 12.65/8.70 (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9296, 579, 9293])).
% 12.65/8.70 tff(9298,plain,
% 12.65/8.70 (((~![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))))),
% 12.65/8.70 inference(rewrite,[status(thm)],[])).
% 12.65/8.70 tff(9299,plain,
% 12.65/8.70 ((~![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))))),
% 12.65/8.70 inference(quant_inst,[status(thm)],[])).
% 12.65/8.70 tff(9300,plain,
% 12.65/8.70 ((~![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)))),
% 12.65/8.70 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 12.65/8.70 tff(9301,plain,
% 12.65/8.70 (![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))),
% 12.65/8.70 inference(unit_resolution,[status(thm)],[9300, 1448, 9262])).
% 12.65/8.70 tff(9302,plain,
% 12.65/8.70 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9303,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9304,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9303, 9302])).
% 12.65/8.71 tff(9305,plain,
% 12.65/8.71 (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9304, 579, 9301])).
% 12.65/8.71 tff(9306,plain,
% 12.65/8.71 (((~![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))))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9307,plain,
% 12.65/8.71 ((~![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))))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9308,plain,
% 12.65/8.71 ((~![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)))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 12.65/8.71 tff(9309,plain,
% 12.65/8.71 ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9308, 1832])).
% 12.65/8.71 tff(9310,plain,
% 12.65/8.71 (![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9309, 9233])).
% 12.65/8.71 tff(9311,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9312,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9313,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9312, 9311])).
% 12.65/8.71 tff(9314,plain,
% 12.65/8.71 (v130(constB29, bitIndex2) <=> b011(bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9313, 579, 9310])).
% 12.65/8.71 tff(9315,plain,
% 12.65/8.71 ((~(v130(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB29, bitIndex2)) | b011(bitIndex2)),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9316,plain,
% 12.65/8.71 ((~(v130(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB29, bitIndex2))),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9315, 1844])).
% 12.65/8.71 tff(9317,plain,
% 12.65/8.71 (~v130(constB29, bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9316, 9314])).
% 12.65/8.71 tff(9318,plain,
% 12.65/8.71 ((~(v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2))) | (~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9319,plain,
% 12.65/8.71 (~v127(constB29, bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9318, 9317, 9305])).
% 12.65/8.71 tff(9320,plain,
% 12.65/8.71 ((~(v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2))) | (~v129(constB30, bitIndex2)) | v127(constB29, bitIndex2)),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9321,plain,
% 12.65/8.71 (~v129(constB30, bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9320, 9319, 9297])).
% 12.65/8.71 tff(9322,plain,
% 12.65/8.71 ((~(v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2)),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9323,plain,
% 12.65/8.71 (~v90(constB30, bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9322, 9321, 9289])).
% 12.65/8.71 tff(9324,plain,
% 12.65/8.71 ((~(v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2))) | (~v90(constB31, bitIndex2)) | v90(constB30, bitIndex2)),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9325,plain,
% 12.65/8.71 (~v90(constB31, bitIndex2)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9324, 9323, 7082])).
% 12.65/8.71 tff(9326,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9327,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9328,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9327, 9326])).
% 12.65/8.71 tff(9329,plain,
% 12.65/8.71 (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9328, 1275, 7078])).
% 12.65/8.71 tff(9330,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9331,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9332,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9331, 9330])).
% 12.65/8.71 tff(9333,plain,
% 12.65/8.71 (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9332, 1275, 9285])).
% 12.65/8.71 tff(9334,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9335,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9336,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 12.65/8.71 tff(9337,plain,
% 12.65/8.71 (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9336, 1275, 9293])).
% 12.65/8.71 tff(9338,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9339,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9340,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 12.65/8.71 tff(9341,plain,
% 12.65/8.71 (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9340, 1275, 9301])).
% 12.65/8.71 tff(9342,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9343,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9344,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 12.65/8.71 tff(9345,plain,
% 12.65/8.71 (v130(constB29, bitIndex0) <=> b011(bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9344, 1275, 9310])).
% 12.65/8.71 tff(9346,plain,
% 12.65/8.71 ((~(v130(constB29, bitIndex0) <=> b011(bitIndex0))) | v130(constB29, bitIndex0) | (~b011(bitIndex0))),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9347,plain,
% 12.65/8.71 ((~(v130(constB29, bitIndex0) <=> b011(bitIndex0))) | v130(constB29, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9346, 1878])).
% 12.65/8.71 tff(9348,plain,
% 12.65/8.71 (v130(constB29, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9347, 9345])).
% 12.65/8.71 tff(9349,plain,
% 12.65/8.71 ((~(v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0))) | v127(constB29, bitIndex0) | (~v130(constB29, bitIndex0))),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9350,plain,
% 12.65/8.71 (v127(constB29, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9349, 9348, 9341])).
% 12.65/8.71 tff(9351,plain,
% 12.65/8.71 ((~(v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0))) | v129(constB30, bitIndex0) | (~v127(constB29, bitIndex0))),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9352,plain,
% 12.65/8.71 (v129(constB30, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9351, 9350, 9337])).
% 12.65/8.71 tff(9353,plain,
% 12.65/8.71 ((~(v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0))),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9354,plain,
% 12.65/8.71 (v90(constB30, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9353, 9352, 9333])).
% 12.65/8.71 tff(9355,plain,
% 12.65/8.71 ((~(v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0))) | v90(constB31, bitIndex0) | (~v90(constB30, bitIndex0))),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9356,plain,
% 12.65/8.71 (v90(constB31, bitIndex0)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9355, 9354, 9329])).
% 12.65/8.71 tff(9357,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9358,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9359,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 12.65/8.71 tff(9360,plain,
% 12.65/8.71 (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9359, 1288, 7078])).
% 12.65/8.71 tff(9361,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9362,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9363,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 12.65/8.71 tff(9364,plain,
% 12.65/8.71 (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9363, 1288, 9285])).
% 12.65/8.71 tff(9365,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9366,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9367,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 12.65/8.71 tff(9368,plain,
% 12.65/8.71 (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9367, 1288, 9293])).
% 12.65/8.71 tff(9369,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9370,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9371,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 12.65/8.71 tff(9372,plain,
% 12.65/8.71 (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9371, 1288, 9301])).
% 12.65/8.71 tff(9373,plain,
% 12.65/8.71 (((~![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)))),
% 12.65/8.71 inference(rewrite,[status(thm)],[])).
% 12.65/8.71 tff(9374,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 12.65/8.71 inference(quant_inst,[status(thm)],[])).
% 12.65/8.71 tff(9375,plain,
% 12.65/8.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1))),
% 12.65/8.71 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 12.65/8.71 tff(9376,plain,
% 12.65/8.71 (v130(constB29, bitIndex1) <=> b011(bitIndex1)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9375, 1288, 9310])).
% 12.65/8.71 tff(9377,plain,
% 12.65/8.71 ((~(v130(constB29, bitIndex1) <=> b011(bitIndex1))) | v130(constB29, bitIndex1) | (~b011(bitIndex1))),
% 12.65/8.71 inference(tautology,[status(thm)],[])).
% 12.65/8.71 tff(9378,plain,
% 12.65/8.71 ((~(v130(constB29, bitIndex1) <=> b011(bitIndex1))) | v130(constB29, bitIndex1)),
% 12.65/8.71 inference(unit_resolution,[status(thm)],[9377, 1912])).
% 12.65/8.71 tff(9379,plain,
% 12.71/8.72 (v130(constB29, bitIndex1)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9378, 9376])).
% 12.71/8.72 tff(9380,plain,
% 12.71/8.72 ((~(v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1))) | v127(constB29, bitIndex1) | (~v130(constB29, bitIndex1))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9381,plain,
% 12.71/8.72 (v127(constB29, bitIndex1)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9380, 9379, 9372])).
% 12.71/8.72 tff(9382,plain,
% 12.71/8.72 ((~(v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1))) | v129(constB30, bitIndex1) | (~v127(constB29, bitIndex1))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9383,plain,
% 12.71/8.72 (v129(constB30, bitIndex1)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9382, 9381, 9368])).
% 12.71/8.72 tff(9384,plain,
% 12.71/8.72 ((~(v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9385,plain,
% 12.71/8.72 (v90(constB30, bitIndex1)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9384, 9383, 9364])).
% 12.71/8.72 tff(9386,plain,
% 12.71/8.72 ((~(v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1))) | v90(constB31, bitIndex1) | (~v90(constB30, bitIndex1))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9387,plain,
% 12.71/8.72 (v90(constB31, bitIndex1)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9386, 9385, 9360])).
% 12.71/8.72 tff(9388,plain,
% 12.71/8.72 ((~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))) | v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9389,plain,
% 12.71/8.72 (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9388, 9387, 9356, 9325])).
% 12.71/8.72 tff(9390,plain,
% 12.71/8.72 ((~(v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) | v122(constB31) | (v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9391,plain,
% 12.71/8.72 (v122(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9390, 9389, 7050])).
% 12.71/8.72 tff(9392,plain,
% 12.71/8.72 ((v117(constB31) | v122(constB31)) | (~v122(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9393,plain,
% 12.71/8.72 (v117(constB31) | v122(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9392, 9391])).
% 12.71/8.72 tff(9394,plain,
% 12.71/8.72 ((~(v116(constB31) <=> (v117(constB31) | v122(constB31)))) | v116(constB31) | (~(v117(constB31) | v122(constB31)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9395,plain,
% 12.71/8.72 (v116(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9394, 9393, 7043])).
% 12.71/8.72 tff(9396,plain,
% 12.71/8.72 ((v116(constB31) | v123(constB31)) | (~v116(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9397,plain,
% 12.71/8.72 (v116(constB31) | v123(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9396, 9395])).
% 12.71/8.72 tff(9398,plain,
% 12.71/8.72 ((~(v115(constB31) <=> (v116(constB31) | v123(constB31)))) | v115(constB31) | (~(v116(constB31) | v123(constB31)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9399,plain,
% 12.71/8.72 (v115(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9398, 9397, 7041])).
% 12.71/8.72 tff(9400,plain,
% 12.71/8.72 ((v115(constB31) | v124(constB31)) | (~v115(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9401,plain,
% 12.71/8.72 (v115(constB31) | v124(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9400, 9399])).
% 12.71/8.72 tff(9402,plain,
% 12.71/8.72 ((~(v114(constB31) <=> (v115(constB31) | v124(constB31)))) | v114(constB31) | (~(v115(constB31) | v124(constB31)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9403,plain,
% 12.71/8.72 (v114(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9402, 9401, 7039])).
% 12.71/8.72 tff(9404,plain,
% 12.71/8.72 ((v114(constB31) | v125(constB31)) | (~v114(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9405,plain,
% 12.71/8.72 (v114(constB31) | v125(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9404, 9403])).
% 12.71/8.72 tff(9406,plain,
% 12.71/8.72 ((~(v113(constB31) <=> (v114(constB31) | v125(constB31)))) | v113(constB31) | (~(v114(constB31) | v125(constB31)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9407,plain,
% 12.71/8.72 (v113(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9406, 9405, 7037])).
% 12.71/8.72 tff(9408,plain,
% 12.71/8.72 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB31)) <=> v111(constB31))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9409,plain,
% 12.71/8.72 ((~v126(constB31)) <=> v111(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9408, 1345])).
% 12.71/8.72 tff(9410,plain,
% 12.71/8.72 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9411,plain,
% 12.71/8.72 (v111(constB31) <=> v26(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9410, 1357])).
% 12.71/8.72 tff(9412,plain,
% 12.71/8.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9413,plain,
% 12.71/8.72 (~v26(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9412, 1369])).
% 12.71/8.72 tff(9414,plain,
% 12.71/8.72 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9415,plain,
% 12.71/8.72 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9414, 9413])).
% 12.71/8.72 tff(9416,plain,
% 12.71/8.72 (~v111(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9415, 9411])).
% 12.71/8.72 tff(9417,plain,
% 12.71/8.72 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31) | v111(constB31)),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9418,plain,
% 12.71/8.72 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9417, 9416])).
% 12.71/8.72 tff(9419,plain,
% 12.71/8.72 (v126(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9418, 9409])).
% 12.71/8.72 tff(9420,plain,
% 12.71/8.72 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31)) | (~v126(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9421,plain,
% 12.71/8.72 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9420, 9419])).
% 12.71/8.72 tff(9422,plain,
% 12.71/8.72 (~((~v113(constB31)) | (~v126(constB31)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9421, 9407])).
% 12.71/8.72 tff(9423,plain,
% 12.71/8.72 ((~(v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))) | v112(constB31) | ((~v113(constB31)) | (~v126(constB31)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9424,plain,
% 12.71/8.72 (v112(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9423, 9422, 7035])).
% 12.71/8.72 tff(9425,plain,
% 12.71/8.72 ((v111(constB31) | v112(constB31)) | (~v112(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9426,plain,
% 12.71/8.72 (v111(constB31) | v112(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9425, 9424])).
% 12.71/8.72 tff(9427,plain,
% 12.71/8.72 ((~(v108(constB31) <=> (v111(constB31) | v112(constB31)))) | v108(constB31) | (~(v111(constB31) | v112(constB31)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9428,plain,
% 12.71/8.72 (v108(constB31)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9427, 9426, 7033])).
% 12.71/8.72 tff(9429,plain,
% 12.71/8.72 ((~(v110(constB32) <=> v108(constB31))) | v110(constB32) | (~v108(constB31))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9430,plain,
% 12.71/8.72 (v110(constB32)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9429, 9428, 7031])).
% 12.71/8.72 tff(9431,plain,
% 12.71/8.72 ((~((~v101(constB32)) | (~v110(constB32)))) | (~v101(constB32)) | (~v110(constB32))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9432,plain,
% 12.71/8.72 (~((~v101(constB32)) | (~v110(constB32)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9431, 9430, 7027])).
% 12.71/8.72 tff(9433,plain,
% 12.71/8.72 ((~(v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))) | v100(constB32) | ((~v101(constB32)) | (~v110(constB32)))),
% 12.71/8.72 inference(tautology,[status(thm)],[])).
% 12.71/8.72 tff(9434,plain,
% 12.71/8.72 (v100(constB32)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9433, 9432, 6996])).
% 12.71/8.72 tff(9435,plain,
% 12.71/8.72 (((~![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))))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9436,plain,
% 12.71/8.72 ((~![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))))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9437,plain,
% 12.71/8.72 ((~![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)))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9436, 9435])).
% 12.71/8.72 tff(9438,plain,
% 12.71/8.72 ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9437, 1405])).
% 12.71/8.72 tff(9439,plain,
% 12.71/8.72 (![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9438, 9434])).
% 12.71/8.72 tff(9440,plain,
% 12.71/8.72 (((~![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)))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9441,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9442,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 12.71/8.72 tff(9443,plain,
% 12.71/8.72 (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9442, 579, 9439])).
% 12.71/8.72 tff(9444,plain,
% 12.71/8.72 (((~![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))))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9445,plain,
% 12.71/8.72 ((~![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))))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9446,plain,
% 12.71/8.72 ((~![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)))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 12.71/8.72 tff(9447,plain,
% 12.71/8.72 (![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9446, 6992, 1427])).
% 12.71/8.72 tff(9448,plain,
% 12.71/8.72 (((~![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)))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9449,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9450,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9449, 9448])).
% 12.71/8.72 tff(9451,plain,
% 12.71/8.72 (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9450, 579, 9447])).
% 12.71/8.72 tff(9452,plain,
% 12.71/8.72 (((~![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))))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9453,plain,
% 12.71/8.72 ((~![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))))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9454,plain,
% 12.71/8.72 ((~![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)))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 12.71/8.72 tff(9455,plain,
% 12.71/8.72 (![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9454, 1448, 9416])).
% 12.71/8.72 tff(9456,plain,
% 12.71/8.72 (((~![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)))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9457,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9458,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 12.71/8.72 tff(9459,plain,
% 12.71/8.72 (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9458, 579, 9455])).
% 12.71/8.72 tff(9460,plain,
% 12.71/8.72 (((~![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))))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9461,plain,
% 12.71/8.72 ((~![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))))),
% 12.71/8.72 inference(quant_inst,[status(thm)],[])).
% 12.71/8.72 tff(9462,plain,
% 12.71/8.72 ((~![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)))),
% 12.71/8.72 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 12.71/8.72 tff(9463,plain,
% 12.71/8.72 ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9462, 2008])).
% 12.71/8.72 tff(9464,plain,
% 12.71/8.72 (![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 12.71/8.72 inference(unit_resolution,[status(thm)],[9463, 9391])).
% 12.71/8.72 tff(9465,plain,
% 12.71/8.72 (((~![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)))),
% 12.71/8.72 inference(rewrite,[status(thm)],[])).
% 12.71/8.72 tff(9466,plain,
% 12.71/8.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9467,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 12.71/8.73 tff(9468,plain,
% 12.71/8.73 (v130(constB31, bitIndex2) <=> b100(bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9467, 579, 9464])).
% 12.71/8.73 tff(9469,plain,
% 12.71/8.73 ((~(v130(constB31, bitIndex2) <=> b100(bitIndex2))) | v130(constB31, bitIndex2) | (~b100(bitIndex2))),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9470,plain,
% 12.71/8.73 ((~(v130(constB31, bitIndex2) <=> b100(bitIndex2))) | v130(constB31, bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9469, 2020])).
% 12.71/8.73 tff(9471,plain,
% 12.71/8.73 (v130(constB31, bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9470, 9468])).
% 12.71/8.73 tff(9472,plain,
% 12.71/8.73 ((~(v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2))) | v127(constB31, bitIndex2) | (~v130(constB31, bitIndex2))),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9473,plain,
% 12.71/8.73 (v127(constB31, bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9472, 9471, 9459])).
% 12.71/8.73 tff(9474,plain,
% 12.71/8.73 ((~(v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2))) | v129(constB32, bitIndex2) | (~v127(constB31, bitIndex2))),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9475,plain,
% 12.71/8.73 (v129(constB32, bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9474, 9473, 9451])).
% 12.71/8.73 tff(9476,plain,
% 12.71/8.73 ((~(v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2))),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9477,plain,
% 12.71/8.73 (v90(constB32, bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9476, 9475, 9443])).
% 12.71/8.73 tff(9478,plain,
% 12.71/8.73 ((~(v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2))) | v90(constB33, bitIndex2) | (~v90(constB32, bitIndex2))),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9479,plain,
% 12.71/8.73 (v90(constB33, bitIndex2)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9478, 9477, 6989])).
% 12.71/8.73 tff(9480,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9481,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9482,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 12.71/8.73 tff(9483,plain,
% 12.71/8.73 (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9482, 1275, 6985])).
% 12.71/8.73 tff(9484,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9485,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9486,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 12.71/8.73 tff(9487,plain,
% 12.71/8.73 (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9486, 1275, 9439])).
% 12.71/8.73 tff(9488,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9489,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9490,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9489, 9488])).
% 12.71/8.73 tff(9491,plain,
% 12.71/8.73 (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9490, 1275, 9447])).
% 12.71/8.73 tff(9492,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9493,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9494,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 12.71/8.73 tff(9495,plain,
% 12.71/8.73 (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9494, 1275, 9455])).
% 12.71/8.73 tff(9496,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9497,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9498,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9497, 9496])).
% 12.71/8.73 tff(9499,plain,
% 12.71/8.73 (v130(constB31, bitIndex0) <=> b100(bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9498, 1275, 9464])).
% 12.71/8.73 tff(9500,plain,
% 12.71/8.73 ((~(v130(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB31, bitIndex0)) | b100(bitIndex0)),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9501,plain,
% 12.71/8.73 ((~(v130(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB31, bitIndex0))),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9500, 2054])).
% 12.71/8.73 tff(9502,plain,
% 12.71/8.73 (~v130(constB31, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9501, 9499])).
% 12.71/8.73 tff(9503,plain,
% 12.71/8.73 ((~(v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0))) | (~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9504,plain,
% 12.71/8.73 (~v127(constB31, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9503, 9502, 9495])).
% 12.71/8.73 tff(9505,plain,
% 12.71/8.73 ((~(v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0))) | (~v129(constB32, bitIndex0)) | v127(constB31, bitIndex0)),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9506,plain,
% 12.71/8.73 (~v129(constB32, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9505, 9504, 9491])).
% 12.71/8.73 tff(9507,plain,
% 12.71/8.73 ((~(v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0)),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9508,plain,
% 12.71/8.73 (~v90(constB32, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9507, 9506, 9487])).
% 12.71/8.73 tff(9509,plain,
% 12.71/8.73 ((~(v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0))) | (~v90(constB33, bitIndex0)) | v90(constB32, bitIndex0)),
% 12.71/8.73 inference(tautology,[status(thm)],[])).
% 12.71/8.73 tff(9510,plain,
% 12.71/8.73 (~v90(constB33, bitIndex0)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9509, 9508, 9483])).
% 12.71/8.73 tff(9511,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9512,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9513,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 12.71/8.73 tff(9514,plain,
% 12.71/8.73 (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9513, 1288, 6985])).
% 12.71/8.73 tff(9515,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9516,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9517,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 12.71/8.73 tff(9518,plain,
% 12.71/8.73 (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9517, 1288, 9439])).
% 12.71/8.73 tff(9519,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9520,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9521,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1))),
% 12.71/8.73 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 12.71/8.73 tff(9522,plain,
% 12.71/8.73 (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)),
% 12.71/8.73 inference(unit_resolution,[status(thm)],[9521, 1288, 9447])).
% 12.71/8.73 tff(9523,plain,
% 12.71/8.73 (((~![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)))),
% 12.71/8.73 inference(rewrite,[status(thm)],[])).
% 12.71/8.73 tff(9524,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))),
% 12.71/8.73 inference(quant_inst,[status(thm)],[])).
% 12.71/8.73 tff(9525,plain,
% 12.71/8.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 12.71/8.74 tff(9526,plain,
% 12.71/8.74 (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9525, 1288, 9455])).
% 12.71/8.74 tff(9527,plain,
% 12.71/8.74 (((~![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)))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9528,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9529,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 12.71/8.74 tff(9530,plain,
% 12.71/8.74 (v130(constB31, bitIndex1) <=> b100(bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9529, 1288, 9464])).
% 12.71/8.74 tff(9531,plain,
% 12.71/8.74 ((~(v130(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB31, bitIndex1)) | b100(bitIndex1)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9532,plain,
% 12.71/8.74 ((~(v130(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB31, bitIndex1))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9531, 2088])).
% 12.71/8.74 tff(9533,plain,
% 12.71/8.74 (~v130(constB31, bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9532, 9530])).
% 12.71/8.74 tff(9534,plain,
% 12.71/8.74 ((~(v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1))) | (~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9535,plain,
% 12.71/8.74 (~v127(constB31, bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9534, 9533, 9526])).
% 12.71/8.74 tff(9536,plain,
% 12.71/8.74 ((~(v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1))) | (~v129(constB32, bitIndex1)) | v127(constB31, bitIndex1)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9537,plain,
% 12.71/8.74 (~v129(constB32, bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9536, 9535, 9522])).
% 12.71/8.74 tff(9538,plain,
% 12.71/8.74 ((~(v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9539,plain,
% 12.71/8.74 (~v90(constB32, bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9538, 9537, 9518])).
% 12.71/8.74 tff(9540,plain,
% 12.71/8.74 ((~(v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1))) | (~v90(constB33, bitIndex1)) | v90(constB32, bitIndex1)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9541,plain,
% 12.71/8.74 (~v90(constB33, bitIndex1)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9540, 9539, 9514])).
% 12.71/8.74 tff(9542,plain,
% 12.71/8.74 ((~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))) | (~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9543,plain,
% 12.71/8.74 (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9542, 9541, 9510, 9479])).
% 12.71/8.74 tff(9544,plain,
% 12.71/8.74 ((~(v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))) | v123(constB33) | ((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9545,plain,
% 12.71/8.74 (v123(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9544, 9543, 6957])).
% 12.71/8.74 tff(9546,plain,
% 12.71/8.74 ((v116(constB33) | v123(constB33)) | (~v123(constB33))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9547,plain,
% 12.71/8.74 (v116(constB33) | v123(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9546, 9545])).
% 12.71/8.74 tff(9548,plain,
% 12.71/8.74 ((~(v115(constB33) <=> (v116(constB33) | v123(constB33)))) | v115(constB33) | (~(v116(constB33) | v123(constB33)))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9549,plain,
% 12.71/8.74 (v115(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9548, 9547, 6950])).
% 12.71/8.74 tff(9550,plain,
% 12.71/8.74 ((v115(constB33) | v124(constB33)) | (~v115(constB33))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9551,plain,
% 12.71/8.74 (v115(constB33) | v124(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9550, 9549])).
% 12.71/8.74 tff(9552,plain,
% 12.71/8.74 ((~(v114(constB33) <=> (v115(constB33) | v124(constB33)))) | v114(constB33) | (~(v115(constB33) | v124(constB33)))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9553,plain,
% 12.71/8.74 (v114(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9552, 9551, 6948])).
% 12.71/8.74 tff(9554,plain,
% 12.71/8.74 ((v114(constB33) | v125(constB33)) | (~v114(constB33))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9555,plain,
% 12.71/8.74 (v114(constB33) | v125(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9554, 9553])).
% 12.71/8.74 tff(9556,plain,
% 12.71/8.74 ((~(v113(constB33) <=> (v114(constB33) | v125(constB33)))) | v113(constB33) | (~(v114(constB33) | v125(constB33)))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9557,plain,
% 12.71/8.74 (v113(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9556, 9555, 6946])).
% 12.71/8.74 tff(9558,plain,
% 12.71/8.74 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB33)) <=> v111(constB33))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9559,plain,
% 12.71/8.74 ((~v126(constB33)) <=> v111(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9558, 1345])).
% 12.71/8.74 tff(9560,plain,
% 12.71/8.74 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9561,plain,
% 12.71/8.74 (v111(constB33) <=> v26(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9560, 1357])).
% 12.71/8.74 tff(9562,plain,
% 12.71/8.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9563,plain,
% 12.71/8.74 (~v26(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9562, 1369])).
% 12.71/8.74 tff(9564,plain,
% 12.71/8.74 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9565,plain,
% 12.71/8.74 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9564, 9563])).
% 12.71/8.74 tff(9566,plain,
% 12.71/8.74 (~v111(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9565, 9561])).
% 12.71/8.74 tff(9567,plain,
% 12.71/8.74 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33) | v111(constB33)),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9568,plain,
% 12.71/8.74 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9567, 9566])).
% 12.71/8.74 tff(9569,plain,
% 12.71/8.74 (v126(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9568, 9559])).
% 12.71/8.74 tff(9570,plain,
% 12.71/8.74 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33)) | (~v126(constB33))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9571,plain,
% 12.71/8.74 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9570, 9569])).
% 12.71/8.74 tff(9572,plain,
% 12.71/8.74 (~((~v113(constB33)) | (~v126(constB33)))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9571, 9557])).
% 12.71/8.74 tff(9573,plain,
% 12.71/8.74 ((~(v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))) | v112(constB33) | ((~v113(constB33)) | (~v126(constB33)))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9574,plain,
% 12.71/8.74 (v112(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9573, 9572, 6944])).
% 12.71/8.74 tff(9575,plain,
% 12.71/8.74 ((v111(constB33) | v112(constB33)) | (~v112(constB33))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9576,plain,
% 12.71/8.74 (v111(constB33) | v112(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9575, 9574])).
% 12.71/8.74 tff(9577,plain,
% 12.71/8.74 ((~(v108(constB33) <=> (v111(constB33) | v112(constB33)))) | v108(constB33) | (~(v111(constB33) | v112(constB33)))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9578,plain,
% 12.71/8.74 (v108(constB33)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9577, 9576, 6942])).
% 12.71/8.74 tff(9579,plain,
% 12.71/8.74 ((~(v110(constB34) <=> v108(constB33))) | v110(constB34) | (~v108(constB33))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9580,plain,
% 12.71/8.74 (v110(constB34)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9579, 9578, 6940])).
% 12.71/8.74 tff(9581,plain,
% 12.71/8.74 ((~((~v101(constB34)) | (~v110(constB34)))) | (~v101(constB34)) | (~v110(constB34))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9582,plain,
% 12.71/8.74 (~((~v101(constB34)) | (~v110(constB34)))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9581, 9580, 6936])).
% 12.71/8.74 tff(9583,plain,
% 12.71/8.74 ((~(v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))) | v100(constB34) | ((~v101(constB34)) | (~v110(constB34)))),
% 12.71/8.74 inference(tautology,[status(thm)],[])).
% 12.71/8.74 tff(9584,plain,
% 12.71/8.74 (v100(constB34)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9583, 9582, 6905])).
% 12.71/8.74 tff(9585,plain,
% 12.71/8.74 (((~![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))))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9586,plain,
% 12.71/8.74 ((~![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))))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9587,plain,
% 12.71/8.74 ((~![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)))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9586, 9585])).
% 12.71/8.74 tff(9588,plain,
% 12.71/8.74 ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9587, 1405])).
% 12.71/8.74 tff(9589,plain,
% 12.71/8.74 (![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9588, 9584])).
% 12.71/8.74 tff(9590,plain,
% 12.71/8.74 (((~![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)))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9591,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9592,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9591, 9590])).
% 12.71/8.74 tff(9593,plain,
% 12.71/8.74 (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9592, 579, 9589])).
% 12.71/8.74 tff(9594,plain,
% 12.71/8.74 (((~![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))))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9595,plain,
% 12.71/8.74 ((~![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))))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9596,plain,
% 12.71/8.74 ((~![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)))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 12.71/8.74 tff(9597,plain,
% 12.71/8.74 (![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9596, 6901, 1427])).
% 12.71/8.74 tff(9598,plain,
% 12.71/8.74 (((~![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)))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9599,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9600,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 12.71/8.74 tff(9601,plain,
% 12.71/8.74 (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9600, 579, 9597])).
% 12.71/8.74 tff(9602,plain,
% 12.71/8.74 (((~![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))))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9603,plain,
% 12.71/8.74 ((~![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))))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9604,plain,
% 12.71/8.74 ((~![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)))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 12.71/8.74 tff(9605,plain,
% 12.71/8.74 (![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9604, 1448, 9566])).
% 12.71/8.74 tff(9606,plain,
% 12.71/8.74 (((~![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)))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9607,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9608,plain,
% 12.71/8.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2))),
% 12.71/8.74 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 12.71/8.74 tff(9609,plain,
% 12.71/8.74 (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)),
% 12.71/8.74 inference(unit_resolution,[status(thm)],[9608, 579, 9605])).
% 12.71/8.74 tff(9610,plain,
% 12.71/8.74 (((~![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))))),
% 12.71/8.74 inference(rewrite,[status(thm)],[])).
% 12.71/8.74 tff(9611,plain,
% 12.71/8.74 ((~![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))))),
% 12.71/8.74 inference(quant_inst,[status(thm)],[])).
% 12.71/8.74 tff(9612,plain,
% 12.71/8.74 ((~![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)))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 12.71/8.75 tff(9613,plain,
% 12.71/8.75 ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9612, 2180])).
% 12.71/8.75 tff(9614,plain,
% 12.71/8.75 (![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9613, 9545])).
% 12.71/8.75 tff(9615,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9616,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b101(bitIndex2)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9617,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b101(bitIndex2))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 12.71/8.75 tff(9618,plain,
% 12.71/8.75 (v130(constB33, bitIndex2) <=> b101(bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9617, 579, 9614])).
% 12.71/8.75 tff(9619,plain,
% 12.71/8.75 ((~(v130(constB33, bitIndex2) <=> b101(bitIndex2))) | v130(constB33, bitIndex2) | (~b101(bitIndex2))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9620,plain,
% 12.71/8.75 ((~(v130(constB33, bitIndex2) <=> b101(bitIndex2))) | v130(constB33, bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9619, 2192])).
% 12.71/8.75 tff(9621,plain,
% 12.71/8.75 (v130(constB33, bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9620, 9618])).
% 12.71/8.75 tff(9622,plain,
% 12.71/8.75 ((~(v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2))) | v127(constB33, bitIndex2) | (~v130(constB33, bitIndex2))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9623,plain,
% 12.71/8.75 (v127(constB33, bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9622, 9621, 9609])).
% 12.71/8.75 tff(9624,plain,
% 12.71/8.75 ((~(v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2))) | v129(constB34, bitIndex2) | (~v127(constB33, bitIndex2))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9625,plain,
% 12.71/8.75 (v129(constB34, bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9624, 9623, 9601])).
% 12.71/8.75 tff(9626,plain,
% 12.71/8.75 ((~(v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9627,plain,
% 12.71/8.75 (v90(constB34, bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9626, 9625, 9593])).
% 12.71/8.75 tff(9628,plain,
% 12.71/8.75 ((~(v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2))) | v90(constB35, bitIndex2) | (~v90(constB34, bitIndex2))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9629,plain,
% 12.71/8.75 (v90(constB35, bitIndex2)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9628, 9627, 6898])).
% 12.71/8.75 tff(9630,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9631,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9632,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 12.71/8.75 tff(9633,plain,
% 12.71/8.75 (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9632, 1275, 6894])).
% 12.71/8.75 tff(9634,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9635,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9636,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 12.71/8.75 tff(9637,plain,
% 12.71/8.75 (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9636, 1275, 9589])).
% 12.71/8.75 tff(9638,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9639,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9640,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 12.71/8.75 tff(9641,plain,
% 12.71/8.75 (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9640, 1275, 9597])).
% 12.71/8.75 tff(9642,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9643,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9644,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9643, 9642])).
% 12.71/8.75 tff(9645,plain,
% 12.71/8.75 (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9644, 1275, 9605])).
% 12.71/8.75 tff(9646,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9647,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b101(bitIndex0)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9648,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b101(bitIndex0))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 12.71/8.75 tff(9649,plain,
% 12.71/8.75 (v130(constB33, bitIndex0) <=> b101(bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9648, 1275, 9614])).
% 12.71/8.75 tff(9650,plain,
% 12.71/8.75 ((~(v130(constB33, bitIndex0) <=> b101(bitIndex0))) | v130(constB33, bitIndex0) | (~b101(bitIndex0))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9651,plain,
% 12.71/8.75 ((~(v130(constB33, bitIndex0) <=> b101(bitIndex0))) | v130(constB33, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9650, 2351])).
% 12.71/8.75 tff(9652,plain,
% 12.71/8.75 (v130(constB33, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9651, 9649])).
% 12.71/8.75 tff(9653,plain,
% 12.71/8.75 ((~(v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0))) | v127(constB33, bitIndex0) | (~v130(constB33, bitIndex0))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9654,plain,
% 12.71/8.75 (v127(constB33, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9653, 9652, 9645])).
% 12.71/8.75 tff(9655,plain,
% 12.71/8.75 ((~(v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0))) | v129(constB34, bitIndex0) | (~v127(constB33, bitIndex0))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9656,plain,
% 12.71/8.75 (v129(constB34, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9655, 9654, 9641])).
% 12.71/8.75 tff(9657,plain,
% 12.71/8.75 ((~(v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9658,plain,
% 12.71/8.75 (v90(constB34, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9657, 9656, 9637])).
% 12.71/8.75 tff(9659,plain,
% 12.71/8.75 ((~(v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0))) | v90(constB35, bitIndex0) | (~v90(constB34, bitIndex0))),
% 12.71/8.75 inference(tautology,[status(thm)],[])).
% 12.71/8.75 tff(9660,plain,
% 12.71/8.75 (v90(constB35, bitIndex0)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9659, 9658, 9633])).
% 12.71/8.75 tff(9661,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9662,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9663,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 12.71/8.75 tff(9664,plain,
% 12.71/8.75 (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9663, 1288, 6894])).
% 12.71/8.75 tff(9665,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9666,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9667,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 12.71/8.75 tff(9668,plain,
% 12.71/8.75 (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)),
% 12.71/8.75 inference(unit_resolution,[status(thm)],[9667, 1288, 9589])).
% 12.71/8.75 tff(9669,plain,
% 12.71/8.75 (((~![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)))),
% 12.71/8.75 inference(rewrite,[status(thm)],[])).
% 12.71/8.75 tff(9670,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))),
% 12.71/8.75 inference(quant_inst,[status(thm)],[])).
% 12.71/8.75 tff(9671,plain,
% 12.71/8.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1))),
% 12.71/8.75 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 12.71/8.76 tff(9672,plain,
% 12.71/8.76 (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9671, 1288, 9597])).
% 12.71/8.76 tff(9673,plain,
% 12.71/8.76 (((~![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)))),
% 12.71/8.76 inference(rewrite,[status(thm)],[])).
% 12.71/8.76 tff(9674,plain,
% 12.71/8.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))),
% 12.71/8.76 inference(quant_inst,[status(thm)],[])).
% 12.71/8.76 tff(9675,plain,
% 12.71/8.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1))),
% 12.71/8.76 inference(modus_ponens,[status(thm)],[9674, 9673])).
% 12.71/8.76 tff(9676,plain,
% 12.71/8.76 (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9675, 1288, 9605])).
% 12.71/8.76 tff(9677,plain,
% 12.71/8.76 (((~![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)))),
% 12.71/8.76 inference(rewrite,[status(thm)],[])).
% 12.71/8.76 tff(9678,plain,
% 12.71/8.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b101(bitIndex1)))),
% 12.71/8.76 inference(quant_inst,[status(thm)],[])).
% 12.71/8.76 tff(9679,plain,
% 12.71/8.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b101(bitIndex1))),
% 12.71/8.76 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 12.71/8.76 tff(9680,plain,
% 12.71/8.76 (v130(constB33, bitIndex1) <=> b101(bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9679, 1288, 9614])).
% 12.71/8.76 tff(9681,plain,
% 12.71/8.76 ((~(v130(constB33, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB33, bitIndex1)) | b101(bitIndex1)),
% 12.71/8.76 inference(tautology,[status(thm)],[])).
% 12.71/8.76 tff(9682,plain,
% 12.71/8.76 ((~(v130(constB33, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB33, bitIndex1))),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9681, 2391])).
% 12.71/8.76 tff(9683,plain,
% 12.71/8.76 (~v130(constB33, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9682, 9680])).
% 12.71/8.76 tff(9684,plain,
% 12.71/8.76 ((~(v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1))) | (~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 12.71/8.76 inference(tautology,[status(thm)],[])).
% 12.71/8.76 tff(9685,plain,
% 12.71/8.76 (~v127(constB33, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9684, 9683, 9676])).
% 12.71/8.76 tff(9686,plain,
% 12.71/8.76 ((~(v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1))) | (~v129(constB34, bitIndex1)) | v127(constB33, bitIndex1)),
% 12.71/8.76 inference(tautology,[status(thm)],[])).
% 12.71/8.76 tff(9687,plain,
% 12.71/8.76 (~v129(constB34, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9686, 9685, 9672])).
% 12.71/8.76 tff(9688,plain,
% 12.71/8.76 ((~(v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1)),
% 12.71/8.76 inference(tautology,[status(thm)],[])).
% 12.71/8.76 tff(9689,plain,
% 12.71/8.76 (~v90(constB34, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9688, 9687, 9668])).
% 12.71/8.76 tff(9690,plain,
% 12.71/8.76 ((~(v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1))) | (~v90(constB35, bitIndex1)) | v90(constB34, bitIndex1)),
% 12.71/8.76 inference(tautology,[status(thm)],[])).
% 12.71/8.76 tff(9691,plain,
% 12.71/8.76 (~v90(constB35, bitIndex1)),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9690, 9689, 9664])).
% 12.71/8.76 tff(9692,plain,
% 12.71/8.76 ((~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))) | (~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))),
% 12.71/8.76 inference(tautology,[status(thm)],[])).
% 12.71/8.76 tff(9693,plain,
% 12.71/8.76 (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))),
% 12.71/8.76 inference(unit_resolution,[status(thm)],[9692, 9691, 9660, 9629])).
% 12.71/8.77 tff(9694,plain,
% 12.71/8.77 ((~(v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) | v124(constB35) | ((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9695,plain,
% 12.71/8.77 (v124(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9694, 9693, 6866])).
% 12.71/8.77 tff(9696,plain,
% 12.71/8.77 ((v115(constB35) | v124(constB35)) | (~v124(constB35))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9697,plain,
% 12.71/8.77 (v115(constB35) | v124(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9696, 9695])).
% 12.71/8.77 tff(9698,plain,
% 12.71/8.77 ((~(v114(constB35) <=> (v115(constB35) | v124(constB35)))) | v114(constB35) | (~(v115(constB35) | v124(constB35)))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9699,plain,
% 12.71/8.77 (v114(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9698, 9697, 6859])).
% 12.71/8.77 tff(9700,plain,
% 12.71/8.77 ((v114(constB35) | v125(constB35)) | (~v114(constB35))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9701,plain,
% 12.71/8.77 (v114(constB35) | v125(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9700, 9699])).
% 12.71/8.77 tff(9702,plain,
% 12.71/8.77 ((~(v113(constB35) <=> (v114(constB35) | v125(constB35)))) | v113(constB35) | (~(v114(constB35) | v125(constB35)))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9703,plain,
% 12.71/8.77 (v113(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9702, 9701, 6857])).
% 12.71/8.77 tff(9704,plain,
% 12.71/8.77 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB35)) <=> v111(constB35))),
% 12.71/8.77 inference(quant_inst,[status(thm)],[])).
% 12.71/8.77 tff(9705,plain,
% 12.71/8.77 ((~v126(constB35)) <=> v111(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9704, 1345])).
% 12.71/8.77 tff(9706,plain,
% 12.71/8.77 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 12.71/8.77 inference(quant_inst,[status(thm)],[])).
% 12.71/8.77 tff(9707,plain,
% 12.71/8.77 (v111(constB35) <=> v26(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9706, 1357])).
% 12.71/8.77 tff(9708,plain,
% 12.71/8.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 12.71/8.77 inference(quant_inst,[status(thm)],[])).
% 12.71/8.77 tff(9709,plain,
% 12.71/8.77 (~v26(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9708, 1369])).
% 12.71/8.77 tff(9710,plain,
% 12.71/8.77 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9711,plain,
% 12.71/8.77 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9710, 9709])).
% 12.71/8.77 tff(9712,plain,
% 12.71/8.77 (~v111(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9711, 9707])).
% 12.71/8.77 tff(9713,plain,
% 12.71/8.77 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35) | v111(constB35)),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9714,plain,
% 12.71/8.77 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9713, 9712])).
% 12.71/8.77 tff(9715,plain,
% 12.71/8.77 (v126(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9714, 9705])).
% 12.71/8.77 tff(9716,plain,
% 12.71/8.77 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35)) | (~v126(constB35))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9717,plain,
% 12.71/8.77 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35))),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9716, 9715])).
% 12.71/8.77 tff(9718,plain,
% 12.71/8.77 (~((~v113(constB35)) | (~v126(constB35)))),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9717, 9703])).
% 12.71/8.77 tff(9719,plain,
% 12.71/8.77 ((~(v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))) | v112(constB35) | ((~v113(constB35)) | (~v126(constB35)))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9720,plain,
% 12.71/8.77 (v112(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9719, 9718, 6855])).
% 12.71/8.77 tff(9721,plain,
% 12.71/8.77 ((v111(constB35) | v112(constB35)) | (~v112(constB35))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9722,plain,
% 12.71/8.77 (v111(constB35) | v112(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9721, 9720])).
% 12.71/8.77 tff(9723,plain,
% 12.71/8.77 ((~(v108(constB35) <=> (v111(constB35) | v112(constB35)))) | v108(constB35) | (~(v111(constB35) | v112(constB35)))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9724,plain,
% 12.71/8.77 (v108(constB35)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9723, 9722, 6853])).
% 12.71/8.77 tff(9725,plain,
% 12.71/8.77 ((~(v110(constB36) <=> v108(constB35))) | v110(constB36) | (~v108(constB35))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9726,plain,
% 12.71/8.77 (v110(constB36)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9725, 9724, 6851])).
% 12.71/8.77 tff(9727,plain,
% 12.71/8.77 ((~((~v101(constB36)) | (~v110(constB36)))) | (~v101(constB36)) | (~v110(constB36))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9728,plain,
% 12.71/8.77 (~((~v101(constB36)) | (~v110(constB36)))),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9727, 9726, 6847])).
% 12.71/8.77 tff(9729,plain,
% 12.71/8.77 ((~(v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))) | v100(constB36) | ((~v101(constB36)) | (~v110(constB36)))),
% 12.71/8.77 inference(tautology,[status(thm)],[])).
% 12.71/8.77 tff(9730,plain,
% 12.71/8.77 (v100(constB36)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9729, 9728, 6816])).
% 12.71/8.77 tff(9731,plain,
% 12.71/8.77 (((~![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))))),
% 12.71/8.77 inference(rewrite,[status(thm)],[])).
% 12.71/8.77 tff(9732,plain,
% 12.71/8.77 ((~![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))))),
% 12.71/8.77 inference(quant_inst,[status(thm)],[])).
% 12.71/8.77 tff(9733,plain,
% 12.71/8.77 ((~![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)))),
% 12.71/8.77 inference(modus_ponens,[status(thm)],[9732, 9731])).
% 12.71/8.77 tff(9734,plain,
% 12.71/8.77 ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9733, 1405])).
% 12.71/8.77 tff(9735,plain,
% 12.71/8.77 (![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9734, 9730])).
% 12.71/8.77 tff(9736,plain,
% 12.71/8.77 (((~![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)))),
% 12.71/8.77 inference(rewrite,[status(thm)],[])).
% 12.71/8.77 tff(9737,plain,
% 12.71/8.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))),
% 12.71/8.77 inference(quant_inst,[status(thm)],[])).
% 12.71/8.77 tff(9738,plain,
% 12.71/8.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2))),
% 12.71/8.77 inference(modus_ponens,[status(thm)],[9737, 9736])).
% 12.71/8.77 tff(9739,plain,
% 12.71/8.77 (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)),
% 12.71/8.77 inference(unit_resolution,[status(thm)],[9738, 579, 9735])).
% 12.71/8.77 tff(9740,plain,
% 12.71/8.77 (((~![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))))),
% 12.71/8.77 inference(rewrite,[status(thm)],[])).
% 12.71/8.77 tff(9741,plain,
% 12.71/8.77 ((~![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))))),
% 12.75/8.77 inference(quant_inst,[status(thm)],[])).
% 12.75/8.77 tff(9742,plain,
% 12.75/8.77 ((~![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)))),
% 12.75/8.77 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 12.75/8.77 tff(9743,plain,
% 12.75/8.77 (![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))),
% 12.75/8.77 inference(unit_resolution,[status(thm)],[9742, 6812, 1427])).
% 12.75/8.77 tff(9744,plain,
% 12.75/8.77 (((~![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)))),
% 12.75/8.77 inference(rewrite,[status(thm)],[])).
% 12.75/8.77 tff(9745,plain,
% 12.75/8.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9746,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 12.75/8.78 tff(9747,plain,
% 12.75/8.78 (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9746, 579, 9743])).
% 12.75/8.78 tff(9748,plain,
% 12.75/8.78 (((~![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))))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9749,plain,
% 12.75/8.78 ((~![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))))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9750,plain,
% 12.75/8.78 ((~![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)))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9749, 9748])).
% 12.75/8.78 tff(9751,plain,
% 12.75/8.78 (![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9750, 1448, 9712])).
% 12.75/8.78 tff(9752,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9753,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9754,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 12.75/8.78 tff(9755,plain,
% 12.75/8.78 (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9754, 579, 9751])).
% 12.75/8.78 tff(9756,plain,
% 12.75/8.78 (((~![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))))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9757,plain,
% 12.75/8.78 ((~![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))))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9758,plain,
% 12.75/8.78 ((~![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)))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9757, 9756])).
% 12.75/8.78 tff(9759,plain,
% 12.75/8.78 ((~v124(constB35)) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9758, 2735])).
% 12.75/8.78 tff(9760,plain,
% 12.75/8.78 (![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9759, 9695])).
% 12.75/8.78 tff(9761,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9762,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b110(bitIndex2)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9763,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b110(bitIndex2))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9762, 9761])).
% 12.75/8.78 tff(9764,plain,
% 12.75/8.78 (v130(constB35, bitIndex2) <=> b110(bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9763, 579, 9760])).
% 12.75/8.78 tff(9765,plain,
% 12.75/8.78 ((~(v130(constB35, bitIndex2) <=> b110(bitIndex2))) | v130(constB35, bitIndex2) | (~b110(bitIndex2))),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9766,plain,
% 12.75/8.78 ((~(v130(constB35, bitIndex2) <=> b110(bitIndex2))) | v130(constB35, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9765, 2747])).
% 12.75/8.78 tff(9767,plain,
% 12.75/8.78 (v130(constB35, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9766, 9764])).
% 12.75/8.78 tff(9768,plain,
% 12.75/8.78 ((~(v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2))) | v127(constB35, bitIndex2) | (~v130(constB35, bitIndex2))),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9769,plain,
% 12.75/8.78 (v127(constB35, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9768, 9767, 9755])).
% 12.75/8.78 tff(9770,plain,
% 12.75/8.78 ((~(v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2))) | v129(constB36, bitIndex2) | (~v127(constB35, bitIndex2))),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9771,plain,
% 12.75/8.78 (v129(constB36, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9770, 9769, 9747])).
% 12.75/8.78 tff(9772,plain,
% 12.75/8.78 ((~(v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2))),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9773,plain,
% 12.75/8.78 (v90(constB36, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9772, 9771, 9739])).
% 12.75/8.78 tff(9774,plain,
% 12.75/8.78 ((~(v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2))) | v90(constB37, bitIndex2) | (~v90(constB36, bitIndex2))),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9775,plain,
% 12.75/8.78 (v90(constB37, bitIndex2)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9774, 9773, 6809])).
% 12.75/8.78 tff(9776,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9777,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9778,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9777, 9776])).
% 12.75/8.78 tff(9779,plain,
% 12.75/8.78 (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9778, 1275, 6805])).
% 12.75/8.78 tff(9780,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9781,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9782,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 12.75/8.78 tff(9783,plain,
% 12.75/8.78 (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9782, 1275, 9735])).
% 12.75/8.78 tff(9784,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9785,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9786,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9785, 9784])).
% 12.75/8.78 tff(9787,plain,
% 12.75/8.78 (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9786, 1275, 9743])).
% 12.75/8.78 tff(9788,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9789,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9790,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 12.75/8.78 tff(9791,plain,
% 12.75/8.78 (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9790, 1275, 9751])).
% 12.75/8.78 tff(9792,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9793,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b110(bitIndex0)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9794,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b110(bitIndex0))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9793, 9792])).
% 12.75/8.78 tff(9795,plain,
% 12.75/8.78 (v130(constB35, bitIndex0) <=> b110(bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9794, 1275, 9760])).
% 12.75/8.78 tff(9796,plain,
% 12.75/8.78 ((~(v130(constB35, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB35, bitIndex0)) | b110(bitIndex0)),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9797,plain,
% 12.75/8.78 ((~(v130(constB35, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB35, bitIndex0))),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9796, 2862])).
% 12.75/8.78 tff(9798,plain,
% 12.75/8.78 (~v130(constB35, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9797, 9795])).
% 12.75/8.78 tff(9799,plain,
% 12.75/8.78 ((~(v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0))) | (~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9800,plain,
% 12.75/8.78 (~v127(constB35, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9799, 9798, 9791])).
% 12.75/8.78 tff(9801,plain,
% 12.75/8.78 ((~(v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0))) | (~v129(constB36, bitIndex0)) | v127(constB35, bitIndex0)),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9802,plain,
% 12.75/8.78 (~v129(constB36, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9801, 9800, 9787])).
% 12.75/8.78 tff(9803,plain,
% 12.75/8.78 ((~(v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0)),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9804,plain,
% 12.75/8.78 (~v90(constB36, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9803, 9802, 9783])).
% 12.75/8.78 tff(9805,plain,
% 12.75/8.78 ((~(v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0))) | (~v90(constB37, bitIndex0)) | v90(constB36, bitIndex0)),
% 12.75/8.78 inference(tautology,[status(thm)],[])).
% 12.75/8.78 tff(9806,plain,
% 12.75/8.78 (~v90(constB37, bitIndex0)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9805, 9804, 9779])).
% 12.75/8.78 tff(9807,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9808,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9809,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 12.75/8.78 tff(9810,plain,
% 12.75/8.78 (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9809, 1288, 6805])).
% 12.75/8.78 tff(9811,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9812,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))),
% 12.75/8.78 inference(quant_inst,[status(thm)],[])).
% 12.75/8.78 tff(9813,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1))),
% 12.75/8.78 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 12.75/8.78 tff(9814,plain,
% 12.75/8.78 (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)),
% 12.75/8.78 inference(unit_resolution,[status(thm)],[9813, 1288, 9735])).
% 12.75/8.78 tff(9815,plain,
% 12.75/8.78 (((~![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)))),
% 12.75/8.78 inference(rewrite,[status(thm)],[])).
% 12.75/8.78 tff(9816,plain,
% 12.75/8.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9817,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9816, 9815])).
% 12.75/8.79 tff(9818,plain,
% 12.75/8.79 (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9817, 1288, 9743])).
% 12.75/8.79 tff(9819,plain,
% 12.75/8.79 (((~![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)))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9820,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9821,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9820, 9819])).
% 12.75/8.79 tff(9822,plain,
% 12.75/8.79 (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9821, 1288, 9751])).
% 12.75/8.79 tff(9823,plain,
% 12.75/8.79 (((~![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)))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9824,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b110(bitIndex1)))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9825,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b110(bitIndex1))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9824, 9823])).
% 12.75/8.79 tff(9826,plain,
% 12.75/8.79 (v130(constB35, bitIndex1) <=> b110(bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9825, 1288, 9760])).
% 12.75/8.79 tff(9827,plain,
% 12.75/8.79 ((~(v130(constB35, bitIndex1) <=> b110(bitIndex1))) | v130(constB35, bitIndex1) | (~b110(bitIndex1))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9828,plain,
% 12.75/8.79 ((~(v130(constB35, bitIndex1) <=> b110(bitIndex1))) | v130(constB35, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9827, 2902])).
% 12.75/8.79 tff(9829,plain,
% 12.75/8.79 (v130(constB35, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9828, 9826])).
% 12.75/8.79 tff(9830,plain,
% 12.75/8.79 ((~(v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1))) | v127(constB35, bitIndex1) | (~v130(constB35, bitIndex1))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9831,plain,
% 12.75/8.79 (v127(constB35, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9830, 9829, 9822])).
% 12.75/8.79 tff(9832,plain,
% 12.75/8.79 ((~(v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1))) | v129(constB36, bitIndex1) | (~v127(constB35, bitIndex1))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9833,plain,
% 12.75/8.79 (v129(constB36, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9832, 9831, 9818])).
% 12.75/8.79 tff(9834,plain,
% 12.75/8.79 ((~(v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9835,plain,
% 12.75/8.79 (v90(constB36, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9834, 9833, 9814])).
% 12.75/8.79 tff(9836,plain,
% 12.75/8.79 ((~(v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1))) | v90(constB37, bitIndex1) | (~v90(constB36, bitIndex1))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9837,plain,
% 12.75/8.79 (v90(constB37, bitIndex1)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9836, 9835, 9810])).
% 12.75/8.79 tff(9838,plain,
% 12.75/8.79 ((~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9839,plain,
% 12.75/8.79 (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9838, 9837, 9806, 9775])).
% 12.75/8.79 tff(9840,plain,
% 12.75/8.79 ((~(v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))) | v125(constB37) | ((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9841,plain,
% 12.75/8.79 (v125(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9840, 9839, 6777])).
% 12.75/8.79 tff(9842,plain,
% 12.75/8.79 ((v114(constB37) | v125(constB37)) | (~v125(constB37))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9843,plain,
% 12.75/8.79 (v114(constB37) | v125(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9842, 9841])).
% 12.75/8.79 tff(9844,plain,
% 12.75/8.79 ((~(v113(constB37) <=> (v114(constB37) | v125(constB37)))) | v113(constB37) | (~(v114(constB37) | v125(constB37)))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9845,plain,
% 12.75/8.79 (v113(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9844, 9843, 6770])).
% 12.75/8.79 tff(9846,plain,
% 12.75/8.79 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB37)) <=> v111(constB37))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9847,plain,
% 12.75/8.79 ((~v126(constB37)) <=> v111(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9846, 1345])).
% 12.75/8.79 tff(9848,plain,
% 12.75/8.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9849,plain,
% 12.75/8.79 (v111(constB37) <=> v26(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9848, 1357])).
% 12.75/8.79 tff(9850,plain,
% 12.75/8.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9851,plain,
% 12.75/8.79 (~v26(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9850, 1369])).
% 12.75/8.79 tff(9852,plain,
% 12.75/8.79 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9853,plain,
% 12.75/8.79 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9852, 9851])).
% 12.75/8.79 tff(9854,plain,
% 12.75/8.79 (~v111(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9853, 9849])).
% 12.75/8.79 tff(9855,plain,
% 12.75/8.79 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37) | v111(constB37)),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9856,plain,
% 12.75/8.79 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9855, 9854])).
% 12.75/8.79 tff(9857,plain,
% 12.75/8.79 (v126(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9856, 9847])).
% 12.75/8.79 tff(9858,plain,
% 12.75/8.79 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37)) | (~v126(constB37))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9859,plain,
% 12.75/8.79 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9858, 9857])).
% 12.75/8.79 tff(9860,plain,
% 12.75/8.79 (~((~v113(constB37)) | (~v126(constB37)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9859, 9845])).
% 12.75/8.79 tff(9861,plain,
% 12.75/8.79 ((~(v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))) | v112(constB37) | ((~v113(constB37)) | (~v126(constB37)))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9862,plain,
% 12.75/8.79 (v112(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9861, 9860, 6768])).
% 12.75/8.79 tff(9863,plain,
% 12.75/8.79 ((v111(constB37) | v112(constB37)) | (~v112(constB37))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9864,plain,
% 12.75/8.79 (v111(constB37) | v112(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9863, 9862])).
% 12.75/8.79 tff(9865,plain,
% 12.75/8.79 ((~(v108(constB37) <=> (v111(constB37) | v112(constB37)))) | v108(constB37) | (~(v111(constB37) | v112(constB37)))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9866,plain,
% 12.75/8.79 (v108(constB37)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9865, 9864, 6766])).
% 12.75/8.79 tff(9867,plain,
% 12.75/8.79 ((~(v110(constB38) <=> v108(constB37))) | v110(constB38) | (~v108(constB37))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9868,plain,
% 12.75/8.79 (v110(constB38)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9867, 9866, 6764])).
% 12.75/8.79 tff(9869,plain,
% 12.75/8.79 ((~((~v101(constB38)) | (~v110(constB38)))) | (~v101(constB38)) | (~v110(constB38))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9870,plain,
% 12.75/8.79 (~((~v101(constB38)) | (~v110(constB38)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9869, 9868, 6760])).
% 12.75/8.79 tff(9871,plain,
% 12.75/8.79 ((~(v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))) | v100(constB38) | ((~v101(constB38)) | (~v110(constB38)))),
% 12.75/8.79 inference(tautology,[status(thm)],[])).
% 12.75/8.79 tff(9872,plain,
% 12.75/8.79 (v100(constB38)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9871, 9870, 6729])).
% 12.75/8.79 tff(9873,plain,
% 12.75/8.79 (((~![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))))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9874,plain,
% 12.75/8.79 ((~![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))))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9875,plain,
% 12.75/8.79 ((~![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)))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 12.75/8.79 tff(9876,plain,
% 12.75/8.79 ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9875, 1405])).
% 12.75/8.79 tff(9877,plain,
% 12.75/8.79 (![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9876, 9872])).
% 12.75/8.79 tff(9878,plain,
% 12.75/8.79 (((~![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)))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9879,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9880,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 12.75/8.79 tff(9881,plain,
% 12.75/8.79 (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9880, 579, 9877])).
% 12.75/8.79 tff(9882,plain,
% 12.75/8.79 (((~![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))))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9883,plain,
% 12.75/8.79 ((~![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))))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9884,plain,
% 12.75/8.79 ((~![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)))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 12.75/8.79 tff(9885,plain,
% 12.75/8.79 (![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9884, 6725, 1427])).
% 12.75/8.79 tff(9886,plain,
% 12.75/8.79 (((~![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)))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9887,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9888,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 12.75/8.79 tff(9889,plain,
% 12.75/8.79 (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9888, 579, 9885])).
% 12.75/8.79 tff(9890,plain,
% 12.75/8.79 (((~![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))))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9891,plain,
% 12.75/8.79 ((~![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))))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9892,plain,
% 12.75/8.79 ((~![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)))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 12.75/8.79 tff(9893,plain,
% 12.75/8.79 (![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9892, 1448, 9854])).
% 12.75/8.79 tff(9894,plain,
% 12.75/8.79 (((~![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)))),
% 12.75/8.79 inference(rewrite,[status(thm)],[])).
% 12.75/8.79 tff(9895,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9896,plain,
% 12.75/8.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2))),
% 12.75/8.79 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 12.75/8.79 tff(9897,plain,
% 12.75/8.79 (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9896, 579, 9893])).
% 12.75/8.79 tff(9898,plain,
% 12.75/8.79 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))))),
% 12.75/8.79 inference(quant_inst,[status(thm)],[])).
% 12.75/8.79 tff(9899,plain,
% 12.75/8.79 (v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)))),
% 12.75/8.79 inference(unit_resolution,[status(thm)],[9898, 1242])).
% 12.75/8.79 tff(9900,plain,
% 12.75/8.80 ((v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex2))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9901,plain,
% 12.75/8.80 (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9900, 9775])).
% 12.75/8.80 tff(9902,plain,
% 12.75/8.80 ((~(v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))))) | (~v119(constB37)) | (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9903,plain,
% 12.75/8.80 (~v119(constB37)),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9902, 9901, 9899])).
% 12.75/8.80 tff(9904,plain,
% 12.75/8.80 (((~![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))))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9905,plain,
% 12.75/8.80 ((v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2))))) <=> (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9906,plain,
% 12.75/8.80 (((~![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))))))),
% 12.75/8.80 inference(monotonicity,[status(thm)],[9905])).
% 12.75/8.80 tff(9907,plain,
% 12.75/8.80 (((~![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))))))),
% 12.75/8.80 inference(transitivity,[status(thm)],[9906, 9904])).
% 12.75/8.80 tff(9908,plain,
% 12.75/8.80 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))),
% 12.75/8.80 inference(quant_inst,[status(thm)],[])).
% 12.75/8.80 tff(9909,plain,
% 12.75/8.80 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.80 inference(modus_ponens,[status(thm)],[9908, 9907])).
% 12.75/8.80 tff(9910,plain,
% 12.75/8.80 (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9909, 2651])).
% 12.75/8.80 tff(9911,plain,
% 12.75/8.80 (((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex1))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9912,plain,
% 12.75/8.80 ((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9911, 9837])).
% 12.75/8.80 tff(9913,plain,
% 12.75/8.80 ((~(v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) | (~v124(constB37)) | (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9914,plain,
% 12.75/8.80 (~v124(constB37)),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9913, 9912, 9910])).
% 12.75/8.80 tff(9915,plain,
% 12.75/8.80 (((~![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)))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9916,plain,
% 12.75/8.80 ((v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2))))) <=> (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9917,plain,
% 12.75/8.80 (((~![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)))))),
% 12.75/8.80 inference(monotonicity,[status(thm)],[9916])).
% 12.75/8.80 tff(9918,plain,
% 12.75/8.80 (((~![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)))))),
% 12.75/8.80 inference(transitivity,[status(thm)],[9917, 9915])).
% 12.75/8.80 tff(9919,plain,
% 12.75/8.80 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))),
% 12.75/8.80 inference(quant_inst,[status(thm)],[])).
% 12.75/8.80 tff(9920,plain,
% 12.75/8.80 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(modus_ponens,[status(thm)],[9919, 9918])).
% 12.75/8.80 tff(9921,plain,
% 12.75/8.80 (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9920, 787])).
% 12.75/8.80 tff(9922,plain,
% 12.75/8.80 (((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9923,plain,
% 12.75/8.80 ((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9922, 9837])).
% 12.75/8.80 tff(9924,plain,
% 12.75/8.80 ((~(v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))) | (~v123(constB37)) | (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9925,plain,
% 12.75/8.80 (~v123(constB37)),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9924, 9923, 9921])).
% 12.75/8.80 tff(9926,plain,
% 12.75/8.80 (((~![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))))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9927,plain,
% 12.75/8.80 ((v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1))))) <=> (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9928,plain,
% 12.75/8.80 (((~![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))))))),
% 12.75/8.80 inference(monotonicity,[status(thm)],[9927])).
% 12.75/8.80 tff(9929,plain,
% 12.75/8.80 (((~![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))))))),
% 12.75/8.80 inference(transitivity,[status(thm)],[9928, 9926])).
% 12.75/8.80 tff(9930,plain,
% 12.75/8.80 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))),
% 12.75/8.80 inference(quant_inst,[status(thm)],[])).
% 12.75/8.80 tff(9931,plain,
% 12.75/8.80 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.80 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 12.75/8.80 tff(9932,plain,
% 12.75/8.80 (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9931, 900])).
% 12.75/8.80 tff(9933,plain,
% 12.75/8.80 ((v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9934,plain,
% 12.75/8.80 (v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9933, 9775])).
% 12.75/8.80 tff(9935,plain,
% 12.75/8.80 ((~(v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))) | (~v122(constB37)) | (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(tautology,[status(thm)],[])).
% 12.75/8.80 tff(9936,plain,
% 12.75/8.80 (~v122(constB37)),
% 12.75/8.80 inference(unit_resolution,[status(thm)],[9935, 9934, 9932])).
% 12.75/8.80 tff(9937,plain,
% 12.75/8.80 (((~![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)))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9938,plain,
% 12.75/8.80 ((v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1))))) <=> (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 12.75/8.80 inference(rewrite,[status(thm)],[])).
% 12.75/8.80 tff(9939,plain,
% 12.75/8.80 (((~![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)))))),
% 12.75/8.81 inference(monotonicity,[status(thm)],[9938])).
% 12.75/8.81 tff(9940,plain,
% 12.75/8.81 (((~![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)))))),
% 12.75/8.81 inference(transitivity,[status(thm)],[9939, 9937])).
% 12.75/8.81 tff(9941,plain,
% 12.75/8.81 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))),
% 12.75/8.81 inference(quant_inst,[status(thm)],[])).
% 12.75/8.81 tff(9942,plain,
% 12.75/8.81 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 12.75/8.81 inference(modus_ponens,[status(thm)],[9941, 9940])).
% 12.75/8.81 tff(9943,plain,
% 12.75/8.81 (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9942, 1015])).
% 12.75/8.81 tff(9944,plain,
% 12.75/8.81 ((v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2))),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9945,plain,
% 12.75/8.81 (v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9944, 9775])).
% 12.75/8.81 tff(9946,plain,
% 12.75/8.81 ((~(v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))) | (~v121(constB37)) | (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9947,plain,
% 12.75/8.81 (~v121(constB37)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9946, 9945, 9943])).
% 12.75/8.81 tff(9948,plain,
% 12.75/8.81 (((~![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))))))),
% 12.75/8.81 inference(rewrite,[status(thm)],[])).
% 12.75/8.81 tff(9949,plain,
% 12.75/8.81 ((v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))))) <=> (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.81 inference(rewrite,[status(thm)],[])).
% 12.75/8.81 tff(9950,plain,
% 12.75/8.81 (((~![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))))))),
% 12.75/8.81 inference(monotonicity,[status(thm)],[9949])).
% 12.75/8.81 tff(9951,plain,
% 12.75/8.81 (((~![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))))))),
% 12.75/8.81 inference(transitivity,[status(thm)],[9950, 9948])).
% 12.75/8.81 tff(9952,plain,
% 12.75/8.81 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.81 inference(quant_inst,[status(thm)],[])).
% 12.75/8.81 tff(9953,plain,
% 12.75/8.81 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 12.75/8.81 inference(modus_ponens,[status(thm)],[9952, 9951])).
% 12.75/8.81 tff(9954,plain,
% 12.75/8.81 (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9953, 1132])).
% 12.75/8.81 tff(9955,plain,
% 12.75/8.81 ((v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2))),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9956,plain,
% 12.75/8.81 (v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9955, 9775])).
% 12.75/8.81 tff(9957,plain,
% 12.75/8.81 ((~(v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) | (~v120(constB37)) | (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9958,plain,
% 12.75/8.81 (~v120(constB37)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9957, 9956, 9954])).
% 12.75/8.81 tff(9959,plain,
% 12.75/8.81 (((~![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(constB37) | v120(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))))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 12.75/8.81 inference(rewrite,[status(thm)],[])).
% 12.75/8.81 tff(9960,plain,
% 12.75/8.81 ((v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) <=> (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 12.75/8.81 inference(rewrite,[status(thm)],[])).
% 12.75/8.81 tff(9961,plain,
% 12.75/8.81 (((~![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))))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))))),
% 12.75/8.81 inference(monotonicity,[status(thm)],[9960])).
% 12.75/8.81 tff(9962,plain,
% 12.75/8.81 (((~![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))))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 12.75/8.81 inference(transitivity,[status(thm)],[9961, 9959])).
% 12.75/8.81 tff(9963,plain,
% 12.75/8.81 ((~![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))))),
% 12.75/8.81 inference(quant_inst,[status(thm)],[])).
% 12.75/8.81 tff(9964,plain,
% 12.75/8.81 ((~![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(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))),
% 12.75/8.81 inference(modus_ponens,[status(thm)],[9963, 9962])).
% 12.75/8.81 tff(9965,plain,
% 12.75/8.81 (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9964, 8006])).
% 12.75/8.81 tff(9966,plain,
% 12.75/8.81 (![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9965, 9958, 9947, 9936, 9925, 9914, 9903])).
% 12.75/8.81 tff(9967,plain,
% 12.75/8.81 (((~![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)))),
% 12.75/8.81 inference(rewrite,[status(thm)],[])).
% 12.75/8.81 tff(9968,plain,
% 12.75/8.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b001(bitIndex2)))),
% 12.75/8.81 inference(quant_inst,[status(thm)],[])).
% 12.75/8.81 tff(9969,plain,
% 12.75/8.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b001(bitIndex2))),
% 12.75/8.81 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 12.75/8.81 tff(9970,plain,
% 12.75/8.81 (v130(constB37, bitIndex2) <=> b001(bitIndex2)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9969, 579, 9966])).
% 12.75/8.81 tff(9971,plain,
% 12.75/8.81 ((~(v130(constB37, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB37, bitIndex2)) | b001(bitIndex2)),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9972,plain,
% 12.75/8.81 ((~(v130(constB37, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB37, bitIndex2))),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9971, 1480])).
% 12.75/8.81 tff(9973,plain,
% 12.75/8.81 (~v130(constB37, bitIndex2)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9972, 9970])).
% 12.75/8.81 tff(9974,plain,
% 12.75/8.81 ((~(v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2))) | (~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9975,plain,
% 12.75/8.81 (~v127(constB37, bitIndex2)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9974, 9973, 9897])).
% 12.75/8.81 tff(9976,plain,
% 12.75/8.81 ((~(v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2))) | (~v129(constB38, bitIndex2)) | v127(constB37, bitIndex2)),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9977,plain,
% 12.75/8.81 (~v129(constB38, bitIndex2)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9976, 9975, 9889])).
% 12.75/8.81 tff(9978,plain,
% 12.75/8.81 ((~(v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2)),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.81 tff(9979,plain,
% 12.75/8.81 (~v90(constB38, bitIndex2)),
% 12.75/8.81 inference(unit_resolution,[status(thm)],[9978, 9977, 9881])).
% 12.75/8.81 tff(9980,plain,
% 12.75/8.81 ((~(v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2))) | (~v90(constB39, bitIndex2)) | v90(constB38, bitIndex2)),
% 12.75/8.81 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(9981,plain,
% 12.75/8.82 (~v90(constB39, bitIndex2)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[9980, 9979, 6722])).
% 12.75/8.82 tff(9982,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(9983,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(9984,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 12.75/8.82 tff(9985,plain,
% 12.75/8.82 (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[9984, 1275, 6718])).
% 12.75/8.82 tff(9986,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(9987,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(9988,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[9987, 9986])).
% 12.75/8.82 tff(9989,plain,
% 12.75/8.82 (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[9988, 1275, 9877])).
% 12.75/8.82 tff(9990,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(9991,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(9992,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[9991, 9990])).
% 12.75/8.82 tff(9993,plain,
% 12.75/8.82 (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[9992, 1275, 9885])).
% 12.75/8.82 tff(9994,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(9995,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(9996,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[9995, 9994])).
% 12.75/8.82 tff(9997,plain,
% 12.75/8.82 (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[9996, 1275, 9893])).
% 12.75/8.82 tff(9998,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(9999,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b001(bitIndex0)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10000,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b001(bitIndex0))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[9999, 9998])).
% 12.75/8.82 tff(10001,plain,
% 12.75/8.82 (v130(constB37, bitIndex0) <=> b001(bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10000, 1275, 9966])).
% 12.75/8.82 tff(10002,plain,
% 12.75/8.82 ((~(v130(constB37, bitIndex0) <=> b001(bitIndex0))) | v130(constB37, bitIndex0) | (~b001(bitIndex0))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10003,plain,
% 12.75/8.82 ((~(v130(constB37, bitIndex0) <=> b001(bitIndex0))) | v130(constB37, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10002, 1514])).
% 12.75/8.82 tff(10004,plain,
% 12.75/8.82 (v130(constB37, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10003, 10001])).
% 12.75/8.82 tff(10005,plain,
% 12.75/8.82 ((~(v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0))) | v127(constB37, bitIndex0) | (~v130(constB37, bitIndex0))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10006,plain,
% 12.75/8.82 (v127(constB37, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10005, 10004, 9997])).
% 12.75/8.82 tff(10007,plain,
% 12.75/8.82 ((~(v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0))) | v129(constB38, bitIndex0) | (~v127(constB37, bitIndex0))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10008,plain,
% 12.75/8.82 (v129(constB38, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10007, 10006, 9993])).
% 12.75/8.82 tff(10009,plain,
% 12.75/8.82 ((~(v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10010,plain,
% 12.75/8.82 (v90(constB38, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10009, 10008, 9989])).
% 12.75/8.82 tff(10011,plain,
% 12.75/8.82 ((~(v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0))) | v90(constB39, bitIndex0) | (~v90(constB38, bitIndex0))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10012,plain,
% 12.75/8.82 (v90(constB39, bitIndex0)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10011, 10010, 9985])).
% 12.75/8.82 tff(10013,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(10014,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10015,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[10014, 10013])).
% 12.75/8.82 tff(10016,plain,
% 12.75/8.82 (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10015, 1288, 6718])).
% 12.75/8.82 tff(10017,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(10018,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10019,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[10018, 10017])).
% 12.75/8.82 tff(10020,plain,
% 12.75/8.82 (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10019, 1288, 9877])).
% 12.75/8.82 tff(10021,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(10022,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10023,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[10022, 10021])).
% 12.75/8.82 tff(10024,plain,
% 12.75/8.82 (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10023, 1288, 9885])).
% 12.75/8.82 tff(10025,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(10026,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10027,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[10026, 10025])).
% 12.75/8.82 tff(10028,plain,
% 12.75/8.82 (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10027, 1288, 9893])).
% 12.75/8.82 tff(10029,plain,
% 12.75/8.82 (((~![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)))),
% 12.75/8.82 inference(rewrite,[status(thm)],[])).
% 12.75/8.82 tff(10030,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b001(bitIndex1)))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10031,plain,
% 12.75/8.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b001(bitIndex1))),
% 12.75/8.82 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 12.75/8.82 tff(10032,plain,
% 12.75/8.82 (v130(constB37, bitIndex1) <=> b001(bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10031, 1288, 9966])).
% 12.75/8.82 tff(10033,plain,
% 12.75/8.82 ((~(v130(constB37, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB37, bitIndex1)) | b001(bitIndex1)),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10034,plain,
% 12.75/8.82 ((~(v130(constB37, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB37, bitIndex1))),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10033, 1548])).
% 12.75/8.82 tff(10035,plain,
% 12.75/8.82 (~v130(constB37, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10034, 10032])).
% 12.75/8.82 tff(10036,plain,
% 12.75/8.82 ((~(v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1))) | (~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10037,plain,
% 12.75/8.82 (~v127(constB37, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10036, 10035, 10028])).
% 12.75/8.82 tff(10038,plain,
% 12.75/8.82 ((~(v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1))) | (~v129(constB38, bitIndex1)) | v127(constB37, bitIndex1)),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10039,plain,
% 12.75/8.82 (~v129(constB38, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10038, 10037, 10024])).
% 12.75/8.82 tff(10040,plain,
% 12.75/8.82 ((~(v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1)),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10041,plain,
% 12.75/8.82 (~v90(constB38, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10040, 10039, 10020])).
% 12.75/8.82 tff(10042,plain,
% 12.75/8.82 ((~(v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1))) | (~v90(constB39, bitIndex1)) | v90(constB38, bitIndex1)),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10043,plain,
% 12.75/8.82 (~v90(constB39, bitIndex1)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10042, 10041, 10016])).
% 12.75/8.82 tff(10044,plain,
% 12.75/8.82 ((~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))) | v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10045,plain,
% 12.75/8.82 (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10044, 10043, 10012, 9981])).
% 12.75/8.82 tff(10046,plain,
% 12.75/8.82 ((~(v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))) | v120(constB39) | (v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10047,plain,
% 12.75/8.82 (v120(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10046, 10045, 6690])).
% 12.75/8.82 tff(10048,plain,
% 12.75/8.82 ((v119(constB39) | v120(constB39)) | (~v120(constB39))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10049,plain,
% 12.75/8.82 (v119(constB39) | v120(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10048, 10047])).
% 12.75/8.82 tff(10050,plain,
% 12.75/8.82 ((~(v118(constB39) <=> (v119(constB39) | v120(constB39)))) | v118(constB39) | (~(v119(constB39) | v120(constB39)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10051,plain,
% 12.75/8.82 (v118(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10050, 10049, 6683])).
% 12.75/8.82 tff(10052,plain,
% 12.75/8.82 ((v118(constB39) | v121(constB39)) | (~v118(constB39))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10053,plain,
% 12.75/8.82 (v118(constB39) | v121(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10052, 10051])).
% 12.75/8.82 tff(10054,plain,
% 12.75/8.82 ((~(v117(constB39) <=> (v118(constB39) | v121(constB39)))) | v117(constB39) | (~(v118(constB39) | v121(constB39)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10055,plain,
% 12.75/8.82 (v117(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10054, 10053, 6681])).
% 12.75/8.82 tff(10056,plain,
% 12.75/8.82 ((v117(constB39) | v122(constB39)) | (~v117(constB39))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10057,plain,
% 12.75/8.82 (v117(constB39) | v122(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10056, 10055])).
% 12.75/8.82 tff(10058,plain,
% 12.75/8.82 ((~(v116(constB39) <=> (v117(constB39) | v122(constB39)))) | v116(constB39) | (~(v117(constB39) | v122(constB39)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10059,plain,
% 12.75/8.82 (v116(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10058, 10057, 6679])).
% 12.75/8.82 tff(10060,plain,
% 12.75/8.82 ((v116(constB39) | v123(constB39)) | (~v116(constB39))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10061,plain,
% 12.75/8.82 (v116(constB39) | v123(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10060, 10059])).
% 12.75/8.82 tff(10062,plain,
% 12.75/8.82 ((~(v115(constB39) <=> (v116(constB39) | v123(constB39)))) | v115(constB39) | (~(v116(constB39) | v123(constB39)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10063,plain,
% 12.75/8.82 (v115(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10062, 10061, 6677])).
% 12.75/8.82 tff(10064,plain,
% 12.75/8.82 ((v115(constB39) | v124(constB39)) | (~v115(constB39))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10065,plain,
% 12.75/8.82 (v115(constB39) | v124(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10064, 10063])).
% 12.75/8.82 tff(10066,plain,
% 12.75/8.82 ((~(v114(constB39) <=> (v115(constB39) | v124(constB39)))) | v114(constB39) | (~(v115(constB39) | v124(constB39)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10067,plain,
% 12.75/8.82 (v114(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10066, 10065, 6675])).
% 12.75/8.82 tff(10068,plain,
% 12.75/8.82 ((v114(constB39) | v125(constB39)) | (~v114(constB39))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10069,plain,
% 12.75/8.82 (v114(constB39) | v125(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10068, 10067])).
% 12.75/8.82 tff(10070,plain,
% 12.75/8.82 ((~(v113(constB39) <=> (v114(constB39) | v125(constB39)))) | v113(constB39) | (~(v114(constB39) | v125(constB39)))),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10071,plain,
% 12.75/8.82 (v113(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10070, 10069, 6673])).
% 12.75/8.82 tff(10072,plain,
% 12.75/8.82 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB39)) <=> v111(constB39))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10073,plain,
% 12.75/8.82 ((~v126(constB39)) <=> v111(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10072, 1345])).
% 12.75/8.82 tff(10074,plain,
% 12.75/8.82 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10075,plain,
% 12.75/8.82 (v111(constB39) <=> v26(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10074, 1357])).
% 12.75/8.82 tff(10076,plain,
% 12.75/8.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 12.75/8.82 inference(quant_inst,[status(thm)],[])).
% 12.75/8.82 tff(10077,plain,
% 12.75/8.82 (~v26(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10076, 1369])).
% 12.75/8.82 tff(10078,plain,
% 12.75/8.82 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 12.75/8.82 inference(tautology,[status(thm)],[])).
% 12.75/8.82 tff(10079,plain,
% 12.75/8.82 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10078, 10077])).
% 12.75/8.82 tff(10080,plain,
% 12.75/8.82 (~v111(constB39)),
% 12.75/8.82 inference(unit_resolution,[status(thm)],[10079, 10075])).
% 12.75/8.82 tff(10081,plain,
% 12.75/8.82 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39) | v111(constB39)),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10082,plain,
% 12.75/8.83 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10081, 10080])).
% 12.75/8.83 tff(10083,plain,
% 12.75/8.83 (v126(constB39)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10082, 10073])).
% 12.75/8.83 tff(10084,plain,
% 12.75/8.83 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39)) | (~v126(constB39))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10085,plain,
% 12.75/8.83 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10084, 10083])).
% 12.75/8.83 tff(10086,plain,
% 12.75/8.83 (~((~v113(constB39)) | (~v126(constB39)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10085, 10071])).
% 12.75/8.83 tff(10087,plain,
% 12.75/8.83 ((~(v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))) | v112(constB39) | ((~v113(constB39)) | (~v126(constB39)))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10088,plain,
% 12.75/8.83 (v112(constB39)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10087, 10086, 6671])).
% 12.75/8.83 tff(10089,plain,
% 12.75/8.83 ((v111(constB39) | v112(constB39)) | (~v112(constB39))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10090,plain,
% 12.75/8.83 (v111(constB39) | v112(constB39)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10089, 10088])).
% 12.75/8.83 tff(10091,plain,
% 12.75/8.83 ((~(v108(constB39) <=> (v111(constB39) | v112(constB39)))) | v108(constB39) | (~(v111(constB39) | v112(constB39)))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10092,plain,
% 12.75/8.83 (v108(constB39)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10091, 10090, 6669])).
% 12.75/8.83 tff(10093,plain,
% 12.75/8.83 ((~(v110(constB40) <=> v108(constB39))) | v110(constB40) | (~v108(constB39))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10094,plain,
% 12.75/8.83 (v110(constB40)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10093, 10092, 6667])).
% 12.75/8.83 tff(10095,plain,
% 12.75/8.83 ((~((~v101(constB40)) | (~v110(constB40)))) | (~v101(constB40)) | (~v110(constB40))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10096,plain,
% 12.75/8.83 (~((~v101(constB40)) | (~v110(constB40)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10095, 10094, 6663])).
% 12.75/8.83 tff(10097,plain,
% 12.75/8.83 ((~(v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))) | v100(constB40) | ((~v101(constB40)) | (~v110(constB40)))),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10098,plain,
% 12.75/8.83 (v100(constB40)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10097, 10096, 6632])).
% 12.75/8.83 tff(10099,plain,
% 12.75/8.83 (((~![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))))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10100,plain,
% 12.75/8.83 ((~![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))))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10101,plain,
% 12.75/8.83 ((~![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)))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 12.75/8.83 tff(10102,plain,
% 12.75/8.83 ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10101, 1405])).
% 12.75/8.83 tff(10103,plain,
% 12.75/8.83 (![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10102, 10098])).
% 12.75/8.83 tff(10104,plain,
% 12.75/8.83 (((~![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)))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10105,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10106,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10105, 10104])).
% 12.75/8.83 tff(10107,plain,
% 12.75/8.83 (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10106, 579, 10103])).
% 12.75/8.83 tff(10108,plain,
% 12.75/8.83 (((~![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))))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10109,plain,
% 12.75/8.83 ((~![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))))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10110,plain,
% 12.75/8.83 ((~![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)))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 12.75/8.83 tff(10111,plain,
% 12.75/8.83 (![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10110, 6628, 1427])).
% 12.75/8.83 tff(10112,plain,
% 12.75/8.83 (((~![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)))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10113,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10114,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 12.75/8.83 tff(10115,plain,
% 12.75/8.83 (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10114, 579, 10111])).
% 12.75/8.83 tff(10116,plain,
% 12.75/8.83 (((~![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))))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10117,plain,
% 12.75/8.83 ((~![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))))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10118,plain,
% 12.75/8.83 ((~![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)))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 12.75/8.83 tff(10119,plain,
% 12.75/8.83 (![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10118, 1448, 10080])).
% 12.75/8.83 tff(10120,plain,
% 12.75/8.83 (((~![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)))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10121,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10122,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10121, 10120])).
% 12.75/8.83 tff(10123,plain,
% 12.75/8.83 (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10122, 579, 10119])).
% 12.75/8.83 tff(10124,plain,
% 12.75/8.83 (((~![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))))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10125,plain,
% 12.75/8.83 ((~![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))))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10126,plain,
% 12.75/8.83 ((~![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)))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 12.75/8.83 tff(10127,plain,
% 12.75/8.83 ((~v120(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10126, 1652])).
% 12.75/8.83 tff(10128,plain,
% 12.75/8.83 (![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10127, 10047])).
% 12.75/8.83 tff(10129,plain,
% 12.75/8.83 (((~![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)))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10130,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b010(bitIndex2)))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10131,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b010(bitIndex2))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10130, 10129])).
% 12.75/8.83 tff(10132,plain,
% 12.75/8.83 (v130(constB39, bitIndex2) <=> b010(bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10131, 579, 10128])).
% 12.75/8.83 tff(10133,plain,
% 12.75/8.83 ((~(v130(constB39, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB39, bitIndex2)) | b010(bitIndex2)),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10134,plain,
% 12.75/8.83 ((~(v130(constB39, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB39, bitIndex2))),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10133, 1664])).
% 12.75/8.83 tff(10135,plain,
% 12.75/8.83 (~v130(constB39, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10134, 10132])).
% 12.75/8.83 tff(10136,plain,
% 12.75/8.83 ((~(v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2))) | (~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10137,plain,
% 12.75/8.83 (~v127(constB39, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10136, 10135, 10123])).
% 12.75/8.83 tff(10138,plain,
% 12.75/8.83 ((~(v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2))) | (~v129(constB40, bitIndex2)) | v127(constB39, bitIndex2)),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10139,plain,
% 12.75/8.83 (~v129(constB40, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10138, 10137, 10115])).
% 12.75/8.83 tff(10140,plain,
% 12.75/8.83 ((~(v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10141,plain,
% 12.75/8.83 (~v90(constB40, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10140, 10139, 10107])).
% 12.75/8.83 tff(10142,plain,
% 12.75/8.83 ((~(v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2))) | (~v90(constB41, bitIndex2)) | v90(constB40, bitIndex2)),
% 12.75/8.83 inference(tautology,[status(thm)],[])).
% 12.75/8.83 tff(10143,plain,
% 12.75/8.83 (~v90(constB41, bitIndex2)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10142, 10141, 6625])).
% 12.75/8.83 tff(10144,plain,
% 12.75/8.83 (((~![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)))),
% 12.75/8.83 inference(rewrite,[status(thm)],[])).
% 12.75/8.83 tff(10145,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))),
% 12.75/8.83 inference(quant_inst,[status(thm)],[])).
% 12.75/8.83 tff(10146,plain,
% 12.75/8.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0))),
% 12.75/8.83 inference(modus_ponens,[status(thm)],[10145, 10144])).
% 12.75/8.83 tff(10147,plain,
% 12.75/8.83 (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)),
% 12.75/8.83 inference(unit_resolution,[status(thm)],[10146, 1275, 6621])).
% 12.75/8.83 tff(10148,plain,
% 12.75/8.83 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10149,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10150,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10149, 10148])).
% 12.75/8.84 tff(10151,plain,
% 12.75/8.84 (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10150, 1275, 10103])).
% 12.75/8.84 tff(10152,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10153,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10154,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 12.75/8.84 tff(10155,plain,
% 12.75/8.84 (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10154, 1275, 10111])).
% 12.75/8.84 tff(10156,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10157,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10158,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10157, 10156])).
% 12.75/8.84 tff(10159,plain,
% 12.75/8.84 (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10158, 1275, 10119])).
% 12.75/8.84 tff(10160,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10161,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b010(bitIndex0)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10162,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b010(bitIndex0))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10161, 10160])).
% 12.75/8.84 tff(10163,plain,
% 12.75/8.84 (v130(constB39, bitIndex0) <=> b010(bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10162, 1275, 10128])).
% 12.75/8.84 tff(10164,plain,
% 12.75/8.84 ((~(v130(constB39, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB39, bitIndex0)) | b010(bitIndex0)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10165,plain,
% 12.75/8.84 ((~(v130(constB39, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB39, bitIndex0))),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10164, 1698])).
% 12.75/8.84 tff(10166,plain,
% 12.75/8.84 (~v130(constB39, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10165, 10163])).
% 12.75/8.84 tff(10167,plain,
% 12.75/8.84 ((~(v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0))) | (~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10168,plain,
% 12.75/8.84 (~v127(constB39, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10167, 10166, 10159])).
% 12.75/8.84 tff(10169,plain,
% 12.75/8.84 ((~(v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0))) | (~v129(constB40, bitIndex0)) | v127(constB39, bitIndex0)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10170,plain,
% 12.75/8.84 (~v129(constB40, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10169, 10168, 10155])).
% 12.75/8.84 tff(10171,plain,
% 12.75/8.84 ((~(v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10172,plain,
% 12.75/8.84 (~v90(constB40, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10171, 10170, 10151])).
% 12.75/8.84 tff(10173,plain,
% 12.75/8.84 ((~(v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0))) | (~v90(constB41, bitIndex0)) | v90(constB40, bitIndex0)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10174,plain,
% 12.75/8.84 (~v90(constB41, bitIndex0)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10173, 10172, 10147])).
% 12.75/8.84 tff(10175,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10176,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10177,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 12.75/8.84 tff(10178,plain,
% 12.75/8.84 (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10177, 1288, 6621])).
% 12.75/8.84 tff(10179,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10180,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10181,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 12.75/8.84 tff(10182,plain,
% 12.75/8.84 (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10181, 1288, 10103])).
% 12.75/8.84 tff(10183,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10184,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10185,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 12.75/8.84 tff(10186,plain,
% 12.75/8.84 (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10185, 1288, 10111])).
% 12.75/8.84 tff(10187,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10188,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10189,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 12.75/8.84 tff(10190,plain,
% 12.75/8.84 (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10189, 1288, 10119])).
% 12.75/8.84 tff(10191,plain,
% 12.75/8.84 (((~![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)))),
% 12.75/8.84 inference(rewrite,[status(thm)],[])).
% 12.75/8.84 tff(10192,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b010(bitIndex1)))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10193,plain,
% 12.75/8.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b010(bitIndex1))),
% 12.75/8.84 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 12.75/8.84 tff(10194,plain,
% 12.75/8.84 (v130(constB39, bitIndex1) <=> b010(bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10193, 1288, 10128])).
% 12.75/8.84 tff(10195,plain,
% 12.75/8.84 ((~(v130(constB39, bitIndex1) <=> b010(bitIndex1))) | v130(constB39, bitIndex1) | (~b010(bitIndex1))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10196,plain,
% 12.75/8.84 ((~(v130(constB39, bitIndex1) <=> b010(bitIndex1))) | v130(constB39, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10195, 1732])).
% 12.75/8.84 tff(10197,plain,
% 12.75/8.84 (v130(constB39, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10196, 10194])).
% 12.75/8.84 tff(10198,plain,
% 12.75/8.84 ((~(v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1))) | v127(constB39, bitIndex1) | (~v130(constB39, bitIndex1))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10199,plain,
% 12.75/8.84 (v127(constB39, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10198, 10197, 10190])).
% 12.75/8.84 tff(10200,plain,
% 12.75/8.84 ((~(v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1))) | v129(constB40, bitIndex1) | (~v127(constB39, bitIndex1))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10201,plain,
% 12.75/8.84 (v129(constB40, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10200, 10199, 10186])).
% 12.75/8.84 tff(10202,plain,
% 12.75/8.84 ((~(v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10203,plain,
% 12.75/8.84 (v90(constB40, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10202, 10201, 10182])).
% 12.75/8.84 tff(10204,plain,
% 12.75/8.84 ((~(v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1))) | v90(constB41, bitIndex1) | (~v90(constB40, bitIndex1))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10205,plain,
% 12.75/8.84 (v90(constB41, bitIndex1)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10204, 10203, 10178])).
% 12.75/8.84 tff(10206,plain,
% 12.75/8.84 ((~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10207,plain,
% 12.75/8.84 (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10206, 10205, 10174, 10143])).
% 12.75/8.84 tff(10208,plain,
% 12.75/8.84 ((~(v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))) | v121(constB41) | (v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10209,plain,
% 12.75/8.84 (v121(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10208, 10207, 6593])).
% 12.75/8.84 tff(10210,plain,
% 12.75/8.84 ((v118(constB41) | v121(constB41)) | (~v121(constB41))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10211,plain,
% 12.75/8.84 (v118(constB41) | v121(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10210, 10209])).
% 12.75/8.84 tff(10212,plain,
% 12.75/8.84 ((~(v117(constB41) <=> (v118(constB41) | v121(constB41)))) | v117(constB41) | (~(v118(constB41) | v121(constB41)))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10213,plain,
% 12.75/8.84 (v117(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10212, 10211, 6586])).
% 12.75/8.84 tff(10214,plain,
% 12.75/8.84 ((v117(constB41) | v122(constB41)) | (~v117(constB41))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10215,plain,
% 12.75/8.84 (v117(constB41) | v122(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10214, 10213])).
% 12.75/8.84 tff(10216,plain,
% 12.75/8.84 ((~(v116(constB41) <=> (v117(constB41) | v122(constB41)))) | v116(constB41) | (~(v117(constB41) | v122(constB41)))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10217,plain,
% 12.75/8.84 (v116(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10216, 10215, 6584])).
% 12.75/8.84 tff(10218,plain,
% 12.75/8.84 ((v116(constB41) | v123(constB41)) | (~v116(constB41))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10219,plain,
% 12.75/8.84 (v116(constB41) | v123(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10218, 10217])).
% 12.75/8.84 tff(10220,plain,
% 12.75/8.84 ((~(v115(constB41) <=> (v116(constB41) | v123(constB41)))) | v115(constB41) | (~(v116(constB41) | v123(constB41)))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10221,plain,
% 12.75/8.84 (v115(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10220, 10219, 6582])).
% 12.75/8.84 tff(10222,plain,
% 12.75/8.84 ((v115(constB41) | v124(constB41)) | (~v115(constB41))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10223,plain,
% 12.75/8.84 (v115(constB41) | v124(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10222, 10221])).
% 12.75/8.84 tff(10224,plain,
% 12.75/8.84 ((~(v114(constB41) <=> (v115(constB41) | v124(constB41)))) | v114(constB41) | (~(v115(constB41) | v124(constB41)))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10225,plain,
% 12.75/8.84 (v114(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10224, 10223, 6580])).
% 12.75/8.84 tff(10226,plain,
% 12.75/8.84 ((v114(constB41) | v125(constB41)) | (~v114(constB41))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10227,plain,
% 12.75/8.84 (v114(constB41) | v125(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10226, 10225])).
% 12.75/8.84 tff(10228,plain,
% 12.75/8.84 ((~(v113(constB41) <=> (v114(constB41) | v125(constB41)))) | v113(constB41) | (~(v114(constB41) | v125(constB41)))),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10229,plain,
% 12.75/8.84 (v113(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10228, 10227, 6578])).
% 12.75/8.84 tff(10230,plain,
% 12.75/8.84 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB41)) <=> v111(constB41))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10231,plain,
% 12.75/8.84 ((~v126(constB41)) <=> v111(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10230, 1345])).
% 12.75/8.84 tff(10232,plain,
% 12.75/8.84 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10233,plain,
% 12.75/8.84 (v111(constB41) <=> v26(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10232, 1357])).
% 12.75/8.84 tff(10234,plain,
% 12.75/8.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 12.75/8.84 inference(quant_inst,[status(thm)],[])).
% 12.75/8.84 tff(10235,plain,
% 12.75/8.84 (~v26(constB41)),
% 12.75/8.84 inference(unit_resolution,[status(thm)],[10234, 1369])).
% 12.75/8.84 tff(10236,plain,
% 12.75/8.84 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 12.75/8.84 inference(tautology,[status(thm)],[])).
% 12.75/8.84 tff(10237,plain,
% 12.75/8.84 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10236, 10235])).
% 12.75/8.85 tff(10238,plain,
% 12.75/8.85 (~v111(constB41)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10237, 10233])).
% 12.75/8.85 tff(10239,plain,
% 12.75/8.85 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41) | v111(constB41)),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10240,plain,
% 12.75/8.85 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10239, 10238])).
% 12.75/8.85 tff(10241,plain,
% 12.75/8.85 (v126(constB41)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10240, 10231])).
% 12.75/8.85 tff(10242,plain,
% 12.75/8.85 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41)) | (~v126(constB41))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10243,plain,
% 12.75/8.85 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10242, 10241])).
% 12.75/8.85 tff(10244,plain,
% 12.75/8.85 (~((~v113(constB41)) | (~v126(constB41)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10243, 10229])).
% 12.75/8.85 tff(10245,plain,
% 12.75/8.85 ((~(v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))) | v112(constB41) | ((~v113(constB41)) | (~v126(constB41)))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10246,plain,
% 12.75/8.85 (v112(constB41)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10245, 10244, 6576])).
% 12.75/8.85 tff(10247,plain,
% 12.75/8.85 ((v111(constB41) | v112(constB41)) | (~v112(constB41))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10248,plain,
% 12.75/8.85 (v111(constB41) | v112(constB41)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10247, 10246])).
% 12.75/8.85 tff(10249,plain,
% 12.75/8.85 ((~(v108(constB41) <=> (v111(constB41) | v112(constB41)))) | v108(constB41) | (~(v111(constB41) | v112(constB41)))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10250,plain,
% 12.75/8.85 (v108(constB41)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10249, 10248, 6574])).
% 12.75/8.85 tff(10251,plain,
% 12.75/8.85 ((~(v110(constB42) <=> v108(constB41))) | v110(constB42) | (~v108(constB41))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10252,plain,
% 12.75/8.85 (v110(constB42)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10251, 10250, 6572])).
% 12.75/8.85 tff(10253,plain,
% 12.75/8.85 ((~((~v101(constB42)) | (~v110(constB42)))) | (~v101(constB42)) | (~v110(constB42))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10254,plain,
% 12.75/8.85 (~((~v101(constB42)) | (~v110(constB42)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10253, 10252, 6568])).
% 12.75/8.85 tff(10255,plain,
% 12.75/8.85 ((~(v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))) | v100(constB42) | ((~v101(constB42)) | (~v110(constB42)))),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10256,plain,
% 12.75/8.85 (v100(constB42)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10255, 10254, 6537])).
% 12.75/8.85 tff(10257,plain,
% 12.75/8.85 (((~![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))))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10258,plain,
% 12.75/8.85 ((~![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))))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10259,plain,
% 12.75/8.85 ((~![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)))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10258, 10257])).
% 12.75/8.85 tff(10260,plain,
% 12.75/8.85 ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10259, 1405])).
% 12.75/8.85 tff(10261,plain,
% 12.75/8.85 (![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10260, 10256])).
% 12.75/8.85 tff(10262,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10263,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10264,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 12.75/8.85 tff(10265,plain,
% 12.75/8.85 (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10264, 579, 10261])).
% 12.75/8.85 tff(10266,plain,
% 12.75/8.85 (((~![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))))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10267,plain,
% 12.75/8.85 ((~![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))))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10268,plain,
% 12.75/8.85 ((~![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)))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10267, 10266])).
% 12.75/8.85 tff(10269,plain,
% 12.75/8.85 (![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10268, 6533, 1427])).
% 12.75/8.85 tff(10270,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10271,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10272,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 12.75/8.85 tff(10273,plain,
% 12.75/8.85 (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10272, 579, 10269])).
% 12.75/8.85 tff(10274,plain,
% 12.75/8.85 (((~![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))))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10275,plain,
% 12.75/8.85 ((~![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))))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10276,plain,
% 12.75/8.85 ((~![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)))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 12.75/8.85 tff(10277,plain,
% 12.75/8.85 (![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10276, 1448, 10238])).
% 12.75/8.85 tff(10278,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10279,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10280,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10279, 10278])).
% 12.75/8.85 tff(10281,plain,
% 12.75/8.85 (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10280, 579, 10277])).
% 12.75/8.85 tff(10282,plain,
% 12.75/8.85 (((~![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))))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10283,plain,
% 12.75/8.85 ((~![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))))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10284,plain,
% 12.75/8.85 ((~![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)))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 12.75/8.85 tff(10285,plain,
% 12.75/8.85 ((~v121(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10284, 1832])).
% 12.75/8.85 tff(10286,plain,
% 12.75/8.85 (![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10285, 10209])).
% 12.75/8.85 tff(10287,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10288,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b011(bitIndex2)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10289,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b011(bitIndex2))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 12.75/8.85 tff(10290,plain,
% 12.75/8.85 (v130(constB41, bitIndex2) <=> b011(bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10289, 579, 10286])).
% 12.75/8.85 tff(10291,plain,
% 12.75/8.85 ((~(v130(constB41, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB41, bitIndex2)) | b011(bitIndex2)),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10292,plain,
% 12.75/8.85 ((~(v130(constB41, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB41, bitIndex2))),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10291, 1844])).
% 12.75/8.85 tff(10293,plain,
% 12.75/8.85 (~v130(constB41, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10292, 10290])).
% 12.75/8.85 tff(10294,plain,
% 12.75/8.85 ((~(v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2))) | (~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10295,plain,
% 12.75/8.85 (~v127(constB41, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10294, 10293, 10281])).
% 12.75/8.85 tff(10296,plain,
% 12.75/8.85 ((~(v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2))) | (~v129(constB42, bitIndex2)) | v127(constB41, bitIndex2)),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10297,plain,
% 12.75/8.85 (~v129(constB42, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10296, 10295, 10273])).
% 12.75/8.85 tff(10298,plain,
% 12.75/8.85 ((~(v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2)),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10299,plain,
% 12.75/8.85 (~v90(constB42, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10298, 10297, 10265])).
% 12.75/8.85 tff(10300,plain,
% 12.75/8.85 ((~(v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2))) | (~v90(constB43, bitIndex2)) | v90(constB42, bitIndex2)),
% 12.75/8.85 inference(tautology,[status(thm)],[])).
% 12.75/8.85 tff(10301,plain,
% 12.75/8.85 (~v90(constB43, bitIndex2)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10300, 10299, 6530])).
% 12.75/8.85 tff(10302,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10303,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10304,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10303, 10302])).
% 12.75/8.85 tff(10305,plain,
% 12.75/8.85 (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10304, 1275, 6526])).
% 12.75/8.85 tff(10306,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10307,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10308,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 12.75/8.85 tff(10309,plain,
% 12.75/8.85 (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10308, 1275, 10261])).
% 12.75/8.85 tff(10310,plain,
% 12.75/8.85 (((~![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)))),
% 12.75/8.85 inference(rewrite,[status(thm)],[])).
% 12.75/8.85 tff(10311,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))),
% 12.75/8.85 inference(quant_inst,[status(thm)],[])).
% 12.75/8.85 tff(10312,plain,
% 12.75/8.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0))),
% 12.75/8.85 inference(modus_ponens,[status(thm)],[10311, 10310])).
% 12.75/8.85 tff(10313,plain,
% 12.75/8.85 (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)),
% 12.75/8.85 inference(unit_resolution,[status(thm)],[10312, 1275, 10269])).
% 12.83/8.86 tff(10314,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10315,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10316,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 12.83/8.86 tff(10317,plain,
% 12.83/8.86 (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10316, 1275, 10277])).
% 12.83/8.86 tff(10318,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10319,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b011(bitIndex0)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10320,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b011(bitIndex0))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10319, 10318])).
% 12.83/8.86 tff(10321,plain,
% 12.83/8.86 (v130(constB41, bitIndex0) <=> b011(bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10320, 1275, 10286])).
% 12.83/8.86 tff(10322,plain,
% 12.83/8.86 ((~(v130(constB41, bitIndex0) <=> b011(bitIndex0))) | v130(constB41, bitIndex0) | (~b011(bitIndex0))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10323,plain,
% 12.83/8.86 ((~(v130(constB41, bitIndex0) <=> b011(bitIndex0))) | v130(constB41, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10322, 1878])).
% 12.83/8.86 tff(10324,plain,
% 12.83/8.86 (v130(constB41, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10323, 10321])).
% 12.83/8.86 tff(10325,plain,
% 12.83/8.86 ((~(v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0))) | v127(constB41, bitIndex0) | (~v130(constB41, bitIndex0))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10326,plain,
% 12.83/8.86 (v127(constB41, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10325, 10324, 10317])).
% 12.83/8.86 tff(10327,plain,
% 12.83/8.86 ((~(v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0))) | v129(constB42, bitIndex0) | (~v127(constB41, bitIndex0))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10328,plain,
% 12.83/8.86 (v129(constB42, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10327, 10326, 10313])).
% 12.83/8.86 tff(10329,plain,
% 12.83/8.86 ((~(v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10330,plain,
% 12.83/8.86 (v90(constB42, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10329, 10328, 10309])).
% 12.83/8.86 tff(10331,plain,
% 12.83/8.86 ((~(v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0))) | v90(constB43, bitIndex0) | (~v90(constB42, bitIndex0))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10332,plain,
% 12.83/8.86 (v90(constB43, bitIndex0)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10331, 10330, 10305])).
% 12.83/8.86 tff(10333,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10334,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10335,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10334, 10333])).
% 12.83/8.86 tff(10336,plain,
% 12.83/8.86 (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10335, 1288, 6526])).
% 12.83/8.86 tff(10337,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10338,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10339,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 12.83/8.86 tff(10340,plain,
% 12.83/8.86 (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10339, 1288, 10261])).
% 12.83/8.86 tff(10341,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10342,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10343,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 12.83/8.86 tff(10344,plain,
% 12.83/8.86 (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10343, 1288, 10269])).
% 12.83/8.86 tff(10345,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10346,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10347,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 12.83/8.86 tff(10348,plain,
% 12.83/8.86 (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10347, 1288, 10277])).
% 12.83/8.86 tff(10349,plain,
% 12.83/8.86 (((~![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)))),
% 12.83/8.86 inference(rewrite,[status(thm)],[])).
% 12.83/8.86 tff(10350,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b011(bitIndex1)))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10351,plain,
% 12.83/8.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b011(bitIndex1))),
% 12.83/8.86 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 12.83/8.86 tff(10352,plain,
% 12.83/8.86 (v130(constB41, bitIndex1) <=> b011(bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10351, 1288, 10286])).
% 12.83/8.86 tff(10353,plain,
% 12.83/8.86 ((~(v130(constB41, bitIndex1) <=> b011(bitIndex1))) | v130(constB41, bitIndex1) | (~b011(bitIndex1))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10354,plain,
% 12.83/8.86 ((~(v130(constB41, bitIndex1) <=> b011(bitIndex1))) | v130(constB41, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10353, 1912])).
% 12.83/8.86 tff(10355,plain,
% 12.83/8.86 (v130(constB41, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10354, 10352])).
% 12.83/8.86 tff(10356,plain,
% 12.83/8.86 ((~(v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1))) | v127(constB41, bitIndex1) | (~v130(constB41, bitIndex1))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10357,plain,
% 12.83/8.86 (v127(constB41, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10356, 10355, 10348])).
% 12.83/8.86 tff(10358,plain,
% 12.83/8.86 ((~(v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1))) | v129(constB42, bitIndex1) | (~v127(constB41, bitIndex1))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10359,plain,
% 12.83/8.86 (v129(constB42, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10358, 10357, 10344])).
% 12.83/8.86 tff(10360,plain,
% 12.83/8.86 ((~(v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10361,plain,
% 12.83/8.86 (v90(constB42, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10360, 10359, 10340])).
% 12.83/8.86 tff(10362,plain,
% 12.83/8.86 ((~(v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1))) | v90(constB43, bitIndex1) | (~v90(constB42, bitIndex1))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10363,plain,
% 12.83/8.86 (v90(constB43, bitIndex1)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10362, 10361, 10336])).
% 12.83/8.86 tff(10364,plain,
% 12.83/8.86 ((~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))) | v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10365,plain,
% 12.83/8.86 (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10364, 10363, 10332, 10301])).
% 12.83/8.86 tff(10366,plain,
% 12.83/8.86 ((~(v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))) | v122(constB43) | (v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10367,plain,
% 12.83/8.86 (v122(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10366, 10365, 6498])).
% 12.83/8.86 tff(10368,plain,
% 12.83/8.86 ((v117(constB43) | v122(constB43)) | (~v122(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10369,plain,
% 12.83/8.86 (v117(constB43) | v122(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10368, 10367])).
% 12.83/8.86 tff(10370,plain,
% 12.83/8.86 ((~(v116(constB43) <=> (v117(constB43) | v122(constB43)))) | v116(constB43) | (~(v117(constB43) | v122(constB43)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10371,plain,
% 12.83/8.86 (v116(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10370, 10369, 6491])).
% 12.83/8.86 tff(10372,plain,
% 12.83/8.86 ((v116(constB43) | v123(constB43)) | (~v116(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10373,plain,
% 12.83/8.86 (v116(constB43) | v123(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10372, 10371])).
% 12.83/8.86 tff(10374,plain,
% 12.83/8.86 ((~(v115(constB43) <=> (v116(constB43) | v123(constB43)))) | v115(constB43) | (~(v116(constB43) | v123(constB43)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10375,plain,
% 12.83/8.86 (v115(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10374, 10373, 6489])).
% 12.83/8.86 tff(10376,plain,
% 12.83/8.86 ((v115(constB43) | v124(constB43)) | (~v115(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10377,plain,
% 12.83/8.86 (v115(constB43) | v124(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10376, 10375])).
% 12.83/8.86 tff(10378,plain,
% 12.83/8.86 ((~(v114(constB43) <=> (v115(constB43) | v124(constB43)))) | v114(constB43) | (~(v115(constB43) | v124(constB43)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10379,plain,
% 12.83/8.86 (v114(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10378, 10377, 6487])).
% 12.83/8.86 tff(10380,plain,
% 12.83/8.86 ((v114(constB43) | v125(constB43)) | (~v114(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10381,plain,
% 12.83/8.86 (v114(constB43) | v125(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10380, 10379])).
% 12.83/8.86 tff(10382,plain,
% 12.83/8.86 ((~(v113(constB43) <=> (v114(constB43) | v125(constB43)))) | v113(constB43) | (~(v114(constB43) | v125(constB43)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10383,plain,
% 12.83/8.86 (v113(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10382, 10381, 6485])).
% 12.83/8.86 tff(10384,plain,
% 12.83/8.86 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB43)) <=> v111(constB43))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10385,plain,
% 12.83/8.86 ((~v126(constB43)) <=> v111(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10384, 1345])).
% 12.83/8.86 tff(10386,plain,
% 12.83/8.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10387,plain,
% 12.83/8.86 (v111(constB43) <=> v26(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10386, 1357])).
% 12.83/8.86 tff(10388,plain,
% 12.83/8.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 12.83/8.86 inference(quant_inst,[status(thm)],[])).
% 12.83/8.86 tff(10389,plain,
% 12.83/8.86 (~v26(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10388, 1369])).
% 12.83/8.86 tff(10390,plain,
% 12.83/8.86 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10391,plain,
% 12.83/8.86 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10390, 10389])).
% 12.83/8.86 tff(10392,plain,
% 12.83/8.86 (~v111(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10391, 10387])).
% 12.83/8.86 tff(10393,plain,
% 12.83/8.86 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43) | v111(constB43)),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10394,plain,
% 12.83/8.86 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10393, 10392])).
% 12.83/8.86 tff(10395,plain,
% 12.83/8.86 (v126(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10394, 10385])).
% 12.83/8.86 tff(10396,plain,
% 12.83/8.86 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43)) | (~v126(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10397,plain,
% 12.83/8.86 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43))),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10396, 10395])).
% 12.83/8.86 tff(10398,plain,
% 12.83/8.86 (~((~v113(constB43)) | (~v126(constB43)))),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10397, 10383])).
% 12.83/8.86 tff(10399,plain,
% 12.83/8.86 ((~(v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))) | v112(constB43) | ((~v113(constB43)) | (~v126(constB43)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10400,plain,
% 12.83/8.86 (v112(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10399, 10398, 6483])).
% 12.83/8.86 tff(10401,plain,
% 12.83/8.86 ((v111(constB43) | v112(constB43)) | (~v112(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10402,plain,
% 12.83/8.86 (v111(constB43) | v112(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10401, 10400])).
% 12.83/8.86 tff(10403,plain,
% 12.83/8.86 ((~(v108(constB43) <=> (v111(constB43) | v112(constB43)))) | v108(constB43) | (~(v111(constB43) | v112(constB43)))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10404,plain,
% 12.83/8.86 (v108(constB43)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10403, 10402, 6481])).
% 12.83/8.86 tff(10405,plain,
% 12.83/8.86 ((~(v110(constB44) <=> v108(constB43))) | v110(constB44) | (~v108(constB43))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10406,plain,
% 12.83/8.86 (v110(constB44)),
% 12.83/8.86 inference(unit_resolution,[status(thm)],[10405, 10404, 6479])).
% 12.83/8.86 tff(10407,plain,
% 12.83/8.86 ((~((~v101(constB44)) | (~v110(constB44)))) | (~v101(constB44)) | (~v110(constB44))),
% 12.83/8.86 inference(tautology,[status(thm)],[])).
% 12.83/8.86 tff(10408,plain,
% 12.83/8.86 (~((~v101(constB44)) | (~v110(constB44)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10407, 10406, 6475])).
% 12.83/8.87 tff(10409,plain,
% 12.83/8.87 ((~(v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))) | v100(constB44) | ((~v101(constB44)) | (~v110(constB44)))),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10410,plain,
% 12.83/8.87 (v100(constB44)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10409, 10408, 6444])).
% 12.83/8.87 tff(10411,plain,
% 12.83/8.87 (((~![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))))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10412,plain,
% 12.83/8.87 ((~![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))))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10413,plain,
% 12.83/8.87 ((~![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)))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 12.83/8.87 tff(10414,plain,
% 12.83/8.87 ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10413, 1405])).
% 12.83/8.87 tff(10415,plain,
% 12.83/8.87 (![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10414, 10410])).
% 12.83/8.87 tff(10416,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10417,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10418,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 12.83/8.87 tff(10419,plain,
% 12.83/8.87 (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10418, 579, 10415])).
% 12.83/8.87 tff(10420,plain,
% 12.83/8.87 (((~![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))))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10421,plain,
% 12.83/8.87 ((~![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))))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10422,plain,
% 12.83/8.87 ((~![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)))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10421, 10420])).
% 12.83/8.87 tff(10423,plain,
% 12.83/8.87 (![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10422, 6440, 1427])).
% 12.83/8.87 tff(10424,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10425,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10426,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 12.83/8.87 tff(10427,plain,
% 12.83/8.87 (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10426, 579, 10423])).
% 12.83/8.87 tff(10428,plain,
% 12.83/8.87 (((~![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))))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10429,plain,
% 12.83/8.87 ((~![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))))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10430,plain,
% 12.83/8.87 ((~![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)))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 12.83/8.87 tff(10431,plain,
% 12.83/8.87 (![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10430, 1448, 10392])).
% 12.83/8.87 tff(10432,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10433,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10434,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 12.83/8.87 tff(10435,plain,
% 12.83/8.87 (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10434, 579, 10431])).
% 12.83/8.87 tff(10436,plain,
% 12.83/8.87 (((~![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))))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10437,plain,
% 12.83/8.87 ((~![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))))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10438,plain,
% 12.83/8.87 ((~![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)))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 12.83/8.87 tff(10439,plain,
% 12.83/8.87 ((~v122(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10438, 2008])).
% 12.83/8.87 tff(10440,plain,
% 12.83/8.87 (![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10439, 10367])).
% 12.83/8.87 tff(10441,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10442,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b100(bitIndex2)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10443,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b100(bitIndex2))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 12.83/8.87 tff(10444,plain,
% 12.83/8.87 (v130(constB43, bitIndex2) <=> b100(bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10443, 579, 10440])).
% 12.83/8.87 tff(10445,plain,
% 12.83/8.87 ((~(v130(constB43, bitIndex2) <=> b100(bitIndex2))) | v130(constB43, bitIndex2) | (~b100(bitIndex2))),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10446,plain,
% 12.83/8.87 ((~(v130(constB43, bitIndex2) <=> b100(bitIndex2))) | v130(constB43, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10445, 2020])).
% 12.83/8.87 tff(10447,plain,
% 12.83/8.87 (v130(constB43, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10446, 10444])).
% 12.83/8.87 tff(10448,plain,
% 12.83/8.87 ((~(v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2))) | v127(constB43, bitIndex2) | (~v130(constB43, bitIndex2))),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10449,plain,
% 12.83/8.87 (v127(constB43, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10448, 10447, 10435])).
% 12.83/8.87 tff(10450,plain,
% 12.83/8.87 ((~(v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2))) | v129(constB44, bitIndex2) | (~v127(constB43, bitIndex2))),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10451,plain,
% 12.83/8.87 (v129(constB44, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10450, 10449, 10427])).
% 12.83/8.87 tff(10452,plain,
% 12.83/8.87 ((~(v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10453,plain,
% 12.83/8.87 (v90(constB44, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10452, 10451, 10419])).
% 12.83/8.87 tff(10454,plain,
% 12.83/8.87 ((~(v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2))) | v90(constB45, bitIndex2) | (~v90(constB44, bitIndex2))),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10455,plain,
% 12.83/8.87 (v90(constB45, bitIndex2)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10454, 10453, 6437])).
% 12.83/8.87 tff(10456,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10457,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10458,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 12.83/8.87 tff(10459,plain,
% 12.83/8.87 (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10458, 1275, 6433])).
% 12.83/8.87 tff(10460,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10461,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10462,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 12.83/8.87 tff(10463,plain,
% 12.83/8.87 (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10462, 1275, 10415])).
% 12.83/8.87 tff(10464,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10465,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10466,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 12.83/8.87 tff(10467,plain,
% 12.83/8.87 (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10466, 1275, 10423])).
% 12.83/8.87 tff(10468,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10469,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10470,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 12.83/8.87 tff(10471,plain,
% 12.83/8.87 (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10470, 1275, 10431])).
% 12.83/8.87 tff(10472,plain,
% 12.83/8.87 (((~![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)))),
% 12.83/8.87 inference(rewrite,[status(thm)],[])).
% 12.83/8.87 tff(10473,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b100(bitIndex0)))),
% 12.83/8.87 inference(quant_inst,[status(thm)],[])).
% 12.83/8.87 tff(10474,plain,
% 12.83/8.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b100(bitIndex0))),
% 12.83/8.87 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 12.83/8.87 tff(10475,plain,
% 12.83/8.87 (v130(constB43, bitIndex0) <=> b100(bitIndex0)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10474, 1275, 10440])).
% 12.83/8.87 tff(10476,plain,
% 12.83/8.87 ((~(v130(constB43, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB43, bitIndex0)) | b100(bitIndex0)),
% 12.83/8.87 inference(tautology,[status(thm)],[])).
% 12.83/8.87 tff(10477,plain,
% 12.83/8.87 ((~(v130(constB43, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB43, bitIndex0))),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10476, 2054])).
% 12.83/8.87 tff(10478,plain,
% 12.83/8.87 (~v130(constB43, bitIndex0)),
% 12.83/8.87 inference(unit_resolution,[status(thm)],[10477, 10475])).
% 12.83/8.88 tff(10479,plain,
% 12.83/8.88 ((~(v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0))) | (~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10480,plain,
% 12.83/8.88 (~v127(constB43, bitIndex0)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10479, 10478, 10471])).
% 12.83/8.88 tff(10481,plain,
% 12.83/8.88 ((~(v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0))) | (~v129(constB44, bitIndex0)) | v127(constB43, bitIndex0)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10482,plain,
% 12.83/8.88 (~v129(constB44, bitIndex0)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10481, 10480, 10467])).
% 12.83/8.88 tff(10483,plain,
% 12.83/8.88 ((~(v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10484,plain,
% 12.83/8.88 (~v90(constB44, bitIndex0)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10483, 10482, 10463])).
% 12.83/8.88 tff(10485,plain,
% 12.83/8.88 ((~(v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0))) | (~v90(constB45, bitIndex0)) | v90(constB44, bitIndex0)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10486,plain,
% 12.83/8.88 (~v90(constB45, bitIndex0)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10485, 10484, 10459])).
% 12.83/8.88 tff(10487,plain,
% 12.83/8.88 (((~![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)))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10488,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10489,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10488, 10487])).
% 12.83/8.88 tff(10490,plain,
% 12.83/8.88 (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10489, 1288, 6433])).
% 12.83/8.88 tff(10491,plain,
% 12.83/8.88 (((~![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)))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10492,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10493,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 12.83/8.88 tff(10494,plain,
% 12.83/8.88 (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10493, 1288, 10415])).
% 12.83/8.88 tff(10495,plain,
% 12.83/8.88 (((~![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)))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10496,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10497,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10496, 10495])).
% 12.83/8.88 tff(10498,plain,
% 12.83/8.88 (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10497, 1288, 10423])).
% 12.83/8.88 tff(10499,plain,
% 12.83/8.88 (((~![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)))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10500,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10501,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10500, 10499])).
% 12.83/8.88 tff(10502,plain,
% 12.83/8.88 (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10501, 1288, 10431])).
% 12.83/8.88 tff(10503,plain,
% 12.83/8.88 (((~![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)))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10504,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b100(bitIndex1)))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10505,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b100(bitIndex1))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10504, 10503])).
% 12.83/8.88 tff(10506,plain,
% 12.83/8.88 (v130(constB43, bitIndex1) <=> b100(bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10505, 1288, 10440])).
% 12.83/8.88 tff(10507,plain,
% 12.83/8.88 ((~(v130(constB43, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB43, bitIndex1)) | b100(bitIndex1)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10508,plain,
% 12.83/8.88 ((~(v130(constB43, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB43, bitIndex1))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10507, 2088])).
% 12.83/8.88 tff(10509,plain,
% 12.83/8.88 (~v130(constB43, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10508, 10506])).
% 12.83/8.88 tff(10510,plain,
% 12.83/8.88 ((~(v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1))) | (~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10511,plain,
% 12.83/8.88 (~v127(constB43, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10510, 10509, 10502])).
% 12.83/8.88 tff(10512,plain,
% 12.83/8.88 ((~(v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1))) | (~v129(constB44, bitIndex1)) | v127(constB43, bitIndex1)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10513,plain,
% 12.83/8.88 (~v129(constB44, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10512, 10511, 10498])).
% 12.83/8.88 tff(10514,plain,
% 12.83/8.88 ((~(v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10515,plain,
% 12.83/8.88 (~v90(constB44, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10514, 10513, 10494])).
% 12.83/8.88 tff(10516,plain,
% 12.83/8.88 ((~(v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1))) | (~v90(constB45, bitIndex1)) | v90(constB44, bitIndex1)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10517,plain,
% 12.83/8.88 (~v90(constB45, bitIndex1)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10516, 10515, 10490])).
% 12.83/8.88 tff(10518,plain,
% 12.83/8.88 ((~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10519,plain,
% 12.83/8.88 (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10518, 10517, 10486, 10455])).
% 12.83/8.88 tff(10520,plain,
% 12.83/8.88 ((~(v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))) | v123(constB45) | ((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10521,plain,
% 12.83/8.88 (v123(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10520, 10519, 6405])).
% 12.83/8.88 tff(10522,plain,
% 12.83/8.88 ((v116(constB45) | v123(constB45)) | (~v123(constB45))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10523,plain,
% 12.83/8.88 (v116(constB45) | v123(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10522, 10521])).
% 12.83/8.88 tff(10524,plain,
% 12.83/8.88 ((~(v115(constB45) <=> (v116(constB45) | v123(constB45)))) | v115(constB45) | (~(v116(constB45) | v123(constB45)))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10525,plain,
% 12.83/8.88 (v115(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10524, 10523, 6398])).
% 12.83/8.88 tff(10526,plain,
% 12.83/8.88 ((v115(constB45) | v124(constB45)) | (~v115(constB45))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10527,plain,
% 12.83/8.88 (v115(constB45) | v124(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10526, 10525])).
% 12.83/8.88 tff(10528,plain,
% 12.83/8.88 ((~(v114(constB45) <=> (v115(constB45) | v124(constB45)))) | v114(constB45) | (~(v115(constB45) | v124(constB45)))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10529,plain,
% 12.83/8.88 (v114(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10528, 10527, 6396])).
% 12.83/8.88 tff(10530,plain,
% 12.83/8.88 ((v114(constB45) | v125(constB45)) | (~v114(constB45))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10531,plain,
% 12.83/8.88 (v114(constB45) | v125(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10530, 10529])).
% 12.83/8.88 tff(10532,plain,
% 12.83/8.88 ((~(v113(constB45) <=> (v114(constB45) | v125(constB45)))) | v113(constB45) | (~(v114(constB45) | v125(constB45)))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10533,plain,
% 12.83/8.88 (v113(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10532, 10531, 6394])).
% 12.83/8.88 tff(10534,plain,
% 12.83/8.88 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB45)) <=> v111(constB45))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10535,plain,
% 12.83/8.88 ((~v126(constB45)) <=> v111(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10534, 1345])).
% 12.83/8.88 tff(10536,plain,
% 12.83/8.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10537,plain,
% 12.83/8.88 (v111(constB45) <=> v26(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10536, 1357])).
% 12.83/8.88 tff(10538,plain,
% 12.83/8.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10539,plain,
% 12.83/8.88 (~v26(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10538, 1369])).
% 12.83/8.88 tff(10540,plain,
% 12.83/8.88 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10541,plain,
% 12.83/8.88 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10540, 10539])).
% 12.83/8.88 tff(10542,plain,
% 12.83/8.88 (~v111(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10541, 10537])).
% 12.83/8.88 tff(10543,plain,
% 12.83/8.88 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45) | v111(constB45)),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10544,plain,
% 12.83/8.88 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10543, 10542])).
% 12.83/8.88 tff(10545,plain,
% 12.83/8.88 (v126(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10544, 10535])).
% 12.83/8.88 tff(10546,plain,
% 12.83/8.88 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45)) | (~v126(constB45))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10547,plain,
% 12.83/8.88 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10546, 10545])).
% 12.83/8.88 tff(10548,plain,
% 12.83/8.88 (~((~v113(constB45)) | (~v126(constB45)))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10547, 10533])).
% 12.83/8.88 tff(10549,plain,
% 12.83/8.88 ((~(v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))) | v112(constB45) | ((~v113(constB45)) | (~v126(constB45)))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10550,plain,
% 12.83/8.88 (v112(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10549, 10548, 6392])).
% 12.83/8.88 tff(10551,plain,
% 12.83/8.88 ((v111(constB45) | v112(constB45)) | (~v112(constB45))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10552,plain,
% 12.83/8.88 (v111(constB45) | v112(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10551, 10550])).
% 12.83/8.88 tff(10553,plain,
% 12.83/8.88 ((~(v108(constB45) <=> (v111(constB45) | v112(constB45)))) | v108(constB45) | (~(v111(constB45) | v112(constB45)))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10554,plain,
% 12.83/8.88 (v108(constB45)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10553, 10552, 6390])).
% 12.83/8.88 tff(10555,plain,
% 12.83/8.88 ((~(v110(constB46) <=> v108(constB45))) | v110(constB46) | (~v108(constB45))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10556,plain,
% 12.83/8.88 (v110(constB46)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10555, 10554, 6388])).
% 12.83/8.88 tff(10557,plain,
% 12.83/8.88 ((~((~v101(constB46)) | (~v110(constB46)))) | (~v101(constB46)) | (~v110(constB46))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10558,plain,
% 12.83/8.88 (~((~v101(constB46)) | (~v110(constB46)))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10557, 10556, 6384])).
% 12.83/8.88 tff(10559,plain,
% 12.83/8.88 ((~(v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))) | v100(constB46) | ((~v101(constB46)) | (~v110(constB46)))),
% 12.83/8.88 inference(tautology,[status(thm)],[])).
% 12.83/8.88 tff(10560,plain,
% 12.83/8.88 (v100(constB46)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10559, 10558, 6353])).
% 12.83/8.88 tff(10561,plain,
% 12.83/8.88 (((~![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))))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10562,plain,
% 12.83/8.88 ((~![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))))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10563,plain,
% 12.83/8.88 ((~![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)))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 12.83/8.88 tff(10564,plain,
% 12.83/8.88 ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10563, 1405])).
% 12.83/8.88 tff(10565,plain,
% 12.83/8.88 (![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10564, 10560])).
% 12.83/8.88 tff(10566,plain,
% 12.83/8.88 (((~![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)))),
% 12.83/8.88 inference(rewrite,[status(thm)],[])).
% 12.83/8.88 tff(10567,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))),
% 12.83/8.88 inference(quant_inst,[status(thm)],[])).
% 12.83/8.88 tff(10568,plain,
% 12.83/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2))),
% 12.83/8.88 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 12.83/8.88 tff(10569,plain,
% 12.83/8.88 (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)),
% 12.83/8.88 inference(unit_resolution,[status(thm)],[10568, 579, 10565])).
% 12.83/8.88 tff(10570,plain,
% 12.83/8.88 (((~![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))))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10571,plain,
% 12.83/8.89 ((~![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))))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10572,plain,
% 12.83/8.89 ((~![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)))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10571, 10570])).
% 12.83/8.89 tff(10573,plain,
% 12.83/8.89 (![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10572, 6349, 1427])).
% 12.83/8.89 tff(10574,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10575,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10576,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10575, 10574])).
% 12.83/8.89 tff(10577,plain,
% 12.83/8.89 (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10576, 579, 10573])).
% 12.83/8.89 tff(10578,plain,
% 12.83/8.89 (((~![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))))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10579,plain,
% 12.83/8.89 ((~![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))))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10580,plain,
% 12.83/8.89 ((~![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)))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10579, 10578])).
% 12.83/8.89 tff(10581,plain,
% 12.83/8.89 (![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10580, 1448, 10542])).
% 12.83/8.89 tff(10582,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10583,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10584,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10583, 10582])).
% 12.83/8.89 tff(10585,plain,
% 12.83/8.89 (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10584, 579, 10581])).
% 12.83/8.89 tff(10586,plain,
% 12.83/8.89 (((~![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))))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10587,plain,
% 12.83/8.89 ((~![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))))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10588,plain,
% 12.83/8.89 ((~![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)))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10587, 10586])).
% 12.83/8.89 tff(10589,plain,
% 12.83/8.89 ((~v123(constB45)) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10588, 2180])).
% 12.83/8.89 tff(10590,plain,
% 12.83/8.89 (![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10589, 10521])).
% 12.83/8.89 tff(10591,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10592,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b101(bitIndex2)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10593,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b101(bitIndex2))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 12.83/8.89 tff(10594,plain,
% 12.83/8.89 (v130(constB45, bitIndex2) <=> b101(bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10593, 579, 10590])).
% 12.83/8.89 tff(10595,plain,
% 12.83/8.89 ((~(v130(constB45, bitIndex2) <=> b101(bitIndex2))) | v130(constB45, bitIndex2) | (~b101(bitIndex2))),
% 12.83/8.89 inference(tautology,[status(thm)],[])).
% 12.83/8.89 tff(10596,plain,
% 12.83/8.89 ((~(v130(constB45, bitIndex2) <=> b101(bitIndex2))) | v130(constB45, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10595, 2192])).
% 12.83/8.89 tff(10597,plain,
% 12.83/8.89 (v130(constB45, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10596, 10594])).
% 12.83/8.89 tff(10598,plain,
% 12.83/8.89 ((~(v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2))) | v127(constB45, bitIndex2) | (~v130(constB45, bitIndex2))),
% 12.83/8.89 inference(tautology,[status(thm)],[])).
% 12.83/8.89 tff(10599,plain,
% 12.83/8.89 (v127(constB45, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10598, 10597, 10585])).
% 12.83/8.89 tff(10600,plain,
% 12.83/8.89 ((~(v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2))) | v129(constB46, bitIndex2) | (~v127(constB45, bitIndex2))),
% 12.83/8.89 inference(tautology,[status(thm)],[])).
% 12.83/8.89 tff(10601,plain,
% 12.83/8.89 (v129(constB46, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10600, 10599, 10577])).
% 12.83/8.89 tff(10602,plain,
% 12.83/8.89 ((~(v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2))),
% 12.83/8.89 inference(tautology,[status(thm)],[])).
% 12.83/8.89 tff(10603,plain,
% 12.83/8.89 (v90(constB46, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10602, 10601, 10569])).
% 12.83/8.89 tff(10604,plain,
% 12.83/8.89 ((~(v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2))) | v90(constB47, bitIndex2) | (~v90(constB46, bitIndex2))),
% 12.83/8.89 inference(tautology,[status(thm)],[])).
% 12.83/8.89 tff(10605,plain,
% 12.83/8.89 (v90(constB47, bitIndex2)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10604, 10603, 6346])).
% 12.83/8.89 tff(10606,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10607,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10608,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10607, 10606])).
% 12.83/8.89 tff(10609,plain,
% 12.83/8.89 (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10608, 1275, 6342])).
% 12.83/8.89 tff(10610,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10611,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10612,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 12.83/8.89 tff(10613,plain,
% 12.83/8.89 (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10612, 1275, 10565])).
% 12.83/8.89 tff(10614,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10615,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10616,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10615, 10614])).
% 12.83/8.89 tff(10617,plain,
% 12.83/8.89 (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10616, 1275, 10573])).
% 12.83/8.89 tff(10618,plain,
% 12.83/8.89 (((~![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)))),
% 12.83/8.89 inference(rewrite,[status(thm)],[])).
% 12.83/8.89 tff(10619,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))),
% 12.83/8.89 inference(quant_inst,[status(thm)],[])).
% 12.83/8.89 tff(10620,plain,
% 12.83/8.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0))),
% 12.83/8.89 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 12.83/8.89 tff(10621,plain,
% 12.83/8.89 (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)),
% 12.83/8.89 inference(unit_resolution,[status(thm)],[10620, 1275, 10581])).
% 12.83/8.89 tff(10622,plain,
% 12.83/8.89 (((~![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)))),
% 12.87/8.89 inference(rewrite,[status(thm)],[])).
% 12.87/8.89 tff(10623,plain,
% 12.87/8.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b101(bitIndex0)))),
% 12.87/8.89 inference(quant_inst,[status(thm)],[])).
% 12.87/8.89 tff(10624,plain,
% 12.87/8.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b101(bitIndex0))),
% 12.87/8.89 inference(modus_ponens,[status(thm)],[10623, 10622])).
% 12.87/8.89 tff(10625,plain,
% 12.87/8.89 (v130(constB45, bitIndex0) <=> b101(bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10624, 1275, 10590])).
% 12.87/8.89 tff(10626,plain,
% 12.87/8.89 ((~(v130(constB45, bitIndex0) <=> b101(bitIndex0))) | v130(constB45, bitIndex0) | (~b101(bitIndex0))),
% 12.87/8.89 inference(tautology,[status(thm)],[])).
% 12.87/8.89 tff(10627,plain,
% 12.87/8.89 ((~(v130(constB45, bitIndex0) <=> b101(bitIndex0))) | v130(constB45, bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10626, 2351])).
% 12.87/8.89 tff(10628,plain,
% 12.87/8.89 (v130(constB45, bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10627, 10625])).
% 12.87/8.89 tff(10629,plain,
% 12.87/8.89 ((~(v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0))) | v127(constB45, bitIndex0) | (~v130(constB45, bitIndex0))),
% 12.87/8.89 inference(tautology,[status(thm)],[])).
% 12.87/8.89 tff(10630,plain,
% 12.87/8.89 (v127(constB45, bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10629, 10628, 10621])).
% 12.87/8.89 tff(10631,plain,
% 12.87/8.89 ((~(v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0))) | v129(constB46, bitIndex0) | (~v127(constB45, bitIndex0))),
% 12.87/8.89 inference(tautology,[status(thm)],[])).
% 12.87/8.89 tff(10632,plain,
% 12.87/8.89 (v129(constB46, bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10631, 10630, 10617])).
% 12.87/8.89 tff(10633,plain,
% 12.87/8.89 ((~(v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 12.87/8.89 inference(tautology,[status(thm)],[])).
% 12.87/8.89 tff(10634,plain,
% 12.87/8.89 (v90(constB46, bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10633, 10632, 10613])).
% 12.87/8.89 tff(10635,plain,
% 12.87/8.89 ((~(v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0))) | v90(constB47, bitIndex0) | (~v90(constB46, bitIndex0))),
% 12.87/8.89 inference(tautology,[status(thm)],[])).
% 12.87/8.89 tff(10636,plain,
% 12.87/8.89 (v90(constB47, bitIndex0)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10635, 10634, 10609])).
% 12.87/8.89 tff(10637,plain,
% 12.87/8.89 (((~![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)))),
% 12.87/8.89 inference(rewrite,[status(thm)],[])).
% 12.87/8.89 tff(10638,plain,
% 12.87/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))),
% 12.87/8.89 inference(quant_inst,[status(thm)],[])).
% 12.87/8.89 tff(10639,plain,
% 12.87/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1))),
% 12.87/8.89 inference(modus_ponens,[status(thm)],[10638, 10637])).
% 12.87/8.89 tff(10640,plain,
% 12.87/8.89 (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)),
% 12.87/8.89 inference(unit_resolution,[status(thm)],[10639, 1288, 6342])).
% 12.87/8.89 tff(10641,plain,
% 12.87/8.89 (((~![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)))),
% 12.87/8.89 inference(rewrite,[status(thm)],[])).
% 12.87/8.89 tff(10642,plain,
% 12.87/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))),
% 12.87/8.89 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10643,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1))),
% 12.87/8.90 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 12.87/8.90 tff(10644,plain,
% 12.87/8.90 (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10643, 1288, 10565])).
% 12.87/8.90 tff(10645,plain,
% 12.87/8.90 (((~![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)))),
% 12.87/8.90 inference(rewrite,[status(thm)],[])).
% 12.87/8.90 tff(10646,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10647,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1))),
% 12.87/8.90 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 12.87/8.90 tff(10648,plain,
% 12.87/8.90 (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10647, 1288, 10573])).
% 12.87/8.90 tff(10649,plain,
% 12.87/8.90 (((~![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)))),
% 12.87/8.90 inference(rewrite,[status(thm)],[])).
% 12.87/8.90 tff(10650,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10651,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1))),
% 12.87/8.90 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 12.87/8.90 tff(10652,plain,
% 12.87/8.90 (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10651, 1288, 10581])).
% 12.87/8.90 tff(10653,plain,
% 12.87/8.90 (((~![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)))),
% 12.87/8.90 inference(rewrite,[status(thm)],[])).
% 12.87/8.90 tff(10654,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b101(bitIndex1)))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10655,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b101(bitIndex1))),
% 12.87/8.90 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 12.87/8.90 tff(10656,plain,
% 12.87/8.90 (v130(constB45, bitIndex1) <=> b101(bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10655, 1288, 10590])).
% 12.87/8.90 tff(10657,plain,
% 12.87/8.90 ((~(v130(constB45, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB45, bitIndex1)) | b101(bitIndex1)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10658,plain,
% 12.87/8.90 ((~(v130(constB45, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB45, bitIndex1))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10657, 2391])).
% 12.87/8.90 tff(10659,plain,
% 12.87/8.90 (~v130(constB45, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10658, 10656])).
% 12.87/8.90 tff(10660,plain,
% 12.87/8.90 ((~(v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1))) | (~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10661,plain,
% 12.87/8.90 (~v127(constB45, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10660, 10659, 10652])).
% 12.87/8.90 tff(10662,plain,
% 12.87/8.90 ((~(v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1))) | (~v129(constB46, bitIndex1)) | v127(constB45, bitIndex1)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10663,plain,
% 12.87/8.90 (~v129(constB46, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10662, 10661, 10648])).
% 12.87/8.90 tff(10664,plain,
% 12.87/8.90 ((~(v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10665,plain,
% 12.87/8.90 (~v90(constB46, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10664, 10663, 10644])).
% 12.87/8.90 tff(10666,plain,
% 12.87/8.90 ((~(v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1))) | (~v90(constB47, bitIndex1)) | v90(constB46, bitIndex1)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10667,plain,
% 12.87/8.90 (~v90(constB47, bitIndex1)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10666, 10665, 10640])).
% 12.87/8.90 tff(10668,plain,
% 12.87/8.90 ((~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))) | (~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10669,plain,
% 12.87/8.90 (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10668, 10667, 10636, 10605])).
% 12.87/8.90 tff(10670,plain,
% 12.87/8.90 ((~(v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))) | v124(constB47) | ((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10671,plain,
% 12.87/8.90 (v124(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10670, 10669, 6314])).
% 12.87/8.90 tff(10672,plain,
% 12.87/8.90 ((v115(constB47) | v124(constB47)) | (~v124(constB47))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10673,plain,
% 12.87/8.90 (v115(constB47) | v124(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10672, 10671])).
% 12.87/8.90 tff(10674,plain,
% 12.87/8.90 ((~(v114(constB47) <=> (v115(constB47) | v124(constB47)))) | v114(constB47) | (~(v115(constB47) | v124(constB47)))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10675,plain,
% 12.87/8.90 (v114(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10674, 10673, 6307])).
% 12.87/8.90 tff(10676,plain,
% 12.87/8.90 ((v114(constB47) | v125(constB47)) | (~v114(constB47))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10677,plain,
% 12.87/8.90 (v114(constB47) | v125(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10676, 10675])).
% 12.87/8.90 tff(10678,plain,
% 12.87/8.90 ((~(v113(constB47) <=> (v114(constB47) | v125(constB47)))) | v113(constB47) | (~(v114(constB47) | v125(constB47)))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10679,plain,
% 12.87/8.90 (v113(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10678, 10677, 6305])).
% 12.87/8.90 tff(10680,plain,
% 12.87/8.90 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB47)) <=> v111(constB47))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10681,plain,
% 12.87/8.90 ((~v126(constB47)) <=> v111(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10680, 1345])).
% 12.87/8.90 tff(10682,plain,
% 12.87/8.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10683,plain,
% 12.87/8.90 (v111(constB47) <=> v26(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10682, 1357])).
% 12.87/8.90 tff(10684,plain,
% 12.87/8.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10685,plain,
% 12.87/8.90 (~v26(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10684, 1369])).
% 12.87/8.90 tff(10686,plain,
% 12.87/8.90 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10687,plain,
% 12.87/8.90 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10686, 10685])).
% 12.87/8.90 tff(10688,plain,
% 12.87/8.90 (~v111(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10687, 10683])).
% 12.87/8.90 tff(10689,plain,
% 12.87/8.90 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47) | v111(constB47)),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10690,plain,
% 12.87/8.90 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10689, 10688])).
% 12.87/8.90 tff(10691,plain,
% 12.87/8.90 (v126(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10690, 10681])).
% 12.87/8.90 tff(10692,plain,
% 12.87/8.90 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47)) | (~v126(constB47))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10693,plain,
% 12.87/8.90 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10692, 10691])).
% 12.87/8.90 tff(10694,plain,
% 12.87/8.90 (~((~v113(constB47)) | (~v126(constB47)))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10693, 10679])).
% 12.87/8.90 tff(10695,plain,
% 12.87/8.90 ((~(v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))) | v112(constB47) | ((~v113(constB47)) | (~v126(constB47)))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10696,plain,
% 12.87/8.90 (v112(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10695, 10694, 6303])).
% 12.87/8.90 tff(10697,plain,
% 12.87/8.90 ((v111(constB47) | v112(constB47)) | (~v112(constB47))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10698,plain,
% 12.87/8.90 (v111(constB47) | v112(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10697, 10696])).
% 12.87/8.90 tff(10699,plain,
% 12.87/8.90 ((~(v108(constB47) <=> (v111(constB47) | v112(constB47)))) | v108(constB47) | (~(v111(constB47) | v112(constB47)))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10700,plain,
% 12.87/8.90 (v108(constB47)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10699, 10698, 6301])).
% 12.87/8.90 tff(10701,plain,
% 12.87/8.90 ((~(v110(constB48) <=> v108(constB47))) | v110(constB48) | (~v108(constB47))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10702,plain,
% 12.87/8.90 (v110(constB48)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10701, 10700, 6299])).
% 12.87/8.90 tff(10703,plain,
% 12.87/8.90 ((~((~v101(constB48)) | (~v110(constB48)))) | (~v101(constB48)) | (~v110(constB48))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10704,plain,
% 12.87/8.90 (~((~v101(constB48)) | (~v110(constB48)))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10703, 10702, 6295])).
% 12.87/8.90 tff(10705,plain,
% 12.87/8.90 ((~(v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))) | v100(constB48) | ((~v101(constB48)) | (~v110(constB48)))),
% 12.87/8.90 inference(tautology,[status(thm)],[])).
% 12.87/8.90 tff(10706,plain,
% 12.87/8.90 (v100(constB48)),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10705, 10704, 6264])).
% 12.87/8.90 tff(10707,plain,
% 12.87/8.90 (((~![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))))),
% 12.87/8.90 inference(rewrite,[status(thm)],[])).
% 12.87/8.90 tff(10708,plain,
% 12.87/8.90 ((~![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))))),
% 12.87/8.90 inference(quant_inst,[status(thm)],[])).
% 12.87/8.90 tff(10709,plain,
% 12.87/8.90 ((~![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)))),
% 12.87/8.90 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 12.87/8.90 tff(10710,plain,
% 12.87/8.90 ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10709, 1405])).
% 12.87/8.90 tff(10711,plain,
% 12.87/8.90 (![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 12.87/8.90 inference(unit_resolution,[status(thm)],[10710, 10706])).
% 12.87/8.90 tff(10712,plain,
% 12.87/8.90 (((~![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)))),
% 12.87/8.90 inference(rewrite,[status(thm)],[])).
% 12.87/8.90 tff(10713,plain,
% 12.87/8.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10714,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 12.87/8.91 tff(10715,plain,
% 12.87/8.91 (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10714, 579, 10711])).
% 12.87/8.91 tff(10716,plain,
% 12.87/8.91 (((~![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))))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10717,plain,
% 12.87/8.91 ((~![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))))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10718,plain,
% 12.87/8.91 ((~![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)))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 12.87/8.91 tff(10719,plain,
% 12.87/8.91 (![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10718, 6260, 1427])).
% 12.87/8.91 tff(10720,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10721,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10722,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 12.87/8.91 tff(10723,plain,
% 12.87/8.91 (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10722, 579, 10719])).
% 12.87/8.91 tff(10724,plain,
% 12.87/8.91 (((~![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))))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10725,plain,
% 12.87/8.91 ((~![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))))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10726,plain,
% 12.87/8.91 ((~![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)))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 12.87/8.91 tff(10727,plain,
% 12.87/8.91 (![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10726, 1448, 10688])).
% 12.87/8.91 tff(10728,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10729,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10730,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 12.87/8.91 tff(10731,plain,
% 12.87/8.91 (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10730, 579, 10727])).
% 12.87/8.91 tff(10732,plain,
% 12.87/8.91 (((~![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))))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10733,plain,
% 12.87/8.91 ((~![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))))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10734,plain,
% 12.87/8.91 ((~![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)))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 12.87/8.91 tff(10735,plain,
% 12.87/8.91 ((~v124(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10734, 2735])).
% 12.87/8.91 tff(10736,plain,
% 12.87/8.91 (![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10735, 10671])).
% 12.87/8.91 tff(10737,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10738,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b110(bitIndex2)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10739,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b110(bitIndex2))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10738, 10737])).
% 12.87/8.91 tff(10740,plain,
% 12.87/8.91 (v130(constB47, bitIndex2) <=> b110(bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10739, 579, 10736])).
% 12.87/8.91 tff(10741,plain,
% 12.87/8.91 ((~(v130(constB47, bitIndex2) <=> b110(bitIndex2))) | v130(constB47, bitIndex2) | (~b110(bitIndex2))),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10742,plain,
% 12.87/8.91 ((~(v130(constB47, bitIndex2) <=> b110(bitIndex2))) | v130(constB47, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10741, 2747])).
% 12.87/8.91 tff(10743,plain,
% 12.87/8.91 (v130(constB47, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10742, 10740])).
% 12.87/8.91 tff(10744,plain,
% 12.87/8.91 ((~(v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2))) | v127(constB47, bitIndex2) | (~v130(constB47, bitIndex2))),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10745,plain,
% 12.87/8.91 (v127(constB47, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10744, 10743, 10731])).
% 12.87/8.91 tff(10746,plain,
% 12.87/8.91 ((~(v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2))) | v129(constB48, bitIndex2) | (~v127(constB47, bitIndex2))),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10747,plain,
% 12.87/8.91 (v129(constB48, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10746, 10745, 10723])).
% 12.87/8.91 tff(10748,plain,
% 12.87/8.91 ((~(v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2))),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10749,plain,
% 12.87/8.91 (v90(constB48, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10748, 10747, 10715])).
% 12.87/8.91 tff(10750,plain,
% 12.87/8.91 ((~(v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2))) | v90(constB49, bitIndex2) | (~v90(constB48, bitIndex2))),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10751,plain,
% 12.87/8.91 (v90(constB49, bitIndex2)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10750, 10749, 6257])).
% 12.87/8.91 tff(10752,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10753,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10754,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 12.87/8.91 tff(10755,plain,
% 12.87/8.91 (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10754, 1275, 6253])).
% 12.87/8.91 tff(10756,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10757,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10758,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 12.87/8.91 tff(10759,plain,
% 12.87/8.91 (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10758, 1275, 10711])).
% 12.87/8.91 tff(10760,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10761,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10762,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10761, 10760])).
% 12.87/8.91 tff(10763,plain,
% 12.87/8.91 (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10762, 1275, 10719])).
% 12.87/8.91 tff(10764,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10765,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10766,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 12.87/8.91 tff(10767,plain,
% 12.87/8.91 (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10766, 1275, 10727])).
% 12.87/8.91 tff(10768,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10769,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b110(bitIndex0)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10770,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b110(bitIndex0))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10769, 10768])).
% 12.87/8.91 tff(10771,plain,
% 12.87/8.91 (v130(constB47, bitIndex0) <=> b110(bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10770, 1275, 10736])).
% 12.87/8.91 tff(10772,plain,
% 12.87/8.91 ((~(v130(constB47, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB47, bitIndex0)) | b110(bitIndex0)),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10773,plain,
% 12.87/8.91 ((~(v130(constB47, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB47, bitIndex0))),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10772, 2862])).
% 12.87/8.91 tff(10774,plain,
% 12.87/8.91 (~v130(constB47, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10773, 10771])).
% 12.87/8.91 tff(10775,plain,
% 12.87/8.91 ((~(v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0))) | (~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10776,plain,
% 12.87/8.91 (~v127(constB47, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10775, 10774, 10767])).
% 12.87/8.91 tff(10777,plain,
% 12.87/8.91 ((~(v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0))) | (~v129(constB48, bitIndex0)) | v127(constB47, bitIndex0)),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10778,plain,
% 12.87/8.91 (~v129(constB48, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10777, 10776, 10763])).
% 12.87/8.91 tff(10779,plain,
% 12.87/8.91 ((~(v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10780,plain,
% 12.87/8.91 (~v90(constB48, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10779, 10778, 10759])).
% 12.87/8.91 tff(10781,plain,
% 12.87/8.91 ((~(v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0))) | (~v90(constB49, bitIndex0)) | v90(constB48, bitIndex0)),
% 12.87/8.91 inference(tautology,[status(thm)],[])).
% 12.87/8.91 tff(10782,plain,
% 12.87/8.91 (~v90(constB49, bitIndex0)),
% 12.87/8.91 inference(unit_resolution,[status(thm)],[10781, 10780, 10755])).
% 12.87/8.91 tff(10783,plain,
% 12.87/8.91 (((~![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)))),
% 12.87/8.91 inference(rewrite,[status(thm)],[])).
% 12.87/8.91 tff(10784,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))),
% 12.87/8.91 inference(quant_inst,[status(thm)],[])).
% 12.87/8.91 tff(10785,plain,
% 12.87/8.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1))),
% 12.87/8.91 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 12.87/8.91 tff(10786,plain,
% 12.87/8.92 (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10785, 1288, 6253])).
% 12.87/8.92 tff(10787,plain,
% 12.87/8.92 (((~![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)))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10788,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10789,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10788, 10787])).
% 12.87/8.92 tff(10790,plain,
% 12.87/8.92 (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10789, 1288, 10711])).
% 12.87/8.92 tff(10791,plain,
% 12.87/8.92 (((~![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)))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10792,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10793,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 12.87/8.92 tff(10794,plain,
% 12.87/8.92 (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10793, 1288, 10719])).
% 12.87/8.92 tff(10795,plain,
% 12.87/8.92 (((~![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)))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10796,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10797,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 12.87/8.92 tff(10798,plain,
% 12.87/8.92 (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10797, 1288, 10727])).
% 12.87/8.92 tff(10799,plain,
% 12.87/8.92 (((~![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)))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10800,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b110(bitIndex1)))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10801,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b110(bitIndex1))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 12.87/8.92 tff(10802,plain,
% 12.87/8.92 (v130(constB47, bitIndex1) <=> b110(bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10801, 1288, 10736])).
% 12.87/8.92 tff(10803,plain,
% 12.87/8.92 ((~(v130(constB47, bitIndex1) <=> b110(bitIndex1))) | v130(constB47, bitIndex1) | (~b110(bitIndex1))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10804,plain,
% 12.87/8.92 ((~(v130(constB47, bitIndex1) <=> b110(bitIndex1))) | v130(constB47, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10803, 2902])).
% 12.87/8.92 tff(10805,plain,
% 12.87/8.92 (v130(constB47, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10804, 10802])).
% 12.87/8.92 tff(10806,plain,
% 12.87/8.92 ((~(v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1))) | v127(constB47, bitIndex1) | (~v130(constB47, bitIndex1))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10807,plain,
% 12.87/8.92 (v127(constB47, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10806, 10805, 10798])).
% 12.87/8.92 tff(10808,plain,
% 12.87/8.92 ((~(v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1))) | v129(constB48, bitIndex1) | (~v127(constB47, bitIndex1))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10809,plain,
% 12.87/8.92 (v129(constB48, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10808, 10807, 10794])).
% 12.87/8.92 tff(10810,plain,
% 12.87/8.92 ((~(v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10811,plain,
% 12.87/8.92 (v90(constB48, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10810, 10809, 10790])).
% 12.87/8.92 tff(10812,plain,
% 12.87/8.92 ((~(v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1))) | v90(constB49, bitIndex1) | (~v90(constB48, bitIndex1))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10813,plain,
% 12.87/8.92 (v90(constB49, bitIndex1)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10812, 10811, 10786])).
% 12.87/8.92 tff(10814,plain,
% 12.87/8.92 ((~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10815,plain,
% 12.87/8.92 (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10814, 10813, 10782, 10751])).
% 12.87/8.92 tff(10816,plain,
% 12.87/8.92 ((~(v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) | v125(constB49) | ((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10817,plain,
% 12.87/8.92 (v125(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10816, 10815, 6225])).
% 12.87/8.92 tff(10818,plain,
% 12.87/8.92 ((v114(constB49) | v125(constB49)) | (~v125(constB49))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10819,plain,
% 12.87/8.92 (v114(constB49) | v125(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10818, 10817])).
% 12.87/8.92 tff(10820,plain,
% 12.87/8.92 ((~(v113(constB49) <=> (v114(constB49) | v125(constB49)))) | v113(constB49) | (~(v114(constB49) | v125(constB49)))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10821,plain,
% 12.87/8.92 (v113(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10820, 10819, 6218])).
% 12.87/8.92 tff(10822,plain,
% 12.87/8.92 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB49)) <=> v111(constB49))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10823,plain,
% 12.87/8.92 ((~v126(constB49)) <=> v111(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10822, 1345])).
% 12.87/8.92 tff(10824,plain,
% 12.87/8.92 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10825,plain,
% 12.87/8.92 (v111(constB49) <=> v26(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10824, 1357])).
% 12.87/8.92 tff(10826,plain,
% 12.87/8.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10827,plain,
% 12.87/8.92 (~v26(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10826, 1369])).
% 12.87/8.92 tff(10828,plain,
% 12.87/8.92 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10829,plain,
% 12.87/8.92 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10828, 10827])).
% 12.87/8.92 tff(10830,plain,
% 12.87/8.92 (~v111(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10829, 10825])).
% 12.87/8.92 tff(10831,plain,
% 12.87/8.92 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49) | v111(constB49)),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10832,plain,
% 12.87/8.92 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10831, 10830])).
% 12.87/8.92 tff(10833,plain,
% 12.87/8.92 (v126(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10832, 10823])).
% 12.87/8.92 tff(10834,plain,
% 12.87/8.92 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49)) | (~v126(constB49))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10835,plain,
% 12.87/8.92 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10834, 10833])).
% 12.87/8.92 tff(10836,plain,
% 12.87/8.92 (~((~v113(constB49)) | (~v126(constB49)))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10835, 10821])).
% 12.87/8.92 tff(10837,plain,
% 12.87/8.92 ((~(v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))) | v112(constB49) | ((~v113(constB49)) | (~v126(constB49)))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10838,plain,
% 12.87/8.92 (v112(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10837, 10836, 6216])).
% 12.87/8.92 tff(10839,plain,
% 12.87/8.92 ((v111(constB49) | v112(constB49)) | (~v112(constB49))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10840,plain,
% 12.87/8.92 (v111(constB49) | v112(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10839, 10838])).
% 12.87/8.92 tff(10841,plain,
% 12.87/8.92 ((~(v108(constB49) <=> (v111(constB49) | v112(constB49)))) | v108(constB49) | (~(v111(constB49) | v112(constB49)))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10842,plain,
% 12.87/8.92 (v108(constB49)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10841, 10840, 6214])).
% 12.87/8.92 tff(10843,plain,
% 12.87/8.92 ((~(v110(constB50) <=> v108(constB49))) | v110(constB50) | (~v108(constB49))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10844,plain,
% 12.87/8.92 (v110(constB50)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10843, 10842, 6212])).
% 12.87/8.92 tff(10845,plain,
% 12.87/8.92 ((~((~v101(constB50)) | (~v110(constB50)))) | (~v101(constB50)) | (~v110(constB50))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10846,plain,
% 12.87/8.92 (~((~v101(constB50)) | (~v110(constB50)))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10845, 10844, 6208])).
% 12.87/8.92 tff(10847,plain,
% 12.87/8.92 ((~(v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))) | v100(constB50) | ((~v101(constB50)) | (~v110(constB50)))),
% 12.87/8.92 inference(tautology,[status(thm)],[])).
% 12.87/8.92 tff(10848,plain,
% 12.87/8.92 (v100(constB50)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10847, 10846, 6177])).
% 12.87/8.92 tff(10849,plain,
% 12.87/8.92 (((~![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))))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10850,plain,
% 12.87/8.92 ((~![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))))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10851,plain,
% 12.87/8.92 ((~![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)))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10850, 10849])).
% 12.87/8.92 tff(10852,plain,
% 12.87/8.92 ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10851, 1405])).
% 12.87/8.92 tff(10853,plain,
% 12.87/8.92 (![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10852, 10848])).
% 12.87/8.92 tff(10854,plain,
% 12.87/8.92 (((~![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)))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10855,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10856,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 12.87/8.92 tff(10857,plain,
% 12.87/8.92 (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10856, 579, 10853])).
% 12.87/8.92 tff(10858,plain,
% 12.87/8.92 (((~![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))))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10859,plain,
% 12.87/8.92 ((~![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))))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10860,plain,
% 12.87/8.92 ((~![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)))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 12.87/8.92 tff(10861,plain,
% 12.87/8.92 (![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10860, 6173, 1427])).
% 12.87/8.92 tff(10862,plain,
% 12.87/8.92 (((~![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)))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10863,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10864,plain,
% 12.87/8.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2))),
% 12.87/8.92 inference(modus_ponens,[status(thm)],[10863, 10862])).
% 12.87/8.92 tff(10865,plain,
% 12.87/8.92 (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)),
% 12.87/8.92 inference(unit_resolution,[status(thm)],[10864, 579, 10861])).
% 12.87/8.92 tff(10866,plain,
% 12.87/8.92 (((~![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))))),
% 12.87/8.92 inference(rewrite,[status(thm)],[])).
% 12.87/8.92 tff(10867,plain,
% 12.87/8.92 ((~![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))))),
% 12.87/8.92 inference(quant_inst,[status(thm)],[])).
% 12.87/8.92 tff(10868,plain,
% 12.87/8.92 ((~![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)))),
% 12.87/8.93 inference(modus_ponens,[status(thm)],[10867, 10866])).
% 12.87/8.93 tff(10869,plain,
% 12.87/8.93 (![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10868, 1448, 10830])).
% 12.87/8.93 tff(10870,plain,
% 12.87/8.93 (((~![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)))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10871,plain,
% 12.87/8.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))),
% 12.87/8.93 inference(quant_inst,[status(thm)],[])).
% 12.87/8.93 tff(10872,plain,
% 12.87/8.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2))),
% 12.87/8.93 inference(modus_ponens,[status(thm)],[10871, 10870])).
% 12.87/8.93 tff(10873,plain,
% 12.87/8.93 (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10872, 579, 10869])).
% 12.87/8.93 tff(10874,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))))),
% 12.87/8.93 inference(quant_inst,[status(thm)],[])).
% 12.87/8.93 tff(10875,plain,
% 12.87/8.93 (v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)))),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10874, 1242])).
% 12.87/8.93 tff(10876,plain,
% 12.87/8.93 ((v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex2))),
% 12.87/8.93 inference(tautology,[status(thm)],[])).
% 12.87/8.93 tff(10877,plain,
% 12.87/8.93 (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10876, 10751])).
% 12.87/8.93 tff(10878,plain,
% 12.87/8.93 ((~(v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))))) | (~v119(constB49)) | (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)))),
% 12.87/8.93 inference(tautology,[status(thm)],[])).
% 12.87/8.93 tff(10879,plain,
% 12.87/8.93 (~v119(constB49)),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10878, 10877, 10875])).
% 12.87/8.93 tff(10880,plain,
% 12.87/8.93 (((~![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))))))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10881,plain,
% 12.87/8.93 ((v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2))))) <=> (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10882,plain,
% 12.87/8.93 (((~![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))))))),
% 12.87/8.93 inference(monotonicity,[status(thm)],[10881])).
% 12.87/8.93 tff(10883,plain,
% 12.87/8.93 (((~![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))))))),
% 12.87/8.93 inference(transitivity,[status(thm)],[10882, 10880])).
% 12.87/8.93 tff(10884,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))),
% 12.87/8.93 inference(quant_inst,[status(thm)],[])).
% 12.87/8.93 tff(10885,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 12.87/8.93 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 12.87/8.93 tff(10886,plain,
% 12.87/8.93 (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10885, 2651])).
% 12.87/8.93 tff(10887,plain,
% 12.87/8.93 (((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex1))),
% 12.87/8.93 inference(tautology,[status(thm)],[])).
% 12.87/8.93 tff(10888,plain,
% 12.87/8.93 ((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10887, 10813])).
% 12.87/8.93 tff(10889,plain,
% 12.87/8.93 ((~(v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))) | (~v124(constB49)) | (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 12.87/8.93 inference(tautology,[status(thm)],[])).
% 12.87/8.93 tff(10890,plain,
% 12.87/8.93 (~v124(constB49)),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10889, 10888, 10886])).
% 12.87/8.93 tff(10891,plain,
% 12.87/8.93 (((~![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)))))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10892,plain,
% 12.87/8.93 ((v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2))))) <=> (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10893,plain,
% 12.87/8.93 (((~![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)))))),
% 12.87/8.93 inference(monotonicity,[status(thm)],[10892])).
% 12.87/8.93 tff(10894,plain,
% 12.87/8.93 (((~![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)))))),
% 12.87/8.93 inference(transitivity,[status(thm)],[10893, 10891])).
% 12.87/8.93 tff(10895,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))),
% 12.87/8.93 inference(quant_inst,[status(thm)],[])).
% 12.87/8.93 tff(10896,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))),
% 12.87/8.93 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 12.87/8.93 tff(10897,plain,
% 12.87/8.93 (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10896, 787])).
% 12.87/8.93 tff(10898,plain,
% 12.87/8.93 (((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1))),
% 12.87/8.93 inference(tautology,[status(thm)],[])).
% 12.87/8.93 tff(10899,plain,
% 12.87/8.93 ((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10898, 10813])).
% 12.87/8.93 tff(10900,plain,
% 12.87/8.93 ((~(v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))) | (~v123(constB49)) | (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))),
% 12.87/8.93 inference(tautology,[status(thm)],[])).
% 12.87/8.93 tff(10901,plain,
% 12.87/8.93 (~v123(constB49)),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10900, 10899, 10897])).
% 12.87/8.93 tff(10902,plain,
% 12.87/8.93 (((~![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))))))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10903,plain,
% 12.87/8.93 ((v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1))))) <=> (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))),
% 12.87/8.93 inference(rewrite,[status(thm)],[])).
% 12.87/8.93 tff(10904,plain,
% 12.87/8.93 (((~![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))))))),
% 12.87/8.93 inference(monotonicity,[status(thm)],[10903])).
% 12.87/8.93 tff(10905,plain,
% 12.87/8.93 (((~![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))))))),
% 12.87/8.93 inference(transitivity,[status(thm)],[10904, 10902])).
% 12.87/8.93 tff(10906,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))),
% 12.87/8.93 inference(quant_inst,[status(thm)],[])).
% 12.87/8.93 tff(10907,plain,
% 12.87/8.93 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))),
% 12.87/8.93 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 12.87/8.93 tff(10908,plain,
% 12.87/8.93 (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))),
% 12.87/8.93 inference(unit_resolution,[status(thm)],[10907, 900])).
% 12.91/8.94 tff(10909,plain,
% 12.91/8.94 ((v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2))),
% 12.91/8.94 inference(tautology,[status(thm)],[])).
% 12.91/8.94 tff(10910,plain,
% 12.91/8.94 (v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10909, 10751])).
% 12.91/8.94 tff(10911,plain,
% 12.91/8.94 ((~(v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))) | (~v122(constB49)) | (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))),
% 12.91/8.94 inference(tautology,[status(thm)],[])).
% 12.91/8.94 tff(10912,plain,
% 12.91/8.94 (~v122(constB49)),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10911, 10910, 10908])).
% 12.91/8.94 tff(10913,plain,
% 12.91/8.94 (((~![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)))))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10914,plain,
% 12.91/8.94 ((v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1))))) <=> (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10915,plain,
% 12.91/8.94 (((~![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)))))),
% 12.91/8.94 inference(monotonicity,[status(thm)],[10914])).
% 12.91/8.94 tff(10916,plain,
% 12.91/8.94 (((~![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)))))),
% 12.91/8.94 inference(transitivity,[status(thm)],[10915, 10913])).
% 12.91/8.94 tff(10917,plain,
% 12.91/8.94 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))),
% 12.91/8.94 inference(quant_inst,[status(thm)],[])).
% 12.91/8.94 tff(10918,plain,
% 12.91/8.94 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 12.91/8.94 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 12.91/8.94 tff(10919,plain,
% 12.91/8.94 (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10918, 1015])).
% 12.91/8.94 tff(10920,plain,
% 12.91/8.94 ((v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2))),
% 12.91/8.94 inference(tautology,[status(thm)],[])).
% 12.91/8.94 tff(10921,plain,
% 12.91/8.94 (v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10920, 10751])).
% 12.91/8.94 tff(10922,plain,
% 12.91/8.94 ((~(v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) | (~v121(constB49)) | (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 12.91/8.94 inference(tautology,[status(thm)],[])).
% 12.91/8.94 tff(10923,plain,
% 12.91/8.94 (~v121(constB49)),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10922, 10921, 10919])).
% 12.91/8.94 tff(10924,plain,
% 12.91/8.94 (((~![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))))))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10925,plain,
% 12.91/8.94 ((v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0))))) <=> (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10926,plain,
% 12.91/8.94 (((~![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))))))),
% 12.91/8.94 inference(monotonicity,[status(thm)],[10925])).
% 12.91/8.94 tff(10927,plain,
% 12.91/8.94 (((~![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))))))),
% 12.91/8.94 inference(transitivity,[status(thm)],[10926, 10924])).
% 12.91/8.94 tff(10928,plain,
% 12.91/8.94 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)))))),
% 12.91/8.94 inference(quant_inst,[status(thm)],[])).
% 12.91/8.94 tff(10929,plain,
% 12.91/8.94 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 12.91/8.94 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 12.91/8.94 tff(10930,plain,
% 12.91/8.94 (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10929, 1132])).
% 12.91/8.94 tff(10931,plain,
% 12.91/8.94 ((v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2))),
% 12.91/8.94 inference(tautology,[status(thm)],[])).
% 12.91/8.94 tff(10932,plain,
% 12.91/8.94 (v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10931, 10751])).
% 12.91/8.94 tff(10933,plain,
% 12.91/8.94 ((~(v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))) | (~v120(constB49)) | (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 12.91/8.94 inference(tautology,[status(thm)],[])).
% 12.91/8.94 tff(10934,plain,
% 12.91/8.94 (~v120(constB49)),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10933, 10932, 10930])).
% 12.91/8.94 tff(10935,plain,
% 12.91/8.94 (((~![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))))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10936,plain,
% 12.91/8.94 ((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))))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10937,plain,
% 12.91/8.94 (((~![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)))))),
% 12.91/8.94 inference(monotonicity,[status(thm)],[10936])).
% 12.91/8.94 tff(10938,plain,
% 12.91/8.94 (((~![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))))),
% 12.91/8.94 inference(transitivity,[status(thm)],[10937, 10935])).
% 12.91/8.94 tff(10939,plain,
% 12.91/8.94 ((~![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))))),
% 12.91/8.94 inference(quant_inst,[status(thm)],[])).
% 12.91/8.94 tff(10940,plain,
% 12.91/8.94 ((~![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)))),
% 12.91/8.94 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 12.91/8.94 tff(10941,plain,
% 12.91/8.94 (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10940, 8006])).
% 12.91/8.94 tff(10942,plain,
% 12.91/8.94 (![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))),
% 12.91/8.94 inference(unit_resolution,[status(thm)],[10941, 10934, 10923, 10912, 10901, 10890, 10879])).
% 12.91/8.94 tff(10943,plain,
% 12.91/8.94 (((~![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)))),
% 12.91/8.94 inference(rewrite,[status(thm)],[])).
% 12.91/8.94 tff(10944,plain,
% 12.91/8.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b001(bitIndex2)))),
% 12.91/8.94 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10945,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b001(bitIndex2))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10944, 10943])).
% 12.91/8.95 tff(10946,plain,
% 12.91/8.95 (v130(constB49, bitIndex2) <=> b001(bitIndex2)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10945, 579, 10942])).
% 12.91/8.95 tff(10947,plain,
% 12.91/8.95 ((~(v130(constB49, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB49, bitIndex2)) | b001(bitIndex2)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10948,plain,
% 12.91/8.95 ((~(v130(constB49, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB49, bitIndex2))),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10947, 1480])).
% 12.91/8.95 tff(10949,plain,
% 12.91/8.95 (~v130(constB49, bitIndex2)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10948, 10946])).
% 12.91/8.95 tff(10950,plain,
% 12.91/8.95 ((~(v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2))) | (~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10951,plain,
% 12.91/8.95 (~v127(constB49, bitIndex2)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10950, 10949, 10873])).
% 12.91/8.95 tff(10952,plain,
% 12.91/8.95 ((~(v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2))) | (~v129(constB50, bitIndex2)) | v127(constB49, bitIndex2)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10953,plain,
% 12.91/8.95 (~v129(constB50, bitIndex2)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10952, 10951, 10865])).
% 12.91/8.95 tff(10954,plain,
% 12.91/8.95 ((~(v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10955,plain,
% 12.91/8.95 (~v90(constB50, bitIndex2)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10954, 10953, 10857])).
% 12.91/8.95 tff(10956,plain,
% 12.91/8.95 ((~(v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2))) | (~v90(constB51, bitIndex2)) | v90(constB50, bitIndex2)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10957,plain,
% 12.91/8.95 (~v90(constB51, bitIndex2)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10956, 10955, 6170])).
% 12.91/8.95 tff(10958,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10959,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10960,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 12.91/8.95 tff(10961,plain,
% 12.91/8.95 (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10960, 1275, 6166])).
% 12.91/8.95 tff(10962,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10963,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10964,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 12.91/8.95 tff(10965,plain,
% 12.91/8.95 (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10964, 1275, 10853])).
% 12.91/8.95 tff(10966,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10967,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10968,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 12.91/8.95 tff(10969,plain,
% 12.91/8.95 (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10968, 1275, 10861])).
% 12.91/8.95 tff(10970,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10971,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10972,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 12.91/8.95 tff(10973,plain,
% 12.91/8.95 (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10972, 1275, 10869])).
% 12.91/8.95 tff(10974,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10975,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b001(bitIndex0)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10976,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b001(bitIndex0))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10975, 10974])).
% 12.91/8.95 tff(10977,plain,
% 12.91/8.95 (v130(constB49, bitIndex0) <=> b001(bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10976, 1275, 10942])).
% 12.91/8.95 tff(10978,plain,
% 12.91/8.95 ((~(v130(constB49, bitIndex0) <=> b001(bitIndex0))) | v130(constB49, bitIndex0) | (~b001(bitIndex0))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10979,plain,
% 12.91/8.95 ((~(v130(constB49, bitIndex0) <=> b001(bitIndex0))) | v130(constB49, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10978, 1514])).
% 12.91/8.95 tff(10980,plain,
% 12.91/8.95 (v130(constB49, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10979, 10977])).
% 12.91/8.95 tff(10981,plain,
% 12.91/8.95 ((~(v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0))) | v127(constB49, bitIndex0) | (~v130(constB49, bitIndex0))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10982,plain,
% 12.91/8.95 (v127(constB49, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10981, 10980, 10973])).
% 12.91/8.95 tff(10983,plain,
% 12.91/8.95 ((~(v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0))) | v129(constB50, bitIndex0) | (~v127(constB49, bitIndex0))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10984,plain,
% 12.91/8.95 (v129(constB50, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10983, 10982, 10969])).
% 12.91/8.95 tff(10985,plain,
% 12.91/8.95 ((~(v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10986,plain,
% 12.91/8.95 (v90(constB50, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10985, 10984, 10965])).
% 12.91/8.95 tff(10987,plain,
% 12.91/8.95 ((~(v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0))) | v90(constB51, bitIndex0) | (~v90(constB50, bitIndex0))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(10988,plain,
% 12.91/8.95 (v90(constB51, bitIndex0)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10987, 10986, 10961])).
% 12.91/8.95 tff(10989,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10990,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10991,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10990, 10989])).
% 12.91/8.95 tff(10992,plain,
% 12.91/8.95 (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10991, 1288, 6166])).
% 12.91/8.95 tff(10993,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10994,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10995,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 12.91/8.95 tff(10996,plain,
% 12.91/8.95 (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10995, 1288, 10853])).
% 12.91/8.95 tff(10997,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(10998,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(10999,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 12.91/8.95 tff(11000,plain,
% 12.91/8.95 (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[10999, 1288, 10861])).
% 12.91/8.95 tff(11001,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(11002,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(11003,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 12.91/8.95 tff(11004,plain,
% 12.91/8.95 (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11003, 1288, 10869])).
% 12.91/8.95 tff(11005,plain,
% 12.91/8.95 (((~![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)))),
% 12.91/8.95 inference(rewrite,[status(thm)],[])).
% 12.91/8.95 tff(11006,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b001(bitIndex1)))),
% 12.91/8.95 inference(quant_inst,[status(thm)],[])).
% 12.91/8.95 tff(11007,plain,
% 12.91/8.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b001(bitIndex1))),
% 12.91/8.95 inference(modus_ponens,[status(thm)],[11006, 11005])).
% 12.91/8.95 tff(11008,plain,
% 12.91/8.95 (v130(constB49, bitIndex1) <=> b001(bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11007, 1288, 10942])).
% 12.91/8.95 tff(11009,plain,
% 12.91/8.95 ((~(v130(constB49, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB49, bitIndex1)) | b001(bitIndex1)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11010,plain,
% 12.91/8.95 ((~(v130(constB49, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB49, bitIndex1))),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11009, 1548])).
% 12.91/8.95 tff(11011,plain,
% 12.91/8.95 (~v130(constB49, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11010, 11008])).
% 12.91/8.95 tff(11012,plain,
% 12.91/8.95 ((~(v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1))) | (~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11013,plain,
% 12.91/8.95 (~v127(constB49, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11012, 11011, 11004])).
% 12.91/8.95 tff(11014,plain,
% 12.91/8.95 ((~(v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1))) | (~v129(constB50, bitIndex1)) | v127(constB49, bitIndex1)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11015,plain,
% 12.91/8.95 (~v129(constB50, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11014, 11013, 11000])).
% 12.91/8.95 tff(11016,plain,
% 12.91/8.95 ((~(v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11017,plain,
% 12.91/8.95 (~v90(constB50, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11016, 11015, 10996])).
% 12.91/8.95 tff(11018,plain,
% 12.91/8.95 ((~(v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1))) | (~v90(constB51, bitIndex1)) | v90(constB50, bitIndex1)),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11019,plain,
% 12.91/8.95 (~v90(constB51, bitIndex1)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11018, 11017, 10992])).
% 12.91/8.95 tff(11020,plain,
% 12.91/8.95 ((~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))) | v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11021,plain,
% 12.91/8.95 (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11020, 11019, 10988, 10957])).
% 12.91/8.95 tff(11022,plain,
% 12.91/8.95 ((~(v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))) | v120(constB51) | (v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11023,plain,
% 12.91/8.95 (v120(constB51)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11022, 11021, 6138])).
% 12.91/8.95 tff(11024,plain,
% 12.91/8.95 ((v119(constB51) | v120(constB51)) | (~v120(constB51))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.95 tff(11025,plain,
% 12.91/8.95 (v119(constB51) | v120(constB51)),
% 12.91/8.95 inference(unit_resolution,[status(thm)],[11024, 11023])).
% 12.91/8.95 tff(11026,plain,
% 12.91/8.95 ((~(v118(constB51) <=> (v119(constB51) | v120(constB51)))) | v118(constB51) | (~(v119(constB51) | v120(constB51)))),
% 12.91/8.95 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11027,plain,
% 12.91/8.96 (v118(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11026, 11025, 6131])).
% 12.91/8.96 tff(11028,plain,
% 12.91/8.96 ((v118(constB51) | v121(constB51)) | (~v118(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11029,plain,
% 12.91/8.96 (v118(constB51) | v121(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11028, 11027])).
% 12.91/8.96 tff(11030,plain,
% 12.91/8.96 ((~(v117(constB51) <=> (v118(constB51) | v121(constB51)))) | v117(constB51) | (~(v118(constB51) | v121(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11031,plain,
% 12.91/8.96 (v117(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11030, 11029, 6129])).
% 12.91/8.96 tff(11032,plain,
% 12.91/8.96 ((v117(constB51) | v122(constB51)) | (~v117(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11033,plain,
% 12.91/8.96 (v117(constB51) | v122(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11032, 11031])).
% 12.91/8.96 tff(11034,plain,
% 12.91/8.96 ((~(v116(constB51) <=> (v117(constB51) | v122(constB51)))) | v116(constB51) | (~(v117(constB51) | v122(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11035,plain,
% 12.91/8.96 (v116(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11034, 11033, 6127])).
% 12.91/8.96 tff(11036,plain,
% 12.91/8.96 ((v116(constB51) | v123(constB51)) | (~v116(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11037,plain,
% 12.91/8.96 (v116(constB51) | v123(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11036, 11035])).
% 12.91/8.96 tff(11038,plain,
% 12.91/8.96 ((~(v115(constB51) <=> (v116(constB51) | v123(constB51)))) | v115(constB51) | (~(v116(constB51) | v123(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11039,plain,
% 12.91/8.96 (v115(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11038, 11037, 6125])).
% 12.91/8.96 tff(11040,plain,
% 12.91/8.96 ((v115(constB51) | v124(constB51)) | (~v115(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11041,plain,
% 12.91/8.96 (v115(constB51) | v124(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11040, 11039])).
% 12.91/8.96 tff(11042,plain,
% 12.91/8.96 ((~(v114(constB51) <=> (v115(constB51) | v124(constB51)))) | v114(constB51) | (~(v115(constB51) | v124(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11043,plain,
% 12.91/8.96 (v114(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11042, 11041, 6123])).
% 12.91/8.96 tff(11044,plain,
% 12.91/8.96 ((v114(constB51) | v125(constB51)) | (~v114(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11045,plain,
% 12.91/8.96 (v114(constB51) | v125(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11044, 11043])).
% 12.91/8.96 tff(11046,plain,
% 12.91/8.96 ((~(v113(constB51) <=> (v114(constB51) | v125(constB51)))) | v113(constB51) | (~(v114(constB51) | v125(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11047,plain,
% 12.91/8.96 (v113(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11046, 11045, 6121])).
% 12.91/8.96 tff(11048,plain,
% 12.91/8.96 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB51)) <=> v111(constB51))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11049,plain,
% 12.91/8.96 ((~v126(constB51)) <=> v111(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11048, 1345])).
% 12.91/8.96 tff(11050,plain,
% 12.91/8.96 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11051,plain,
% 12.91/8.96 (v111(constB51) <=> v26(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11050, 1357])).
% 12.91/8.96 tff(11052,plain,
% 12.91/8.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11053,plain,
% 12.91/8.96 (~v26(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11052, 1369])).
% 12.91/8.96 tff(11054,plain,
% 12.91/8.96 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11055,plain,
% 12.91/8.96 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11054, 11053])).
% 12.91/8.96 tff(11056,plain,
% 12.91/8.96 (~v111(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11055, 11051])).
% 12.91/8.96 tff(11057,plain,
% 12.91/8.96 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51) | v111(constB51)),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11058,plain,
% 12.91/8.96 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11057, 11056])).
% 12.91/8.96 tff(11059,plain,
% 12.91/8.96 (v126(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11058, 11049])).
% 12.91/8.96 tff(11060,plain,
% 12.91/8.96 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51)) | (~v126(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11061,plain,
% 12.91/8.96 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11060, 11059])).
% 12.91/8.96 tff(11062,plain,
% 12.91/8.96 (~((~v113(constB51)) | (~v126(constB51)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11061, 11047])).
% 12.91/8.96 tff(11063,plain,
% 12.91/8.96 ((~(v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))) | v112(constB51) | ((~v113(constB51)) | (~v126(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11064,plain,
% 12.91/8.96 (v112(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11063, 11062, 6119])).
% 12.91/8.96 tff(11065,plain,
% 12.91/8.96 ((v111(constB51) | v112(constB51)) | (~v112(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11066,plain,
% 12.91/8.96 (v111(constB51) | v112(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11065, 11064])).
% 12.91/8.96 tff(11067,plain,
% 12.91/8.96 ((~(v108(constB51) <=> (v111(constB51) | v112(constB51)))) | v108(constB51) | (~(v111(constB51) | v112(constB51)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11068,plain,
% 12.91/8.96 (v108(constB51)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11067, 11066, 6117])).
% 12.91/8.96 tff(11069,plain,
% 12.91/8.96 ((~(v110(constB52) <=> v108(constB51))) | v110(constB52) | (~v108(constB51))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11070,plain,
% 12.91/8.96 (v110(constB52)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11069, 11068, 6115])).
% 12.91/8.96 tff(11071,plain,
% 12.91/8.96 ((~((~v101(constB52)) | (~v110(constB52)))) | (~v101(constB52)) | (~v110(constB52))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11072,plain,
% 12.91/8.96 (~((~v101(constB52)) | (~v110(constB52)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11071, 11070, 6111])).
% 12.91/8.96 tff(11073,plain,
% 12.91/8.96 ((~(v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))) | v100(constB52) | ((~v101(constB52)) | (~v110(constB52)))),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11074,plain,
% 12.91/8.96 (v100(constB52)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11073, 11072, 6080])).
% 12.91/8.96 tff(11075,plain,
% 12.91/8.96 (((~![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))))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11076,plain,
% 12.91/8.96 ((~![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))))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11077,plain,
% 12.91/8.96 ((~![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)))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 12.91/8.96 tff(11078,plain,
% 12.91/8.96 ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11077, 1405])).
% 12.91/8.96 tff(11079,plain,
% 12.91/8.96 (![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11078, 11074])).
% 12.91/8.96 tff(11080,plain,
% 12.91/8.96 (((~![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)))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11081,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11082,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 12.91/8.96 tff(11083,plain,
% 12.91/8.96 (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11082, 579, 11079])).
% 12.91/8.96 tff(11084,plain,
% 12.91/8.96 (((~![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))))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11085,plain,
% 12.91/8.96 ((~![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))))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11086,plain,
% 12.91/8.96 ((~![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)))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11085, 11084])).
% 12.91/8.96 tff(11087,plain,
% 12.91/8.96 (![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11086, 6076, 1427])).
% 12.91/8.96 tff(11088,plain,
% 12.91/8.96 (((~![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)))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11089,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11090,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 12.91/8.96 tff(11091,plain,
% 12.91/8.96 (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11090, 579, 11087])).
% 12.91/8.96 tff(11092,plain,
% 12.91/8.96 (((~![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))))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11093,plain,
% 12.91/8.96 ((~![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))))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11094,plain,
% 12.91/8.96 ((~![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)))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 12.91/8.96 tff(11095,plain,
% 12.91/8.96 (![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11094, 1448, 11056])).
% 12.91/8.96 tff(11096,plain,
% 12.91/8.96 (((~![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)))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11097,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11098,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 12.91/8.96 tff(11099,plain,
% 12.91/8.96 (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11098, 579, 11095])).
% 12.91/8.96 tff(11100,plain,
% 12.91/8.96 (((~![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))))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11101,plain,
% 12.91/8.96 ((~![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))))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11102,plain,
% 12.91/8.96 ((~![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)))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11101, 11100])).
% 12.91/8.96 tff(11103,plain,
% 12.91/8.96 ((~v120(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11102, 1652])).
% 12.91/8.96 tff(11104,plain,
% 12.91/8.96 (![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11103, 11023])).
% 12.91/8.96 tff(11105,plain,
% 12.91/8.96 (((~![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)))),
% 12.91/8.96 inference(rewrite,[status(thm)],[])).
% 12.91/8.96 tff(11106,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b010(bitIndex2)))),
% 12.91/8.96 inference(quant_inst,[status(thm)],[])).
% 12.91/8.96 tff(11107,plain,
% 12.91/8.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b010(bitIndex2))),
% 12.91/8.96 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 12.91/8.96 tff(11108,plain,
% 12.91/8.96 (v130(constB51, bitIndex2) <=> b010(bitIndex2)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11107, 579, 11104])).
% 12.91/8.96 tff(11109,plain,
% 12.91/8.96 ((~(v130(constB51, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB51, bitIndex2)) | b010(bitIndex2)),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11110,plain,
% 12.91/8.96 ((~(v130(constB51, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB51, bitIndex2))),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11109, 1664])).
% 12.91/8.96 tff(11111,plain,
% 12.91/8.96 (~v130(constB51, bitIndex2)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11110, 11108])).
% 12.91/8.96 tff(11112,plain,
% 12.91/8.96 ((~(v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2))) | (~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.96 tff(11113,plain,
% 12.91/8.96 (~v127(constB51, bitIndex2)),
% 12.91/8.96 inference(unit_resolution,[status(thm)],[11112, 11111, 11099])).
% 12.91/8.96 tff(11114,plain,
% 12.91/8.96 ((~(v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2))) | (~v129(constB52, bitIndex2)) | v127(constB51, bitIndex2)),
% 12.91/8.96 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11115,plain,
% 12.91/8.97 (~v129(constB52, bitIndex2)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11114, 11113, 11091])).
% 12.91/8.97 tff(11116,plain,
% 12.91/8.97 ((~(v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11117,plain,
% 12.91/8.97 (~v90(constB52, bitIndex2)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11116, 11115, 11083])).
% 12.91/8.97 tff(11118,plain,
% 12.91/8.97 ((~(v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2))) | (~v90(constB53, bitIndex2)) | v90(constB52, bitIndex2)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11119,plain,
% 12.91/8.97 (~v90(constB53, bitIndex2)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11118, 11117, 6073])).
% 12.91/8.97 tff(11120,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11121,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11122,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 12.91/8.97 tff(11123,plain,
% 12.91/8.97 (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11122, 1275, 6069])).
% 12.91/8.97 tff(11124,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11125,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11126,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 12.91/8.97 tff(11127,plain,
% 12.91/8.97 (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11126, 1275, 11079])).
% 12.91/8.97 tff(11128,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11129,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11130,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 12.91/8.97 tff(11131,plain,
% 12.91/8.97 (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11130, 1275, 11087])).
% 12.91/8.97 tff(11132,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11133,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11134,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 12.91/8.97 tff(11135,plain,
% 12.91/8.97 (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11134, 1275, 11095])).
% 12.91/8.97 tff(11136,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11137,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b010(bitIndex0)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11138,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b010(bitIndex0))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 12.91/8.97 tff(11139,plain,
% 12.91/8.97 (v130(constB51, bitIndex0) <=> b010(bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11138, 1275, 11104])).
% 12.91/8.97 tff(11140,plain,
% 12.91/8.97 ((~(v130(constB51, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB51, bitIndex0)) | b010(bitIndex0)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11141,plain,
% 12.91/8.97 ((~(v130(constB51, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB51, bitIndex0))),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11140, 1698])).
% 12.91/8.97 tff(11142,plain,
% 12.91/8.97 (~v130(constB51, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11141, 11139])).
% 12.91/8.97 tff(11143,plain,
% 12.91/8.97 ((~(v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0))) | (~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11144,plain,
% 12.91/8.97 (~v127(constB51, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11143, 11142, 11135])).
% 12.91/8.97 tff(11145,plain,
% 12.91/8.97 ((~(v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0))) | (~v129(constB52, bitIndex0)) | v127(constB51, bitIndex0)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11146,plain,
% 12.91/8.97 (~v129(constB52, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11145, 11144, 11131])).
% 12.91/8.97 tff(11147,plain,
% 12.91/8.97 ((~(v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11148,plain,
% 12.91/8.97 (~v90(constB52, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11147, 11146, 11127])).
% 12.91/8.97 tff(11149,plain,
% 12.91/8.97 ((~(v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0))) | (~v90(constB53, bitIndex0)) | v90(constB52, bitIndex0)),
% 12.91/8.97 inference(tautology,[status(thm)],[])).
% 12.91/8.97 tff(11150,plain,
% 12.91/8.97 (~v90(constB53, bitIndex0)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11149, 11148, 11123])).
% 12.91/8.97 tff(11151,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11152,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11153,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11152, 11151])).
% 12.91/8.97 tff(11154,plain,
% 12.91/8.97 (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11153, 1288, 6069])).
% 12.91/8.97 tff(11155,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11156,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11157,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 12.91/8.97 tff(11158,plain,
% 12.91/8.97 (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11157, 1288, 11079])).
% 12.91/8.97 tff(11159,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11160,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11161,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11160, 11159])).
% 12.91/8.97 tff(11162,plain,
% 12.91/8.97 (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11161, 1288, 11087])).
% 12.91/8.97 tff(11163,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11164,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11165,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11164, 11163])).
% 12.91/8.97 tff(11166,plain,
% 12.91/8.97 (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11165, 1288, 11095])).
% 12.91/8.97 tff(11167,plain,
% 12.91/8.97 (((~![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)))),
% 12.91/8.97 inference(rewrite,[status(thm)],[])).
% 12.91/8.97 tff(11168,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b010(bitIndex1)))),
% 12.91/8.97 inference(quant_inst,[status(thm)],[])).
% 12.91/8.97 tff(11169,plain,
% 12.91/8.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b010(bitIndex1))),
% 12.91/8.97 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 12.91/8.97 tff(11170,plain,
% 12.91/8.97 (v130(constB51, bitIndex1) <=> b010(bitIndex1)),
% 12.91/8.97 inference(unit_resolution,[status(thm)],[11169, 1288, 11104])).
% 12.91/8.97 tff(11171,plain,
% 12.91/8.97 ((~(v130(constB51, bitIndex1) <=> b010(bitIndex1))) | v130(constB51, bitIndex1) | (~b010(bitIndex1))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11172,plain,
% 12.91/8.98 ((~(v130(constB51, bitIndex1) <=> b010(bitIndex1))) | v130(constB51, bitIndex1)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11171, 1732])).
% 12.91/8.98 tff(11173,plain,
% 12.91/8.98 (v130(constB51, bitIndex1)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11172, 11170])).
% 12.91/8.98 tff(11174,plain,
% 12.91/8.98 ((~(v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1))) | v127(constB51, bitIndex1) | (~v130(constB51, bitIndex1))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11175,plain,
% 12.91/8.98 (v127(constB51, bitIndex1)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11174, 11173, 11166])).
% 12.91/8.98 tff(11176,plain,
% 12.91/8.98 ((~(v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1))) | v129(constB52, bitIndex1) | (~v127(constB51, bitIndex1))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11177,plain,
% 12.91/8.98 (v129(constB52, bitIndex1)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11176, 11175, 11162])).
% 12.91/8.98 tff(11178,plain,
% 12.91/8.98 ((~(v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11179,plain,
% 12.91/8.98 (v90(constB52, bitIndex1)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11178, 11177, 11158])).
% 12.91/8.98 tff(11180,plain,
% 12.91/8.98 ((~(v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1))) | v90(constB53, bitIndex1) | (~v90(constB52, bitIndex1))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11181,plain,
% 12.91/8.98 (v90(constB53, bitIndex1)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11180, 11179, 11154])).
% 12.91/8.98 tff(11182,plain,
% 12.91/8.98 ((~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11183,plain,
% 12.91/8.98 (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11182, 11181, 11150, 11119])).
% 12.91/8.98 tff(11184,plain,
% 12.91/8.98 ((~(v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))) | v121(constB53) | (v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11185,plain,
% 12.91/8.98 (v121(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11184, 11183, 6041])).
% 12.91/8.98 tff(11186,plain,
% 12.91/8.98 ((v118(constB53) | v121(constB53)) | (~v121(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11187,plain,
% 12.91/8.98 (v118(constB53) | v121(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11186, 11185])).
% 12.91/8.98 tff(11188,plain,
% 12.91/8.98 ((~(v117(constB53) <=> (v118(constB53) | v121(constB53)))) | v117(constB53) | (~(v118(constB53) | v121(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11189,plain,
% 12.91/8.98 (v117(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11188, 11187, 6034])).
% 12.91/8.98 tff(11190,plain,
% 12.91/8.98 ((v117(constB53) | v122(constB53)) | (~v117(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11191,plain,
% 12.91/8.98 (v117(constB53) | v122(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11190, 11189])).
% 12.91/8.98 tff(11192,plain,
% 12.91/8.98 ((~(v116(constB53) <=> (v117(constB53) | v122(constB53)))) | v116(constB53) | (~(v117(constB53) | v122(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11193,plain,
% 12.91/8.98 (v116(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11192, 11191, 6032])).
% 12.91/8.98 tff(11194,plain,
% 12.91/8.98 ((v116(constB53) | v123(constB53)) | (~v116(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11195,plain,
% 12.91/8.98 (v116(constB53) | v123(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11194, 11193])).
% 12.91/8.98 tff(11196,plain,
% 12.91/8.98 ((~(v115(constB53) <=> (v116(constB53) | v123(constB53)))) | v115(constB53) | (~(v116(constB53) | v123(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11197,plain,
% 12.91/8.98 (v115(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11196, 11195, 6030])).
% 12.91/8.98 tff(11198,plain,
% 12.91/8.98 ((v115(constB53) | v124(constB53)) | (~v115(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11199,plain,
% 12.91/8.98 (v115(constB53) | v124(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11198, 11197])).
% 12.91/8.98 tff(11200,plain,
% 12.91/8.98 ((~(v114(constB53) <=> (v115(constB53) | v124(constB53)))) | v114(constB53) | (~(v115(constB53) | v124(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11201,plain,
% 12.91/8.98 (v114(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11200, 11199, 6028])).
% 12.91/8.98 tff(11202,plain,
% 12.91/8.98 ((v114(constB53) | v125(constB53)) | (~v114(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11203,plain,
% 12.91/8.98 (v114(constB53) | v125(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11202, 11201])).
% 12.91/8.98 tff(11204,plain,
% 12.91/8.98 ((~(v113(constB53) <=> (v114(constB53) | v125(constB53)))) | v113(constB53) | (~(v114(constB53) | v125(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11205,plain,
% 12.91/8.98 (v113(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11204, 11203, 6026])).
% 12.91/8.98 tff(11206,plain,
% 12.91/8.98 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB53)) <=> v111(constB53))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11207,plain,
% 12.91/8.98 ((~v126(constB53)) <=> v111(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11206, 1345])).
% 12.91/8.98 tff(11208,plain,
% 12.91/8.98 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11209,plain,
% 12.91/8.98 (v111(constB53) <=> v26(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11208, 1357])).
% 12.91/8.98 tff(11210,plain,
% 12.91/8.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11211,plain,
% 12.91/8.98 (~v26(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11210, 1369])).
% 12.91/8.98 tff(11212,plain,
% 12.91/8.98 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11213,plain,
% 12.91/8.98 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11212, 11211])).
% 12.91/8.98 tff(11214,plain,
% 12.91/8.98 (~v111(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11213, 11209])).
% 12.91/8.98 tff(11215,plain,
% 12.91/8.98 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53) | v111(constB53)),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11216,plain,
% 12.91/8.98 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11215, 11214])).
% 12.91/8.98 tff(11217,plain,
% 12.91/8.98 (v126(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11216, 11207])).
% 12.91/8.98 tff(11218,plain,
% 12.91/8.98 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53)) | (~v126(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11219,plain,
% 12.91/8.98 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11218, 11217])).
% 12.91/8.98 tff(11220,plain,
% 12.91/8.98 (~((~v113(constB53)) | (~v126(constB53)))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11219, 11205])).
% 12.91/8.98 tff(11221,plain,
% 12.91/8.98 ((~(v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))) | v112(constB53) | ((~v113(constB53)) | (~v126(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11222,plain,
% 12.91/8.98 (v112(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11221, 11220, 6024])).
% 12.91/8.98 tff(11223,plain,
% 12.91/8.98 ((v111(constB53) | v112(constB53)) | (~v112(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11224,plain,
% 12.91/8.98 (v111(constB53) | v112(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11223, 11222])).
% 12.91/8.98 tff(11225,plain,
% 12.91/8.98 ((~(v108(constB53) <=> (v111(constB53) | v112(constB53)))) | v108(constB53) | (~(v111(constB53) | v112(constB53)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11226,plain,
% 12.91/8.98 (v108(constB53)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11225, 11224, 6022])).
% 12.91/8.98 tff(11227,plain,
% 12.91/8.98 ((~(v110(constB54) <=> v108(constB53))) | v110(constB54) | (~v108(constB53))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11228,plain,
% 12.91/8.98 (v110(constB54)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11227, 11226, 6020])).
% 12.91/8.98 tff(11229,plain,
% 12.91/8.98 ((~((~v101(constB54)) | (~v110(constB54)))) | (~v101(constB54)) | (~v110(constB54))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11230,plain,
% 12.91/8.98 (~((~v101(constB54)) | (~v110(constB54)))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11229, 11228, 6016])).
% 12.91/8.98 tff(11231,plain,
% 12.91/8.98 ((~(v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))) | v100(constB54) | ((~v101(constB54)) | (~v110(constB54)))),
% 12.91/8.98 inference(tautology,[status(thm)],[])).
% 12.91/8.98 tff(11232,plain,
% 12.91/8.98 (v100(constB54)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11231, 11230, 5985])).
% 12.91/8.98 tff(11233,plain,
% 12.91/8.98 (((~![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))))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11234,plain,
% 12.91/8.98 ((~![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))))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11235,plain,
% 12.91/8.98 ((~![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)))),
% 12.91/8.98 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 12.91/8.98 tff(11236,plain,
% 12.91/8.98 ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11235, 1405])).
% 12.91/8.98 tff(11237,plain,
% 12.91/8.98 (![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11236, 11232])).
% 12.91/8.98 tff(11238,plain,
% 12.91/8.98 (((~![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)))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11239,plain,
% 12.91/8.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11240,plain,
% 12.91/8.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2))),
% 12.91/8.98 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 12.91/8.98 tff(11241,plain,
% 12.91/8.98 (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11240, 579, 11237])).
% 12.91/8.98 tff(11242,plain,
% 12.91/8.98 (((~![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))))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11243,plain,
% 12.91/8.98 ((~![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))))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11244,plain,
% 12.91/8.98 ((~![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)))),
% 12.91/8.98 inference(modus_ponens,[status(thm)],[11243, 11242])).
% 12.91/8.98 tff(11245,plain,
% 12.91/8.98 (![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11244, 5981, 1427])).
% 12.91/8.98 tff(11246,plain,
% 12.91/8.98 (((~![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)))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11247,plain,
% 12.91/8.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11248,plain,
% 12.91/8.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2))),
% 12.91/8.98 inference(modus_ponens,[status(thm)],[11247, 11246])).
% 12.91/8.98 tff(11249,plain,
% 12.91/8.98 (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11248, 579, 11245])).
% 12.91/8.98 tff(11250,plain,
% 12.91/8.98 (((~![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))))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11251,plain,
% 12.91/8.98 ((~![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))))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11252,plain,
% 12.91/8.98 ((~![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)))),
% 12.91/8.98 inference(modus_ponens,[status(thm)],[11251, 11250])).
% 12.91/8.98 tff(11253,plain,
% 12.91/8.98 (![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11252, 1448, 11214])).
% 12.91/8.98 tff(11254,plain,
% 12.91/8.98 (((~![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)))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11255,plain,
% 12.91/8.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11256,plain,
% 12.91/8.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2))),
% 12.91/8.98 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 12.91/8.98 tff(11257,plain,
% 12.91/8.98 (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)),
% 12.91/8.98 inference(unit_resolution,[status(thm)],[11256, 579, 11253])).
% 12.91/8.98 tff(11258,plain,
% 12.91/8.98 (((~![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))))),
% 12.91/8.98 inference(rewrite,[status(thm)],[])).
% 12.91/8.98 tff(11259,plain,
% 12.91/8.98 ((~![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))))),
% 12.91/8.98 inference(quant_inst,[status(thm)],[])).
% 12.91/8.98 tff(11260,plain,
% 12.91/8.98 ((~![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)))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 12.91/8.99 tff(11261,plain,
% 12.91/8.99 ((~v121(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11260, 1832])).
% 12.91/8.99 tff(11262,plain,
% 12.91/8.99 (![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11261, 11185])).
% 12.91/8.99 tff(11263,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11264,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b011(bitIndex2)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11265,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b011(bitIndex2))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 12.91/8.99 tff(11266,plain,
% 12.91/8.99 (v130(constB53, bitIndex2) <=> b011(bitIndex2)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11265, 579, 11262])).
% 12.91/8.99 tff(11267,plain,
% 12.91/8.99 ((~(v130(constB53, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB53, bitIndex2)) | b011(bitIndex2)),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11268,plain,
% 12.91/8.99 ((~(v130(constB53, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB53, bitIndex2))),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11267, 1844])).
% 12.91/8.99 tff(11269,plain,
% 12.91/8.99 (~v130(constB53, bitIndex2)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11268, 11266])).
% 12.91/8.99 tff(11270,plain,
% 12.91/8.99 ((~(v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2))) | (~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11271,plain,
% 12.91/8.99 (~v127(constB53, bitIndex2)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11270, 11269, 11257])).
% 12.91/8.99 tff(11272,plain,
% 12.91/8.99 ((~(v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2))) | (~v129(constB54, bitIndex2)) | v127(constB53, bitIndex2)),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11273,plain,
% 12.91/8.99 (~v129(constB54, bitIndex2)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11272, 11271, 11249])).
% 12.91/8.99 tff(11274,plain,
% 12.91/8.99 ((~(v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2)),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11275,plain,
% 12.91/8.99 (~v90(constB54, bitIndex2)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11274, 11273, 11241])).
% 12.91/8.99 tff(11276,plain,
% 12.91/8.99 ((~(v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2))) | (~v90(constB55, bitIndex2)) | v90(constB54, bitIndex2)),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11277,plain,
% 12.91/8.99 (~v90(constB55, bitIndex2)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11276, 11275, 5978])).
% 12.91/8.99 tff(11278,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11279,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11280,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11279, 11278])).
% 12.91/8.99 tff(11281,plain,
% 12.91/8.99 (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11280, 1275, 5974])).
% 12.91/8.99 tff(11282,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11283,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11284,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 12.91/8.99 tff(11285,plain,
% 12.91/8.99 (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11284, 1275, 11237])).
% 12.91/8.99 tff(11286,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11287,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11288,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11287, 11286])).
% 12.91/8.99 tff(11289,plain,
% 12.91/8.99 (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11288, 1275, 11245])).
% 12.91/8.99 tff(11290,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11291,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11292,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 12.91/8.99 tff(11293,plain,
% 12.91/8.99 (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11292, 1275, 11253])).
% 12.91/8.99 tff(11294,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11295,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b011(bitIndex0)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11296,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b011(bitIndex0))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 12.91/8.99 tff(11297,plain,
% 12.91/8.99 (v130(constB53, bitIndex0) <=> b011(bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11296, 1275, 11262])).
% 12.91/8.99 tff(11298,plain,
% 12.91/8.99 ((~(v130(constB53, bitIndex0) <=> b011(bitIndex0))) | v130(constB53, bitIndex0) | (~b011(bitIndex0))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11299,plain,
% 12.91/8.99 ((~(v130(constB53, bitIndex0) <=> b011(bitIndex0))) | v130(constB53, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11298, 1878])).
% 12.91/8.99 tff(11300,plain,
% 12.91/8.99 (v130(constB53, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11299, 11297])).
% 12.91/8.99 tff(11301,plain,
% 12.91/8.99 ((~(v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0))) | v127(constB53, bitIndex0) | (~v130(constB53, bitIndex0))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11302,plain,
% 12.91/8.99 (v127(constB53, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11301, 11300, 11293])).
% 12.91/8.99 tff(11303,plain,
% 12.91/8.99 ((~(v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0))) | v129(constB54, bitIndex0) | (~v127(constB53, bitIndex0))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11304,plain,
% 12.91/8.99 (v129(constB54, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11303, 11302, 11289])).
% 12.91/8.99 tff(11305,plain,
% 12.91/8.99 ((~(v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11306,plain,
% 12.91/8.99 (v90(constB54, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11305, 11304, 11285])).
% 12.91/8.99 tff(11307,plain,
% 12.91/8.99 ((~(v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0))) | v90(constB55, bitIndex0) | (~v90(constB54, bitIndex0))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11308,plain,
% 12.91/8.99 (v90(constB55, bitIndex0)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11307, 11306, 11281])).
% 12.91/8.99 tff(11309,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11310,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11311,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11310, 11309])).
% 12.91/8.99 tff(11312,plain,
% 12.91/8.99 (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11311, 1288, 5974])).
% 12.91/8.99 tff(11313,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11314,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11315,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11314, 11313])).
% 12.91/8.99 tff(11316,plain,
% 12.91/8.99 (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11315, 1288, 11237])).
% 12.91/8.99 tff(11317,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11318,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11319,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11318, 11317])).
% 12.91/8.99 tff(11320,plain,
% 12.91/8.99 (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11319, 1288, 11245])).
% 12.91/8.99 tff(11321,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11322,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11323,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 12.91/8.99 tff(11324,plain,
% 12.91/8.99 (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11323, 1288, 11253])).
% 12.91/8.99 tff(11325,plain,
% 12.91/8.99 (((~![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)))),
% 12.91/8.99 inference(rewrite,[status(thm)],[])).
% 12.91/8.99 tff(11326,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b011(bitIndex1)))),
% 12.91/8.99 inference(quant_inst,[status(thm)],[])).
% 12.91/8.99 tff(11327,plain,
% 12.91/8.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b011(bitIndex1))),
% 12.91/8.99 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 12.91/8.99 tff(11328,plain,
% 12.91/8.99 (v130(constB53, bitIndex1) <=> b011(bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11327, 1288, 11262])).
% 12.91/8.99 tff(11329,plain,
% 12.91/8.99 ((~(v130(constB53, bitIndex1) <=> b011(bitIndex1))) | v130(constB53, bitIndex1) | (~b011(bitIndex1))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11330,plain,
% 12.91/8.99 ((~(v130(constB53, bitIndex1) <=> b011(bitIndex1))) | v130(constB53, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11329, 1912])).
% 12.91/8.99 tff(11331,plain,
% 12.91/8.99 (v130(constB53, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11330, 11328])).
% 12.91/8.99 tff(11332,plain,
% 12.91/8.99 ((~(v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1))) | v127(constB53, bitIndex1) | (~v130(constB53, bitIndex1))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11333,plain,
% 12.91/8.99 (v127(constB53, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11332, 11331, 11324])).
% 12.91/8.99 tff(11334,plain,
% 12.91/8.99 ((~(v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1))) | v129(constB54, bitIndex1) | (~v127(constB53, bitIndex1))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11335,plain,
% 12.91/8.99 (v129(constB54, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11334, 11333, 11320])).
% 12.91/8.99 tff(11336,plain,
% 12.91/8.99 ((~(v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11337,plain,
% 12.91/8.99 (v90(constB54, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11336, 11335, 11316])).
% 12.91/8.99 tff(11338,plain,
% 12.91/8.99 ((~(v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1))) | v90(constB55, bitIndex1) | (~v90(constB54, bitIndex1))),
% 12.91/8.99 inference(tautology,[status(thm)],[])).
% 12.91/8.99 tff(11339,plain,
% 12.91/8.99 (v90(constB55, bitIndex1)),
% 12.91/8.99 inference(unit_resolution,[status(thm)],[11338, 11337, 11312])).
% 12.91/8.99 tff(11340,plain,
% 12.91/8.99 ((~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11341,plain,
% 12.91/9.00 (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11340, 11339, 11308, 11277])).
% 12.91/9.00 tff(11342,plain,
% 12.91/9.00 ((~(v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) | v122(constB55) | (v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11343,plain,
% 12.91/9.00 (v122(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11342, 11341, 5946])).
% 12.91/9.00 tff(11344,plain,
% 12.91/9.00 ((v117(constB55) | v122(constB55)) | (~v122(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11345,plain,
% 12.91/9.00 (v117(constB55) | v122(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11344, 11343])).
% 12.91/9.00 tff(11346,plain,
% 12.91/9.00 ((~(v116(constB55) <=> (v117(constB55) | v122(constB55)))) | v116(constB55) | (~(v117(constB55) | v122(constB55)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11347,plain,
% 12.91/9.00 (v116(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11346, 11345, 5939])).
% 12.91/9.00 tff(11348,plain,
% 12.91/9.00 ((v116(constB55) | v123(constB55)) | (~v116(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11349,plain,
% 12.91/9.00 (v116(constB55) | v123(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11348, 11347])).
% 12.91/9.00 tff(11350,plain,
% 12.91/9.00 ((~(v115(constB55) <=> (v116(constB55) | v123(constB55)))) | v115(constB55) | (~(v116(constB55) | v123(constB55)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11351,plain,
% 12.91/9.00 (v115(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11350, 11349, 5937])).
% 12.91/9.00 tff(11352,plain,
% 12.91/9.00 ((v115(constB55) | v124(constB55)) | (~v115(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11353,plain,
% 12.91/9.00 (v115(constB55) | v124(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11352, 11351])).
% 12.91/9.00 tff(11354,plain,
% 12.91/9.00 ((~(v114(constB55) <=> (v115(constB55) | v124(constB55)))) | v114(constB55) | (~(v115(constB55) | v124(constB55)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11355,plain,
% 12.91/9.00 (v114(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11354, 11353, 5935])).
% 12.91/9.00 tff(11356,plain,
% 12.91/9.00 ((v114(constB55) | v125(constB55)) | (~v114(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11357,plain,
% 12.91/9.00 (v114(constB55) | v125(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11356, 11355])).
% 12.91/9.00 tff(11358,plain,
% 12.91/9.00 ((~(v113(constB55) <=> (v114(constB55) | v125(constB55)))) | v113(constB55) | (~(v114(constB55) | v125(constB55)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11359,plain,
% 12.91/9.00 (v113(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11358, 11357, 5933])).
% 12.91/9.00 tff(11360,plain,
% 12.91/9.00 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB55)) <=> v111(constB55))),
% 12.91/9.00 inference(quant_inst,[status(thm)],[])).
% 12.91/9.00 tff(11361,plain,
% 12.91/9.00 ((~v126(constB55)) <=> v111(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11360, 1345])).
% 12.91/9.00 tff(11362,plain,
% 12.91/9.00 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 12.91/9.00 inference(quant_inst,[status(thm)],[])).
% 12.91/9.00 tff(11363,plain,
% 12.91/9.00 (v111(constB55) <=> v26(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11362, 1357])).
% 12.91/9.00 tff(11364,plain,
% 12.91/9.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 12.91/9.00 inference(quant_inst,[status(thm)],[])).
% 12.91/9.00 tff(11365,plain,
% 12.91/9.00 (~v26(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11364, 1369])).
% 12.91/9.00 tff(11366,plain,
% 12.91/9.00 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11367,plain,
% 12.91/9.00 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11366, 11365])).
% 12.91/9.00 tff(11368,plain,
% 12.91/9.00 (~v111(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11367, 11363])).
% 12.91/9.00 tff(11369,plain,
% 12.91/9.00 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55) | v111(constB55)),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11370,plain,
% 12.91/9.00 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11369, 11368])).
% 12.91/9.00 tff(11371,plain,
% 12.91/9.00 (v126(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11370, 11361])).
% 12.91/9.00 tff(11372,plain,
% 12.91/9.00 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55)) | (~v126(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11373,plain,
% 12.91/9.00 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11372, 11371])).
% 12.91/9.00 tff(11374,plain,
% 12.91/9.00 (~((~v113(constB55)) | (~v126(constB55)))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11373, 11359])).
% 12.91/9.00 tff(11375,plain,
% 12.91/9.00 ((~(v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))) | v112(constB55) | ((~v113(constB55)) | (~v126(constB55)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11376,plain,
% 12.91/9.00 (v112(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11375, 11374, 5931])).
% 12.91/9.00 tff(11377,plain,
% 12.91/9.00 ((v111(constB55) | v112(constB55)) | (~v112(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11378,plain,
% 12.91/9.00 (v111(constB55) | v112(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11377, 11376])).
% 12.91/9.00 tff(11379,plain,
% 12.91/9.00 ((~(v108(constB55) <=> (v111(constB55) | v112(constB55)))) | v108(constB55) | (~(v111(constB55) | v112(constB55)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11380,plain,
% 12.91/9.00 (v108(constB55)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11379, 11378, 5929])).
% 12.91/9.00 tff(11381,plain,
% 12.91/9.00 ((~(v110(constB56) <=> v108(constB55))) | v110(constB56) | (~v108(constB55))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11382,plain,
% 12.91/9.00 (v110(constB56)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11381, 11380, 5927])).
% 12.91/9.00 tff(11383,plain,
% 12.91/9.00 ((~((~v101(constB56)) | (~v110(constB56)))) | (~v101(constB56)) | (~v110(constB56))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11384,plain,
% 12.91/9.00 (~((~v101(constB56)) | (~v110(constB56)))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11383, 11382, 5923])).
% 12.91/9.00 tff(11385,plain,
% 12.91/9.00 ((~(v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))) | v100(constB56) | ((~v101(constB56)) | (~v110(constB56)))),
% 12.91/9.00 inference(tautology,[status(thm)],[])).
% 12.91/9.00 tff(11386,plain,
% 12.91/9.00 (v100(constB56)),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11385, 11384, 5892])).
% 12.91/9.00 tff(11387,plain,
% 12.91/9.00 (((~![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))))),
% 12.91/9.00 inference(rewrite,[status(thm)],[])).
% 12.91/9.00 tff(11388,plain,
% 12.91/9.00 ((~![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))))),
% 12.91/9.00 inference(quant_inst,[status(thm)],[])).
% 12.91/9.00 tff(11389,plain,
% 12.91/9.00 ((~![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)))),
% 12.91/9.00 inference(modus_ponens,[status(thm)],[11388, 11387])).
% 12.91/9.00 tff(11390,plain,
% 12.91/9.00 ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11389, 1405])).
% 12.91/9.00 tff(11391,plain,
% 12.91/9.00 (![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 12.91/9.00 inference(unit_resolution,[status(thm)],[11390, 11386])).
% 12.91/9.00 tff(11392,plain,
% 12.91/9.00 (((~![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)))),
% 12.91/9.00 inference(rewrite,[status(thm)],[])).
% 12.91/9.00 tff(11393,plain,
% 12.91/9.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11394,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11393, 11392])).
% 12.98/9.00 tff(11395,plain,
% 12.98/9.00 (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11394, 579, 11391])).
% 12.98/9.00 tff(11396,plain,
% 12.98/9.00 (((~![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))))),
% 12.98/9.00 inference(rewrite,[status(thm)],[])).
% 12.98/9.00 tff(11397,plain,
% 12.98/9.00 ((~![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))))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11398,plain,
% 12.98/9.00 ((~![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)))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11397, 11396])).
% 12.98/9.00 tff(11399,plain,
% 12.98/9.00 (![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11398, 5888, 1427])).
% 12.98/9.00 tff(11400,plain,
% 12.98/9.00 (((~![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)))),
% 12.98/9.00 inference(rewrite,[status(thm)],[])).
% 12.98/9.00 tff(11401,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11402,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11401, 11400])).
% 12.98/9.00 tff(11403,plain,
% 12.98/9.00 (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11402, 579, 11399])).
% 12.98/9.00 tff(11404,plain,
% 12.98/9.00 (((~![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))))),
% 12.98/9.00 inference(rewrite,[status(thm)],[])).
% 12.98/9.00 tff(11405,plain,
% 12.98/9.00 ((~![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))))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11406,plain,
% 12.98/9.00 ((~![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)))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 12.98/9.00 tff(11407,plain,
% 12.98/9.00 (![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11406, 1448, 11368])).
% 12.98/9.00 tff(11408,plain,
% 12.98/9.00 (((~![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)))),
% 12.98/9.00 inference(rewrite,[status(thm)],[])).
% 12.98/9.00 tff(11409,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11410,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 12.98/9.00 tff(11411,plain,
% 12.98/9.00 (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11410, 579, 11407])).
% 12.98/9.00 tff(11412,plain,
% 12.98/9.00 (((~![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))))),
% 12.98/9.00 inference(rewrite,[status(thm)],[])).
% 12.98/9.00 tff(11413,plain,
% 12.98/9.00 ((~![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))))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11414,plain,
% 12.98/9.00 ((~![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)))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 12.98/9.00 tff(11415,plain,
% 12.98/9.00 ((~v122(constB55)) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11414, 2008])).
% 12.98/9.00 tff(11416,plain,
% 12.98/9.00 (![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11415, 11343])).
% 12.98/9.00 tff(11417,plain,
% 12.98/9.00 (((~![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)))),
% 12.98/9.00 inference(rewrite,[status(thm)],[])).
% 12.98/9.00 tff(11418,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b100(bitIndex2)))),
% 12.98/9.00 inference(quant_inst,[status(thm)],[])).
% 12.98/9.00 tff(11419,plain,
% 12.98/9.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b100(bitIndex2))),
% 12.98/9.00 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 12.98/9.00 tff(11420,plain,
% 12.98/9.00 (v130(constB55, bitIndex2) <=> b100(bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11419, 579, 11416])).
% 12.98/9.00 tff(11421,plain,
% 12.98/9.00 ((~(v130(constB55, bitIndex2) <=> b100(bitIndex2))) | v130(constB55, bitIndex2) | (~b100(bitIndex2))),
% 12.98/9.00 inference(tautology,[status(thm)],[])).
% 12.98/9.00 tff(11422,plain,
% 12.98/9.00 ((~(v130(constB55, bitIndex2) <=> b100(bitIndex2))) | v130(constB55, bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11421, 2020])).
% 12.98/9.00 tff(11423,plain,
% 12.98/9.00 (v130(constB55, bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11422, 11420])).
% 12.98/9.00 tff(11424,plain,
% 12.98/9.00 ((~(v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2))) | v127(constB55, bitIndex2) | (~v130(constB55, bitIndex2))),
% 12.98/9.00 inference(tautology,[status(thm)],[])).
% 12.98/9.00 tff(11425,plain,
% 12.98/9.00 (v127(constB55, bitIndex2)),
% 12.98/9.00 inference(unit_resolution,[status(thm)],[11424, 11423, 11411])).
% 12.98/9.00 tff(11426,plain,
% 12.98/9.00 ((~(v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2))) | v129(constB56, bitIndex2) | (~v127(constB55, bitIndex2))),
% 12.98/9.00 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11427,plain,
% 12.98/9.01 (v129(constB56, bitIndex2)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11426, 11425, 11403])).
% 12.98/9.01 tff(11428,plain,
% 12.98/9.01 ((~(v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11429,plain,
% 12.98/9.01 (v90(constB56, bitIndex2)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11428, 11427, 11395])).
% 12.98/9.01 tff(11430,plain,
% 12.98/9.01 ((~(v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2))) | v90(constB57, bitIndex2) | (~v90(constB56, bitIndex2))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11431,plain,
% 12.98/9.01 (v90(constB57, bitIndex2)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11430, 11429, 5885])).
% 12.98/9.01 tff(11432,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11433,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11434,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11433, 11432])).
% 12.98/9.01 tff(11435,plain,
% 12.98/9.01 (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11434, 1275, 5881])).
% 12.98/9.01 tff(11436,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11437,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11438,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11437, 11436])).
% 12.98/9.01 tff(11439,plain,
% 12.98/9.01 (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11438, 1275, 11391])).
% 12.98/9.01 tff(11440,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11441,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11442,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 12.98/9.01 tff(11443,plain,
% 12.98/9.01 (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11442, 1275, 11399])).
% 12.98/9.01 tff(11444,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11445,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11446,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11445, 11444])).
% 12.98/9.01 tff(11447,plain,
% 12.98/9.01 (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11446, 1275, 11407])).
% 12.98/9.01 tff(11448,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11449,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b100(bitIndex0)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11450,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b100(bitIndex0))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 12.98/9.01 tff(11451,plain,
% 12.98/9.01 (v130(constB55, bitIndex0) <=> b100(bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11450, 1275, 11416])).
% 12.98/9.01 tff(11452,plain,
% 12.98/9.01 ((~(v130(constB55, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB55, bitIndex0)) | b100(bitIndex0)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11453,plain,
% 12.98/9.01 ((~(v130(constB55, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB55, bitIndex0))),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11452, 2054])).
% 12.98/9.01 tff(11454,plain,
% 12.98/9.01 (~v130(constB55, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11453, 11451])).
% 12.98/9.01 tff(11455,plain,
% 12.98/9.01 ((~(v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0))) | (~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11456,plain,
% 12.98/9.01 (~v127(constB55, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11455, 11454, 11447])).
% 12.98/9.01 tff(11457,plain,
% 12.98/9.01 ((~(v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0))) | (~v129(constB56, bitIndex0)) | v127(constB55, bitIndex0)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11458,plain,
% 12.98/9.01 (~v129(constB56, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11457, 11456, 11443])).
% 12.98/9.01 tff(11459,plain,
% 12.98/9.01 ((~(v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11460,plain,
% 12.98/9.01 (~v90(constB56, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11459, 11458, 11439])).
% 12.98/9.01 tff(11461,plain,
% 12.98/9.01 ((~(v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0))) | (~v90(constB57, bitIndex0)) | v90(constB56, bitIndex0)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11462,plain,
% 12.98/9.01 (~v90(constB57, bitIndex0)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11461, 11460, 11435])).
% 12.98/9.01 tff(11463,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11464,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11465,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 12.98/9.01 tff(11466,plain,
% 12.98/9.01 (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11465, 1288, 5881])).
% 12.98/9.01 tff(11467,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11468,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11469,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 12.98/9.01 tff(11470,plain,
% 12.98/9.01 (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11469, 1288, 11391])).
% 12.98/9.01 tff(11471,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11472,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11473,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 12.98/9.01 tff(11474,plain,
% 12.98/9.01 (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11473, 1288, 11399])).
% 12.98/9.01 tff(11475,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11476,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11477,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 12.98/9.01 tff(11478,plain,
% 12.98/9.01 (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11477, 1288, 11407])).
% 12.98/9.01 tff(11479,plain,
% 12.98/9.01 (((~![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)))),
% 12.98/9.01 inference(rewrite,[status(thm)],[])).
% 12.98/9.01 tff(11480,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b100(bitIndex1)))),
% 12.98/9.01 inference(quant_inst,[status(thm)],[])).
% 12.98/9.01 tff(11481,plain,
% 12.98/9.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b100(bitIndex1))),
% 12.98/9.01 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 12.98/9.01 tff(11482,plain,
% 12.98/9.01 (v130(constB55, bitIndex1) <=> b100(bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11481, 1288, 11416])).
% 12.98/9.01 tff(11483,plain,
% 12.98/9.01 ((~(v130(constB55, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB55, bitIndex1)) | b100(bitIndex1)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11484,plain,
% 12.98/9.01 ((~(v130(constB55, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB55, bitIndex1))),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11483, 2088])).
% 12.98/9.01 tff(11485,plain,
% 12.98/9.01 (~v130(constB55, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11484, 11482])).
% 12.98/9.01 tff(11486,plain,
% 12.98/9.01 ((~(v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1))) | (~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11487,plain,
% 12.98/9.01 (~v127(constB55, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11486, 11485, 11478])).
% 12.98/9.01 tff(11488,plain,
% 12.98/9.01 ((~(v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1))) | (~v129(constB56, bitIndex1)) | v127(constB55, bitIndex1)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11489,plain,
% 12.98/9.01 (~v129(constB56, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11488, 11487, 11474])).
% 12.98/9.01 tff(11490,plain,
% 12.98/9.01 ((~(v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11491,plain,
% 12.98/9.01 (~v90(constB56, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11490, 11489, 11470])).
% 12.98/9.01 tff(11492,plain,
% 12.98/9.01 ((~(v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1))) | (~v90(constB57, bitIndex1)) | v90(constB56, bitIndex1)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11493,plain,
% 12.98/9.01 (~v90(constB57, bitIndex1)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11492, 11491, 11466])).
% 12.98/9.01 tff(11494,plain,
% 12.98/9.01 ((~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))) | (~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11495,plain,
% 12.98/9.01 (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11494, 11493, 11462, 11431])).
% 12.98/9.01 tff(11496,plain,
% 12.98/9.01 ((~(v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))) | v123(constB57) | ((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11497,plain,
% 12.98/9.01 (v123(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11496, 11495, 5853])).
% 12.98/9.01 tff(11498,plain,
% 12.98/9.01 ((v116(constB57) | v123(constB57)) | (~v123(constB57))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11499,plain,
% 12.98/9.01 (v116(constB57) | v123(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11498, 11497])).
% 12.98/9.01 tff(11500,plain,
% 12.98/9.01 ((~(v115(constB57) <=> (v116(constB57) | v123(constB57)))) | v115(constB57) | (~(v116(constB57) | v123(constB57)))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11501,plain,
% 12.98/9.01 (v115(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11500, 11499, 5846])).
% 12.98/9.01 tff(11502,plain,
% 12.98/9.01 ((v115(constB57) | v124(constB57)) | (~v115(constB57))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11503,plain,
% 12.98/9.01 (v115(constB57) | v124(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11502, 11501])).
% 12.98/9.01 tff(11504,plain,
% 12.98/9.01 ((~(v114(constB57) <=> (v115(constB57) | v124(constB57)))) | v114(constB57) | (~(v115(constB57) | v124(constB57)))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11505,plain,
% 12.98/9.01 (v114(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11504, 11503, 5844])).
% 12.98/9.01 tff(11506,plain,
% 12.98/9.01 ((v114(constB57) | v125(constB57)) | (~v114(constB57))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11507,plain,
% 12.98/9.01 (v114(constB57) | v125(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11506, 11505])).
% 12.98/9.01 tff(11508,plain,
% 12.98/9.01 ((~(v113(constB57) <=> (v114(constB57) | v125(constB57)))) | v113(constB57) | (~(v114(constB57) | v125(constB57)))),
% 12.98/9.01 inference(tautology,[status(thm)],[])).
% 12.98/9.01 tff(11509,plain,
% 12.98/9.01 (v113(constB57)),
% 12.98/9.01 inference(unit_resolution,[status(thm)],[11508, 11507, 5842])).
% 12.98/9.01 tff(11510,plain,
% 12.98/9.01 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB57)) <=> v111(constB57))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11511,plain,
% 12.98/9.02 ((~v126(constB57)) <=> v111(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11510, 1345])).
% 12.98/9.02 tff(11512,plain,
% 12.98/9.02 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11513,plain,
% 12.98/9.02 (v111(constB57) <=> v26(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11512, 1357])).
% 12.98/9.02 tff(11514,plain,
% 12.98/9.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11515,plain,
% 12.98/9.02 (~v26(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11514, 1369])).
% 12.98/9.02 tff(11516,plain,
% 12.98/9.02 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11517,plain,
% 12.98/9.02 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11516, 11515])).
% 12.98/9.02 tff(11518,plain,
% 12.98/9.02 (~v111(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11517, 11513])).
% 12.98/9.02 tff(11519,plain,
% 12.98/9.02 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57) | v111(constB57)),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11520,plain,
% 12.98/9.02 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11519, 11518])).
% 12.98/9.02 tff(11521,plain,
% 12.98/9.02 (v126(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11520, 11511])).
% 12.98/9.02 tff(11522,plain,
% 12.98/9.02 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57)) | (~v126(constB57))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11523,plain,
% 12.98/9.02 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11522, 11521])).
% 12.98/9.02 tff(11524,plain,
% 12.98/9.02 (~((~v113(constB57)) | (~v126(constB57)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11523, 11509])).
% 12.98/9.02 tff(11525,plain,
% 12.98/9.02 ((~(v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))) | v112(constB57) | ((~v113(constB57)) | (~v126(constB57)))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11526,plain,
% 12.98/9.02 (v112(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11525, 11524, 5840])).
% 12.98/9.02 tff(11527,plain,
% 12.98/9.02 ((v111(constB57) | v112(constB57)) | (~v112(constB57))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11528,plain,
% 12.98/9.02 (v111(constB57) | v112(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11527, 11526])).
% 12.98/9.02 tff(11529,plain,
% 12.98/9.02 ((~(v108(constB57) <=> (v111(constB57) | v112(constB57)))) | v108(constB57) | (~(v111(constB57) | v112(constB57)))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11530,plain,
% 12.98/9.02 (v108(constB57)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11529, 11528, 5838])).
% 12.98/9.02 tff(11531,plain,
% 12.98/9.02 ((~(v110(constB58) <=> v108(constB57))) | v110(constB58) | (~v108(constB57))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11532,plain,
% 12.98/9.02 (v110(constB58)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11531, 11530, 5836])).
% 12.98/9.02 tff(11533,plain,
% 12.98/9.02 ((~((~v101(constB58)) | (~v110(constB58)))) | (~v101(constB58)) | (~v110(constB58))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11534,plain,
% 12.98/9.02 (~((~v101(constB58)) | (~v110(constB58)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11533, 11532, 5832])).
% 12.98/9.02 tff(11535,plain,
% 12.98/9.02 ((~(v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))) | v100(constB58) | ((~v101(constB58)) | (~v110(constB58)))),
% 12.98/9.02 inference(tautology,[status(thm)],[])).
% 12.98/9.02 tff(11536,plain,
% 12.98/9.02 (v100(constB58)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11535, 11534, 5801])).
% 12.98/9.02 tff(11537,plain,
% 12.98/9.02 (((~![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))))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11538,plain,
% 12.98/9.02 ((~![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))))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11539,plain,
% 12.98/9.02 ((~![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)))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 12.98/9.02 tff(11540,plain,
% 12.98/9.02 ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11539, 1405])).
% 12.98/9.02 tff(11541,plain,
% 12.98/9.02 (![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11540, 11536])).
% 12.98/9.02 tff(11542,plain,
% 12.98/9.02 (((~![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)))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11543,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11544,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 12.98/9.02 tff(11545,plain,
% 12.98/9.02 (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11544, 579, 11541])).
% 12.98/9.02 tff(11546,plain,
% 12.98/9.02 (((~![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))))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11547,plain,
% 12.98/9.02 ((~![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))))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11548,plain,
% 12.98/9.02 ((~![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)))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 12.98/9.02 tff(11549,plain,
% 12.98/9.02 (![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11548, 5797, 1427])).
% 12.98/9.02 tff(11550,plain,
% 12.98/9.02 (((~![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)))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11551,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11552,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11551, 11550])).
% 12.98/9.02 tff(11553,plain,
% 12.98/9.02 (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11552, 579, 11549])).
% 12.98/9.02 tff(11554,plain,
% 12.98/9.02 (((~![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))))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11555,plain,
% 12.98/9.02 ((~![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))))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11556,plain,
% 12.98/9.02 ((~![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)))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11555, 11554])).
% 12.98/9.02 tff(11557,plain,
% 12.98/9.02 (![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11556, 1448, 11518])).
% 12.98/9.02 tff(11558,plain,
% 12.98/9.02 (((~![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)))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11559,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11560,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11559, 11558])).
% 12.98/9.02 tff(11561,plain,
% 12.98/9.02 (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11560, 579, 11557])).
% 12.98/9.02 tff(11562,plain,
% 12.98/9.02 (((~![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))))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11563,plain,
% 12.98/9.02 ((~![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))))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11564,plain,
% 12.98/9.02 ((~![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)))),
% 12.98/9.02 inference(modus_ponens,[status(thm)],[11563, 11562])).
% 12.98/9.02 tff(11565,plain,
% 12.98/9.02 ((~v123(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11564, 2180])).
% 12.98/9.02 tff(11566,plain,
% 12.98/9.02 (![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))),
% 12.98/9.02 inference(unit_resolution,[status(thm)],[11565, 11497])).
% 12.98/9.02 tff(11567,plain,
% 12.98/9.02 (((~![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)))),
% 12.98/9.02 inference(rewrite,[status(thm)],[])).
% 12.98/9.02 tff(11568,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b101(bitIndex2)))),
% 12.98/9.02 inference(quant_inst,[status(thm)],[])).
% 12.98/9.02 tff(11569,plain,
% 12.98/9.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b101(bitIndex2))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 12.98/9.03 tff(11570,plain,
% 12.98/9.03 (v130(constB57, bitIndex2) <=> b101(bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11569, 579, 11566])).
% 12.98/9.03 tff(11571,plain,
% 12.98/9.03 ((~(v130(constB57, bitIndex2) <=> b101(bitIndex2))) | v130(constB57, bitIndex2) | (~b101(bitIndex2))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11572,plain,
% 12.98/9.03 ((~(v130(constB57, bitIndex2) <=> b101(bitIndex2))) | v130(constB57, bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11571, 2192])).
% 12.98/9.03 tff(11573,plain,
% 12.98/9.03 (v130(constB57, bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11572, 11570])).
% 12.98/9.03 tff(11574,plain,
% 12.98/9.03 ((~(v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2))) | v127(constB57, bitIndex2) | (~v130(constB57, bitIndex2))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11575,plain,
% 12.98/9.03 (v127(constB57, bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11574, 11573, 11561])).
% 12.98/9.03 tff(11576,plain,
% 12.98/9.03 ((~(v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2))) | v129(constB58, bitIndex2) | (~v127(constB57, bitIndex2))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11577,plain,
% 12.98/9.03 (v129(constB58, bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11576, 11575, 11553])).
% 12.98/9.03 tff(11578,plain,
% 12.98/9.03 ((~(v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11579,plain,
% 12.98/9.03 (v90(constB58, bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11578, 11577, 11545])).
% 12.98/9.03 tff(11580,plain,
% 12.98/9.03 ((~(v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2))) | v90(constB59, bitIndex2) | (~v90(constB58, bitIndex2))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11581,plain,
% 12.98/9.03 (v90(constB59, bitIndex2)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11580, 11579, 5794])).
% 12.98/9.03 tff(11582,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11583,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11584,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 12.98/9.03 tff(11585,plain,
% 12.98/9.03 (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11584, 1275, 5790])).
% 12.98/9.03 tff(11586,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11587,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11588,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 12.98/9.03 tff(11589,plain,
% 12.98/9.03 (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11588, 1275, 11541])).
% 12.98/9.03 tff(11590,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11591,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11592,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11591, 11590])).
% 12.98/9.03 tff(11593,plain,
% 12.98/9.03 (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11592, 1275, 11549])).
% 12.98/9.03 tff(11594,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11595,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11596,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 12.98/9.03 tff(11597,plain,
% 12.98/9.03 (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11596, 1275, 11557])).
% 12.98/9.03 tff(11598,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11599,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b101(bitIndex0)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11600,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b101(bitIndex0))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 12.98/9.03 tff(11601,plain,
% 12.98/9.03 (v130(constB57, bitIndex0) <=> b101(bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11600, 1275, 11566])).
% 12.98/9.03 tff(11602,plain,
% 12.98/9.03 ((~(v130(constB57, bitIndex0) <=> b101(bitIndex0))) | v130(constB57, bitIndex0) | (~b101(bitIndex0))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11603,plain,
% 12.98/9.03 ((~(v130(constB57, bitIndex0) <=> b101(bitIndex0))) | v130(constB57, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11602, 2351])).
% 12.98/9.03 tff(11604,plain,
% 12.98/9.03 (v130(constB57, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11603, 11601])).
% 12.98/9.03 tff(11605,plain,
% 12.98/9.03 ((~(v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0))) | v127(constB57, bitIndex0) | (~v130(constB57, bitIndex0))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11606,plain,
% 12.98/9.03 (v127(constB57, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11605, 11604, 11597])).
% 12.98/9.03 tff(11607,plain,
% 12.98/9.03 ((~(v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0))) | v129(constB58, bitIndex0) | (~v127(constB57, bitIndex0))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11608,plain,
% 12.98/9.03 (v129(constB58, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11607, 11606, 11593])).
% 12.98/9.03 tff(11609,plain,
% 12.98/9.03 ((~(v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11610,plain,
% 12.98/9.03 (v90(constB58, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11609, 11608, 11589])).
% 12.98/9.03 tff(11611,plain,
% 12.98/9.03 ((~(v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0))) | v90(constB59, bitIndex0) | (~v90(constB58, bitIndex0))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11612,plain,
% 12.98/9.03 (v90(constB59, bitIndex0)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11611, 11610, 11585])).
% 12.98/9.03 tff(11613,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11614,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11615,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11614, 11613])).
% 12.98/9.03 tff(11616,plain,
% 12.98/9.03 (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11615, 1288, 5790])).
% 12.98/9.03 tff(11617,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11618,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11619,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11618, 11617])).
% 12.98/9.03 tff(11620,plain,
% 12.98/9.03 (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11619, 1288, 11541])).
% 12.98/9.03 tff(11621,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11622,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11623,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11622, 11621])).
% 12.98/9.03 tff(11624,plain,
% 12.98/9.03 (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11623, 1288, 11549])).
% 12.98/9.03 tff(11625,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11626,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11627,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11626, 11625])).
% 12.98/9.03 tff(11628,plain,
% 12.98/9.03 (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11627, 1288, 11557])).
% 12.98/9.03 tff(11629,plain,
% 12.98/9.03 (((~![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)))),
% 12.98/9.03 inference(rewrite,[status(thm)],[])).
% 12.98/9.03 tff(11630,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b101(bitIndex1)))),
% 12.98/9.03 inference(quant_inst,[status(thm)],[])).
% 12.98/9.03 tff(11631,plain,
% 12.98/9.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b101(bitIndex1))),
% 12.98/9.03 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 12.98/9.03 tff(11632,plain,
% 12.98/9.03 (v130(constB57, bitIndex1) <=> b101(bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11631, 1288, 11566])).
% 12.98/9.03 tff(11633,plain,
% 12.98/9.03 ((~(v130(constB57, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB57, bitIndex1)) | b101(bitIndex1)),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11634,plain,
% 12.98/9.03 ((~(v130(constB57, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB57, bitIndex1))),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11633, 2391])).
% 12.98/9.03 tff(11635,plain,
% 12.98/9.03 (~v130(constB57, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11634, 11632])).
% 12.98/9.03 tff(11636,plain,
% 12.98/9.03 ((~(v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1))) | (~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11637,plain,
% 12.98/9.03 (~v127(constB57, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11636, 11635, 11628])).
% 12.98/9.03 tff(11638,plain,
% 12.98/9.03 ((~(v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1))) | (~v129(constB58, bitIndex1)) | v127(constB57, bitIndex1)),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11639,plain,
% 12.98/9.03 (~v129(constB58, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11638, 11637, 11624])).
% 12.98/9.03 tff(11640,plain,
% 12.98/9.03 ((~(v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1)),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11641,plain,
% 12.98/9.03 (~v90(constB58, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11640, 11639, 11620])).
% 12.98/9.03 tff(11642,plain,
% 12.98/9.03 ((~(v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1))) | (~v90(constB59, bitIndex1)) | v90(constB58, bitIndex1)),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11643,plain,
% 12.98/9.03 (~v90(constB59, bitIndex1)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11642, 11641, 11616])).
% 12.98/9.03 tff(11644,plain,
% 12.98/9.03 ((~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))) | (~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11645,plain,
% 12.98/9.03 (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11644, 11643, 11612, 11581])).
% 12.98/9.03 tff(11646,plain,
% 12.98/9.03 ((~(v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))) | v124(constB59) | ((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11647,plain,
% 12.98/9.03 (v124(constB59)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11646, 11645, 5762])).
% 12.98/9.03 tff(11648,plain,
% 12.98/9.03 ((v115(constB59) | v124(constB59)) | (~v124(constB59))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11649,plain,
% 12.98/9.03 (v115(constB59) | v124(constB59)),
% 12.98/9.03 inference(unit_resolution,[status(thm)],[11648, 11647])).
% 12.98/9.03 tff(11650,plain,
% 12.98/9.03 ((~(v114(constB59) <=> (v115(constB59) | v124(constB59)))) | v114(constB59) | (~(v115(constB59) | v124(constB59)))),
% 12.98/9.03 inference(tautology,[status(thm)],[])).
% 12.98/9.03 tff(11651,plain,
% 12.98/9.03 (v114(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11650, 11649, 5755])).
% 12.98/9.04 tff(11652,plain,
% 12.98/9.04 ((v114(constB59) | v125(constB59)) | (~v114(constB59))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11653,plain,
% 12.98/9.04 (v114(constB59) | v125(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11652, 11651])).
% 12.98/9.04 tff(11654,plain,
% 12.98/9.04 ((~(v113(constB59) <=> (v114(constB59) | v125(constB59)))) | v113(constB59) | (~(v114(constB59) | v125(constB59)))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11655,plain,
% 12.98/9.04 (v113(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11654, 11653, 5753])).
% 12.98/9.04 tff(11656,plain,
% 12.98/9.04 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB59)) <=> v111(constB59))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11657,plain,
% 12.98/9.04 ((~v126(constB59)) <=> v111(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11656, 1345])).
% 12.98/9.04 tff(11658,plain,
% 12.98/9.04 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11659,plain,
% 12.98/9.04 (v111(constB59) <=> v26(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11658, 1357])).
% 12.98/9.04 tff(11660,plain,
% 12.98/9.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11661,plain,
% 12.98/9.04 (~v26(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11660, 1369])).
% 12.98/9.04 tff(11662,plain,
% 12.98/9.04 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11663,plain,
% 12.98/9.04 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11662, 11661])).
% 12.98/9.04 tff(11664,plain,
% 12.98/9.04 (~v111(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11663, 11659])).
% 12.98/9.04 tff(11665,plain,
% 12.98/9.04 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59) | v111(constB59)),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11666,plain,
% 12.98/9.04 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11665, 11664])).
% 12.98/9.04 tff(11667,plain,
% 12.98/9.04 (v126(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11666, 11657])).
% 12.98/9.04 tff(11668,plain,
% 12.98/9.04 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59)) | (~v126(constB59))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11669,plain,
% 12.98/9.04 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11668, 11667])).
% 12.98/9.04 tff(11670,plain,
% 12.98/9.04 (~((~v113(constB59)) | (~v126(constB59)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11669, 11655])).
% 12.98/9.04 tff(11671,plain,
% 12.98/9.04 ((~(v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))) | v112(constB59) | ((~v113(constB59)) | (~v126(constB59)))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11672,plain,
% 12.98/9.04 (v112(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11671, 11670, 5751])).
% 12.98/9.04 tff(11673,plain,
% 12.98/9.04 ((v111(constB59) | v112(constB59)) | (~v112(constB59))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11674,plain,
% 12.98/9.04 (v111(constB59) | v112(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11673, 11672])).
% 12.98/9.04 tff(11675,plain,
% 12.98/9.04 ((~(v108(constB59) <=> (v111(constB59) | v112(constB59)))) | v108(constB59) | (~(v111(constB59) | v112(constB59)))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11676,plain,
% 12.98/9.04 (v108(constB59)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11675, 11674, 5749])).
% 12.98/9.04 tff(11677,plain,
% 12.98/9.04 ((~(v110(constB60) <=> v108(constB59))) | v110(constB60) | (~v108(constB59))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11678,plain,
% 12.98/9.04 (v110(constB60)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11677, 11676, 5747])).
% 12.98/9.04 tff(11679,plain,
% 12.98/9.04 ((~((~v101(constB60)) | (~v110(constB60)))) | (~v101(constB60)) | (~v110(constB60))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11680,plain,
% 12.98/9.04 (~((~v101(constB60)) | (~v110(constB60)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11679, 11678, 5743])).
% 12.98/9.04 tff(11681,plain,
% 12.98/9.04 ((~(v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))) | v100(constB60) | ((~v101(constB60)) | (~v110(constB60)))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11682,plain,
% 12.98/9.04 (v100(constB60)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11681, 11680, 5712])).
% 12.98/9.04 tff(11683,plain,
% 12.98/9.04 (((~![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))))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11684,plain,
% 12.98/9.04 ((~![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))))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11685,plain,
% 12.98/9.04 ((~![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)))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 12.98/9.04 tff(11686,plain,
% 12.98/9.04 ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11685, 1405])).
% 12.98/9.04 tff(11687,plain,
% 12.98/9.04 (![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11686, 11682])).
% 12.98/9.04 tff(11688,plain,
% 12.98/9.04 (((~![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)))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11689,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11690,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 12.98/9.04 tff(11691,plain,
% 12.98/9.04 (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11690, 579, 11687])).
% 12.98/9.04 tff(11692,plain,
% 12.98/9.04 (((~![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))))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11693,plain,
% 12.98/9.04 ((~![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))))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11694,plain,
% 12.98/9.04 ((~![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)))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 12.98/9.04 tff(11695,plain,
% 12.98/9.04 (![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11694, 5708, 1427])).
% 12.98/9.04 tff(11696,plain,
% 12.98/9.04 (((~![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)))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11697,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11698,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 12.98/9.04 tff(11699,plain,
% 12.98/9.04 (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11698, 579, 11695])).
% 12.98/9.04 tff(11700,plain,
% 12.98/9.04 (((~![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))))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11701,plain,
% 12.98/9.04 ((~![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))))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11702,plain,
% 12.98/9.04 ((~![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)))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11701, 11700])).
% 12.98/9.04 tff(11703,plain,
% 12.98/9.04 (![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11702, 1448, 11664])).
% 12.98/9.04 tff(11704,plain,
% 12.98/9.04 (((~![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)))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11705,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11706,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 12.98/9.04 tff(11707,plain,
% 12.98/9.04 (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11706, 579, 11703])).
% 12.98/9.04 tff(11708,plain,
% 12.98/9.04 (((~![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))))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11709,plain,
% 12.98/9.04 ((~![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))))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11710,plain,
% 12.98/9.04 ((~![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)))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 12.98/9.04 tff(11711,plain,
% 12.98/9.04 ((~v124(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11710, 2735])).
% 12.98/9.04 tff(11712,plain,
% 12.98/9.04 (![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11711, 11647])).
% 12.98/9.04 tff(11713,plain,
% 12.98/9.04 (((~![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)))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11714,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b110(bitIndex2)))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11715,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b110(bitIndex2))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 12.98/9.04 tff(11716,plain,
% 12.98/9.04 (v130(constB59, bitIndex2) <=> b110(bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11715, 579, 11712])).
% 12.98/9.04 tff(11717,plain,
% 12.98/9.04 ((~(v130(constB59, bitIndex2) <=> b110(bitIndex2))) | v130(constB59, bitIndex2) | (~b110(bitIndex2))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11718,plain,
% 12.98/9.04 ((~(v130(constB59, bitIndex2) <=> b110(bitIndex2))) | v130(constB59, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11717, 2747])).
% 12.98/9.04 tff(11719,plain,
% 12.98/9.04 (v130(constB59, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11718, 11716])).
% 12.98/9.04 tff(11720,plain,
% 12.98/9.04 ((~(v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2))) | v127(constB59, bitIndex2) | (~v130(constB59, bitIndex2))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11721,plain,
% 12.98/9.04 (v127(constB59, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11720, 11719, 11707])).
% 12.98/9.04 tff(11722,plain,
% 12.98/9.04 ((~(v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2))) | v129(constB60, bitIndex2) | (~v127(constB59, bitIndex2))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11723,plain,
% 12.98/9.04 (v129(constB60, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11722, 11721, 11699])).
% 12.98/9.04 tff(11724,plain,
% 12.98/9.04 ((~(v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11725,plain,
% 12.98/9.04 (v90(constB60, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11724, 11723, 11691])).
% 12.98/9.04 tff(11726,plain,
% 12.98/9.04 ((~(v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2))) | v90(constB61, bitIndex2) | (~v90(constB60, bitIndex2))),
% 12.98/9.04 inference(tautology,[status(thm)],[])).
% 12.98/9.04 tff(11727,plain,
% 12.98/9.04 (v90(constB61, bitIndex2)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11726, 11725, 5705])).
% 12.98/9.04 tff(11728,plain,
% 12.98/9.04 (((~![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)))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11729,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))),
% 12.98/9.04 inference(quant_inst,[status(thm)],[])).
% 12.98/9.04 tff(11730,plain,
% 12.98/9.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0))),
% 12.98/9.04 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 12.98/9.04 tff(11731,plain,
% 12.98/9.04 (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)),
% 12.98/9.04 inference(unit_resolution,[status(thm)],[11730, 1275, 5701])).
% 12.98/9.04 tff(11732,plain,
% 12.98/9.04 (((~![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)))),
% 12.98/9.04 inference(rewrite,[status(thm)],[])).
% 12.98/9.04 tff(11733,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11734,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 12.98/9.05 tff(11735,plain,
% 12.98/9.05 (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11734, 1275, 11687])).
% 12.98/9.05 tff(11736,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11737,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11738,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 12.98/9.05 tff(11739,plain,
% 12.98/9.05 (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11738, 1275, 11695])).
% 12.98/9.05 tff(11740,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11741,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11742,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 12.98/9.05 tff(11743,plain,
% 12.98/9.05 (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11742, 1275, 11703])).
% 12.98/9.05 tff(11744,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11745,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b110(bitIndex0)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11746,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b110(bitIndex0))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 12.98/9.05 tff(11747,plain,
% 12.98/9.05 (v130(constB59, bitIndex0) <=> b110(bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11746, 1275, 11712])).
% 12.98/9.05 tff(11748,plain,
% 12.98/9.05 ((~(v130(constB59, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB59, bitIndex0)) | b110(bitIndex0)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11749,plain,
% 12.98/9.05 ((~(v130(constB59, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB59, bitIndex0))),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11748, 2862])).
% 12.98/9.05 tff(11750,plain,
% 12.98/9.05 (~v130(constB59, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11749, 11747])).
% 12.98/9.05 tff(11751,plain,
% 12.98/9.05 ((~(v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0))) | (~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11752,plain,
% 12.98/9.05 (~v127(constB59, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11751, 11750, 11743])).
% 12.98/9.05 tff(11753,plain,
% 12.98/9.05 ((~(v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0))) | (~v129(constB60, bitIndex0)) | v127(constB59, bitIndex0)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11754,plain,
% 12.98/9.05 (~v129(constB60, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11753, 11752, 11739])).
% 12.98/9.05 tff(11755,plain,
% 12.98/9.05 ((~(v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11756,plain,
% 12.98/9.05 (~v90(constB60, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11755, 11754, 11735])).
% 12.98/9.05 tff(11757,plain,
% 12.98/9.05 ((~(v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0))) | (~v90(constB61, bitIndex0)) | v90(constB60, bitIndex0)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11758,plain,
% 12.98/9.05 (~v90(constB61, bitIndex0)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11757, 11756, 11731])).
% 12.98/9.05 tff(11759,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11760,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11761,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11760, 11759])).
% 12.98/9.05 tff(11762,plain,
% 12.98/9.05 (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11761, 1288, 5701])).
% 12.98/9.05 tff(11763,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11764,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11765,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11764, 11763])).
% 12.98/9.05 tff(11766,plain,
% 12.98/9.05 (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11765, 1288, 11687])).
% 12.98/9.05 tff(11767,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11768,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11769,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 12.98/9.05 tff(11770,plain,
% 12.98/9.05 (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11769, 1288, 11695])).
% 12.98/9.05 tff(11771,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11772,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11773,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 12.98/9.05 tff(11774,plain,
% 12.98/9.05 (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11773, 1288, 11703])).
% 12.98/9.05 tff(11775,plain,
% 12.98/9.05 (((~![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)))),
% 12.98/9.05 inference(rewrite,[status(thm)],[])).
% 12.98/9.05 tff(11776,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b110(bitIndex1)))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11777,plain,
% 12.98/9.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b110(bitIndex1))),
% 12.98/9.05 inference(modus_ponens,[status(thm)],[11776, 11775])).
% 12.98/9.05 tff(11778,plain,
% 12.98/9.05 (v130(constB59, bitIndex1) <=> b110(bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11777, 1288, 11712])).
% 12.98/9.05 tff(11779,plain,
% 12.98/9.05 ((~(v130(constB59, bitIndex1) <=> b110(bitIndex1))) | v130(constB59, bitIndex1) | (~b110(bitIndex1))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11780,plain,
% 12.98/9.05 ((~(v130(constB59, bitIndex1) <=> b110(bitIndex1))) | v130(constB59, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11779, 2902])).
% 12.98/9.05 tff(11781,plain,
% 12.98/9.05 (v130(constB59, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11780, 11778])).
% 12.98/9.05 tff(11782,plain,
% 12.98/9.05 ((~(v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1))) | v127(constB59, bitIndex1) | (~v130(constB59, bitIndex1))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11783,plain,
% 12.98/9.05 (v127(constB59, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11782, 11781, 11774])).
% 12.98/9.05 tff(11784,plain,
% 12.98/9.05 ((~(v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1))) | v129(constB60, bitIndex1) | (~v127(constB59, bitIndex1))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11785,plain,
% 12.98/9.05 (v129(constB60, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11784, 11783, 11770])).
% 12.98/9.05 tff(11786,plain,
% 12.98/9.05 ((~(v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11787,plain,
% 12.98/9.05 (v90(constB60, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11786, 11785, 11766])).
% 12.98/9.05 tff(11788,plain,
% 12.98/9.05 ((~(v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1))) | v90(constB61, bitIndex1) | (~v90(constB60, bitIndex1))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11789,plain,
% 12.98/9.05 (v90(constB61, bitIndex1)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11788, 11787, 11762])).
% 12.98/9.05 tff(11790,plain,
% 12.98/9.05 ((~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11791,plain,
% 12.98/9.05 (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11790, 11789, 11758, 11727])).
% 12.98/9.05 tff(11792,plain,
% 12.98/9.05 ((~(v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))) | v125(constB61) | ((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11793,plain,
% 12.98/9.05 (v125(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11792, 11791, 5673])).
% 12.98/9.05 tff(11794,plain,
% 12.98/9.05 ((v114(constB61) | v125(constB61)) | (~v125(constB61))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11795,plain,
% 12.98/9.05 (v114(constB61) | v125(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11794, 11793])).
% 12.98/9.05 tff(11796,plain,
% 12.98/9.05 ((~(v113(constB61) <=> (v114(constB61) | v125(constB61)))) | v113(constB61) | (~(v114(constB61) | v125(constB61)))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11797,plain,
% 12.98/9.05 (v113(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11796, 11795, 5666])).
% 12.98/9.05 tff(11798,plain,
% 12.98/9.05 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB61)) <=> v111(constB61))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11799,plain,
% 12.98/9.05 ((~v126(constB61)) <=> v111(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11798, 1345])).
% 12.98/9.05 tff(11800,plain,
% 12.98/9.05 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11801,plain,
% 12.98/9.05 (v111(constB61) <=> v26(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11800, 1357])).
% 12.98/9.05 tff(11802,plain,
% 12.98/9.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 12.98/9.05 inference(quant_inst,[status(thm)],[])).
% 12.98/9.05 tff(11803,plain,
% 12.98/9.05 (~v26(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11802, 1369])).
% 12.98/9.05 tff(11804,plain,
% 12.98/9.05 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11805,plain,
% 12.98/9.05 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11804, 11803])).
% 12.98/9.05 tff(11806,plain,
% 12.98/9.05 (~v111(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11805, 11801])).
% 12.98/9.05 tff(11807,plain,
% 12.98/9.05 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61) | v111(constB61)),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11808,plain,
% 12.98/9.05 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11807, 11806])).
% 12.98/9.05 tff(11809,plain,
% 12.98/9.05 (v126(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11808, 11799])).
% 12.98/9.05 tff(11810,plain,
% 12.98/9.05 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61)) | (~v126(constB61))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11811,plain,
% 12.98/9.05 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61))),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11810, 11809])).
% 12.98/9.05 tff(11812,plain,
% 12.98/9.05 (~((~v113(constB61)) | (~v126(constB61)))),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11811, 11797])).
% 12.98/9.05 tff(11813,plain,
% 12.98/9.05 ((~(v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))) | v112(constB61) | ((~v113(constB61)) | (~v126(constB61)))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11814,plain,
% 12.98/9.05 (v112(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11813, 11812, 5664])).
% 12.98/9.05 tff(11815,plain,
% 12.98/9.05 ((v111(constB61) | v112(constB61)) | (~v112(constB61))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11816,plain,
% 12.98/9.05 (v111(constB61) | v112(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11815, 11814])).
% 12.98/9.05 tff(11817,plain,
% 12.98/9.05 ((~(v108(constB61) <=> (v111(constB61) | v112(constB61)))) | v108(constB61) | (~(v111(constB61) | v112(constB61)))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11818,plain,
% 12.98/9.05 (v108(constB61)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11817, 11816, 5662])).
% 12.98/9.05 tff(11819,plain,
% 12.98/9.05 ((~(v110(constB62) <=> v108(constB61))) | v110(constB62) | (~v108(constB61))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11820,plain,
% 12.98/9.05 (v110(constB62)),
% 12.98/9.05 inference(unit_resolution,[status(thm)],[11819, 11818, 5660])).
% 12.98/9.05 tff(11821,plain,
% 12.98/9.05 ((~((~v101(constB62)) | (~v110(constB62)))) | (~v101(constB62)) | (~v110(constB62))),
% 12.98/9.05 inference(tautology,[status(thm)],[])).
% 12.98/9.05 tff(11822,plain,
% 12.98/9.05 (~((~v101(constB62)) | (~v110(constB62)))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11821, 11820, 5656])).
% 13.03/9.06 tff(11823,plain,
% 13.03/9.06 ((~(v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))) | v100(constB62) | ((~v101(constB62)) | (~v110(constB62)))),
% 13.03/9.06 inference(tautology,[status(thm)],[])).
% 13.03/9.06 tff(11824,plain,
% 13.03/9.06 (v100(constB62)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11823, 11822, 5625])).
% 13.03/9.06 tff(11825,plain,
% 13.03/9.06 (((~![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))))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11826,plain,
% 13.03/9.06 ((~![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))))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11827,plain,
% 13.03/9.06 ((~![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)))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 13.03/9.06 tff(11828,plain,
% 13.03/9.06 ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11827, 1405])).
% 13.03/9.06 tff(11829,plain,
% 13.03/9.06 (![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11828, 11824])).
% 13.03/9.06 tff(11830,plain,
% 13.03/9.06 (((~![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)))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11831,plain,
% 13.03/9.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11832,plain,
% 13.03/9.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 13.03/9.06 tff(11833,plain,
% 13.03/9.06 (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11832, 579, 11829])).
% 13.03/9.06 tff(11834,plain,
% 13.03/9.06 (((~![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))))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11835,plain,
% 13.03/9.06 ((~![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))))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11836,plain,
% 13.03/9.06 ((~![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)))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 13.03/9.06 tff(11837,plain,
% 13.03/9.06 (![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11836, 5621, 1427])).
% 13.03/9.06 tff(11838,plain,
% 13.03/9.06 (((~![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)))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11839,plain,
% 13.03/9.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11840,plain,
% 13.03/9.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11839, 11838])).
% 13.03/9.06 tff(11841,plain,
% 13.03/9.06 (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11840, 579, 11837])).
% 13.03/9.06 tff(11842,plain,
% 13.03/9.06 (((~![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))))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11843,plain,
% 13.03/9.06 ((~![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))))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11844,plain,
% 13.03/9.06 ((~![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)))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 13.03/9.06 tff(11845,plain,
% 13.03/9.06 (![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11844, 1448, 11806])).
% 13.03/9.06 tff(11846,plain,
% 13.03/9.06 (((~![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)))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11847,plain,
% 13.03/9.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11848,plain,
% 13.03/9.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11847, 11846])).
% 13.03/9.06 tff(11849,plain,
% 13.03/9.06 (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11848, 579, 11845])).
% 13.03/9.06 tff(11850,plain,
% 13.03/9.06 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11851,plain,
% 13.03/9.06 (v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11850, 1242])).
% 13.03/9.06 tff(11852,plain,
% 13.03/9.06 ((v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex2))),
% 13.03/9.06 inference(tautology,[status(thm)],[])).
% 13.03/9.06 tff(11853,plain,
% 13.03/9.06 (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11852, 11727])).
% 13.03/9.06 tff(11854,plain,
% 13.03/9.06 ((~(v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))))) | (~v119(constB61)) | (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)))),
% 13.03/9.06 inference(tautology,[status(thm)],[])).
% 13.03/9.06 tff(11855,plain,
% 13.03/9.06 (~v119(constB61)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11854, 11853, 11851])).
% 13.03/9.06 tff(11856,plain,
% 13.03/9.06 (((~![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))))))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11857,plain,
% 13.03/9.06 ((v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2))))) <=> (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.06 inference(rewrite,[status(thm)],[])).
% 13.03/9.06 tff(11858,plain,
% 13.03/9.06 (((~![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))))))),
% 13.03/9.06 inference(monotonicity,[status(thm)],[11857])).
% 13.03/9.06 tff(11859,plain,
% 13.03/9.06 (((~![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))))))),
% 13.03/9.06 inference(transitivity,[status(thm)],[11858, 11856])).
% 13.03/9.06 tff(11860,plain,
% 13.03/9.06 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))),
% 13.03/9.06 inference(quant_inst,[status(thm)],[])).
% 13.03/9.06 tff(11861,plain,
% 13.03/9.06 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.06 inference(modus_ponens,[status(thm)],[11860, 11859])).
% 13.03/9.06 tff(11862,plain,
% 13.03/9.06 (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11861, 2651])).
% 13.03/9.06 tff(11863,plain,
% 13.03/9.06 (((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex1))),
% 13.03/9.06 inference(tautology,[status(thm)],[])).
% 13.03/9.06 tff(11864,plain,
% 13.03/9.06 ((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11863, 11789])).
% 13.03/9.06 tff(11865,plain,
% 13.03/9.06 ((~(v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))) | (~v124(constB61)) | (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 13.03/9.06 inference(tautology,[status(thm)],[])).
% 13.03/9.06 tff(11866,plain,
% 13.03/9.06 (~v124(constB61)),
% 13.03/9.06 inference(unit_resolution,[status(thm)],[11865, 11864, 11862])).
% 13.03/9.06 tff(11867,plain,
% 13.03/9.06 (((~![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)))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11868,plain,
% 13.03/9.07 ((v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2))))) <=> (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11869,plain,
% 13.03/9.07 (((~![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)))))),
% 13.03/9.07 inference(monotonicity,[status(thm)],[11868])).
% 13.03/9.07 tff(11870,plain,
% 13.03/9.07 (((~![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)))))),
% 13.03/9.07 inference(transitivity,[status(thm)],[11869, 11867])).
% 13.03/9.07 tff(11871,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))),
% 13.03/9.07 inference(quant_inst,[status(thm)],[])).
% 13.03/9.07 tff(11872,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))),
% 13.03/9.07 inference(modus_ponens,[status(thm)],[11871, 11870])).
% 13.03/9.07 tff(11873,plain,
% 13.03/9.07 (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11872, 787])).
% 13.03/9.07 tff(11874,plain,
% 13.03/9.07 (((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))),
% 13.03/9.07 inference(tautology,[status(thm)],[])).
% 13.03/9.07 tff(11875,plain,
% 13.03/9.07 ((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11874, 11789])).
% 13.03/9.07 tff(11876,plain,
% 13.03/9.07 ((~(v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))) | (~v123(constB61)) | (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))),
% 13.03/9.07 inference(tautology,[status(thm)],[])).
% 13.03/9.07 tff(11877,plain,
% 13.03/9.07 (~v123(constB61)),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11876, 11875, 11873])).
% 13.03/9.07 tff(11878,plain,
% 13.03/9.07 (((~![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))))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11879,plain,
% 13.03/9.07 ((v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))))) <=> (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11880,plain,
% 13.03/9.07 (((~![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))))))),
% 13.03/9.07 inference(monotonicity,[status(thm)],[11879])).
% 13.03/9.07 tff(11881,plain,
% 13.03/9.07 (((~![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))))))),
% 13.03/9.07 inference(transitivity,[status(thm)],[11880, 11878])).
% 13.03/9.07 tff(11882,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))),
% 13.03/9.07 inference(quant_inst,[status(thm)],[])).
% 13.03/9.07 tff(11883,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.07 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 13.03/9.07 tff(11884,plain,
% 13.03/9.07 (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11883, 900])).
% 13.03/9.07 tff(11885,plain,
% 13.03/9.07 ((v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2))),
% 13.03/9.07 inference(tautology,[status(thm)],[])).
% 13.03/9.07 tff(11886,plain,
% 13.03/9.07 (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11885, 11727])).
% 13.03/9.07 tff(11887,plain,
% 13.03/9.07 ((~(v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) | (~v122(constB61)) | (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 13.03/9.07 inference(tautology,[status(thm)],[])).
% 13.03/9.07 tff(11888,plain,
% 13.03/9.07 (~v122(constB61)),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11887, 11886, 11884])).
% 13.03/9.07 tff(11889,plain,
% 13.03/9.07 (((~![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)))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11890,plain,
% 13.03/9.07 ((v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1))))) <=> (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11891,plain,
% 13.03/9.07 (((~![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)))))),
% 13.03/9.07 inference(monotonicity,[status(thm)],[11890])).
% 13.03/9.07 tff(11892,plain,
% 13.03/9.07 (((~![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)))))),
% 13.03/9.07 inference(transitivity,[status(thm)],[11891, 11889])).
% 13.03/9.07 tff(11893,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))),
% 13.03/9.07 inference(quant_inst,[status(thm)],[])).
% 13.03/9.07 tff(11894,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 13.03/9.07 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 13.03/9.07 tff(11895,plain,
% 13.03/9.07 (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11894, 1015])).
% 13.03/9.07 tff(11896,plain,
% 13.03/9.07 ((v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2))),
% 13.03/9.07 inference(tautology,[status(thm)],[])).
% 13.03/9.07 tff(11897,plain,
% 13.03/9.07 (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11896, 11727])).
% 13.03/9.07 tff(11898,plain,
% 13.03/9.07 ((~(v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))) | (~v121(constB61)) | (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))),
% 13.03/9.07 inference(tautology,[status(thm)],[])).
% 13.03/9.07 tff(11899,plain,
% 13.03/9.07 (~v121(constB61)),
% 13.03/9.07 inference(unit_resolution,[status(thm)],[11898, 11897, 11895])).
% 13.03/9.07 tff(11900,plain,
% 13.03/9.07 (((~![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))))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11901,plain,
% 13.03/9.07 ((v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0))))) <=> (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.07 inference(rewrite,[status(thm)],[])).
% 13.03/9.07 tff(11902,plain,
% 13.03/9.07 (((~![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))))))),
% 13.03/9.07 inference(monotonicity,[status(thm)],[11901])).
% 13.03/9.07 tff(11903,plain,
% 13.03/9.07 (((~![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))))))),
% 13.03/9.07 inference(transitivity,[status(thm)],[11902, 11900])).
% 13.03/9.07 tff(11904,plain,
% 13.03/9.07 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11905,plain,
% 13.03/9.08 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11904, 11903])).
% 13.03/9.08 tff(11906,plain,
% 13.03/9.08 (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11905, 1132])).
% 13.03/9.08 tff(11907,plain,
% 13.03/9.08 ((v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11908,plain,
% 13.03/9.08 (v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11907, 11727])).
% 13.03/9.08 tff(11909,plain,
% 13.03/9.08 ((~(v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))) | (~v120(constB61)) | (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11910,plain,
% 13.03/9.08 (~v120(constB61)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11909, 11908, 11906])).
% 13.03/9.08 tff(11911,plain,
% 13.03/9.08 (((~![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(constB61) | v120(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))))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11912,plain,
% 13.03/9.08 ((v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) <=> (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11913,plain,
% 13.03/9.08 (((~![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))))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))))),
% 13.03/9.08 inference(monotonicity,[status(thm)],[11912])).
% 13.03/9.08 tff(11914,plain,
% 13.03/9.08 (((~![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))))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 13.03/9.08 inference(transitivity,[status(thm)],[11913, 11911])).
% 13.03/9.08 tff(11915,plain,
% 13.03/9.08 ((~![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))))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11916,plain,
% 13.03/9.08 ((~![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(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 13.03/9.08 tff(11917,plain,
% 13.03/9.08 (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11916, 8006])).
% 13.03/9.08 tff(11918,plain,
% 13.03/9.08 (![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11917, 11910, 11899, 11888, 11877, 11866, 11855])).
% 13.03/9.08 tff(11919,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11920,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b001(bitIndex2)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11921,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b001(bitIndex2))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 13.03/9.08 tff(11922,plain,
% 13.03/9.08 (v130(constB61, bitIndex2) <=> b001(bitIndex2)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11921, 579, 11918])).
% 13.03/9.08 tff(11923,plain,
% 13.03/9.08 ((~(v130(constB61, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB61, bitIndex2)) | b001(bitIndex2)),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11924,plain,
% 13.03/9.08 ((~(v130(constB61, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB61, bitIndex2))),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11923, 1480])).
% 13.03/9.08 tff(11925,plain,
% 13.03/9.08 (~v130(constB61, bitIndex2)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11924, 11922])).
% 13.03/9.08 tff(11926,plain,
% 13.03/9.08 ((~(v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2))) | (~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11927,plain,
% 13.03/9.08 (~v127(constB61, bitIndex2)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11926, 11925, 11849])).
% 13.03/9.08 tff(11928,plain,
% 13.03/9.08 ((~(v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2))) | (~v129(constB62, bitIndex2)) | v127(constB61, bitIndex2)),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11929,plain,
% 13.03/9.08 (~v129(constB62, bitIndex2)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11928, 11927, 11841])).
% 13.03/9.08 tff(11930,plain,
% 13.03/9.08 ((~(v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2)),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11931,plain,
% 13.03/9.08 (~v90(constB62, bitIndex2)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11930, 11929, 11833])).
% 13.03/9.08 tff(11932,plain,
% 13.03/9.08 ((~(v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2))) | (~v90(constB63, bitIndex2)) | v90(constB62, bitIndex2)),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11933,plain,
% 13.03/9.08 (~v90(constB63, bitIndex2)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11932, 11931, 5618])).
% 13.03/9.08 tff(11934,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11935,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11936,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11935, 11934])).
% 13.03/9.08 tff(11937,plain,
% 13.03/9.08 (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11936, 1275, 5614])).
% 13.03/9.08 tff(11938,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11939,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11940,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11939, 11938])).
% 13.03/9.08 tff(11941,plain,
% 13.03/9.08 (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11940, 1275, 11829])).
% 13.03/9.08 tff(11942,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11943,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11944,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 13.03/9.08 tff(11945,plain,
% 13.03/9.08 (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11944, 1275, 11837])).
% 13.03/9.08 tff(11946,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11947,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11948,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11947, 11946])).
% 13.03/9.08 tff(11949,plain,
% 13.03/9.08 (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11948, 1275, 11845])).
% 13.03/9.08 tff(11950,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11951,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b001(bitIndex0)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11952,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b001(bitIndex0))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11951, 11950])).
% 13.03/9.08 tff(11953,plain,
% 13.03/9.08 (v130(constB61, bitIndex0) <=> b001(bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11952, 1275, 11918])).
% 13.03/9.08 tff(11954,plain,
% 13.03/9.08 ((~(v130(constB61, bitIndex0) <=> b001(bitIndex0))) | v130(constB61, bitIndex0) | (~b001(bitIndex0))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11955,plain,
% 13.03/9.08 ((~(v130(constB61, bitIndex0) <=> b001(bitIndex0))) | v130(constB61, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11954, 1514])).
% 13.03/9.08 tff(11956,plain,
% 13.03/9.08 (v130(constB61, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11955, 11953])).
% 13.03/9.08 tff(11957,plain,
% 13.03/9.08 ((~(v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0))) | v127(constB61, bitIndex0) | (~v130(constB61, bitIndex0))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11958,plain,
% 13.03/9.08 (v127(constB61, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11957, 11956, 11949])).
% 13.03/9.08 tff(11959,plain,
% 13.03/9.08 ((~(v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0))) | v129(constB62, bitIndex0) | (~v127(constB61, bitIndex0))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11960,plain,
% 13.03/9.08 (v129(constB62, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11959, 11958, 11945])).
% 13.03/9.08 tff(11961,plain,
% 13.03/9.08 ((~(v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11962,plain,
% 13.03/9.08 (v90(constB62, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11961, 11960, 11941])).
% 13.03/9.08 tff(11963,plain,
% 13.03/9.08 ((~(v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0))) | v90(constB63, bitIndex0) | (~v90(constB62, bitIndex0))),
% 13.03/9.08 inference(tautology,[status(thm)],[])).
% 13.03/9.08 tff(11964,plain,
% 13.03/9.08 (v90(constB63, bitIndex0)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11963, 11962, 11937])).
% 13.03/9.08 tff(11965,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11966,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11967,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1))),
% 13.03/9.08 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 13.03/9.08 tff(11968,plain,
% 13.03/9.08 (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)),
% 13.03/9.08 inference(unit_resolution,[status(thm)],[11967, 1288, 5614])).
% 13.03/9.08 tff(11969,plain,
% 13.03/9.08 (((~![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)))),
% 13.03/9.08 inference(rewrite,[status(thm)],[])).
% 13.03/9.08 tff(11970,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))),
% 13.03/9.08 inference(quant_inst,[status(thm)],[])).
% 13.03/9.08 tff(11971,plain,
% 13.03/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 13.03/9.09 tff(11972,plain,
% 13.03/9.09 (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11971, 1288, 11829])).
% 13.03/9.09 tff(11973,plain,
% 13.03/9.09 (((~![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)))),
% 13.03/9.09 inference(rewrite,[status(thm)],[])).
% 13.03/9.09 tff(11974,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(11975,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[11974, 11973])).
% 13.03/9.09 tff(11976,plain,
% 13.03/9.09 (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11975, 1288, 11837])).
% 13.03/9.09 tff(11977,plain,
% 13.03/9.09 (((~![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)))),
% 13.03/9.09 inference(rewrite,[status(thm)],[])).
% 13.03/9.09 tff(11978,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(11979,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[11978, 11977])).
% 13.03/9.09 tff(11980,plain,
% 13.03/9.09 (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11979, 1288, 11845])).
% 13.03/9.09 tff(11981,plain,
% 13.03/9.09 (((~![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)))),
% 13.03/9.09 inference(rewrite,[status(thm)],[])).
% 13.03/9.09 tff(11982,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b001(bitIndex1)))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(11983,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b001(bitIndex1))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 13.03/9.09 tff(11984,plain,
% 13.03/9.09 (v130(constB61, bitIndex1) <=> b001(bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11983, 1288, 11918])).
% 13.03/9.09 tff(11985,plain,
% 13.03/9.09 ((~(v130(constB61, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB61, bitIndex1)) | b001(bitIndex1)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11986,plain,
% 13.03/9.09 ((~(v130(constB61, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB61, bitIndex1))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11985, 1548])).
% 13.03/9.09 tff(11987,plain,
% 13.03/9.09 (~v130(constB61, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11986, 11984])).
% 13.03/9.09 tff(11988,plain,
% 13.03/9.09 ((~(v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1))) | (~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11989,plain,
% 13.03/9.09 (~v127(constB61, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11988, 11987, 11980])).
% 13.03/9.09 tff(11990,plain,
% 13.03/9.09 ((~(v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1))) | (~v129(constB62, bitIndex1)) | v127(constB61, bitIndex1)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11991,plain,
% 13.03/9.09 (~v129(constB62, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11990, 11989, 11976])).
% 13.03/9.09 tff(11992,plain,
% 13.03/9.09 ((~(v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11993,plain,
% 13.03/9.09 (~v90(constB62, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11992, 11991, 11972])).
% 13.03/9.09 tff(11994,plain,
% 13.03/9.09 ((~(v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1))) | (~v90(constB63, bitIndex1)) | v90(constB62, bitIndex1)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11995,plain,
% 13.03/9.09 (~v90(constB63, bitIndex1)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11994, 11993, 11968])).
% 13.03/9.09 tff(11996,plain,
% 13.03/9.09 ((~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))) | v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11997,plain,
% 13.03/9.09 (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11996, 11995, 11964, 11933])).
% 13.03/9.09 tff(11998,plain,
% 13.03/9.09 ((~(v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))) | v120(constB63) | (v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(11999,plain,
% 13.03/9.09 (v120(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[11998, 11997, 5586])).
% 13.03/9.09 tff(12000,plain,
% 13.03/9.09 ((v119(constB63) | v120(constB63)) | (~v120(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12001,plain,
% 13.03/9.09 (v119(constB63) | v120(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12000, 11999])).
% 13.03/9.09 tff(12002,plain,
% 13.03/9.09 ((~(v118(constB63) <=> (v119(constB63) | v120(constB63)))) | v118(constB63) | (~(v119(constB63) | v120(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12003,plain,
% 13.03/9.09 (v118(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12002, 12001, 5579])).
% 13.03/9.09 tff(12004,plain,
% 13.03/9.09 ((v118(constB63) | v121(constB63)) | (~v118(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12005,plain,
% 13.03/9.09 (v118(constB63) | v121(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12004, 12003])).
% 13.03/9.09 tff(12006,plain,
% 13.03/9.09 ((~(v117(constB63) <=> (v118(constB63) | v121(constB63)))) | v117(constB63) | (~(v118(constB63) | v121(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12007,plain,
% 13.03/9.09 (v117(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12006, 12005, 5577])).
% 13.03/9.09 tff(12008,plain,
% 13.03/9.09 ((v117(constB63) | v122(constB63)) | (~v117(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12009,plain,
% 13.03/9.09 (v117(constB63) | v122(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12008, 12007])).
% 13.03/9.09 tff(12010,plain,
% 13.03/9.09 ((~(v116(constB63) <=> (v117(constB63) | v122(constB63)))) | v116(constB63) | (~(v117(constB63) | v122(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12011,plain,
% 13.03/9.09 (v116(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12010, 12009, 5575])).
% 13.03/9.09 tff(12012,plain,
% 13.03/9.09 ((v116(constB63) | v123(constB63)) | (~v116(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12013,plain,
% 13.03/9.09 (v116(constB63) | v123(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12012, 12011])).
% 13.03/9.09 tff(12014,plain,
% 13.03/9.09 ((~(v115(constB63) <=> (v116(constB63) | v123(constB63)))) | v115(constB63) | (~(v116(constB63) | v123(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12015,plain,
% 13.03/9.09 (v115(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12014, 12013, 5573])).
% 13.03/9.09 tff(12016,plain,
% 13.03/9.09 ((v115(constB63) | v124(constB63)) | (~v115(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12017,plain,
% 13.03/9.09 (v115(constB63) | v124(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12016, 12015])).
% 13.03/9.09 tff(12018,plain,
% 13.03/9.09 ((~(v114(constB63) <=> (v115(constB63) | v124(constB63)))) | v114(constB63) | (~(v115(constB63) | v124(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12019,plain,
% 13.03/9.09 (v114(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12018, 12017, 5571])).
% 13.03/9.09 tff(12020,plain,
% 13.03/9.09 ((v114(constB63) | v125(constB63)) | (~v114(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12021,plain,
% 13.03/9.09 (v114(constB63) | v125(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12020, 12019])).
% 13.03/9.09 tff(12022,plain,
% 13.03/9.09 ((~(v113(constB63) <=> (v114(constB63) | v125(constB63)))) | v113(constB63) | (~(v114(constB63) | v125(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12023,plain,
% 13.03/9.09 (v113(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12022, 12021, 5569])).
% 13.03/9.09 tff(12024,plain,
% 13.03/9.09 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB63)) <=> v111(constB63))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(12025,plain,
% 13.03/9.09 ((~v126(constB63)) <=> v111(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12024, 1345])).
% 13.03/9.09 tff(12026,plain,
% 13.03/9.09 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(12027,plain,
% 13.03/9.09 (v111(constB63) <=> v26(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12026, 1357])).
% 13.03/9.09 tff(12028,plain,
% 13.03/9.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(12029,plain,
% 13.03/9.09 (~v26(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12028, 1369])).
% 13.03/9.09 tff(12030,plain,
% 13.03/9.09 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12031,plain,
% 13.03/9.09 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12030, 12029])).
% 13.03/9.09 tff(12032,plain,
% 13.03/9.09 (~v111(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12031, 12027])).
% 13.03/9.09 tff(12033,plain,
% 13.03/9.09 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63) | v111(constB63)),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12034,plain,
% 13.03/9.09 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12033, 12032])).
% 13.03/9.09 tff(12035,plain,
% 13.03/9.09 (v126(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12034, 12025])).
% 13.03/9.09 tff(12036,plain,
% 13.03/9.09 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63)) | (~v126(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12037,plain,
% 13.03/9.09 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12036, 12035])).
% 13.03/9.09 tff(12038,plain,
% 13.03/9.09 (~((~v113(constB63)) | (~v126(constB63)))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12037, 12023])).
% 13.03/9.09 tff(12039,plain,
% 13.03/9.09 ((~(v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))) | v112(constB63) | ((~v113(constB63)) | (~v126(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12040,plain,
% 13.03/9.09 (v112(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12039, 12038, 5567])).
% 13.03/9.09 tff(12041,plain,
% 13.03/9.09 ((v111(constB63) | v112(constB63)) | (~v112(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12042,plain,
% 13.03/9.09 (v111(constB63) | v112(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12041, 12040])).
% 13.03/9.09 tff(12043,plain,
% 13.03/9.09 ((~(v108(constB63) <=> (v111(constB63) | v112(constB63)))) | v108(constB63) | (~(v111(constB63) | v112(constB63)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12044,plain,
% 13.03/9.09 (v108(constB63)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12043, 12042, 5565])).
% 13.03/9.09 tff(12045,plain,
% 13.03/9.09 ((~(v110(constB64) <=> v108(constB63))) | v110(constB64) | (~v108(constB63))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12046,plain,
% 13.03/9.09 (v110(constB64)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12045, 12044, 5563])).
% 13.03/9.09 tff(12047,plain,
% 13.03/9.09 ((~((~v101(constB64)) | (~v110(constB64)))) | (~v101(constB64)) | (~v110(constB64))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12048,plain,
% 13.03/9.09 (~((~v101(constB64)) | (~v110(constB64)))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12047, 12046, 5559])).
% 13.03/9.09 tff(12049,plain,
% 13.03/9.09 ((~(v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))) | v100(constB64) | ((~v101(constB64)) | (~v110(constB64)))),
% 13.03/9.09 inference(tautology,[status(thm)],[])).
% 13.03/9.09 tff(12050,plain,
% 13.03/9.09 (v100(constB64)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12049, 12048, 5528])).
% 13.03/9.09 tff(12051,plain,
% 13.03/9.09 (((~![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))))),
% 13.03/9.09 inference(rewrite,[status(thm)],[])).
% 13.03/9.09 tff(12052,plain,
% 13.03/9.09 ((~![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))))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(12053,plain,
% 13.03/9.09 ((~![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)))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 13.03/9.09 tff(12054,plain,
% 13.03/9.09 ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12053, 1405])).
% 13.03/9.09 tff(12055,plain,
% 13.03/9.09 (![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12054, 12050])).
% 13.03/9.09 tff(12056,plain,
% 13.03/9.09 (((~![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)))),
% 13.03/9.09 inference(rewrite,[status(thm)],[])).
% 13.03/9.09 tff(12057,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(12058,plain,
% 13.03/9.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[12057, 12056])).
% 13.03/9.09 tff(12059,plain,
% 13.03/9.09 (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12058, 579, 12055])).
% 13.03/9.09 tff(12060,plain,
% 13.03/9.09 (((~![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))))),
% 13.03/9.09 inference(rewrite,[status(thm)],[])).
% 13.03/9.09 tff(12061,plain,
% 13.03/9.09 ((~![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))))),
% 13.03/9.09 inference(quant_inst,[status(thm)],[])).
% 13.03/9.09 tff(12062,plain,
% 13.03/9.09 ((~![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)))),
% 13.03/9.09 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 13.03/9.09 tff(12063,plain,
% 13.03/9.09 (![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))),
% 13.03/9.09 inference(unit_resolution,[status(thm)],[12062, 5524, 1427])).
% 13.03/9.09 tff(12064,plain,
% 13.03/9.09 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12065,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12066,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12065, 12064])).
% 13.03/9.10 tff(12067,plain,
% 13.03/9.10 (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12066, 579, 12063])).
% 13.03/9.10 tff(12068,plain,
% 13.03/9.10 (((~![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))))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12069,plain,
% 13.03/9.10 ((~![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))))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12070,plain,
% 13.03/9.10 ((~![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)))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12069, 12068])).
% 13.03/9.10 tff(12071,plain,
% 13.03/9.10 (![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12070, 1448, 12032])).
% 13.03/9.10 tff(12072,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12073,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12074,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12073, 12072])).
% 13.03/9.10 tff(12075,plain,
% 13.03/9.10 (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12074, 579, 12071])).
% 13.03/9.10 tff(12076,plain,
% 13.03/9.10 (((~![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))))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12077,plain,
% 13.03/9.10 ((~![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))))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12078,plain,
% 13.03/9.10 ((~![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)))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12077, 12076])).
% 13.03/9.10 tff(12079,plain,
% 13.03/9.10 ((~v120(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12078, 1652])).
% 13.03/9.10 tff(12080,plain,
% 13.03/9.10 (![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12079, 11999])).
% 13.03/9.10 tff(12081,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12082,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b010(bitIndex2)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12083,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b010(bitIndex2))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 13.03/9.10 tff(12084,plain,
% 13.03/9.10 (v130(constB63, bitIndex2) <=> b010(bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12083, 579, 12080])).
% 13.03/9.10 tff(12085,plain,
% 13.03/9.10 ((~(v130(constB63, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB63, bitIndex2)) | b010(bitIndex2)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12086,plain,
% 13.03/9.10 ((~(v130(constB63, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB63, bitIndex2))),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12085, 1664])).
% 13.03/9.10 tff(12087,plain,
% 13.03/9.10 (~v130(constB63, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12086, 12084])).
% 13.03/9.10 tff(12088,plain,
% 13.03/9.10 ((~(v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2))) | (~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12089,plain,
% 13.03/9.10 (~v127(constB63, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12088, 12087, 12075])).
% 13.03/9.10 tff(12090,plain,
% 13.03/9.10 ((~(v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2))) | (~v129(constB64, bitIndex2)) | v127(constB63, bitIndex2)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12091,plain,
% 13.03/9.10 (~v129(constB64, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12090, 12089, 12067])).
% 13.03/9.10 tff(12092,plain,
% 13.03/9.10 ((~(v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12093,plain,
% 13.03/9.10 (~v90(constB64, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12092, 12091, 12059])).
% 13.03/9.10 tff(12094,plain,
% 13.03/9.10 ((~(v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2))) | (~v90(constB65, bitIndex2)) | v90(constB64, bitIndex2)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12095,plain,
% 13.03/9.10 (~v90(constB65, bitIndex2)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12094, 12093, 5521])).
% 13.03/9.10 tff(12096,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12097,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12098,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12097, 12096])).
% 13.03/9.10 tff(12099,plain,
% 13.03/9.10 (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12098, 1275, 5517])).
% 13.03/9.10 tff(12100,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12101,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12102,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 13.03/9.10 tff(12103,plain,
% 13.03/9.10 (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12102, 1275, 12055])).
% 13.03/9.10 tff(12104,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12105,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12106,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12105, 12104])).
% 13.03/9.10 tff(12107,plain,
% 13.03/9.10 (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12106, 1275, 12063])).
% 13.03/9.10 tff(12108,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12109,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12110,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12109, 12108])).
% 13.03/9.10 tff(12111,plain,
% 13.03/9.10 (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12110, 1275, 12071])).
% 13.03/9.10 tff(12112,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12113,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b010(bitIndex0)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12114,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b010(bitIndex0))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 13.03/9.10 tff(12115,plain,
% 13.03/9.10 (v130(constB63, bitIndex0) <=> b010(bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12114, 1275, 12080])).
% 13.03/9.10 tff(12116,plain,
% 13.03/9.10 ((~(v130(constB63, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB63, bitIndex0)) | b010(bitIndex0)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12117,plain,
% 13.03/9.10 ((~(v130(constB63, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB63, bitIndex0))),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12116, 1698])).
% 13.03/9.10 tff(12118,plain,
% 13.03/9.10 (~v130(constB63, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12117, 12115])).
% 13.03/9.10 tff(12119,plain,
% 13.03/9.10 ((~(v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0))) | (~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12120,plain,
% 13.03/9.10 (~v127(constB63, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12119, 12118, 12111])).
% 13.03/9.10 tff(12121,plain,
% 13.03/9.10 ((~(v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0))) | (~v129(constB64, bitIndex0)) | v127(constB63, bitIndex0)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12122,plain,
% 13.03/9.10 (~v129(constB64, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12121, 12120, 12107])).
% 13.03/9.10 tff(12123,plain,
% 13.03/9.10 ((~(v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12124,plain,
% 13.03/9.10 (~v90(constB64, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12123, 12122, 12103])).
% 13.03/9.10 tff(12125,plain,
% 13.03/9.10 ((~(v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0))) | (~v90(constB65, bitIndex0)) | v90(constB64, bitIndex0)),
% 13.03/9.10 inference(tautology,[status(thm)],[])).
% 13.03/9.10 tff(12126,plain,
% 13.03/9.10 (~v90(constB65, bitIndex0)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12125, 12124, 12099])).
% 13.03/9.10 tff(12127,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12128,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12129,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 13.03/9.10 tff(12130,plain,
% 13.03/9.10 (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12129, 1288, 5517])).
% 13.03/9.10 tff(12131,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12132,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12133,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 13.03/9.10 tff(12134,plain,
% 13.03/9.10 (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12133, 1288, 12055])).
% 13.03/9.10 tff(12135,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.10 inference(rewrite,[status(thm)],[])).
% 13.03/9.10 tff(12136,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))),
% 13.03/9.10 inference(quant_inst,[status(thm)],[])).
% 13.03/9.10 tff(12137,plain,
% 13.03/9.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1))),
% 13.03/9.10 inference(modus_ponens,[status(thm)],[12136, 12135])).
% 13.03/9.10 tff(12138,plain,
% 13.03/9.10 (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)),
% 13.03/9.10 inference(unit_resolution,[status(thm)],[12137, 1288, 12063])).
% 13.03/9.10 tff(12139,plain,
% 13.03/9.10 (((~![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)))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12140,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12141,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 13.03/9.11 tff(12142,plain,
% 13.03/9.11 (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12141, 1288, 12071])).
% 13.03/9.11 tff(12143,plain,
% 13.03/9.11 (((~![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)))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12144,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b010(bitIndex1)))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12145,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b010(bitIndex1))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 13.03/9.11 tff(12146,plain,
% 13.03/9.11 (v130(constB63, bitIndex1) <=> b010(bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12145, 1288, 12080])).
% 13.03/9.11 tff(12147,plain,
% 13.03/9.11 ((~(v130(constB63, bitIndex1) <=> b010(bitIndex1))) | v130(constB63, bitIndex1) | (~b010(bitIndex1))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12148,plain,
% 13.03/9.11 ((~(v130(constB63, bitIndex1) <=> b010(bitIndex1))) | v130(constB63, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12147, 1732])).
% 13.03/9.11 tff(12149,plain,
% 13.03/9.11 (v130(constB63, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12148, 12146])).
% 13.03/9.11 tff(12150,plain,
% 13.03/9.11 ((~(v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1))) | v127(constB63, bitIndex1) | (~v130(constB63, bitIndex1))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12151,plain,
% 13.03/9.11 (v127(constB63, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12150, 12149, 12142])).
% 13.03/9.11 tff(12152,plain,
% 13.03/9.11 ((~(v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1))) | v129(constB64, bitIndex1) | (~v127(constB63, bitIndex1))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12153,plain,
% 13.03/9.11 (v129(constB64, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12152, 12151, 12138])).
% 13.03/9.11 tff(12154,plain,
% 13.03/9.11 ((~(v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12155,plain,
% 13.03/9.11 (v90(constB64, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12154, 12153, 12134])).
% 13.03/9.11 tff(12156,plain,
% 13.03/9.11 ((~(v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1))) | v90(constB65, bitIndex1) | (~v90(constB64, bitIndex1))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12157,plain,
% 13.03/9.11 (v90(constB65, bitIndex1)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12156, 12155, 12130])).
% 13.03/9.11 tff(12158,plain,
% 13.03/9.11 ((~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12159,plain,
% 13.03/9.11 (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12158, 12157, 12126, 12095])).
% 13.03/9.11 tff(12160,plain,
% 13.03/9.11 ((~(v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) | v121(constB65) | (v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12161,plain,
% 13.03/9.11 (v121(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12160, 12159, 5489])).
% 13.03/9.11 tff(12162,plain,
% 13.03/9.11 ((v118(constB65) | v121(constB65)) | (~v121(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12163,plain,
% 13.03/9.11 (v118(constB65) | v121(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12162, 12161])).
% 13.03/9.11 tff(12164,plain,
% 13.03/9.11 ((~(v117(constB65) <=> (v118(constB65) | v121(constB65)))) | v117(constB65) | (~(v118(constB65) | v121(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12165,plain,
% 13.03/9.11 (v117(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12164, 12163, 5482])).
% 13.03/9.11 tff(12166,plain,
% 13.03/9.11 ((v117(constB65) | v122(constB65)) | (~v117(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12167,plain,
% 13.03/9.11 (v117(constB65) | v122(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12166, 12165])).
% 13.03/9.11 tff(12168,plain,
% 13.03/9.11 ((~(v116(constB65) <=> (v117(constB65) | v122(constB65)))) | v116(constB65) | (~(v117(constB65) | v122(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12169,plain,
% 13.03/9.11 (v116(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12168, 12167, 5480])).
% 13.03/9.11 tff(12170,plain,
% 13.03/9.11 ((v116(constB65) | v123(constB65)) | (~v116(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12171,plain,
% 13.03/9.11 (v116(constB65) | v123(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12170, 12169])).
% 13.03/9.11 tff(12172,plain,
% 13.03/9.11 ((~(v115(constB65) <=> (v116(constB65) | v123(constB65)))) | v115(constB65) | (~(v116(constB65) | v123(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12173,plain,
% 13.03/9.11 (v115(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12172, 12171, 5478])).
% 13.03/9.11 tff(12174,plain,
% 13.03/9.11 ((v115(constB65) | v124(constB65)) | (~v115(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12175,plain,
% 13.03/9.11 (v115(constB65) | v124(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12174, 12173])).
% 13.03/9.11 tff(12176,plain,
% 13.03/9.11 ((~(v114(constB65) <=> (v115(constB65) | v124(constB65)))) | v114(constB65) | (~(v115(constB65) | v124(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12177,plain,
% 13.03/9.11 (v114(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12176, 12175, 5476])).
% 13.03/9.11 tff(12178,plain,
% 13.03/9.11 ((v114(constB65) | v125(constB65)) | (~v114(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12179,plain,
% 13.03/9.11 (v114(constB65) | v125(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12178, 12177])).
% 13.03/9.11 tff(12180,plain,
% 13.03/9.11 ((~(v113(constB65) <=> (v114(constB65) | v125(constB65)))) | v113(constB65) | (~(v114(constB65) | v125(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12181,plain,
% 13.03/9.11 (v113(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12180, 12179, 5474])).
% 13.03/9.11 tff(12182,plain,
% 13.03/9.11 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB65)) <=> v111(constB65))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12183,plain,
% 13.03/9.11 ((~v126(constB65)) <=> v111(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12182, 1345])).
% 13.03/9.11 tff(12184,plain,
% 13.03/9.11 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12185,plain,
% 13.03/9.11 (v111(constB65) <=> v26(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12184, 1357])).
% 13.03/9.11 tff(12186,plain,
% 13.03/9.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12187,plain,
% 13.03/9.11 (~v26(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12186, 1369])).
% 13.03/9.11 tff(12188,plain,
% 13.03/9.11 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12189,plain,
% 13.03/9.11 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12188, 12187])).
% 13.03/9.11 tff(12190,plain,
% 13.03/9.11 (~v111(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12189, 12185])).
% 13.03/9.11 tff(12191,plain,
% 13.03/9.11 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65) | v111(constB65)),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12192,plain,
% 13.03/9.11 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12191, 12190])).
% 13.03/9.11 tff(12193,plain,
% 13.03/9.11 (v126(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12192, 12183])).
% 13.03/9.11 tff(12194,plain,
% 13.03/9.11 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65)) | (~v126(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12195,plain,
% 13.03/9.11 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12194, 12193])).
% 13.03/9.11 tff(12196,plain,
% 13.03/9.11 (~((~v113(constB65)) | (~v126(constB65)))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12195, 12181])).
% 13.03/9.11 tff(12197,plain,
% 13.03/9.11 ((~(v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))) | v112(constB65) | ((~v113(constB65)) | (~v126(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12198,plain,
% 13.03/9.11 (v112(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12197, 12196, 5472])).
% 13.03/9.11 tff(12199,plain,
% 13.03/9.11 ((v111(constB65) | v112(constB65)) | (~v112(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12200,plain,
% 13.03/9.11 (v111(constB65) | v112(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12199, 12198])).
% 13.03/9.11 tff(12201,plain,
% 13.03/9.11 ((~(v108(constB65) <=> (v111(constB65) | v112(constB65)))) | v108(constB65) | (~(v111(constB65) | v112(constB65)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12202,plain,
% 13.03/9.11 (v108(constB65)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12201, 12200, 5470])).
% 13.03/9.11 tff(12203,plain,
% 13.03/9.11 ((~(v110(constB66) <=> v108(constB65))) | v110(constB66) | (~v108(constB65))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12204,plain,
% 13.03/9.11 (v110(constB66)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12203, 12202, 5468])).
% 13.03/9.11 tff(12205,plain,
% 13.03/9.11 ((~((~v101(constB66)) | (~v110(constB66)))) | (~v101(constB66)) | (~v110(constB66))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12206,plain,
% 13.03/9.11 (~((~v101(constB66)) | (~v110(constB66)))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12205, 12204, 5464])).
% 13.03/9.11 tff(12207,plain,
% 13.03/9.11 ((~(v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))) | v100(constB66) | ((~v101(constB66)) | (~v110(constB66)))),
% 13.03/9.11 inference(tautology,[status(thm)],[])).
% 13.03/9.11 tff(12208,plain,
% 13.03/9.11 (v100(constB66)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12207, 12206, 5433])).
% 13.03/9.11 tff(12209,plain,
% 13.03/9.11 (((~![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))))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12210,plain,
% 13.03/9.11 ((~![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))))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12211,plain,
% 13.03/9.11 ((~![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)))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 13.03/9.11 tff(12212,plain,
% 13.03/9.11 ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12211, 1405])).
% 13.03/9.11 tff(12213,plain,
% 13.03/9.11 (![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12212, 12208])).
% 13.03/9.11 tff(12214,plain,
% 13.03/9.11 (((~![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)))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12215,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12216,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 13.03/9.11 tff(12217,plain,
% 13.03/9.11 (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12216, 579, 12213])).
% 13.03/9.11 tff(12218,plain,
% 13.03/9.11 (((~![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))))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12219,plain,
% 13.03/9.11 ((~![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))))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12220,plain,
% 13.03/9.11 ((~![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)))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 13.03/9.11 tff(12221,plain,
% 13.03/9.11 (![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12220, 5429, 1427])).
% 13.03/9.11 tff(12222,plain,
% 13.03/9.11 (((~![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)))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12223,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12224,plain,
% 13.03/9.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 13.03/9.11 tff(12225,plain,
% 13.03/9.11 (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)),
% 13.03/9.11 inference(unit_resolution,[status(thm)],[12224, 579, 12221])).
% 13.03/9.11 tff(12226,plain,
% 13.03/9.11 (((~![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))))),
% 13.03/9.11 inference(rewrite,[status(thm)],[])).
% 13.03/9.11 tff(12227,plain,
% 13.03/9.11 ((~![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))))),
% 13.03/9.11 inference(quant_inst,[status(thm)],[])).
% 13.03/9.11 tff(12228,plain,
% 13.03/9.11 ((~![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)))),
% 13.03/9.11 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 13.03/9.11 tff(12229,plain,
% 13.03/9.12 (![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12228, 1448, 12190])).
% 13.03/9.12 tff(12230,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12231,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12232,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12231, 12230])).
% 13.03/9.12 tff(12233,plain,
% 13.03/9.12 (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12232, 579, 12229])).
% 13.03/9.12 tff(12234,plain,
% 13.03/9.12 (((~![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))))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12235,plain,
% 13.03/9.12 ((~![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))))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12236,plain,
% 13.03/9.12 ((~![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)))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 13.03/9.12 tff(12237,plain,
% 13.03/9.12 ((~v121(constB65)) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12236, 1832])).
% 13.03/9.12 tff(12238,plain,
% 13.03/9.12 (![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12237, 12161])).
% 13.03/9.12 tff(12239,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12240,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b011(bitIndex2)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12241,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b011(bitIndex2))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 13.03/9.12 tff(12242,plain,
% 13.03/9.12 (v130(constB65, bitIndex2) <=> b011(bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12241, 579, 12238])).
% 13.03/9.12 tff(12243,plain,
% 13.03/9.12 ((~(v130(constB65, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB65, bitIndex2)) | b011(bitIndex2)),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12244,plain,
% 13.03/9.12 ((~(v130(constB65, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB65, bitIndex2))),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12243, 1844])).
% 13.03/9.12 tff(12245,plain,
% 13.03/9.12 (~v130(constB65, bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12244, 12242])).
% 13.03/9.12 tff(12246,plain,
% 13.03/9.12 ((~(v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2))) | (~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12247,plain,
% 13.03/9.12 (~v127(constB65, bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12246, 12245, 12233])).
% 13.03/9.12 tff(12248,plain,
% 13.03/9.12 ((~(v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2))) | (~v129(constB66, bitIndex2)) | v127(constB65, bitIndex2)),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12249,plain,
% 13.03/9.12 (~v129(constB66, bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12248, 12247, 12225])).
% 13.03/9.12 tff(12250,plain,
% 13.03/9.12 ((~(v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12251,plain,
% 13.03/9.12 (~v90(constB66, bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12250, 12249, 12217])).
% 13.03/9.12 tff(12252,plain,
% 13.03/9.12 ((~(v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2))) | (~v90(constB67, bitIndex2)) | v90(constB66, bitIndex2)),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12253,plain,
% 13.03/9.12 (~v90(constB67, bitIndex2)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12252, 12251, 5426])).
% 13.03/9.12 tff(12254,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12255,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12256,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 13.03/9.12 tff(12257,plain,
% 13.03/9.12 (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12256, 1275, 5422])).
% 13.03/9.12 tff(12258,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12259,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12260,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 13.03/9.12 tff(12261,plain,
% 13.03/9.12 (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12260, 1275, 12213])).
% 13.03/9.12 tff(12262,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12263,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12264,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 13.03/9.12 tff(12265,plain,
% 13.03/9.12 (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12264, 1275, 12221])).
% 13.03/9.12 tff(12266,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12267,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12268,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 13.03/9.12 tff(12269,plain,
% 13.03/9.12 (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12268, 1275, 12229])).
% 13.03/9.12 tff(12270,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12271,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b011(bitIndex0)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12272,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b011(bitIndex0))),
% 13.03/9.12 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 13.03/9.12 tff(12273,plain,
% 13.03/9.12 (v130(constB65, bitIndex0) <=> b011(bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12272, 1275, 12238])).
% 13.03/9.12 tff(12274,plain,
% 13.03/9.12 ((~(v130(constB65, bitIndex0) <=> b011(bitIndex0))) | v130(constB65, bitIndex0) | (~b011(bitIndex0))),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12275,plain,
% 13.03/9.12 ((~(v130(constB65, bitIndex0) <=> b011(bitIndex0))) | v130(constB65, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12274, 1878])).
% 13.03/9.12 tff(12276,plain,
% 13.03/9.12 (v130(constB65, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12275, 12273])).
% 13.03/9.12 tff(12277,plain,
% 13.03/9.12 ((~(v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0))) | v127(constB65, bitIndex0) | (~v130(constB65, bitIndex0))),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12278,plain,
% 13.03/9.12 (v127(constB65, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12277, 12276, 12269])).
% 13.03/9.12 tff(12279,plain,
% 13.03/9.12 ((~(v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0))) | v129(constB66, bitIndex0) | (~v127(constB65, bitIndex0))),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12280,plain,
% 13.03/9.12 (v129(constB66, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12279, 12278, 12265])).
% 13.03/9.12 tff(12281,plain,
% 13.03/9.12 ((~(v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12282,plain,
% 13.03/9.12 (v90(constB66, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12281, 12280, 12261])).
% 13.03/9.12 tff(12283,plain,
% 13.03/9.12 ((~(v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0))) | v90(constB67, bitIndex0) | (~v90(constB66, bitIndex0))),
% 13.03/9.12 inference(tautology,[status(thm)],[])).
% 13.03/9.12 tff(12284,plain,
% 13.03/9.12 (v90(constB67, bitIndex0)),
% 13.03/9.12 inference(unit_resolution,[status(thm)],[12283, 12282, 12257])).
% 13.03/9.12 tff(12285,plain,
% 13.03/9.12 (((~![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)))),
% 13.03/9.12 inference(rewrite,[status(thm)],[])).
% 13.03/9.12 tff(12286,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))),
% 13.03/9.12 inference(quant_inst,[status(thm)],[])).
% 13.03/9.12 tff(12287,plain,
% 13.03/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12286, 12285])).
% 13.03/9.13 tff(12288,plain,
% 13.03/9.13 (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12287, 1288, 5422])).
% 13.03/9.13 tff(12289,plain,
% 13.03/9.13 (((~![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)))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12290,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12291,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 13.03/9.13 tff(12292,plain,
% 13.03/9.13 (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12291, 1288, 12213])).
% 13.03/9.13 tff(12293,plain,
% 13.03/9.13 (((~![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)))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12294,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12295,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 13.03/9.13 tff(12296,plain,
% 13.03/9.13 (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12295, 1288, 12221])).
% 13.03/9.13 tff(12297,plain,
% 13.03/9.13 (((~![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)))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12298,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12299,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12298, 12297])).
% 13.03/9.13 tff(12300,plain,
% 13.03/9.13 (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12299, 1288, 12229])).
% 13.03/9.13 tff(12301,plain,
% 13.03/9.13 (((~![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)))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12302,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b011(bitIndex1)))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12303,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b011(bitIndex1))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 13.03/9.13 tff(12304,plain,
% 13.03/9.13 (v130(constB65, bitIndex1) <=> b011(bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12303, 1288, 12238])).
% 13.03/9.13 tff(12305,plain,
% 13.03/9.13 ((~(v130(constB65, bitIndex1) <=> b011(bitIndex1))) | v130(constB65, bitIndex1) | (~b011(bitIndex1))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12306,plain,
% 13.03/9.13 ((~(v130(constB65, bitIndex1) <=> b011(bitIndex1))) | v130(constB65, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12305, 1912])).
% 13.03/9.13 tff(12307,plain,
% 13.03/9.13 (v130(constB65, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12306, 12304])).
% 13.03/9.13 tff(12308,plain,
% 13.03/9.13 ((~(v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1))) | v127(constB65, bitIndex1) | (~v130(constB65, bitIndex1))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12309,plain,
% 13.03/9.13 (v127(constB65, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12308, 12307, 12300])).
% 13.03/9.13 tff(12310,plain,
% 13.03/9.13 ((~(v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1))) | v129(constB66, bitIndex1) | (~v127(constB65, bitIndex1))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12311,plain,
% 13.03/9.13 (v129(constB66, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12310, 12309, 12296])).
% 13.03/9.13 tff(12312,plain,
% 13.03/9.13 ((~(v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12313,plain,
% 13.03/9.13 (v90(constB66, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12312, 12311, 12292])).
% 13.03/9.13 tff(12314,plain,
% 13.03/9.13 ((~(v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1))) | v90(constB67, bitIndex1) | (~v90(constB66, bitIndex1))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12315,plain,
% 13.03/9.13 (v90(constB67, bitIndex1)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12314, 12313, 12288])).
% 13.03/9.13 tff(12316,plain,
% 13.03/9.13 ((~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12317,plain,
% 13.03/9.13 (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12316, 12315, 12284, 12253])).
% 13.03/9.13 tff(12318,plain,
% 13.03/9.13 ((~(v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))) | v122(constB67) | (v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12319,plain,
% 13.03/9.13 (v122(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12318, 12317, 5394])).
% 13.03/9.13 tff(12320,plain,
% 13.03/9.13 ((v117(constB67) | v122(constB67)) | (~v122(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12321,plain,
% 13.03/9.13 (v117(constB67) | v122(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12320, 12319])).
% 13.03/9.13 tff(12322,plain,
% 13.03/9.13 ((~(v116(constB67) <=> (v117(constB67) | v122(constB67)))) | v116(constB67) | (~(v117(constB67) | v122(constB67)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12323,plain,
% 13.03/9.13 (v116(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12322, 12321, 5387])).
% 13.03/9.13 tff(12324,plain,
% 13.03/9.13 ((v116(constB67) | v123(constB67)) | (~v116(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12325,plain,
% 13.03/9.13 (v116(constB67) | v123(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12324, 12323])).
% 13.03/9.13 tff(12326,plain,
% 13.03/9.13 ((~(v115(constB67) <=> (v116(constB67) | v123(constB67)))) | v115(constB67) | (~(v116(constB67) | v123(constB67)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12327,plain,
% 13.03/9.13 (v115(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12326, 12325, 5385])).
% 13.03/9.13 tff(12328,plain,
% 13.03/9.13 ((v115(constB67) | v124(constB67)) | (~v115(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12329,plain,
% 13.03/9.13 (v115(constB67) | v124(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12328, 12327])).
% 13.03/9.13 tff(12330,plain,
% 13.03/9.13 ((~(v114(constB67) <=> (v115(constB67) | v124(constB67)))) | v114(constB67) | (~(v115(constB67) | v124(constB67)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12331,plain,
% 13.03/9.13 (v114(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12330, 12329, 5383])).
% 13.03/9.13 tff(12332,plain,
% 13.03/9.13 ((v114(constB67) | v125(constB67)) | (~v114(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12333,plain,
% 13.03/9.13 (v114(constB67) | v125(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12332, 12331])).
% 13.03/9.13 tff(12334,plain,
% 13.03/9.13 ((~(v113(constB67) <=> (v114(constB67) | v125(constB67)))) | v113(constB67) | (~(v114(constB67) | v125(constB67)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12335,plain,
% 13.03/9.13 (v113(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12334, 12333, 5381])).
% 13.03/9.13 tff(12336,plain,
% 13.03/9.13 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB67)) <=> v111(constB67))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12337,plain,
% 13.03/9.13 ((~v126(constB67)) <=> v111(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12336, 1345])).
% 13.03/9.13 tff(12338,plain,
% 13.03/9.13 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12339,plain,
% 13.03/9.13 (v111(constB67) <=> v26(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12338, 1357])).
% 13.03/9.13 tff(12340,plain,
% 13.03/9.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12341,plain,
% 13.03/9.13 (~v26(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12340, 1369])).
% 13.03/9.13 tff(12342,plain,
% 13.03/9.13 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12343,plain,
% 13.03/9.13 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12342, 12341])).
% 13.03/9.13 tff(12344,plain,
% 13.03/9.13 (~v111(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12343, 12339])).
% 13.03/9.13 tff(12345,plain,
% 13.03/9.13 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67) | v111(constB67)),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12346,plain,
% 13.03/9.13 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12345, 12344])).
% 13.03/9.13 tff(12347,plain,
% 13.03/9.13 (v126(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12346, 12337])).
% 13.03/9.13 tff(12348,plain,
% 13.03/9.13 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67)) | (~v126(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12349,plain,
% 13.03/9.13 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12348, 12347])).
% 13.03/9.13 tff(12350,plain,
% 13.03/9.13 (~((~v113(constB67)) | (~v126(constB67)))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12349, 12335])).
% 13.03/9.13 tff(12351,plain,
% 13.03/9.13 ((~(v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))) | v112(constB67) | ((~v113(constB67)) | (~v126(constB67)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12352,plain,
% 13.03/9.13 (v112(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12351, 12350, 5379])).
% 13.03/9.13 tff(12353,plain,
% 13.03/9.13 ((v111(constB67) | v112(constB67)) | (~v112(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12354,plain,
% 13.03/9.13 (v111(constB67) | v112(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12353, 12352])).
% 13.03/9.13 tff(12355,plain,
% 13.03/9.13 ((~(v108(constB67) <=> (v111(constB67) | v112(constB67)))) | v108(constB67) | (~(v111(constB67) | v112(constB67)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12356,plain,
% 13.03/9.13 (v108(constB67)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12355, 12354, 5377])).
% 13.03/9.13 tff(12357,plain,
% 13.03/9.13 ((~(v110(constB68) <=> v108(constB67))) | v110(constB68) | (~v108(constB67))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12358,plain,
% 13.03/9.13 (v110(constB68)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12357, 12356, 5375])).
% 13.03/9.13 tff(12359,plain,
% 13.03/9.13 ((~((~v101(constB68)) | (~v110(constB68)))) | (~v101(constB68)) | (~v110(constB68))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12360,plain,
% 13.03/9.13 (~((~v101(constB68)) | (~v110(constB68)))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12359, 12358, 5371])).
% 13.03/9.13 tff(12361,plain,
% 13.03/9.13 ((~(v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))) | v100(constB68) | ((~v101(constB68)) | (~v110(constB68)))),
% 13.03/9.13 inference(tautology,[status(thm)],[])).
% 13.03/9.13 tff(12362,plain,
% 13.03/9.13 (v100(constB68)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12361, 12360, 5340])).
% 13.03/9.13 tff(12363,plain,
% 13.03/9.13 (((~![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))))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12364,plain,
% 13.03/9.13 ((~![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))))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12365,plain,
% 13.03/9.13 ((~![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)))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 13.03/9.13 tff(12366,plain,
% 13.03/9.13 ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12365, 1405])).
% 13.03/9.13 tff(12367,plain,
% 13.03/9.13 (![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12366, 12362])).
% 13.03/9.13 tff(12368,plain,
% 13.03/9.13 (((~![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)))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12369,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12370,plain,
% 13.03/9.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 13.03/9.13 tff(12371,plain,
% 13.03/9.13 (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12370, 579, 12367])).
% 13.03/9.13 tff(12372,plain,
% 13.03/9.13 (((~![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))))),
% 13.03/9.13 inference(rewrite,[status(thm)],[])).
% 13.03/9.13 tff(12373,plain,
% 13.03/9.13 ((~![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))))),
% 13.03/9.13 inference(quant_inst,[status(thm)],[])).
% 13.03/9.13 tff(12374,plain,
% 13.03/9.13 ((~![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)))),
% 13.03/9.13 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 13.03/9.13 tff(12375,plain,
% 13.03/9.13 (![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))),
% 13.03/9.13 inference(unit_resolution,[status(thm)],[12374, 5336, 1427])).
% 13.03/9.13 tff(12376,plain,
% 13.03/9.13 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12377,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12378,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12377, 12376])).
% 13.03/9.14 tff(12379,plain,
% 13.03/9.14 (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12378, 579, 12375])).
% 13.03/9.14 tff(12380,plain,
% 13.03/9.14 (((~![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))))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12381,plain,
% 13.03/9.14 ((~![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))))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12382,plain,
% 13.03/9.14 ((~![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)))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 13.03/9.14 tff(12383,plain,
% 13.03/9.14 (![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12382, 1448, 12344])).
% 13.03/9.14 tff(12384,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12385,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12386,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 13.03/9.14 tff(12387,plain,
% 13.03/9.14 (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12386, 579, 12383])).
% 13.03/9.14 tff(12388,plain,
% 13.03/9.14 (((~![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))))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12389,plain,
% 13.03/9.14 ((~![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))))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12390,plain,
% 13.03/9.14 ((~![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)))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 13.03/9.14 tff(12391,plain,
% 13.03/9.14 ((~v122(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12390, 2008])).
% 13.03/9.14 tff(12392,plain,
% 13.03/9.14 (![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12391, 12319])).
% 13.03/9.14 tff(12393,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12394,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b100(bitIndex2)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12395,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b100(bitIndex2))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 13.03/9.14 tff(12396,plain,
% 13.03/9.14 (v130(constB67, bitIndex2) <=> b100(bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12395, 579, 12392])).
% 13.03/9.14 tff(12397,plain,
% 13.03/9.14 ((~(v130(constB67, bitIndex2) <=> b100(bitIndex2))) | v130(constB67, bitIndex2) | (~b100(bitIndex2))),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12398,plain,
% 13.03/9.14 ((~(v130(constB67, bitIndex2) <=> b100(bitIndex2))) | v130(constB67, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12397, 2020])).
% 13.03/9.14 tff(12399,plain,
% 13.03/9.14 (v130(constB67, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12398, 12396])).
% 13.03/9.14 tff(12400,plain,
% 13.03/9.14 ((~(v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2))) | v127(constB67, bitIndex2) | (~v130(constB67, bitIndex2))),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12401,plain,
% 13.03/9.14 (v127(constB67, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12400, 12399, 12387])).
% 13.03/9.14 tff(12402,plain,
% 13.03/9.14 ((~(v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2))) | v129(constB68, bitIndex2) | (~v127(constB67, bitIndex2))),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12403,plain,
% 13.03/9.14 (v129(constB68, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12402, 12401, 12379])).
% 13.03/9.14 tff(12404,plain,
% 13.03/9.14 ((~(v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2))),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12405,plain,
% 13.03/9.14 (v90(constB68, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12404, 12403, 12371])).
% 13.03/9.14 tff(12406,plain,
% 13.03/9.14 ((~(v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2))) | v90(constB69, bitIndex2) | (~v90(constB68, bitIndex2))),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12407,plain,
% 13.03/9.14 (v90(constB69, bitIndex2)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12406, 12405, 5333])).
% 13.03/9.14 tff(12408,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12409,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12410,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12409, 12408])).
% 13.03/9.14 tff(12411,plain,
% 13.03/9.14 (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12410, 1275, 5329])).
% 13.03/9.14 tff(12412,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12413,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12414,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12413, 12412])).
% 13.03/9.14 tff(12415,plain,
% 13.03/9.14 (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12414, 1275, 12367])).
% 13.03/9.14 tff(12416,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12417,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12418,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 13.03/9.14 tff(12419,plain,
% 13.03/9.14 (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12418, 1275, 12375])).
% 13.03/9.14 tff(12420,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12421,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12422,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12421, 12420])).
% 13.03/9.14 tff(12423,plain,
% 13.03/9.14 (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12422, 1275, 12383])).
% 13.03/9.14 tff(12424,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12425,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b100(bitIndex0)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12426,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b100(bitIndex0))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 13.03/9.14 tff(12427,plain,
% 13.03/9.14 (v130(constB67, bitIndex0) <=> b100(bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12426, 1275, 12392])).
% 13.03/9.14 tff(12428,plain,
% 13.03/9.14 ((~(v130(constB67, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB67, bitIndex0)) | b100(bitIndex0)),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12429,plain,
% 13.03/9.14 ((~(v130(constB67, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB67, bitIndex0))),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12428, 2054])).
% 13.03/9.14 tff(12430,plain,
% 13.03/9.14 (~v130(constB67, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12429, 12427])).
% 13.03/9.14 tff(12431,plain,
% 13.03/9.14 ((~(v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0))) | (~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12432,plain,
% 13.03/9.14 (~v127(constB67, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12431, 12430, 12423])).
% 13.03/9.14 tff(12433,plain,
% 13.03/9.14 ((~(v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0))) | (~v129(constB68, bitIndex0)) | v127(constB67, bitIndex0)),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12434,plain,
% 13.03/9.14 (~v129(constB68, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12433, 12432, 12419])).
% 13.03/9.14 tff(12435,plain,
% 13.03/9.14 ((~(v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0)),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12436,plain,
% 13.03/9.14 (~v90(constB68, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12435, 12434, 12415])).
% 13.03/9.14 tff(12437,plain,
% 13.03/9.14 ((~(v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0))) | (~v90(constB69, bitIndex0)) | v90(constB68, bitIndex0)),
% 13.03/9.14 inference(tautology,[status(thm)],[])).
% 13.03/9.14 tff(12438,plain,
% 13.03/9.14 (~v90(constB69, bitIndex0)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12437, 12436, 12411])).
% 13.03/9.14 tff(12439,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12440,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12441,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 13.03/9.14 tff(12442,plain,
% 13.03/9.14 (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12441, 1288, 5329])).
% 13.03/9.14 tff(12443,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12444,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12445,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12444, 12443])).
% 13.03/9.14 tff(12446,plain,
% 13.03/9.14 (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12445, 1288, 12367])).
% 13.03/9.14 tff(12447,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.14 inference(rewrite,[status(thm)],[])).
% 13.03/9.14 tff(12448,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))),
% 13.03/9.14 inference(quant_inst,[status(thm)],[])).
% 13.03/9.14 tff(12449,plain,
% 13.03/9.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1))),
% 13.03/9.14 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 13.03/9.14 tff(12450,plain,
% 13.03/9.14 (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)),
% 13.03/9.14 inference(unit_resolution,[status(thm)],[12449, 1288, 12375])).
% 13.03/9.14 tff(12451,plain,
% 13.03/9.14 (((~![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)))),
% 13.03/9.15 inference(rewrite,[status(thm)],[])).
% 13.03/9.15 tff(12452,plain,
% 13.03/9.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12453,plain,
% 13.03/9.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1))),
% 13.03/9.15 inference(modus_ponens,[status(thm)],[12452, 12451])).
% 13.03/9.15 tff(12454,plain,
% 13.03/9.15 (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12453, 1288, 12383])).
% 13.03/9.15 tff(12455,plain,
% 13.03/9.15 (((~![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)))),
% 13.03/9.15 inference(rewrite,[status(thm)],[])).
% 13.03/9.15 tff(12456,plain,
% 13.03/9.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b100(bitIndex1)))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12457,plain,
% 13.03/9.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b100(bitIndex1))),
% 13.03/9.15 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 13.03/9.15 tff(12458,plain,
% 13.03/9.15 (v130(constB67, bitIndex1) <=> b100(bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12457, 1288, 12392])).
% 13.03/9.15 tff(12459,plain,
% 13.03/9.15 ((~(v130(constB67, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB67, bitIndex1)) | b100(bitIndex1)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12460,plain,
% 13.03/9.15 ((~(v130(constB67, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB67, bitIndex1))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12459, 2088])).
% 13.03/9.15 tff(12461,plain,
% 13.03/9.15 (~v130(constB67, bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12460, 12458])).
% 13.03/9.15 tff(12462,plain,
% 13.03/9.15 ((~(v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1))) | (~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12463,plain,
% 13.03/9.15 (~v127(constB67, bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12462, 12461, 12454])).
% 13.03/9.15 tff(12464,plain,
% 13.03/9.15 ((~(v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1))) | (~v129(constB68, bitIndex1)) | v127(constB67, bitIndex1)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12465,plain,
% 13.03/9.15 (~v129(constB68, bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12464, 12463, 12450])).
% 13.03/9.15 tff(12466,plain,
% 13.03/9.15 ((~(v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12467,plain,
% 13.03/9.15 (~v90(constB68, bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12466, 12465, 12446])).
% 13.03/9.15 tff(12468,plain,
% 13.03/9.15 ((~(v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1))) | (~v90(constB69, bitIndex1)) | v90(constB68, bitIndex1)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12469,plain,
% 13.03/9.15 (~v90(constB69, bitIndex1)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12468, 12467, 12442])).
% 13.03/9.15 tff(12470,plain,
% 13.03/9.15 ((~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))) | (~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12471,plain,
% 13.03/9.15 (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12470, 12469, 12438, 12407])).
% 13.03/9.15 tff(12472,plain,
% 13.03/9.15 ((~(v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))) | v123(constB69) | ((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12473,plain,
% 13.03/9.15 (v123(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12472, 12471, 5301])).
% 13.03/9.15 tff(12474,plain,
% 13.03/9.15 ((v116(constB69) | v123(constB69)) | (~v123(constB69))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12475,plain,
% 13.03/9.15 (v116(constB69) | v123(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12474, 12473])).
% 13.03/9.15 tff(12476,plain,
% 13.03/9.15 ((~(v115(constB69) <=> (v116(constB69) | v123(constB69)))) | v115(constB69) | (~(v116(constB69) | v123(constB69)))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12477,plain,
% 13.03/9.15 (v115(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12476, 12475, 5294])).
% 13.03/9.15 tff(12478,plain,
% 13.03/9.15 ((v115(constB69) | v124(constB69)) | (~v115(constB69))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12479,plain,
% 13.03/9.15 (v115(constB69) | v124(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12478, 12477])).
% 13.03/9.15 tff(12480,plain,
% 13.03/9.15 ((~(v114(constB69) <=> (v115(constB69) | v124(constB69)))) | v114(constB69) | (~(v115(constB69) | v124(constB69)))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12481,plain,
% 13.03/9.15 (v114(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12480, 12479, 5292])).
% 13.03/9.15 tff(12482,plain,
% 13.03/9.15 ((v114(constB69) | v125(constB69)) | (~v114(constB69))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12483,plain,
% 13.03/9.15 (v114(constB69) | v125(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12482, 12481])).
% 13.03/9.15 tff(12484,plain,
% 13.03/9.15 ((~(v113(constB69) <=> (v114(constB69) | v125(constB69)))) | v113(constB69) | (~(v114(constB69) | v125(constB69)))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12485,plain,
% 13.03/9.15 (v113(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12484, 12483, 5290])).
% 13.03/9.15 tff(12486,plain,
% 13.03/9.15 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB69)) <=> v111(constB69))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12487,plain,
% 13.03/9.15 ((~v126(constB69)) <=> v111(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12486, 1345])).
% 13.03/9.15 tff(12488,plain,
% 13.03/9.15 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12489,plain,
% 13.03/9.15 (v111(constB69) <=> v26(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12488, 1357])).
% 13.03/9.15 tff(12490,plain,
% 13.03/9.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12491,plain,
% 13.03/9.15 (~v26(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12490, 1369])).
% 13.03/9.15 tff(12492,plain,
% 13.03/9.15 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12493,plain,
% 13.03/9.15 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12492, 12491])).
% 13.03/9.15 tff(12494,plain,
% 13.03/9.15 (~v111(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12493, 12489])).
% 13.03/9.15 tff(12495,plain,
% 13.03/9.15 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69) | v111(constB69)),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12496,plain,
% 13.03/9.15 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12495, 12494])).
% 13.03/9.15 tff(12497,plain,
% 13.03/9.15 (v126(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12496, 12487])).
% 13.03/9.15 tff(12498,plain,
% 13.03/9.15 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69)) | (~v126(constB69))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12499,plain,
% 13.03/9.15 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12498, 12497])).
% 13.03/9.15 tff(12500,plain,
% 13.03/9.15 (~((~v113(constB69)) | (~v126(constB69)))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12499, 12485])).
% 13.03/9.15 tff(12501,plain,
% 13.03/9.15 ((~(v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))) | v112(constB69) | ((~v113(constB69)) | (~v126(constB69)))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12502,plain,
% 13.03/9.15 (v112(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12501, 12500, 5288])).
% 13.03/9.15 tff(12503,plain,
% 13.03/9.15 ((v111(constB69) | v112(constB69)) | (~v112(constB69))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12504,plain,
% 13.03/9.15 (v111(constB69) | v112(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12503, 12502])).
% 13.03/9.15 tff(12505,plain,
% 13.03/9.15 ((~(v108(constB69) <=> (v111(constB69) | v112(constB69)))) | v108(constB69) | (~(v111(constB69) | v112(constB69)))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12506,plain,
% 13.03/9.15 (v108(constB69)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12505, 12504, 5286])).
% 13.03/9.15 tff(12507,plain,
% 13.03/9.15 ((~(v110(constB70) <=> v108(constB69))) | v110(constB70) | (~v108(constB69))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12508,plain,
% 13.03/9.15 (v110(constB70)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12507, 12506, 5284])).
% 13.03/9.15 tff(12509,plain,
% 13.03/9.15 ((~((~v101(constB70)) | (~v110(constB70)))) | (~v101(constB70)) | (~v110(constB70))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12510,plain,
% 13.03/9.15 (~((~v101(constB70)) | (~v110(constB70)))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12509, 12508, 5280])).
% 13.03/9.15 tff(12511,plain,
% 13.03/9.15 ((~(v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))) | v100(constB70) | ((~v101(constB70)) | (~v110(constB70)))),
% 13.03/9.15 inference(tautology,[status(thm)],[])).
% 13.03/9.15 tff(12512,plain,
% 13.03/9.15 (v100(constB70)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12511, 12510, 5249])).
% 13.03/9.15 tff(12513,plain,
% 13.03/9.15 (((~![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))))),
% 13.03/9.15 inference(rewrite,[status(thm)],[])).
% 13.03/9.15 tff(12514,plain,
% 13.03/9.15 ((~![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))))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12515,plain,
% 13.03/9.15 ((~![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)))),
% 13.03/9.15 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 13.03/9.15 tff(12516,plain,
% 13.03/9.15 ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12515, 1405])).
% 13.03/9.15 tff(12517,plain,
% 13.03/9.15 (![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12516, 12512])).
% 13.03/9.15 tff(12518,plain,
% 13.03/9.15 (((~![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)))),
% 13.03/9.15 inference(rewrite,[status(thm)],[])).
% 13.03/9.15 tff(12519,plain,
% 13.03/9.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))),
% 13.03/9.15 inference(quant_inst,[status(thm)],[])).
% 13.03/9.15 tff(12520,plain,
% 13.03/9.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2))),
% 13.03/9.15 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 13.03/9.15 tff(12521,plain,
% 13.03/9.15 (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)),
% 13.03/9.15 inference(unit_resolution,[status(thm)],[12520, 579, 12517])).
% 13.03/9.15 tff(12522,plain,
% 13.03/9.15 (((~![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))))),
% 13.13/9.15 inference(rewrite,[status(thm)],[])).
% 13.13/9.15 tff(12523,plain,
% 13.13/9.15 ((~![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))))),
% 13.13/9.15 inference(quant_inst,[status(thm)],[])).
% 13.13/9.15 tff(12524,plain,
% 13.13/9.15 ((~![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)))),
% 13.13/9.15 inference(modus_ponens,[status(thm)],[12523, 12522])).
% 13.13/9.15 tff(12525,plain,
% 13.13/9.15 (![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))),
% 13.13/9.15 inference(unit_resolution,[status(thm)],[12524, 5245, 1427])).
% 13.13/9.15 tff(12526,plain,
% 13.13/9.15 (((~![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)))),
% 13.13/9.15 inference(rewrite,[status(thm)],[])).
% 13.13/9.15 tff(12527,plain,
% 13.13/9.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))),
% 13.13/9.15 inference(quant_inst,[status(thm)],[])).
% 13.13/9.15 tff(12528,plain,
% 13.13/9.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2))),
% 13.13/9.15 inference(modus_ponens,[status(thm)],[12527, 12526])).
% 13.13/9.15 tff(12529,plain,
% 13.13/9.15 (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)),
% 13.13/9.15 inference(unit_resolution,[status(thm)],[12528, 579, 12525])).
% 13.13/9.15 tff(12530,plain,
% 13.13/9.15 (((~![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))))),
% 13.13/9.15 inference(rewrite,[status(thm)],[])).
% 13.13/9.15 tff(12531,plain,
% 13.13/9.15 ((~![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))))),
% 13.13/9.15 inference(quant_inst,[status(thm)],[])).
% 13.13/9.15 tff(12532,plain,
% 13.13/9.15 ((~![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)))),
% 13.13/9.15 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 13.13/9.15 tff(12533,plain,
% 13.13/9.15 (![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))),
% 13.13/9.15 inference(unit_resolution,[status(thm)],[12532, 1448, 12494])).
% 13.13/9.15 tff(12534,plain,
% 13.13/9.15 (((~![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)))),
% 13.13/9.15 inference(rewrite,[status(thm)],[])).
% 13.13/9.15 tff(12535,plain,
% 13.13/9.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))),
% 13.13/9.15 inference(quant_inst,[status(thm)],[])).
% 13.13/9.15 tff(12536,plain,
% 13.13/9.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2))),
% 13.13/9.15 inference(modus_ponens,[status(thm)],[12535, 12534])).
% 13.13/9.15 tff(12537,plain,
% 13.13/9.15 (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12536, 579, 12533])).
% 13.13/9.16 tff(12538,plain,
% 13.13/9.16 (((~![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))))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12539,plain,
% 13.13/9.16 ((~![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))))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12540,plain,
% 13.13/9.16 ((~![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)))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12539, 12538])).
% 13.13/9.16 tff(12541,plain,
% 13.13/9.16 ((~v123(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12540, 2180])).
% 13.13/9.16 tff(12542,plain,
% 13.13/9.16 (![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12541, 12473])).
% 13.13/9.16 tff(12543,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12544,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b101(bitIndex2)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12545,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b101(bitIndex2))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12544, 12543])).
% 13.13/9.16 tff(12546,plain,
% 13.13/9.16 (v130(constB69, bitIndex2) <=> b101(bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12545, 579, 12542])).
% 13.13/9.16 tff(12547,plain,
% 13.13/9.16 ((~(v130(constB69, bitIndex2) <=> b101(bitIndex2))) | v130(constB69, bitIndex2) | (~b101(bitIndex2))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12548,plain,
% 13.13/9.16 ((~(v130(constB69, bitIndex2) <=> b101(bitIndex2))) | v130(constB69, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12547, 2192])).
% 13.13/9.16 tff(12549,plain,
% 13.13/9.16 (v130(constB69, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12548, 12546])).
% 13.13/9.16 tff(12550,plain,
% 13.13/9.16 ((~(v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2))) | v127(constB69, bitIndex2) | (~v130(constB69, bitIndex2))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12551,plain,
% 13.13/9.16 (v127(constB69, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12550, 12549, 12537])).
% 13.13/9.16 tff(12552,plain,
% 13.13/9.16 ((~(v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2))) | v129(constB70, bitIndex2) | (~v127(constB69, bitIndex2))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12553,plain,
% 13.13/9.16 (v129(constB70, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12552, 12551, 12529])).
% 13.13/9.16 tff(12554,plain,
% 13.13/9.16 ((~(v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12555,plain,
% 13.13/9.16 (v90(constB70, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12554, 12553, 12521])).
% 13.13/9.16 tff(12556,plain,
% 13.13/9.16 ((~(v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2))) | v90(constB71, bitIndex2) | (~v90(constB70, bitIndex2))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12557,plain,
% 13.13/9.16 (v90(constB71, bitIndex2)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12556, 12555, 5242])).
% 13.13/9.16 tff(12558,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12559,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12560,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 13.13/9.16 tff(12561,plain,
% 13.13/9.16 (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12560, 1275, 5238])).
% 13.13/9.16 tff(12562,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12563,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12564,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12563, 12562])).
% 13.13/9.16 tff(12565,plain,
% 13.13/9.16 (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12564, 1275, 12517])).
% 13.13/9.16 tff(12566,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12567,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12568,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 13.13/9.16 tff(12569,plain,
% 13.13/9.16 (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12568, 1275, 12525])).
% 13.13/9.16 tff(12570,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12571,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12572,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12571, 12570])).
% 13.13/9.16 tff(12573,plain,
% 13.13/9.16 (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12572, 1275, 12533])).
% 13.13/9.16 tff(12574,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12575,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b101(bitIndex0)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12576,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b101(bitIndex0))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 13.13/9.16 tff(12577,plain,
% 13.13/9.16 (v130(constB69, bitIndex0) <=> b101(bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12576, 1275, 12542])).
% 13.13/9.16 tff(12578,plain,
% 13.13/9.16 ((~(v130(constB69, bitIndex0) <=> b101(bitIndex0))) | v130(constB69, bitIndex0) | (~b101(bitIndex0))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12579,plain,
% 13.13/9.16 ((~(v130(constB69, bitIndex0) <=> b101(bitIndex0))) | v130(constB69, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12578, 2351])).
% 13.13/9.16 tff(12580,plain,
% 13.13/9.16 (v130(constB69, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12579, 12577])).
% 13.13/9.16 tff(12581,plain,
% 13.13/9.16 ((~(v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0))) | v127(constB69, bitIndex0) | (~v130(constB69, bitIndex0))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12582,plain,
% 13.13/9.16 (v127(constB69, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12581, 12580, 12573])).
% 13.13/9.16 tff(12583,plain,
% 13.13/9.16 ((~(v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0))) | v129(constB70, bitIndex0) | (~v127(constB69, bitIndex0))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12584,plain,
% 13.13/9.16 (v129(constB70, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12583, 12582, 12569])).
% 13.13/9.16 tff(12585,plain,
% 13.13/9.16 ((~(v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12586,plain,
% 13.13/9.16 (v90(constB70, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12585, 12584, 12565])).
% 13.13/9.16 tff(12587,plain,
% 13.13/9.16 ((~(v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0))) | v90(constB71, bitIndex0) | (~v90(constB70, bitIndex0))),
% 13.13/9.16 inference(tautology,[status(thm)],[])).
% 13.13/9.16 tff(12588,plain,
% 13.13/9.16 (v90(constB71, bitIndex0)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12587, 12586, 12561])).
% 13.13/9.16 tff(12589,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12590,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12591,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 13.13/9.16 tff(12592,plain,
% 13.13/9.16 (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)),
% 13.13/9.16 inference(unit_resolution,[status(thm)],[12591, 1288, 5238])).
% 13.13/9.16 tff(12593,plain,
% 13.13/9.16 (((~![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)))),
% 13.13/9.16 inference(rewrite,[status(thm)],[])).
% 13.13/9.16 tff(12594,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))),
% 13.13/9.16 inference(quant_inst,[status(thm)],[])).
% 13.13/9.16 tff(12595,plain,
% 13.13/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1))),
% 13.13/9.16 inference(modus_ponens,[status(thm)],[12594, 12593])).
% 13.13/9.17 tff(12596,plain,
% 13.13/9.17 (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12595, 1288, 12517])).
% 13.13/9.17 tff(12597,plain,
% 13.13/9.17 (((~![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)))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12598,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12599,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12598, 12597])).
% 13.13/9.17 tff(12600,plain,
% 13.13/9.17 (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12599, 1288, 12525])).
% 13.13/9.17 tff(12601,plain,
% 13.13/9.17 (((~![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)))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12602,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12603,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12602, 12601])).
% 13.13/9.17 tff(12604,plain,
% 13.13/9.17 (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12603, 1288, 12533])).
% 13.13/9.17 tff(12605,plain,
% 13.13/9.17 (((~![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)))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12606,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b101(bitIndex1)))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12607,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b101(bitIndex1))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12606, 12605])).
% 13.13/9.17 tff(12608,plain,
% 13.13/9.17 (v130(constB69, bitIndex1) <=> b101(bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12607, 1288, 12542])).
% 13.13/9.17 tff(12609,plain,
% 13.13/9.17 ((~(v130(constB69, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB69, bitIndex1)) | b101(bitIndex1)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12610,plain,
% 13.13/9.17 ((~(v130(constB69, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB69, bitIndex1))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12609, 2391])).
% 13.13/9.17 tff(12611,plain,
% 13.13/9.17 (~v130(constB69, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12610, 12608])).
% 13.13/9.17 tff(12612,plain,
% 13.13/9.17 ((~(v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1))) | (~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12613,plain,
% 13.13/9.17 (~v127(constB69, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12612, 12611, 12604])).
% 13.13/9.17 tff(12614,plain,
% 13.13/9.17 ((~(v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1))) | (~v129(constB70, bitIndex1)) | v127(constB69, bitIndex1)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12615,plain,
% 13.13/9.17 (~v129(constB70, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12614, 12613, 12600])).
% 13.13/9.17 tff(12616,plain,
% 13.13/9.17 ((~(v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12617,plain,
% 13.13/9.17 (~v90(constB70, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12616, 12615, 12596])).
% 13.13/9.17 tff(12618,plain,
% 13.13/9.17 ((~(v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1))) | (~v90(constB71, bitIndex1)) | v90(constB70, bitIndex1)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12619,plain,
% 13.13/9.17 (~v90(constB71, bitIndex1)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12618, 12617, 12592])).
% 13.13/9.17 tff(12620,plain,
% 13.13/9.17 ((~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))) | (~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12621,plain,
% 13.13/9.17 (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12620, 12619, 12588, 12557])).
% 13.13/9.17 tff(12622,plain,
% 13.13/9.17 ((~(v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))) | v124(constB71) | ((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12623,plain,
% 13.13/9.17 (v124(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12622, 12621, 5210])).
% 13.13/9.17 tff(12624,plain,
% 13.13/9.17 ((v115(constB71) | v124(constB71)) | (~v124(constB71))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12625,plain,
% 13.13/9.17 (v115(constB71) | v124(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12624, 12623])).
% 13.13/9.17 tff(12626,plain,
% 13.13/9.17 ((~(v114(constB71) <=> (v115(constB71) | v124(constB71)))) | v114(constB71) | (~(v115(constB71) | v124(constB71)))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12627,plain,
% 13.13/9.17 (v114(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12626, 12625, 5203])).
% 13.13/9.17 tff(12628,plain,
% 13.13/9.17 ((v114(constB71) | v125(constB71)) | (~v114(constB71))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12629,plain,
% 13.13/9.17 (v114(constB71) | v125(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12628, 12627])).
% 13.13/9.17 tff(12630,plain,
% 13.13/9.17 ((~(v113(constB71) <=> (v114(constB71) | v125(constB71)))) | v113(constB71) | (~(v114(constB71) | v125(constB71)))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12631,plain,
% 13.13/9.17 (v113(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12630, 12629, 5201])).
% 13.13/9.17 tff(12632,plain,
% 13.13/9.17 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB71)) <=> v111(constB71))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12633,plain,
% 13.13/9.17 ((~v126(constB71)) <=> v111(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12632, 1345])).
% 13.13/9.17 tff(12634,plain,
% 13.13/9.17 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12635,plain,
% 13.13/9.17 (v111(constB71) <=> v26(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12634, 1357])).
% 13.13/9.17 tff(12636,plain,
% 13.13/9.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12637,plain,
% 13.13/9.17 (~v26(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12636, 1369])).
% 13.13/9.17 tff(12638,plain,
% 13.13/9.17 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12639,plain,
% 13.13/9.17 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12638, 12637])).
% 13.13/9.17 tff(12640,plain,
% 13.13/9.17 (~v111(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12639, 12635])).
% 13.13/9.17 tff(12641,plain,
% 13.13/9.17 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71) | v111(constB71)),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12642,plain,
% 13.13/9.17 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12641, 12640])).
% 13.13/9.17 tff(12643,plain,
% 13.13/9.17 (v126(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12642, 12633])).
% 13.13/9.17 tff(12644,plain,
% 13.13/9.17 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71)) | (~v126(constB71))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12645,plain,
% 13.13/9.17 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12644, 12643])).
% 13.13/9.17 tff(12646,plain,
% 13.13/9.17 (~((~v113(constB71)) | (~v126(constB71)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12645, 12631])).
% 13.13/9.17 tff(12647,plain,
% 13.13/9.17 ((~(v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))) | v112(constB71) | ((~v113(constB71)) | (~v126(constB71)))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12648,plain,
% 13.13/9.17 (v112(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12647, 12646, 5199])).
% 13.13/9.17 tff(12649,plain,
% 13.13/9.17 ((v111(constB71) | v112(constB71)) | (~v112(constB71))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12650,plain,
% 13.13/9.17 (v111(constB71) | v112(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12649, 12648])).
% 13.13/9.17 tff(12651,plain,
% 13.13/9.17 ((~(v108(constB71) <=> (v111(constB71) | v112(constB71)))) | v108(constB71) | (~(v111(constB71) | v112(constB71)))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12652,plain,
% 13.13/9.17 (v108(constB71)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12651, 12650, 5197])).
% 13.13/9.17 tff(12653,plain,
% 13.13/9.17 ((~(v110(constB72) <=> v108(constB71))) | v110(constB72) | (~v108(constB71))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12654,plain,
% 13.13/9.17 (v110(constB72)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12653, 12652, 5195])).
% 13.13/9.17 tff(12655,plain,
% 13.13/9.17 ((~((~v101(constB72)) | (~v110(constB72)))) | (~v101(constB72)) | (~v110(constB72))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12656,plain,
% 13.13/9.17 (~((~v101(constB72)) | (~v110(constB72)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12655, 12654, 5191])).
% 13.13/9.17 tff(12657,plain,
% 13.13/9.17 ((~(v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))) | v100(constB72) | ((~v101(constB72)) | (~v110(constB72)))),
% 13.13/9.17 inference(tautology,[status(thm)],[])).
% 13.13/9.17 tff(12658,plain,
% 13.13/9.17 (v100(constB72)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12657, 12656, 5160])).
% 13.13/9.17 tff(12659,plain,
% 13.13/9.17 (((~![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))))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12660,plain,
% 13.13/9.17 ((~![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))))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12661,plain,
% 13.13/9.17 ((~![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)))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 13.13/9.17 tff(12662,plain,
% 13.13/9.17 ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12661, 1405])).
% 13.13/9.17 tff(12663,plain,
% 13.13/9.17 (![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12662, 12658])).
% 13.13/9.17 tff(12664,plain,
% 13.13/9.17 (((~![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)))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12665,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12666,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 13.13/9.17 tff(12667,plain,
% 13.13/9.17 (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12666, 579, 12663])).
% 13.13/9.17 tff(12668,plain,
% 13.13/9.17 (((~![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))))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12669,plain,
% 13.13/9.17 ((~![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))))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12670,plain,
% 13.13/9.17 ((~![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)))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12669, 12668])).
% 13.13/9.17 tff(12671,plain,
% 13.13/9.17 (![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12670, 5156, 1427])).
% 13.13/9.17 tff(12672,plain,
% 13.13/9.17 (((~![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)))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12673,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12674,plain,
% 13.13/9.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 13.13/9.17 tff(12675,plain,
% 13.13/9.17 (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12674, 579, 12671])).
% 13.13/9.17 tff(12676,plain,
% 13.13/9.17 (((~![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))))),
% 13.13/9.17 inference(rewrite,[status(thm)],[])).
% 13.13/9.17 tff(12677,plain,
% 13.13/9.17 ((~![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))))),
% 13.13/9.17 inference(quant_inst,[status(thm)],[])).
% 13.13/9.17 tff(12678,plain,
% 13.13/9.17 ((~![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)))),
% 13.13/9.17 inference(modus_ponens,[status(thm)],[12677, 12676])).
% 13.13/9.17 tff(12679,plain,
% 13.13/9.17 (![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))),
% 13.13/9.17 inference(unit_resolution,[status(thm)],[12678, 1448, 12640])).
% 13.13/9.17 tff(12680,plain,
% 13.13/9.17 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12681,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12682,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12681, 12680])).
% 13.13/9.18 tff(12683,plain,
% 13.13/9.18 (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12682, 579, 12679])).
% 13.13/9.18 tff(12684,plain,
% 13.13/9.18 (((~![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))))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12685,plain,
% 13.13/9.18 ((~![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))))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12686,plain,
% 13.13/9.18 ((~![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)))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 13.13/9.18 tff(12687,plain,
% 13.13/9.18 ((~v124(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12686, 2735])).
% 13.13/9.18 tff(12688,plain,
% 13.13/9.18 (![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12687, 12623])).
% 13.13/9.18 tff(12689,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12690,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b110(bitIndex2)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12691,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b110(bitIndex2))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12690, 12689])).
% 13.13/9.18 tff(12692,plain,
% 13.13/9.18 (v130(constB71, bitIndex2) <=> b110(bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12691, 579, 12688])).
% 13.13/9.18 tff(12693,plain,
% 13.13/9.18 ((~(v130(constB71, bitIndex2) <=> b110(bitIndex2))) | v130(constB71, bitIndex2) | (~b110(bitIndex2))),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12694,plain,
% 13.13/9.18 ((~(v130(constB71, bitIndex2) <=> b110(bitIndex2))) | v130(constB71, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12693, 2747])).
% 13.13/9.18 tff(12695,plain,
% 13.13/9.18 (v130(constB71, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12694, 12692])).
% 13.13/9.18 tff(12696,plain,
% 13.13/9.18 ((~(v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2))) | v127(constB71, bitIndex2) | (~v130(constB71, bitIndex2))),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12697,plain,
% 13.13/9.18 (v127(constB71, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12696, 12695, 12683])).
% 13.13/9.18 tff(12698,plain,
% 13.13/9.18 ((~(v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2))) | v129(constB72, bitIndex2) | (~v127(constB71, bitIndex2))),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12699,plain,
% 13.13/9.18 (v129(constB72, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12698, 12697, 12675])).
% 13.13/9.18 tff(12700,plain,
% 13.13/9.18 ((~(v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2))),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12701,plain,
% 13.13/9.18 (v90(constB72, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12700, 12699, 12667])).
% 13.13/9.18 tff(12702,plain,
% 13.13/9.18 ((~(v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2))) | v90(constB73, bitIndex2) | (~v90(constB72, bitIndex2))),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12703,plain,
% 13.13/9.18 (v90(constB73, bitIndex2)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12702, 12701, 5153])).
% 13.13/9.18 tff(12704,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12705,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12706,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12705, 12704])).
% 13.13/9.18 tff(12707,plain,
% 13.13/9.18 (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12706, 1275, 5149])).
% 13.13/9.18 tff(12708,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12709,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12710,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12709, 12708])).
% 13.13/9.18 tff(12711,plain,
% 13.13/9.18 (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12710, 1275, 12663])).
% 13.13/9.18 tff(12712,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12713,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12714,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12713, 12712])).
% 13.13/9.18 tff(12715,plain,
% 13.13/9.18 (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12714, 1275, 12671])).
% 13.13/9.18 tff(12716,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12717,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12718,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12717, 12716])).
% 13.13/9.18 tff(12719,plain,
% 13.13/9.18 (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12718, 1275, 12679])).
% 13.13/9.18 tff(12720,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12721,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b110(bitIndex0)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12722,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b110(bitIndex0))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 13.13/9.18 tff(12723,plain,
% 13.13/9.18 (v130(constB71, bitIndex0) <=> b110(bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12722, 1275, 12688])).
% 13.13/9.18 tff(12724,plain,
% 13.13/9.18 ((~(v130(constB71, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB71, bitIndex0)) | b110(bitIndex0)),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12725,plain,
% 13.13/9.18 ((~(v130(constB71, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB71, bitIndex0))),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12724, 2862])).
% 13.13/9.18 tff(12726,plain,
% 13.13/9.18 (~v130(constB71, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12725, 12723])).
% 13.13/9.18 tff(12727,plain,
% 13.13/9.18 ((~(v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0))) | (~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12728,plain,
% 13.13/9.18 (~v127(constB71, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12727, 12726, 12719])).
% 13.13/9.18 tff(12729,plain,
% 13.13/9.18 ((~(v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0))) | (~v129(constB72, bitIndex0)) | v127(constB71, bitIndex0)),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12730,plain,
% 13.13/9.18 (~v129(constB72, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12729, 12728, 12715])).
% 13.13/9.18 tff(12731,plain,
% 13.13/9.18 ((~(v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0)),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12732,plain,
% 13.13/9.18 (~v90(constB72, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12731, 12730, 12711])).
% 13.13/9.18 tff(12733,plain,
% 13.13/9.18 ((~(v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0))) | (~v90(constB73, bitIndex0)) | v90(constB72, bitIndex0)),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12734,plain,
% 13.13/9.18 (~v90(constB73, bitIndex0)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12733, 12732, 12707])).
% 13.13/9.18 tff(12735,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12736,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12737,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 13.13/9.18 tff(12738,plain,
% 13.13/9.18 (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12737, 1288, 5149])).
% 13.13/9.18 tff(12739,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12740,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12741,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12740, 12739])).
% 13.13/9.18 tff(12742,plain,
% 13.13/9.18 (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12741, 1288, 12663])).
% 13.13/9.18 tff(12743,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12744,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12745,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12744, 12743])).
% 13.13/9.18 tff(12746,plain,
% 13.13/9.18 (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12745, 1288, 12671])).
% 13.13/9.18 tff(12747,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12748,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12749,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 13.13/9.18 tff(12750,plain,
% 13.13/9.18 (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12749, 1288, 12679])).
% 13.13/9.18 tff(12751,plain,
% 13.13/9.18 (((~![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)))),
% 13.13/9.18 inference(rewrite,[status(thm)],[])).
% 13.13/9.18 tff(12752,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b110(bitIndex1)))),
% 13.13/9.18 inference(quant_inst,[status(thm)],[])).
% 13.13/9.18 tff(12753,plain,
% 13.13/9.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b110(bitIndex1))),
% 13.13/9.18 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 13.13/9.18 tff(12754,plain,
% 13.13/9.18 (v130(constB71, bitIndex1) <=> b110(bitIndex1)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12753, 1288, 12688])).
% 13.13/9.18 tff(12755,plain,
% 13.13/9.18 ((~(v130(constB71, bitIndex1) <=> b110(bitIndex1))) | v130(constB71, bitIndex1) | (~b110(bitIndex1))),
% 13.13/9.18 inference(tautology,[status(thm)],[])).
% 13.13/9.18 tff(12756,plain,
% 13.13/9.18 ((~(v130(constB71, bitIndex1) <=> b110(bitIndex1))) | v130(constB71, bitIndex1)),
% 13.13/9.18 inference(unit_resolution,[status(thm)],[12755, 2902])).
% 13.13/9.19 tff(12757,plain,
% 13.13/9.19 (v130(constB71, bitIndex1)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12756, 12754])).
% 13.13/9.19 tff(12758,plain,
% 13.13/9.19 ((~(v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1))) | v127(constB71, bitIndex1) | (~v130(constB71, bitIndex1))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12759,plain,
% 13.13/9.19 (v127(constB71, bitIndex1)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12758, 12757, 12750])).
% 13.13/9.19 tff(12760,plain,
% 13.13/9.19 ((~(v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1))) | v129(constB72, bitIndex1) | (~v127(constB71, bitIndex1))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12761,plain,
% 13.13/9.19 (v129(constB72, bitIndex1)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12760, 12759, 12746])).
% 13.13/9.19 tff(12762,plain,
% 13.13/9.19 ((~(v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12763,plain,
% 13.13/9.19 (v90(constB72, bitIndex1)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12762, 12761, 12742])).
% 13.13/9.19 tff(12764,plain,
% 13.13/9.19 ((~(v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1))) | v90(constB73, bitIndex1) | (~v90(constB72, bitIndex1))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12765,plain,
% 13.13/9.19 (v90(constB73, bitIndex1)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12764, 12763, 12738])).
% 13.13/9.19 tff(12766,plain,
% 13.13/9.19 ((~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12767,plain,
% 13.13/9.19 (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12766, 12765, 12734, 12703])).
% 13.13/9.19 tff(12768,plain,
% 13.13/9.19 ((~(v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))) | v125(constB73) | ((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12769,plain,
% 13.13/9.19 (v125(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12768, 12767, 5121])).
% 13.13/9.19 tff(12770,plain,
% 13.13/9.19 ((v114(constB73) | v125(constB73)) | (~v125(constB73))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12771,plain,
% 13.13/9.19 (v114(constB73) | v125(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12770, 12769])).
% 13.13/9.19 tff(12772,plain,
% 13.13/9.19 ((~(v113(constB73) <=> (v114(constB73) | v125(constB73)))) | v113(constB73) | (~(v114(constB73) | v125(constB73)))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12773,plain,
% 13.13/9.19 (v113(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12772, 12771, 5114])).
% 13.13/9.19 tff(12774,plain,
% 13.13/9.19 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB73)) <=> v111(constB73))),
% 13.13/9.19 inference(quant_inst,[status(thm)],[])).
% 13.13/9.19 tff(12775,plain,
% 13.13/9.19 ((~v126(constB73)) <=> v111(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12774, 1345])).
% 13.13/9.19 tff(12776,plain,
% 13.13/9.19 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 13.13/9.19 inference(quant_inst,[status(thm)],[])).
% 13.13/9.19 tff(12777,plain,
% 13.13/9.19 (v111(constB73) <=> v26(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12776, 1357])).
% 13.13/9.19 tff(12778,plain,
% 13.13/9.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 13.13/9.19 inference(quant_inst,[status(thm)],[])).
% 13.13/9.19 tff(12779,plain,
% 13.13/9.19 (~v26(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12778, 1369])).
% 13.13/9.19 tff(12780,plain,
% 13.13/9.19 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12781,plain,
% 13.13/9.19 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12780, 12779])).
% 13.13/9.19 tff(12782,plain,
% 13.13/9.19 (~v111(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12781, 12777])).
% 13.13/9.19 tff(12783,plain,
% 13.13/9.19 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73) | v111(constB73)),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12784,plain,
% 13.13/9.19 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12783, 12782])).
% 13.13/9.19 tff(12785,plain,
% 13.13/9.19 (v126(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12784, 12775])).
% 13.13/9.19 tff(12786,plain,
% 13.13/9.19 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73)) | (~v126(constB73))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12787,plain,
% 13.13/9.19 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12786, 12785])).
% 13.13/9.19 tff(12788,plain,
% 13.13/9.19 (~((~v113(constB73)) | (~v126(constB73)))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12787, 12773])).
% 13.13/9.19 tff(12789,plain,
% 13.13/9.19 ((~(v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))) | v112(constB73) | ((~v113(constB73)) | (~v126(constB73)))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12790,plain,
% 13.13/9.19 (v112(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12789, 12788, 5112])).
% 13.13/9.19 tff(12791,plain,
% 13.13/9.19 ((v111(constB73) | v112(constB73)) | (~v112(constB73))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12792,plain,
% 13.13/9.19 (v111(constB73) | v112(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12791, 12790])).
% 13.13/9.19 tff(12793,plain,
% 13.13/9.19 ((~(v108(constB73) <=> (v111(constB73) | v112(constB73)))) | v108(constB73) | (~(v111(constB73) | v112(constB73)))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12794,plain,
% 13.13/9.19 (v108(constB73)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12793, 12792, 5110])).
% 13.13/9.19 tff(12795,plain,
% 13.13/9.19 ((~(v110(constB74) <=> v108(constB73))) | v110(constB74) | (~v108(constB73))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12796,plain,
% 13.13/9.19 (v110(constB74)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12795, 12794, 5108])).
% 13.13/9.19 tff(12797,plain,
% 13.13/9.19 ((~((~v101(constB74)) | (~v110(constB74)))) | (~v101(constB74)) | (~v110(constB74))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12798,plain,
% 13.13/9.19 (~((~v101(constB74)) | (~v110(constB74)))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12797, 12796, 5104])).
% 13.13/9.19 tff(12799,plain,
% 13.13/9.19 ((~(v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))) | v100(constB74) | ((~v101(constB74)) | (~v110(constB74)))),
% 13.13/9.19 inference(tautology,[status(thm)],[])).
% 13.13/9.19 tff(12800,plain,
% 13.13/9.19 (v100(constB74)),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12799, 12798, 5073])).
% 13.13/9.19 tff(12801,plain,
% 13.13/9.19 (((~![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))))),
% 13.13/9.19 inference(rewrite,[status(thm)],[])).
% 13.13/9.19 tff(12802,plain,
% 13.13/9.19 ((~![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))))),
% 13.13/9.19 inference(quant_inst,[status(thm)],[])).
% 13.13/9.19 tff(12803,plain,
% 13.13/9.19 ((~![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)))),
% 13.13/9.19 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 13.13/9.19 tff(12804,plain,
% 13.13/9.19 ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12803, 1405])).
% 13.13/9.19 tff(12805,plain,
% 13.13/9.19 (![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 13.13/9.19 inference(unit_resolution,[status(thm)],[12804, 12800])).
% 13.13/9.19 tff(12806,plain,
% 13.13/9.19 (((~![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)))),
% 13.13/9.19 inference(rewrite,[status(thm)],[])).
% 13.13/9.19 tff(12807,plain,
% 13.13/9.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))),
% 13.17/9.19 inference(quant_inst,[status(thm)],[])).
% 13.17/9.19 tff(12808,plain,
% 13.17/9.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2))),
% 13.17/9.19 inference(modus_ponens,[status(thm)],[12807, 12806])).
% 13.17/9.19 tff(12809,plain,
% 13.17/9.19 (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)),
% 13.17/9.19 inference(unit_resolution,[status(thm)],[12808, 579, 12805])).
% 13.17/9.19 tff(12810,plain,
% 13.17/9.19 (((~![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))))),
% 13.17/9.19 inference(rewrite,[status(thm)],[])).
% 13.17/9.19 tff(12811,plain,
% 13.17/9.19 ((~![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))))),
% 13.17/9.19 inference(quant_inst,[status(thm)],[])).
% 13.17/9.19 tff(12812,plain,
% 13.17/9.19 ((~![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)))),
% 13.17/9.19 inference(modus_ponens,[status(thm)],[12811, 12810])).
% 13.17/9.19 tff(12813,plain,
% 13.17/9.19 (![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))),
% 13.17/9.19 inference(unit_resolution,[status(thm)],[12812, 5069, 1427])).
% 13.17/9.19 tff(12814,plain,
% 13.17/9.19 (((~![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)))),
% 13.17/9.19 inference(rewrite,[status(thm)],[])).
% 13.17/9.19 tff(12815,plain,
% 13.17/9.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))),
% 13.17/9.19 inference(quant_inst,[status(thm)],[])).
% 13.17/9.19 tff(12816,plain,
% 13.17/9.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2))),
% 13.17/9.19 inference(modus_ponens,[status(thm)],[12815, 12814])).
% 13.17/9.19 tff(12817,plain,
% 13.17/9.19 (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)),
% 13.17/9.19 inference(unit_resolution,[status(thm)],[12816, 579, 12813])).
% 13.17/9.19 tff(12818,plain,
% 13.17/9.19 (((~![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))))),
% 13.17/9.19 inference(rewrite,[status(thm)],[])).
% 13.17/9.19 tff(12819,plain,
% 13.17/9.19 ((~![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))))),
% 13.17/9.19 inference(quant_inst,[status(thm)],[])).
% 13.17/9.19 tff(12820,plain,
% 13.17/9.19 ((~![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)))),
% 13.17/9.19 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 13.17/9.19 tff(12821,plain,
% 13.17/9.19 (![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))),
% 13.17/9.19 inference(unit_resolution,[status(thm)],[12820, 1448, 12782])).
% 13.17/9.20 tff(12822,plain,
% 13.17/9.20 (((~![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)))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12823,plain,
% 13.17/9.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))),
% 13.17/9.20 inference(quant_inst,[status(thm)],[])).
% 13.17/9.20 tff(12824,plain,
% 13.17/9.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2))),
% 13.17/9.20 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 13.17/9.20 tff(12825,plain,
% 13.17/9.20 (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12824, 579, 12821])).
% 13.17/9.20 tff(12826,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2))))),
% 13.17/9.20 inference(quant_inst,[status(thm)],[])).
% 13.17/9.20 tff(12827,plain,
% 13.17/9.20 (v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)))),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12826, 1242])).
% 13.17/9.20 tff(12828,plain,
% 13.17/9.20 ((v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex2))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12829,plain,
% 13.17/9.20 (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12828, 12703])).
% 13.17/9.20 tff(12830,plain,
% 13.17/9.20 ((~(v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2))))) | (~v119(constB73)) | (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12831,plain,
% 13.17/9.20 (~v119(constB73)),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12830, 12829, 12827])).
% 13.17/9.20 tff(12832,plain,
% 13.17/9.20 (((~![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))))))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12833,plain,
% 13.17/9.20 ((v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2))))) <=> (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12834,plain,
% 13.17/9.20 (((~![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))))))),
% 13.17/9.20 inference(monotonicity,[status(thm)],[12833])).
% 13.17/9.20 tff(12835,plain,
% 13.17/9.20 (((~![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))))))),
% 13.17/9.20 inference(transitivity,[status(thm)],[12834, 12832])).
% 13.17/9.20 tff(12836,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))),
% 13.17/9.20 inference(quant_inst,[status(thm)],[])).
% 13.17/9.20 tff(12837,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.20 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 13.17/9.20 tff(12838,plain,
% 13.17/9.20 (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12837, 2651])).
% 13.17/9.20 tff(12839,plain,
% 13.17/9.20 (((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex1))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12840,plain,
% 13.17/9.20 ((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12839, 12765])).
% 13.17/9.20 tff(12841,plain,
% 13.17/9.20 ((~(v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))) | (~v124(constB73)) | (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12842,plain,
% 13.17/9.20 (~v124(constB73)),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12841, 12840, 12838])).
% 13.17/9.20 tff(12843,plain,
% 13.17/9.20 (((~![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)))))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12844,plain,
% 13.17/9.20 ((v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2))))) <=> (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12845,plain,
% 13.17/9.20 (((~![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)))))),
% 13.17/9.20 inference(monotonicity,[status(thm)],[12844])).
% 13.17/9.20 tff(12846,plain,
% 13.17/9.20 (((~![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)))))),
% 13.17/9.20 inference(transitivity,[status(thm)],[12845, 12843])).
% 13.17/9.20 tff(12847,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))),
% 13.17/9.20 inference(quant_inst,[status(thm)],[])).
% 13.17/9.20 tff(12848,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))),
% 13.17/9.20 inference(modus_ponens,[status(thm)],[12847, 12846])).
% 13.17/9.20 tff(12849,plain,
% 13.17/9.20 (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12848, 787])).
% 13.17/9.20 tff(12850,plain,
% 13.17/9.20 (((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12851,plain,
% 13.17/9.20 ((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12850, 12765])).
% 13.17/9.20 tff(12852,plain,
% 13.17/9.20 ((~(v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))) | (~v123(constB73)) | (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12853,plain,
% 13.17/9.20 (~v123(constB73)),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12852, 12851, 12849])).
% 13.17/9.20 tff(12854,plain,
% 13.17/9.20 (((~![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))))))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12855,plain,
% 13.17/9.20 ((v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1))))) <=> (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.20 inference(rewrite,[status(thm)],[])).
% 13.17/9.20 tff(12856,plain,
% 13.17/9.20 (((~![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))))))),
% 13.17/9.20 inference(monotonicity,[status(thm)],[12855])).
% 13.17/9.20 tff(12857,plain,
% 13.17/9.20 (((~![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))))))),
% 13.17/9.20 inference(transitivity,[status(thm)],[12856, 12854])).
% 13.17/9.20 tff(12858,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))),
% 13.17/9.20 inference(quant_inst,[status(thm)],[])).
% 13.17/9.20 tff(12859,plain,
% 13.17/9.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.20 inference(modus_ponens,[status(thm)],[12858, 12857])).
% 13.17/9.20 tff(12860,plain,
% 13.17/9.20 (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))),
% 13.17/9.20 inference(unit_resolution,[status(thm)],[12859, 900])).
% 13.17/9.20 tff(12861,plain,
% 13.17/9.20 ((v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2))),
% 13.17/9.20 inference(tautology,[status(thm)],[])).
% 13.17/9.20 tff(12862,plain,
% 13.17/9.21 (v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12861, 12703])).
% 13.17/9.21 tff(12863,plain,
% 13.17/9.21 ((~(v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))) | (~v122(constB73)) | (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12864,plain,
% 13.17/9.21 (~v122(constB73)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12863, 12862, 12860])).
% 13.17/9.21 tff(12865,plain,
% 13.17/9.21 (((~![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)))))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12866,plain,
% 13.17/9.21 ((v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1))))) <=> (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12867,plain,
% 13.17/9.21 (((~![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)))))),
% 13.17/9.21 inference(monotonicity,[status(thm)],[12866])).
% 13.17/9.21 tff(12868,plain,
% 13.17/9.21 (((~![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)))))),
% 13.17/9.21 inference(transitivity,[status(thm)],[12867, 12865])).
% 13.17/9.21 tff(12869,plain,
% 13.17/9.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))),
% 13.17/9.21 inference(quant_inst,[status(thm)],[])).
% 13.17/9.21 tff(12870,plain,
% 13.17/9.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 13.17/9.21 inference(modus_ponens,[status(thm)],[12869, 12868])).
% 13.17/9.21 tff(12871,plain,
% 13.17/9.21 (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12870, 1015])).
% 13.17/9.21 tff(12872,plain,
% 13.17/9.21 ((v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2))),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12873,plain,
% 13.17/9.21 (v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12872, 12703])).
% 13.17/9.21 tff(12874,plain,
% 13.17/9.21 ((~(v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))) | (~v121(constB73)) | (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12875,plain,
% 13.17/9.21 (~v121(constB73)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12874, 12873, 12871])).
% 13.17/9.21 tff(12876,plain,
% 13.17/9.21 (((~![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))))))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12877,plain,
% 13.17/9.21 ((v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0))))) <=> (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12878,plain,
% 13.17/9.21 (((~![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))))))),
% 13.17/9.21 inference(monotonicity,[status(thm)],[12877])).
% 13.17/9.21 tff(12879,plain,
% 13.17/9.21 (((~![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))))))),
% 13.17/9.21 inference(transitivity,[status(thm)],[12878, 12876])).
% 13.17/9.21 tff(12880,plain,
% 13.17/9.21 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.21 inference(quant_inst,[status(thm)],[])).
% 13.17/9.21 tff(12881,plain,
% 13.17/9.21 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 13.17/9.21 inference(modus_ponens,[status(thm)],[12880, 12879])).
% 13.17/9.21 tff(12882,plain,
% 13.17/9.21 (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12881, 1132])).
% 13.17/9.21 tff(12883,plain,
% 13.17/9.21 ((v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2))),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12884,plain,
% 13.17/9.21 (v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12883, 12703])).
% 13.17/9.21 tff(12885,plain,
% 13.17/9.21 ((~(v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))) | (~v120(constB73)) | (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12886,plain,
% 13.17/9.21 (~v120(constB73)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12885, 12884, 12882])).
% 13.17/9.21 tff(12887,plain,
% 13.17/9.21 (((~![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(constB73) | v120(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))))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12888,plain,
% 13.17/9.21 ((v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) <=> (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12889,plain,
% 13.17/9.21 (((~![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))))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))))),
% 13.17/9.21 inference(monotonicity,[status(thm)],[12888])).
% 13.17/9.21 tff(12890,plain,
% 13.17/9.21 (((~![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))))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 13.17/9.21 inference(transitivity,[status(thm)],[12889, 12887])).
% 13.17/9.21 tff(12891,plain,
% 13.17/9.21 ((~![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))))),
% 13.17/9.21 inference(quant_inst,[status(thm)],[])).
% 13.17/9.21 tff(12892,plain,
% 13.17/9.21 ((~![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(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))),
% 13.17/9.21 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 13.17/9.21 tff(12893,plain,
% 13.17/9.21 (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12892, 8006])).
% 13.17/9.21 tff(12894,plain,
% 13.17/9.21 (![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12893, 12886, 12875, 12864, 12853, 12842, 12831])).
% 13.17/9.21 tff(12895,plain,
% 13.17/9.21 (((~![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)))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12896,plain,
% 13.17/9.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b001(bitIndex2)))),
% 13.17/9.21 inference(quant_inst,[status(thm)],[])).
% 13.17/9.21 tff(12897,plain,
% 13.17/9.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b001(bitIndex2))),
% 13.17/9.21 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 13.17/9.21 tff(12898,plain,
% 13.17/9.21 (v130(constB73, bitIndex2) <=> b001(bitIndex2)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12897, 579, 12894])).
% 13.17/9.21 tff(12899,plain,
% 13.17/9.21 ((~(v130(constB73, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB73, bitIndex2)) | b001(bitIndex2)),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12900,plain,
% 13.17/9.21 ((~(v130(constB73, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB73, bitIndex2))),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12899, 1480])).
% 13.17/9.21 tff(12901,plain,
% 13.17/9.21 (~v130(constB73, bitIndex2)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12900, 12898])).
% 13.17/9.21 tff(12902,plain,
% 13.17/9.21 ((~(v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2))) | (~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12903,plain,
% 13.17/9.21 (~v127(constB73, bitIndex2)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12902, 12901, 12825])).
% 13.17/9.21 tff(12904,plain,
% 13.17/9.21 ((~(v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2))) | (~v129(constB74, bitIndex2)) | v127(constB73, bitIndex2)),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12905,plain,
% 13.17/9.21 (~v129(constB74, bitIndex2)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12904, 12903, 12817])).
% 13.17/9.21 tff(12906,plain,
% 13.17/9.21 ((~(v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2)),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12907,plain,
% 13.17/9.21 (~v90(constB74, bitIndex2)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12906, 12905, 12809])).
% 13.17/9.21 tff(12908,plain,
% 13.17/9.21 ((~(v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2))) | (~v90(constB75, bitIndex2)) | v90(constB74, bitIndex2)),
% 13.17/9.21 inference(tautology,[status(thm)],[])).
% 13.17/9.21 tff(12909,plain,
% 13.17/9.21 (~v90(constB75, bitIndex2)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12908, 12907, 5066])).
% 13.17/9.21 tff(12910,plain,
% 13.17/9.21 (((~![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)))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12911,plain,
% 13.17/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))),
% 13.17/9.21 inference(quant_inst,[status(thm)],[])).
% 13.17/9.21 tff(12912,plain,
% 13.17/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0))),
% 13.17/9.21 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 13.17/9.21 tff(12913,plain,
% 13.17/9.21 (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12912, 1275, 5062])).
% 13.17/9.21 tff(12914,plain,
% 13.17/9.21 (((~![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)))),
% 13.17/9.21 inference(rewrite,[status(thm)],[])).
% 13.17/9.21 tff(12915,plain,
% 13.17/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))),
% 13.17/9.21 inference(quant_inst,[status(thm)],[])).
% 13.17/9.21 tff(12916,plain,
% 13.17/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0))),
% 13.17/9.21 inference(modus_ponens,[status(thm)],[12915, 12914])).
% 13.17/9.21 tff(12917,plain,
% 13.17/9.21 (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)),
% 13.17/9.21 inference(unit_resolution,[status(thm)],[12916, 1275, 12805])).
% 13.17/9.21 tff(12918,plain,
% 13.17/9.21 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12919,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12920,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12919, 12918])).
% 13.17/9.22 tff(12921,plain,
% 13.17/9.22 (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12920, 1275, 12813])).
% 13.17/9.22 tff(12922,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12923,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12924,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 13.17/9.22 tff(12925,plain,
% 13.17/9.22 (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12924, 1275, 12821])).
% 13.17/9.22 tff(12926,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12927,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b001(bitIndex0)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12928,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b001(bitIndex0))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 13.17/9.22 tff(12929,plain,
% 13.17/9.22 (v130(constB73, bitIndex0) <=> b001(bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12928, 1275, 12894])).
% 13.17/9.22 tff(12930,plain,
% 13.17/9.22 ((~(v130(constB73, bitIndex0) <=> b001(bitIndex0))) | v130(constB73, bitIndex0) | (~b001(bitIndex0))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12931,plain,
% 13.17/9.22 ((~(v130(constB73, bitIndex0) <=> b001(bitIndex0))) | v130(constB73, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12930, 1514])).
% 13.17/9.22 tff(12932,plain,
% 13.17/9.22 (v130(constB73, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12931, 12929])).
% 13.17/9.22 tff(12933,plain,
% 13.17/9.22 ((~(v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0))) | v127(constB73, bitIndex0) | (~v130(constB73, bitIndex0))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12934,plain,
% 13.17/9.22 (v127(constB73, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12933, 12932, 12925])).
% 13.17/9.22 tff(12935,plain,
% 13.17/9.22 ((~(v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0))) | v129(constB74, bitIndex0) | (~v127(constB73, bitIndex0))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12936,plain,
% 13.17/9.22 (v129(constB74, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12935, 12934, 12921])).
% 13.17/9.22 tff(12937,plain,
% 13.17/9.22 ((~(v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12938,plain,
% 13.17/9.22 (v90(constB74, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12937, 12936, 12917])).
% 13.17/9.22 tff(12939,plain,
% 13.17/9.22 ((~(v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0))) | v90(constB75, bitIndex0) | (~v90(constB74, bitIndex0))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12940,plain,
% 13.17/9.22 (v90(constB75, bitIndex0)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12939, 12938, 12913])).
% 13.17/9.22 tff(12941,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12942,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12943,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 13.17/9.22 tff(12944,plain,
% 13.17/9.22 (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12943, 1288, 5062])).
% 13.17/9.22 tff(12945,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12946,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12947,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 13.17/9.22 tff(12948,plain,
% 13.17/9.22 (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12947, 1288, 12805])).
% 13.17/9.22 tff(12949,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12950,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12951,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 13.17/9.22 tff(12952,plain,
% 13.17/9.22 (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12951, 1288, 12813])).
% 13.17/9.22 tff(12953,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12954,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12955,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 13.17/9.22 tff(12956,plain,
% 13.17/9.22 (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12955, 1288, 12821])).
% 13.17/9.22 tff(12957,plain,
% 13.17/9.22 (((~![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)))),
% 13.17/9.22 inference(rewrite,[status(thm)],[])).
% 13.17/9.22 tff(12958,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b001(bitIndex1)))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(12959,plain,
% 13.17/9.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b001(bitIndex1))),
% 13.17/9.22 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 13.17/9.22 tff(12960,plain,
% 13.17/9.22 (v130(constB73, bitIndex1) <=> b001(bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12959, 1288, 12894])).
% 13.17/9.22 tff(12961,plain,
% 13.17/9.22 ((~(v130(constB73, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB73, bitIndex1)) | b001(bitIndex1)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12962,plain,
% 13.17/9.22 ((~(v130(constB73, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB73, bitIndex1))),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12961, 1548])).
% 13.17/9.22 tff(12963,plain,
% 13.17/9.22 (~v130(constB73, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12962, 12960])).
% 13.17/9.22 tff(12964,plain,
% 13.17/9.22 ((~(v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1))) | (~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12965,plain,
% 13.17/9.22 (~v127(constB73, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12964, 12963, 12956])).
% 13.17/9.22 tff(12966,plain,
% 13.17/9.22 ((~(v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1))) | (~v129(constB74, bitIndex1)) | v127(constB73, bitIndex1)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12967,plain,
% 13.17/9.22 (~v129(constB74, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12966, 12965, 12952])).
% 13.17/9.22 tff(12968,plain,
% 13.17/9.22 ((~(v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12969,plain,
% 13.17/9.22 (~v90(constB74, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12968, 12967, 12948])).
% 13.17/9.22 tff(12970,plain,
% 13.17/9.22 ((~(v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1))) | (~v90(constB75, bitIndex1)) | v90(constB74, bitIndex1)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12971,plain,
% 13.17/9.22 (~v90(constB75, bitIndex1)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12970, 12969, 12944])).
% 13.17/9.22 tff(12972,plain,
% 13.17/9.22 ((~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))) | v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12973,plain,
% 13.17/9.22 (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12972, 12971, 12940, 12909])).
% 13.17/9.22 tff(12974,plain,
% 13.17/9.22 ((~(v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) | v120(constB75) | (v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12975,plain,
% 13.17/9.22 (v120(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12974, 12973, 5034])).
% 13.17/9.22 tff(12976,plain,
% 13.17/9.22 ((v119(constB75) | v120(constB75)) | (~v120(constB75))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12977,plain,
% 13.17/9.22 (v119(constB75) | v120(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12976, 12975])).
% 13.17/9.22 tff(12978,plain,
% 13.17/9.22 ((~(v118(constB75) <=> (v119(constB75) | v120(constB75)))) | v118(constB75) | (~(v119(constB75) | v120(constB75)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12979,plain,
% 13.17/9.22 (v118(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12978, 12977, 5027])).
% 13.17/9.22 tff(12980,plain,
% 13.17/9.22 ((v118(constB75) | v121(constB75)) | (~v118(constB75))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12981,plain,
% 13.17/9.22 (v118(constB75) | v121(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12980, 12979])).
% 13.17/9.22 tff(12982,plain,
% 13.17/9.22 ((~(v117(constB75) <=> (v118(constB75) | v121(constB75)))) | v117(constB75) | (~(v118(constB75) | v121(constB75)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12983,plain,
% 13.17/9.22 (v117(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12982, 12981, 5025])).
% 13.17/9.22 tff(12984,plain,
% 13.17/9.22 ((v117(constB75) | v122(constB75)) | (~v117(constB75))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12985,plain,
% 13.17/9.22 (v117(constB75) | v122(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12984, 12983])).
% 13.17/9.22 tff(12986,plain,
% 13.17/9.22 ((~(v116(constB75) <=> (v117(constB75) | v122(constB75)))) | v116(constB75) | (~(v117(constB75) | v122(constB75)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12987,plain,
% 13.17/9.22 (v116(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12986, 12985, 5023])).
% 13.17/9.22 tff(12988,plain,
% 13.17/9.22 ((v116(constB75) | v123(constB75)) | (~v116(constB75))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12989,plain,
% 13.17/9.22 (v116(constB75) | v123(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12988, 12987])).
% 13.17/9.22 tff(12990,plain,
% 13.17/9.22 ((~(v115(constB75) <=> (v116(constB75) | v123(constB75)))) | v115(constB75) | (~(v116(constB75) | v123(constB75)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12991,plain,
% 13.17/9.22 (v115(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12990, 12989, 5021])).
% 13.17/9.22 tff(12992,plain,
% 13.17/9.22 ((v115(constB75) | v124(constB75)) | (~v115(constB75))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12993,plain,
% 13.17/9.22 (v115(constB75) | v124(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12992, 12991])).
% 13.17/9.22 tff(12994,plain,
% 13.17/9.22 ((~(v114(constB75) <=> (v115(constB75) | v124(constB75)))) | v114(constB75) | (~(v115(constB75) | v124(constB75)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12995,plain,
% 13.17/9.22 (v114(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12994, 12993, 5019])).
% 13.17/9.22 tff(12996,plain,
% 13.17/9.22 ((v114(constB75) | v125(constB75)) | (~v114(constB75))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12997,plain,
% 13.17/9.22 (v114(constB75) | v125(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12996, 12995])).
% 13.17/9.22 tff(12998,plain,
% 13.17/9.22 ((~(v113(constB75) <=> (v114(constB75) | v125(constB75)))) | v113(constB75) | (~(v114(constB75) | v125(constB75)))),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(12999,plain,
% 13.17/9.22 (v113(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[12998, 12997, 5017])).
% 13.17/9.22 tff(13000,plain,
% 13.17/9.22 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB75)) <=> v111(constB75))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(13001,plain,
% 13.17/9.22 ((~v126(constB75)) <=> v111(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13000, 1345])).
% 13.17/9.22 tff(13002,plain,
% 13.17/9.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(13003,plain,
% 13.17/9.22 (v111(constB75) <=> v26(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13002, 1357])).
% 13.17/9.22 tff(13004,plain,
% 13.17/9.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 13.17/9.22 inference(quant_inst,[status(thm)],[])).
% 13.17/9.22 tff(13005,plain,
% 13.17/9.22 (~v26(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13004, 1369])).
% 13.17/9.22 tff(13006,plain,
% 13.17/9.22 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(13007,plain,
% 13.17/9.22 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13006, 13005])).
% 13.17/9.22 tff(13008,plain,
% 13.17/9.22 (~v111(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13007, 13003])).
% 13.17/9.22 tff(13009,plain,
% 13.17/9.22 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75) | v111(constB75)),
% 13.17/9.22 inference(tautology,[status(thm)],[])).
% 13.17/9.22 tff(13010,plain,
% 13.17/9.22 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13009, 13008])).
% 13.17/9.22 tff(13011,plain,
% 13.17/9.22 (v126(constB75)),
% 13.17/9.22 inference(unit_resolution,[status(thm)],[13010, 13001])).
% 13.17/9.23 tff(13012,plain,
% 13.17/9.23 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75)) | (~v126(constB75))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13013,plain,
% 13.17/9.23 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13012, 13011])).
% 13.17/9.23 tff(13014,plain,
% 13.17/9.23 (~((~v113(constB75)) | (~v126(constB75)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13013, 12999])).
% 13.17/9.23 tff(13015,plain,
% 13.17/9.23 ((~(v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))) | v112(constB75) | ((~v113(constB75)) | (~v126(constB75)))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13016,plain,
% 13.17/9.23 (v112(constB75)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13015, 13014, 5015])).
% 13.17/9.23 tff(13017,plain,
% 13.17/9.23 ((v111(constB75) | v112(constB75)) | (~v112(constB75))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13018,plain,
% 13.17/9.23 (v111(constB75) | v112(constB75)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13017, 13016])).
% 13.17/9.23 tff(13019,plain,
% 13.17/9.23 ((~(v108(constB75) <=> (v111(constB75) | v112(constB75)))) | v108(constB75) | (~(v111(constB75) | v112(constB75)))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13020,plain,
% 13.17/9.23 (v108(constB75)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13019, 13018, 5013])).
% 13.17/9.23 tff(13021,plain,
% 13.17/9.23 ((~(v110(constB76) <=> v108(constB75))) | v110(constB76) | (~v108(constB75))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13022,plain,
% 13.17/9.23 (v110(constB76)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13021, 13020, 5011])).
% 13.17/9.23 tff(13023,plain,
% 13.17/9.23 ((~((~v101(constB76)) | (~v110(constB76)))) | (~v101(constB76)) | (~v110(constB76))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13024,plain,
% 13.17/9.23 (~((~v101(constB76)) | (~v110(constB76)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13023, 13022, 5007])).
% 13.17/9.23 tff(13025,plain,
% 13.17/9.23 ((~(v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))) | v100(constB76) | ((~v101(constB76)) | (~v110(constB76)))),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13026,plain,
% 13.17/9.23 (v100(constB76)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13025, 13024, 4976])).
% 13.17/9.23 tff(13027,plain,
% 13.17/9.23 (((~![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))))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13028,plain,
% 13.17/9.23 ((~![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))))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13029,plain,
% 13.17/9.23 ((~![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)))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13028, 13027])).
% 13.17/9.23 tff(13030,plain,
% 13.17/9.23 ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13029, 1405])).
% 13.17/9.23 tff(13031,plain,
% 13.17/9.23 (![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13030, 13026])).
% 13.17/9.23 tff(13032,plain,
% 13.17/9.23 (((~![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)))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13033,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13034,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 13.17/9.23 tff(13035,plain,
% 13.17/9.23 (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13034, 579, 13031])).
% 13.17/9.23 tff(13036,plain,
% 13.17/9.23 (((~![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))))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13037,plain,
% 13.17/9.23 ((~![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))))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13038,plain,
% 13.17/9.23 ((~![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)))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 13.17/9.23 tff(13039,plain,
% 13.17/9.23 (![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13038, 4972, 1427])).
% 13.17/9.23 tff(13040,plain,
% 13.17/9.23 (((~![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)))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13041,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13042,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13041, 13040])).
% 13.17/9.23 tff(13043,plain,
% 13.17/9.23 (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13042, 579, 13039])).
% 13.17/9.23 tff(13044,plain,
% 13.17/9.23 (((~![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))))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13045,plain,
% 13.17/9.23 ((~![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))))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13046,plain,
% 13.17/9.23 ((~![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)))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13045, 13044])).
% 13.17/9.23 tff(13047,plain,
% 13.17/9.23 (![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13046, 1448, 13008])).
% 13.17/9.23 tff(13048,plain,
% 13.17/9.23 (((~![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)))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13049,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13050,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 13.17/9.23 tff(13051,plain,
% 13.17/9.23 (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13050, 579, 13047])).
% 13.17/9.23 tff(13052,plain,
% 13.17/9.23 (((~![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))))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13053,plain,
% 13.17/9.23 ((~![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))))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13054,plain,
% 13.17/9.23 ((~![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)))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13053, 13052])).
% 13.17/9.23 tff(13055,plain,
% 13.17/9.23 ((~v120(constB75)) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13054, 1652])).
% 13.17/9.23 tff(13056,plain,
% 13.17/9.23 (![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13055, 12975])).
% 13.17/9.23 tff(13057,plain,
% 13.17/9.23 (((~![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)))),
% 13.17/9.23 inference(rewrite,[status(thm)],[])).
% 13.17/9.23 tff(13058,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b010(bitIndex2)))),
% 13.17/9.23 inference(quant_inst,[status(thm)],[])).
% 13.17/9.23 tff(13059,plain,
% 13.17/9.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b010(bitIndex2))),
% 13.17/9.23 inference(modus_ponens,[status(thm)],[13058, 13057])).
% 13.17/9.23 tff(13060,plain,
% 13.17/9.23 (v130(constB75, bitIndex2) <=> b010(bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13059, 579, 13056])).
% 13.17/9.23 tff(13061,plain,
% 13.17/9.23 ((~(v130(constB75, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB75, bitIndex2)) | b010(bitIndex2)),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13062,plain,
% 13.17/9.23 ((~(v130(constB75, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB75, bitIndex2))),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13061, 1664])).
% 13.17/9.23 tff(13063,plain,
% 13.17/9.23 (~v130(constB75, bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13062, 13060])).
% 13.17/9.23 tff(13064,plain,
% 13.17/9.23 ((~(v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2))) | (~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13065,plain,
% 13.17/9.23 (~v127(constB75, bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13064, 13063, 13051])).
% 13.17/9.23 tff(13066,plain,
% 13.17/9.23 ((~(v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2))) | (~v129(constB76, bitIndex2)) | v127(constB75, bitIndex2)),
% 13.17/9.23 inference(tautology,[status(thm)],[])).
% 13.17/9.23 tff(13067,plain,
% 13.17/9.23 (~v129(constB76, bitIndex2)),
% 13.17/9.23 inference(unit_resolution,[status(thm)],[13066, 13065, 13043])).
% 13.17/9.23 tff(13068,plain,
% 13.17/9.23 ((~(v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2)),
% 13.21/9.23 inference(tautology,[status(thm)],[])).
% 13.21/9.23 tff(13069,plain,
% 13.21/9.23 (~v90(constB76, bitIndex2)),
% 13.21/9.23 inference(unit_resolution,[status(thm)],[13068, 13067, 13035])).
% 13.21/9.23 tff(13070,plain,
% 13.21/9.23 ((~(v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2))) | (~v90(constB77, bitIndex2)) | v90(constB76, bitIndex2)),
% 13.21/9.23 inference(tautology,[status(thm)],[])).
% 13.21/9.23 tff(13071,plain,
% 13.21/9.23 (~v90(constB77, bitIndex2)),
% 13.21/9.23 inference(unit_resolution,[status(thm)],[13070, 13069, 4969])).
% 13.21/9.23 tff(13072,plain,
% 13.21/9.23 (((~![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)))),
% 13.21/9.23 inference(rewrite,[status(thm)],[])).
% 13.21/9.23 tff(13073,plain,
% 13.21/9.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13074,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13073, 13072])).
% 13.21/9.24 tff(13075,plain,
% 13.21/9.24 (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13074, 1275, 4965])).
% 13.21/9.24 tff(13076,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13077,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13078,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13077, 13076])).
% 13.21/9.24 tff(13079,plain,
% 13.21/9.24 (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13078, 1275, 13031])).
% 13.21/9.24 tff(13080,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13081,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13082,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 13.21/9.24 tff(13083,plain,
% 13.21/9.24 (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13082, 1275, 13039])).
% 13.21/9.24 tff(13084,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13085,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13086,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 13.21/9.24 tff(13087,plain,
% 13.21/9.24 (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13086, 1275, 13047])).
% 13.21/9.24 tff(13088,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13089,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b010(bitIndex0)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13090,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b010(bitIndex0))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 13.21/9.24 tff(13091,plain,
% 13.21/9.24 (v130(constB75, bitIndex0) <=> b010(bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13090, 1275, 13056])).
% 13.21/9.24 tff(13092,plain,
% 13.21/9.24 ((~(v130(constB75, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB75, bitIndex0)) | b010(bitIndex0)),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13093,plain,
% 13.21/9.24 ((~(v130(constB75, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB75, bitIndex0))),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13092, 1698])).
% 13.21/9.24 tff(13094,plain,
% 13.21/9.24 (~v130(constB75, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13093, 13091])).
% 13.21/9.24 tff(13095,plain,
% 13.21/9.24 ((~(v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0))) | (~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13096,plain,
% 13.21/9.24 (~v127(constB75, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13095, 13094, 13087])).
% 13.21/9.24 tff(13097,plain,
% 13.21/9.24 ((~(v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0))) | (~v129(constB76, bitIndex0)) | v127(constB75, bitIndex0)),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13098,plain,
% 13.21/9.24 (~v129(constB76, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13097, 13096, 13083])).
% 13.21/9.24 tff(13099,plain,
% 13.21/9.24 ((~(v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0)),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13100,plain,
% 13.21/9.24 (~v90(constB76, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13099, 13098, 13079])).
% 13.21/9.24 tff(13101,plain,
% 13.21/9.24 ((~(v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0))) | (~v90(constB77, bitIndex0)) | v90(constB76, bitIndex0)),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13102,plain,
% 13.21/9.24 (~v90(constB77, bitIndex0)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13101, 13100, 13075])).
% 13.21/9.24 tff(13103,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13104,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13105,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13104, 13103])).
% 13.21/9.24 tff(13106,plain,
% 13.21/9.24 (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13105, 1288, 4965])).
% 13.21/9.24 tff(13107,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13108,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13109,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13108, 13107])).
% 13.21/9.24 tff(13110,plain,
% 13.21/9.24 (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13109, 1288, 13031])).
% 13.21/9.24 tff(13111,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13112,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13113,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13112, 13111])).
% 13.21/9.24 tff(13114,plain,
% 13.21/9.24 (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13113, 1288, 13039])).
% 13.21/9.24 tff(13115,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13116,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13117,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 13.21/9.24 tff(13118,plain,
% 13.21/9.24 (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13117, 1288, 13047])).
% 13.21/9.24 tff(13119,plain,
% 13.21/9.24 (((~![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)))),
% 13.21/9.24 inference(rewrite,[status(thm)],[])).
% 13.21/9.24 tff(13120,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b010(bitIndex1)))),
% 13.21/9.24 inference(quant_inst,[status(thm)],[])).
% 13.21/9.24 tff(13121,plain,
% 13.21/9.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b010(bitIndex1))),
% 13.21/9.24 inference(modus_ponens,[status(thm)],[13120, 13119])).
% 13.21/9.24 tff(13122,plain,
% 13.21/9.24 (v130(constB75, bitIndex1) <=> b010(bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13121, 1288, 13056])).
% 13.21/9.24 tff(13123,plain,
% 13.21/9.24 ((~(v130(constB75, bitIndex1) <=> b010(bitIndex1))) | v130(constB75, bitIndex1) | (~b010(bitIndex1))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13124,plain,
% 13.21/9.24 ((~(v130(constB75, bitIndex1) <=> b010(bitIndex1))) | v130(constB75, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13123, 1732])).
% 13.21/9.24 tff(13125,plain,
% 13.21/9.24 (v130(constB75, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13124, 13122])).
% 13.21/9.24 tff(13126,plain,
% 13.21/9.24 ((~(v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1))) | v127(constB75, bitIndex1) | (~v130(constB75, bitIndex1))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13127,plain,
% 13.21/9.24 (v127(constB75, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13126, 13125, 13118])).
% 13.21/9.24 tff(13128,plain,
% 13.21/9.24 ((~(v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1))) | v129(constB76, bitIndex1) | (~v127(constB75, bitIndex1))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13129,plain,
% 13.21/9.24 (v129(constB76, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13128, 13127, 13114])).
% 13.21/9.24 tff(13130,plain,
% 13.21/9.24 ((~(v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13131,plain,
% 13.21/9.24 (v90(constB76, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13130, 13129, 13110])).
% 13.21/9.24 tff(13132,plain,
% 13.21/9.24 ((~(v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1))) | v90(constB77, bitIndex1) | (~v90(constB76, bitIndex1))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13133,plain,
% 13.21/9.24 (v90(constB77, bitIndex1)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13132, 13131, 13106])).
% 13.21/9.24 tff(13134,plain,
% 13.21/9.24 ((~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13135,plain,
% 13.21/9.24 (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13134, 13133, 13102, 13071])).
% 13.21/9.24 tff(13136,plain,
% 13.21/9.24 ((~(v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))) | v121(constB77) | (v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13137,plain,
% 13.21/9.24 (v121(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13136, 13135, 4937])).
% 13.21/9.24 tff(13138,plain,
% 13.21/9.24 ((v118(constB77) | v121(constB77)) | (~v121(constB77))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13139,plain,
% 13.21/9.24 (v118(constB77) | v121(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13138, 13137])).
% 13.21/9.24 tff(13140,plain,
% 13.21/9.24 ((~(v117(constB77) <=> (v118(constB77) | v121(constB77)))) | v117(constB77) | (~(v118(constB77) | v121(constB77)))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13141,plain,
% 13.21/9.24 (v117(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13140, 13139, 4930])).
% 13.21/9.24 tff(13142,plain,
% 13.21/9.24 ((v117(constB77) | v122(constB77)) | (~v117(constB77))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13143,plain,
% 13.21/9.24 (v117(constB77) | v122(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13142, 13141])).
% 13.21/9.24 tff(13144,plain,
% 13.21/9.24 ((~(v116(constB77) <=> (v117(constB77) | v122(constB77)))) | v116(constB77) | (~(v117(constB77) | v122(constB77)))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13145,plain,
% 13.21/9.24 (v116(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13144, 13143, 4928])).
% 13.21/9.24 tff(13146,plain,
% 13.21/9.24 ((v116(constB77) | v123(constB77)) | (~v116(constB77))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13147,plain,
% 13.21/9.24 (v116(constB77) | v123(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13146, 13145])).
% 13.21/9.24 tff(13148,plain,
% 13.21/9.24 ((~(v115(constB77) <=> (v116(constB77) | v123(constB77)))) | v115(constB77) | (~(v116(constB77) | v123(constB77)))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13149,plain,
% 13.21/9.24 (v115(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13148, 13147, 4926])).
% 13.21/9.24 tff(13150,plain,
% 13.21/9.24 ((v115(constB77) | v124(constB77)) | (~v115(constB77))),
% 13.21/9.24 inference(tautology,[status(thm)],[])).
% 13.21/9.24 tff(13151,plain,
% 13.21/9.24 (v115(constB77) | v124(constB77)),
% 13.21/9.24 inference(unit_resolution,[status(thm)],[13150, 13149])).
% 13.21/9.24 tff(13152,plain,
% 13.21/9.24 ((~(v114(constB77) <=> (v115(constB77) | v124(constB77)))) | v114(constB77) | (~(v115(constB77) | v124(constB77)))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13153,plain,
% 13.21/9.25 (v114(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13152, 13151, 4924])).
% 13.21/9.25 tff(13154,plain,
% 13.21/9.25 ((v114(constB77) | v125(constB77)) | (~v114(constB77))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13155,plain,
% 13.21/9.25 (v114(constB77) | v125(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13154, 13153])).
% 13.21/9.25 tff(13156,plain,
% 13.21/9.25 ((~(v113(constB77) <=> (v114(constB77) | v125(constB77)))) | v113(constB77) | (~(v114(constB77) | v125(constB77)))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13157,plain,
% 13.21/9.25 (v113(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13156, 13155, 4922])).
% 13.21/9.25 tff(13158,plain,
% 13.21/9.25 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB77)) <=> v111(constB77))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13159,plain,
% 13.21/9.25 ((~v126(constB77)) <=> v111(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13158, 1345])).
% 13.21/9.25 tff(13160,plain,
% 13.21/9.25 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13161,plain,
% 13.21/9.25 (v111(constB77) <=> v26(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13160, 1357])).
% 13.21/9.25 tff(13162,plain,
% 13.21/9.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13163,plain,
% 13.21/9.25 (~v26(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13162, 1369])).
% 13.21/9.25 tff(13164,plain,
% 13.21/9.25 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13165,plain,
% 13.21/9.25 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13164, 13163])).
% 13.21/9.25 tff(13166,plain,
% 13.21/9.25 (~v111(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13165, 13161])).
% 13.21/9.25 tff(13167,plain,
% 13.21/9.25 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77) | v111(constB77)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13168,plain,
% 13.21/9.25 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13167, 13166])).
% 13.21/9.25 tff(13169,plain,
% 13.21/9.25 (v126(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13168, 13159])).
% 13.21/9.25 tff(13170,plain,
% 13.21/9.25 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77)) | (~v126(constB77))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13171,plain,
% 13.21/9.25 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13170, 13169])).
% 13.21/9.25 tff(13172,plain,
% 13.21/9.25 (~((~v113(constB77)) | (~v126(constB77)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13171, 13157])).
% 13.21/9.25 tff(13173,plain,
% 13.21/9.25 ((~(v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))) | v112(constB77) | ((~v113(constB77)) | (~v126(constB77)))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13174,plain,
% 13.21/9.25 (v112(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13173, 13172, 4920])).
% 13.21/9.25 tff(13175,plain,
% 13.21/9.25 ((v111(constB77) | v112(constB77)) | (~v112(constB77))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13176,plain,
% 13.21/9.25 (v111(constB77) | v112(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13175, 13174])).
% 13.21/9.25 tff(13177,plain,
% 13.21/9.25 ((~(v108(constB77) <=> (v111(constB77) | v112(constB77)))) | v108(constB77) | (~(v111(constB77) | v112(constB77)))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13178,plain,
% 13.21/9.25 (v108(constB77)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13177, 13176, 4918])).
% 13.21/9.25 tff(13179,plain,
% 13.21/9.25 ((~(v110(constB78) <=> v108(constB77))) | v110(constB78) | (~v108(constB77))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13180,plain,
% 13.21/9.25 (v110(constB78)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13179, 13178, 4916])).
% 13.21/9.25 tff(13181,plain,
% 13.21/9.25 ((~((~v101(constB78)) | (~v110(constB78)))) | (~v101(constB78)) | (~v110(constB78))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13182,plain,
% 13.21/9.25 (~((~v101(constB78)) | (~v110(constB78)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13181, 13180, 4912])).
% 13.21/9.25 tff(13183,plain,
% 13.21/9.25 ((~(v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))) | v100(constB78) | ((~v101(constB78)) | (~v110(constB78)))),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13184,plain,
% 13.21/9.25 (v100(constB78)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13183, 13182, 4881])).
% 13.21/9.25 tff(13185,plain,
% 13.21/9.25 (((~![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))))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13186,plain,
% 13.21/9.25 ((~![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))))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13187,plain,
% 13.21/9.25 ((~![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)))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 13.21/9.25 tff(13188,plain,
% 13.21/9.25 ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13187, 1405])).
% 13.21/9.25 tff(13189,plain,
% 13.21/9.25 (![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13188, 13184])).
% 13.21/9.25 tff(13190,plain,
% 13.21/9.25 (((~![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)))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13191,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13192,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13191, 13190])).
% 13.21/9.25 tff(13193,plain,
% 13.21/9.25 (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13192, 579, 13189])).
% 13.21/9.25 tff(13194,plain,
% 13.21/9.25 (((~![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))))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13195,plain,
% 13.21/9.25 ((~![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))))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13196,plain,
% 13.21/9.25 ((~![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)))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13195, 13194])).
% 13.21/9.25 tff(13197,plain,
% 13.21/9.25 (![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13196, 4877, 1427])).
% 13.21/9.25 tff(13198,plain,
% 13.21/9.25 (((~![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)))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13199,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13200,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13199, 13198])).
% 13.21/9.25 tff(13201,plain,
% 13.21/9.25 (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13200, 579, 13197])).
% 13.21/9.25 tff(13202,plain,
% 13.21/9.25 (((~![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))))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13203,plain,
% 13.21/9.25 ((~![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))))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13204,plain,
% 13.21/9.25 ((~![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)))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 13.21/9.25 tff(13205,plain,
% 13.21/9.25 (![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13204, 1448, 13166])).
% 13.21/9.25 tff(13206,plain,
% 13.21/9.25 (((~![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)))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13207,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13208,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 13.21/9.25 tff(13209,plain,
% 13.21/9.25 (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13208, 579, 13205])).
% 13.21/9.25 tff(13210,plain,
% 13.21/9.25 (((~![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))))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13211,plain,
% 13.21/9.25 ((~![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))))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13212,plain,
% 13.21/9.25 ((~![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)))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13211, 13210])).
% 13.21/9.25 tff(13213,plain,
% 13.21/9.25 ((~v121(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13212, 1832])).
% 13.21/9.25 tff(13214,plain,
% 13.21/9.25 (![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13213, 13137])).
% 13.21/9.25 tff(13215,plain,
% 13.21/9.25 (((~![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)))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13216,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b011(bitIndex2)))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13217,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b011(bitIndex2))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 13.21/9.25 tff(13218,plain,
% 13.21/9.25 (v130(constB77, bitIndex2) <=> b011(bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13217, 579, 13214])).
% 13.21/9.25 tff(13219,plain,
% 13.21/9.25 ((~(v130(constB77, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB77, bitIndex2)) | b011(bitIndex2)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13220,plain,
% 13.21/9.25 ((~(v130(constB77, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB77, bitIndex2))),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13219, 1844])).
% 13.21/9.25 tff(13221,plain,
% 13.21/9.25 (~v130(constB77, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13220, 13218])).
% 13.21/9.25 tff(13222,plain,
% 13.21/9.25 ((~(v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2))) | (~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13223,plain,
% 13.21/9.25 (~v127(constB77, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13222, 13221, 13209])).
% 13.21/9.25 tff(13224,plain,
% 13.21/9.25 ((~(v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2))) | (~v129(constB78, bitIndex2)) | v127(constB77, bitIndex2)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13225,plain,
% 13.21/9.25 (~v129(constB78, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13224, 13223, 13201])).
% 13.21/9.25 tff(13226,plain,
% 13.21/9.25 ((~(v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13227,plain,
% 13.21/9.25 (~v90(constB78, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13226, 13225, 13193])).
% 13.21/9.25 tff(13228,plain,
% 13.21/9.25 ((~(v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2))) | (~v90(constB79, bitIndex2)) | v90(constB78, bitIndex2)),
% 13.21/9.25 inference(tautology,[status(thm)],[])).
% 13.21/9.25 tff(13229,plain,
% 13.21/9.25 (~v90(constB79, bitIndex2)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13228, 13227, 4874])).
% 13.21/9.25 tff(13230,plain,
% 13.21/9.25 (((~![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)))),
% 13.21/9.25 inference(rewrite,[status(thm)],[])).
% 13.21/9.25 tff(13231,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))),
% 13.21/9.25 inference(quant_inst,[status(thm)],[])).
% 13.21/9.25 tff(13232,plain,
% 13.21/9.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0))),
% 13.21/9.25 inference(modus_ponens,[status(thm)],[13231, 13230])).
% 13.21/9.25 tff(13233,plain,
% 13.21/9.25 (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)),
% 13.21/9.25 inference(unit_resolution,[status(thm)],[13232, 1275, 4870])).
% 13.21/9.25 tff(13234,plain,
% 13.21/9.25 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13235,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13236,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13235, 13234])).
% 13.21/9.26 tff(13237,plain,
% 13.21/9.26 (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13236, 1275, 13189])).
% 13.21/9.26 tff(13238,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13239,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13240,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13239, 13238])).
% 13.21/9.26 tff(13241,plain,
% 13.21/9.26 (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13240, 1275, 13197])).
% 13.21/9.26 tff(13242,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13243,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13244,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 13.21/9.26 tff(13245,plain,
% 13.21/9.26 (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13244, 1275, 13205])).
% 13.21/9.26 tff(13246,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13247,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b011(bitIndex0)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13248,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b011(bitIndex0))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13247, 13246])).
% 13.21/9.26 tff(13249,plain,
% 13.21/9.26 (v130(constB77, bitIndex0) <=> b011(bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13248, 1275, 13214])).
% 13.21/9.26 tff(13250,plain,
% 13.21/9.26 ((~(v130(constB77, bitIndex0) <=> b011(bitIndex0))) | v130(constB77, bitIndex0) | (~b011(bitIndex0))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13251,plain,
% 13.21/9.26 ((~(v130(constB77, bitIndex0) <=> b011(bitIndex0))) | v130(constB77, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13250, 1878])).
% 13.21/9.26 tff(13252,plain,
% 13.21/9.26 (v130(constB77, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13251, 13249])).
% 13.21/9.26 tff(13253,plain,
% 13.21/9.26 ((~(v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0))) | v127(constB77, bitIndex0) | (~v130(constB77, bitIndex0))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13254,plain,
% 13.21/9.26 (v127(constB77, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13253, 13252, 13245])).
% 13.21/9.26 tff(13255,plain,
% 13.21/9.26 ((~(v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0))) | v129(constB78, bitIndex0) | (~v127(constB77, bitIndex0))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13256,plain,
% 13.21/9.26 (v129(constB78, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13255, 13254, 13241])).
% 13.21/9.26 tff(13257,plain,
% 13.21/9.26 ((~(v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13258,plain,
% 13.21/9.26 (v90(constB78, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13257, 13256, 13237])).
% 13.21/9.26 tff(13259,plain,
% 13.21/9.26 ((~(v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0))) | v90(constB79, bitIndex0) | (~v90(constB78, bitIndex0))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13260,plain,
% 13.21/9.26 (v90(constB79, bitIndex0)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13259, 13258, 13233])).
% 13.21/9.26 tff(13261,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13262,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13263,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13262, 13261])).
% 13.21/9.26 tff(13264,plain,
% 13.21/9.26 (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13263, 1288, 4870])).
% 13.21/9.26 tff(13265,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13266,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13267,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13266, 13265])).
% 13.21/9.26 tff(13268,plain,
% 13.21/9.26 (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13267, 1288, 13189])).
% 13.21/9.26 tff(13269,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13270,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13271,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 13.21/9.26 tff(13272,plain,
% 13.21/9.26 (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13271, 1288, 13197])).
% 13.21/9.26 tff(13273,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13274,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13275,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 13.21/9.26 tff(13276,plain,
% 13.21/9.26 (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13275, 1288, 13205])).
% 13.21/9.26 tff(13277,plain,
% 13.21/9.26 (((~![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)))),
% 13.21/9.26 inference(rewrite,[status(thm)],[])).
% 13.21/9.26 tff(13278,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b011(bitIndex1)))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13279,plain,
% 13.21/9.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b011(bitIndex1))),
% 13.21/9.26 inference(modus_ponens,[status(thm)],[13278, 13277])).
% 13.21/9.26 tff(13280,plain,
% 13.21/9.26 (v130(constB77, bitIndex1) <=> b011(bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13279, 1288, 13214])).
% 13.21/9.26 tff(13281,plain,
% 13.21/9.26 ((~(v130(constB77, bitIndex1) <=> b011(bitIndex1))) | v130(constB77, bitIndex1) | (~b011(bitIndex1))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13282,plain,
% 13.21/9.26 ((~(v130(constB77, bitIndex1) <=> b011(bitIndex1))) | v130(constB77, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13281, 1912])).
% 13.21/9.26 tff(13283,plain,
% 13.21/9.26 (v130(constB77, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13282, 13280])).
% 13.21/9.26 tff(13284,plain,
% 13.21/9.26 ((~(v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1))) | v127(constB77, bitIndex1) | (~v130(constB77, bitIndex1))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13285,plain,
% 13.21/9.26 (v127(constB77, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13284, 13283, 13276])).
% 13.21/9.26 tff(13286,plain,
% 13.21/9.26 ((~(v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1))) | v129(constB78, bitIndex1) | (~v127(constB77, bitIndex1))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13287,plain,
% 13.21/9.26 (v129(constB78, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13286, 13285, 13272])).
% 13.21/9.26 tff(13288,plain,
% 13.21/9.26 ((~(v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13289,plain,
% 13.21/9.26 (v90(constB78, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13288, 13287, 13268])).
% 13.21/9.26 tff(13290,plain,
% 13.21/9.26 ((~(v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1))) | v90(constB79, bitIndex1) | (~v90(constB78, bitIndex1))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13291,plain,
% 13.21/9.26 (v90(constB79, bitIndex1)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13290, 13289, 13264])).
% 13.21/9.26 tff(13292,plain,
% 13.21/9.26 ((~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13293,plain,
% 13.21/9.26 (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13292, 13291, 13260, 13229])).
% 13.21/9.26 tff(13294,plain,
% 13.21/9.26 ((~(v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))) | v122(constB79) | (v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13295,plain,
% 13.21/9.26 (v122(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13294, 13293, 4842])).
% 13.21/9.26 tff(13296,plain,
% 13.21/9.26 ((v117(constB79) | v122(constB79)) | (~v122(constB79))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13297,plain,
% 13.21/9.26 (v117(constB79) | v122(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13296, 13295])).
% 13.21/9.26 tff(13298,plain,
% 13.21/9.26 ((~(v116(constB79) <=> (v117(constB79) | v122(constB79)))) | v116(constB79) | (~(v117(constB79) | v122(constB79)))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13299,plain,
% 13.21/9.26 (v116(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13298, 13297, 4835])).
% 13.21/9.26 tff(13300,plain,
% 13.21/9.26 ((v116(constB79) | v123(constB79)) | (~v116(constB79))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13301,plain,
% 13.21/9.26 (v116(constB79) | v123(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13300, 13299])).
% 13.21/9.26 tff(13302,plain,
% 13.21/9.26 ((~(v115(constB79) <=> (v116(constB79) | v123(constB79)))) | v115(constB79) | (~(v116(constB79) | v123(constB79)))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13303,plain,
% 13.21/9.26 (v115(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13302, 13301, 4833])).
% 13.21/9.26 tff(13304,plain,
% 13.21/9.26 ((v115(constB79) | v124(constB79)) | (~v115(constB79))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13305,plain,
% 13.21/9.26 (v115(constB79) | v124(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13304, 13303])).
% 13.21/9.26 tff(13306,plain,
% 13.21/9.26 ((~(v114(constB79) <=> (v115(constB79) | v124(constB79)))) | v114(constB79) | (~(v115(constB79) | v124(constB79)))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13307,plain,
% 13.21/9.26 (v114(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13306, 13305, 4831])).
% 13.21/9.26 tff(13308,plain,
% 13.21/9.26 ((v114(constB79) | v125(constB79)) | (~v114(constB79))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13309,plain,
% 13.21/9.26 (v114(constB79) | v125(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13308, 13307])).
% 13.21/9.26 tff(13310,plain,
% 13.21/9.26 ((~(v113(constB79) <=> (v114(constB79) | v125(constB79)))) | v113(constB79) | (~(v114(constB79) | v125(constB79)))),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13311,plain,
% 13.21/9.26 (v113(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13310, 13309, 4829])).
% 13.21/9.26 tff(13312,plain,
% 13.21/9.26 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB79)) <=> v111(constB79))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13313,plain,
% 13.21/9.26 ((~v126(constB79)) <=> v111(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13312, 1345])).
% 13.21/9.26 tff(13314,plain,
% 13.21/9.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB79) <=> v26(constB79))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13315,plain,
% 13.21/9.26 (v111(constB79) <=> v26(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13314, 1357])).
% 13.21/9.26 tff(13316,plain,
% 13.21/9.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 13.21/9.26 inference(quant_inst,[status(thm)],[])).
% 13.21/9.26 tff(13317,plain,
% 13.21/9.26 (~v26(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13316, 1369])).
% 13.21/9.26 tff(13318,plain,
% 13.21/9.26 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79)) | v26(constB79)),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13319,plain,
% 13.21/9.26 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79))),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13318, 13317])).
% 13.21/9.26 tff(13320,plain,
% 13.21/9.26 (~v111(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13319, 13315])).
% 13.21/9.26 tff(13321,plain,
% 13.21/9.26 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79) | v111(constB79)),
% 13.21/9.26 inference(tautology,[status(thm)],[])).
% 13.21/9.26 tff(13322,plain,
% 13.21/9.26 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13321, 13320])).
% 13.21/9.26 tff(13323,plain,
% 13.21/9.26 (v126(constB79)),
% 13.21/9.26 inference(unit_resolution,[status(thm)],[13322, 13313])).
% 13.21/9.26 tff(13324,plain,
% 13.21/9.27 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79)) | (~v126(constB79))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13325,plain,
% 13.21/9.27 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13324, 13323])).
% 13.21/9.27 tff(13326,plain,
% 13.21/9.27 (~((~v113(constB79)) | (~v126(constB79)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13325, 13311])).
% 13.21/9.27 tff(13327,plain,
% 13.21/9.27 ((~(v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))) | v112(constB79) | ((~v113(constB79)) | (~v126(constB79)))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13328,plain,
% 13.21/9.27 (v112(constB79)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13327, 13326, 4827])).
% 13.21/9.27 tff(13329,plain,
% 13.21/9.27 ((v111(constB79) | v112(constB79)) | (~v112(constB79))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13330,plain,
% 13.21/9.27 (v111(constB79) | v112(constB79)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13329, 13328])).
% 13.21/9.27 tff(13331,plain,
% 13.21/9.27 ((~(v108(constB79) <=> (v111(constB79) | v112(constB79)))) | v108(constB79) | (~(v111(constB79) | v112(constB79)))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13332,plain,
% 13.21/9.27 (v108(constB79)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13331, 13330, 4825])).
% 13.21/9.27 tff(13333,plain,
% 13.21/9.27 ((~(v110(constB80) <=> v108(constB79))) | v110(constB80) | (~v108(constB79))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13334,plain,
% 13.21/9.27 (v110(constB80)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13333, 13332, 4823])).
% 13.21/9.27 tff(13335,plain,
% 13.21/9.27 ((~((~v101(constB80)) | (~v110(constB80)))) | (~v101(constB80)) | (~v110(constB80))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13336,plain,
% 13.21/9.27 (~((~v101(constB80)) | (~v110(constB80)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13335, 13334, 4819])).
% 13.21/9.27 tff(13337,plain,
% 13.21/9.27 ((~(v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))) | v100(constB80) | ((~v101(constB80)) | (~v110(constB80)))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13338,plain,
% 13.21/9.27 (v100(constB80)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13337, 13336, 4788])).
% 13.21/9.27 tff(13339,plain,
% 13.21/9.27 (((~![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))))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13340,plain,
% 13.21/9.27 ((~![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))))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13341,plain,
% 13.21/9.27 ((~![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)))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 13.21/9.27 tff(13342,plain,
% 13.21/9.27 ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13341, 1405])).
% 13.21/9.27 tff(13343,plain,
% 13.21/9.27 (![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13342, 13338])).
% 13.21/9.27 tff(13344,plain,
% 13.21/9.27 (((~![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)))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13345,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13346,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13345, 13344])).
% 13.21/9.27 tff(13347,plain,
% 13.21/9.27 (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13346, 579, 13343])).
% 13.21/9.27 tff(13348,plain,
% 13.21/9.27 (((~![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))))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13349,plain,
% 13.21/9.27 ((~![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))))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13350,plain,
% 13.21/9.27 ((~![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)))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 13.21/9.27 tff(13351,plain,
% 13.21/9.27 (![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13350, 4784, 1427])).
% 13.21/9.27 tff(13352,plain,
% 13.21/9.27 (((~![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)))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13353,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13354,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13353, 13352])).
% 13.21/9.27 tff(13355,plain,
% 13.21/9.27 (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13354, 579, 13351])).
% 13.21/9.27 tff(13356,plain,
% 13.21/9.27 (((~![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))))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13357,plain,
% 13.21/9.27 ((~![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))))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13358,plain,
% 13.21/9.27 ((~![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)))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 13.21/9.27 tff(13359,plain,
% 13.21/9.27 (![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13358, 1448, 13320])).
% 13.21/9.27 tff(13360,plain,
% 13.21/9.27 (((~![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)))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13361,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13362,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 13.21/9.27 tff(13363,plain,
% 13.21/9.27 (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13362, 579, 13359])).
% 13.21/9.27 tff(13364,plain,
% 13.21/9.27 (((~![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))))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13365,plain,
% 13.21/9.27 ((~![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))))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13366,plain,
% 13.21/9.27 ((~![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)))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 13.21/9.27 tff(13367,plain,
% 13.21/9.27 ((~v122(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13366, 2008])).
% 13.21/9.27 tff(13368,plain,
% 13.21/9.27 (![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13367, 13295])).
% 13.21/9.27 tff(13369,plain,
% 13.21/9.27 (((~![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)))),
% 13.21/9.27 inference(rewrite,[status(thm)],[])).
% 13.21/9.27 tff(13370,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b100(bitIndex2)))),
% 13.21/9.27 inference(quant_inst,[status(thm)],[])).
% 13.21/9.27 tff(13371,plain,
% 13.21/9.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b100(bitIndex2))),
% 13.21/9.27 inference(modus_ponens,[status(thm)],[13370, 13369])).
% 13.21/9.27 tff(13372,plain,
% 13.21/9.27 (v130(constB79, bitIndex2) <=> b100(bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13371, 579, 13368])).
% 13.21/9.27 tff(13373,plain,
% 13.21/9.27 ((~(v130(constB79, bitIndex2) <=> b100(bitIndex2))) | v130(constB79, bitIndex2) | (~b100(bitIndex2))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13374,plain,
% 13.21/9.27 ((~(v130(constB79, bitIndex2) <=> b100(bitIndex2))) | v130(constB79, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13373, 2020])).
% 13.21/9.27 tff(13375,plain,
% 13.21/9.27 (v130(constB79, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13374, 13372])).
% 13.21/9.27 tff(13376,plain,
% 13.21/9.27 ((~(v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2))) | v127(constB79, bitIndex2) | (~v130(constB79, bitIndex2))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13377,plain,
% 13.21/9.27 (v127(constB79, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13376, 13375, 13363])).
% 13.21/9.27 tff(13378,plain,
% 13.21/9.27 ((~(v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2))) | v129(constB80, bitIndex2) | (~v127(constB79, bitIndex2))),
% 13.21/9.27 inference(tautology,[status(thm)],[])).
% 13.21/9.27 tff(13379,plain,
% 13.21/9.27 (v129(constB80, bitIndex2)),
% 13.21/9.27 inference(unit_resolution,[status(thm)],[13378, 13377, 13355])).
% 13.21/9.27 tff(13380,plain,
% 13.21/9.27 ((~(v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13381,plain,
% 13.21/9.28 (v90(constB80, bitIndex2)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13380, 13379, 13347])).
% 13.21/9.28 tff(13382,plain,
% 13.21/9.28 ((~(v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2))) | v90(constB81, bitIndex2) | (~v90(constB80, bitIndex2))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13383,plain,
% 13.21/9.28 (v90(constB81, bitIndex2)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13382, 13381, 4781])).
% 13.21/9.28 tff(13384,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13385,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13386,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 13.21/9.28 tff(13387,plain,
% 13.21/9.28 (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13386, 1275, 4777])).
% 13.21/9.28 tff(13388,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13389,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13390,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13389, 13388])).
% 13.21/9.28 tff(13391,plain,
% 13.21/9.28 (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13390, 1275, 13343])).
% 13.21/9.28 tff(13392,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13393,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13394,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 13.21/9.28 tff(13395,plain,
% 13.21/9.28 (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13394, 1275, 13351])).
% 13.21/9.28 tff(13396,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13397,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13398,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13397, 13396])).
% 13.21/9.28 tff(13399,plain,
% 13.21/9.28 (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13398, 1275, 13359])).
% 13.21/9.28 tff(13400,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13401,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b100(bitIndex0)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13402,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b100(bitIndex0))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13401, 13400])).
% 13.21/9.28 tff(13403,plain,
% 13.21/9.28 (v130(constB79, bitIndex0) <=> b100(bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13402, 1275, 13368])).
% 13.21/9.28 tff(13404,plain,
% 13.21/9.28 ((~(v130(constB79, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB79, bitIndex0)) | b100(bitIndex0)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13405,plain,
% 13.21/9.28 ((~(v130(constB79, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB79, bitIndex0))),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13404, 2054])).
% 13.21/9.28 tff(13406,plain,
% 13.21/9.28 (~v130(constB79, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13405, 13403])).
% 13.21/9.28 tff(13407,plain,
% 13.21/9.28 ((~(v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0))) | (~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13408,plain,
% 13.21/9.28 (~v127(constB79, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13407, 13406, 13399])).
% 13.21/9.28 tff(13409,plain,
% 13.21/9.28 ((~(v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0))) | (~v129(constB80, bitIndex0)) | v127(constB79, bitIndex0)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13410,plain,
% 13.21/9.28 (~v129(constB80, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13409, 13408, 13395])).
% 13.21/9.28 tff(13411,plain,
% 13.21/9.28 ((~(v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13412,plain,
% 13.21/9.28 (~v90(constB80, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13411, 13410, 13391])).
% 13.21/9.28 tff(13413,plain,
% 13.21/9.28 ((~(v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0))) | (~v90(constB81, bitIndex0)) | v90(constB80, bitIndex0)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13414,plain,
% 13.21/9.28 (~v90(constB81, bitIndex0)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13413, 13412, 13387])).
% 13.21/9.28 tff(13415,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13416,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13417,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 13.21/9.28 tff(13418,plain,
% 13.21/9.28 (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13417, 1288, 4777])).
% 13.21/9.28 tff(13419,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13420,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13421,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 13.21/9.28 tff(13422,plain,
% 13.21/9.28 (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13421, 1288, 13343])).
% 13.21/9.28 tff(13423,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13424,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13425,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 13.21/9.28 tff(13426,plain,
% 13.21/9.28 (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13425, 1288, 13351])).
% 13.21/9.28 tff(13427,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13428,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13429,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13428, 13427])).
% 13.21/9.28 tff(13430,plain,
% 13.21/9.28 (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13429, 1288, 13359])).
% 13.21/9.28 tff(13431,plain,
% 13.21/9.28 (((~![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)))),
% 13.21/9.28 inference(rewrite,[status(thm)],[])).
% 13.21/9.28 tff(13432,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b100(bitIndex1)))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13433,plain,
% 13.21/9.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b100(bitIndex1))),
% 13.21/9.28 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 13.21/9.28 tff(13434,plain,
% 13.21/9.28 (v130(constB79, bitIndex1) <=> b100(bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13433, 1288, 13368])).
% 13.21/9.28 tff(13435,plain,
% 13.21/9.28 ((~(v130(constB79, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB79, bitIndex1)) | b100(bitIndex1)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13436,plain,
% 13.21/9.28 ((~(v130(constB79, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB79, bitIndex1))),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13435, 2088])).
% 13.21/9.28 tff(13437,plain,
% 13.21/9.28 (~v130(constB79, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13436, 13434])).
% 13.21/9.28 tff(13438,plain,
% 13.21/9.28 ((~(v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1))) | (~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13439,plain,
% 13.21/9.28 (~v127(constB79, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13438, 13437, 13430])).
% 13.21/9.28 tff(13440,plain,
% 13.21/9.28 ((~(v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1))) | (~v129(constB80, bitIndex1)) | v127(constB79, bitIndex1)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13441,plain,
% 13.21/9.28 (~v129(constB80, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13440, 13439, 13426])).
% 13.21/9.28 tff(13442,plain,
% 13.21/9.28 ((~(v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13443,plain,
% 13.21/9.28 (~v90(constB80, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13442, 13441, 13422])).
% 13.21/9.28 tff(13444,plain,
% 13.21/9.28 ((~(v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1))) | (~v90(constB81, bitIndex1)) | v90(constB80, bitIndex1)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13445,plain,
% 13.21/9.28 (~v90(constB81, bitIndex1)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13444, 13443, 13418])).
% 13.21/9.28 tff(13446,plain,
% 13.21/9.28 ((~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))) | (~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13447,plain,
% 13.21/9.28 (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13446, 13445, 13414, 13383])).
% 13.21/9.28 tff(13448,plain,
% 13.21/9.28 ((~(v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))) | v123(constB81) | ((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13449,plain,
% 13.21/9.28 (v123(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13448, 13447, 4749])).
% 13.21/9.28 tff(13450,plain,
% 13.21/9.28 ((v116(constB81) | v123(constB81)) | (~v123(constB81))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13451,plain,
% 13.21/9.28 (v116(constB81) | v123(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13450, 13449])).
% 13.21/9.28 tff(13452,plain,
% 13.21/9.28 ((~(v115(constB81) <=> (v116(constB81) | v123(constB81)))) | v115(constB81) | (~(v116(constB81) | v123(constB81)))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13453,plain,
% 13.21/9.28 (v115(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13452, 13451, 4742])).
% 13.21/9.28 tff(13454,plain,
% 13.21/9.28 ((v115(constB81) | v124(constB81)) | (~v115(constB81))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13455,plain,
% 13.21/9.28 (v115(constB81) | v124(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13454, 13453])).
% 13.21/9.28 tff(13456,plain,
% 13.21/9.28 ((~(v114(constB81) <=> (v115(constB81) | v124(constB81)))) | v114(constB81) | (~(v115(constB81) | v124(constB81)))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13457,plain,
% 13.21/9.28 (v114(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13456, 13455, 4740])).
% 13.21/9.28 tff(13458,plain,
% 13.21/9.28 ((v114(constB81) | v125(constB81)) | (~v114(constB81))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13459,plain,
% 13.21/9.28 (v114(constB81) | v125(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13458, 13457])).
% 13.21/9.28 tff(13460,plain,
% 13.21/9.28 ((~(v113(constB81) <=> (v114(constB81) | v125(constB81)))) | v113(constB81) | (~(v114(constB81) | v125(constB81)))),
% 13.21/9.28 inference(tautology,[status(thm)],[])).
% 13.21/9.28 tff(13461,plain,
% 13.21/9.28 (v113(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13460, 13459, 4738])).
% 13.21/9.28 tff(13462,plain,
% 13.21/9.28 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB81)) <=> v111(constB81))),
% 13.21/9.28 inference(quant_inst,[status(thm)],[])).
% 13.21/9.28 tff(13463,plain,
% 13.21/9.28 ((~v126(constB81)) <=> v111(constB81)),
% 13.21/9.28 inference(unit_resolution,[status(thm)],[13462, 1345])).
% 13.21/9.28 tff(13464,plain,
% 13.21/9.28 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB81) <=> v26(constB81))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13465,plain,
% 13.21/9.29 (v111(constB81) <=> v26(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13464, 1357])).
% 13.21/9.29 tff(13466,plain,
% 13.21/9.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13467,plain,
% 13.21/9.29 (~v26(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13466, 1369])).
% 13.21/9.29 tff(13468,plain,
% 13.21/9.29 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81)) | v26(constB81)),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13469,plain,
% 13.21/9.29 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13468, 13467])).
% 13.21/9.29 tff(13470,plain,
% 13.21/9.29 (~v111(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13469, 13465])).
% 13.21/9.29 tff(13471,plain,
% 13.21/9.29 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81) | v111(constB81)),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13472,plain,
% 13.21/9.29 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13471, 13470])).
% 13.21/9.29 tff(13473,plain,
% 13.21/9.29 (v126(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13472, 13463])).
% 13.21/9.29 tff(13474,plain,
% 13.21/9.29 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81)) | (~v126(constB81))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13475,plain,
% 13.21/9.29 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13474, 13473])).
% 13.21/9.29 tff(13476,plain,
% 13.21/9.29 (~((~v113(constB81)) | (~v126(constB81)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13475, 13461])).
% 13.21/9.29 tff(13477,plain,
% 13.21/9.29 ((~(v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))) | v112(constB81) | ((~v113(constB81)) | (~v126(constB81)))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13478,plain,
% 13.21/9.29 (v112(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13477, 13476, 4736])).
% 13.21/9.29 tff(13479,plain,
% 13.21/9.29 ((v111(constB81) | v112(constB81)) | (~v112(constB81))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13480,plain,
% 13.21/9.29 (v111(constB81) | v112(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13479, 13478])).
% 13.21/9.29 tff(13481,plain,
% 13.21/9.29 ((~(v108(constB81) <=> (v111(constB81) | v112(constB81)))) | v108(constB81) | (~(v111(constB81) | v112(constB81)))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13482,plain,
% 13.21/9.29 (v108(constB81)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13481, 13480, 4734])).
% 13.21/9.29 tff(13483,plain,
% 13.21/9.29 ((~(v110(constB82) <=> v108(constB81))) | v110(constB82) | (~v108(constB81))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13484,plain,
% 13.21/9.29 (v110(constB82)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13483, 13482, 4732])).
% 13.21/9.29 tff(13485,plain,
% 13.21/9.29 ((~((~v101(constB82)) | (~v110(constB82)))) | (~v101(constB82)) | (~v110(constB82))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13486,plain,
% 13.21/9.29 (~((~v101(constB82)) | (~v110(constB82)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13485, 13484, 4728])).
% 13.21/9.29 tff(13487,plain,
% 13.21/9.29 ((~(v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))) | v100(constB82) | ((~v101(constB82)) | (~v110(constB82)))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13488,plain,
% 13.21/9.29 (v100(constB82)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13487, 13486, 4697])).
% 13.21/9.29 tff(13489,plain,
% 13.21/9.29 (((~![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))))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13490,plain,
% 13.21/9.29 ((~![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))))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13491,plain,
% 13.21/9.29 ((~![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)))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13490, 13489])).
% 13.21/9.29 tff(13492,plain,
% 13.21/9.29 ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13491, 1405])).
% 13.21/9.29 tff(13493,plain,
% 13.21/9.29 (![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13492, 13488])).
% 13.21/9.29 tff(13494,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13495,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13496,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13495, 13494])).
% 13.21/9.29 tff(13497,plain,
% 13.21/9.29 (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13496, 579, 13493])).
% 13.21/9.29 tff(13498,plain,
% 13.21/9.29 (((~![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))))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13499,plain,
% 13.21/9.29 ((~![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))))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13500,plain,
% 13.21/9.29 ((~![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)))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 13.21/9.29 tff(13501,plain,
% 13.21/9.29 (![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13500, 4693, 1427])).
% 13.21/9.29 tff(13502,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13503,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13504,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 13.21/9.29 tff(13505,plain,
% 13.21/9.29 (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13504, 579, 13501])).
% 13.21/9.29 tff(13506,plain,
% 13.21/9.29 (((~![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))))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13507,plain,
% 13.21/9.29 ((~![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))))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13508,plain,
% 13.21/9.29 ((~![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)))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 13.21/9.29 tff(13509,plain,
% 13.21/9.29 (![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13508, 1448, 13470])).
% 13.21/9.29 tff(13510,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13511,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13512,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 13.21/9.29 tff(13513,plain,
% 13.21/9.29 (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13512, 579, 13509])).
% 13.21/9.29 tff(13514,plain,
% 13.21/9.29 (((~![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))))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13515,plain,
% 13.21/9.29 ((~![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))))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13516,plain,
% 13.21/9.29 ((~![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)))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 13.21/9.29 tff(13517,plain,
% 13.21/9.29 ((~v123(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13516, 2180])).
% 13.21/9.29 tff(13518,plain,
% 13.21/9.29 (![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13517, 13449])).
% 13.21/9.29 tff(13519,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13520,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b101(bitIndex2)))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13521,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b101(bitIndex2))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13520, 13519])).
% 13.21/9.29 tff(13522,plain,
% 13.21/9.29 (v130(constB81, bitIndex2) <=> b101(bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13521, 579, 13518])).
% 13.21/9.29 tff(13523,plain,
% 13.21/9.29 ((~(v130(constB81, bitIndex2) <=> b101(bitIndex2))) | v130(constB81, bitIndex2) | (~b101(bitIndex2))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13524,plain,
% 13.21/9.29 ((~(v130(constB81, bitIndex2) <=> b101(bitIndex2))) | v130(constB81, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13523, 2192])).
% 13.21/9.29 tff(13525,plain,
% 13.21/9.29 (v130(constB81, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13524, 13522])).
% 13.21/9.29 tff(13526,plain,
% 13.21/9.29 ((~(v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2))) | v127(constB81, bitIndex2) | (~v130(constB81, bitIndex2))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13527,plain,
% 13.21/9.29 (v127(constB81, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13526, 13525, 13513])).
% 13.21/9.29 tff(13528,plain,
% 13.21/9.29 ((~(v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2))) | v129(constB82, bitIndex2) | (~v127(constB81, bitIndex2))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13529,plain,
% 13.21/9.29 (v129(constB82, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13528, 13527, 13505])).
% 13.21/9.29 tff(13530,plain,
% 13.21/9.29 ((~(v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13531,plain,
% 13.21/9.29 (v90(constB82, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13530, 13529, 13497])).
% 13.21/9.29 tff(13532,plain,
% 13.21/9.29 ((~(v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2))) | v90(constB83, bitIndex2) | (~v90(constB82, bitIndex2))),
% 13.21/9.29 inference(tautology,[status(thm)],[])).
% 13.21/9.29 tff(13533,plain,
% 13.21/9.29 (v90(constB83, bitIndex2)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13532, 13531, 4690])).
% 13.21/9.29 tff(13534,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13535,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13536,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13535, 13534])).
% 13.21/9.29 tff(13537,plain,
% 13.21/9.29 (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13536, 1275, 4686])).
% 13.21/9.29 tff(13538,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.29 tff(13539,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))),
% 13.21/9.29 inference(quant_inst,[status(thm)],[])).
% 13.21/9.29 tff(13540,plain,
% 13.21/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0))),
% 13.21/9.29 inference(modus_ponens,[status(thm)],[13539, 13538])).
% 13.21/9.29 tff(13541,plain,
% 13.21/9.29 (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)),
% 13.21/9.29 inference(unit_resolution,[status(thm)],[13540, 1275, 13493])).
% 13.21/9.29 tff(13542,plain,
% 13.21/9.29 (((~![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)))),
% 13.21/9.29 inference(rewrite,[status(thm)],[])).
% 13.21/9.30 tff(13543,plain,
% 13.21/9.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))),
% 13.21/9.30 inference(quant_inst,[status(thm)],[])).
% 13.21/9.30 tff(13544,plain,
% 13.21/9.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0))),
% 13.21/9.30 inference(modus_ponens,[status(thm)],[13543, 13542])).
% 13.21/9.30 tff(13545,plain,
% 13.21/9.30 (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13544, 1275, 13501])).
% 13.21/9.30 tff(13546,plain,
% 13.21/9.30 (((~![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)))),
% 13.21/9.30 inference(rewrite,[status(thm)],[])).
% 13.21/9.30 tff(13547,plain,
% 13.21/9.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))),
% 13.21/9.30 inference(quant_inst,[status(thm)],[])).
% 13.21/9.30 tff(13548,plain,
% 13.21/9.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0))),
% 13.21/9.30 inference(modus_ponens,[status(thm)],[13547, 13546])).
% 13.21/9.30 tff(13549,plain,
% 13.21/9.30 (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13548, 1275, 13509])).
% 13.21/9.30 tff(13550,plain,
% 13.21/9.30 (((~![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)))),
% 13.21/9.30 inference(rewrite,[status(thm)],[])).
% 13.21/9.30 tff(13551,plain,
% 13.21/9.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b101(bitIndex0)))),
% 13.21/9.30 inference(quant_inst,[status(thm)],[])).
% 13.21/9.30 tff(13552,plain,
% 13.21/9.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b101(bitIndex0))),
% 13.21/9.30 inference(modus_ponens,[status(thm)],[13551, 13550])).
% 13.21/9.30 tff(13553,plain,
% 13.21/9.30 (v130(constB81, bitIndex0) <=> b101(bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13552, 1275, 13518])).
% 13.21/9.30 tff(13554,plain,
% 13.21/9.30 ((~(v130(constB81, bitIndex0) <=> b101(bitIndex0))) | v130(constB81, bitIndex0) | (~b101(bitIndex0))),
% 13.21/9.30 inference(tautology,[status(thm)],[])).
% 13.21/9.30 tff(13555,plain,
% 13.21/9.30 ((~(v130(constB81, bitIndex0) <=> b101(bitIndex0))) | v130(constB81, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13554, 2351])).
% 13.21/9.30 tff(13556,plain,
% 13.21/9.30 (v130(constB81, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13555, 13553])).
% 13.21/9.30 tff(13557,plain,
% 13.21/9.30 ((~(v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0))) | v127(constB81, bitIndex0) | (~v130(constB81, bitIndex0))),
% 13.21/9.30 inference(tautology,[status(thm)],[])).
% 13.21/9.30 tff(13558,plain,
% 13.21/9.30 (v127(constB81, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13557, 13556, 13549])).
% 13.21/9.30 tff(13559,plain,
% 13.21/9.30 ((~(v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0))) | v129(constB82, bitIndex0) | (~v127(constB81, bitIndex0))),
% 13.21/9.30 inference(tautology,[status(thm)],[])).
% 13.21/9.30 tff(13560,plain,
% 13.21/9.30 (v129(constB82, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13559, 13558, 13545])).
% 13.21/9.30 tff(13561,plain,
% 13.21/9.30 ((~(v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0))),
% 13.21/9.30 inference(tautology,[status(thm)],[])).
% 13.21/9.30 tff(13562,plain,
% 13.21/9.30 (v90(constB82, bitIndex0)),
% 13.21/9.30 inference(unit_resolution,[status(thm)],[13561, 13560, 13541])).
% 13.21/9.30 tff(13563,plain,
% 13.21/9.30 ((~(v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0))) | v90(constB83, bitIndex0) | (~v90(constB82, bitIndex0))),
% 13.21/9.30 inference(tautology,[status(thm)],[])).
% 13.28/9.31 tff(13564,plain,
% 13.28/9.31 (v90(constB83, bitIndex0)),
% 13.28/9.31 inference(unit_resolution,[status(thm)],[13563, 13562, 13537])).
% 13.28/9.31 tff(13565,plain,
% 13.28/9.31 (((~![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)))),
% 13.28/9.31 inference(rewrite,[status(thm)],[])).
% 13.28/9.31 tff(13566,plain,
% 13.28/9.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))),
% 13.28/9.31 inference(quant_inst,[status(thm)],[])).
% 13.28/9.31 tff(13567,plain,
% 13.28/9.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1))),
% 13.28/9.31 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 13.28/9.31 tff(13568,plain,
% 13.28/9.31 (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)),
% 13.28/9.31 inference(unit_resolution,[status(thm)],[13567, 1288, 4686])).
% 13.28/9.31 tff(13569,plain,
% 13.28/9.31 (((~![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)))),
% 13.28/9.31 inference(rewrite,[status(thm)],[])).
% 13.28/9.31 tff(13570,plain,
% 13.28/9.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))),
% 13.28/9.31 inference(quant_inst,[status(thm)],[])).
% 13.28/9.31 tff(13571,plain,
% 13.28/9.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1))),
% 13.28/9.31 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 13.28/9.31 tff(13572,plain,
% 13.28/9.31 (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)),
% 13.28/9.31 inference(unit_resolution,[status(thm)],[13571, 1288, 13493])).
% 13.28/9.32 tff(13573,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13574,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13575,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 13.28/9.32 tff(13576,plain,
% 13.28/9.32 (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13575, 1288, 13501])).
% 13.28/9.32 tff(13577,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13578,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13579,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 13.28/9.32 tff(13580,plain,
% 13.28/9.32 (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13579, 1288, 13509])).
% 13.28/9.32 tff(13581,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13582,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b101(bitIndex1)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13583,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b101(bitIndex1))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 13.28/9.32 tff(13584,plain,
% 13.28/9.32 (v130(constB81, bitIndex1) <=> b101(bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13583, 1288, 13518])).
% 13.28/9.32 tff(13585,plain,
% 13.28/9.32 ((~(v130(constB81, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB81, bitIndex1)) | b101(bitIndex1)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13586,plain,
% 13.28/9.32 ((~(v130(constB81, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB81, bitIndex1))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13585, 2391])).
% 13.28/9.32 tff(13587,plain,
% 13.28/9.32 (~v130(constB81, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13586, 13584])).
% 13.28/9.32 tff(13588,plain,
% 13.28/9.32 ((~(v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1))) | (~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13589,plain,
% 13.28/9.32 (~v127(constB81, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13588, 13587, 13580])).
% 13.28/9.32 tff(13590,plain,
% 13.28/9.32 ((~(v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1))) | (~v129(constB82, bitIndex1)) | v127(constB81, bitIndex1)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13591,plain,
% 13.28/9.32 (~v129(constB82, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13590, 13589, 13576])).
% 13.28/9.32 tff(13592,plain,
% 13.28/9.32 ((~(v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13593,plain,
% 13.28/9.32 (~v90(constB82, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13592, 13591, 13572])).
% 13.28/9.32 tff(13594,plain,
% 13.28/9.32 ((~(v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1))) | (~v90(constB83, bitIndex1)) | v90(constB82, bitIndex1)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13595,plain,
% 13.28/9.32 (~v90(constB83, bitIndex1)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13594, 13593, 13568])).
% 13.28/9.32 tff(13596,plain,
% 13.28/9.32 ((~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))) | (~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13597,plain,
% 13.28/9.32 (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13596, 13595, 13564, 13533])).
% 13.28/9.32 tff(13598,plain,
% 13.28/9.32 ((~(v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))) | v124(constB83) | ((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13599,plain,
% 13.28/9.32 (v124(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13598, 13597, 4658])).
% 13.28/9.32 tff(13600,plain,
% 13.28/9.32 ((v115(constB83) | v124(constB83)) | (~v124(constB83))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13601,plain,
% 13.28/9.32 (v115(constB83) | v124(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13600, 13599])).
% 13.28/9.32 tff(13602,plain,
% 13.28/9.32 ((~(v114(constB83) <=> (v115(constB83) | v124(constB83)))) | v114(constB83) | (~(v115(constB83) | v124(constB83)))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13603,plain,
% 13.28/9.32 (v114(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13602, 13601, 4651])).
% 13.28/9.32 tff(13604,plain,
% 13.28/9.32 ((v114(constB83) | v125(constB83)) | (~v114(constB83))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13605,plain,
% 13.28/9.32 (v114(constB83) | v125(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13604, 13603])).
% 13.28/9.32 tff(13606,plain,
% 13.28/9.32 ((~(v113(constB83) <=> (v114(constB83) | v125(constB83)))) | v113(constB83) | (~(v114(constB83) | v125(constB83)))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13607,plain,
% 13.28/9.32 (v113(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13606, 13605, 4649])).
% 13.28/9.32 tff(13608,plain,
% 13.28/9.32 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB83)) <=> v111(constB83))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13609,plain,
% 13.28/9.32 ((~v126(constB83)) <=> v111(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13608, 1345])).
% 13.28/9.32 tff(13610,plain,
% 13.28/9.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB83) <=> v26(constB83))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13611,plain,
% 13.28/9.32 (v111(constB83) <=> v26(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13610, 1357])).
% 13.28/9.32 tff(13612,plain,
% 13.28/9.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13613,plain,
% 13.28/9.32 (~v26(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13612, 1369])).
% 13.28/9.32 tff(13614,plain,
% 13.28/9.32 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83)) | v26(constB83)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13615,plain,
% 13.28/9.32 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13614, 13613])).
% 13.28/9.32 tff(13616,plain,
% 13.28/9.32 (~v111(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13615, 13611])).
% 13.28/9.32 tff(13617,plain,
% 13.28/9.32 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83) | v111(constB83)),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13618,plain,
% 13.28/9.32 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13617, 13616])).
% 13.28/9.32 tff(13619,plain,
% 13.28/9.32 (v126(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13618, 13609])).
% 13.28/9.32 tff(13620,plain,
% 13.28/9.32 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83)) | (~v126(constB83))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13621,plain,
% 13.28/9.32 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13620, 13619])).
% 13.28/9.32 tff(13622,plain,
% 13.28/9.32 (~((~v113(constB83)) | (~v126(constB83)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13621, 13607])).
% 13.28/9.32 tff(13623,plain,
% 13.28/9.32 ((~(v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))) | v112(constB83) | ((~v113(constB83)) | (~v126(constB83)))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13624,plain,
% 13.28/9.32 (v112(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13623, 13622, 4647])).
% 13.28/9.32 tff(13625,plain,
% 13.28/9.32 ((v111(constB83) | v112(constB83)) | (~v112(constB83))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13626,plain,
% 13.28/9.32 (v111(constB83) | v112(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13625, 13624])).
% 13.28/9.32 tff(13627,plain,
% 13.28/9.32 ((~(v108(constB83) <=> (v111(constB83) | v112(constB83)))) | v108(constB83) | (~(v111(constB83) | v112(constB83)))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13628,plain,
% 13.28/9.32 (v108(constB83)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13627, 13626, 4645])).
% 13.28/9.32 tff(13629,plain,
% 13.28/9.32 ((~(v110(constB84) <=> v108(constB83))) | v110(constB84) | (~v108(constB83))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13630,plain,
% 13.28/9.32 (v110(constB84)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13629, 13628, 4643])).
% 13.28/9.32 tff(13631,plain,
% 13.28/9.32 ((~((~v101(constB84)) | (~v110(constB84)))) | (~v101(constB84)) | (~v110(constB84))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13632,plain,
% 13.28/9.32 (~((~v101(constB84)) | (~v110(constB84)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13631, 13630, 4639])).
% 13.28/9.32 tff(13633,plain,
% 13.28/9.32 ((~(v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))) | v100(constB84) | ((~v101(constB84)) | (~v110(constB84)))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13634,plain,
% 13.28/9.32 (v100(constB84)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13633, 13632, 4608])).
% 13.28/9.32 tff(13635,plain,
% 13.28/9.32 (((~![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))))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13636,plain,
% 13.28/9.32 ((~![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))))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13637,plain,
% 13.28/9.32 ((~![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)))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13636, 13635])).
% 13.28/9.32 tff(13638,plain,
% 13.28/9.32 ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13637, 1405])).
% 13.28/9.32 tff(13639,plain,
% 13.28/9.32 (![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13638, 13634])).
% 13.28/9.32 tff(13640,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13641,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13642,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 13.28/9.32 tff(13643,plain,
% 13.28/9.32 (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13642, 579, 13639])).
% 13.28/9.32 tff(13644,plain,
% 13.28/9.32 (((~![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))))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13645,plain,
% 13.28/9.32 ((~![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))))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13646,plain,
% 13.28/9.32 ((~![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)))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 13.28/9.32 tff(13647,plain,
% 13.28/9.32 (![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13646, 4604, 1427])).
% 13.28/9.32 tff(13648,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13649,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13650,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13649, 13648])).
% 13.28/9.32 tff(13651,plain,
% 13.28/9.32 (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13650, 579, 13647])).
% 13.28/9.32 tff(13652,plain,
% 13.28/9.32 (((~![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))))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13653,plain,
% 13.28/9.32 ((~![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))))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13654,plain,
% 13.28/9.32 ((~![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)))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 13.28/9.32 tff(13655,plain,
% 13.28/9.32 (![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13654, 1448, 13616])).
% 13.28/9.32 tff(13656,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13657,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13658,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 13.28/9.32 tff(13659,plain,
% 13.28/9.32 (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13658, 579, 13655])).
% 13.28/9.32 tff(13660,plain,
% 13.28/9.32 (((~![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))))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13661,plain,
% 13.28/9.32 ((~![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))))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13662,plain,
% 13.28/9.32 ((~![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)))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 13.28/9.32 tff(13663,plain,
% 13.28/9.32 ((~v124(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13662, 2735])).
% 13.28/9.32 tff(13664,plain,
% 13.28/9.32 (![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13663, 13599])).
% 13.28/9.32 tff(13665,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13666,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13667,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 13.28/9.32 tff(13668,plain,
% 13.28/9.32 (v130(constB83, bitIndex2) <=> b110(bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13667, 579, 13664])).
% 13.28/9.32 tff(13669,plain,
% 13.28/9.32 ((~(v130(constB83, bitIndex2) <=> b110(bitIndex2))) | v130(constB83, bitIndex2) | (~b110(bitIndex2))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13670,plain,
% 13.28/9.32 ((~(v130(constB83, bitIndex2) <=> b110(bitIndex2))) | v130(constB83, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13669, 2747])).
% 13.28/9.32 tff(13671,plain,
% 13.28/9.32 (v130(constB83, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13670, 13668])).
% 13.28/9.32 tff(13672,plain,
% 13.28/9.32 ((~(v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2))) | v127(constB83, bitIndex2) | (~v130(constB83, bitIndex2))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13673,plain,
% 13.28/9.32 (v127(constB83, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13672, 13671, 13659])).
% 13.28/9.32 tff(13674,plain,
% 13.28/9.32 ((~(v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2))) | v129(constB84, bitIndex2) | (~v127(constB83, bitIndex2))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13675,plain,
% 13.28/9.32 (v129(constB84, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13674, 13673, 13651])).
% 13.28/9.32 tff(13676,plain,
% 13.28/9.32 ((~(v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13677,plain,
% 13.28/9.32 (v90(constB84, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13676, 13675, 13643])).
% 13.28/9.32 tff(13678,plain,
% 13.28/9.32 ((~(v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2))) | v90(constB85, bitIndex2) | (~v90(constB84, bitIndex2))),
% 13.28/9.32 inference(tautology,[status(thm)],[])).
% 13.28/9.32 tff(13679,plain,
% 13.28/9.32 (v90(constB85, bitIndex2)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13678, 13677, 4601])).
% 13.28/9.32 tff(13680,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13681,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13682,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0))),
% 13.28/9.32 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 13.28/9.32 tff(13683,plain,
% 13.28/9.32 (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)),
% 13.28/9.32 inference(unit_resolution,[status(thm)],[13682, 1275, 4597])).
% 13.28/9.32 tff(13684,plain,
% 13.28/9.32 (((~![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)))),
% 13.28/9.32 inference(rewrite,[status(thm)],[])).
% 13.28/9.32 tff(13685,plain,
% 13.28/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))),
% 13.28/9.32 inference(quant_inst,[status(thm)],[])).
% 13.28/9.32 tff(13686,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 13.28/9.33 tff(13687,plain,
% 13.28/9.33 (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13686, 1275, 13639])).
% 13.28/9.33 tff(13688,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13689,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13690,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 13.28/9.33 tff(13691,plain,
% 13.28/9.33 (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13690, 1275, 13647])).
% 13.28/9.33 tff(13692,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13693,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13694,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13693, 13692])).
% 13.28/9.33 tff(13695,plain,
% 13.28/9.33 (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13694, 1275, 13655])).
% 13.28/9.33 tff(13696,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13697,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13698,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13697, 13696])).
% 13.28/9.33 tff(13699,plain,
% 13.28/9.33 (v130(constB83, bitIndex0) <=> b110(bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13698, 1275, 13664])).
% 13.28/9.33 tff(13700,plain,
% 13.28/9.33 ((~(v130(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB83, bitIndex0)) | b110(bitIndex0)),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13701,plain,
% 13.28/9.33 ((~(v130(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB83, bitIndex0))),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13700, 2862])).
% 13.28/9.33 tff(13702,plain,
% 13.28/9.33 (~v130(constB83, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13701, 13699])).
% 13.28/9.33 tff(13703,plain,
% 13.28/9.33 ((~(v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0))) | (~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13704,plain,
% 13.28/9.33 (~v127(constB83, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13703, 13702, 13695])).
% 13.28/9.33 tff(13705,plain,
% 13.28/9.33 ((~(v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0))) | (~v129(constB84, bitIndex0)) | v127(constB83, bitIndex0)),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13706,plain,
% 13.28/9.33 (~v129(constB84, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13705, 13704, 13691])).
% 13.28/9.33 tff(13707,plain,
% 13.28/9.33 ((~(v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0)),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13708,plain,
% 13.28/9.33 (~v90(constB84, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13707, 13706, 13687])).
% 13.28/9.33 tff(13709,plain,
% 13.28/9.33 ((~(v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0))) | (~v90(constB85, bitIndex0)) | v90(constB84, bitIndex0)),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13710,plain,
% 13.28/9.33 (~v90(constB85, bitIndex0)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13709, 13708, 13683])).
% 13.28/9.33 tff(13711,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13712,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13713,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13712, 13711])).
% 13.28/9.33 tff(13714,plain,
% 13.28/9.33 (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13713, 1288, 4597])).
% 13.28/9.33 tff(13715,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13716,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13717,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13716, 13715])).
% 13.28/9.33 tff(13718,plain,
% 13.28/9.33 (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13717, 1288, 13639])).
% 13.28/9.33 tff(13719,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13720,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13721,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13720, 13719])).
% 13.28/9.33 tff(13722,plain,
% 13.28/9.33 (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13721, 1288, 13647])).
% 13.28/9.33 tff(13723,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13724,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13725,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13724, 13723])).
% 13.28/9.33 tff(13726,plain,
% 13.28/9.33 (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13725, 1288, 13655])).
% 13.28/9.33 tff(13727,plain,
% 13.28/9.33 (((~![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)))),
% 13.28/9.33 inference(rewrite,[status(thm)],[])).
% 13.28/9.33 tff(13728,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 13.28/9.33 inference(quant_inst,[status(thm)],[])).
% 13.28/9.33 tff(13729,plain,
% 13.28/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1))),
% 13.28/9.33 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 13.28/9.33 tff(13730,plain,
% 13.28/9.33 (v130(constB83, bitIndex1) <=> b110(bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13729, 1288, 13664])).
% 13.28/9.33 tff(13731,plain,
% 13.28/9.33 ((~(v130(constB83, bitIndex1) <=> b110(bitIndex1))) | v130(constB83, bitIndex1) | (~b110(bitIndex1))),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13732,plain,
% 13.28/9.33 ((~(v130(constB83, bitIndex1) <=> b110(bitIndex1))) | v130(constB83, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13731, 2902])).
% 13.28/9.33 tff(13733,plain,
% 13.28/9.33 (v130(constB83, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13732, 13730])).
% 13.28/9.33 tff(13734,plain,
% 13.28/9.33 ((~(v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1))) | v127(constB83, bitIndex1) | (~v130(constB83, bitIndex1))),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13735,plain,
% 13.28/9.33 (v127(constB83, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13734, 13733, 13726])).
% 13.28/9.33 tff(13736,plain,
% 13.28/9.33 ((~(v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1))) | v129(constB84, bitIndex1) | (~v127(constB83, bitIndex1))),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13737,plain,
% 13.28/9.33 (v129(constB84, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13736, 13735, 13722])).
% 13.28/9.33 tff(13738,plain,
% 13.28/9.33 ((~(v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13739,plain,
% 13.28/9.33 (v90(constB84, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13738, 13737, 13718])).
% 13.28/9.33 tff(13740,plain,
% 13.28/9.33 ((~(v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1))) | v90(constB85, bitIndex1) | (~v90(constB84, bitIndex1))),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13741,plain,
% 13.28/9.33 (v90(constB85, bitIndex1)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13740, 13739, 13714])).
% 13.28/9.33 tff(13742,plain,
% 13.28/9.33 ((~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13743,plain,
% 13.28/9.33 (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13742, 13741, 13710, 13679])).
% 13.28/9.33 tff(13744,plain,
% 13.28/9.33 ((~(v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) | v125(constB85) | ((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))),
% 13.28/9.33 inference(tautology,[status(thm)],[])).
% 13.28/9.33 tff(13745,plain,
% 13.28/9.33 (v125(constB85)),
% 13.28/9.33 inference(unit_resolution,[status(thm)],[13744, 13743, 4569])).
% 13.28/9.34 tff(13746,plain,
% 13.28/9.34 ((v114(constB85) | v125(constB85)) | (~v125(constB85))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13747,plain,
% 13.28/9.34 (v114(constB85) | v125(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13746, 13745])).
% 13.28/9.34 tff(13748,plain,
% 13.28/9.34 ((~(v113(constB85) <=> (v114(constB85) | v125(constB85)))) | v113(constB85) | (~(v114(constB85) | v125(constB85)))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13749,plain,
% 13.28/9.34 (v113(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13748, 13747, 4562])).
% 13.28/9.34 tff(13750,plain,
% 13.28/9.34 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB85)) <=> v111(constB85))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13751,plain,
% 13.28/9.34 ((~v126(constB85)) <=> v111(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13750, 1345])).
% 13.28/9.34 tff(13752,plain,
% 13.28/9.34 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB85) <=> v26(constB85))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13753,plain,
% 13.28/9.34 (v111(constB85) <=> v26(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13752, 1357])).
% 13.28/9.34 tff(13754,plain,
% 13.28/9.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13755,plain,
% 13.28/9.34 (~v26(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13754, 1369])).
% 13.28/9.34 tff(13756,plain,
% 13.28/9.34 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85)) | v26(constB85)),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13757,plain,
% 13.28/9.34 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13756, 13755])).
% 13.28/9.34 tff(13758,plain,
% 13.28/9.34 (~v111(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13757, 13753])).
% 13.28/9.34 tff(13759,plain,
% 13.28/9.34 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85) | v111(constB85)),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13760,plain,
% 13.28/9.34 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13759, 13758])).
% 13.28/9.34 tff(13761,plain,
% 13.28/9.34 (v126(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13760, 13751])).
% 13.28/9.34 tff(13762,plain,
% 13.28/9.34 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85)) | (~v126(constB85))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13763,plain,
% 13.28/9.34 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13762, 13761])).
% 13.28/9.34 tff(13764,plain,
% 13.28/9.34 (~((~v113(constB85)) | (~v126(constB85)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13763, 13749])).
% 13.28/9.34 tff(13765,plain,
% 13.28/9.34 ((~(v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))) | v112(constB85) | ((~v113(constB85)) | (~v126(constB85)))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13766,plain,
% 13.28/9.34 (v112(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13765, 13764, 4560])).
% 13.28/9.34 tff(13767,plain,
% 13.28/9.34 ((v111(constB85) | v112(constB85)) | (~v112(constB85))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13768,plain,
% 13.28/9.34 (v111(constB85) | v112(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13767, 13766])).
% 13.28/9.34 tff(13769,plain,
% 13.28/9.34 ((~(v108(constB85) <=> (v111(constB85) | v112(constB85)))) | v108(constB85) | (~(v111(constB85) | v112(constB85)))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13770,plain,
% 13.28/9.34 (v108(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13769, 13768, 4558])).
% 13.28/9.34 tff(13771,plain,
% 13.28/9.34 ((~(v110(constB86) <=> v108(constB85))) | v110(constB86) | (~v108(constB85))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13772,plain,
% 13.28/9.34 (v110(constB86)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13771, 13770, 4556])).
% 13.28/9.34 tff(13773,plain,
% 13.28/9.34 ((~((~v101(constB86)) | (~v110(constB86)))) | (~v101(constB86)) | (~v110(constB86))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13774,plain,
% 13.28/9.34 (~((~v101(constB86)) | (~v110(constB86)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13773, 13772, 4552])).
% 13.28/9.34 tff(13775,plain,
% 13.28/9.34 ((~(v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))) | v100(constB86) | ((~v101(constB86)) | (~v110(constB86)))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13776,plain,
% 13.28/9.34 (v100(constB86)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13775, 13774, 4521])).
% 13.28/9.34 tff(13777,plain,
% 13.28/9.34 (((~![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))))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13778,plain,
% 13.28/9.34 ((~![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))))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13779,plain,
% 13.28/9.34 ((~![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)))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 13.28/9.34 tff(13780,plain,
% 13.28/9.34 ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13779, 1405])).
% 13.28/9.34 tff(13781,plain,
% 13.28/9.34 (![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13780, 13776])).
% 13.28/9.34 tff(13782,plain,
% 13.28/9.34 (((~![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)))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13783,plain,
% 13.28/9.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13784,plain,
% 13.28/9.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13783, 13782])).
% 13.28/9.34 tff(13785,plain,
% 13.28/9.34 (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13784, 579, 13781])).
% 13.28/9.34 tff(13786,plain,
% 13.28/9.34 (((~![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))))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13787,plain,
% 13.28/9.34 ((~![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))))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13788,plain,
% 13.28/9.34 ((~![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)))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 13.28/9.34 tff(13789,plain,
% 13.28/9.34 (![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13788, 4517, 1427])).
% 13.28/9.34 tff(13790,plain,
% 13.28/9.34 (((~![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)))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13791,plain,
% 13.28/9.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13792,plain,
% 13.28/9.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13791, 13790])).
% 13.28/9.34 tff(13793,plain,
% 13.28/9.34 (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13792, 579, 13789])).
% 13.28/9.34 tff(13794,plain,
% 13.28/9.34 (((~![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))))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13795,plain,
% 13.28/9.34 ((~![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))))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13796,plain,
% 13.28/9.34 ((~![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)))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13795, 13794])).
% 13.28/9.34 tff(13797,plain,
% 13.28/9.34 (![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13796, 1448, 13758])).
% 13.28/9.34 tff(13798,plain,
% 13.28/9.34 (((~![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)))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13799,plain,
% 13.28/9.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13800,plain,
% 13.28/9.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13799, 13798])).
% 13.28/9.34 tff(13801,plain,
% 13.28/9.34 (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13800, 579, 13797])).
% 13.28/9.34 tff(13802,plain,
% 13.28/9.34 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13803,plain,
% 13.28/9.34 (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13802, 1242])).
% 13.28/9.34 tff(13804,plain,
% 13.28/9.34 ((v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex2))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13805,plain,
% 13.28/9.34 (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13804, 13679])).
% 13.28/9.34 tff(13806,plain,
% 13.28/9.34 ((~(v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))) | (~v119(constB85)) | (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13807,plain,
% 13.28/9.34 (~v119(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13806, 13805, 13803])).
% 13.28/9.34 tff(13808,plain,
% 13.28/9.34 (((~![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))))))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13809,plain,
% 13.28/9.34 ((v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))))) <=> (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.34 inference(rewrite,[status(thm)],[])).
% 13.28/9.34 tff(13810,plain,
% 13.28/9.34 (((~![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))))))),
% 13.28/9.34 inference(monotonicity,[status(thm)],[13809])).
% 13.28/9.34 tff(13811,plain,
% 13.28/9.34 (((~![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))))))),
% 13.28/9.34 inference(transitivity,[status(thm)],[13810, 13808])).
% 13.28/9.34 tff(13812,plain,
% 13.28/9.34 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))),
% 13.28/9.34 inference(quant_inst,[status(thm)],[])).
% 13.28/9.34 tff(13813,plain,
% 13.28/9.34 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.34 inference(modus_ponens,[status(thm)],[13812, 13811])).
% 13.28/9.34 tff(13814,plain,
% 13.28/9.34 (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13813, 2651])).
% 13.28/9.34 tff(13815,plain,
% 13.28/9.34 (((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex1))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13816,plain,
% 13.28/9.34 ((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13815, 13741])).
% 13.28/9.34 tff(13817,plain,
% 13.28/9.34 ((~(v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) | (~v124(constB85)) | (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 13.28/9.34 inference(tautology,[status(thm)],[])).
% 13.28/9.34 tff(13818,plain,
% 13.28/9.34 (~v124(constB85)),
% 13.28/9.34 inference(unit_resolution,[status(thm)],[13817, 13816, 13814])).
% 13.28/9.34 tff(13819,plain,
% 13.28/9.34 (((~![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)))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13820,plain,
% 13.28/9.35 ((v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2))))) <=> (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13821,plain,
% 13.28/9.35 (((~![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)))))),
% 13.28/9.35 inference(monotonicity,[status(thm)],[13820])).
% 13.28/9.35 tff(13822,plain,
% 13.28/9.35 (((~![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)))))),
% 13.28/9.35 inference(transitivity,[status(thm)],[13821, 13819])).
% 13.28/9.35 tff(13823,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))),
% 13.28/9.35 inference(quant_inst,[status(thm)],[])).
% 13.28/9.35 tff(13824,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))),
% 13.28/9.35 inference(modus_ponens,[status(thm)],[13823, 13822])).
% 13.28/9.35 tff(13825,plain,
% 13.28/9.35 (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13824, 787])).
% 13.28/9.35 tff(13826,plain,
% 13.28/9.35 (((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))),
% 13.28/9.35 inference(tautology,[status(thm)],[])).
% 13.28/9.35 tff(13827,plain,
% 13.28/9.35 ((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13826, 13741])).
% 13.28/9.35 tff(13828,plain,
% 13.28/9.35 ((~(v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))) | (~v123(constB85)) | (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))),
% 13.28/9.35 inference(tautology,[status(thm)],[])).
% 13.28/9.35 tff(13829,plain,
% 13.28/9.35 (~v123(constB85)),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13828, 13827, 13825])).
% 13.28/9.35 tff(13830,plain,
% 13.28/9.35 (((~![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))))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13831,plain,
% 13.28/9.35 ((v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))))) <=> (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13832,plain,
% 13.28/9.35 (((~![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))))))),
% 13.28/9.35 inference(monotonicity,[status(thm)],[13831])).
% 13.28/9.35 tff(13833,plain,
% 13.28/9.35 (((~![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))))))),
% 13.28/9.35 inference(transitivity,[status(thm)],[13832, 13830])).
% 13.28/9.35 tff(13834,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))),
% 13.28/9.35 inference(quant_inst,[status(thm)],[])).
% 13.28/9.35 tff(13835,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.35 inference(modus_ponens,[status(thm)],[13834, 13833])).
% 13.28/9.35 tff(13836,plain,
% 13.28/9.35 (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13835, 900])).
% 13.28/9.35 tff(13837,plain,
% 13.28/9.35 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 13.28/9.35 inference(tautology,[status(thm)],[])).
% 13.28/9.35 tff(13838,plain,
% 13.28/9.35 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13837, 13679])).
% 13.28/9.35 tff(13839,plain,
% 13.28/9.35 ((~(v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) | (~v122(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 13.28/9.35 inference(tautology,[status(thm)],[])).
% 13.28/9.35 tff(13840,plain,
% 13.28/9.35 (~v122(constB85)),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13839, 13838, 13836])).
% 13.28/9.35 tff(13841,plain,
% 13.28/9.35 (((~![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)))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13842,plain,
% 13.28/9.35 ((v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1))))) <=> (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13843,plain,
% 13.28/9.35 (((~![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)))))),
% 13.28/9.35 inference(monotonicity,[status(thm)],[13842])).
% 13.28/9.35 tff(13844,plain,
% 13.28/9.35 (((~![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)))))),
% 13.28/9.35 inference(transitivity,[status(thm)],[13843, 13841])).
% 13.28/9.35 tff(13845,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))),
% 13.28/9.35 inference(quant_inst,[status(thm)],[])).
% 13.28/9.35 tff(13846,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 13.28/9.35 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 13.28/9.35 tff(13847,plain,
% 13.28/9.35 (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13846, 1015])).
% 13.28/9.35 tff(13848,plain,
% 13.28/9.35 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))),
% 13.28/9.35 inference(tautology,[status(thm)],[])).
% 13.28/9.35 tff(13849,plain,
% 13.28/9.35 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13848, 13679])).
% 13.28/9.35 tff(13850,plain,
% 13.28/9.35 ((~(v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) | (~v121(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 13.28/9.35 inference(tautology,[status(thm)],[])).
% 13.28/9.35 tff(13851,plain,
% 13.28/9.35 (~v121(constB85)),
% 13.28/9.35 inference(unit_resolution,[status(thm)],[13850, 13849, 13847])).
% 13.28/9.35 tff(13852,plain,
% 13.28/9.35 (((~![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))))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13853,plain,
% 13.28/9.35 ((v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))) <=> (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.35 inference(rewrite,[status(thm)],[])).
% 13.28/9.35 tff(13854,plain,
% 13.28/9.35 (((~![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))))))),
% 13.28/9.35 inference(monotonicity,[status(thm)],[13853])).
% 13.28/9.35 tff(13855,plain,
% 13.28/9.35 (((~![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))))))),
% 13.28/9.35 inference(transitivity,[status(thm)],[13854, 13852])).
% 13.28/9.35 tff(13856,plain,
% 13.28/9.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.35 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13857,plain,
% 13.28/9.36 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 13.28/9.36 tff(13858,plain,
% 13.28/9.36 (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13857, 1132])).
% 13.28/9.36 tff(13859,plain,
% 13.28/9.36 ((v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13860,plain,
% 13.28/9.36 (v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13859, 13679])).
% 13.28/9.36 tff(13861,plain,
% 13.28/9.36 ((~(v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) | (~v120(constB85)) | (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13862,plain,
% 13.28/9.36 (~v120(constB85)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13861, 13860, 13858])).
% 13.28/9.36 tff(13863,plain,
% 13.28/9.36 (((~![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))))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13864,plain,
% 13.28/9.36 ((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))))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13865,plain,
% 13.28/9.36 (((~![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)))))),
% 13.28/9.36 inference(monotonicity,[status(thm)],[13864])).
% 13.28/9.36 tff(13866,plain,
% 13.28/9.36 (((~![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))))),
% 13.28/9.36 inference(transitivity,[status(thm)],[13865, 13863])).
% 13.28/9.36 tff(13867,plain,
% 13.28/9.36 ((~![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))))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13868,plain,
% 13.28/9.36 ((~![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)))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13867, 13866])).
% 13.28/9.36 tff(13869,plain,
% 13.28/9.36 (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13868, 8006])).
% 13.28/9.36 tff(13870,plain,
% 13.28/9.36 (![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13869, 13862, 13851, 13840, 13829, 13818, 13807])).
% 13.28/9.36 tff(13871,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13872,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13873,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13872, 13871])).
% 13.28/9.36 tff(13874,plain,
% 13.28/9.36 (v130(constB85, bitIndex2) <=> b001(bitIndex2)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13873, 579, 13870])).
% 13.28/9.36 tff(13875,plain,
% 13.28/9.36 ((~(v130(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB85, bitIndex2)) | b001(bitIndex2)),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13876,plain,
% 13.28/9.36 ((~(v130(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB85, bitIndex2))),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13875, 1480])).
% 13.28/9.36 tff(13877,plain,
% 13.28/9.36 (~v130(constB85, bitIndex2)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13876, 13874])).
% 13.28/9.36 tff(13878,plain,
% 13.28/9.36 ((~(v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2))) | (~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13879,plain,
% 13.28/9.36 (~v127(constB85, bitIndex2)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13878, 13877, 13801])).
% 13.28/9.36 tff(13880,plain,
% 13.28/9.36 ((~(v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2))) | (~v129(constB86, bitIndex2)) | v127(constB85, bitIndex2)),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13881,plain,
% 13.28/9.36 (~v129(constB86, bitIndex2)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13880, 13879, 13793])).
% 13.28/9.36 tff(13882,plain,
% 13.28/9.36 ((~(v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2)),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13883,plain,
% 13.28/9.36 (~v90(constB86, bitIndex2)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13882, 13881, 13785])).
% 13.28/9.36 tff(13884,plain,
% 13.28/9.36 ((~(v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2))) | (~v90(constB87, bitIndex2)) | v90(constB86, bitIndex2)),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13885,plain,
% 13.28/9.36 (~v90(constB87, bitIndex2)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13884, 13883, 4514])).
% 13.28/9.36 tff(13886,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13887,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13888,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13887, 13886])).
% 13.28/9.36 tff(13889,plain,
% 13.28/9.36 (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13888, 1275, 4510])).
% 13.28/9.36 tff(13890,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13891,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13892,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 13.28/9.36 tff(13893,plain,
% 13.28/9.36 (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13892, 1275, 13781])).
% 13.28/9.36 tff(13894,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13895,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13896,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 13.28/9.36 tff(13897,plain,
% 13.28/9.36 (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13896, 1275, 13789])).
% 13.28/9.36 tff(13898,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13899,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13900,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13899, 13898])).
% 13.28/9.36 tff(13901,plain,
% 13.28/9.36 (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13900, 1275, 13797])).
% 13.28/9.36 tff(13902,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13903,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13904,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 13.28/9.36 tff(13905,plain,
% 13.28/9.36 (v130(constB85, bitIndex0) <=> b001(bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13904, 1275, 13870])).
% 13.28/9.36 tff(13906,plain,
% 13.28/9.36 ((~(v130(constB85, bitIndex0) <=> b001(bitIndex0))) | v130(constB85, bitIndex0) | (~b001(bitIndex0))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13907,plain,
% 13.28/9.36 ((~(v130(constB85, bitIndex0) <=> b001(bitIndex0))) | v130(constB85, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13906, 1514])).
% 13.28/9.36 tff(13908,plain,
% 13.28/9.36 (v130(constB85, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13907, 13905])).
% 13.28/9.36 tff(13909,plain,
% 13.28/9.36 ((~(v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0))) | v127(constB85, bitIndex0) | (~v130(constB85, bitIndex0))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13910,plain,
% 13.28/9.36 (v127(constB85, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13909, 13908, 13901])).
% 13.28/9.36 tff(13911,plain,
% 13.28/9.36 ((~(v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0))) | v129(constB86, bitIndex0) | (~v127(constB85, bitIndex0))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13912,plain,
% 13.28/9.36 (v129(constB86, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13911, 13910, 13897])).
% 13.28/9.36 tff(13913,plain,
% 13.28/9.36 ((~(v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13914,plain,
% 13.28/9.36 (v90(constB86, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13913, 13912, 13893])).
% 13.28/9.36 tff(13915,plain,
% 13.28/9.36 ((~(v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0))) | v90(constB87, bitIndex0) | (~v90(constB86, bitIndex0))),
% 13.28/9.36 inference(tautology,[status(thm)],[])).
% 13.28/9.36 tff(13916,plain,
% 13.28/9.36 (v90(constB87, bitIndex0)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13915, 13914, 13889])).
% 13.28/9.36 tff(13917,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13918,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13919,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 13.28/9.36 tff(13920,plain,
% 13.28/9.36 (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13919, 1288, 4510])).
% 13.28/9.36 tff(13921,plain,
% 13.28/9.36 (((~![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)))),
% 13.28/9.36 inference(rewrite,[status(thm)],[])).
% 13.28/9.36 tff(13922,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))),
% 13.28/9.36 inference(quant_inst,[status(thm)],[])).
% 13.28/9.36 tff(13923,plain,
% 13.28/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1))),
% 13.28/9.36 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 13.28/9.36 tff(13924,plain,
% 13.28/9.36 (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)),
% 13.28/9.36 inference(unit_resolution,[status(thm)],[13923, 1288, 13781])).
% 13.28/9.36 tff(13925,plain,
% 13.28/9.37 (((~![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)))),
% 13.28/9.37 inference(rewrite,[status(thm)],[])).
% 13.28/9.37 tff(13926,plain,
% 13.28/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))),
% 13.28/9.37 inference(quant_inst,[status(thm)],[])).
% 13.28/9.37 tff(13927,plain,
% 13.28/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1))),
% 13.28/9.37 inference(modus_ponens,[status(thm)],[13926, 13925])).
% 13.28/9.37 tff(13928,plain,
% 13.28/9.37 (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13927, 1288, 13789])).
% 13.28/9.37 tff(13929,plain,
% 13.28/9.37 (((~![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)))),
% 13.28/9.37 inference(rewrite,[status(thm)],[])).
% 13.28/9.37 tff(13930,plain,
% 13.28/9.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))),
% 13.28/9.37 inference(quant_inst,[status(thm)],[])).
% 13.28/9.37 tff(13931,plain,
% 13.28/9.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1))),
% 13.28/9.37 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 13.28/9.37 tff(13932,plain,
% 13.28/9.37 (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13931, 1288, 13797])).
% 13.28/9.37 tff(13933,plain,
% 13.28/9.37 (((~![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)))),
% 13.28/9.37 inference(rewrite,[status(thm)],[])).
% 13.28/9.37 tff(13934,plain,
% 13.28/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 13.28/9.37 inference(quant_inst,[status(thm)],[])).
% 13.28/9.37 tff(13935,plain,
% 13.28/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1))),
% 13.28/9.37 inference(modus_ponens,[status(thm)],[13934, 13933])).
% 13.28/9.37 tff(13936,plain,
% 13.28/9.37 (v130(constB85, bitIndex1) <=> b001(bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13935, 1288, 13870])).
% 13.28/9.37 tff(13937,plain,
% 13.28/9.37 ((~(v130(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB85, bitIndex1)) | b001(bitIndex1)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13938,plain,
% 13.28/9.37 ((~(v130(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB85, bitIndex1))),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13937, 1548])).
% 13.28/9.37 tff(13939,plain,
% 13.28/9.37 (~v130(constB85, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13938, 13936])).
% 13.28/9.37 tff(13940,plain,
% 13.28/9.37 ((~(v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1))) | (~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13941,plain,
% 13.28/9.37 (~v127(constB85, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13940, 13939, 13932])).
% 13.28/9.37 tff(13942,plain,
% 13.28/9.37 ((~(v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1))) | (~v129(constB86, bitIndex1)) | v127(constB85, bitIndex1)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13943,plain,
% 13.28/9.37 (~v129(constB86, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13942, 13941, 13928])).
% 13.28/9.37 tff(13944,plain,
% 13.28/9.37 ((~(v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13945,plain,
% 13.28/9.37 (~v90(constB86, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13944, 13943, 13924])).
% 13.28/9.37 tff(13946,plain,
% 13.28/9.37 ((~(v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1))) | (~v90(constB87, bitIndex1)) | v90(constB86, bitIndex1)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13947,plain,
% 13.28/9.37 (~v90(constB87, bitIndex1)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13946, 13945, 13920])).
% 13.28/9.37 tff(13948,plain,
% 13.28/9.37 ((~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))) | v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13949,plain,
% 13.28/9.37 (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13948, 13947, 13916, 13885])).
% 13.28/9.37 tff(13950,plain,
% 13.28/9.37 ((~(v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))) | v120(constB87) | (v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13951,plain,
% 13.28/9.37 (v120(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13950, 13949, 4482])).
% 13.28/9.37 tff(13952,plain,
% 13.28/9.37 ((v119(constB87) | v120(constB87)) | (~v120(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13953,plain,
% 13.28/9.37 (v119(constB87) | v120(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13952, 13951])).
% 13.28/9.37 tff(13954,plain,
% 13.28/9.37 ((~(v118(constB87) <=> (v119(constB87) | v120(constB87)))) | v118(constB87) | (~(v119(constB87) | v120(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13955,plain,
% 13.28/9.37 (v118(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13954, 13953, 4475])).
% 13.28/9.37 tff(13956,plain,
% 13.28/9.37 ((v118(constB87) | v121(constB87)) | (~v118(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13957,plain,
% 13.28/9.37 (v118(constB87) | v121(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13956, 13955])).
% 13.28/9.37 tff(13958,plain,
% 13.28/9.37 ((~(v117(constB87) <=> (v118(constB87) | v121(constB87)))) | v117(constB87) | (~(v118(constB87) | v121(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13959,plain,
% 13.28/9.37 (v117(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13958, 13957, 4473])).
% 13.28/9.37 tff(13960,plain,
% 13.28/9.37 ((v117(constB87) | v122(constB87)) | (~v117(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13961,plain,
% 13.28/9.37 (v117(constB87) | v122(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13960, 13959])).
% 13.28/9.37 tff(13962,plain,
% 13.28/9.37 ((~(v116(constB87) <=> (v117(constB87) | v122(constB87)))) | v116(constB87) | (~(v117(constB87) | v122(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13963,plain,
% 13.28/9.37 (v116(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13962, 13961, 4471])).
% 13.28/9.37 tff(13964,plain,
% 13.28/9.37 ((v116(constB87) | v123(constB87)) | (~v116(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13965,plain,
% 13.28/9.37 (v116(constB87) | v123(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13964, 13963])).
% 13.28/9.37 tff(13966,plain,
% 13.28/9.37 ((~(v115(constB87) <=> (v116(constB87) | v123(constB87)))) | v115(constB87) | (~(v116(constB87) | v123(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13967,plain,
% 13.28/9.37 (v115(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13966, 13965, 4469])).
% 13.28/9.37 tff(13968,plain,
% 13.28/9.37 ((v115(constB87) | v124(constB87)) | (~v115(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13969,plain,
% 13.28/9.37 (v115(constB87) | v124(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13968, 13967])).
% 13.28/9.37 tff(13970,plain,
% 13.28/9.37 ((~(v114(constB87) <=> (v115(constB87) | v124(constB87)))) | v114(constB87) | (~(v115(constB87) | v124(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13971,plain,
% 13.28/9.37 (v114(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13970, 13969, 4467])).
% 13.28/9.37 tff(13972,plain,
% 13.28/9.37 ((v114(constB87) | v125(constB87)) | (~v114(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13973,plain,
% 13.28/9.37 (v114(constB87) | v125(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13972, 13971])).
% 13.28/9.37 tff(13974,plain,
% 13.28/9.37 ((~(v113(constB87) <=> (v114(constB87) | v125(constB87)))) | v113(constB87) | (~(v114(constB87) | v125(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13975,plain,
% 13.28/9.37 (v113(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13974, 13973, 4465])).
% 13.28/9.37 tff(13976,plain,
% 13.28/9.37 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB87)) <=> v111(constB87))),
% 13.28/9.37 inference(quant_inst,[status(thm)],[])).
% 13.28/9.37 tff(13977,plain,
% 13.28/9.37 ((~v126(constB87)) <=> v111(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13976, 1345])).
% 13.28/9.37 tff(13978,plain,
% 13.28/9.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB87) <=> v26(constB87))),
% 13.28/9.37 inference(quant_inst,[status(thm)],[])).
% 13.28/9.37 tff(13979,plain,
% 13.28/9.37 (v111(constB87) <=> v26(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13978, 1357])).
% 13.28/9.37 tff(13980,plain,
% 13.28/9.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 13.28/9.37 inference(quant_inst,[status(thm)],[])).
% 13.28/9.37 tff(13981,plain,
% 13.28/9.37 (~v26(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13980, 1369])).
% 13.28/9.37 tff(13982,plain,
% 13.28/9.37 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87)) | v26(constB87)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13983,plain,
% 13.28/9.37 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87))),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13982, 13981])).
% 13.28/9.37 tff(13984,plain,
% 13.28/9.37 (~v111(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13983, 13979])).
% 13.28/9.37 tff(13985,plain,
% 13.28/9.37 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87) | v111(constB87)),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13986,plain,
% 13.28/9.37 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13985, 13984])).
% 13.28/9.37 tff(13987,plain,
% 13.28/9.37 (v126(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13986, 13977])).
% 13.28/9.37 tff(13988,plain,
% 13.28/9.37 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87)) | (~v126(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13989,plain,
% 13.28/9.37 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87))),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13988, 13987])).
% 13.28/9.37 tff(13990,plain,
% 13.28/9.37 (~((~v113(constB87)) | (~v126(constB87)))),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13989, 13975])).
% 13.28/9.37 tff(13991,plain,
% 13.28/9.37 ((~(v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))) | v112(constB87) | ((~v113(constB87)) | (~v126(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13992,plain,
% 13.28/9.37 (v112(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13991, 13990, 4463])).
% 13.28/9.37 tff(13993,plain,
% 13.28/9.37 ((v111(constB87) | v112(constB87)) | (~v112(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13994,plain,
% 13.28/9.37 (v111(constB87) | v112(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13993, 13992])).
% 13.28/9.37 tff(13995,plain,
% 13.28/9.37 ((~(v108(constB87) <=> (v111(constB87) | v112(constB87)))) | v108(constB87) | (~(v111(constB87) | v112(constB87)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13996,plain,
% 13.28/9.37 (v108(constB87)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13995, 13994, 4461])).
% 13.28/9.37 tff(13997,plain,
% 13.28/9.37 ((~(v110(constB88) <=> v108(constB87))) | v110(constB88) | (~v108(constB87))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(13998,plain,
% 13.28/9.37 (v110(constB88)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13997, 13996, 4459])).
% 13.28/9.37 tff(13999,plain,
% 13.28/9.37 ((~((~v101(constB88)) | (~v110(constB88)))) | (~v101(constB88)) | (~v110(constB88))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(14000,plain,
% 13.28/9.37 (~((~v101(constB88)) | (~v110(constB88)))),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[13999, 13998, 4455])).
% 13.28/9.37 tff(14001,plain,
% 13.28/9.37 ((~(v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))) | v100(constB88) | ((~v101(constB88)) | (~v110(constB88)))),
% 13.28/9.37 inference(tautology,[status(thm)],[])).
% 13.28/9.37 tff(14002,plain,
% 13.28/9.37 (v100(constB88)),
% 13.28/9.37 inference(unit_resolution,[status(thm)],[14001, 14000, 4424])).
% 13.28/9.37 tff(14003,plain,
% 13.28/9.37 (((~![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))))),
% 13.34/9.37 inference(rewrite,[status(thm)],[])).
% 13.34/9.37 tff(14004,plain,
% 13.34/9.37 ((~![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))))),
% 13.34/9.37 inference(quant_inst,[status(thm)],[])).
% 13.34/9.37 tff(14005,plain,
% 13.34/9.37 ((~![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)))),
% 13.34/9.37 inference(modus_ponens,[status(thm)],[14004, 14003])).
% 13.34/9.37 tff(14006,plain,
% 13.34/9.37 ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 13.34/9.37 inference(unit_resolution,[status(thm)],[14005, 1405])).
% 13.34/9.37 tff(14007,plain,
% 13.34/9.37 (![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 13.34/9.37 inference(unit_resolution,[status(thm)],[14006, 14002])).
% 13.34/9.37 tff(14008,plain,
% 13.34/9.37 (((~![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)))),
% 13.34/9.37 inference(rewrite,[status(thm)],[])).
% 13.34/9.37 tff(14009,plain,
% 13.34/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))),
% 13.34/9.37 inference(quant_inst,[status(thm)],[])).
% 13.34/9.37 tff(14010,plain,
% 13.34/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2))),
% 13.34/9.37 inference(modus_ponens,[status(thm)],[14009, 14008])).
% 13.34/9.37 tff(14011,plain,
% 13.34/9.37 (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)),
% 13.34/9.37 inference(unit_resolution,[status(thm)],[14010, 579, 14007])).
% 13.34/9.37 tff(14012,plain,
% 13.34/9.37 (((~![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))))),
% 13.34/9.37 inference(rewrite,[status(thm)],[])).
% 13.34/9.37 tff(14013,plain,
% 13.34/9.37 ((~![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))))),
% 13.34/9.37 inference(quant_inst,[status(thm)],[])).
% 13.34/9.37 tff(14014,plain,
% 13.34/9.37 ((~![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)))),
% 13.34/9.37 inference(modus_ponens,[status(thm)],[14013, 14012])).
% 13.34/9.37 tff(14015,plain,
% 13.34/9.37 (![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))),
% 13.34/9.37 inference(unit_resolution,[status(thm)],[14014, 4420, 1427])).
% 13.34/9.37 tff(14016,plain,
% 13.34/9.37 (((~![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)))),
% 13.34/9.37 inference(rewrite,[status(thm)],[])).
% 13.34/9.37 tff(14017,plain,
% 13.34/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14018,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 13.34/9.38 tff(14019,plain,
% 13.34/9.38 (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14018, 579, 14015])).
% 13.34/9.38 tff(14020,plain,
% 13.34/9.38 (((~![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))))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14021,plain,
% 13.34/9.38 ((~![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))))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14022,plain,
% 13.34/9.38 ((~![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)))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14021, 14020])).
% 13.34/9.38 tff(14023,plain,
% 13.34/9.38 (![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14022, 1448, 13984])).
% 13.34/9.38 tff(14024,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14025,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14026,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14025, 14024])).
% 13.34/9.38 tff(14027,plain,
% 13.34/9.38 (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14026, 579, 14023])).
% 13.34/9.38 tff(14028,plain,
% 13.34/9.38 (((~![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))))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14029,plain,
% 13.34/9.38 ((~![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))))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14030,plain,
% 13.34/9.38 ((~![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)))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14029, 14028])).
% 13.34/9.38 tff(14031,plain,
% 13.34/9.38 ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14030, 1652])).
% 13.34/9.38 tff(14032,plain,
% 13.34/9.38 (![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14031, 13951])).
% 13.34/9.38 tff(14033,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14034,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14035,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 13.34/9.38 tff(14036,plain,
% 13.34/9.38 (v130(constB87, bitIndex2) <=> b010(bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14035, 579, 14032])).
% 13.34/9.38 tff(14037,plain,
% 13.34/9.38 ((~(v130(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB87, bitIndex2)) | b010(bitIndex2)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14038,plain,
% 13.34/9.38 ((~(v130(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB87, bitIndex2))),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14037, 1664])).
% 13.34/9.38 tff(14039,plain,
% 13.34/9.38 (~v130(constB87, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14038, 14036])).
% 13.34/9.38 tff(14040,plain,
% 13.34/9.38 ((~(v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2))) | (~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14041,plain,
% 13.34/9.38 (~v127(constB87, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14040, 14039, 14027])).
% 13.34/9.38 tff(14042,plain,
% 13.34/9.38 ((~(v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2))) | (~v129(constB88, bitIndex2)) | v127(constB87, bitIndex2)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14043,plain,
% 13.34/9.38 (~v129(constB88, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14042, 14041, 14019])).
% 13.34/9.38 tff(14044,plain,
% 13.34/9.38 ((~(v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14045,plain,
% 13.34/9.38 (~v90(constB88, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14044, 14043, 14011])).
% 13.34/9.38 tff(14046,plain,
% 13.34/9.38 ((~(v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2))) | (~v90(constB89, bitIndex2)) | v90(constB88, bitIndex2)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14047,plain,
% 13.34/9.38 (~v90(constB89, bitIndex2)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14046, 14045, 4417])).
% 13.34/9.38 tff(14048,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14049,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14050,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 13.34/9.38 tff(14051,plain,
% 13.34/9.38 (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14050, 1275, 4413])).
% 13.34/9.38 tff(14052,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14053,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14054,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14053, 14052])).
% 13.34/9.38 tff(14055,plain,
% 13.34/9.38 (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14054, 1275, 14007])).
% 13.34/9.38 tff(14056,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14057,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14058,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14057, 14056])).
% 13.34/9.38 tff(14059,plain,
% 13.34/9.38 (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14058, 1275, 14015])).
% 13.34/9.38 tff(14060,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14061,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14062,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 13.34/9.38 tff(14063,plain,
% 13.34/9.38 (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14062, 1275, 14023])).
% 13.34/9.38 tff(14064,plain,
% 13.34/9.38 (((~![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)))),
% 13.34/9.38 inference(rewrite,[status(thm)],[])).
% 13.34/9.38 tff(14065,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 13.34/9.38 inference(quant_inst,[status(thm)],[])).
% 13.34/9.38 tff(14066,plain,
% 13.34/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0))),
% 13.34/9.38 inference(modus_ponens,[status(thm)],[14065, 14064])).
% 13.34/9.38 tff(14067,plain,
% 13.34/9.38 (v130(constB87, bitIndex0) <=> b010(bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14066, 1275, 14032])).
% 13.34/9.38 tff(14068,plain,
% 13.34/9.38 ((~(v130(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB87, bitIndex0)) | b010(bitIndex0)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14069,plain,
% 13.34/9.38 ((~(v130(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB87, bitIndex0))),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14068, 1698])).
% 13.34/9.38 tff(14070,plain,
% 13.34/9.38 (~v130(constB87, bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14069, 14067])).
% 13.34/9.38 tff(14071,plain,
% 13.34/9.38 ((~(v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0))) | (~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 13.34/9.38 inference(tautology,[status(thm)],[])).
% 13.34/9.38 tff(14072,plain,
% 13.34/9.38 (~v127(constB87, bitIndex0)),
% 13.34/9.38 inference(unit_resolution,[status(thm)],[14071, 14070, 14063])).
% 13.34/9.38 tff(14073,plain,
% 13.34/9.38 ((~(v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0))) | (~v129(constB88, bitIndex0)) | v127(constB87, bitIndex0)),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14074,plain,
% 13.34/9.39 (~v129(constB88, bitIndex0)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14073, 14072, 14059])).
% 13.34/9.39 tff(14075,plain,
% 13.34/9.39 ((~(v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14076,plain,
% 13.34/9.39 (~v90(constB88, bitIndex0)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14075, 14074, 14055])).
% 13.34/9.39 tff(14077,plain,
% 13.34/9.39 ((~(v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0))) | (~v90(constB89, bitIndex0)) | v90(constB88, bitIndex0)),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14078,plain,
% 13.34/9.39 (~v90(constB89, bitIndex0)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14077, 14076, 14051])).
% 13.34/9.39 tff(14079,plain,
% 13.34/9.39 (((~![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)))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14080,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14081,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1))),
% 13.34/9.39 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 13.34/9.39 tff(14082,plain,
% 13.34/9.39 (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14081, 1288, 4413])).
% 13.34/9.39 tff(14083,plain,
% 13.34/9.39 (((~![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)))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14084,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14085,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1))),
% 13.34/9.39 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 13.34/9.39 tff(14086,plain,
% 13.34/9.39 (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14085, 1288, 14007])).
% 13.34/9.39 tff(14087,plain,
% 13.34/9.39 (((~![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)))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14088,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14089,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1))),
% 13.34/9.39 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 13.34/9.39 tff(14090,plain,
% 13.34/9.39 (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14089, 1288, 14015])).
% 13.34/9.39 tff(14091,plain,
% 13.34/9.39 (((~![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)))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14092,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14093,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1))),
% 13.34/9.39 inference(modus_ponens,[status(thm)],[14092, 14091])).
% 13.34/9.39 tff(14094,plain,
% 13.34/9.39 (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14093, 1288, 14023])).
% 13.34/9.39 tff(14095,plain,
% 13.34/9.39 (((~![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)))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14096,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14097,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1))),
% 13.34/9.39 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 13.34/9.39 tff(14098,plain,
% 13.34/9.39 (v130(constB87, bitIndex1) <=> b010(bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14097, 1288, 14032])).
% 13.34/9.39 tff(14099,plain,
% 13.34/9.39 ((~(v130(constB87, bitIndex1) <=> b010(bitIndex1))) | v130(constB87, bitIndex1) | (~b010(bitIndex1))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14100,plain,
% 13.34/9.39 ((~(v130(constB87, bitIndex1) <=> b010(bitIndex1))) | v130(constB87, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14099, 1732])).
% 13.34/9.39 tff(14101,plain,
% 13.34/9.39 (v130(constB87, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14100, 14098])).
% 13.34/9.39 tff(14102,plain,
% 13.34/9.39 ((~(v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1))) | v127(constB87, bitIndex1) | (~v130(constB87, bitIndex1))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14103,plain,
% 13.34/9.39 (v127(constB87, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14102, 14101, 14094])).
% 13.34/9.39 tff(14104,plain,
% 13.34/9.39 ((~(v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1))) | v129(constB88, bitIndex1) | (~v127(constB87, bitIndex1))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14105,plain,
% 13.34/9.39 (v129(constB88, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14104, 14103, 14090])).
% 13.34/9.39 tff(14106,plain,
% 13.34/9.39 ((~(v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14107,plain,
% 13.34/9.39 (v90(constB88, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14106, 14105, 14086])).
% 13.34/9.39 tff(14108,plain,
% 13.34/9.39 ((~(v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1))) | v90(constB89, bitIndex1) | (~v90(constB88, bitIndex1))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14109,plain,
% 13.34/9.39 (v90(constB89, bitIndex1)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14108, 14107, 14082])).
% 13.34/9.39 tff(14110,plain,
% 13.34/9.39 ((~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14111,plain,
% 13.34/9.39 (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14110, 14109, 14078, 14047])).
% 13.34/9.39 tff(14112,plain,
% 13.34/9.39 ((~(v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))) | v121(constB89) | (v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14113,plain,
% 13.34/9.39 (v121(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14112, 14111, 4385])).
% 13.34/9.39 tff(14114,plain,
% 13.34/9.39 ((v118(constB89) | v121(constB89)) | (~v121(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14115,plain,
% 13.34/9.39 (v118(constB89) | v121(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14114, 14113])).
% 13.34/9.39 tff(14116,plain,
% 13.34/9.39 ((~(v117(constB89) <=> (v118(constB89) | v121(constB89)))) | v117(constB89) | (~(v118(constB89) | v121(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14117,plain,
% 13.34/9.39 (v117(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14116, 14115, 4378])).
% 13.34/9.39 tff(14118,plain,
% 13.34/9.39 ((v117(constB89) | v122(constB89)) | (~v117(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14119,plain,
% 13.34/9.39 (v117(constB89) | v122(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14118, 14117])).
% 13.34/9.39 tff(14120,plain,
% 13.34/9.39 ((~(v116(constB89) <=> (v117(constB89) | v122(constB89)))) | v116(constB89) | (~(v117(constB89) | v122(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14121,plain,
% 13.34/9.39 (v116(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14120, 14119, 4376])).
% 13.34/9.39 tff(14122,plain,
% 13.34/9.39 ((v116(constB89) | v123(constB89)) | (~v116(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14123,plain,
% 13.34/9.39 (v116(constB89) | v123(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14122, 14121])).
% 13.34/9.39 tff(14124,plain,
% 13.34/9.39 ((~(v115(constB89) <=> (v116(constB89) | v123(constB89)))) | v115(constB89) | (~(v116(constB89) | v123(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14125,plain,
% 13.34/9.39 (v115(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14124, 14123, 4374])).
% 13.34/9.39 tff(14126,plain,
% 13.34/9.39 ((v115(constB89) | v124(constB89)) | (~v115(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14127,plain,
% 13.34/9.39 (v115(constB89) | v124(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14126, 14125])).
% 13.34/9.39 tff(14128,plain,
% 13.34/9.39 ((~(v114(constB89) <=> (v115(constB89) | v124(constB89)))) | v114(constB89) | (~(v115(constB89) | v124(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14129,plain,
% 13.34/9.39 (v114(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14128, 14127, 4372])).
% 13.34/9.39 tff(14130,plain,
% 13.34/9.39 ((v114(constB89) | v125(constB89)) | (~v114(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14131,plain,
% 13.34/9.39 (v114(constB89) | v125(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14130, 14129])).
% 13.34/9.39 tff(14132,plain,
% 13.34/9.39 ((~(v113(constB89) <=> (v114(constB89) | v125(constB89)))) | v113(constB89) | (~(v114(constB89) | v125(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14133,plain,
% 13.34/9.39 (v113(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14132, 14131, 4370])).
% 13.34/9.39 tff(14134,plain,
% 13.34/9.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB89)) <=> v111(constB89))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14135,plain,
% 13.34/9.39 ((~v126(constB89)) <=> v111(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14134, 1345])).
% 13.34/9.39 tff(14136,plain,
% 13.34/9.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB89) <=> v26(constB89))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14137,plain,
% 13.34/9.39 (v111(constB89) <=> v26(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14136, 1357])).
% 13.34/9.39 tff(14138,plain,
% 13.34/9.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14139,plain,
% 13.34/9.39 (~v26(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14138, 1369])).
% 13.34/9.39 tff(14140,plain,
% 13.34/9.39 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89)) | v26(constB89)),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14141,plain,
% 13.34/9.39 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14140, 14139])).
% 13.34/9.39 tff(14142,plain,
% 13.34/9.39 (~v111(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14141, 14137])).
% 13.34/9.39 tff(14143,plain,
% 13.34/9.39 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89) | v111(constB89)),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14144,plain,
% 13.34/9.39 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14143, 14142])).
% 13.34/9.39 tff(14145,plain,
% 13.34/9.39 (v126(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14144, 14135])).
% 13.34/9.39 tff(14146,plain,
% 13.34/9.39 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89)) | (~v126(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14147,plain,
% 13.34/9.39 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14146, 14145])).
% 13.34/9.39 tff(14148,plain,
% 13.34/9.39 (~((~v113(constB89)) | (~v126(constB89)))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14147, 14133])).
% 13.34/9.39 tff(14149,plain,
% 13.34/9.39 ((~(v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))) | v112(constB89) | ((~v113(constB89)) | (~v126(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14150,plain,
% 13.34/9.39 (v112(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14149, 14148, 4368])).
% 13.34/9.39 tff(14151,plain,
% 13.34/9.39 ((v111(constB89) | v112(constB89)) | (~v112(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14152,plain,
% 13.34/9.39 (v111(constB89) | v112(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14151, 14150])).
% 13.34/9.39 tff(14153,plain,
% 13.34/9.39 ((~(v108(constB89) <=> (v111(constB89) | v112(constB89)))) | v108(constB89) | (~(v111(constB89) | v112(constB89)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14154,plain,
% 13.34/9.39 (v108(constB89)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14153, 14152, 4366])).
% 13.34/9.39 tff(14155,plain,
% 13.34/9.39 ((~(v110(constB90) <=> v108(constB89))) | v110(constB90) | (~v108(constB89))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14156,plain,
% 13.34/9.39 (v110(constB90)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14155, 14154, 4364])).
% 13.34/9.39 tff(14157,plain,
% 13.34/9.39 ((~((~v101(constB90)) | (~v110(constB90)))) | (~v101(constB90)) | (~v110(constB90))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14158,plain,
% 13.34/9.39 (~((~v101(constB90)) | (~v110(constB90)))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14157, 14156, 4360])).
% 13.34/9.39 tff(14159,plain,
% 13.34/9.39 ((~(v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))) | v100(constB90) | ((~v101(constB90)) | (~v110(constB90)))),
% 13.34/9.39 inference(tautology,[status(thm)],[])).
% 13.34/9.39 tff(14160,plain,
% 13.34/9.39 (v100(constB90)),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14159, 14158, 4329])).
% 13.34/9.39 tff(14161,plain,
% 13.34/9.39 (((~![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))))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14162,plain,
% 13.34/9.39 ((~![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))))),
% 13.34/9.39 inference(quant_inst,[status(thm)],[])).
% 13.34/9.39 tff(14163,plain,
% 13.34/9.39 ((~![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)))),
% 13.34/9.39 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 13.34/9.39 tff(14164,plain,
% 13.34/9.39 ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14163, 1405])).
% 13.34/9.39 tff(14165,plain,
% 13.34/9.39 (![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 13.34/9.39 inference(unit_resolution,[status(thm)],[14164, 14160])).
% 13.34/9.39 tff(14166,plain,
% 13.34/9.39 (((~![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)))),
% 13.34/9.39 inference(rewrite,[status(thm)],[])).
% 13.34/9.39 tff(14167,plain,
% 13.34/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14168,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14167, 14166])).
% 13.34/9.40 tff(14169,plain,
% 13.34/9.40 (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14168, 579, 14165])).
% 13.34/9.40 tff(14170,plain,
% 13.34/9.40 (((~![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))))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14171,plain,
% 13.34/9.40 ((~![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))))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14172,plain,
% 13.34/9.40 ((~![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)))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14171, 14170])).
% 13.34/9.40 tff(14173,plain,
% 13.34/9.40 (![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14172, 4325, 1427])).
% 13.34/9.40 tff(14174,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14175,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14176,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14175, 14174])).
% 13.34/9.40 tff(14177,plain,
% 13.34/9.40 (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14176, 579, 14173])).
% 13.34/9.40 tff(14178,plain,
% 13.34/9.40 (((~![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))))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14179,plain,
% 13.34/9.40 ((~![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))))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14180,plain,
% 13.34/9.40 ((~![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)))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14179, 14178])).
% 13.34/9.40 tff(14181,plain,
% 13.34/9.40 (![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14180, 1448, 14142])).
% 13.34/9.40 tff(14182,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14183,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14184,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14183, 14182])).
% 13.34/9.40 tff(14185,plain,
% 13.34/9.40 (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14184, 579, 14181])).
% 13.34/9.40 tff(14186,plain,
% 13.34/9.40 (((~![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))))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14187,plain,
% 13.34/9.40 ((~![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))))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14188,plain,
% 13.34/9.40 ((~![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)))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14187, 14186])).
% 13.34/9.40 tff(14189,plain,
% 13.34/9.40 ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14188, 1832])).
% 13.34/9.40 tff(14190,plain,
% 13.34/9.40 (![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14189, 14113])).
% 13.34/9.40 tff(14191,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14192,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14193,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 13.34/9.40 tff(14194,plain,
% 13.34/9.40 (v130(constB89, bitIndex2) <=> b011(bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14193, 579, 14190])).
% 13.34/9.40 tff(14195,plain,
% 13.34/9.40 ((~(v130(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB89, bitIndex2)) | b011(bitIndex2)),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14196,plain,
% 13.34/9.40 ((~(v130(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB89, bitIndex2))),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14195, 1844])).
% 13.34/9.40 tff(14197,plain,
% 13.34/9.40 (~v130(constB89, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14196, 14194])).
% 13.34/9.40 tff(14198,plain,
% 13.34/9.40 ((~(v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2))) | (~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14199,plain,
% 13.34/9.40 (~v127(constB89, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14198, 14197, 14185])).
% 13.34/9.40 tff(14200,plain,
% 13.34/9.40 ((~(v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2))) | (~v129(constB90, bitIndex2)) | v127(constB89, bitIndex2)),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14201,plain,
% 13.34/9.40 (~v129(constB90, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14200, 14199, 14177])).
% 13.34/9.40 tff(14202,plain,
% 13.34/9.40 ((~(v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14203,plain,
% 13.34/9.40 (~v90(constB90, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14202, 14201, 14169])).
% 13.34/9.40 tff(14204,plain,
% 13.34/9.40 ((~(v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2))) | (~v90(constB91, bitIndex2)) | v90(constB90, bitIndex2)),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14205,plain,
% 13.34/9.40 (~v90(constB91, bitIndex2)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14204, 14203, 4322])).
% 13.34/9.40 tff(14206,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14207,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14208,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 13.34/9.40 tff(14209,plain,
% 13.34/9.40 (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14208, 1275, 4318])).
% 13.34/9.40 tff(14210,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14211,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14212,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 13.34/9.40 tff(14213,plain,
% 13.34/9.40 (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14212, 1275, 14165])).
% 13.34/9.40 tff(14214,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14215,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14216,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14215, 14214])).
% 13.34/9.40 tff(14217,plain,
% 13.34/9.40 (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14216, 1275, 14173])).
% 13.34/9.40 tff(14218,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14219,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14220,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 13.34/9.40 tff(14221,plain,
% 13.34/9.40 (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14220, 1275, 14181])).
% 13.34/9.40 tff(14222,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14223,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14224,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 13.34/9.40 tff(14225,plain,
% 13.34/9.40 (v130(constB89, bitIndex0) <=> b011(bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14224, 1275, 14190])).
% 13.34/9.40 tff(14226,plain,
% 13.34/9.40 ((~(v130(constB89, bitIndex0) <=> b011(bitIndex0))) | v130(constB89, bitIndex0) | (~b011(bitIndex0))),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14227,plain,
% 13.34/9.40 ((~(v130(constB89, bitIndex0) <=> b011(bitIndex0))) | v130(constB89, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14226, 1878])).
% 13.34/9.40 tff(14228,plain,
% 13.34/9.40 (v130(constB89, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14227, 14225])).
% 13.34/9.40 tff(14229,plain,
% 13.34/9.40 ((~(v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0))) | v127(constB89, bitIndex0) | (~v130(constB89, bitIndex0))),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14230,plain,
% 13.34/9.40 (v127(constB89, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14229, 14228, 14221])).
% 13.34/9.40 tff(14231,plain,
% 13.34/9.40 ((~(v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0))) | v129(constB90, bitIndex0) | (~v127(constB89, bitIndex0))),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14232,plain,
% 13.34/9.40 (v129(constB90, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14231, 14230, 14217])).
% 13.34/9.40 tff(14233,plain,
% 13.34/9.40 ((~(v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14234,plain,
% 13.34/9.40 (v90(constB90, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14233, 14232, 14213])).
% 13.34/9.40 tff(14235,plain,
% 13.34/9.40 ((~(v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0))) | v90(constB91, bitIndex0) | (~v90(constB90, bitIndex0))),
% 13.34/9.40 inference(tautology,[status(thm)],[])).
% 13.34/9.40 tff(14236,plain,
% 13.34/9.40 (v90(constB91, bitIndex0)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14235, 14234, 14209])).
% 13.34/9.40 tff(14237,plain,
% 13.34/9.40 (((~![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)))),
% 13.34/9.40 inference(rewrite,[status(thm)],[])).
% 13.34/9.40 tff(14238,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))),
% 13.34/9.40 inference(quant_inst,[status(thm)],[])).
% 13.34/9.40 tff(14239,plain,
% 13.34/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1))),
% 13.34/9.40 inference(modus_ponens,[status(thm)],[14238, 14237])).
% 13.34/9.40 tff(14240,plain,
% 13.34/9.40 (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)),
% 13.34/9.40 inference(unit_resolution,[status(thm)],[14239, 1288, 4318])).
% 13.34/9.41 tff(14241,plain,
% 13.34/9.41 (((~![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)))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14242,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14243,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14242, 14241])).
% 13.34/9.41 tff(14244,plain,
% 13.34/9.41 (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14243, 1288, 14165])).
% 13.34/9.41 tff(14245,plain,
% 13.34/9.41 (((~![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)))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14246,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14247,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14246, 14245])).
% 13.34/9.41 tff(14248,plain,
% 13.34/9.41 (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14247, 1288, 14173])).
% 13.34/9.41 tff(14249,plain,
% 13.34/9.41 (((~![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)))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14250,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14251,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14250, 14249])).
% 13.34/9.41 tff(14252,plain,
% 13.34/9.41 (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14251, 1288, 14181])).
% 13.34/9.41 tff(14253,plain,
% 13.34/9.41 (((~![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)))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14254,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14255,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 13.34/9.41 tff(14256,plain,
% 13.34/9.41 (v130(constB89, bitIndex1) <=> b011(bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14255, 1288, 14190])).
% 13.34/9.41 tff(14257,plain,
% 13.34/9.41 ((~(v130(constB89, bitIndex1) <=> b011(bitIndex1))) | v130(constB89, bitIndex1) | (~b011(bitIndex1))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14258,plain,
% 13.34/9.41 ((~(v130(constB89, bitIndex1) <=> b011(bitIndex1))) | v130(constB89, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14257, 1912])).
% 13.34/9.41 tff(14259,plain,
% 13.34/9.41 (v130(constB89, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14258, 14256])).
% 13.34/9.41 tff(14260,plain,
% 13.34/9.41 ((~(v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1))) | v127(constB89, bitIndex1) | (~v130(constB89, bitIndex1))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14261,plain,
% 13.34/9.41 (v127(constB89, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14260, 14259, 14252])).
% 13.34/9.41 tff(14262,plain,
% 13.34/9.41 ((~(v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1))) | v129(constB90, bitIndex1) | (~v127(constB89, bitIndex1))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14263,plain,
% 13.34/9.41 (v129(constB90, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14262, 14261, 14248])).
% 13.34/9.41 tff(14264,plain,
% 13.34/9.41 ((~(v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14265,plain,
% 13.34/9.41 (v90(constB90, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14264, 14263, 14244])).
% 13.34/9.41 tff(14266,plain,
% 13.34/9.41 ((~(v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1))) | v90(constB91, bitIndex1) | (~v90(constB90, bitIndex1))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14267,plain,
% 13.34/9.41 (v90(constB91, bitIndex1)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14266, 14265, 14240])).
% 13.34/9.41 tff(14268,plain,
% 13.34/9.41 ((~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))) | v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14269,plain,
% 13.34/9.41 (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14268, 14267, 14236, 14205])).
% 13.34/9.41 tff(14270,plain,
% 13.34/9.41 ((~(v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) | v122(constB91) | (v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14271,plain,
% 13.34/9.41 (v122(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14270, 14269, 4290])).
% 13.34/9.41 tff(14272,plain,
% 13.34/9.41 ((v117(constB91) | v122(constB91)) | (~v122(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14273,plain,
% 13.34/9.41 (v117(constB91) | v122(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14272, 14271])).
% 13.34/9.41 tff(14274,plain,
% 13.34/9.41 ((~(v116(constB91) <=> (v117(constB91) | v122(constB91)))) | v116(constB91) | (~(v117(constB91) | v122(constB91)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14275,plain,
% 13.34/9.41 (v116(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14274, 14273, 4283])).
% 13.34/9.41 tff(14276,plain,
% 13.34/9.41 ((v116(constB91) | v123(constB91)) | (~v116(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14277,plain,
% 13.34/9.41 (v116(constB91) | v123(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14276, 14275])).
% 13.34/9.41 tff(14278,plain,
% 13.34/9.41 ((~(v115(constB91) <=> (v116(constB91) | v123(constB91)))) | v115(constB91) | (~(v116(constB91) | v123(constB91)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14279,plain,
% 13.34/9.41 (v115(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14278, 14277, 4281])).
% 13.34/9.41 tff(14280,plain,
% 13.34/9.41 ((v115(constB91) | v124(constB91)) | (~v115(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14281,plain,
% 13.34/9.41 (v115(constB91) | v124(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14280, 14279])).
% 13.34/9.41 tff(14282,plain,
% 13.34/9.41 ((~(v114(constB91) <=> (v115(constB91) | v124(constB91)))) | v114(constB91) | (~(v115(constB91) | v124(constB91)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14283,plain,
% 13.34/9.41 (v114(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14282, 14281, 4279])).
% 13.34/9.41 tff(14284,plain,
% 13.34/9.41 ((v114(constB91) | v125(constB91)) | (~v114(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14285,plain,
% 13.34/9.41 (v114(constB91) | v125(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14284, 14283])).
% 13.34/9.41 tff(14286,plain,
% 13.34/9.41 ((~(v113(constB91) <=> (v114(constB91) | v125(constB91)))) | v113(constB91) | (~(v114(constB91) | v125(constB91)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14287,plain,
% 13.34/9.41 (v113(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14286, 14285, 4277])).
% 13.34/9.41 tff(14288,plain,
% 13.34/9.41 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB91)) <=> v111(constB91))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14289,plain,
% 13.34/9.41 ((~v126(constB91)) <=> v111(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14288, 1345])).
% 13.34/9.41 tff(14290,plain,
% 13.34/9.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB91) <=> v26(constB91))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14291,plain,
% 13.34/9.41 (v111(constB91) <=> v26(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14290, 1357])).
% 13.34/9.41 tff(14292,plain,
% 13.34/9.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14293,plain,
% 13.34/9.41 (~v26(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14292, 1369])).
% 13.34/9.41 tff(14294,plain,
% 13.34/9.41 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91)) | v26(constB91)),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14295,plain,
% 13.34/9.41 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14294, 14293])).
% 13.34/9.41 tff(14296,plain,
% 13.34/9.41 (~v111(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14295, 14291])).
% 13.34/9.41 tff(14297,plain,
% 13.34/9.41 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91) | v111(constB91)),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14298,plain,
% 13.34/9.41 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14297, 14296])).
% 13.34/9.41 tff(14299,plain,
% 13.34/9.41 (v126(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14298, 14289])).
% 13.34/9.41 tff(14300,plain,
% 13.34/9.41 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91)) | (~v126(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14301,plain,
% 13.34/9.41 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14300, 14299])).
% 13.34/9.41 tff(14302,plain,
% 13.34/9.41 (~((~v113(constB91)) | (~v126(constB91)))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14301, 14287])).
% 13.34/9.41 tff(14303,plain,
% 13.34/9.41 ((~(v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))) | v112(constB91) | ((~v113(constB91)) | (~v126(constB91)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14304,plain,
% 13.34/9.41 (v112(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14303, 14302, 4275])).
% 13.34/9.41 tff(14305,plain,
% 13.34/9.41 ((v111(constB91) | v112(constB91)) | (~v112(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14306,plain,
% 13.34/9.41 (v111(constB91) | v112(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14305, 14304])).
% 13.34/9.41 tff(14307,plain,
% 13.34/9.41 ((~(v108(constB91) <=> (v111(constB91) | v112(constB91)))) | v108(constB91) | (~(v111(constB91) | v112(constB91)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14308,plain,
% 13.34/9.41 (v108(constB91)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14307, 14306, 4273])).
% 13.34/9.41 tff(14309,plain,
% 13.34/9.41 ((~(v110(constB92) <=> v108(constB91))) | v110(constB92) | (~v108(constB91))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14310,plain,
% 13.34/9.41 (v110(constB92)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14309, 14308, 4271])).
% 13.34/9.41 tff(14311,plain,
% 13.34/9.41 ((~((~v101(constB92)) | (~v110(constB92)))) | (~v101(constB92)) | (~v110(constB92))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14312,plain,
% 13.34/9.41 (~((~v101(constB92)) | (~v110(constB92)))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14311, 14310, 4267])).
% 13.34/9.41 tff(14313,plain,
% 13.34/9.41 ((~(v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))) | v100(constB92) | ((~v101(constB92)) | (~v110(constB92)))),
% 13.34/9.41 inference(tautology,[status(thm)],[])).
% 13.34/9.41 tff(14314,plain,
% 13.34/9.41 (v100(constB92)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14313, 14312, 4236])).
% 13.34/9.41 tff(14315,plain,
% 13.34/9.41 (((~![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))))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14316,plain,
% 13.34/9.41 ((~![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))))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14317,plain,
% 13.34/9.41 ((~![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)))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14316, 14315])).
% 13.34/9.41 tff(14318,plain,
% 13.34/9.41 ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14317, 1405])).
% 13.34/9.41 tff(14319,plain,
% 13.34/9.41 (![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14318, 14314])).
% 13.34/9.41 tff(14320,plain,
% 13.34/9.41 (((~![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)))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14321,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14322,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14321, 14320])).
% 13.34/9.41 tff(14323,plain,
% 13.34/9.41 (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14322, 579, 14319])).
% 13.34/9.41 tff(14324,plain,
% 13.34/9.41 (((~![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))))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14325,plain,
% 13.34/9.41 ((~![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))))),
% 13.34/9.41 inference(quant_inst,[status(thm)],[])).
% 13.34/9.41 tff(14326,plain,
% 13.34/9.41 ((~![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)))),
% 13.34/9.41 inference(modus_ponens,[status(thm)],[14325, 14324])).
% 13.34/9.41 tff(14327,plain,
% 13.34/9.41 (![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))),
% 13.34/9.41 inference(unit_resolution,[status(thm)],[14326, 4232, 1427])).
% 13.34/9.41 tff(14328,plain,
% 13.34/9.41 (((~![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)))),
% 13.34/9.41 inference(rewrite,[status(thm)],[])).
% 13.34/9.41 tff(14329,plain,
% 13.34/9.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14330,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 13.34/9.42 tff(14331,plain,
% 13.34/9.42 (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14330, 579, 14327])).
% 13.34/9.42 tff(14332,plain,
% 13.34/9.42 (((~![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))))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14333,plain,
% 13.34/9.42 ((~![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))))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14334,plain,
% 13.34/9.42 ((~![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)))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14333, 14332])).
% 13.34/9.42 tff(14335,plain,
% 13.34/9.42 (![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14334, 1448, 14296])).
% 13.34/9.42 tff(14336,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14337,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14338,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 13.34/9.42 tff(14339,plain,
% 13.34/9.42 (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14338, 579, 14335])).
% 13.34/9.42 tff(14340,plain,
% 13.34/9.42 (((~![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))))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14341,plain,
% 13.34/9.42 ((~![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))))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14342,plain,
% 13.34/9.42 ((~![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)))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14341, 14340])).
% 13.34/9.42 tff(14343,plain,
% 13.34/9.42 ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14342, 2008])).
% 13.34/9.42 tff(14344,plain,
% 13.34/9.42 (![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14343, 14271])).
% 13.34/9.42 tff(14345,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14346,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14347,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 13.34/9.42 tff(14348,plain,
% 13.34/9.42 (v130(constB91, bitIndex2) <=> b100(bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14347, 579, 14344])).
% 13.34/9.42 tff(14349,plain,
% 13.34/9.42 ((~(v130(constB91, bitIndex2) <=> b100(bitIndex2))) | v130(constB91, bitIndex2) | (~b100(bitIndex2))),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14350,plain,
% 13.34/9.42 ((~(v130(constB91, bitIndex2) <=> b100(bitIndex2))) | v130(constB91, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14349, 2020])).
% 13.34/9.42 tff(14351,plain,
% 13.34/9.42 (v130(constB91, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14350, 14348])).
% 13.34/9.42 tff(14352,plain,
% 13.34/9.42 ((~(v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2))) | v127(constB91, bitIndex2) | (~v130(constB91, bitIndex2))),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14353,plain,
% 13.34/9.42 (v127(constB91, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14352, 14351, 14339])).
% 13.34/9.42 tff(14354,plain,
% 13.34/9.42 ((~(v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2))) | v129(constB92, bitIndex2) | (~v127(constB91, bitIndex2))),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14355,plain,
% 13.34/9.42 (v129(constB92, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14354, 14353, 14331])).
% 13.34/9.42 tff(14356,plain,
% 13.34/9.42 ((~(v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2))),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14357,plain,
% 13.34/9.42 (v90(constB92, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14356, 14355, 14323])).
% 13.34/9.42 tff(14358,plain,
% 13.34/9.42 ((~(v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2))) | v90(constB93, bitIndex2) | (~v90(constB92, bitIndex2))),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14359,plain,
% 13.34/9.42 (v90(constB93, bitIndex2)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14358, 14357, 4229])).
% 13.34/9.42 tff(14360,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14361,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14362,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14361, 14360])).
% 13.34/9.42 tff(14363,plain,
% 13.34/9.42 (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14362, 1275, 4225])).
% 13.34/9.42 tff(14364,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14365,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14366,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14365, 14364])).
% 13.34/9.42 tff(14367,plain,
% 13.34/9.42 (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14366, 1275, 14319])).
% 13.34/9.42 tff(14368,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14369,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14370,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 13.34/9.42 tff(14371,plain,
% 13.34/9.42 (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14370, 1275, 14327])).
% 13.34/9.42 tff(14372,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14373,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14374,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14373, 14372])).
% 13.34/9.42 tff(14375,plain,
% 13.34/9.42 (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14374, 1275, 14335])).
% 13.34/9.42 tff(14376,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14377,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14378,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14377, 14376])).
% 13.34/9.42 tff(14379,plain,
% 13.34/9.42 (v130(constB91, bitIndex0) <=> b100(bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14378, 1275, 14344])).
% 13.34/9.42 tff(14380,plain,
% 13.34/9.42 ((~(v130(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB91, bitIndex0)) | b100(bitIndex0)),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14381,plain,
% 13.34/9.42 ((~(v130(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB91, bitIndex0))),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14380, 2054])).
% 13.34/9.42 tff(14382,plain,
% 13.34/9.42 (~v130(constB91, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14381, 14379])).
% 13.34/9.42 tff(14383,plain,
% 13.34/9.42 ((~(v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0))) | (~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14384,plain,
% 13.34/9.42 (~v127(constB91, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14383, 14382, 14375])).
% 13.34/9.42 tff(14385,plain,
% 13.34/9.42 ((~(v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0))) | (~v129(constB92, bitIndex0)) | v127(constB91, bitIndex0)),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14386,plain,
% 13.34/9.42 (~v129(constB92, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14385, 14384, 14371])).
% 13.34/9.42 tff(14387,plain,
% 13.34/9.42 ((~(v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0)),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14388,plain,
% 13.34/9.42 (~v90(constB92, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14387, 14386, 14367])).
% 13.34/9.42 tff(14389,plain,
% 13.34/9.42 ((~(v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0))) | (~v90(constB93, bitIndex0)) | v90(constB92, bitIndex0)),
% 13.34/9.42 inference(tautology,[status(thm)],[])).
% 13.34/9.42 tff(14390,plain,
% 13.34/9.42 (~v90(constB93, bitIndex0)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14389, 14388, 14363])).
% 13.34/9.42 tff(14391,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14392,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14393,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14392, 14391])).
% 13.34/9.42 tff(14394,plain,
% 13.34/9.42 (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14393, 1288, 4225])).
% 13.34/9.42 tff(14395,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14396,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14397,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14396, 14395])).
% 13.34/9.42 tff(14398,plain,
% 13.34/9.42 (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14397, 1288, 14319])).
% 13.34/9.42 tff(14399,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.42 inference(rewrite,[status(thm)],[])).
% 13.34/9.42 tff(14400,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))),
% 13.34/9.42 inference(quant_inst,[status(thm)],[])).
% 13.34/9.42 tff(14401,plain,
% 13.34/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1))),
% 13.34/9.42 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 13.34/9.42 tff(14402,plain,
% 13.34/9.42 (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)),
% 13.34/9.42 inference(unit_resolution,[status(thm)],[14401, 1288, 14327])).
% 13.34/9.42 tff(14403,plain,
% 13.34/9.42 (((~![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)))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14404,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14405,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14404, 14403])).
% 13.34/9.43 tff(14406,plain,
% 13.34/9.43 (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14405, 1288, 14335])).
% 13.34/9.43 tff(14407,plain,
% 13.34/9.43 (((~![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)))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14408,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14409,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14408, 14407])).
% 13.34/9.43 tff(14410,plain,
% 13.34/9.43 (v130(constB91, bitIndex1) <=> b100(bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14409, 1288, 14344])).
% 13.34/9.43 tff(14411,plain,
% 13.34/9.43 ((~(v130(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB91, bitIndex1)) | b100(bitIndex1)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14412,plain,
% 13.34/9.43 ((~(v130(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB91, bitIndex1))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14411, 2088])).
% 13.34/9.43 tff(14413,plain,
% 13.34/9.43 (~v130(constB91, bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14412, 14410])).
% 13.34/9.43 tff(14414,plain,
% 13.34/9.43 ((~(v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1))) | (~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14415,plain,
% 13.34/9.43 (~v127(constB91, bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14414, 14413, 14406])).
% 13.34/9.43 tff(14416,plain,
% 13.34/9.43 ((~(v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1))) | (~v129(constB92, bitIndex1)) | v127(constB91, bitIndex1)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14417,plain,
% 13.34/9.43 (~v129(constB92, bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14416, 14415, 14402])).
% 13.34/9.43 tff(14418,plain,
% 13.34/9.43 ((~(v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14419,plain,
% 13.34/9.43 (~v90(constB92, bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14418, 14417, 14398])).
% 13.34/9.43 tff(14420,plain,
% 13.34/9.43 ((~(v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1))) | (~v90(constB93, bitIndex1)) | v90(constB92, bitIndex1)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14421,plain,
% 13.34/9.43 (~v90(constB93, bitIndex1)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14420, 14419, 14394])).
% 13.34/9.43 tff(14422,plain,
% 13.34/9.43 ((~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))) | (~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14423,plain,
% 13.34/9.43 (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14422, 14421, 14390, 14359])).
% 13.34/9.43 tff(14424,plain,
% 13.34/9.43 ((~(v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))) | v123(constB93) | ((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14425,plain,
% 13.34/9.43 (v123(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14424, 14423, 4197])).
% 13.34/9.43 tff(14426,plain,
% 13.34/9.43 ((v116(constB93) | v123(constB93)) | (~v123(constB93))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14427,plain,
% 13.34/9.43 (v116(constB93) | v123(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14426, 14425])).
% 13.34/9.43 tff(14428,plain,
% 13.34/9.43 ((~(v115(constB93) <=> (v116(constB93) | v123(constB93)))) | v115(constB93) | (~(v116(constB93) | v123(constB93)))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14429,plain,
% 13.34/9.43 (v115(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14428, 14427, 4190])).
% 13.34/9.43 tff(14430,plain,
% 13.34/9.43 ((v115(constB93) | v124(constB93)) | (~v115(constB93))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14431,plain,
% 13.34/9.43 (v115(constB93) | v124(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14430, 14429])).
% 13.34/9.43 tff(14432,plain,
% 13.34/9.43 ((~(v114(constB93) <=> (v115(constB93) | v124(constB93)))) | v114(constB93) | (~(v115(constB93) | v124(constB93)))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14433,plain,
% 13.34/9.43 (v114(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14432, 14431, 4188])).
% 13.34/9.43 tff(14434,plain,
% 13.34/9.43 ((v114(constB93) | v125(constB93)) | (~v114(constB93))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14435,plain,
% 13.34/9.43 (v114(constB93) | v125(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14434, 14433])).
% 13.34/9.43 tff(14436,plain,
% 13.34/9.43 ((~(v113(constB93) <=> (v114(constB93) | v125(constB93)))) | v113(constB93) | (~(v114(constB93) | v125(constB93)))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14437,plain,
% 13.34/9.43 (v113(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14436, 14435, 4186])).
% 13.34/9.43 tff(14438,plain,
% 13.34/9.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB93)) <=> v111(constB93))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14439,plain,
% 13.34/9.43 ((~v126(constB93)) <=> v111(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14438, 1345])).
% 13.34/9.43 tff(14440,plain,
% 13.34/9.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB93) <=> v26(constB93))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14441,plain,
% 13.34/9.43 (v111(constB93) <=> v26(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14440, 1357])).
% 13.34/9.43 tff(14442,plain,
% 13.34/9.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14443,plain,
% 13.34/9.43 (~v26(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14442, 1369])).
% 13.34/9.43 tff(14444,plain,
% 13.34/9.43 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93)) | v26(constB93)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14445,plain,
% 13.34/9.43 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14444, 14443])).
% 13.34/9.43 tff(14446,plain,
% 13.34/9.43 (~v111(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14445, 14441])).
% 13.34/9.43 tff(14447,plain,
% 13.34/9.43 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93) | v111(constB93)),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14448,plain,
% 13.34/9.43 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14447, 14446])).
% 13.34/9.43 tff(14449,plain,
% 13.34/9.43 (v126(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14448, 14439])).
% 13.34/9.43 tff(14450,plain,
% 13.34/9.43 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93)) | (~v126(constB93))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14451,plain,
% 13.34/9.43 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14450, 14449])).
% 13.34/9.43 tff(14452,plain,
% 13.34/9.43 (~((~v113(constB93)) | (~v126(constB93)))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14451, 14437])).
% 13.34/9.43 tff(14453,plain,
% 13.34/9.43 ((~(v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))) | v112(constB93) | ((~v113(constB93)) | (~v126(constB93)))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14454,plain,
% 13.34/9.43 (v112(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14453, 14452, 4184])).
% 13.34/9.43 tff(14455,plain,
% 13.34/9.43 ((v111(constB93) | v112(constB93)) | (~v112(constB93))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14456,plain,
% 13.34/9.43 (v111(constB93) | v112(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14455, 14454])).
% 13.34/9.43 tff(14457,plain,
% 13.34/9.43 ((~(v108(constB93) <=> (v111(constB93) | v112(constB93)))) | v108(constB93) | (~(v111(constB93) | v112(constB93)))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14458,plain,
% 13.34/9.43 (v108(constB93)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14457, 14456, 4182])).
% 13.34/9.43 tff(14459,plain,
% 13.34/9.43 ((~(v110(constB94) <=> v108(constB93))) | v110(constB94) | (~v108(constB93))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14460,plain,
% 13.34/9.43 (v110(constB94)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14459, 14458, 4180])).
% 13.34/9.43 tff(14461,plain,
% 13.34/9.43 ((~((~v101(constB94)) | (~v110(constB94)))) | (~v101(constB94)) | (~v110(constB94))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14462,plain,
% 13.34/9.43 (~((~v101(constB94)) | (~v110(constB94)))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14461, 14460, 4176])).
% 13.34/9.43 tff(14463,plain,
% 13.34/9.43 ((~(v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))) | v100(constB94) | ((~v101(constB94)) | (~v110(constB94)))),
% 13.34/9.43 inference(tautology,[status(thm)],[])).
% 13.34/9.43 tff(14464,plain,
% 13.34/9.43 (v100(constB94)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14463, 14462, 4145])).
% 13.34/9.43 tff(14465,plain,
% 13.34/9.43 (((~![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))))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14466,plain,
% 13.34/9.43 ((~![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))))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14467,plain,
% 13.34/9.43 ((~![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)))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14466, 14465])).
% 13.34/9.43 tff(14468,plain,
% 13.34/9.43 ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14467, 1405])).
% 13.34/9.43 tff(14469,plain,
% 13.34/9.43 (![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14468, 14464])).
% 13.34/9.43 tff(14470,plain,
% 13.34/9.43 (((~![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)))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14471,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14472,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 13.34/9.43 tff(14473,plain,
% 13.34/9.43 (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14472, 579, 14469])).
% 13.34/9.43 tff(14474,plain,
% 13.34/9.43 (((~![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))))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14475,plain,
% 13.34/9.43 ((~![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))))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14476,plain,
% 13.34/9.43 ((~![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)))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 13.34/9.43 tff(14477,plain,
% 13.34/9.43 (![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14476, 4141, 1427])).
% 13.34/9.43 tff(14478,plain,
% 13.34/9.43 (((~![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)))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14479,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14480,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 13.34/9.43 tff(14481,plain,
% 13.34/9.43 (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14480, 579, 14477])).
% 13.34/9.43 tff(14482,plain,
% 13.34/9.43 (((~![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))))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14483,plain,
% 13.34/9.43 ((~![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))))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14484,plain,
% 13.34/9.43 ((~![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)))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14483, 14482])).
% 13.34/9.43 tff(14485,plain,
% 13.34/9.43 (![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14484, 1448, 14446])).
% 13.34/9.43 tff(14486,plain,
% 13.34/9.43 (((~![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)))),
% 13.34/9.43 inference(rewrite,[status(thm)],[])).
% 13.34/9.43 tff(14487,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))),
% 13.34/9.43 inference(quant_inst,[status(thm)],[])).
% 13.34/9.43 tff(14488,plain,
% 13.34/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2))),
% 13.34/9.43 inference(modus_ponens,[status(thm)],[14487, 14486])).
% 13.34/9.43 tff(14489,plain,
% 13.34/9.43 (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)),
% 13.34/9.43 inference(unit_resolution,[status(thm)],[14488, 579, 14485])).
% 13.34/9.43 tff(14490,plain,
% 13.34/9.43 (((~![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))))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14491,plain,
% 13.34/9.44 ((~![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))))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14492,plain,
% 13.34/9.44 ((~![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)))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14491, 14490])).
% 13.34/9.44 tff(14493,plain,
% 13.34/9.44 ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14492, 2180])).
% 13.34/9.44 tff(14494,plain,
% 13.34/9.44 (![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14493, 14425])).
% 13.34/9.44 tff(14495,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14496,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b101(bitIndex2)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14497,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b101(bitIndex2))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 13.34/9.44 tff(14498,plain,
% 13.34/9.44 (v130(constB93, bitIndex2) <=> b101(bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14497, 579, 14494])).
% 13.34/9.44 tff(14499,plain,
% 13.34/9.44 ((~(v130(constB93, bitIndex2) <=> b101(bitIndex2))) | v130(constB93, bitIndex2) | (~b101(bitIndex2))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14500,plain,
% 13.34/9.44 ((~(v130(constB93, bitIndex2) <=> b101(bitIndex2))) | v130(constB93, bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14499, 2192])).
% 13.34/9.44 tff(14501,plain,
% 13.34/9.44 (v130(constB93, bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14500, 14498])).
% 13.34/9.44 tff(14502,plain,
% 13.34/9.44 ((~(v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2))) | v127(constB93, bitIndex2) | (~v130(constB93, bitIndex2))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14503,plain,
% 13.34/9.44 (v127(constB93, bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14502, 14501, 14489])).
% 13.34/9.44 tff(14504,plain,
% 13.34/9.44 ((~(v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2))) | v129(constB94, bitIndex2) | (~v127(constB93, bitIndex2))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14505,plain,
% 13.34/9.44 (v129(constB94, bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14504, 14503, 14481])).
% 13.34/9.44 tff(14506,plain,
% 13.34/9.44 ((~(v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14507,plain,
% 13.34/9.44 (v90(constB94, bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14506, 14505, 14473])).
% 13.34/9.44 tff(14508,plain,
% 13.34/9.44 ((~(v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2))) | v90(constB95, bitIndex2) | (~v90(constB94, bitIndex2))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14509,plain,
% 13.34/9.44 (v90(constB95, bitIndex2)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14508, 14507, 4138])).
% 13.34/9.44 tff(14510,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14511,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14512,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14511, 14510])).
% 13.34/9.44 tff(14513,plain,
% 13.34/9.44 (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14512, 1275, 4134])).
% 13.34/9.44 tff(14514,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14515,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14516,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 13.34/9.44 tff(14517,plain,
% 13.34/9.44 (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14516, 1275, 14469])).
% 13.34/9.44 tff(14518,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14519,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14520,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14519, 14518])).
% 13.34/9.44 tff(14521,plain,
% 13.34/9.44 (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14520, 1275, 14477])).
% 13.34/9.44 tff(14522,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14523,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14524,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 13.34/9.44 tff(14525,plain,
% 13.34/9.44 (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14524, 1275, 14485])).
% 13.34/9.44 tff(14526,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14527,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b101(bitIndex0)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14528,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b101(bitIndex0))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 13.34/9.44 tff(14529,plain,
% 13.34/9.44 (v130(constB93, bitIndex0) <=> b101(bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14528, 1275, 14494])).
% 13.34/9.44 tff(14530,plain,
% 13.34/9.44 ((~(v130(constB93, bitIndex0) <=> b101(bitIndex0))) | v130(constB93, bitIndex0) | (~b101(bitIndex0))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14531,plain,
% 13.34/9.44 ((~(v130(constB93, bitIndex0) <=> b101(bitIndex0))) | v130(constB93, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14530, 2351])).
% 13.34/9.44 tff(14532,plain,
% 13.34/9.44 (v130(constB93, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14531, 14529])).
% 13.34/9.44 tff(14533,plain,
% 13.34/9.44 ((~(v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0))) | v127(constB93, bitIndex0) | (~v130(constB93, bitIndex0))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14534,plain,
% 13.34/9.44 (v127(constB93, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14533, 14532, 14525])).
% 13.34/9.44 tff(14535,plain,
% 13.34/9.44 ((~(v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0))) | v129(constB94, bitIndex0) | (~v127(constB93, bitIndex0))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14536,plain,
% 13.34/9.44 (v129(constB94, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14535, 14534, 14521])).
% 13.34/9.44 tff(14537,plain,
% 13.34/9.44 ((~(v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14538,plain,
% 13.34/9.44 (v90(constB94, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14537, 14536, 14517])).
% 13.34/9.44 tff(14539,plain,
% 13.34/9.44 ((~(v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0))) | v90(constB95, bitIndex0) | (~v90(constB94, bitIndex0))),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14540,plain,
% 13.34/9.44 (v90(constB95, bitIndex0)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14539, 14538, 14513])).
% 13.34/9.44 tff(14541,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14542,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14543,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14542, 14541])).
% 13.34/9.44 tff(14544,plain,
% 13.34/9.44 (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14543, 1288, 4134])).
% 13.34/9.44 tff(14545,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14546,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14547,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 13.34/9.44 tff(14548,plain,
% 13.34/9.44 (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14547, 1288, 14469])).
% 13.34/9.44 tff(14549,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14550,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14551,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14550, 14549])).
% 13.34/9.44 tff(14552,plain,
% 13.34/9.44 (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14551, 1288, 14477])).
% 13.34/9.44 tff(14553,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14554,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14555,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 13.34/9.44 tff(14556,plain,
% 13.34/9.44 (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14555, 1288, 14485])).
% 13.34/9.44 tff(14557,plain,
% 13.34/9.44 (((~![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)))),
% 13.34/9.44 inference(rewrite,[status(thm)],[])).
% 13.34/9.44 tff(14558,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b101(bitIndex1)))),
% 13.34/9.44 inference(quant_inst,[status(thm)],[])).
% 13.34/9.44 tff(14559,plain,
% 13.34/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b101(bitIndex1))),
% 13.34/9.44 inference(modus_ponens,[status(thm)],[14558, 14557])).
% 13.34/9.44 tff(14560,plain,
% 13.34/9.44 (v130(constB93, bitIndex1) <=> b101(bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14559, 1288, 14494])).
% 13.34/9.44 tff(14561,plain,
% 13.34/9.44 ((~(v130(constB93, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB93, bitIndex1)) | b101(bitIndex1)),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14562,plain,
% 13.34/9.44 ((~(v130(constB93, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB93, bitIndex1))),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14561, 2391])).
% 13.34/9.44 tff(14563,plain,
% 13.34/9.44 (~v130(constB93, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14562, 14560])).
% 13.34/9.44 tff(14564,plain,
% 13.34/9.44 ((~(v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1))) | (~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14565,plain,
% 13.34/9.44 (~v127(constB93, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14564, 14563, 14556])).
% 13.34/9.44 tff(14566,plain,
% 13.34/9.44 ((~(v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1))) | (~v129(constB94, bitIndex1)) | v127(constB93, bitIndex1)),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.44 tff(14567,plain,
% 13.34/9.44 (~v129(constB94, bitIndex1)),
% 13.34/9.44 inference(unit_resolution,[status(thm)],[14566, 14565, 14552])).
% 13.34/9.44 tff(14568,plain,
% 13.34/9.44 ((~(v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1)),
% 13.34/9.44 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14569,plain,
% 13.34/9.45 (~v90(constB94, bitIndex1)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14568, 14567, 14548])).
% 13.34/9.45 tff(14570,plain,
% 13.34/9.45 ((~(v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1))) | (~v90(constB95, bitIndex1)) | v90(constB94, bitIndex1)),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14571,plain,
% 13.34/9.45 (~v90(constB95, bitIndex1)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14570, 14569, 14544])).
% 13.34/9.45 tff(14572,plain,
% 13.34/9.45 ((~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))) | (~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14573,plain,
% 13.34/9.45 (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14572, 14571, 14540, 14509])).
% 13.34/9.45 tff(14574,plain,
% 13.34/9.45 ((~(v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) | v124(constB95) | ((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14575,plain,
% 13.34/9.45 (v124(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14574, 14573, 4106])).
% 13.34/9.45 tff(14576,plain,
% 13.34/9.45 ((v115(constB95) | v124(constB95)) | (~v124(constB95))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14577,plain,
% 13.34/9.45 (v115(constB95) | v124(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14576, 14575])).
% 13.34/9.45 tff(14578,plain,
% 13.34/9.45 ((~(v114(constB95) <=> (v115(constB95) | v124(constB95)))) | v114(constB95) | (~(v115(constB95) | v124(constB95)))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14579,plain,
% 13.34/9.45 (v114(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14578, 14577, 4099])).
% 13.34/9.45 tff(14580,plain,
% 13.34/9.45 ((v114(constB95) | v125(constB95)) | (~v114(constB95))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14581,plain,
% 13.34/9.45 (v114(constB95) | v125(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14580, 14579])).
% 13.34/9.45 tff(14582,plain,
% 13.34/9.45 ((~(v113(constB95) <=> (v114(constB95) | v125(constB95)))) | v113(constB95) | (~(v114(constB95) | v125(constB95)))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14583,plain,
% 13.34/9.45 (v113(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14582, 14581, 4097])).
% 13.34/9.45 tff(14584,plain,
% 13.34/9.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB95)) <=> v111(constB95))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14585,plain,
% 13.34/9.45 ((~v126(constB95)) <=> v111(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14584, 1345])).
% 13.34/9.45 tff(14586,plain,
% 13.34/9.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB95) <=> v26(constB95))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14587,plain,
% 13.34/9.45 (v111(constB95) <=> v26(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14586, 1357])).
% 13.34/9.45 tff(14588,plain,
% 13.34/9.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14589,plain,
% 13.34/9.45 (~v26(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14588, 1369])).
% 13.34/9.45 tff(14590,plain,
% 13.34/9.45 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95)) | v26(constB95)),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14591,plain,
% 13.34/9.45 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14590, 14589])).
% 13.34/9.45 tff(14592,plain,
% 13.34/9.45 (~v111(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14591, 14587])).
% 13.34/9.45 tff(14593,plain,
% 13.34/9.45 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95) | v111(constB95)),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14594,plain,
% 13.34/9.45 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14593, 14592])).
% 13.34/9.45 tff(14595,plain,
% 13.34/9.45 (v126(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14594, 14585])).
% 13.34/9.45 tff(14596,plain,
% 13.34/9.45 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95)) | (~v126(constB95))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14597,plain,
% 13.34/9.45 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14596, 14595])).
% 13.34/9.45 tff(14598,plain,
% 13.34/9.45 (~((~v113(constB95)) | (~v126(constB95)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14597, 14583])).
% 13.34/9.45 tff(14599,plain,
% 13.34/9.45 ((~(v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))) | v112(constB95) | ((~v113(constB95)) | (~v126(constB95)))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14600,plain,
% 13.34/9.45 (v112(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14599, 14598, 4095])).
% 13.34/9.45 tff(14601,plain,
% 13.34/9.45 ((v111(constB95) | v112(constB95)) | (~v112(constB95))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14602,plain,
% 13.34/9.45 (v111(constB95) | v112(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14601, 14600])).
% 13.34/9.45 tff(14603,plain,
% 13.34/9.45 ((~(v108(constB95) <=> (v111(constB95) | v112(constB95)))) | v108(constB95) | (~(v111(constB95) | v112(constB95)))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14604,plain,
% 13.34/9.45 (v108(constB95)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14603, 14602, 4093])).
% 13.34/9.45 tff(14605,plain,
% 13.34/9.45 ((~(v110(constB96) <=> v108(constB95))) | v110(constB96) | (~v108(constB95))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14606,plain,
% 13.34/9.45 (v110(constB96)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14605, 14604, 4091])).
% 13.34/9.45 tff(14607,plain,
% 13.34/9.45 ((~((~v101(constB96)) | (~v110(constB96)))) | (~v101(constB96)) | (~v110(constB96))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14608,plain,
% 13.34/9.45 (~((~v101(constB96)) | (~v110(constB96)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14607, 14606, 4087])).
% 13.34/9.45 tff(14609,plain,
% 13.34/9.45 ((~(v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))) | v100(constB96) | ((~v101(constB96)) | (~v110(constB96)))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14610,plain,
% 13.34/9.45 (v100(constB96)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14609, 14608, 4056])).
% 13.34/9.45 tff(14611,plain,
% 13.34/9.45 (((~![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))))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14612,plain,
% 13.34/9.45 ((~![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))))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14613,plain,
% 13.34/9.45 ((~![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)))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 13.34/9.45 tff(14614,plain,
% 13.34/9.45 ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14613, 1405])).
% 13.34/9.45 tff(14615,plain,
% 13.34/9.45 (![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14614, 14610])).
% 13.34/9.45 tff(14616,plain,
% 13.34/9.45 (((~![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)))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14617,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14618,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 13.34/9.45 tff(14619,plain,
% 13.34/9.45 (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14618, 579, 14615])).
% 13.34/9.45 tff(14620,plain,
% 13.34/9.45 (((~![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))))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14621,plain,
% 13.34/9.45 ((~![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))))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14622,plain,
% 13.34/9.45 ((~![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)))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14621, 14620])).
% 13.34/9.45 tff(14623,plain,
% 13.34/9.45 (![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14622, 4052, 1427])).
% 13.34/9.45 tff(14624,plain,
% 13.34/9.45 (((~![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)))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14625,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14626,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 13.34/9.45 tff(14627,plain,
% 13.34/9.45 (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14626, 579, 14623])).
% 13.34/9.45 tff(14628,plain,
% 13.34/9.45 (((~![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))))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14629,plain,
% 13.34/9.45 ((~![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))))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14630,plain,
% 13.34/9.45 ((~![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)))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14629, 14628])).
% 13.34/9.45 tff(14631,plain,
% 13.34/9.45 (![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14630, 1448, 14592])).
% 13.34/9.45 tff(14632,plain,
% 13.34/9.45 (((~![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)))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14633,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14634,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14633, 14632])).
% 13.34/9.45 tff(14635,plain,
% 13.34/9.45 (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14634, 579, 14631])).
% 13.34/9.45 tff(14636,plain,
% 13.34/9.45 (((~![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))))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14637,plain,
% 13.34/9.45 ((~![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))))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14638,plain,
% 13.34/9.45 ((~![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)))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14637, 14636])).
% 13.34/9.45 tff(14639,plain,
% 13.34/9.45 ((~v124(constB95)) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14638, 2735])).
% 13.34/9.45 tff(14640,plain,
% 13.34/9.45 (![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14639, 14575])).
% 13.34/9.45 tff(14641,plain,
% 13.34/9.45 (((~![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)))),
% 13.34/9.45 inference(rewrite,[status(thm)],[])).
% 13.34/9.45 tff(14642,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b110(bitIndex2)))),
% 13.34/9.45 inference(quant_inst,[status(thm)],[])).
% 13.34/9.45 tff(14643,plain,
% 13.34/9.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b110(bitIndex2))),
% 13.34/9.45 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 13.34/9.45 tff(14644,plain,
% 13.34/9.45 (v130(constB95, bitIndex2) <=> b110(bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14643, 579, 14640])).
% 13.34/9.45 tff(14645,plain,
% 13.34/9.45 ((~(v130(constB95, bitIndex2) <=> b110(bitIndex2))) | v130(constB95, bitIndex2) | (~b110(bitIndex2))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14646,plain,
% 13.34/9.45 ((~(v130(constB95, bitIndex2) <=> b110(bitIndex2))) | v130(constB95, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14645, 2747])).
% 13.34/9.45 tff(14647,plain,
% 13.34/9.45 (v130(constB95, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14646, 14644])).
% 13.34/9.45 tff(14648,plain,
% 13.34/9.45 ((~(v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2))) | v127(constB95, bitIndex2) | (~v130(constB95, bitIndex2))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14649,plain,
% 13.34/9.45 (v127(constB95, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14648, 14647, 14635])).
% 13.34/9.45 tff(14650,plain,
% 13.34/9.45 ((~(v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2))) | v129(constB96, bitIndex2) | (~v127(constB95, bitIndex2))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14651,plain,
% 13.34/9.45 (v129(constB96, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14650, 14649, 14627])).
% 13.34/9.45 tff(14652,plain,
% 13.34/9.45 ((~(v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2))),
% 13.34/9.45 inference(tautology,[status(thm)],[])).
% 13.34/9.45 tff(14653,plain,
% 13.34/9.45 (v90(constB96, bitIndex2)),
% 13.34/9.45 inference(unit_resolution,[status(thm)],[14652, 14651, 14619])).
% 13.34/9.46 tff(14654,plain,
% 13.34/9.46 ((~(v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2))) | v90(constB97, bitIndex2) | (~v90(constB96, bitIndex2))),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14655,plain,
% 13.34/9.46 (v90(constB97, bitIndex2)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14654, 14653, 4049])).
% 13.34/9.46 tff(14656,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14657,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14658,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14657, 14656])).
% 13.34/9.46 tff(14659,plain,
% 13.34/9.46 (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14658, 1275, 4045])).
% 13.34/9.46 tff(14660,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14661,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14662,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14661, 14660])).
% 13.34/9.46 tff(14663,plain,
% 13.34/9.46 (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14662, 1275, 14615])).
% 13.34/9.46 tff(14664,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14665,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14666,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14665, 14664])).
% 13.34/9.46 tff(14667,plain,
% 13.34/9.46 (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14666, 1275, 14623])).
% 13.34/9.46 tff(14668,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14669,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14670,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14669, 14668])).
% 13.34/9.46 tff(14671,plain,
% 13.34/9.46 (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14670, 1275, 14631])).
% 13.34/9.46 tff(14672,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14673,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b110(bitIndex0)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14674,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b110(bitIndex0))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 13.34/9.46 tff(14675,plain,
% 13.34/9.46 (v130(constB95, bitIndex0) <=> b110(bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14674, 1275, 14640])).
% 13.34/9.46 tff(14676,plain,
% 13.34/9.46 ((~(v130(constB95, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB95, bitIndex0)) | b110(bitIndex0)),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14677,plain,
% 13.34/9.46 ((~(v130(constB95, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB95, bitIndex0))),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14676, 2862])).
% 13.34/9.46 tff(14678,plain,
% 13.34/9.46 (~v130(constB95, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14677, 14675])).
% 13.34/9.46 tff(14679,plain,
% 13.34/9.46 ((~(v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0))) | (~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14680,plain,
% 13.34/9.46 (~v127(constB95, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14679, 14678, 14671])).
% 13.34/9.46 tff(14681,plain,
% 13.34/9.46 ((~(v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0))) | (~v129(constB96, bitIndex0)) | v127(constB95, bitIndex0)),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14682,plain,
% 13.34/9.46 (~v129(constB96, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14681, 14680, 14667])).
% 13.34/9.46 tff(14683,plain,
% 13.34/9.46 ((~(v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0)),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14684,plain,
% 13.34/9.46 (~v90(constB96, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14683, 14682, 14663])).
% 13.34/9.46 tff(14685,plain,
% 13.34/9.46 ((~(v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0))) | (~v90(constB97, bitIndex0)) | v90(constB96, bitIndex0)),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14686,plain,
% 13.34/9.46 (~v90(constB97, bitIndex0)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14685, 14684, 14659])).
% 13.34/9.46 tff(14687,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14688,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14689,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 13.34/9.46 tff(14690,plain,
% 13.34/9.46 (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14689, 1288, 4045])).
% 13.34/9.46 tff(14691,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14692,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14693,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 13.34/9.46 tff(14694,plain,
% 13.34/9.46 (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14693, 1288, 14615])).
% 13.34/9.46 tff(14695,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14696,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14697,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 13.34/9.46 tff(14698,plain,
% 13.34/9.46 (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14697, 1288, 14623])).
% 13.34/9.46 tff(14699,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14700,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14701,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 13.34/9.46 tff(14702,plain,
% 13.34/9.46 (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14701, 1288, 14631])).
% 13.34/9.46 tff(14703,plain,
% 13.34/9.46 (((~![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)))),
% 13.34/9.46 inference(rewrite,[status(thm)],[])).
% 13.34/9.46 tff(14704,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b110(bitIndex1)))),
% 13.34/9.46 inference(quant_inst,[status(thm)],[])).
% 13.34/9.46 tff(14705,plain,
% 13.34/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b110(bitIndex1))),
% 13.34/9.46 inference(modus_ponens,[status(thm)],[14704, 14703])).
% 13.34/9.46 tff(14706,plain,
% 13.34/9.46 (v130(constB95, bitIndex1) <=> b110(bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14705, 1288, 14640])).
% 13.34/9.46 tff(14707,plain,
% 13.34/9.46 ((~(v130(constB95, bitIndex1) <=> b110(bitIndex1))) | v130(constB95, bitIndex1) | (~b110(bitIndex1))),
% 13.34/9.46 inference(tautology,[status(thm)],[])).
% 13.34/9.46 tff(14708,plain,
% 13.34/9.46 ((~(v130(constB95, bitIndex1) <=> b110(bitIndex1))) | v130(constB95, bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14707, 2902])).
% 13.34/9.46 tff(14709,plain,
% 13.34/9.46 (v130(constB95, bitIndex1)),
% 13.34/9.46 inference(unit_resolution,[status(thm)],[14708, 14706])).
% 13.34/9.46 tff(14710,plain,
% 13.34/9.46 ((~(v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1))) | v127(constB95, bitIndex1) | (~v130(constB95, bitIndex1))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14711,plain,
% 13.34/9.47 (v127(constB95, bitIndex1)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14710, 14709, 14702])).
% 13.34/9.47 tff(14712,plain,
% 13.34/9.47 ((~(v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1))) | v129(constB96, bitIndex1) | (~v127(constB95, bitIndex1))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14713,plain,
% 13.34/9.47 (v129(constB96, bitIndex1)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14712, 14711, 14698])).
% 13.34/9.47 tff(14714,plain,
% 13.34/9.47 ((~(v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14715,plain,
% 13.34/9.47 (v90(constB96, bitIndex1)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14714, 14713, 14694])).
% 13.34/9.47 tff(14716,plain,
% 13.34/9.47 ((~(v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1))) | v90(constB97, bitIndex1) | (~v90(constB96, bitIndex1))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14717,plain,
% 13.34/9.47 (v90(constB97, bitIndex1)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14716, 14715, 14690])).
% 13.34/9.47 tff(14718,plain,
% 13.34/9.47 ((~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14719,plain,
% 13.34/9.47 (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14718, 14717, 14686, 14655])).
% 13.34/9.47 tff(14720,plain,
% 13.34/9.47 ((~(v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))) | v125(constB97) | ((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14721,plain,
% 13.34/9.47 (v125(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14720, 14719, 4017])).
% 13.34/9.47 tff(14722,plain,
% 13.34/9.47 ((v114(constB97) | v125(constB97)) | (~v125(constB97))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14723,plain,
% 13.34/9.47 (v114(constB97) | v125(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14722, 14721])).
% 13.34/9.47 tff(14724,plain,
% 13.34/9.47 ((~(v113(constB97) <=> (v114(constB97) | v125(constB97)))) | v113(constB97) | (~(v114(constB97) | v125(constB97)))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14725,plain,
% 13.34/9.47 (v113(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14724, 14723, 4010])).
% 13.34/9.47 tff(14726,plain,
% 13.34/9.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB97)) <=> v111(constB97))),
% 13.34/9.47 inference(quant_inst,[status(thm)],[])).
% 13.34/9.47 tff(14727,plain,
% 13.34/9.47 ((~v126(constB97)) <=> v111(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14726, 1345])).
% 13.34/9.47 tff(14728,plain,
% 13.34/9.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB97) <=> v26(constB97))),
% 13.34/9.47 inference(quant_inst,[status(thm)],[])).
% 13.34/9.47 tff(14729,plain,
% 13.34/9.47 (v111(constB97) <=> v26(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14728, 1357])).
% 13.34/9.47 tff(14730,plain,
% 13.34/9.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 13.34/9.47 inference(quant_inst,[status(thm)],[])).
% 13.34/9.47 tff(14731,plain,
% 13.34/9.47 (~v26(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14730, 1369])).
% 13.34/9.47 tff(14732,plain,
% 13.34/9.47 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97)) | v26(constB97)),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14733,plain,
% 13.34/9.47 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14732, 14731])).
% 13.34/9.47 tff(14734,plain,
% 13.34/9.47 (~v111(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14733, 14729])).
% 13.34/9.47 tff(14735,plain,
% 13.34/9.47 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97) | v111(constB97)),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14736,plain,
% 13.34/9.47 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14735, 14734])).
% 13.34/9.47 tff(14737,plain,
% 13.34/9.47 (v126(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14736, 14727])).
% 13.34/9.47 tff(14738,plain,
% 13.34/9.47 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97)) | (~v126(constB97))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14739,plain,
% 13.34/9.47 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14738, 14737])).
% 13.34/9.47 tff(14740,plain,
% 13.34/9.47 (~((~v113(constB97)) | (~v126(constB97)))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14739, 14725])).
% 13.34/9.47 tff(14741,plain,
% 13.34/9.47 ((~(v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))) | v112(constB97) | ((~v113(constB97)) | (~v126(constB97)))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14742,plain,
% 13.34/9.47 (v112(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14741, 14740, 4008])).
% 13.34/9.47 tff(14743,plain,
% 13.34/9.47 ((v111(constB97) | v112(constB97)) | (~v112(constB97))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14744,plain,
% 13.34/9.47 (v111(constB97) | v112(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14743, 14742])).
% 13.34/9.47 tff(14745,plain,
% 13.34/9.47 ((~(v108(constB97) <=> (v111(constB97) | v112(constB97)))) | v108(constB97) | (~(v111(constB97) | v112(constB97)))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14746,plain,
% 13.34/9.47 (v108(constB97)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14745, 14744, 4006])).
% 13.34/9.47 tff(14747,plain,
% 13.34/9.47 ((~(v110(constB98) <=> v108(constB97))) | v110(constB98) | (~v108(constB97))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14748,plain,
% 13.34/9.47 (v110(constB98)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14747, 14746, 4004])).
% 13.34/9.47 tff(14749,plain,
% 13.34/9.47 ((~((~v101(constB98)) | (~v110(constB98)))) | (~v101(constB98)) | (~v110(constB98))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14750,plain,
% 13.34/9.47 (~((~v101(constB98)) | (~v110(constB98)))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14749, 14748, 4000])).
% 13.34/9.47 tff(14751,plain,
% 13.34/9.47 ((~(v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))) | v100(constB98) | ((~v101(constB98)) | (~v110(constB98)))),
% 13.34/9.47 inference(tautology,[status(thm)],[])).
% 13.34/9.47 tff(14752,plain,
% 13.34/9.47 (v100(constB98)),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14751, 14750, 3969])).
% 13.34/9.47 tff(14753,plain,
% 13.34/9.47 (((~![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))))),
% 13.34/9.47 inference(rewrite,[status(thm)],[])).
% 13.34/9.47 tff(14754,plain,
% 13.34/9.47 ((~![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))))),
% 13.34/9.47 inference(quant_inst,[status(thm)],[])).
% 13.34/9.47 tff(14755,plain,
% 13.34/9.47 ((~![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)))),
% 13.34/9.47 inference(modus_ponens,[status(thm)],[14754, 14753])).
% 13.34/9.47 tff(14756,plain,
% 13.34/9.47 ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14755, 1405])).
% 13.34/9.47 tff(14757,plain,
% 13.34/9.47 (![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 13.34/9.47 inference(unit_resolution,[status(thm)],[14756, 14752])).
% 13.34/9.47 tff(14758,plain,
% 13.34/9.47 (((~![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)))),
% 13.34/9.47 inference(rewrite,[status(thm)],[])).
% 13.34/9.47 tff(14759,plain,
% 13.34/9.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))),
% 13.34/9.47 inference(quant_inst,[status(thm)],[])).
% 13.34/9.47 tff(14760,plain,
% 13.34/9.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2))),
% 13.43/9.47 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 13.43/9.47 tff(14761,plain,
% 13.43/9.47 (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14760, 579, 14757])).
% 13.43/9.47 tff(14762,plain,
% 13.43/9.47 (((~![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))))),
% 13.43/9.47 inference(rewrite,[status(thm)],[])).
% 13.43/9.47 tff(14763,plain,
% 13.43/9.47 ((~![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))))),
% 13.43/9.47 inference(quant_inst,[status(thm)],[])).
% 13.43/9.47 tff(14764,plain,
% 13.43/9.47 ((~![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)))),
% 13.43/9.47 inference(modus_ponens,[status(thm)],[14763, 14762])).
% 13.43/9.47 tff(14765,plain,
% 13.43/9.47 (![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14764, 3965, 1427])).
% 13.43/9.47 tff(14766,plain,
% 13.43/9.47 (((~![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)))),
% 13.43/9.47 inference(rewrite,[status(thm)],[])).
% 13.43/9.47 tff(14767,plain,
% 13.43/9.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))),
% 13.43/9.47 inference(quant_inst,[status(thm)],[])).
% 13.43/9.47 tff(14768,plain,
% 13.43/9.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2))),
% 13.43/9.47 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 13.43/9.47 tff(14769,plain,
% 13.43/9.47 (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14768, 579, 14765])).
% 13.43/9.47 tff(14770,plain,
% 13.43/9.47 (((~![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))))),
% 13.43/9.47 inference(rewrite,[status(thm)],[])).
% 13.43/9.47 tff(14771,plain,
% 13.43/9.47 ((~![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))))),
% 13.43/9.47 inference(quant_inst,[status(thm)],[])).
% 13.43/9.47 tff(14772,plain,
% 13.43/9.47 ((~![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)))),
% 13.43/9.47 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 13.43/9.47 tff(14773,plain,
% 13.43/9.47 (![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14772, 1448, 14734])).
% 13.43/9.47 tff(14774,plain,
% 13.43/9.47 (((~![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)))),
% 13.43/9.47 inference(rewrite,[status(thm)],[])).
% 13.43/9.47 tff(14775,plain,
% 13.43/9.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))),
% 13.43/9.47 inference(quant_inst,[status(thm)],[])).
% 13.43/9.47 tff(14776,plain,
% 13.43/9.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2))),
% 13.43/9.47 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 13.43/9.47 tff(14777,plain,
% 13.43/9.47 (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14776, 579, 14773])).
% 13.43/9.47 tff(14778,plain,
% 13.43/9.47 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))))),
% 13.43/9.47 inference(quant_inst,[status(thm)],[])).
% 13.43/9.47 tff(14779,plain,
% 13.43/9.47 (v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)))),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14778, 1242])).
% 13.43/9.47 tff(14780,plain,
% 13.43/9.47 ((v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex2))),
% 13.43/9.47 inference(tautology,[status(thm)],[])).
% 13.43/9.47 tff(14781,plain,
% 13.43/9.47 (v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14780, 14655])).
% 13.43/9.47 tff(14782,plain,
% 13.43/9.47 ((~(v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))))) | (~v119(constB97)) | (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)))),
% 13.43/9.47 inference(tautology,[status(thm)],[])).
% 13.43/9.47 tff(14783,plain,
% 13.43/9.47 (~v119(constB97)),
% 13.43/9.47 inference(unit_resolution,[status(thm)],[14782, 14781, 14779])).
% 13.43/9.47 tff(14784,plain,
% 13.43/9.47 (((~![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))))))),
% 13.43/9.47 inference(rewrite,[status(thm)],[])).
% 13.43/9.47 tff(14785,plain,
% 13.43/9.47 ((v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2))))) <=> (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.47 inference(rewrite,[status(thm)],[])).
% 13.43/9.47 tff(14786,plain,
% 13.43/9.47 (((~![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))))))),
% 13.43/9.47 inference(monotonicity,[status(thm)],[14785])).
% 13.43/9.47 tff(14787,plain,
% 13.43/9.47 (((~![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))))))),
% 13.43/9.47 inference(transitivity,[status(thm)],[14786, 14784])).
% 13.43/9.47 tff(14788,plain,
% 13.43/9.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))),
% 13.43/9.48 inference(quant_inst,[status(thm)],[])).
% 13.43/9.48 tff(14789,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.48 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 13.43/9.48 tff(14790,plain,
% 13.43/9.48 (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14789, 2651])).
% 13.43/9.48 tff(14791,plain,
% 13.43/9.48 (((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex1))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14792,plain,
% 13.43/9.48 ((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14791, 14717])).
% 13.43/9.48 tff(14793,plain,
% 13.43/9.48 ((~(v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) | (~v124(constB97)) | (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14794,plain,
% 13.43/9.48 (~v124(constB97)),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14793, 14792, 14790])).
% 13.43/9.48 tff(14795,plain,
% 13.43/9.48 (((~![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)))))),
% 13.43/9.48 inference(rewrite,[status(thm)],[])).
% 13.43/9.48 tff(14796,plain,
% 13.43/9.48 ((v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2))))) <=> (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(rewrite,[status(thm)],[])).
% 13.43/9.48 tff(14797,plain,
% 13.43/9.48 (((~![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)))))),
% 13.43/9.48 inference(monotonicity,[status(thm)],[14796])).
% 13.43/9.48 tff(14798,plain,
% 13.43/9.48 (((~![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)))))),
% 13.43/9.48 inference(transitivity,[status(thm)],[14797, 14795])).
% 13.43/9.48 tff(14799,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))),
% 13.43/9.48 inference(quant_inst,[status(thm)],[])).
% 13.43/9.48 tff(14800,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(modus_ponens,[status(thm)],[14799, 14798])).
% 13.43/9.48 tff(14801,plain,
% 13.43/9.48 (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14800, 787])).
% 13.43/9.48 tff(14802,plain,
% 13.43/9.48 (((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14803,plain,
% 13.43/9.48 ((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14802, 14717])).
% 13.43/9.48 tff(14804,plain,
% 13.43/9.48 ((~(v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))) | (~v123(constB97)) | (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14805,plain,
% 13.43/9.48 (~v123(constB97)),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14804, 14803, 14801])).
% 13.43/9.48 tff(14806,plain,
% 13.43/9.48 (((~![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))))))),
% 13.43/9.48 inference(rewrite,[status(thm)],[])).
% 13.43/9.48 tff(14807,plain,
% 13.43/9.48 ((v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1))))) <=> (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.48 inference(rewrite,[status(thm)],[])).
% 13.43/9.48 tff(14808,plain,
% 13.43/9.48 (((~![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))))))),
% 13.43/9.48 inference(monotonicity,[status(thm)],[14807])).
% 13.43/9.48 tff(14809,plain,
% 13.43/9.48 (((~![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))))))),
% 13.43/9.48 inference(transitivity,[status(thm)],[14808, 14806])).
% 13.43/9.48 tff(14810,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))),
% 13.43/9.48 inference(quant_inst,[status(thm)],[])).
% 13.43/9.48 tff(14811,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.48 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 13.43/9.48 tff(14812,plain,
% 13.43/9.48 (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14811, 900])).
% 13.43/9.48 tff(14813,plain,
% 13.43/9.48 ((v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14814,plain,
% 13.43/9.48 (v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14813, 14655])).
% 13.43/9.48 tff(14815,plain,
% 13.43/9.48 ((~(v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))) | (~v122(constB97)) | (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14816,plain,
% 13.43/9.48 (~v122(constB97)),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14815, 14814, 14812])).
% 13.43/9.48 tff(14817,plain,
% 13.43/9.48 (((~![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)))))),
% 13.43/9.48 inference(rewrite,[status(thm)],[])).
% 13.43/9.48 tff(14818,plain,
% 13.43/9.48 ((v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1))))) <=> (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(rewrite,[status(thm)],[])).
% 13.43/9.48 tff(14819,plain,
% 13.43/9.48 (((~![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)))))),
% 13.43/9.48 inference(monotonicity,[status(thm)],[14818])).
% 13.43/9.48 tff(14820,plain,
% 13.43/9.48 (((~![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)))))),
% 13.43/9.48 inference(transitivity,[status(thm)],[14819, 14817])).
% 13.43/9.48 tff(14821,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))),
% 13.43/9.48 inference(quant_inst,[status(thm)],[])).
% 13.43/9.48 tff(14822,plain,
% 13.43/9.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 13.43/9.48 inference(modus_ponens,[status(thm)],[14821, 14820])).
% 13.43/9.48 tff(14823,plain,
% 13.43/9.48 (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14822, 1015])).
% 13.43/9.48 tff(14824,plain,
% 13.43/9.48 ((v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14825,plain,
% 13.43/9.48 (v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14824, 14655])).
% 13.43/9.48 tff(14826,plain,
% 13.43/9.48 ((~(v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))) | (~v121(constB97)) | (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))),
% 13.43/9.48 inference(tautology,[status(thm)],[])).
% 13.43/9.48 tff(14827,plain,
% 13.43/9.48 (~v121(constB97)),
% 13.43/9.48 inference(unit_resolution,[status(thm)],[14826, 14825, 14823])).
% 13.43/9.48 tff(14828,plain,
% 13.43/9.48 (((~![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))))))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14829,plain,
% 13.43/9.49 ((v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))))) <=> (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14830,plain,
% 13.43/9.49 (((~![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))))))),
% 13.43/9.49 inference(monotonicity,[status(thm)],[14829])).
% 13.43/9.49 tff(14831,plain,
% 13.43/9.49 (((~![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))))))),
% 13.43/9.49 inference(transitivity,[status(thm)],[14830, 14828])).
% 13.43/9.49 tff(14832,plain,
% 13.43/9.49 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.49 inference(quant_inst,[status(thm)],[])).
% 13.43/9.49 tff(14833,plain,
% 13.43/9.49 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 13.43/9.49 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 13.43/9.49 tff(14834,plain,
% 13.43/9.49 (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14833, 1132])).
% 13.43/9.49 tff(14835,plain,
% 13.43/9.49 ((v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2))),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14836,plain,
% 13.43/9.49 (v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14835, 14655])).
% 13.43/9.49 tff(14837,plain,
% 13.43/9.49 ((~(v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) | (~v120(constB97)) | (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14838,plain,
% 13.43/9.49 (~v120(constB97)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14837, 14836, 14834])).
% 13.43/9.49 tff(14839,plain,
% 13.43/9.49 (((~![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))))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14840,plain,
% 13.43/9.49 ((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))))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14841,plain,
% 13.43/9.49 (((~![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)))))),
% 13.43/9.49 inference(monotonicity,[status(thm)],[14840])).
% 13.43/9.49 tff(14842,plain,
% 13.43/9.49 (((~![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))))),
% 13.43/9.49 inference(transitivity,[status(thm)],[14841, 14839])).
% 13.43/9.49 tff(14843,plain,
% 13.43/9.49 ((~![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))))),
% 13.43/9.49 inference(quant_inst,[status(thm)],[])).
% 13.43/9.49 tff(14844,plain,
% 13.43/9.49 ((~![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)))),
% 13.43/9.49 inference(modus_ponens,[status(thm)],[14843, 14842])).
% 13.43/9.49 tff(14845,plain,
% 13.43/9.49 (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14844, 8006])).
% 13.43/9.49 tff(14846,plain,
% 13.43/9.49 (![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14845, 14838, 14827, 14816, 14805, 14794, 14783])).
% 13.43/9.49 tff(14847,plain,
% 13.43/9.49 (((~![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)))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14848,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b001(bitIndex2)))),
% 13.43/9.49 inference(quant_inst,[status(thm)],[])).
% 13.43/9.49 tff(14849,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b001(bitIndex2))),
% 13.43/9.49 inference(modus_ponens,[status(thm)],[14848, 14847])).
% 13.43/9.49 tff(14850,plain,
% 13.43/9.49 (v130(constB97, bitIndex2) <=> b001(bitIndex2)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14849, 579, 14846])).
% 13.43/9.49 tff(14851,plain,
% 13.43/9.49 ((~(v130(constB97, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB97, bitIndex2)) | b001(bitIndex2)),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14852,plain,
% 13.43/9.49 ((~(v130(constB97, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB97, bitIndex2))),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14851, 1480])).
% 13.43/9.49 tff(14853,plain,
% 13.43/9.49 (~v130(constB97, bitIndex2)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14852, 14850])).
% 13.43/9.49 tff(14854,plain,
% 13.43/9.49 ((~(v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2))) | (~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14855,plain,
% 13.43/9.49 (~v127(constB97, bitIndex2)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14854, 14853, 14777])).
% 13.43/9.49 tff(14856,plain,
% 13.43/9.49 ((~(v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2))) | (~v129(constB98, bitIndex2)) | v127(constB97, bitIndex2)),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14857,plain,
% 13.43/9.49 (~v129(constB98, bitIndex2)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14856, 14855, 14769])).
% 13.43/9.49 tff(14858,plain,
% 13.43/9.49 ((~(v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14859,plain,
% 13.43/9.49 (~v90(constB98, bitIndex2)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14858, 14857, 14761])).
% 13.43/9.49 tff(14860,plain,
% 13.43/9.49 ((~(v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2))) | (~v90(constB99, bitIndex2)) | v90(constB98, bitIndex2)),
% 13.43/9.49 inference(tautology,[status(thm)],[])).
% 13.43/9.49 tff(14861,plain,
% 13.43/9.49 (~v90(constB99, bitIndex2)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14860, 14859, 3962])).
% 13.43/9.49 tff(14862,plain,
% 13.43/9.49 (((~![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)))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14863,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))),
% 13.43/9.49 inference(quant_inst,[status(thm)],[])).
% 13.43/9.49 tff(14864,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0))),
% 13.43/9.49 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 13.43/9.49 tff(14865,plain,
% 13.43/9.49 (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14864, 1275, 3958])).
% 13.43/9.49 tff(14866,plain,
% 13.43/9.49 (((~![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)))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14867,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))),
% 13.43/9.49 inference(quant_inst,[status(thm)],[])).
% 13.43/9.49 tff(14868,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0))),
% 13.43/9.49 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 13.43/9.49 tff(14869,plain,
% 13.43/9.49 (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)),
% 13.43/9.49 inference(unit_resolution,[status(thm)],[14868, 1275, 14757])).
% 13.43/9.49 tff(14870,plain,
% 13.43/9.49 (((~![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)))),
% 13.43/9.49 inference(rewrite,[status(thm)],[])).
% 13.43/9.49 tff(14871,plain,
% 13.43/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))),
% 13.46/9.49 inference(quant_inst,[status(thm)],[])).
% 13.46/9.49 tff(14872,plain,
% 13.46/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0))),
% 13.46/9.49 inference(modus_ponens,[status(thm)],[14871, 14870])).
% 13.46/9.49 tff(14873,plain,
% 13.46/9.49 (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14872, 1275, 14765])).
% 13.46/9.49 tff(14874,plain,
% 13.46/9.49 (((~![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)))),
% 13.46/9.49 inference(rewrite,[status(thm)],[])).
% 13.46/9.49 tff(14875,plain,
% 13.46/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))),
% 13.46/9.49 inference(quant_inst,[status(thm)],[])).
% 13.46/9.49 tff(14876,plain,
% 13.46/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0))),
% 13.46/9.49 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 13.46/9.49 tff(14877,plain,
% 13.46/9.49 (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14876, 1275, 14773])).
% 13.46/9.49 tff(14878,plain,
% 13.46/9.49 (((~![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)))),
% 13.46/9.49 inference(rewrite,[status(thm)],[])).
% 13.46/9.49 tff(14879,plain,
% 13.46/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b001(bitIndex0)))),
% 13.46/9.49 inference(quant_inst,[status(thm)],[])).
% 13.46/9.49 tff(14880,plain,
% 13.46/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b001(bitIndex0))),
% 13.46/9.49 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 13.46/9.49 tff(14881,plain,
% 13.46/9.49 (v130(constB97, bitIndex0) <=> b001(bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14880, 1275, 14846])).
% 13.46/9.49 tff(14882,plain,
% 13.46/9.49 ((~(v130(constB97, bitIndex0) <=> b001(bitIndex0))) | v130(constB97, bitIndex0) | (~b001(bitIndex0))),
% 13.46/9.49 inference(tautology,[status(thm)],[])).
% 13.46/9.49 tff(14883,plain,
% 13.46/9.49 ((~(v130(constB97, bitIndex0) <=> b001(bitIndex0))) | v130(constB97, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14882, 1514])).
% 13.46/9.49 tff(14884,plain,
% 13.46/9.49 (v130(constB97, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14883, 14881])).
% 13.46/9.49 tff(14885,plain,
% 13.46/9.49 ((~(v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0))) | v127(constB97, bitIndex0) | (~v130(constB97, bitIndex0))),
% 13.46/9.49 inference(tautology,[status(thm)],[])).
% 13.46/9.49 tff(14886,plain,
% 13.46/9.49 (v127(constB97, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14885, 14884, 14877])).
% 13.46/9.49 tff(14887,plain,
% 13.46/9.49 ((~(v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0))) | v129(constB98, bitIndex0) | (~v127(constB97, bitIndex0))),
% 13.46/9.49 inference(tautology,[status(thm)],[])).
% 13.46/9.49 tff(14888,plain,
% 13.46/9.49 (v129(constB98, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14887, 14886, 14873])).
% 13.46/9.49 tff(14889,plain,
% 13.46/9.49 ((~(v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0))),
% 13.46/9.49 inference(tautology,[status(thm)],[])).
% 13.46/9.49 tff(14890,plain,
% 13.46/9.49 (v90(constB98, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14889, 14888, 14869])).
% 13.46/9.49 tff(14891,plain,
% 13.46/9.49 ((~(v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0))) | v90(constB99, bitIndex0) | (~v90(constB98, bitIndex0))),
% 13.46/9.49 inference(tautology,[status(thm)],[])).
% 13.46/9.49 tff(14892,plain,
% 13.46/9.49 (v90(constB99, bitIndex0)),
% 13.46/9.49 inference(unit_resolution,[status(thm)],[14891, 14890, 14865])).
% 13.46/9.49 tff(14893,plain,
% 13.46/9.49 (((~![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)))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14894,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14895,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 13.46/9.50 tff(14896,plain,
% 13.46/9.50 (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14895, 1288, 3958])).
% 13.46/9.50 tff(14897,plain,
% 13.46/9.50 (((~![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)))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14898,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14899,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 13.46/9.50 tff(14900,plain,
% 13.46/9.50 (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14899, 1288, 14757])).
% 13.46/9.50 tff(14901,plain,
% 13.46/9.50 (((~![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)))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14902,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14903,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 13.46/9.50 tff(14904,plain,
% 13.46/9.50 (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14903, 1288, 14765])).
% 13.46/9.50 tff(14905,plain,
% 13.46/9.50 (((~![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)))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14906,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14907,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 13.46/9.50 tff(14908,plain,
% 13.46/9.50 (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14907, 1288, 14773])).
% 13.46/9.50 tff(14909,plain,
% 13.46/9.50 (((~![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)))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14910,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b001(bitIndex1)))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14911,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b001(bitIndex1))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 13.46/9.50 tff(14912,plain,
% 13.46/9.50 (v130(constB97, bitIndex1) <=> b001(bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14911, 1288, 14846])).
% 13.46/9.50 tff(14913,plain,
% 13.46/9.50 ((~(v130(constB97, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB97, bitIndex1)) | b001(bitIndex1)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14914,plain,
% 13.46/9.50 ((~(v130(constB97, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB97, bitIndex1))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14913, 1548])).
% 13.46/9.50 tff(14915,plain,
% 13.46/9.50 (~v130(constB97, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14914, 14912])).
% 13.46/9.50 tff(14916,plain,
% 13.46/9.50 ((~(v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1))) | (~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14917,plain,
% 13.46/9.50 (~v127(constB97, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14916, 14915, 14908])).
% 13.46/9.50 tff(14918,plain,
% 13.46/9.50 ((~(v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1))) | (~v129(constB98, bitIndex1)) | v127(constB97, bitIndex1)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14919,plain,
% 13.46/9.50 (~v129(constB98, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14918, 14917, 14904])).
% 13.46/9.50 tff(14920,plain,
% 13.46/9.50 ((~(v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14921,plain,
% 13.46/9.50 (~v90(constB98, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14920, 14919, 14900])).
% 13.46/9.50 tff(14922,plain,
% 13.46/9.50 ((~(v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1))) | (~v90(constB99, bitIndex1)) | v90(constB98, bitIndex1)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14923,plain,
% 13.46/9.50 (~v90(constB99, bitIndex1)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14922, 14921, 14896])).
% 13.46/9.50 tff(14924,plain,
% 13.46/9.50 ((~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))) | v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14925,plain,
% 13.46/9.50 (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14924, 14923, 14892, 14861])).
% 13.46/9.50 tff(14926,plain,
% 13.46/9.50 ((~(v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))) | v120(constB99) | (v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14927,plain,
% 13.46/9.50 (v120(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14926, 14925, 3930])).
% 13.46/9.50 tff(14928,plain,
% 13.46/9.50 ((v119(constB99) | v120(constB99)) | (~v120(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14929,plain,
% 13.46/9.50 (v119(constB99) | v120(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14928, 14927])).
% 13.46/9.50 tff(14930,plain,
% 13.46/9.50 ((~(v118(constB99) <=> (v119(constB99) | v120(constB99)))) | v118(constB99) | (~(v119(constB99) | v120(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14931,plain,
% 13.46/9.50 (v118(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14930, 14929, 3923])).
% 13.46/9.50 tff(14932,plain,
% 13.46/9.50 ((v118(constB99) | v121(constB99)) | (~v118(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14933,plain,
% 13.46/9.50 (v118(constB99) | v121(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14932, 14931])).
% 13.46/9.50 tff(14934,plain,
% 13.46/9.50 ((~(v117(constB99) <=> (v118(constB99) | v121(constB99)))) | v117(constB99) | (~(v118(constB99) | v121(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14935,plain,
% 13.46/9.50 (v117(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14934, 14933, 3921])).
% 13.46/9.50 tff(14936,plain,
% 13.46/9.50 ((v117(constB99) | v122(constB99)) | (~v117(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14937,plain,
% 13.46/9.50 (v117(constB99) | v122(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14936, 14935])).
% 13.46/9.50 tff(14938,plain,
% 13.46/9.50 ((~(v116(constB99) <=> (v117(constB99) | v122(constB99)))) | v116(constB99) | (~(v117(constB99) | v122(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14939,plain,
% 13.46/9.50 (v116(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14938, 14937, 3919])).
% 13.46/9.50 tff(14940,plain,
% 13.46/9.50 ((v116(constB99) | v123(constB99)) | (~v116(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14941,plain,
% 13.46/9.50 (v116(constB99) | v123(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14940, 14939])).
% 13.46/9.50 tff(14942,plain,
% 13.46/9.50 ((~(v115(constB99) <=> (v116(constB99) | v123(constB99)))) | v115(constB99) | (~(v116(constB99) | v123(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14943,plain,
% 13.46/9.50 (v115(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14942, 14941, 3917])).
% 13.46/9.50 tff(14944,plain,
% 13.46/9.50 ((v115(constB99) | v124(constB99)) | (~v115(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14945,plain,
% 13.46/9.50 (v115(constB99) | v124(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14944, 14943])).
% 13.46/9.50 tff(14946,plain,
% 13.46/9.50 ((~(v114(constB99) <=> (v115(constB99) | v124(constB99)))) | v114(constB99) | (~(v115(constB99) | v124(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14947,plain,
% 13.46/9.50 (v114(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14946, 14945, 3915])).
% 13.46/9.50 tff(14948,plain,
% 13.46/9.50 ((v114(constB99) | v125(constB99)) | (~v114(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14949,plain,
% 13.46/9.50 (v114(constB99) | v125(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14948, 14947])).
% 13.46/9.50 tff(14950,plain,
% 13.46/9.50 ((~(v113(constB99) <=> (v114(constB99) | v125(constB99)))) | v113(constB99) | (~(v114(constB99) | v125(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14951,plain,
% 13.46/9.50 (v113(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14950, 14949, 3913])).
% 13.46/9.50 tff(14952,plain,
% 13.46/9.50 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB99)) <=> v111(constB99))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14953,plain,
% 13.46/9.50 ((~v126(constB99)) <=> v111(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14952, 1345])).
% 13.46/9.50 tff(14954,plain,
% 13.46/9.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB99) <=> v26(constB99))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14955,plain,
% 13.46/9.50 (v111(constB99) <=> v26(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14954, 1357])).
% 13.46/9.50 tff(14956,plain,
% 13.46/9.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14957,plain,
% 13.46/9.50 (~v26(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14956, 1369])).
% 13.46/9.50 tff(14958,plain,
% 13.46/9.50 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99)) | v26(constB99)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14959,plain,
% 13.46/9.50 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14958, 14957])).
% 13.46/9.50 tff(14960,plain,
% 13.46/9.50 (~v111(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14959, 14955])).
% 13.46/9.50 tff(14961,plain,
% 13.46/9.50 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99) | v111(constB99)),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14962,plain,
% 13.46/9.50 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14961, 14960])).
% 13.46/9.50 tff(14963,plain,
% 13.46/9.50 (v126(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14962, 14953])).
% 13.46/9.50 tff(14964,plain,
% 13.46/9.50 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99)) | (~v126(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14965,plain,
% 13.46/9.50 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14964, 14963])).
% 13.46/9.50 tff(14966,plain,
% 13.46/9.50 (~((~v113(constB99)) | (~v126(constB99)))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14965, 14951])).
% 13.46/9.50 tff(14967,plain,
% 13.46/9.50 ((~(v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))) | v112(constB99) | ((~v113(constB99)) | (~v126(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14968,plain,
% 13.46/9.50 (v112(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14967, 14966, 3911])).
% 13.46/9.50 tff(14969,plain,
% 13.46/9.50 ((v111(constB99) | v112(constB99)) | (~v112(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14970,plain,
% 13.46/9.50 (v111(constB99) | v112(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14969, 14968])).
% 13.46/9.50 tff(14971,plain,
% 13.46/9.50 ((~(v108(constB99) <=> (v111(constB99) | v112(constB99)))) | v108(constB99) | (~(v111(constB99) | v112(constB99)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14972,plain,
% 13.46/9.50 (v108(constB99)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14971, 14970, 3909])).
% 13.46/9.50 tff(14973,plain,
% 13.46/9.50 ((~(v110(constB100) <=> v108(constB99))) | v110(constB100) | (~v108(constB99))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14974,plain,
% 13.46/9.50 (v110(constB100)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14973, 14972, 3907])).
% 13.46/9.50 tff(14975,plain,
% 13.46/9.50 ((~((~v101(constB100)) | (~v110(constB100)))) | (~v101(constB100)) | (~v110(constB100))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14976,plain,
% 13.46/9.50 (~((~v101(constB100)) | (~v110(constB100)))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14975, 14974, 3903])).
% 13.46/9.50 tff(14977,plain,
% 13.46/9.50 ((~(v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))) | v100(constB100) | ((~v101(constB100)) | (~v110(constB100)))),
% 13.46/9.50 inference(tautology,[status(thm)],[])).
% 13.46/9.50 tff(14978,plain,
% 13.46/9.50 (v100(constB100)),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14977, 14976, 3872])).
% 13.46/9.50 tff(14979,plain,
% 13.46/9.50 (((~![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))))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14980,plain,
% 13.46/9.50 ((~![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))))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14981,plain,
% 13.46/9.50 ((~![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)))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14980, 14979])).
% 13.46/9.50 tff(14982,plain,
% 13.46/9.50 ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14981, 1405])).
% 13.46/9.50 tff(14983,plain,
% 13.46/9.50 (![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 13.46/9.50 inference(unit_resolution,[status(thm)],[14982, 14978])).
% 13.46/9.50 tff(14984,plain,
% 13.46/9.50 (((~![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)))),
% 13.46/9.50 inference(rewrite,[status(thm)],[])).
% 13.46/9.50 tff(14985,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))),
% 13.46/9.50 inference(quant_inst,[status(thm)],[])).
% 13.46/9.50 tff(14986,plain,
% 13.46/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2))),
% 13.46/9.50 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 13.46/9.51 tff(14987,plain,
% 13.46/9.51 (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[14986, 579, 14983])).
% 13.46/9.51 tff(14988,plain,
% 13.46/9.51 (((~![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))))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(14989,plain,
% 13.46/9.51 ((~![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))))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(14990,plain,
% 13.46/9.51 ((~![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)))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 13.46/9.51 tff(14991,plain,
% 13.46/9.51 (![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[14990, 3868, 1427])).
% 13.46/9.51 tff(14992,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(14993,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(14994,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[14993, 14992])).
% 13.46/9.51 tff(14995,plain,
% 13.46/9.51 (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[14994, 579, 14991])).
% 13.46/9.51 tff(14996,plain,
% 13.46/9.51 (((~![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))))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(14997,plain,
% 13.46/9.51 ((~![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))))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(14998,plain,
% 13.46/9.51 ((~![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)))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[14997, 14996])).
% 13.46/9.51 tff(14999,plain,
% 13.46/9.51 (![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[14998, 1448, 14960])).
% 13.46/9.51 tff(15000,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15001,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15002,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 13.46/9.51 tff(15003,plain,
% 13.46/9.51 (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15002, 579, 14999])).
% 13.46/9.51 tff(15004,plain,
% 13.46/9.51 (((~![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))))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15005,plain,
% 13.46/9.51 ((~![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))))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15006,plain,
% 13.46/9.51 ((~![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)))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15005, 15004])).
% 13.46/9.51 tff(15007,plain,
% 13.46/9.51 ((~v120(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15006, 1652])).
% 13.46/9.51 tff(15008,plain,
% 13.46/9.51 (![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15007, 14927])).
% 13.46/9.51 tff(15009,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15010,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b010(bitIndex2)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15011,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b010(bitIndex2))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 13.46/9.51 tff(15012,plain,
% 13.46/9.51 (v130(constB99, bitIndex2) <=> b010(bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15011, 579, 15008])).
% 13.46/9.51 tff(15013,plain,
% 13.46/9.51 ((~(v130(constB99, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB99, bitIndex2)) | b010(bitIndex2)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15014,plain,
% 13.46/9.51 ((~(v130(constB99, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB99, bitIndex2))),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15013, 1664])).
% 13.46/9.51 tff(15015,plain,
% 13.46/9.51 (~v130(constB99, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15014, 15012])).
% 13.46/9.51 tff(15016,plain,
% 13.46/9.51 ((~(v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2))) | (~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15017,plain,
% 13.46/9.51 (~v127(constB99, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15016, 15015, 15003])).
% 13.46/9.51 tff(15018,plain,
% 13.46/9.51 ((~(v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2))) | (~v129(constB100, bitIndex2)) | v127(constB99, bitIndex2)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15019,plain,
% 13.46/9.51 (~v129(constB100, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15018, 15017, 14995])).
% 13.46/9.51 tff(15020,plain,
% 13.46/9.51 ((~(v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15021,plain,
% 13.46/9.51 (~v90(constB100, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15020, 15019, 14987])).
% 13.46/9.51 tff(15022,plain,
% 13.46/9.51 ((~(v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2))) | (~v90(constB101, bitIndex2)) | v90(constB100, bitIndex2)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15023,plain,
% 13.46/9.51 (~v90(constB101, bitIndex2)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15022, 15021, 3865])).
% 13.46/9.51 tff(15024,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15025,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15026,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 13.46/9.51 tff(15027,plain,
% 13.46/9.51 (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15026, 1275, 3861])).
% 13.46/9.51 tff(15028,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15029,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15030,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 13.46/9.51 tff(15031,plain,
% 13.46/9.51 (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15030, 1275, 14983])).
% 13.46/9.51 tff(15032,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15033,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15034,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 13.46/9.51 tff(15035,plain,
% 13.46/9.51 (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15034, 1275, 14991])).
% 13.46/9.51 tff(15036,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15037,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15038,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 13.46/9.51 tff(15039,plain,
% 13.46/9.51 (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15038, 1275, 14999])).
% 13.46/9.51 tff(15040,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15041,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b010(bitIndex0)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15042,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b010(bitIndex0))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 13.46/9.51 tff(15043,plain,
% 13.46/9.51 (v130(constB99, bitIndex0) <=> b010(bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15042, 1275, 15008])).
% 13.46/9.51 tff(15044,plain,
% 13.46/9.51 ((~(v130(constB99, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB99, bitIndex0)) | b010(bitIndex0)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15045,plain,
% 13.46/9.51 ((~(v130(constB99, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB99, bitIndex0))),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15044, 1698])).
% 13.46/9.51 tff(15046,plain,
% 13.46/9.51 (~v130(constB99, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15045, 15043])).
% 13.46/9.51 tff(15047,plain,
% 13.46/9.51 ((~(v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0))) | (~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15048,plain,
% 13.46/9.51 (~v127(constB99, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15047, 15046, 15039])).
% 13.46/9.51 tff(15049,plain,
% 13.46/9.51 ((~(v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0))) | (~v129(constB100, bitIndex0)) | v127(constB99, bitIndex0)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15050,plain,
% 13.46/9.51 (~v129(constB100, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15049, 15048, 15035])).
% 13.46/9.51 tff(15051,plain,
% 13.46/9.51 ((~(v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15052,plain,
% 13.46/9.51 (~v90(constB100, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15051, 15050, 15031])).
% 13.46/9.51 tff(15053,plain,
% 13.46/9.51 ((~(v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0))) | (~v90(constB101, bitIndex0)) | v90(constB100, bitIndex0)),
% 13.46/9.51 inference(tautology,[status(thm)],[])).
% 13.46/9.51 tff(15054,plain,
% 13.46/9.51 (~v90(constB101, bitIndex0)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15053, 15052, 15027])).
% 13.46/9.51 tff(15055,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.51 inference(rewrite,[status(thm)],[])).
% 13.46/9.51 tff(15056,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))),
% 13.46/9.51 inference(quant_inst,[status(thm)],[])).
% 13.46/9.51 tff(15057,plain,
% 13.46/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1))),
% 13.46/9.51 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 13.46/9.51 tff(15058,plain,
% 13.46/9.51 (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)),
% 13.46/9.51 inference(unit_resolution,[status(thm)],[15057, 1288, 3861])).
% 13.46/9.51 tff(15059,plain,
% 13.46/9.51 (((~![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)))),
% 13.46/9.52 inference(rewrite,[status(thm)],[])).
% 13.46/9.52 tff(15060,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))),
% 13.46/9.52 inference(quant_inst,[status(thm)],[])).
% 13.46/9.52 tff(15061,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1))),
% 13.46/9.52 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 13.46/9.52 tff(15062,plain,
% 13.46/9.52 (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)),
% 13.46/9.52 inference(unit_resolution,[status(thm)],[15061, 1288, 14983])).
% 13.46/9.52 tff(15063,plain,
% 13.46/9.52 (((~![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)))),
% 13.46/9.52 inference(rewrite,[status(thm)],[])).
% 13.46/9.52 tff(15064,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))),
% 13.46/9.52 inference(quant_inst,[status(thm)],[])).
% 13.46/9.52 tff(15065,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1))),
% 13.46/9.52 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 13.46/9.52 tff(15066,plain,
% 13.46/9.52 (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)),
% 13.46/9.52 inference(unit_resolution,[status(thm)],[15065, 1288, 14991])).
% 13.46/9.52 tff(15067,plain,
% 13.46/9.52 (((~![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)))),
% 13.46/9.52 inference(rewrite,[status(thm)],[])).
% 13.46/9.52 tff(15068,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))),
% 13.46/9.52 inference(quant_inst,[status(thm)],[])).
% 13.46/9.52 tff(15069,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1))),
% 13.46/9.52 inference(modus_ponens,[status(thm)],[15068, 15067])).
% 13.46/9.52 tff(15070,plain,
% 13.46/9.52 (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)),
% 13.46/9.52 inference(unit_resolution,[status(thm)],[15069, 1288, 14999])).
% 13.46/9.52 tff(15071,plain,
% 13.46/9.52 (((~![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)))),
% 13.46/9.52 inference(rewrite,[status(thm)],[])).
% 13.46/9.52 tff(15072,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b010(bitIndex1)))),
% 13.46/9.52 inference(quant_inst,[status(thm)],[])).
% 13.46/9.52 tff(15073,plain,
% 13.46/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b010(bitIndex1))),
% 13.46/9.52 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 13.46/9.52 tff(15074,plain,
% 13.46/9.52 (v130(constB99, bitIndex1) <=> b010(bitIndex1)),
% 13.46/9.52 inference(unit_resolution,[status(thm)],[15073, 1288, 15008])).
% 13.46/9.52 tff(15075,plain,
% 13.46/9.52 ((~(v130(constB99, bitIndex1) <=> b010(bitIndex1))) | v130(constB99, bitIndex1) | (~b010(bitIndex1))),
% 13.46/9.52 inference(tautology,[status(thm)],[])).
% 13.46/9.52 tff(15076,plain,
% 13.46/9.52 ((~(v130(constB99, bitIndex1) <=> b010(bitIndex1))) | v130(constB99, bitIndex1)),
% 13.46/9.52 inference(unit_resolution,[status(thm)],[15075, 1732])).
% 13.48/9.52 tff(15077,plain,
% 13.48/9.52 (v130(constB99, bitIndex1)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15076, 15074])).
% 13.48/9.52 tff(15078,plain,
% 13.48/9.52 ((~(v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1))) | v127(constB99, bitIndex1) | (~v130(constB99, bitIndex1))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15079,plain,
% 13.48/9.52 (v127(constB99, bitIndex1)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15078, 15077, 15070])).
% 13.48/9.52 tff(15080,plain,
% 13.48/9.52 ((~(v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1))) | v129(constB100, bitIndex1) | (~v127(constB99, bitIndex1))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15081,plain,
% 13.48/9.52 (v129(constB100, bitIndex1)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15080, 15079, 15066])).
% 13.48/9.52 tff(15082,plain,
% 13.48/9.52 ((~(v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15083,plain,
% 13.48/9.52 (v90(constB100, bitIndex1)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15082, 15081, 15062])).
% 13.48/9.52 tff(15084,plain,
% 13.48/9.52 ((~(v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1))) | v90(constB101, bitIndex1) | (~v90(constB100, bitIndex1))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15085,plain,
% 13.48/9.52 (v90(constB101, bitIndex1)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15084, 15083, 15058])).
% 13.48/9.52 tff(15086,plain,
% 13.48/9.52 ((~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15087,plain,
% 13.48/9.52 (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15086, 15085, 15054, 15023])).
% 13.48/9.52 tff(15088,plain,
% 13.48/9.52 ((~(v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))) | v121(constB101) | (v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15089,plain,
% 13.48/9.52 (v121(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15088, 15087, 3833])).
% 13.48/9.52 tff(15090,plain,
% 13.48/9.52 ((v118(constB101) | v121(constB101)) | (~v121(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15091,plain,
% 13.48/9.52 (v118(constB101) | v121(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15090, 15089])).
% 13.48/9.52 tff(15092,plain,
% 13.48/9.52 ((~(v117(constB101) <=> (v118(constB101) | v121(constB101)))) | v117(constB101) | (~(v118(constB101) | v121(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15093,plain,
% 13.48/9.52 (v117(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15092, 15091, 3826])).
% 13.48/9.52 tff(15094,plain,
% 13.48/9.52 ((v117(constB101) | v122(constB101)) | (~v117(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15095,plain,
% 13.48/9.52 (v117(constB101) | v122(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15094, 15093])).
% 13.48/9.52 tff(15096,plain,
% 13.48/9.52 ((~(v116(constB101) <=> (v117(constB101) | v122(constB101)))) | v116(constB101) | (~(v117(constB101) | v122(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15097,plain,
% 13.48/9.52 (v116(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15096, 15095, 3824])).
% 13.48/9.52 tff(15098,plain,
% 13.48/9.52 ((v116(constB101) | v123(constB101)) | (~v116(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15099,plain,
% 13.48/9.52 (v116(constB101) | v123(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15098, 15097])).
% 13.48/9.52 tff(15100,plain,
% 13.48/9.52 ((~(v115(constB101) <=> (v116(constB101) | v123(constB101)))) | v115(constB101) | (~(v116(constB101) | v123(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15101,plain,
% 13.48/9.52 (v115(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15100, 15099, 3822])).
% 13.48/9.52 tff(15102,plain,
% 13.48/9.52 ((v115(constB101) | v124(constB101)) | (~v115(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15103,plain,
% 13.48/9.52 (v115(constB101) | v124(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15102, 15101])).
% 13.48/9.52 tff(15104,plain,
% 13.48/9.52 ((~(v114(constB101) <=> (v115(constB101) | v124(constB101)))) | v114(constB101) | (~(v115(constB101) | v124(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15105,plain,
% 13.48/9.52 (v114(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15104, 15103, 3820])).
% 13.48/9.52 tff(15106,plain,
% 13.48/9.52 ((v114(constB101) | v125(constB101)) | (~v114(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15107,plain,
% 13.48/9.52 (v114(constB101) | v125(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15106, 15105])).
% 13.48/9.52 tff(15108,plain,
% 13.48/9.52 ((~(v113(constB101) <=> (v114(constB101) | v125(constB101)))) | v113(constB101) | (~(v114(constB101) | v125(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15109,plain,
% 13.48/9.52 (v113(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15108, 15107, 3818])).
% 13.48/9.52 tff(15110,plain,
% 13.48/9.52 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB101)) <=> v111(constB101))),
% 13.48/9.52 inference(quant_inst,[status(thm)],[])).
% 13.48/9.52 tff(15111,plain,
% 13.48/9.52 ((~v126(constB101)) <=> v111(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15110, 1345])).
% 13.48/9.52 tff(15112,plain,
% 13.48/9.52 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB101) <=> v26(constB101))),
% 13.48/9.52 inference(quant_inst,[status(thm)],[])).
% 13.48/9.52 tff(15113,plain,
% 13.48/9.52 (v111(constB101) <=> v26(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15112, 1357])).
% 13.48/9.52 tff(15114,plain,
% 13.48/9.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 13.48/9.52 inference(quant_inst,[status(thm)],[])).
% 13.48/9.52 tff(15115,plain,
% 13.48/9.52 (~v26(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15114, 1369])).
% 13.48/9.52 tff(15116,plain,
% 13.48/9.52 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101)) | v26(constB101)),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15117,plain,
% 13.48/9.52 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15116, 15115])).
% 13.48/9.52 tff(15118,plain,
% 13.48/9.52 (~v111(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15117, 15113])).
% 13.48/9.52 tff(15119,plain,
% 13.48/9.52 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101) | v111(constB101)),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15120,plain,
% 13.48/9.52 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15119, 15118])).
% 13.48/9.52 tff(15121,plain,
% 13.48/9.52 (v126(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15120, 15111])).
% 13.48/9.52 tff(15122,plain,
% 13.48/9.52 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101)) | (~v126(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15123,plain,
% 13.48/9.52 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15122, 15121])).
% 13.48/9.52 tff(15124,plain,
% 13.48/9.52 (~((~v113(constB101)) | (~v126(constB101)))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15123, 15109])).
% 13.48/9.52 tff(15125,plain,
% 13.48/9.52 ((~(v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))) | v112(constB101) | ((~v113(constB101)) | (~v126(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15126,plain,
% 13.48/9.52 (v112(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15125, 15124, 3816])).
% 13.48/9.52 tff(15127,plain,
% 13.48/9.52 ((v111(constB101) | v112(constB101)) | (~v112(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15128,plain,
% 13.48/9.52 (v111(constB101) | v112(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15127, 15126])).
% 13.48/9.52 tff(15129,plain,
% 13.48/9.52 ((~(v108(constB101) <=> (v111(constB101) | v112(constB101)))) | v108(constB101) | (~(v111(constB101) | v112(constB101)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15130,plain,
% 13.48/9.52 (v108(constB101)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15129, 15128, 3814])).
% 13.48/9.52 tff(15131,plain,
% 13.48/9.52 ((~(v110(constB102) <=> v108(constB101))) | v110(constB102) | (~v108(constB101))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15132,plain,
% 13.48/9.52 (v110(constB102)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15131, 15130, 3812])).
% 13.48/9.52 tff(15133,plain,
% 13.48/9.52 ((~((~v101(constB102)) | (~v110(constB102)))) | (~v101(constB102)) | (~v110(constB102))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15134,plain,
% 13.48/9.52 (~((~v101(constB102)) | (~v110(constB102)))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15133, 15132, 3808])).
% 13.48/9.52 tff(15135,plain,
% 13.48/9.52 ((~(v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))) | v100(constB102) | ((~v101(constB102)) | (~v110(constB102)))),
% 13.48/9.52 inference(tautology,[status(thm)],[])).
% 13.48/9.52 tff(15136,plain,
% 13.48/9.52 (v100(constB102)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15135, 15134, 3777])).
% 13.48/9.52 tff(15137,plain,
% 13.48/9.52 (((~![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))))),
% 13.48/9.52 inference(rewrite,[status(thm)],[])).
% 13.48/9.52 tff(15138,plain,
% 13.48/9.52 ((~![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))))),
% 13.48/9.52 inference(quant_inst,[status(thm)],[])).
% 13.48/9.52 tff(15139,plain,
% 13.48/9.52 ((~![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)))),
% 13.48/9.52 inference(modus_ponens,[status(thm)],[15138, 15137])).
% 13.48/9.52 tff(15140,plain,
% 13.48/9.52 ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15139, 1405])).
% 13.48/9.52 tff(15141,plain,
% 13.48/9.52 (![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15140, 15136])).
% 13.48/9.52 tff(15142,plain,
% 13.48/9.52 (((~![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)))),
% 13.48/9.52 inference(rewrite,[status(thm)],[])).
% 13.48/9.52 tff(15143,plain,
% 13.48/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))),
% 13.48/9.52 inference(quant_inst,[status(thm)],[])).
% 13.48/9.52 tff(15144,plain,
% 13.48/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2))),
% 13.48/9.52 inference(modus_ponens,[status(thm)],[15143, 15142])).
% 13.48/9.52 tff(15145,plain,
% 13.48/9.52 (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)),
% 13.48/9.52 inference(unit_resolution,[status(thm)],[15144, 579, 15141])).
% 13.48/9.52 tff(15146,plain,
% 13.48/9.52 (((~![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))))),
% 13.48/9.52 inference(rewrite,[status(thm)],[])).
% 13.48/9.52 tff(15147,plain,
% 13.48/9.52 ((~![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))))),
% 13.48/9.52 inference(quant_inst,[status(thm)],[])).
% 13.48/9.52 tff(15148,plain,
% 13.48/9.52 ((~![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)))),
% 13.48/9.52 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 13.48/9.52 tff(15149,plain,
% 13.48/9.52 (![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15148, 3773, 1427])).
% 13.48/9.53 tff(15150,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15151,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15152,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 13.48/9.53 tff(15153,plain,
% 13.48/9.53 (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15152, 579, 15149])).
% 13.48/9.53 tff(15154,plain,
% 13.48/9.53 (((~![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))))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15155,plain,
% 13.48/9.53 ((~![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))))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15156,plain,
% 13.48/9.53 ((~![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)))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 13.48/9.53 tff(15157,plain,
% 13.48/9.53 (![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15156, 1448, 15118])).
% 13.48/9.53 tff(15158,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15159,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15160,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 13.48/9.53 tff(15161,plain,
% 13.48/9.53 (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15160, 579, 15157])).
% 13.48/9.53 tff(15162,plain,
% 13.48/9.53 (((~![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))))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15163,plain,
% 13.48/9.53 ((~![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))))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15164,plain,
% 13.48/9.53 ((~![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)))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15163, 15162])).
% 13.48/9.53 tff(15165,plain,
% 13.48/9.53 ((~v121(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15164, 1832])).
% 13.48/9.53 tff(15166,plain,
% 13.48/9.53 (![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15165, 15089])).
% 13.48/9.53 tff(15167,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15168,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b011(bitIndex2)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15169,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b011(bitIndex2))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 13.48/9.53 tff(15170,plain,
% 13.48/9.53 (v130(constB101, bitIndex2) <=> b011(bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15169, 579, 15166])).
% 13.48/9.53 tff(15171,plain,
% 13.48/9.53 ((~(v130(constB101, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB101, bitIndex2)) | b011(bitIndex2)),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15172,plain,
% 13.48/9.53 ((~(v130(constB101, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB101, bitIndex2))),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15171, 1844])).
% 13.48/9.53 tff(15173,plain,
% 13.48/9.53 (~v130(constB101, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15172, 15170])).
% 13.48/9.53 tff(15174,plain,
% 13.48/9.53 ((~(v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2))) | (~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15175,plain,
% 13.48/9.53 (~v127(constB101, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15174, 15173, 15161])).
% 13.48/9.53 tff(15176,plain,
% 13.48/9.53 ((~(v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2))) | (~v129(constB102, bitIndex2)) | v127(constB101, bitIndex2)),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15177,plain,
% 13.48/9.53 (~v129(constB102, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15176, 15175, 15153])).
% 13.48/9.53 tff(15178,plain,
% 13.48/9.53 ((~(v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2)),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15179,plain,
% 13.48/9.53 (~v90(constB102, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15178, 15177, 15145])).
% 13.48/9.53 tff(15180,plain,
% 13.48/9.53 ((~(v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2))) | (~v90(constB103, bitIndex2)) | v90(constB102, bitIndex2)),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15181,plain,
% 13.48/9.53 (~v90(constB103, bitIndex2)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15180, 15179, 3770])).
% 13.48/9.53 tff(15182,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15183,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15184,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15183, 15182])).
% 13.48/9.53 tff(15185,plain,
% 13.48/9.53 (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15184, 1275, 3766])).
% 13.48/9.53 tff(15186,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15187,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15188,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15187, 15186])).
% 13.48/9.53 tff(15189,plain,
% 13.48/9.53 (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15188, 1275, 15141])).
% 13.48/9.53 tff(15190,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15191,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15192,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 13.48/9.53 tff(15193,plain,
% 13.48/9.53 (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15192, 1275, 15149])).
% 13.48/9.53 tff(15194,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15195,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15196,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15195, 15194])).
% 13.48/9.53 tff(15197,plain,
% 13.48/9.53 (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15196, 1275, 15157])).
% 13.48/9.53 tff(15198,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15199,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b011(bitIndex0)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15200,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b011(bitIndex0))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15199, 15198])).
% 13.48/9.53 tff(15201,plain,
% 13.48/9.53 (v130(constB101, bitIndex0) <=> b011(bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15200, 1275, 15166])).
% 13.48/9.53 tff(15202,plain,
% 13.48/9.53 ((~(v130(constB101, bitIndex0) <=> b011(bitIndex0))) | v130(constB101, bitIndex0) | (~b011(bitIndex0))),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15203,plain,
% 13.48/9.53 ((~(v130(constB101, bitIndex0) <=> b011(bitIndex0))) | v130(constB101, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15202, 1878])).
% 13.48/9.53 tff(15204,plain,
% 13.48/9.53 (v130(constB101, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15203, 15201])).
% 13.48/9.53 tff(15205,plain,
% 13.48/9.53 ((~(v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0))) | v127(constB101, bitIndex0) | (~v130(constB101, bitIndex0))),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15206,plain,
% 13.48/9.53 (v127(constB101, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15205, 15204, 15197])).
% 13.48/9.53 tff(15207,plain,
% 13.48/9.53 ((~(v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0))) | v129(constB102, bitIndex0) | (~v127(constB101, bitIndex0))),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15208,plain,
% 13.48/9.53 (v129(constB102, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15207, 15206, 15193])).
% 13.48/9.53 tff(15209,plain,
% 13.48/9.53 ((~(v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0))),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15210,plain,
% 13.48/9.53 (v90(constB102, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15209, 15208, 15189])).
% 13.48/9.53 tff(15211,plain,
% 13.48/9.53 ((~(v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0))) | v90(constB103, bitIndex0) | (~v90(constB102, bitIndex0))),
% 13.48/9.53 inference(tautology,[status(thm)],[])).
% 13.48/9.53 tff(15212,plain,
% 13.48/9.53 (v90(constB103, bitIndex0)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15211, 15210, 15185])).
% 13.48/9.53 tff(15213,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15214,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15215,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15214, 15213])).
% 13.48/9.53 tff(15216,plain,
% 13.48/9.53 (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15215, 1288, 3766])).
% 13.48/9.53 tff(15217,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15218,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))),
% 13.48/9.53 inference(quant_inst,[status(thm)],[])).
% 13.48/9.53 tff(15219,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1))),
% 13.48/9.53 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 13.48/9.53 tff(15220,plain,
% 13.48/9.53 (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)),
% 13.48/9.53 inference(unit_resolution,[status(thm)],[15219, 1288, 15141])).
% 13.48/9.53 tff(15221,plain,
% 13.48/9.53 (((~![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)))),
% 13.48/9.53 inference(rewrite,[status(thm)],[])).
% 13.48/9.53 tff(15222,plain,
% 13.48/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15223,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15222, 15221])).
% 13.48/9.54 tff(15224,plain,
% 13.48/9.54 (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15223, 1288, 15149])).
% 13.48/9.54 tff(15225,plain,
% 13.48/9.54 (((~![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)))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15226,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15227,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15226, 15225])).
% 13.48/9.54 tff(15228,plain,
% 13.48/9.54 (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15227, 1288, 15157])).
% 13.48/9.54 tff(15229,plain,
% 13.48/9.54 (((~![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)))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15230,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b011(bitIndex1)))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15231,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b011(bitIndex1))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15230, 15229])).
% 13.48/9.54 tff(15232,plain,
% 13.48/9.54 (v130(constB101, bitIndex1) <=> b011(bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15231, 1288, 15166])).
% 13.48/9.54 tff(15233,plain,
% 13.48/9.54 ((~(v130(constB101, bitIndex1) <=> b011(bitIndex1))) | v130(constB101, bitIndex1) | (~b011(bitIndex1))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15234,plain,
% 13.48/9.54 ((~(v130(constB101, bitIndex1) <=> b011(bitIndex1))) | v130(constB101, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15233, 1912])).
% 13.48/9.54 tff(15235,plain,
% 13.48/9.54 (v130(constB101, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15234, 15232])).
% 13.48/9.54 tff(15236,plain,
% 13.48/9.54 ((~(v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1))) | v127(constB101, bitIndex1) | (~v130(constB101, bitIndex1))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15237,plain,
% 13.48/9.54 (v127(constB101, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15236, 15235, 15228])).
% 13.48/9.54 tff(15238,plain,
% 13.48/9.54 ((~(v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1))) | v129(constB102, bitIndex1) | (~v127(constB101, bitIndex1))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15239,plain,
% 13.48/9.54 (v129(constB102, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15238, 15237, 15224])).
% 13.48/9.54 tff(15240,plain,
% 13.48/9.54 ((~(v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15241,plain,
% 13.48/9.54 (v90(constB102, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15240, 15239, 15220])).
% 13.48/9.54 tff(15242,plain,
% 13.48/9.54 ((~(v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1))) | v90(constB103, bitIndex1) | (~v90(constB102, bitIndex1))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15243,plain,
% 13.48/9.54 (v90(constB103, bitIndex1)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15242, 15241, 15216])).
% 13.48/9.54 tff(15244,plain,
% 13.48/9.54 ((~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))) | v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15245,plain,
% 13.48/9.54 (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15244, 15243, 15212, 15181])).
% 13.48/9.54 tff(15246,plain,
% 13.48/9.54 ((~(v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))) | v122(constB103) | (v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15247,plain,
% 13.48/9.54 (v122(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15246, 15245, 3738])).
% 13.48/9.54 tff(15248,plain,
% 13.48/9.54 ((v117(constB103) | v122(constB103)) | (~v122(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15249,plain,
% 13.48/9.54 (v117(constB103) | v122(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15248, 15247])).
% 13.48/9.54 tff(15250,plain,
% 13.48/9.54 ((~(v116(constB103) <=> (v117(constB103) | v122(constB103)))) | v116(constB103) | (~(v117(constB103) | v122(constB103)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15251,plain,
% 13.48/9.54 (v116(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15250, 15249, 3731])).
% 13.48/9.54 tff(15252,plain,
% 13.48/9.54 ((v116(constB103) | v123(constB103)) | (~v116(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15253,plain,
% 13.48/9.54 (v116(constB103) | v123(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15252, 15251])).
% 13.48/9.54 tff(15254,plain,
% 13.48/9.54 ((~(v115(constB103) <=> (v116(constB103) | v123(constB103)))) | v115(constB103) | (~(v116(constB103) | v123(constB103)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15255,plain,
% 13.48/9.54 (v115(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15254, 15253, 3729])).
% 13.48/9.54 tff(15256,plain,
% 13.48/9.54 ((v115(constB103) | v124(constB103)) | (~v115(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15257,plain,
% 13.48/9.54 (v115(constB103) | v124(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15256, 15255])).
% 13.48/9.54 tff(15258,plain,
% 13.48/9.54 ((~(v114(constB103) <=> (v115(constB103) | v124(constB103)))) | v114(constB103) | (~(v115(constB103) | v124(constB103)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15259,plain,
% 13.48/9.54 (v114(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15258, 15257, 3727])).
% 13.48/9.54 tff(15260,plain,
% 13.48/9.54 ((v114(constB103) | v125(constB103)) | (~v114(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15261,plain,
% 13.48/9.54 (v114(constB103) | v125(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15260, 15259])).
% 13.48/9.54 tff(15262,plain,
% 13.48/9.54 ((~(v113(constB103) <=> (v114(constB103) | v125(constB103)))) | v113(constB103) | (~(v114(constB103) | v125(constB103)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15263,plain,
% 13.48/9.54 (v113(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15262, 15261, 3725])).
% 13.48/9.54 tff(15264,plain,
% 13.48/9.54 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB103)) <=> v111(constB103))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15265,plain,
% 13.48/9.54 ((~v126(constB103)) <=> v111(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15264, 1345])).
% 13.48/9.54 tff(15266,plain,
% 13.48/9.54 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB103) <=> v26(constB103))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15267,plain,
% 13.48/9.54 (v111(constB103) <=> v26(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15266, 1357])).
% 13.48/9.54 tff(15268,plain,
% 13.48/9.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15269,plain,
% 13.48/9.54 (~v26(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15268, 1369])).
% 13.48/9.54 tff(15270,plain,
% 13.48/9.54 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103)) | v26(constB103)),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15271,plain,
% 13.48/9.54 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15270, 15269])).
% 13.48/9.54 tff(15272,plain,
% 13.48/9.54 (~v111(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15271, 15267])).
% 13.48/9.54 tff(15273,plain,
% 13.48/9.54 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103) | v111(constB103)),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15274,plain,
% 13.48/9.54 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15273, 15272])).
% 13.48/9.54 tff(15275,plain,
% 13.48/9.54 (v126(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15274, 15265])).
% 13.48/9.54 tff(15276,plain,
% 13.48/9.54 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103)) | (~v126(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15277,plain,
% 13.48/9.54 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15276, 15275])).
% 13.48/9.54 tff(15278,plain,
% 13.48/9.54 (~((~v113(constB103)) | (~v126(constB103)))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15277, 15263])).
% 13.48/9.54 tff(15279,plain,
% 13.48/9.54 ((~(v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))) | v112(constB103) | ((~v113(constB103)) | (~v126(constB103)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15280,plain,
% 13.48/9.54 (v112(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15279, 15278, 3723])).
% 13.48/9.54 tff(15281,plain,
% 13.48/9.54 ((v111(constB103) | v112(constB103)) | (~v112(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15282,plain,
% 13.48/9.54 (v111(constB103) | v112(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15281, 15280])).
% 13.48/9.54 tff(15283,plain,
% 13.48/9.54 ((~(v108(constB103) <=> (v111(constB103) | v112(constB103)))) | v108(constB103) | (~(v111(constB103) | v112(constB103)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15284,plain,
% 13.48/9.54 (v108(constB103)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15283, 15282, 3721])).
% 13.48/9.54 tff(15285,plain,
% 13.48/9.54 ((~(v110(constB104) <=> v108(constB103))) | v110(constB104) | (~v108(constB103))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15286,plain,
% 13.48/9.54 (v110(constB104)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15285, 15284, 3719])).
% 13.48/9.54 tff(15287,plain,
% 13.48/9.54 ((~((~v101(constB104)) | (~v110(constB104)))) | (~v101(constB104)) | (~v110(constB104))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15288,plain,
% 13.48/9.54 (~((~v101(constB104)) | (~v110(constB104)))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15287, 15286, 3715])).
% 13.48/9.54 tff(15289,plain,
% 13.48/9.54 ((~(v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))) | v100(constB104) | ((~v101(constB104)) | (~v110(constB104)))),
% 13.48/9.54 inference(tautology,[status(thm)],[])).
% 13.48/9.54 tff(15290,plain,
% 13.48/9.54 (v100(constB104)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15289, 15288, 3684])).
% 13.48/9.54 tff(15291,plain,
% 13.48/9.54 (((~![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))))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15292,plain,
% 13.48/9.54 ((~![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))))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15293,plain,
% 13.48/9.54 ((~![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)))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 13.48/9.54 tff(15294,plain,
% 13.48/9.54 ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15293, 1405])).
% 13.48/9.54 tff(15295,plain,
% 13.48/9.54 (![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15294, 15290])).
% 13.48/9.54 tff(15296,plain,
% 13.48/9.54 (((~![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)))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15297,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15298,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 13.48/9.54 tff(15299,plain,
% 13.48/9.54 (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15298, 579, 15295])).
% 13.48/9.54 tff(15300,plain,
% 13.48/9.54 (((~![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))))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15301,plain,
% 13.48/9.54 ((~![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))))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15302,plain,
% 13.48/9.54 ((~![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)))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15301, 15300])).
% 13.48/9.54 tff(15303,plain,
% 13.48/9.54 (![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15302, 3680, 1427])).
% 13.48/9.54 tff(15304,plain,
% 13.48/9.54 (((~![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)))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15305,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.54 tff(15306,plain,
% 13.48/9.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2))),
% 13.48/9.54 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 13.48/9.54 tff(15307,plain,
% 13.48/9.54 (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)),
% 13.48/9.54 inference(unit_resolution,[status(thm)],[15306, 579, 15303])).
% 13.48/9.54 tff(15308,plain,
% 13.48/9.54 (((~![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))))),
% 13.48/9.54 inference(rewrite,[status(thm)],[])).
% 13.48/9.54 tff(15309,plain,
% 13.48/9.54 ((~![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))))),
% 13.48/9.54 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15310,plain,
% 13.48/9.55 ((~![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)))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 13.48/9.55 tff(15311,plain,
% 13.48/9.55 (![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15310, 1448, 15272])).
% 13.48/9.55 tff(15312,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15313,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15314,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15313, 15312])).
% 13.48/9.55 tff(15315,plain,
% 13.48/9.55 (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15314, 579, 15311])).
% 13.48/9.55 tff(15316,plain,
% 13.48/9.55 (((~![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))))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15317,plain,
% 13.48/9.55 ((~![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))))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15318,plain,
% 13.48/9.55 ((~![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)))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15317, 15316])).
% 13.48/9.55 tff(15319,plain,
% 13.48/9.55 ((~v122(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15318, 2008])).
% 13.48/9.55 tff(15320,plain,
% 13.48/9.55 (![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15319, 15247])).
% 13.48/9.55 tff(15321,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15322,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b100(bitIndex2)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15323,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b100(bitIndex2))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15322, 15321])).
% 13.48/9.55 tff(15324,plain,
% 13.48/9.55 (v130(constB103, bitIndex2) <=> b100(bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15323, 579, 15320])).
% 13.48/9.55 tff(15325,plain,
% 13.48/9.55 ((~(v130(constB103, bitIndex2) <=> b100(bitIndex2))) | v130(constB103, bitIndex2) | (~b100(bitIndex2))),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15326,plain,
% 13.48/9.55 ((~(v130(constB103, bitIndex2) <=> b100(bitIndex2))) | v130(constB103, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15325, 2020])).
% 13.48/9.55 tff(15327,plain,
% 13.48/9.55 (v130(constB103, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15326, 15324])).
% 13.48/9.55 tff(15328,plain,
% 13.48/9.55 ((~(v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2))) | v127(constB103, bitIndex2) | (~v130(constB103, bitIndex2))),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15329,plain,
% 13.48/9.55 (v127(constB103, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15328, 15327, 15315])).
% 13.48/9.55 tff(15330,plain,
% 13.48/9.55 ((~(v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2))) | v129(constB104, bitIndex2) | (~v127(constB103, bitIndex2))),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15331,plain,
% 13.48/9.55 (v129(constB104, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15330, 15329, 15307])).
% 13.48/9.55 tff(15332,plain,
% 13.48/9.55 ((~(v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15333,plain,
% 13.48/9.55 (v90(constB104, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15332, 15331, 15299])).
% 13.48/9.55 tff(15334,plain,
% 13.48/9.55 ((~(v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2))) | v90(constB105, bitIndex2) | (~v90(constB104, bitIndex2))),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15335,plain,
% 13.48/9.55 (v90(constB105, bitIndex2)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15334, 15333, 3677])).
% 13.48/9.55 tff(15336,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15337,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15338,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 13.48/9.55 tff(15339,plain,
% 13.48/9.55 (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15338, 1275, 3673])).
% 13.48/9.55 tff(15340,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15341,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15342,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 13.48/9.55 tff(15343,plain,
% 13.48/9.55 (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15342, 1275, 15295])).
% 13.48/9.55 tff(15344,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15345,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15346,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15345, 15344])).
% 13.48/9.55 tff(15347,plain,
% 13.48/9.55 (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15346, 1275, 15303])).
% 13.48/9.55 tff(15348,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15349,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15350,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15349, 15348])).
% 13.48/9.55 tff(15351,plain,
% 13.48/9.55 (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15350, 1275, 15311])).
% 13.48/9.55 tff(15352,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15353,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b100(bitIndex0)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15354,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b100(bitIndex0))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15353, 15352])).
% 13.48/9.55 tff(15355,plain,
% 13.48/9.55 (v130(constB103, bitIndex0) <=> b100(bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15354, 1275, 15320])).
% 13.48/9.55 tff(15356,plain,
% 13.48/9.55 ((~(v130(constB103, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB103, bitIndex0)) | b100(bitIndex0)),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15357,plain,
% 13.48/9.55 ((~(v130(constB103, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB103, bitIndex0))),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15356, 2054])).
% 13.48/9.55 tff(15358,plain,
% 13.48/9.55 (~v130(constB103, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15357, 15355])).
% 13.48/9.55 tff(15359,plain,
% 13.48/9.55 ((~(v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0))) | (~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15360,plain,
% 13.48/9.55 (~v127(constB103, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15359, 15358, 15351])).
% 13.48/9.55 tff(15361,plain,
% 13.48/9.55 ((~(v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0))) | (~v129(constB104, bitIndex0)) | v127(constB103, bitIndex0)),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15362,plain,
% 13.48/9.55 (~v129(constB104, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15361, 15360, 15347])).
% 13.48/9.55 tff(15363,plain,
% 13.48/9.55 ((~(v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15364,plain,
% 13.48/9.55 (~v90(constB104, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15363, 15362, 15343])).
% 13.48/9.55 tff(15365,plain,
% 13.48/9.55 ((~(v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0))) | (~v90(constB105, bitIndex0)) | v90(constB104, bitIndex0)),
% 13.48/9.55 inference(tautology,[status(thm)],[])).
% 13.48/9.55 tff(15366,plain,
% 13.48/9.55 (~v90(constB105, bitIndex0)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15365, 15364, 15339])).
% 13.48/9.55 tff(15367,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15368,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15369,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 13.48/9.55 tff(15370,plain,
% 13.48/9.55 (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15369, 1288, 3673])).
% 13.48/9.55 tff(15371,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15372,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15373,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 13.48/9.55 tff(15374,plain,
% 13.48/9.55 (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15373, 1288, 15295])).
% 13.48/9.55 tff(15375,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15376,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15377,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 13.48/9.55 tff(15378,plain,
% 13.48/9.55 (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15377, 1288, 15303])).
% 13.48/9.55 tff(15379,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.55 inference(rewrite,[status(thm)],[])).
% 13.48/9.55 tff(15380,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))),
% 13.48/9.55 inference(quant_inst,[status(thm)],[])).
% 13.48/9.55 tff(15381,plain,
% 13.48/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1))),
% 13.48/9.55 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 13.48/9.55 tff(15382,plain,
% 13.48/9.55 (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)),
% 13.48/9.55 inference(unit_resolution,[status(thm)],[15381, 1288, 15311])).
% 13.48/9.55 tff(15383,plain,
% 13.48/9.55 (((~![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)))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15384,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b100(bitIndex1)))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15385,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b100(bitIndex1))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 13.48/9.56 tff(15386,plain,
% 13.48/9.56 (v130(constB103, bitIndex1) <=> b100(bitIndex1)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15385, 1288, 15320])).
% 13.48/9.56 tff(15387,plain,
% 13.48/9.56 ((~(v130(constB103, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB103, bitIndex1)) | b100(bitIndex1)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15388,plain,
% 13.48/9.56 ((~(v130(constB103, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB103, bitIndex1))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15387, 2088])).
% 13.48/9.56 tff(15389,plain,
% 13.48/9.56 (~v130(constB103, bitIndex1)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15388, 15386])).
% 13.48/9.56 tff(15390,plain,
% 13.48/9.56 ((~(v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1))) | (~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15391,plain,
% 13.48/9.56 (~v127(constB103, bitIndex1)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15390, 15389, 15382])).
% 13.48/9.56 tff(15392,plain,
% 13.48/9.56 ((~(v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1))) | (~v129(constB104, bitIndex1)) | v127(constB103, bitIndex1)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15393,plain,
% 13.48/9.56 (~v129(constB104, bitIndex1)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15392, 15391, 15378])).
% 13.48/9.56 tff(15394,plain,
% 13.48/9.56 ((~(v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15395,plain,
% 13.48/9.56 (~v90(constB104, bitIndex1)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15394, 15393, 15374])).
% 13.48/9.56 tff(15396,plain,
% 13.48/9.56 ((~(v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1))) | (~v90(constB105, bitIndex1)) | v90(constB104, bitIndex1)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15397,plain,
% 13.48/9.56 (~v90(constB105, bitIndex1)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15396, 15395, 15370])).
% 13.48/9.56 tff(15398,plain,
% 13.48/9.56 ((~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15399,plain,
% 13.48/9.56 (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15398, 15397, 15366, 15335])).
% 13.48/9.56 tff(15400,plain,
% 13.48/9.56 ((~(v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))) | v123(constB105) | ((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15401,plain,
% 13.48/9.56 (v123(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15400, 15399, 3645])).
% 13.48/9.56 tff(15402,plain,
% 13.48/9.56 ((v116(constB105) | v123(constB105)) | (~v123(constB105))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15403,plain,
% 13.48/9.56 (v116(constB105) | v123(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15402, 15401])).
% 13.48/9.56 tff(15404,plain,
% 13.48/9.56 ((~(v115(constB105) <=> (v116(constB105) | v123(constB105)))) | v115(constB105) | (~(v116(constB105) | v123(constB105)))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15405,plain,
% 13.48/9.56 (v115(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15404, 15403, 3638])).
% 13.48/9.56 tff(15406,plain,
% 13.48/9.56 ((v115(constB105) | v124(constB105)) | (~v115(constB105))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15407,plain,
% 13.48/9.56 (v115(constB105) | v124(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15406, 15405])).
% 13.48/9.56 tff(15408,plain,
% 13.48/9.56 ((~(v114(constB105) <=> (v115(constB105) | v124(constB105)))) | v114(constB105) | (~(v115(constB105) | v124(constB105)))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15409,plain,
% 13.48/9.56 (v114(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15408, 15407, 3636])).
% 13.48/9.56 tff(15410,plain,
% 13.48/9.56 ((v114(constB105) | v125(constB105)) | (~v114(constB105))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15411,plain,
% 13.48/9.56 (v114(constB105) | v125(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15410, 15409])).
% 13.48/9.56 tff(15412,plain,
% 13.48/9.56 ((~(v113(constB105) <=> (v114(constB105) | v125(constB105)))) | v113(constB105) | (~(v114(constB105) | v125(constB105)))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15413,plain,
% 13.48/9.56 (v113(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15412, 15411, 3634])).
% 13.48/9.56 tff(15414,plain,
% 13.48/9.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB105)) <=> v111(constB105))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15415,plain,
% 13.48/9.56 ((~v126(constB105)) <=> v111(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15414, 1345])).
% 13.48/9.56 tff(15416,plain,
% 13.48/9.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB105) <=> v26(constB105))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15417,plain,
% 13.48/9.56 (v111(constB105) <=> v26(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15416, 1357])).
% 13.48/9.56 tff(15418,plain,
% 13.48/9.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15419,plain,
% 13.48/9.56 (~v26(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15418, 1369])).
% 13.48/9.56 tff(15420,plain,
% 13.48/9.56 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105)) | v26(constB105)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15421,plain,
% 13.48/9.56 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15420, 15419])).
% 13.48/9.56 tff(15422,plain,
% 13.48/9.56 (~v111(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15421, 15417])).
% 13.48/9.56 tff(15423,plain,
% 13.48/9.56 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105) | v111(constB105)),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15424,plain,
% 13.48/9.56 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15423, 15422])).
% 13.48/9.56 tff(15425,plain,
% 13.48/9.56 (v126(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15424, 15415])).
% 13.48/9.56 tff(15426,plain,
% 13.48/9.56 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105)) | (~v126(constB105))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15427,plain,
% 13.48/9.56 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15426, 15425])).
% 13.48/9.56 tff(15428,plain,
% 13.48/9.56 (~((~v113(constB105)) | (~v126(constB105)))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15427, 15413])).
% 13.48/9.56 tff(15429,plain,
% 13.48/9.56 ((~(v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))) | v112(constB105) | ((~v113(constB105)) | (~v126(constB105)))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15430,plain,
% 13.48/9.56 (v112(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15429, 15428, 3632])).
% 13.48/9.56 tff(15431,plain,
% 13.48/9.56 ((v111(constB105) | v112(constB105)) | (~v112(constB105))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15432,plain,
% 13.48/9.56 (v111(constB105) | v112(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15431, 15430])).
% 13.48/9.56 tff(15433,plain,
% 13.48/9.56 ((~(v108(constB105) <=> (v111(constB105) | v112(constB105)))) | v108(constB105) | (~(v111(constB105) | v112(constB105)))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15434,plain,
% 13.48/9.56 (v108(constB105)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15433, 15432, 3630])).
% 13.48/9.56 tff(15435,plain,
% 13.48/9.56 ((~(v110(constB106) <=> v108(constB105))) | v110(constB106) | (~v108(constB105))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15436,plain,
% 13.48/9.56 (v110(constB106)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15435, 15434, 3628])).
% 13.48/9.56 tff(15437,plain,
% 13.48/9.56 ((~((~v101(constB106)) | (~v110(constB106)))) | (~v101(constB106)) | (~v110(constB106))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15438,plain,
% 13.48/9.56 (~((~v101(constB106)) | (~v110(constB106)))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15437, 15436, 3624])).
% 13.48/9.56 tff(15439,plain,
% 13.48/9.56 ((~(v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))) | v100(constB106) | ((~v101(constB106)) | (~v110(constB106)))),
% 13.48/9.56 inference(tautology,[status(thm)],[])).
% 13.48/9.56 tff(15440,plain,
% 13.48/9.56 (v100(constB106)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15439, 15438, 3593])).
% 13.48/9.56 tff(15441,plain,
% 13.48/9.56 (((~![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))))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15442,plain,
% 13.48/9.56 ((~![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))))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15443,plain,
% 13.48/9.56 ((~![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)))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15442, 15441])).
% 13.48/9.56 tff(15444,plain,
% 13.48/9.56 ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15443, 1405])).
% 13.48/9.56 tff(15445,plain,
% 13.48/9.56 (![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15444, 15440])).
% 13.48/9.56 tff(15446,plain,
% 13.48/9.56 (((~![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)))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15447,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15448,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 13.48/9.56 tff(15449,plain,
% 13.48/9.56 (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15448, 579, 15445])).
% 13.48/9.56 tff(15450,plain,
% 13.48/9.56 (((~![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))))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15451,plain,
% 13.48/9.56 ((~![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))))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15452,plain,
% 13.48/9.56 ((~![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)))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15451, 15450])).
% 13.48/9.56 tff(15453,plain,
% 13.48/9.56 (![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15452, 3589, 1427])).
% 13.48/9.56 tff(15454,plain,
% 13.48/9.56 (((~![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)))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15455,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15456,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15455, 15454])).
% 13.48/9.56 tff(15457,plain,
% 13.48/9.56 (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15456, 579, 15453])).
% 13.48/9.56 tff(15458,plain,
% 13.48/9.56 (((~![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))))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15459,plain,
% 13.48/9.56 ((~![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))))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15460,plain,
% 13.48/9.56 ((~![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)))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 13.48/9.56 tff(15461,plain,
% 13.48/9.56 (![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15460, 1448, 15422])).
% 13.48/9.56 tff(15462,plain,
% 13.48/9.56 (((~![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)))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15463,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15464,plain,
% 13.48/9.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2))),
% 13.48/9.56 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 13.48/9.56 tff(15465,plain,
% 13.48/9.56 (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)),
% 13.48/9.56 inference(unit_resolution,[status(thm)],[15464, 579, 15461])).
% 13.48/9.56 tff(15466,plain,
% 13.48/9.56 (((~![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))))),
% 13.48/9.56 inference(rewrite,[status(thm)],[])).
% 13.48/9.56 tff(15467,plain,
% 13.48/9.56 ((~![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))))),
% 13.48/9.56 inference(quant_inst,[status(thm)],[])).
% 13.48/9.56 tff(15468,plain,
% 13.48/9.56 ((~![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)))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15467, 15466])).
% 13.48/9.57 tff(15469,plain,
% 13.48/9.57 ((~v123(constB105)) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15468, 2180])).
% 13.48/9.57 tff(15470,plain,
% 13.48/9.57 (![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15469, 15401])).
% 13.48/9.57 tff(15471,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15472,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b101(bitIndex2)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15473,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b101(bitIndex2))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 13.48/9.57 tff(15474,plain,
% 13.48/9.57 (v130(constB105, bitIndex2) <=> b101(bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15473, 579, 15470])).
% 13.48/9.57 tff(15475,plain,
% 13.48/9.57 ((~(v130(constB105, bitIndex2) <=> b101(bitIndex2))) | v130(constB105, bitIndex2) | (~b101(bitIndex2))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15476,plain,
% 13.48/9.57 ((~(v130(constB105, bitIndex2) <=> b101(bitIndex2))) | v130(constB105, bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15475, 2192])).
% 13.48/9.57 tff(15477,plain,
% 13.48/9.57 (v130(constB105, bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15476, 15474])).
% 13.48/9.57 tff(15478,plain,
% 13.48/9.57 ((~(v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2))) | v127(constB105, bitIndex2) | (~v130(constB105, bitIndex2))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15479,plain,
% 13.48/9.57 (v127(constB105, bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15478, 15477, 15465])).
% 13.48/9.57 tff(15480,plain,
% 13.48/9.57 ((~(v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2))) | v129(constB106, bitIndex2) | (~v127(constB105, bitIndex2))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15481,plain,
% 13.48/9.57 (v129(constB106, bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15480, 15479, 15457])).
% 13.48/9.57 tff(15482,plain,
% 13.48/9.57 ((~(v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15483,plain,
% 13.48/9.57 (v90(constB106, bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15482, 15481, 15449])).
% 13.48/9.57 tff(15484,plain,
% 13.48/9.57 ((~(v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2))) | v90(constB107, bitIndex2) | (~v90(constB106, bitIndex2))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15485,plain,
% 13.48/9.57 (v90(constB107, bitIndex2)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15484, 15483, 3586])).
% 13.48/9.57 tff(15486,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15487,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15488,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15487, 15486])).
% 13.48/9.57 tff(15489,plain,
% 13.48/9.57 (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15488, 1275, 3582])).
% 13.48/9.57 tff(15490,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15491,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15492,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 13.48/9.57 tff(15493,plain,
% 13.48/9.57 (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15492, 1275, 15445])).
% 13.48/9.57 tff(15494,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15495,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15496,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 13.48/9.57 tff(15497,plain,
% 13.48/9.57 (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15496, 1275, 15453])).
% 13.48/9.57 tff(15498,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15499,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15500,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 13.48/9.57 tff(15501,plain,
% 13.48/9.57 (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15500, 1275, 15461])).
% 13.48/9.57 tff(15502,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15503,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b101(bitIndex0)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15504,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b101(bitIndex0))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 13.48/9.57 tff(15505,plain,
% 13.48/9.57 (v130(constB105, bitIndex0) <=> b101(bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15504, 1275, 15470])).
% 13.48/9.57 tff(15506,plain,
% 13.48/9.57 ((~(v130(constB105, bitIndex0) <=> b101(bitIndex0))) | v130(constB105, bitIndex0) | (~b101(bitIndex0))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15507,plain,
% 13.48/9.57 ((~(v130(constB105, bitIndex0) <=> b101(bitIndex0))) | v130(constB105, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15506, 2351])).
% 13.48/9.57 tff(15508,plain,
% 13.48/9.57 (v130(constB105, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15507, 15505])).
% 13.48/9.57 tff(15509,plain,
% 13.48/9.57 ((~(v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0))) | v127(constB105, bitIndex0) | (~v130(constB105, bitIndex0))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15510,plain,
% 13.48/9.57 (v127(constB105, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15509, 15508, 15501])).
% 13.48/9.57 tff(15511,plain,
% 13.48/9.57 ((~(v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0))) | v129(constB106, bitIndex0) | (~v127(constB105, bitIndex0))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15512,plain,
% 13.48/9.57 (v129(constB106, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15511, 15510, 15497])).
% 13.48/9.57 tff(15513,plain,
% 13.48/9.57 ((~(v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15514,plain,
% 13.48/9.57 (v90(constB106, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15513, 15512, 15493])).
% 13.48/9.57 tff(15515,plain,
% 13.48/9.57 ((~(v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0))) | v90(constB107, bitIndex0) | (~v90(constB106, bitIndex0))),
% 13.48/9.57 inference(tautology,[status(thm)],[])).
% 13.48/9.57 tff(15516,plain,
% 13.48/9.57 (v90(constB107, bitIndex0)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15515, 15514, 15489])).
% 13.48/9.57 tff(15517,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15518,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15519,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 13.48/9.57 tff(15520,plain,
% 13.48/9.57 (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15519, 1288, 3582])).
% 13.48/9.57 tff(15521,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15522,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.57 tff(15523,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1))),
% 13.48/9.57 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 13.48/9.57 tff(15524,plain,
% 13.48/9.57 (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)),
% 13.48/9.57 inference(unit_resolution,[status(thm)],[15523, 1288, 15445])).
% 13.48/9.57 tff(15525,plain,
% 13.48/9.57 (((~![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)))),
% 13.48/9.57 inference(rewrite,[status(thm)],[])).
% 13.48/9.57 tff(15526,plain,
% 13.48/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))),
% 13.48/9.57 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15527,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15526, 15525])).
% 13.48/9.58 tff(15528,plain,
% 13.48/9.58 (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15527, 1288, 15453])).
% 13.48/9.58 tff(15529,plain,
% 13.48/9.58 (((~![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)))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15530,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15531,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15530, 15529])).
% 13.48/9.58 tff(15532,plain,
% 13.48/9.58 (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15531, 1288, 15461])).
% 13.48/9.58 tff(15533,plain,
% 13.48/9.58 (((~![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)))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15534,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b101(bitIndex1)))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15535,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b101(bitIndex1))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 13.48/9.58 tff(15536,plain,
% 13.48/9.58 (v130(constB105, bitIndex1) <=> b101(bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15535, 1288, 15470])).
% 13.48/9.58 tff(15537,plain,
% 13.48/9.58 ((~(v130(constB105, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB105, bitIndex1)) | b101(bitIndex1)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15538,plain,
% 13.48/9.58 ((~(v130(constB105, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB105, bitIndex1))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15537, 2391])).
% 13.48/9.58 tff(15539,plain,
% 13.48/9.58 (~v130(constB105, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15538, 15536])).
% 13.48/9.58 tff(15540,plain,
% 13.48/9.58 ((~(v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1))) | (~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15541,plain,
% 13.48/9.58 (~v127(constB105, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15540, 15539, 15532])).
% 13.48/9.58 tff(15542,plain,
% 13.48/9.58 ((~(v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1))) | (~v129(constB106, bitIndex1)) | v127(constB105, bitIndex1)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15543,plain,
% 13.48/9.58 (~v129(constB106, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15542, 15541, 15528])).
% 13.48/9.58 tff(15544,plain,
% 13.48/9.58 ((~(v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15545,plain,
% 13.48/9.58 (~v90(constB106, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15544, 15543, 15524])).
% 13.48/9.58 tff(15546,plain,
% 13.48/9.58 ((~(v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1))) | (~v90(constB107, bitIndex1)) | v90(constB106, bitIndex1)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15547,plain,
% 13.48/9.58 (~v90(constB107, bitIndex1)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15546, 15545, 15520])).
% 13.48/9.58 tff(15548,plain,
% 13.48/9.58 ((~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))) | (~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15549,plain,
% 13.48/9.58 (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15548, 15547, 15516, 15485])).
% 13.48/9.58 tff(15550,plain,
% 13.48/9.58 ((~(v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))) | v124(constB107) | ((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15551,plain,
% 13.48/9.58 (v124(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15550, 15549, 3554])).
% 13.48/9.58 tff(15552,plain,
% 13.48/9.58 ((v115(constB107) | v124(constB107)) | (~v124(constB107))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15553,plain,
% 13.48/9.58 (v115(constB107) | v124(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15552, 15551])).
% 13.48/9.58 tff(15554,plain,
% 13.48/9.58 ((~(v114(constB107) <=> (v115(constB107) | v124(constB107)))) | v114(constB107) | (~(v115(constB107) | v124(constB107)))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15555,plain,
% 13.48/9.58 (v114(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15554, 15553, 3547])).
% 13.48/9.58 tff(15556,plain,
% 13.48/9.58 ((v114(constB107) | v125(constB107)) | (~v114(constB107))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15557,plain,
% 13.48/9.58 (v114(constB107) | v125(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15556, 15555])).
% 13.48/9.58 tff(15558,plain,
% 13.48/9.58 ((~(v113(constB107) <=> (v114(constB107) | v125(constB107)))) | v113(constB107) | (~(v114(constB107) | v125(constB107)))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15559,plain,
% 13.48/9.58 (v113(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15558, 15557, 3545])).
% 13.48/9.58 tff(15560,plain,
% 13.48/9.58 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB107)) <=> v111(constB107))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15561,plain,
% 13.48/9.58 ((~v126(constB107)) <=> v111(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15560, 1345])).
% 13.48/9.58 tff(15562,plain,
% 13.48/9.58 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB107) <=> v26(constB107))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15563,plain,
% 13.48/9.58 (v111(constB107) <=> v26(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15562, 1357])).
% 13.48/9.58 tff(15564,plain,
% 13.48/9.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15565,plain,
% 13.48/9.58 (~v26(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15564, 1369])).
% 13.48/9.58 tff(15566,plain,
% 13.48/9.58 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107)) | v26(constB107)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15567,plain,
% 13.48/9.58 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15566, 15565])).
% 13.48/9.58 tff(15568,plain,
% 13.48/9.58 (~v111(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15567, 15563])).
% 13.48/9.58 tff(15569,plain,
% 13.48/9.58 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107) | v111(constB107)),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15570,plain,
% 13.48/9.58 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15569, 15568])).
% 13.48/9.58 tff(15571,plain,
% 13.48/9.58 (v126(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15570, 15561])).
% 13.48/9.58 tff(15572,plain,
% 13.48/9.58 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107)) | (~v126(constB107))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15573,plain,
% 13.48/9.58 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15572, 15571])).
% 13.48/9.58 tff(15574,plain,
% 13.48/9.58 (~((~v113(constB107)) | (~v126(constB107)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15573, 15559])).
% 13.48/9.58 tff(15575,plain,
% 13.48/9.58 ((~(v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))) | v112(constB107) | ((~v113(constB107)) | (~v126(constB107)))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15576,plain,
% 13.48/9.58 (v112(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15575, 15574, 3543])).
% 13.48/9.58 tff(15577,plain,
% 13.48/9.58 ((v111(constB107) | v112(constB107)) | (~v112(constB107))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15578,plain,
% 13.48/9.58 (v111(constB107) | v112(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15577, 15576])).
% 13.48/9.58 tff(15579,plain,
% 13.48/9.58 ((~(v108(constB107) <=> (v111(constB107) | v112(constB107)))) | v108(constB107) | (~(v111(constB107) | v112(constB107)))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15580,plain,
% 13.48/9.58 (v108(constB107)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15579, 15578, 3541])).
% 13.48/9.58 tff(15581,plain,
% 13.48/9.58 ((~(v110(constB108) <=> v108(constB107))) | v110(constB108) | (~v108(constB107))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15582,plain,
% 13.48/9.58 (v110(constB108)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15581, 15580, 3539])).
% 13.48/9.58 tff(15583,plain,
% 13.48/9.58 ((~((~v101(constB108)) | (~v110(constB108)))) | (~v101(constB108)) | (~v110(constB108))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15584,plain,
% 13.48/9.58 (~((~v101(constB108)) | (~v110(constB108)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15583, 15582, 3535])).
% 13.48/9.58 tff(15585,plain,
% 13.48/9.58 ((~(v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))) | v100(constB108) | ((~v101(constB108)) | (~v110(constB108)))),
% 13.48/9.58 inference(tautology,[status(thm)],[])).
% 13.48/9.58 tff(15586,plain,
% 13.48/9.58 (v100(constB108)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15585, 15584, 3504])).
% 13.48/9.58 tff(15587,plain,
% 13.48/9.58 (((~![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))))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15588,plain,
% 13.48/9.58 ((~![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))))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15589,plain,
% 13.48/9.58 ((~![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)))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15588, 15587])).
% 13.48/9.58 tff(15590,plain,
% 13.48/9.58 ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15589, 1405])).
% 13.48/9.58 tff(15591,plain,
% 13.48/9.58 (![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15590, 15586])).
% 13.48/9.58 tff(15592,plain,
% 13.48/9.58 (((~![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)))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15593,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15594,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15593, 15592])).
% 13.48/9.58 tff(15595,plain,
% 13.48/9.58 (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15594, 579, 15591])).
% 13.48/9.58 tff(15596,plain,
% 13.48/9.58 (((~![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))))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15597,plain,
% 13.48/9.58 ((~![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))))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15598,plain,
% 13.48/9.58 ((~![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)))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 13.48/9.58 tff(15599,plain,
% 13.48/9.58 (![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15598, 3500, 1427])).
% 13.48/9.58 tff(15600,plain,
% 13.48/9.58 (((~![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)))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15601,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15602,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15601, 15600])).
% 13.48/9.58 tff(15603,plain,
% 13.48/9.58 (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15602, 579, 15599])).
% 13.48/9.58 tff(15604,plain,
% 13.48/9.58 (((~![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))))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15605,plain,
% 13.48/9.58 ((~![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))))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15606,plain,
% 13.48/9.58 ((~![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)))),
% 13.48/9.58 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 13.48/9.58 tff(15607,plain,
% 13.48/9.58 (![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))),
% 13.48/9.58 inference(unit_resolution,[status(thm)],[15606, 1448, 15568])).
% 13.48/9.58 tff(15608,plain,
% 13.48/9.58 (((~![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)))),
% 13.48/9.58 inference(rewrite,[status(thm)],[])).
% 13.48/9.58 tff(15609,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))),
% 13.48/9.58 inference(quant_inst,[status(thm)],[])).
% 13.48/9.58 tff(15610,plain,
% 13.48/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 13.48/9.59 tff(15611,plain,
% 13.48/9.59 (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15610, 579, 15607])).
% 13.48/9.59 tff(15612,plain,
% 13.48/9.59 (((~![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))))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15613,plain,
% 13.48/9.59 ((~![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))))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15614,plain,
% 13.48/9.59 ((~![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)))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 13.48/9.59 tff(15615,plain,
% 13.48/9.59 ((~v124(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15614, 2735])).
% 13.48/9.59 tff(15616,plain,
% 13.48/9.59 (![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15615, 15551])).
% 13.48/9.59 tff(15617,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15618,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b110(bitIndex2)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15619,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b110(bitIndex2))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 13.48/9.59 tff(15620,plain,
% 13.48/9.59 (v130(constB107, bitIndex2) <=> b110(bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15619, 579, 15616])).
% 13.48/9.59 tff(15621,plain,
% 13.48/9.59 ((~(v130(constB107, bitIndex2) <=> b110(bitIndex2))) | v130(constB107, bitIndex2) | (~b110(bitIndex2))),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15622,plain,
% 13.48/9.59 ((~(v130(constB107, bitIndex2) <=> b110(bitIndex2))) | v130(constB107, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15621, 2747])).
% 13.48/9.59 tff(15623,plain,
% 13.48/9.59 (v130(constB107, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15622, 15620])).
% 13.48/9.59 tff(15624,plain,
% 13.48/9.59 ((~(v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2))) | v127(constB107, bitIndex2) | (~v130(constB107, bitIndex2))),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15625,plain,
% 13.48/9.59 (v127(constB107, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15624, 15623, 15611])).
% 13.48/9.59 tff(15626,plain,
% 13.48/9.59 ((~(v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2))) | v129(constB108, bitIndex2) | (~v127(constB107, bitIndex2))),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15627,plain,
% 13.48/9.59 (v129(constB108, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15626, 15625, 15603])).
% 13.48/9.59 tff(15628,plain,
% 13.48/9.59 ((~(v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15629,plain,
% 13.48/9.59 (v90(constB108, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15628, 15627, 15595])).
% 13.48/9.59 tff(15630,plain,
% 13.48/9.59 ((~(v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2))) | v90(constB109, bitIndex2) | (~v90(constB108, bitIndex2))),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15631,plain,
% 13.48/9.59 (v90(constB109, bitIndex2)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15630, 15629, 3497])).
% 13.48/9.59 tff(15632,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15633,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15634,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15633, 15632])).
% 13.48/9.59 tff(15635,plain,
% 13.48/9.59 (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15634, 1275, 3493])).
% 13.48/9.59 tff(15636,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15637,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15638,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15637, 15636])).
% 13.48/9.59 tff(15639,plain,
% 13.48/9.59 (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15638, 1275, 15591])).
% 13.48/9.59 tff(15640,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15641,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15642,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15641, 15640])).
% 13.48/9.59 tff(15643,plain,
% 13.48/9.59 (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15642, 1275, 15599])).
% 13.48/9.59 tff(15644,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15645,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15646,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 13.48/9.59 tff(15647,plain,
% 13.48/9.59 (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15646, 1275, 15607])).
% 13.48/9.59 tff(15648,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15649,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b110(bitIndex0)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15650,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b110(bitIndex0))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15649, 15648])).
% 13.48/9.59 tff(15651,plain,
% 13.48/9.59 (v130(constB107, bitIndex0) <=> b110(bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15650, 1275, 15616])).
% 13.48/9.59 tff(15652,plain,
% 13.48/9.59 ((~(v130(constB107, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB107, bitIndex0)) | b110(bitIndex0)),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15653,plain,
% 13.48/9.59 ((~(v130(constB107, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB107, bitIndex0))),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15652, 2862])).
% 13.48/9.59 tff(15654,plain,
% 13.48/9.59 (~v130(constB107, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15653, 15651])).
% 13.48/9.59 tff(15655,plain,
% 13.48/9.59 ((~(v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0))) | (~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15656,plain,
% 13.48/9.59 (~v127(constB107, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15655, 15654, 15647])).
% 13.48/9.59 tff(15657,plain,
% 13.48/9.59 ((~(v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0))) | (~v129(constB108, bitIndex0)) | v127(constB107, bitIndex0)),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15658,plain,
% 13.48/9.59 (~v129(constB108, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15657, 15656, 15643])).
% 13.48/9.59 tff(15659,plain,
% 13.48/9.59 ((~(v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15660,plain,
% 13.48/9.59 (~v90(constB108, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15659, 15658, 15639])).
% 13.48/9.59 tff(15661,plain,
% 13.48/9.59 ((~(v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0))) | (~v90(constB109, bitIndex0)) | v90(constB108, bitIndex0)),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15662,plain,
% 13.48/9.59 (~v90(constB109, bitIndex0)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15661, 15660, 15635])).
% 13.48/9.59 tff(15663,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15664,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15665,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15664, 15663])).
% 13.48/9.59 tff(15666,plain,
% 13.48/9.59 (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15665, 1288, 3493])).
% 13.48/9.59 tff(15667,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15668,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15669,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 13.48/9.59 tff(15670,plain,
% 13.48/9.59 (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15669, 1288, 15591])).
% 13.48/9.59 tff(15671,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15672,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15673,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15672, 15671])).
% 13.48/9.59 tff(15674,plain,
% 13.48/9.59 (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15673, 1288, 15599])).
% 13.48/9.59 tff(15675,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15676,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15677,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15676, 15675])).
% 13.48/9.59 tff(15678,plain,
% 13.48/9.59 (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15677, 1288, 15607])).
% 13.48/9.59 tff(15679,plain,
% 13.48/9.59 (((~![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)))),
% 13.48/9.59 inference(rewrite,[status(thm)],[])).
% 13.48/9.59 tff(15680,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b110(bitIndex1)))),
% 13.48/9.59 inference(quant_inst,[status(thm)],[])).
% 13.48/9.59 tff(15681,plain,
% 13.48/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b110(bitIndex1))),
% 13.48/9.59 inference(modus_ponens,[status(thm)],[15680, 15679])).
% 13.48/9.59 tff(15682,plain,
% 13.48/9.59 (v130(constB107, bitIndex1) <=> b110(bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15681, 1288, 15616])).
% 13.48/9.59 tff(15683,plain,
% 13.48/9.59 ((~(v130(constB107, bitIndex1) <=> b110(bitIndex1))) | v130(constB107, bitIndex1) | (~b110(bitIndex1))),
% 13.48/9.59 inference(tautology,[status(thm)],[])).
% 13.48/9.59 tff(15684,plain,
% 13.48/9.59 ((~(v130(constB107, bitIndex1) <=> b110(bitIndex1))) | v130(constB107, bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15683, 2902])).
% 13.48/9.59 tff(15685,plain,
% 13.48/9.59 (v130(constB107, bitIndex1)),
% 13.48/9.59 inference(unit_resolution,[status(thm)],[15684, 15682])).
% 13.48/9.59 tff(15686,plain,
% 13.48/9.59 ((~(v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1))) | v127(constB107, bitIndex1) | (~v130(constB107, bitIndex1))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15687,plain,
% 13.48/9.60 (v127(constB107, bitIndex1)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15686, 15685, 15678])).
% 13.48/9.60 tff(15688,plain,
% 13.48/9.60 ((~(v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1))) | v129(constB108, bitIndex1) | (~v127(constB107, bitIndex1))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15689,plain,
% 13.48/9.60 (v129(constB108, bitIndex1)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15688, 15687, 15674])).
% 13.48/9.60 tff(15690,plain,
% 13.48/9.60 ((~(v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15691,plain,
% 13.48/9.60 (v90(constB108, bitIndex1)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15690, 15689, 15670])).
% 13.48/9.60 tff(15692,plain,
% 13.48/9.60 ((~(v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1))) | v90(constB109, bitIndex1) | (~v90(constB108, bitIndex1))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15693,plain,
% 13.48/9.60 (v90(constB109, bitIndex1)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15692, 15691, 15666])).
% 13.48/9.60 tff(15694,plain,
% 13.48/9.60 ((~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15695,plain,
% 13.48/9.60 (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15694, 15693, 15662, 15631])).
% 13.48/9.60 tff(15696,plain,
% 13.48/9.60 ((~(v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) | v125(constB109) | ((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15697,plain,
% 13.48/9.60 (v125(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15696, 15695, 3465])).
% 13.48/9.60 tff(15698,plain,
% 13.48/9.60 ((v114(constB109) | v125(constB109)) | (~v125(constB109))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15699,plain,
% 13.48/9.60 (v114(constB109) | v125(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15698, 15697])).
% 13.48/9.60 tff(15700,plain,
% 13.48/9.60 ((~(v113(constB109) <=> (v114(constB109) | v125(constB109)))) | v113(constB109) | (~(v114(constB109) | v125(constB109)))),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15701,plain,
% 13.48/9.60 (v113(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15700, 15699, 3445])).
% 13.48/9.60 tff(15702,plain,
% 13.48/9.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB109)) <=> v111(constB109))),
% 13.48/9.60 inference(quant_inst,[status(thm)],[])).
% 13.48/9.60 tff(15703,plain,
% 13.48/9.60 ((~v126(constB109)) <=> v111(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15702, 1345])).
% 13.48/9.60 tff(15704,plain,
% 13.48/9.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB109) <=> v26(constB109))),
% 13.48/9.60 inference(quant_inst,[status(thm)],[])).
% 13.48/9.60 tff(15705,plain,
% 13.48/9.60 (v111(constB109) <=> v26(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15704, 1357])).
% 13.48/9.60 tff(15706,plain,
% 13.48/9.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 13.48/9.60 inference(quant_inst,[status(thm)],[])).
% 13.48/9.60 tff(15707,plain,
% 13.48/9.60 (~v26(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15706, 1369])).
% 13.48/9.60 tff(15708,plain,
% 13.48/9.60 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109)) | v26(constB109)),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15709,plain,
% 13.48/9.60 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109))),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15708, 15707])).
% 13.48/9.60 tff(15710,plain,
% 13.48/9.60 (~v111(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15709, 15705])).
% 13.48/9.60 tff(15711,plain,
% 13.48/9.60 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109) | v111(constB109)),
% 13.48/9.60 inference(tautology,[status(thm)],[])).
% 13.48/9.60 tff(15712,plain,
% 13.48/9.60 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15711, 15710])).
% 13.48/9.60 tff(15713,plain,
% 13.48/9.60 (v126(constB109)),
% 13.48/9.60 inference(unit_resolution,[status(thm)],[15712, 15703])).
% 13.56/9.60 tff(15714,plain,
% 13.56/9.60 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109)) | (~v126(constB109))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15715,plain,
% 13.56/9.60 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15714, 15713])).
% 13.56/9.60 tff(15716,plain,
% 13.56/9.60 (~((~v113(constB109)) | (~v126(constB109)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15715, 15701])).
% 13.56/9.60 tff(15717,plain,
% 13.56/9.60 ((~(v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))) | v112(constB109) | ((~v113(constB109)) | (~v126(constB109)))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15718,plain,
% 13.56/9.60 (v112(constB109)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15717, 15716, 3443])).
% 13.56/9.60 tff(15719,plain,
% 13.56/9.60 ((v111(constB109) | v112(constB109)) | (~v112(constB109))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15720,plain,
% 13.56/9.60 (v111(constB109) | v112(constB109)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15719, 15718])).
% 13.56/9.60 tff(15721,plain,
% 13.56/9.60 ((~(v108(constB109) <=> (v111(constB109) | v112(constB109)))) | v108(constB109) | (~(v111(constB109) | v112(constB109)))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15722,plain,
% 13.56/9.60 (v108(constB109)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15721, 15720, 3441])).
% 13.56/9.60 tff(15723,plain,
% 13.56/9.60 ((~(v110(constB110) <=> v108(constB109))) | v110(constB110) | (~v108(constB109))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15724,plain,
% 13.56/9.60 (v110(constB110)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15723, 15722, 3439])).
% 13.56/9.60 tff(15725,plain,
% 13.56/9.60 ((~((~v101(constB110)) | (~v110(constB110)))) | (~v101(constB110)) | (~v110(constB110))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15726,plain,
% 13.56/9.60 (~((~v101(constB110)) | (~v110(constB110)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15725, 15724, 3435])).
% 13.56/9.60 tff(15727,plain,
% 13.56/9.60 ((~(v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))) | v100(constB110) | ((~v101(constB110)) | (~v110(constB110)))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15728,plain,
% 13.56/9.60 (v100(constB110)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15727, 15726, 3404])).
% 13.56/9.60 tff(15729,plain,
% 13.56/9.60 (((~![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))))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15730,plain,
% 13.56/9.60 ((~![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))))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15731,plain,
% 13.56/9.60 ((~![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)))),
% 13.56/9.60 inference(modus_ponens,[status(thm)],[15730, 15729])).
% 13.56/9.60 tff(15732,plain,
% 13.56/9.60 ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15731, 1405])).
% 13.56/9.60 tff(15733,plain,
% 13.56/9.60 (![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15732, 15728])).
% 13.56/9.60 tff(15734,plain,
% 13.56/9.60 (((~![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)))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15735,plain,
% 13.56/9.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15736,plain,
% 13.56/9.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2))),
% 13.56/9.60 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 13.56/9.60 tff(15737,plain,
% 13.56/9.60 (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15736, 579, 15733])).
% 13.56/9.60 tff(15738,plain,
% 13.56/9.60 (((~![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))))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15739,plain,
% 13.56/9.60 ((~![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))))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15740,plain,
% 13.56/9.60 ((~![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)))),
% 13.56/9.60 inference(modus_ponens,[status(thm)],[15739, 15738])).
% 13.56/9.60 tff(15741,plain,
% 13.56/9.60 (![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15740, 3400, 1427])).
% 13.56/9.60 tff(15742,plain,
% 13.56/9.60 (((~![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)))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15743,plain,
% 13.56/9.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15744,plain,
% 13.56/9.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2))),
% 13.56/9.60 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 13.56/9.60 tff(15745,plain,
% 13.56/9.60 (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15744, 579, 15741])).
% 13.56/9.60 tff(15746,plain,
% 13.56/9.60 (((~![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))))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15747,plain,
% 13.56/9.60 ((~![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))))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15748,plain,
% 13.56/9.60 ((~![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)))),
% 13.56/9.60 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 13.56/9.60 tff(15749,plain,
% 13.56/9.60 (![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15748, 1448, 15710])).
% 13.56/9.60 tff(15750,plain,
% 13.56/9.60 (((~![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)))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15751,plain,
% 13.56/9.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15752,plain,
% 13.56/9.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2))),
% 13.56/9.60 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 13.56/9.60 tff(15753,plain,
% 13.56/9.60 (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15752, 579, 15749])).
% 13.56/9.60 tff(15754,plain,
% 13.56/9.60 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))))),
% 13.56/9.60 inference(quant_inst,[status(thm)],[])).
% 13.56/9.60 tff(15755,plain,
% 13.56/9.60 (v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)))),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15754, 1242])).
% 13.56/9.60 tff(15756,plain,
% 13.56/9.60 ((v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex2))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15757,plain,
% 13.56/9.60 (v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15756, 15631])).
% 13.56/9.60 tff(15758,plain,
% 13.56/9.60 ((~(v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))))) | (~v119(constB109)) | (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)))),
% 13.56/9.60 inference(tautology,[status(thm)],[])).
% 13.56/9.60 tff(15759,plain,
% 13.56/9.60 (~v119(constB109)),
% 13.56/9.60 inference(unit_resolution,[status(thm)],[15758, 15757, 15755])).
% 13.56/9.60 tff(15760,plain,
% 13.56/9.60 (((~![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))))))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15761,plain,
% 13.56/9.60 ((v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2))))) <=> (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.60 inference(rewrite,[status(thm)],[])).
% 13.56/9.60 tff(15762,plain,
% 13.56/9.60 (((~![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))))))),
% 13.56/9.60 inference(monotonicity,[status(thm)],[15761])).
% 13.56/9.60 tff(15763,plain,
% 13.56/9.60 (((~![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))))))),
% 13.56/9.61 inference(transitivity,[status(thm)],[15762, 15760])).
% 13.56/9.61 tff(15764,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))),
% 13.56/9.61 inference(quant_inst,[status(thm)],[])).
% 13.56/9.61 tff(15765,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.61 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 13.56/9.61 tff(15766,plain,
% 13.56/9.61 (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15765, 2651])).
% 13.56/9.61 tff(15767,plain,
% 13.56/9.61 (((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex1))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15768,plain,
% 13.56/9.61 ((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15767, 15693])).
% 13.56/9.61 tff(15769,plain,
% 13.56/9.61 ((~(v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))) | (~v124(constB109)) | (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15770,plain,
% 13.56/9.61 (~v124(constB109)),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15769, 15768, 15766])).
% 13.56/9.61 tff(15771,plain,
% 13.56/9.61 (((~![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)))))),
% 13.56/9.61 inference(rewrite,[status(thm)],[])).
% 13.56/9.61 tff(15772,plain,
% 13.56/9.61 ((v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2))))) <=> (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(rewrite,[status(thm)],[])).
% 13.56/9.61 tff(15773,plain,
% 13.56/9.61 (((~![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)))))),
% 13.56/9.61 inference(monotonicity,[status(thm)],[15772])).
% 13.56/9.61 tff(15774,plain,
% 13.56/9.61 (((~![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)))))),
% 13.56/9.61 inference(transitivity,[status(thm)],[15773, 15771])).
% 13.56/9.61 tff(15775,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))),
% 13.56/9.61 inference(quant_inst,[status(thm)],[])).
% 13.56/9.61 tff(15776,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 13.56/9.61 tff(15777,plain,
% 13.56/9.61 (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15776, 787])).
% 13.56/9.61 tff(15778,plain,
% 13.56/9.61 (((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15779,plain,
% 13.56/9.61 ((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15778, 15693])).
% 13.56/9.61 tff(15780,plain,
% 13.56/9.61 ((~(v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))) | (~v123(constB109)) | (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15781,plain,
% 13.56/9.61 (~v123(constB109)),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15780, 15779, 15777])).
% 13.56/9.61 tff(15782,plain,
% 13.56/9.61 (((~![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))))))),
% 13.56/9.61 inference(rewrite,[status(thm)],[])).
% 13.56/9.61 tff(15783,plain,
% 13.56/9.61 ((v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1))))) <=> (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.61 inference(rewrite,[status(thm)],[])).
% 13.56/9.61 tff(15784,plain,
% 13.56/9.61 (((~![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))))))),
% 13.56/9.61 inference(monotonicity,[status(thm)],[15783])).
% 13.56/9.61 tff(15785,plain,
% 13.56/9.61 (((~![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))))))),
% 13.56/9.61 inference(transitivity,[status(thm)],[15784, 15782])).
% 13.56/9.61 tff(15786,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))),
% 13.56/9.61 inference(quant_inst,[status(thm)],[])).
% 13.56/9.61 tff(15787,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.61 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 13.56/9.61 tff(15788,plain,
% 13.56/9.61 (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15787, 900])).
% 13.56/9.61 tff(15789,plain,
% 13.56/9.61 ((v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15790,plain,
% 13.56/9.61 (v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15789, 15631])).
% 13.56/9.61 tff(15791,plain,
% 13.56/9.61 ((~(v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))) | (~v122(constB109)) | (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15792,plain,
% 13.56/9.61 (~v122(constB109)),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15791, 15790, 15788])).
% 13.56/9.61 tff(15793,plain,
% 13.56/9.61 (((~![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)))))),
% 13.56/9.61 inference(rewrite,[status(thm)],[])).
% 13.56/9.61 tff(15794,plain,
% 13.56/9.61 ((v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1))))) <=> (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(rewrite,[status(thm)],[])).
% 13.56/9.61 tff(15795,plain,
% 13.56/9.61 (((~![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)))))),
% 13.56/9.61 inference(monotonicity,[status(thm)],[15794])).
% 13.56/9.61 tff(15796,plain,
% 13.56/9.61 (((~![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)))))),
% 13.56/9.61 inference(transitivity,[status(thm)],[15795, 15793])).
% 13.56/9.61 tff(15797,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))),
% 13.56/9.61 inference(quant_inst,[status(thm)],[])).
% 13.56/9.61 tff(15798,plain,
% 13.56/9.61 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 13.56/9.61 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 13.56/9.61 tff(15799,plain,
% 13.56/9.61 (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15798, 1015])).
% 13.56/9.61 tff(15800,plain,
% 13.56/9.61 ((v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2))),
% 13.56/9.61 inference(tautology,[status(thm)],[])).
% 13.56/9.61 tff(15801,plain,
% 13.56/9.61 (v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)),
% 13.56/9.61 inference(unit_resolution,[status(thm)],[15800, 15631])).
% 13.56/9.61 tff(15802,plain,
% 13.56/9.61 ((~(v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) | (~v121(constB109)) | (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15803,plain,
% 13.56/9.62 (~v121(constB109)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15802, 15801, 15799])).
% 13.56/9.62 tff(15804,plain,
% 13.56/9.62 (((~![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))))))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15805,plain,
% 13.56/9.62 ((v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0))))) <=> (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15806,plain,
% 13.56/9.62 (((~![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))))))),
% 13.56/9.62 inference(monotonicity,[status(thm)],[15805])).
% 13.56/9.62 tff(15807,plain,
% 13.56/9.62 (((~![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))))))),
% 13.56/9.62 inference(transitivity,[status(thm)],[15806, 15804])).
% 13.56/9.62 tff(15808,plain,
% 13.56/9.62 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15809,plain,
% 13.56/9.62 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 13.56/9.62 tff(15810,plain,
% 13.56/9.62 (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15809, 1132])).
% 13.56/9.62 tff(15811,plain,
% 13.56/9.62 ((v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2))),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15812,plain,
% 13.56/9.62 (v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15811, 15631])).
% 13.56/9.62 tff(15813,plain,
% 13.56/9.62 ((~(v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))) | (~v120(constB109)) | (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15814,plain,
% 13.56/9.62 (~v120(constB109)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15813, 15812, 15810])).
% 13.56/9.62 tff(15815,plain,
% 13.56/9.62 (((~![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))))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15816,plain,
% 13.56/9.62 ((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))))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15817,plain,
% 13.56/9.62 (((~![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)))))),
% 13.56/9.62 inference(monotonicity,[status(thm)],[15816])).
% 13.56/9.62 tff(15818,plain,
% 13.56/9.62 (((~![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))))),
% 13.56/9.62 inference(transitivity,[status(thm)],[15817, 15815])).
% 13.56/9.62 tff(15819,plain,
% 13.56/9.62 ((~![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))))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15820,plain,
% 13.56/9.62 ((~![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)))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 13.56/9.62 tff(15821,plain,
% 13.56/9.62 (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15820, 8006])).
% 13.56/9.62 tff(15822,plain,
% 13.56/9.62 (![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15821, 15814, 15803, 15792, 15781, 15770, 15759])).
% 13.56/9.62 tff(15823,plain,
% 13.56/9.62 (((~![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)))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15824,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b001(bitIndex2)))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15825,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b001(bitIndex2))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 13.56/9.62 tff(15826,plain,
% 13.56/9.62 (v130(constB109, bitIndex2) <=> b001(bitIndex2)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15825, 579, 15822])).
% 13.56/9.62 tff(15827,plain,
% 13.56/9.62 ((~(v130(constB109, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB109, bitIndex2)) | b001(bitIndex2)),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15828,plain,
% 13.56/9.62 ((~(v130(constB109, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB109, bitIndex2))),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15827, 1480])).
% 13.56/9.62 tff(15829,plain,
% 13.56/9.62 (~v130(constB109, bitIndex2)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15828, 15826])).
% 13.56/9.62 tff(15830,plain,
% 13.56/9.62 ((~(v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2))) | (~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15831,plain,
% 13.56/9.62 (~v127(constB109, bitIndex2)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15830, 15829, 15753])).
% 13.56/9.62 tff(15832,plain,
% 13.56/9.62 ((~(v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2))) | (~v129(constB110, bitIndex2)) | v127(constB109, bitIndex2)),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15833,plain,
% 13.56/9.62 (~v129(constB110, bitIndex2)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15832, 15831, 15745])).
% 13.56/9.62 tff(15834,plain,
% 13.56/9.62 ((~(v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15835,plain,
% 13.56/9.62 (~v90(constB110, bitIndex2)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15834, 15833, 15737])).
% 13.56/9.62 tff(15836,plain,
% 13.56/9.62 ((~(v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2))) | (~v90(constB111, bitIndex2)) | v90(constB110, bitIndex2)),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15837,plain,
% 13.56/9.62 (~v90(constB111, bitIndex2)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15836, 15835, 3397])).
% 13.56/9.62 tff(15838,plain,
% 13.56/9.62 (((~![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)))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15839,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15840,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 13.56/9.62 tff(15841,plain,
% 13.56/9.62 (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15840, 1275, 3393])).
% 13.56/9.62 tff(15842,plain,
% 13.56/9.62 (((~![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)))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15843,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15844,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 13.56/9.62 tff(15845,plain,
% 13.56/9.62 (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15844, 1275, 15733])).
% 13.56/9.62 tff(15846,plain,
% 13.56/9.62 (((~![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)))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15847,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15848,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 13.56/9.62 tff(15849,plain,
% 13.56/9.62 (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15848, 1275, 15741])).
% 13.56/9.62 tff(15850,plain,
% 13.56/9.62 (((~![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)))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15851,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15852,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 13.56/9.62 tff(15853,plain,
% 13.56/9.62 (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15852, 1275, 15749])).
% 13.56/9.62 tff(15854,plain,
% 13.56/9.62 (((~![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)))),
% 13.56/9.62 inference(rewrite,[status(thm)],[])).
% 13.56/9.62 tff(15855,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b001(bitIndex0)))),
% 13.56/9.62 inference(quant_inst,[status(thm)],[])).
% 13.56/9.62 tff(15856,plain,
% 13.56/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b001(bitIndex0))),
% 13.56/9.62 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 13.56/9.62 tff(15857,plain,
% 13.56/9.62 (v130(constB109, bitIndex0) <=> b001(bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15856, 1275, 15822])).
% 13.56/9.62 tff(15858,plain,
% 13.56/9.62 ((~(v130(constB109, bitIndex0) <=> b001(bitIndex0))) | v130(constB109, bitIndex0) | (~b001(bitIndex0))),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15859,plain,
% 13.56/9.62 ((~(v130(constB109, bitIndex0) <=> b001(bitIndex0))) | v130(constB109, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15858, 1514])).
% 13.56/9.62 tff(15860,plain,
% 13.56/9.62 (v130(constB109, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15859, 15857])).
% 13.56/9.62 tff(15861,plain,
% 13.56/9.62 ((~(v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0))) | v127(constB109, bitIndex0) | (~v130(constB109, bitIndex0))),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15862,plain,
% 13.56/9.62 (v127(constB109, bitIndex0)),
% 13.56/9.62 inference(unit_resolution,[status(thm)],[15861, 15860, 15853])).
% 13.56/9.62 tff(15863,plain,
% 13.56/9.62 ((~(v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0))) | v129(constB110, bitIndex0) | (~v127(constB109, bitIndex0))),
% 13.56/9.62 inference(tautology,[status(thm)],[])).
% 13.56/9.62 tff(15864,plain,
% 13.56/9.62 (v129(constB110, bitIndex0)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15863, 15862, 15849])).
% 13.56/9.63 tff(15865,plain,
% 13.56/9.63 ((~(v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15866,plain,
% 13.56/9.63 (v90(constB110, bitIndex0)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15865, 15864, 15845])).
% 13.56/9.63 tff(15867,plain,
% 13.56/9.63 ((~(v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0))) | v90(constB111, bitIndex0) | (~v90(constB110, bitIndex0))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15868,plain,
% 13.56/9.63 (v90(constB111, bitIndex0)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15867, 15866, 15841])).
% 13.56/9.63 tff(15869,plain,
% 13.56/9.63 (((~![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)))),
% 13.56/9.63 inference(rewrite,[status(thm)],[])).
% 13.56/9.63 tff(15870,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15871,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1))),
% 13.56/9.63 inference(modus_ponens,[status(thm)],[15870, 15869])).
% 13.56/9.63 tff(15872,plain,
% 13.56/9.63 (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15871, 1288, 3393])).
% 13.56/9.63 tff(15873,plain,
% 13.56/9.63 (((~![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)))),
% 13.56/9.63 inference(rewrite,[status(thm)],[])).
% 13.56/9.63 tff(15874,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15875,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1))),
% 13.56/9.63 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 13.56/9.63 tff(15876,plain,
% 13.56/9.63 (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15875, 1288, 15733])).
% 13.56/9.63 tff(15877,plain,
% 13.56/9.63 (((~![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)))),
% 13.56/9.63 inference(rewrite,[status(thm)],[])).
% 13.56/9.63 tff(15878,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15879,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1))),
% 13.56/9.63 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 13.56/9.63 tff(15880,plain,
% 13.56/9.63 (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15879, 1288, 15741])).
% 13.56/9.63 tff(15881,plain,
% 13.56/9.63 (((~![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)))),
% 13.56/9.63 inference(rewrite,[status(thm)],[])).
% 13.56/9.63 tff(15882,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15883,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1))),
% 13.56/9.63 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 13.56/9.63 tff(15884,plain,
% 13.56/9.63 (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15883, 1288, 15749])).
% 13.56/9.63 tff(15885,plain,
% 13.56/9.63 (((~![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)))),
% 13.56/9.63 inference(rewrite,[status(thm)],[])).
% 13.56/9.63 tff(15886,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b001(bitIndex1)))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15887,plain,
% 13.56/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b001(bitIndex1))),
% 13.56/9.63 inference(modus_ponens,[status(thm)],[15886, 15885])).
% 13.56/9.63 tff(15888,plain,
% 13.56/9.63 (v130(constB109, bitIndex1) <=> b001(bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15887, 1288, 15822])).
% 13.56/9.63 tff(15889,plain,
% 13.56/9.63 ((~(v130(constB109, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB109, bitIndex1)) | b001(bitIndex1)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15890,plain,
% 13.56/9.63 ((~(v130(constB109, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB109, bitIndex1))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15889, 1548])).
% 13.56/9.63 tff(15891,plain,
% 13.56/9.63 (~v130(constB109, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15890, 15888])).
% 13.56/9.63 tff(15892,plain,
% 13.56/9.63 ((~(v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1))) | (~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15893,plain,
% 13.56/9.63 (~v127(constB109, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15892, 15891, 15884])).
% 13.56/9.63 tff(15894,plain,
% 13.56/9.63 ((~(v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1))) | (~v129(constB110, bitIndex1)) | v127(constB109, bitIndex1)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15895,plain,
% 13.56/9.63 (~v129(constB110, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15894, 15893, 15880])).
% 13.56/9.63 tff(15896,plain,
% 13.56/9.63 ((~(v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15897,plain,
% 13.56/9.63 (~v90(constB110, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15896, 15895, 15876])).
% 13.56/9.63 tff(15898,plain,
% 13.56/9.63 ((~(v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1))) | (~v90(constB111, bitIndex1)) | v90(constB110, bitIndex1)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15899,plain,
% 13.56/9.63 (~v90(constB111, bitIndex1)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15898, 15897, 15872])).
% 13.56/9.63 tff(15900,plain,
% 13.56/9.63 ((~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))) | v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15901,plain,
% 13.56/9.63 (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15900, 15899, 15868, 15837])).
% 13.56/9.63 tff(15902,plain,
% 13.56/9.63 ((~(v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))) | v120(constB111) | (v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15903,plain,
% 13.56/9.63 (v120(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15902, 15901, 3365])).
% 13.56/9.63 tff(15904,plain,
% 13.56/9.63 ((v119(constB111) | v120(constB111)) | (~v120(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15905,plain,
% 13.56/9.63 (v119(constB111) | v120(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15904, 15903])).
% 13.56/9.63 tff(15906,plain,
% 13.56/9.63 ((~(v118(constB111) <=> (v119(constB111) | v120(constB111)))) | v118(constB111) | (~(v119(constB111) | v120(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15907,plain,
% 13.56/9.63 (v118(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15906, 15905, 3358])).
% 13.56/9.63 tff(15908,plain,
% 13.56/9.63 ((v118(constB111) | v121(constB111)) | (~v118(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15909,plain,
% 13.56/9.63 (v118(constB111) | v121(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15908, 15907])).
% 13.56/9.63 tff(15910,plain,
% 13.56/9.63 ((~(v117(constB111) <=> (v118(constB111) | v121(constB111)))) | v117(constB111) | (~(v118(constB111) | v121(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15911,plain,
% 13.56/9.63 (v117(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15910, 15909, 3356])).
% 13.56/9.63 tff(15912,plain,
% 13.56/9.63 ((v117(constB111) | v122(constB111)) | (~v117(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15913,plain,
% 13.56/9.63 (v117(constB111) | v122(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15912, 15911])).
% 13.56/9.63 tff(15914,plain,
% 13.56/9.63 ((~(v116(constB111) <=> (v117(constB111) | v122(constB111)))) | v116(constB111) | (~(v117(constB111) | v122(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15915,plain,
% 13.56/9.63 (v116(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15914, 15913, 3354])).
% 13.56/9.63 tff(15916,plain,
% 13.56/9.63 ((v116(constB111) | v123(constB111)) | (~v116(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15917,plain,
% 13.56/9.63 (v116(constB111) | v123(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15916, 15915])).
% 13.56/9.63 tff(15918,plain,
% 13.56/9.63 ((~(v115(constB111) <=> (v116(constB111) | v123(constB111)))) | v115(constB111) | (~(v116(constB111) | v123(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15919,plain,
% 13.56/9.63 (v115(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15918, 15917, 3352])).
% 13.56/9.63 tff(15920,plain,
% 13.56/9.63 ((v115(constB111) | v124(constB111)) | (~v115(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15921,plain,
% 13.56/9.63 (v115(constB111) | v124(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15920, 15919])).
% 13.56/9.63 tff(15922,plain,
% 13.56/9.63 ((~(v114(constB111) <=> (v115(constB111) | v124(constB111)))) | v114(constB111) | (~(v115(constB111) | v124(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15923,plain,
% 13.56/9.63 (v114(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15922, 15921, 3350])).
% 13.56/9.63 tff(15924,plain,
% 13.56/9.63 ((v114(constB111) | v125(constB111)) | (~v114(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15925,plain,
% 13.56/9.63 (v114(constB111) | v125(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15924, 15923])).
% 13.56/9.63 tff(15926,plain,
% 13.56/9.63 ((~(v113(constB111) <=> (v114(constB111) | v125(constB111)))) | v113(constB111) | (~(v114(constB111) | v125(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15927,plain,
% 13.56/9.63 (v113(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15926, 15925, 3348])).
% 13.56/9.63 tff(15928,plain,
% 13.56/9.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB111)) <=> v111(constB111))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15929,plain,
% 13.56/9.63 ((~v126(constB111)) <=> v111(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15928, 1345])).
% 13.56/9.63 tff(15930,plain,
% 13.56/9.63 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB111) <=> v26(constB111))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15931,plain,
% 13.56/9.63 (v111(constB111) <=> v26(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15930, 1357])).
% 13.56/9.63 tff(15932,plain,
% 13.56/9.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15933,plain,
% 13.56/9.63 (~v26(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15932, 1369])).
% 13.56/9.63 tff(15934,plain,
% 13.56/9.63 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111)) | v26(constB111)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15935,plain,
% 13.56/9.63 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15934, 15933])).
% 13.56/9.63 tff(15936,plain,
% 13.56/9.63 (~v111(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15935, 15931])).
% 13.56/9.63 tff(15937,plain,
% 13.56/9.63 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111) | v111(constB111)),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15938,plain,
% 13.56/9.63 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15937, 15936])).
% 13.56/9.63 tff(15939,plain,
% 13.56/9.63 (v126(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15938, 15929])).
% 13.56/9.63 tff(15940,plain,
% 13.56/9.63 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111)) | (~v126(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15941,plain,
% 13.56/9.63 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15940, 15939])).
% 13.56/9.63 tff(15942,plain,
% 13.56/9.63 (~((~v113(constB111)) | (~v126(constB111)))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15941, 15927])).
% 13.56/9.63 tff(15943,plain,
% 13.56/9.63 ((~(v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))) | v112(constB111) | ((~v113(constB111)) | (~v126(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15944,plain,
% 13.56/9.63 (v112(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15943, 15942, 3346])).
% 13.56/9.63 tff(15945,plain,
% 13.56/9.63 ((v111(constB111) | v112(constB111)) | (~v112(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15946,plain,
% 13.56/9.63 (v111(constB111) | v112(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15945, 15944])).
% 13.56/9.63 tff(15947,plain,
% 13.56/9.63 ((~(v108(constB111) <=> (v111(constB111) | v112(constB111)))) | v108(constB111) | (~(v111(constB111) | v112(constB111)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15948,plain,
% 13.56/9.63 (v108(constB111)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15947, 15946, 3344])).
% 13.56/9.63 tff(15949,plain,
% 13.56/9.63 ((~(v110(constB112) <=> v108(constB111))) | v110(constB112) | (~v108(constB111))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15950,plain,
% 13.56/9.63 (v110(constB112)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15949, 15948, 3342])).
% 13.56/9.63 tff(15951,plain,
% 13.56/9.63 ((~((~v101(constB112)) | (~v110(constB112)))) | (~v101(constB112)) | (~v110(constB112))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15952,plain,
% 13.56/9.63 (~((~v101(constB112)) | (~v110(constB112)))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15951, 15950, 3338])).
% 13.56/9.63 tff(15953,plain,
% 13.56/9.63 ((~(v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))) | v100(constB112) | ((~v101(constB112)) | (~v110(constB112)))),
% 13.56/9.63 inference(tautology,[status(thm)],[])).
% 13.56/9.63 tff(15954,plain,
% 13.56/9.63 (v100(constB112)),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15953, 15952, 3307])).
% 13.56/9.63 tff(15955,plain,
% 13.56/9.63 (((~![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))))),
% 13.56/9.63 inference(rewrite,[status(thm)],[])).
% 13.56/9.63 tff(15956,plain,
% 13.56/9.63 ((~![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))))),
% 13.56/9.63 inference(quant_inst,[status(thm)],[])).
% 13.56/9.63 tff(15957,plain,
% 13.56/9.63 ((~![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)))),
% 13.56/9.63 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 13.56/9.63 tff(15958,plain,
% 13.56/9.63 ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 13.56/9.63 inference(unit_resolution,[status(thm)],[15957, 1405])).
% 13.56/9.64 tff(15959,plain,
% 13.56/9.64 (![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15958, 15954])).
% 13.56/9.64 tff(15960,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15961,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15962,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 13.56/9.64 tff(15963,plain,
% 13.56/9.64 (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15962, 1275, 15959])).
% 13.56/9.64 tff(15964,plain,
% 13.56/9.64 (((~![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))))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15965,plain,
% 13.56/9.64 ((~![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))))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15966,plain,
% 13.56/9.64 ((~![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)))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 13.56/9.64 tff(15967,plain,
% 13.56/9.64 (![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15966, 3303, 1427])).
% 13.56/9.64 tff(15968,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15969,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15970,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 13.56/9.64 tff(15971,plain,
% 13.56/9.64 (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15970, 1275, 15967])).
% 13.56/9.64 tff(15972,plain,
% 13.56/9.64 (((~![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))))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15973,plain,
% 13.56/9.64 ((~![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))))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15974,plain,
% 13.56/9.64 ((~![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)))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 13.56/9.64 tff(15975,plain,
% 13.56/9.64 (![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15974, 1448, 15936])).
% 13.56/9.64 tff(15976,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15977,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15978,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 13.56/9.64 tff(15979,plain,
% 13.56/9.64 (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15978, 1275, 15975])).
% 13.56/9.64 tff(15980,plain,
% 13.56/9.64 (((~![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))))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15981,plain,
% 13.56/9.64 ((~![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))))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15982,plain,
% 13.56/9.64 ((~![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)))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 13.56/9.64 tff(15983,plain,
% 13.56/9.64 ((~v120(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15982, 1652])).
% 13.56/9.64 tff(15984,plain,
% 13.56/9.64 (![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15983, 15903])).
% 13.56/9.64 tff(15985,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(15986,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b010(bitIndex0)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(15987,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b010(bitIndex0))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[15986, 15985])).
% 13.56/9.64 tff(15988,plain,
% 13.56/9.64 (v130(constB111, bitIndex0) <=> b010(bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15987, 1275, 15984])).
% 13.56/9.64 tff(15989,plain,
% 13.56/9.64 ((~(v130(constB111, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB111, bitIndex0)) | b010(bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(15990,plain,
% 13.56/9.64 ((~(v130(constB111, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB111, bitIndex0))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15989, 1698])).
% 13.56/9.64 tff(15991,plain,
% 13.56/9.64 (~v130(constB111, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15990, 15988])).
% 13.56/9.64 tff(15992,plain,
% 13.56/9.64 ((~(v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0))) | (~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(15993,plain,
% 13.56/9.64 (~v127(constB111, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15992, 15991, 15979])).
% 13.56/9.64 tff(15994,plain,
% 13.56/9.64 ((~(v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0))) | (~v129(constB112, bitIndex0)) | v127(constB111, bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(15995,plain,
% 13.56/9.64 (~v129(constB112, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15994, 15993, 15971])).
% 13.56/9.64 tff(15996,plain,
% 13.56/9.64 ((~(v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(15997,plain,
% 13.56/9.64 (~v90(constB112, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15996, 15995, 15963])).
% 13.56/9.64 tff(15998,plain,
% 13.56/9.64 ((~(v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0))) | (~v90(constB113, bitIndex0)) | v90(constB112, bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(15999,plain,
% 13.56/9.64 (~v90(constB113, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[15998, 15997, 3300])).
% 13.56/9.64 tff(16000,plain,
% 13.56/9.64 ((~(v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0))) | (~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(16001,plain,
% 13.56/9.64 (~v88(constB113, bitIndex0)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16000, 15999, 3268])).
% 13.56/9.64 tff(16002,plain,
% 13.56/9.64 ((v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | (~v88(constB113, bitIndex0))) | v88(constB113, bitIndex0)),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(16003,plain,
% 13.56/9.64 (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | (~v88(constB113, bitIndex0))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16002, 16001])).
% 13.56/9.64 tff(16004,plain,
% 13.56/9.64 ((~(v141(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | (~v88(constB113, bitIndex0)))))) | (~v141(constB113)) | (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | (~v88(constB113, bitIndex0))))),
% 13.56/9.64 inference(tautology,[status(thm)],[])).
% 13.56/9.64 tff(16005,plain,
% 13.56/9.64 (~v141(constB113)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16004, 16003, 3264])).
% 13.56/9.64 tff(16006,plain,
% 13.56/9.64 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB113) <=> (v139(constB113) | v140(constB113)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16007,plain,
% 13.56/9.64 (v170(constB113) <=> (v139(constB113) | v140(constB113))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16006, 2216])).
% 13.56/9.64 tff(16008,plain,
% 13.56/9.64 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2))))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16009,plain,
% 13.56/9.64 (v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)))),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16008, 2231])).
% 13.56/9.64 tff(16010,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(16011,plain,
% 13.56/9.64 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16012,plain,
% 13.56/9.64 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 13.56/9.64 tff(16013,plain,
% 13.56/9.64 (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16012, 1288, 576])).
% 13.56/9.64 tff(16014,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(16015,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16016,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 13.56/9.64 tff(16017,plain,
% 13.56/9.64 (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16016, 1288, 3296])).
% 13.56/9.64 tff(16018,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(16019,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16020,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 13.56/9.64 tff(16021,plain,
% 13.56/9.64 (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16020, 1288, 15959])).
% 13.56/9.64 tff(16022,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(16023,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16024,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1))),
% 13.56/9.64 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 13.56/9.64 tff(16025,plain,
% 13.56/9.64 (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)),
% 13.56/9.64 inference(unit_resolution,[status(thm)],[16024, 1288, 15967])).
% 13.56/9.64 tff(16026,plain,
% 13.56/9.64 (((~![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)))),
% 13.56/9.64 inference(rewrite,[status(thm)],[])).
% 13.56/9.64 tff(16027,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))),
% 13.56/9.64 inference(quant_inst,[status(thm)],[])).
% 13.56/9.64 tff(16028,plain,
% 13.56/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 13.56/9.65 tff(16029,plain,
% 13.56/9.65 (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16028, 1288, 15975])).
% 13.56/9.65 tff(16030,plain,
% 13.56/9.65 (((~![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)))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16031,plain,
% 13.56/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b010(bitIndex1)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16032,plain,
% 13.56/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b010(bitIndex1))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16031, 16030])).
% 13.56/9.65 tff(16033,plain,
% 13.56/9.65 (v130(constB111, bitIndex1) <=> b010(bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16032, 1288, 15984])).
% 13.56/9.65 tff(16034,plain,
% 13.56/9.65 ((~(v130(constB111, bitIndex1) <=> b010(bitIndex1))) | v130(constB111, bitIndex1) | (~b010(bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16035,plain,
% 13.56/9.65 ((~(v130(constB111, bitIndex1) <=> b010(bitIndex1))) | v130(constB111, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16034, 1732])).
% 13.56/9.65 tff(16036,plain,
% 13.56/9.65 (v130(constB111, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16035, 16033])).
% 13.56/9.65 tff(16037,plain,
% 13.56/9.65 ((~(v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1))) | v127(constB111, bitIndex1) | (~v130(constB111, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16038,plain,
% 13.56/9.65 (v127(constB111, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16037, 16036, 16029])).
% 13.56/9.65 tff(16039,plain,
% 13.56/9.65 ((~(v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1))) | v129(constB112, bitIndex1) | (~v127(constB111, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16040,plain,
% 13.56/9.65 (v129(constB112, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16039, 16038, 16025])).
% 13.56/9.65 tff(16041,plain,
% 13.56/9.65 ((~(v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16042,plain,
% 13.56/9.65 (v90(constB112, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16041, 16040, 16021])).
% 13.56/9.65 tff(16043,plain,
% 13.56/9.65 ((~(v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1))) | v90(constB113, bitIndex1) | (~v90(constB112, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16044,plain,
% 13.56/9.65 (v90(constB113, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16043, 16042, 16017])).
% 13.56/9.65 tff(16045,plain,
% 13.56/9.65 ((~(v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1))) | v88(constB113, bitIndex1) | (~v90(constB113, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16046,plain,
% 13.56/9.65 (v88(constB113, bitIndex1)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16045, 16044, 16013])).
% 13.56/9.65 tff(16047,plain,
% 13.56/9.65 ((v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)) | (~v88(constB113, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16048,plain,
% 13.56/9.65 (v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16047, 16046])).
% 13.56/9.65 tff(16049,plain,
% 13.56/9.65 ((~(v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2))))) | (~v139(constB113)) | (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16050,plain,
% 13.56/9.65 (~v139(constB113)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16049, 16048, 16009])).
% 13.56/9.65 tff(16051,plain,
% 13.56/9.65 (((~![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))))))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16052,plain,
% 13.56/9.65 ((v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0))))) <=> (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16053,plain,
% 13.56/9.65 (((~![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))))))),
% 13.56/9.65 inference(monotonicity,[status(thm)],[16052])).
% 13.56/9.65 tff(16054,plain,
% 13.56/9.65 (((~![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))))))),
% 13.56/9.65 inference(transitivity,[status(thm)],[16053, 16051])).
% 13.56/9.65 tff(16055,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0)))))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16056,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16055, 16054])).
% 13.56/9.65 tff(16057,plain,
% 13.56/9.65 (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16056, 2250])).
% 13.56/9.65 tff(16058,plain,
% 13.56/9.65 ((v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))) | (~v88(constB113, bitIndex1))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16059,plain,
% 13.56/9.65 (v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16058, 16046])).
% 13.56/9.65 tff(16060,plain,
% 13.56/9.65 ((~(v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))) | (~v140(constB113)) | (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16061,plain,
% 13.56/9.65 (~v140(constB113)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16060, 16059, 16057])).
% 13.56/9.65 tff(16062,plain,
% 13.56/9.65 ((~(v139(constB113) | v140(constB113))) | v139(constB113) | v140(constB113)),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16063,plain,
% 13.56/9.65 (~(v139(constB113) | v140(constB113))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16062, 16061, 16050])).
% 13.56/9.65 tff(16064,plain,
% 13.56/9.65 ((~(v170(constB113) <=> (v139(constB113) | v140(constB113)))) | (~v170(constB113)) | (v139(constB113) | v140(constB113))),
% 13.56/9.65 inference(tautology,[status(thm)],[])).
% 13.56/9.65 tff(16065,plain,
% 13.56/9.65 (~v170(constB113)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16064, 16063, 16007])).
% 13.56/9.65 tff(16066,plain,
% 13.56/9.65 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB113) | v170(constB113) | (~v169(constB113)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB113) | v170(constB113) | (~v169(constB113)))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16067,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB113) | v170(constB113) | (~v169(constB113)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16068,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB113) | v170(constB113) | (~v169(constB113))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 13.56/9.65 tff(16069,plain,
% 13.56/9.65 (v141(constB113) | v170(constB113) | (~v169(constB113))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16068, 2278])).
% 13.56/9.65 tff(16070,plain,
% 13.56/9.65 (~v169(constB113)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16069, 16065, 16005])).
% 13.56/9.65 tff(16071,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB113) <=> (v145(constB113) | v166(constB113)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16072,plain,
% 13.56/9.65 (v165(constB113) <=> (v145(constB113) | v166(constB113))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16071, 2293])).
% 13.56/9.65 tff(16073,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB113) <=> (v142(constB113) | v167(constB113)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16074,plain,
% 13.56/9.65 (v166(constB113) <=> (v142(constB113) | v167(constB113))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16073, 2804])).
% 13.56/9.65 tff(16075,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB113) <=> (v143(constB113) | v144(constB113)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16076,plain,
% 13.56/9.65 (v142(constB113) <=> (v143(constB113) | v144(constB113))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16075, 2813])).
% 13.56/9.65 tff(16077,plain,
% 13.56/9.65 (^[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))))))),
% 13.56/9.65 inference(bind,[status(th)],[])).
% 13.56/9.65 tff(16078,plain,
% 13.56/9.65 (![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)))))),
% 13.56/9.65 inference(quant_intro,[status(thm)],[16077])).
% 13.56/9.65 tff(16079,plain,
% 13.56/9.65 (^[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))))))),
% 13.56/9.65 inference(bind,[status(th)],[])).
% 13.56/9.65 tff(16080,plain,
% 13.56/9.65 (![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)))))),
% 13.56/9.65 inference(quant_intro,[status(thm)],[16079])).
% 13.56/9.65 tff(16081,plain,
% 13.56/9.65 (![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))))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16082,plain,
% 13.56/9.65 (^[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)))))),
% 13.56/9.65 inference(bind,[status(th)],[])).
% 13.56/9.65 tff(16083,plain,
% 13.56/9.65 (![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))))),
% 13.56/9.65 inference(quant_intro,[status(thm)],[16082])).
% 13.56/9.65 tff(16084,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')).
% 13.56/9.65 tff(16085,plain,
% 13.56/9.65 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 13.56/9.65 tff(16086,plain,
% 13.56/9.65 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16085, 16081])).
% 13.56/9.65 tff(16087,plain,(
% 13.56/9.65 ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.56/9.65 inference(skolemize,[status(sab)],[16086])).
% 13.56/9.65 tff(16088,plain,
% 13.56/9.65 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16087, 16080])).
% 13.56/9.65 tff(16089,plain,
% 13.56/9.65 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16088, 16078])).
% 13.56/9.65 tff(16090,plain,
% 13.56/9.65 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16091,plain,
% 13.56/9.65 (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1))))),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16090, 16089])).
% 13.56/9.65 tff(16092,plain,
% 13.56/9.65 (((~![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)))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16093,plain,
% 13.56/9.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16094,plain,
% 13.56/9.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16093, 16092])).
% 13.56/9.65 tff(16095,plain,
% 13.56/9.65 (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16094, 579, 576])).
% 13.56/9.65 tff(16096,plain,
% 13.56/9.65 (((~![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)))),
% 13.56/9.65 inference(rewrite,[status(thm)],[])).
% 13.56/9.65 tff(16097,plain,
% 13.56/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))),
% 13.56/9.65 inference(quant_inst,[status(thm)],[])).
% 13.56/9.65 tff(16098,plain,
% 13.56/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2))),
% 13.56/9.65 inference(modus_ponens,[status(thm)],[16097, 16096])).
% 13.56/9.65 tff(16099,plain,
% 13.56/9.65 (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)),
% 13.56/9.65 inference(unit_resolution,[status(thm)],[16098, 579, 3296])).
% 13.56/9.65 tff(16100,plain,
% 13.56/9.65 (((~![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)))),
% 13.56/9.66 inference(rewrite,[status(thm)],[])).
% 13.56/9.66 tff(16101,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))),
% 13.56/9.66 inference(quant_inst,[status(thm)],[])).
% 13.56/9.66 tff(16102,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2))),
% 13.56/9.66 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 13.56/9.66 tff(16103,plain,
% 13.56/9.66 (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16102, 579, 15959])).
% 13.56/9.66 tff(16104,plain,
% 13.56/9.66 (((~![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)))),
% 13.56/9.66 inference(rewrite,[status(thm)],[])).
% 13.56/9.66 tff(16105,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))),
% 13.56/9.66 inference(quant_inst,[status(thm)],[])).
% 13.56/9.66 tff(16106,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2))),
% 13.56/9.66 inference(modus_ponens,[status(thm)],[16105, 16104])).
% 13.56/9.66 tff(16107,plain,
% 13.56/9.66 (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16106, 579, 15967])).
% 13.56/9.66 tff(16108,plain,
% 13.56/9.66 (((~![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)))),
% 13.56/9.66 inference(rewrite,[status(thm)],[])).
% 13.56/9.66 tff(16109,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))),
% 13.56/9.66 inference(quant_inst,[status(thm)],[])).
% 13.56/9.66 tff(16110,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2))),
% 13.56/9.66 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 13.56/9.66 tff(16111,plain,
% 13.56/9.66 (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16110, 579, 15975])).
% 13.56/9.66 tff(16112,plain,
% 13.56/9.66 (((~![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)))),
% 13.56/9.66 inference(rewrite,[status(thm)],[])).
% 13.56/9.66 tff(16113,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b010(bitIndex2)))),
% 13.56/9.66 inference(quant_inst,[status(thm)],[])).
% 13.56/9.66 tff(16114,plain,
% 13.56/9.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b010(bitIndex2))),
% 13.56/9.66 inference(modus_ponens,[status(thm)],[16113, 16112])).
% 13.56/9.66 tff(16115,plain,
% 13.56/9.66 (v130(constB111, bitIndex2) <=> b010(bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16114, 579, 15984])).
% 13.56/9.66 tff(16116,plain,
% 13.56/9.66 ((~(v130(constB111, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB111, bitIndex2)) | b010(bitIndex2)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16117,plain,
% 13.56/9.66 ((~(v130(constB111, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB111, bitIndex2))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16116, 1664])).
% 13.56/9.66 tff(16118,plain,
% 13.56/9.66 (~v130(constB111, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16117, 16115])).
% 13.56/9.66 tff(16119,plain,
% 13.56/9.66 ((~(v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2))) | (~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16120,plain,
% 13.56/9.66 (~v127(constB111, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16119, 16118, 16111])).
% 13.56/9.66 tff(16121,plain,
% 13.56/9.66 ((~(v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2))) | (~v129(constB112, bitIndex2)) | v127(constB111, bitIndex2)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16122,plain,
% 13.56/9.66 (~v129(constB112, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16121, 16120, 16107])).
% 13.56/9.66 tff(16123,plain,
% 13.56/9.66 ((~(v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16124,plain,
% 13.56/9.66 (~v90(constB112, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16123, 16122, 16103])).
% 13.56/9.66 tff(16125,plain,
% 13.56/9.66 ((~(v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2))) | (~v90(constB113, bitIndex2)) | v90(constB112, bitIndex2)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16126,plain,
% 13.56/9.66 (~v90(constB113, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16125, 16124, 16099])).
% 13.56/9.66 tff(16127,plain,
% 13.56/9.66 ((~(v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2))) | (~v88(constB113, bitIndex2)) | v90(constB113, bitIndex2)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16128,plain,
% 13.56/9.66 (~v88(constB113, bitIndex2)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16127, 16126, 16095])).
% 13.56/9.66 tff(16129,plain,
% 13.56/9.66 ((~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))) | v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16130,plain,
% 13.56/9.66 (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16129, 16046, 16001, 16128])).
% 13.56/9.66 tff(16131,plain,
% 13.56/9.66 ((~(v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))) | v143(constB113) | (v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16132,plain,
% 13.56/9.66 (v143(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16131, 16130, 16091])).
% 13.56/9.66 tff(16133,plain,
% 13.56/9.66 ((v143(constB113) | v144(constB113)) | (~v143(constB113))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16134,plain,
% 13.56/9.66 (v143(constB113) | v144(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16133, 16132])).
% 13.56/9.66 tff(16135,plain,
% 13.56/9.66 ((~(v142(constB113) <=> (v143(constB113) | v144(constB113)))) | v142(constB113) | (~(v143(constB113) | v144(constB113)))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16136,plain,
% 13.56/9.66 (v142(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16135, 16134, 16076])).
% 13.56/9.66 tff(16137,plain,
% 13.56/9.66 ((v142(constB113) | v167(constB113)) | (~v142(constB113))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16138,plain,
% 13.56/9.66 (v142(constB113) | v167(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16137, 16136])).
% 13.56/9.66 tff(16139,plain,
% 13.56/9.66 ((~(v166(constB113) <=> (v142(constB113) | v167(constB113)))) | v166(constB113) | (~(v142(constB113) | v167(constB113)))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16140,plain,
% 13.56/9.66 (v166(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16139, 16138, 16074])).
% 13.56/9.66 tff(16141,plain,
% 13.56/9.66 ((v145(constB113) | v166(constB113)) | (~v166(constB113))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16142,plain,
% 13.56/9.66 (v145(constB113) | v166(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16141, 16140])).
% 13.56/9.66 tff(16143,plain,
% 13.56/9.66 ((~(v165(constB113) <=> (v145(constB113) | v166(constB113)))) | v165(constB113) | (~(v145(constB113) | v166(constB113)))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16144,plain,
% 13.56/9.66 (v165(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16143, 16142, 16072])).
% 13.56/9.66 tff(16145,plain,
% 13.56/9.66 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB113)) | (v162(constB113) <=> v169(constB113)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB113)) | (v162(constB113) <=> v169(constB113)))),
% 13.56/9.66 inference(rewrite,[status(thm)],[])).
% 13.56/9.66 tff(16146,plain,
% 13.56/9.66 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB113)) | (v162(constB113) <=> v169(constB113)))),
% 13.56/9.66 inference(quant_inst,[status(thm)],[])).
% 13.56/9.66 tff(16147,plain,
% 13.56/9.66 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB113)) | (v162(constB113) <=> v169(constB113))),
% 13.56/9.66 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 13.56/9.66 tff(16148,plain,
% 13.56/9.66 ((~v165(constB113)) | (v162(constB113) <=> v169(constB113))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16147, 2426])).
% 13.56/9.66 tff(16149,plain,
% 13.56/9.66 (v162(constB113) <=> v169(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16148, 16144])).
% 13.56/9.66 tff(16150,plain,
% 13.56/9.66 ((~(v162(constB113) <=> v169(constB113))) | (~v162(constB113)) | v169(constB113)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16151,plain,
% 13.56/9.66 (~v162(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16150, 16149, 16070])).
% 13.56/9.66 tff(16152,plain,
% 13.56/9.66 ((~(v160(constB113) <=> v162(constB113))) | (~v160(constB113)) | v162(constB113)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16153,plain,
% 13.56/9.66 ((~(v160(constB113) <=> v162(constB113))) | (~v160(constB113))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16152, 16151])).
% 13.56/9.66 tff(16154,plain,
% 13.56/9.66 (~v160(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16153, 3262])).
% 13.56/9.66 tff(16155,plain,
% 13.56/9.66 (((~v184(constB113)) | (~v160(constB113))) | v160(constB113)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16156,plain,
% 13.56/9.66 ((~v184(constB113)) | (~v160(constB113))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16155, 16154])).
% 13.56/9.66 tff(16157,plain,
% 13.56/9.66 ((~(v187(constB113) <=> (~((~v184(constB113)) | (~v160(constB113)))))) | (~v187(constB113)) | (~((~v184(constB113)) | (~v160(constB113))))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16158,plain,
% 13.56/9.66 (~v187(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16157, 16156, 3260])).
% 13.56/9.66 tff(16159,plain,
% 13.56/9.66 (((~v186(constB113)) | (~v187(constB113))) | v187(constB113)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16160,plain,
% 13.56/9.66 ((~v186(constB113)) | (~v187(constB113))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16159, 16158])).
% 13.56/9.66 tff(16161,plain,
% 13.56/9.66 ((~(v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113)))))) | (~v185(constB113)) | (~((~v186(constB113)) | (~v187(constB113))))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16162,plain,
% 13.56/9.66 (~v185(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16161, 16160, 3258])).
% 13.56/9.66 tff(16163,plain,
% 13.56/9.66 ((~(v181(constB113) | v185(constB113))) | v181(constB113) | v185(constB113)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16164,plain,
% 13.56/9.66 (~(v181(constB113) | v185(constB113))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16163, 16162, 3256])).
% 13.56/9.66 tff(16165,plain,
% 13.56/9.66 ((~(v178(constB113) <=> (v181(constB113) | v185(constB113)))) | (~v178(constB113)) | (v181(constB113) | v185(constB113))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16166,plain,
% 13.56/9.66 (~v178(constB113)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16165, 16164, 3180])).
% 13.56/9.66 tff(16167,plain,
% 13.56/9.66 ((~(v180(constB114) <=> v178(constB113))) | (~v180(constB114)) | v178(constB113)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16168,plain,
% 13.56/9.66 (~v180(constB114)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16167, 16166, 3178])).
% 13.56/9.66 tff(16169,plain,
% 13.56/9.66 ((~(v158(constB114) <=> v180(constB114))) | (~v158(constB114)) | v180(constB114)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16170,plain,
% 13.56/9.66 (~v158(constB114)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16169, 16168, 3171])).
% 13.56/9.66 tff(16171,plain,
% 13.56/9.66 (((~v158(constB114)) | (~v182(constB114))) | v158(constB114)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16172,plain,
% 13.56/9.66 ((~v158(constB114)) | (~v182(constB114))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16171, 16170])).
% 13.56/9.66 tff(16173,plain,
% 13.56/9.66 ((~(v181(constB114) <=> (~((~v158(constB114)) | (~v182(constB114)))))) | (~v181(constB114)) | (~((~v158(constB114)) | (~v182(constB114))))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16174,plain,
% 13.56/9.66 (~v181(constB114)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16173, 16172, 3169])).
% 13.56/9.66 tff(16175,plain,
% 13.56/9.66 ((~(v181(constB114) | v185(constB114))) | v181(constB114) | v185(constB114)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16176,plain,
% 13.56/9.66 (~(v181(constB114) | v185(constB114))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16175, 16174, 3162])).
% 13.56/9.66 tff(16177,plain,
% 13.56/9.66 ((~(v178(constB114) <=> (v181(constB114) | v185(constB114)))) | (~v178(constB114)) | (v181(constB114) | v185(constB114))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16178,plain,
% 13.56/9.66 (~v178(constB114)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16177, 16176, 3134])).
% 13.56/9.66 tff(16179,plain,
% 13.56/9.66 ((~(v180(constB115) <=> v178(constB114))) | (~v180(constB115)) | v178(constB114)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16180,plain,
% 13.56/9.66 (~v180(constB115)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16179, 16178, 3132])).
% 13.56/9.66 tff(16181,plain,
% 13.56/9.66 ((~(v158(constB115) <=> v180(constB115))) | (~v158(constB115)) | v180(constB115)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16182,plain,
% 13.56/9.66 (~v158(constB115)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16181, 16180, 3125])).
% 13.56/9.66 tff(16183,plain,
% 13.56/9.66 (((~v158(constB115)) | (~v199(constB115))) | v158(constB115)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16184,plain,
% 13.56/9.66 ((~v158(constB115)) | (~v199(constB115))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16183, 16182])).
% 13.56/9.66 tff(16185,plain,
% 13.56/9.66 ((~(v198(constB115) <=> (~((~v158(constB115)) | (~v199(constB115)))))) | (~v198(constB115)) | (~((~v158(constB115)) | (~v199(constB115))))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16186,plain,
% 13.56/9.66 (~v198(constB115)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16185, 16184, 3123])).
% 13.56/9.66 tff(16187,plain,
% 13.56/9.66 ((~(v197(constB115) | v198(constB115))) | v197(constB115) | v198(constB115)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16188,plain,
% 13.56/9.66 (~(v197(constB115) | v198(constB115))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16187, 16186, 3121])).
% 13.56/9.66 tff(16189,plain,
% 13.56/9.66 ((~(v194(constB115) <=> (v197(constB115) | v198(constB115)))) | (~v194(constB115)) | (v197(constB115) | v198(constB115))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16190,plain,
% 13.56/9.66 (~v194(constB115)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16189, 16188, 3050])).
% 13.56/9.66 tff(16191,plain,
% 13.56/9.66 ((~(v196(constB116) <=> v194(constB115))) | (~v196(constB116)) | v194(constB115)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16192,plain,
% 13.56/9.66 (~v196(constB116)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16191, 16190, 3048])).
% 13.56/9.66 tff(16193,plain,
% 13.56/9.66 ((~(v191(constB116) <=> v196(constB116))) | (~v191(constB116)) | v196(constB116)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16194,plain,
% 13.56/9.66 (~v191(constB116)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16193, 16192, 3041])).
% 13.56/9.66 tff(16195,plain,
% 13.56/9.66 (((~v182(constB116)) | (~v191(constB116))) | v191(constB116)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16196,plain,
% 13.56/9.66 ((~v182(constB116)) | (~v191(constB116))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16195, 16194])).
% 13.56/9.66 tff(16197,plain,
% 13.56/9.66 ((~(v197(constB116) <=> (~((~v182(constB116)) | (~v191(constB116)))))) | (~v197(constB116)) | (~((~v182(constB116)) | (~v191(constB116))))),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16198,plain,
% 13.56/9.66 (~v197(constB116)),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16197, 16196, 3039])).
% 13.56/9.66 tff(16199,plain,
% 13.56/9.66 ((~(v197(constB116) | v198(constB116))) | v197(constB116) | v198(constB116)),
% 13.56/9.66 inference(tautology,[status(thm)],[])).
% 13.56/9.66 tff(16200,plain,
% 13.56/9.66 (~(v197(constB116) | v198(constB116))),
% 13.56/9.66 inference(unit_resolution,[status(thm)],[16199, 16198, 3037])).
% 13.56/9.66 tff(16201,plain,
% 13.56/9.66 ((~(v194(constB116) <=> (v197(constB116) | v198(constB116)))) | (~v194(constB116)) | (v197(constB116) | v198(constB116))),
% 13.56/9.67 inference(tautology,[status(thm)],[])).
% 13.56/9.67 tff(16202,plain,
% 13.56/9.67 (~v194(constB116)),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16201, 16200, 3003])).
% 13.56/9.67 tff(16203,plain,
% 13.56/9.67 ((~(v196(constB117) <=> v194(constB116))) | (~v196(constB117)) | v194(constB116)),
% 13.56/9.67 inference(tautology,[status(thm)],[])).
% 13.56/9.67 tff(16204,plain,
% 13.56/9.67 (~v196(constB117)),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16203, 16202, 3001])).
% 13.56/9.67 tff(16205,plain,
% 13.56/9.67 ((~(v191(constB117) <=> v196(constB117))) | (~v191(constB117)) | v196(constB117)),
% 13.56/9.67 inference(tautology,[status(thm)],[])).
% 13.56/9.67 tff(16206,plain,
% 13.56/9.67 (~v191(constB117)),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16205, 16204, 2994])).
% 13.56/9.67 tff(16207,plain,
% 13.56/9.67 (((~v191(constB117)) | (~v206(constB117))) | v191(constB117)),
% 13.56/9.67 inference(tautology,[status(thm)],[])).
% 13.56/9.67 tff(16208,plain,
% 13.56/9.67 ((~v191(constB117)) | (~v206(constB117))),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16207, 16206])).
% 13.56/9.67 tff(16209,plain,
% 13.56/9.67 ((~(v209(constB117) <=> (~((~v191(constB117)) | (~v206(constB117)))))) | (~v209(constB117)) | (~((~v191(constB117)) | (~v206(constB117))))),
% 13.56/9.67 inference(tautology,[status(thm)],[])).
% 13.56/9.67 tff(16210,plain,
% 13.56/9.67 (~v209(constB117)),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16209, 16208, 2992])).
% 13.56/9.67 tff(16211,plain,
% 13.56/9.67 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117))))))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16212,plain,
% 13.56/9.67 ((v205(constB117) <=> (~((~v206(constB117)) | (~v158(constB117))))) <=> (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117)))))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16213,plain,
% 13.56/9.67 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v206(constB117)) | (~v158(constB117)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117))))))),
% 13.56/9.67 inference(monotonicity,[status(thm)],[16212])).
% 13.56/9.67 tff(16214,plain,
% 13.56/9.67 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v206(constB117)) | (~v158(constB117)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117))))))),
% 13.56/9.67 inference(transitivity,[status(thm)],[16213, 16211])).
% 13.56/9.67 tff(16215,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v206(constB117)) | (~v158(constB117)))))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16216,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117)))))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16215, 16214])).
% 13.56/9.67 tff(16217,plain,
% 13.56/9.67 (v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117))))),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16216, 2502])).
% 13.56/9.67 tff(16218,plain,
% 13.56/9.67 (^[VarCurr: $i] : refl((v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr))))) <=> (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr))))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16219,plain,
% 13.56/9.67 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr))))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16218])).
% 13.56/9.67 tff(16220,plain,
% 13.56/9.67 (^[VarCurr: $i] : rewrite((v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr))) <=> (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr))))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16221,plain,
% 13.56/9.67 (![VarCurr: $i] : (v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16220])).
% 13.56/9.67 tff(16222,plain,
% 13.56/9.67 (![VarCurr: $i] : (v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr)))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16223,axiom,(![VarCurr: $i] : (v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_55')).
% 13.56/9.67 tff(16224,plain,
% 13.56/9.67 (![VarCurr: $i] : (v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr)))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 13.56/9.67 tff(16225,plain,(
% 13.56/9.67 ![VarCurr: $i] : (v206(VarCurr) <=> (v186(VarCurr) & v207(VarCurr)))),
% 13.56/9.67 inference(skolemize,[status(sab)],[16224])).
% 13.56/9.67 tff(16226,plain,
% 13.56/9.67 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16225, 16221])).
% 13.56/9.67 tff(16227,plain,
% 13.56/9.67 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16226, 16219])).
% 13.56/9.67 tff(16228,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB117) <=> (~((~v186(constB117)) | (~v207(constB117)))))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16229,plain,
% 13.56/9.67 (v206(constB117) <=> (~((~v186(constB117)) | (~v207(constB117))))),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16228, 16227])).
% 13.56/9.67 tff(16230,plain,
% 13.56/9.67 (^[VarCurr: $i] : refl((v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr))))) <=> (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr))))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16231,plain,
% 13.56/9.67 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr))))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16230])).
% 13.56/9.67 tff(16232,plain,
% 13.56/9.67 (^[VarCurr: $i] : rewrite((v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr))) <=> (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr))))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16233,plain,
% 13.56/9.67 (![VarCurr: $i] : (v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16232])).
% 13.56/9.67 tff(16234,plain,
% 13.56/9.67 (![VarCurr: $i] : (v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr)))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16235,axiom,(![VarCurr: $i] : (v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_54')).
% 13.56/9.67 tff(16236,plain,
% 13.56/9.67 (![VarCurr: $i] : (v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr)))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16235, 16234])).
% 13.56/9.67 tff(16237,plain,(
% 13.56/9.67 ![VarCurr: $i] : (v207(VarCurr) <=> (v208(VarCurr) & v184(VarCurr)))),
% 13.56/9.67 inference(skolemize,[status(sab)],[16236])).
% 13.56/9.67 tff(16238,plain,
% 13.56/9.67 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16237, 16233])).
% 13.56/9.67 tff(16239,plain,
% 13.56/9.67 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16238, 16231])).
% 13.56/9.67 tff(16240,plain,
% 13.56/9.67 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117))))))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16241,plain,
% 13.56/9.67 ((v207(constB117) <=> (~((~v208(constB117)) | (~v184(constB117))))) <=> (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117)))))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16242,plain,
% 13.56/9.67 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v208(constB117)) | (~v184(constB117)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117))))))),
% 13.56/9.67 inference(monotonicity,[status(thm)],[16241])).
% 13.56/9.67 tff(16243,plain,
% 13.56/9.67 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v208(constB117)) | (~v184(constB117)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117))))))),
% 13.56/9.67 inference(transitivity,[status(thm)],[16242, 16240])).
% 13.56/9.67 tff(16244,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v208(constB117)) | (~v184(constB117)))))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16245,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117)))))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16244, 16243])).
% 13.56/9.67 tff(16246,plain,
% 13.56/9.67 (v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117))))),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16245, 16239])).
% 13.56/9.67 tff(16247,plain,
% 13.56/9.67 (^[VarCurr: $i] : refl(((~v208(VarCurr)) <=> v84(VarCurr)) <=> ((~v208(VarCurr)) <=> v84(VarCurr)))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16248,plain,
% 13.56/9.67 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16247])).
% 13.56/9.67 tff(16249,plain,
% 13.56/9.67 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16250,axiom,(![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_16')).
% 13.56/9.67 tff(16251,plain,
% 13.56/9.67 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 13.56/9.67 tff(16252,plain,(
% 13.56/9.67 ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 13.56/9.67 inference(skolemize,[status(sab)],[16251])).
% 13.56/9.67 tff(16253,plain,
% 13.56/9.67 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16252, 16248])).
% 13.56/9.67 tff(16254,plain,
% 13.56/9.67 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(constB117)) <=> v84(constB117))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16255,plain,
% 13.56/9.67 ((~v208(constB117)) <=> v84(constB117)),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16254, 16253])).
% 13.56/9.67 tff(16256,plain,
% 13.56/9.67 (^[VarCurr: $i] : refl((v84(VarCurr) <=> v86(VarCurr)) <=> (v84(VarCurr) <=> v86(VarCurr)))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16257,plain,
% 13.56/9.67 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16256])).
% 13.56/9.67 tff(16258,plain,
% 13.56/9.67 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16259,axiom,(![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9')).
% 13.56/9.67 tff(16260,plain,
% 13.56/9.67 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 13.56/9.67 tff(16261,plain,(
% 13.56/9.67 ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 13.56/9.67 inference(skolemize,[status(sab)],[16260])).
% 13.56/9.67 tff(16262,plain,
% 13.56/9.67 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16261, 16257])).
% 13.56/9.67 tff(16263,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB117) <=> v86(constB117))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16264,plain,
% 13.56/9.67 (v84(constB117) <=> v86(constB117)),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16263, 16262])).
% 13.56/9.67 tff(16265,plain,
% 13.56/9.67 (^[VarCurr: $i] : refl((v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16266,plain,
% 13.56/9.67 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16265])).
% 13.56/9.67 tff(16267,plain,
% 13.56/9.67 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16268,axiom,(![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33')).
% 13.56/9.67 tff(16269,plain,
% 13.56/9.67 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 13.56/9.67 tff(16270,plain,(
% 13.56/9.67 ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 13.56/9.67 inference(skolemize,[status(sab)],[16269])).
% 13.56/9.67 tff(16271,plain,
% 13.56/9.67 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 13.56/9.67 inference(modus_ponens,[status(thm)],[16270, 16266])).
% 13.56/9.67 tff(16272,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB117) <=> (v136(constB117) | v145(constB117)))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16273,plain,
% 13.56/9.67 (v135(constB117) <=> (v136(constB117) | v145(constB117))),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16272, 16271])).
% 13.56/9.67 tff(16274,plain,
% 13.56/9.67 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB117) <=> (v146(constB117) | v147(constB117)))),
% 13.56/9.67 inference(quant_inst,[status(thm)],[])).
% 13.56/9.67 tff(16275,plain,
% 13.56/9.67 (v145(constB117) <=> (v146(constB117) | v147(constB117))),
% 13.56/9.67 inference(unit_resolution,[status(thm)],[16274, 2302])).
% 13.56/9.67 tff(16276,plain,
% 13.56/9.67 (^[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))))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16277,plain,
% 13.56/9.67 (![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)))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16276])).
% 13.56/9.67 tff(16278,plain,
% 13.56/9.67 (^[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))))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16279,plain,
% 13.56/9.67 (![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)))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16278])).
% 13.56/9.67 tff(16280,plain,
% 13.56/9.67 (![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))))),
% 13.56/9.67 inference(rewrite,[status(thm)],[])).
% 13.56/9.67 tff(16281,plain,
% 13.56/9.67 (^[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)))))),
% 13.56/9.67 inference(bind,[status(th)],[])).
% 13.56/9.67 tff(16282,plain,
% 13.56/9.67 (![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))))),
% 13.56/9.67 inference(quant_intro,[status(thm)],[16281])).
% 13.56/9.67 tff(16283,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')).
% 13.64/9.67 tff(16284,plain,
% 13.64/9.67 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 13.64/9.67 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 13.64/9.67 tff(16285,plain,
% 13.64/9.67 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 13.64/9.67 inference(modus_ponens,[status(thm)],[16284, 16280])).
% 13.64/9.67 tff(16286,plain,(
% 13.64/9.67 ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 13.64/9.67 inference(skolemize,[status(sab)],[16285])).
% 13.64/9.67 tff(16287,plain,
% 13.64/9.67 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 13.64/9.67 inference(modus_ponens,[status(thm)],[16286, 16279])).
% 13.64/9.67 tff(16288,plain,
% 13.64/9.67 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 13.64/9.67 inference(modus_ponens,[status(thm)],[16287, 16277])).
% 13.64/9.67 tff(16289,plain,
% 13.64/9.67 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1)))))),
% 13.64/9.67 inference(rewrite,[status(thm)],[])).
% 13.64/9.67 tff(16290,plain,
% 13.64/9.67 ((v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2))))) <=> (v146(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))))),
% 13.64/9.67 inference(rewrite,[status(thm)],[])).
% 13.64/9.67 tff(16291,plain,
% 13.64/9.67 (((~![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, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1)))))),
% 13.64/9.67 inference(monotonicity,[status(thm)],[16290])).
% 13.64/9.67 tff(16292,plain,
% 13.64/9.67 (((~![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, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1)))))),
% 13.64/9.67 inference(transitivity,[status(thm)],[16291, 16289])).
% 13.64/9.67 tff(16293,plain,
% 13.64/9.67 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))),
% 13.64/9.67 inference(quant_inst,[status(thm)],[])).
% 13.64/9.67 tff(16294,plain,
% 13.64/9.67 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))))),
% 13.64/9.67 inference(modus_ponens,[status(thm)],[16293, 16292])).
% 13.64/9.67 tff(16295,plain,
% 13.64/9.67 (v146(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1)))),
% 13.64/9.67 inference(unit_resolution,[status(thm)],[16294, 16288])).
% 13.64/9.67 tff(16296,plain,
% 13.64/9.67 (((~![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)))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16297,plain,
% 13.64/9.68 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16298,plain,
% 13.64/9.68 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 13.64/9.68 tff(16299,plain,
% 13.64/9.68 (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16298, 579, 576])).
% 13.64/9.68 tff(16300,plain,
% 13.64/9.68 (((~![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))))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16301,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16302,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 13.64/9.68 tff(16303,plain,
% 13.64/9.68 (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16302, 2997, 596])).
% 13.64/9.68 tff(16304,plain,
% 13.64/9.68 (((~![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))))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16305,plain,
% 13.64/9.68 (((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16306,plain,
% 13.64/9.68 (((~![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)))))))),
% 13.64/9.68 inference(monotonicity,[status(thm)],[16305])).
% 13.64/9.68 tff(16307,plain,
% 13.64/9.68 (((~![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))))))),
% 13.64/9.68 inference(transitivity,[status(thm)],[16306, 16304])).
% 13.64/9.68 tff(16308,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16309,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16308, 16307])).
% 13.64/9.68 tff(16310,plain,
% 13.64/9.68 (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16309, 2997, 616])).
% 13.64/9.68 tff(16311,plain,
% 13.64/9.68 ((~v1(constB117)) <=> (~v1(constB117))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16312,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117')).
% 13.64/9.68 tff(16313,plain,
% 13.64/9.68 (~v1(constB117)),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16312, 16311])).
% 13.64/9.68 tff(16314,plain,
% 13.64/9.68 (((~v1(constB117)) | (~v102(constB117))) | v1(constB117)),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16315,plain,
% 13.64/9.68 ((~v1(constB117)) | (~v102(constB117))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16314, 16313])).
% 13.64/9.68 tff(16316,plain,
% 13.64/9.68 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117)) | (~((~v1(constB117)) | (~v102(constB117))))),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16317,plain,
% 13.64/9.68 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16316, 16315])).
% 13.64/9.68 tff(16318,plain,
% 13.64/9.68 (~v101(constB117)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16317, 16310])).
% 13.64/9.68 tff(16319,plain,
% 13.64/9.68 (((~v101(constB117)) | (~v110(constB117))) | v101(constB117)),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16320,plain,
% 13.64/9.68 ((~v101(constB117)) | (~v110(constB117))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16319, 16318])).
% 13.64/9.68 tff(16321,plain,
% 13.64/9.68 ((~(v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))) | (~v100(constB117)) | (~((~v101(constB117)) | (~v110(constB117))))),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16322,plain,
% 13.64/9.68 (~v100(constB117)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16321, 16320, 16303])).
% 13.64/9.68 tff(16323,plain,
% 13.64/9.68 (((~![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))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16324,plain,
% 13.64/9.68 ((~![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))))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16325,plain,
% 13.64/9.68 ((~![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)))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 13.64/9.68 tff(16326,plain,
% 13.64/9.68 (v100(constB117) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16325, 2997, 645])).
% 13.64/9.68 tff(16327,plain,
% 13.64/9.68 (![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16326, 16322])).
% 13.64/9.68 tff(16328,plain,
% 13.64/9.68 (((~![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)))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16329,plain,
% 13.64/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16330,plain,
% 13.64/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 13.64/9.68 tff(16331,plain,
% 13.64/9.68 (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16330, 579, 16327])).
% 13.64/9.68 tff(16332,plain,
% 13.64/9.68 (((~![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))))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16333,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16334,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16333, 16332])).
% 13.64/9.68 tff(16335,plain,
% 13.64/9.68 (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16334, 3044, 596])).
% 13.64/9.68 tff(16336,plain,
% 13.64/9.68 (((~![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))))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16337,plain,
% 13.64/9.68 (((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16338,plain,
% 13.64/9.68 (((~![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)))))))),
% 13.64/9.68 inference(monotonicity,[status(thm)],[16337])).
% 13.64/9.68 tff(16339,plain,
% 13.64/9.68 (((~![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))))))),
% 13.64/9.68 inference(transitivity,[status(thm)],[16338, 16336])).
% 13.64/9.68 tff(16340,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16341,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16340, 16339])).
% 13.64/9.68 tff(16342,plain,
% 13.64/9.68 (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16341, 3044, 616])).
% 13.64/9.68 tff(16343,plain,
% 13.64/9.68 (((~![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)))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16344,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16345,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16344, 16343])).
% 13.64/9.68 tff(16346,plain,
% 13.64/9.68 ((~v102(constB116)) <=> v104(constB116)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16345, 3044, 678])).
% 13.64/9.68 tff(16347,plain,
% 13.64/9.68 (((~![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)))),
% 13.64/9.68 inference(rewrite,[status(thm)],[])).
% 13.64/9.68 tff(16348,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 13.64/9.68 inference(quant_inst,[status(thm)],[])).
% 13.64/9.68 tff(16349,plain,
% 13.64/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115))),
% 13.64/9.68 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 13.64/9.68 tff(16350,plain,
% 13.64/9.68 (v104(constB116) <=> v1(constB115)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16349, 3044, 692])).
% 13.64/9.68 tff(16351,plain,
% 13.64/9.68 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116)) | v1(constB115)),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16352,plain,
% 13.64/9.68 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16351, 3103])).
% 13.64/9.68 tff(16353,plain,
% 13.64/9.68 (~v104(constB116)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16352, 16350])).
% 13.64/9.68 tff(16354,plain,
% 13.64/9.68 ((~((~v102(constB116)) <=> v104(constB116))) | v102(constB116) | v104(constB116)),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16355,plain,
% 13.64/9.68 (v102(constB116)),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16354, 16353, 16346])).
% 13.64/9.68 tff(16356,plain,
% 13.64/9.68 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v1(constB116)) | (~v102(constB116))),
% 13.64/9.68 inference(tautology,[status(thm)],[])).
% 13.64/9.68 tff(16357,plain,
% 13.64/9.68 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v102(constB116))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16356, 3016])).
% 13.64/9.68 tff(16358,plain,
% 13.64/9.68 (~((~v1(constB116)) | (~v102(constB116)))),
% 13.64/9.68 inference(unit_resolution,[status(thm)],[16357, 16355])).
% 13.64/9.69 tff(16359,plain,
% 13.64/9.69 ((~(v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))) | v101(constB116) | ((~v1(constB116)) | (~v102(constB116)))),
% 13.64/9.69 inference(tautology,[status(thm)],[])).
% 13.64/9.69 tff(16360,plain,
% 13.64/9.69 (v101(constB116)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16359, 16358, 16342])).
% 13.64/9.69 tff(16361,plain,
% 13.64/9.69 (((~![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)))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16362,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16363,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16362, 16361])).
% 13.64/9.69 tff(16364,plain,
% 13.64/9.69 (v110(constB116) <=> v108(constB115)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16363, 3044, 722])).
% 13.64/9.69 tff(16365,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB115) <=> (v111(constB115) | v112(constB115)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16366,plain,
% 13.64/9.69 (v108(constB115) <=> (v111(constB115) | v112(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16365, 733])).
% 13.64/9.69 tff(16367,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16368,plain,
% 13.64/9.69 (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115))))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16367, 745])).
% 13.64/9.69 tff(16369,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB115) <=> (v114(constB115) | v125(constB115)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16370,plain,
% 13.64/9.69 (v113(constB115) <=> (v114(constB115) | v125(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16369, 754])).
% 13.64/9.69 tff(16371,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB115) <=> (v115(constB115) | v124(constB115)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16372,plain,
% 13.64/9.69 (v114(constB115) <=> (v115(constB115) | v124(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16371, 763])).
% 13.64/9.69 tff(16373,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB115) <=> (v116(constB115) | v123(constB115)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16374,plain,
% 13.64/9.69 (v115(constB115) <=> (v116(constB115) | v123(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16373, 772])).
% 13.64/9.69 tff(16375,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB115) <=> (v117(constB115) | v122(constB115)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16376,plain,
% 13.64/9.69 (v116(constB115) <=> (v117(constB115) | v122(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16375, 885])).
% 13.64/9.69 tff(16377,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16378,plain,
% 13.64/9.69 ((v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1))))) <=> (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16379,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(monotonicity,[status(thm)],[16378])).
% 13.64/9.69 tff(16380,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(transitivity,[status(thm)],[16379, 16377])).
% 13.64/9.69 tff(16381,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16382,plain,
% 13.64/9.69 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 13.64/9.69 tff(16383,plain,
% 13.64/9.69 (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16382, 900])).
% 13.64/9.69 tff(16384,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16385,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16386,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 13.64/9.69 tff(16387,plain,
% 13.64/9.69 (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16386, 3128, 596])).
% 13.64/9.69 tff(16388,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16389,plain,
% 13.64/9.69 (((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16390,plain,
% 13.64/9.69 (((~![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)))))))),
% 13.64/9.69 inference(monotonicity,[status(thm)],[16389])).
% 13.64/9.69 tff(16391,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(transitivity,[status(thm)],[16390, 16388])).
% 13.64/9.69 tff(16392,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16393,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 13.64/9.69 tff(16394,plain,
% 13.64/9.69 (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16393, 3128, 616])).
% 13.64/9.69 tff(16395,plain,
% 13.64/9.69 (((~v1(constB115)) | (~v102(constB115))) | v1(constB115)),
% 13.64/9.69 inference(tautology,[status(thm)],[])).
% 13.64/9.69 tff(16396,plain,
% 13.64/9.69 ((~v1(constB115)) | (~v102(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16395, 3103])).
% 13.64/9.69 tff(16397,plain,
% 13.64/9.69 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115)) | (~((~v1(constB115)) | (~v102(constB115))))),
% 13.64/9.69 inference(tautology,[status(thm)],[])).
% 13.64/9.69 tff(16398,plain,
% 13.64/9.69 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16397, 16396])).
% 13.64/9.69 tff(16399,plain,
% 13.64/9.69 (~v101(constB115)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16398, 16394])).
% 13.64/9.69 tff(16400,plain,
% 13.64/9.69 (((~v101(constB115)) | (~v110(constB115))) | v101(constB115)),
% 13.64/9.69 inference(tautology,[status(thm)],[])).
% 13.64/9.69 tff(16401,plain,
% 13.64/9.69 ((~v101(constB115)) | (~v110(constB115))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16400, 16399])).
% 13.64/9.69 tff(16402,plain,
% 13.64/9.69 ((~(v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))) | (~v100(constB115)) | (~((~v101(constB115)) | (~v110(constB115))))),
% 13.64/9.69 inference(tautology,[status(thm)],[])).
% 13.64/9.69 tff(16403,plain,
% 13.64/9.69 (~v100(constB115)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16402, 16401, 16387])).
% 13.64/9.69 tff(16404,plain,
% 13.64/9.69 (((~![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))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16405,plain,
% 13.64/9.69 ((~![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))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16406,plain,
% 13.64/9.69 ((~![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)))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16405, 16404])).
% 13.64/9.69 tff(16407,plain,
% 13.64/9.69 (v100(constB115) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16406, 3128, 645])).
% 13.64/9.69 tff(16408,plain,
% 13.64/9.69 (![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16407, 16403])).
% 13.64/9.69 tff(16409,plain,
% 13.64/9.69 (((~![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)))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16410,plain,
% 13.64/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16411,plain,
% 13.64/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16410, 16409])).
% 13.64/9.69 tff(16412,plain,
% 13.64/9.69 (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16411, 579, 16408])).
% 13.64/9.69 tff(16413,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16414,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16415,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 13.64/9.69 tff(16416,plain,
% 13.64/9.69 (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16415, 3174, 596])).
% 13.64/9.69 tff(16417,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16418,plain,
% 13.64/9.69 (((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16419,plain,
% 13.64/9.69 (((~![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)))))))),
% 13.64/9.69 inference(monotonicity,[status(thm)],[16418])).
% 13.64/9.69 tff(16420,plain,
% 13.64/9.69 (((~![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))))))),
% 13.64/9.69 inference(transitivity,[status(thm)],[16419, 16417])).
% 13.64/9.69 tff(16421,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16422,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 13.64/9.69 tff(16423,plain,
% 13.64/9.69 (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16422, 3174, 616])).
% 13.64/9.69 tff(16424,plain,
% 13.64/9.69 (((~![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)))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16425,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16426,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16425, 16424])).
% 13.64/9.69 tff(16427,plain,
% 13.64/9.69 ((~v102(constB114)) <=> v104(constB114)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16426, 3174, 678])).
% 13.64/9.69 tff(16428,plain,
% 13.64/9.69 (((~![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)))),
% 13.64/9.69 inference(rewrite,[status(thm)],[])).
% 13.64/9.69 tff(16429,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 13.64/9.69 inference(quant_inst,[status(thm)],[])).
% 13.64/9.69 tff(16430,plain,
% 13.64/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113))),
% 13.64/9.69 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 13.64/9.69 tff(16431,plain,
% 13.64/9.69 (v104(constB114) <=> v1(constB113)),
% 13.64/9.69 inference(unit_resolution,[status(thm)],[16430, 3174, 692])).
% 13.64/9.69 tff(16432,plain,
% 13.64/9.70 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114)) | v1(constB113)),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16433,plain,
% 13.64/9.70 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16432, 3238])).
% 13.64/9.70 tff(16434,plain,
% 13.64/9.70 (~v104(constB114)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16433, 16431])).
% 13.64/9.70 tff(16435,plain,
% 13.64/9.70 ((~((~v102(constB114)) <=> v104(constB114))) | v102(constB114) | v104(constB114)),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16436,plain,
% 13.64/9.70 (v102(constB114)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16435, 16434, 16427])).
% 13.64/9.70 tff(16437,plain,
% 13.64/9.70 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v1(constB114)) | (~v102(constB114))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16438,plain,
% 13.64/9.70 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v102(constB114))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16437, 3145])).
% 13.64/9.70 tff(16439,plain,
% 13.64/9.70 (~((~v1(constB114)) | (~v102(constB114)))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16438, 16436])).
% 13.64/9.70 tff(16440,plain,
% 13.64/9.70 ((~(v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))) | v101(constB114) | ((~v1(constB114)) | (~v102(constB114)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16441,plain,
% 13.64/9.70 (v101(constB114)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16440, 16439, 16423])).
% 13.64/9.70 tff(16442,plain,
% 13.64/9.70 (((~![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)))),
% 13.64/9.70 inference(rewrite,[status(thm)],[])).
% 13.64/9.70 tff(16443,plain,
% 13.64/9.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16444,plain,
% 13.64/9.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113))),
% 13.64/9.70 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 13.64/9.70 tff(16445,plain,
% 13.64/9.70 (v110(constB114) <=> v108(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16444, 3174, 722])).
% 13.64/9.70 tff(16446,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB113) <=> (v111(constB113) | v112(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16447,plain,
% 13.64/9.70 (v108(constB113) <=> (v111(constB113) | v112(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16446, 733])).
% 13.64/9.70 tff(16448,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16449,plain,
% 13.64/9.70 (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113))))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16448, 745])).
% 13.64/9.70 tff(16450,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB113) <=> (v114(constB113) | v125(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16451,plain,
% 13.64/9.70 (v113(constB113) <=> (v114(constB113) | v125(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16450, 754])).
% 13.64/9.70 tff(16452,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB113) <=> (v115(constB113) | v124(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16453,plain,
% 13.64/9.70 (v114(constB113) <=> (v115(constB113) | v124(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16452, 763])).
% 13.64/9.70 tff(16454,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB113) <=> (v116(constB113) | v123(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16455,plain,
% 13.64/9.70 (v115(constB113) <=> (v116(constB113) | v123(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16454, 772])).
% 13.64/9.70 tff(16456,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB113) <=> (v117(constB113) | v122(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16457,plain,
% 13.64/9.70 (v116(constB113) <=> (v117(constB113) | v122(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16456, 885])).
% 13.64/9.70 tff(16458,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB113) <=> (v118(constB113) | v121(constB113)))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16459,plain,
% 13.64/9.70 (v117(constB113) <=> (v118(constB113) | v121(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16458, 1000])).
% 13.64/9.70 tff(16460,plain,
% 13.64/9.70 (((~![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)))))),
% 13.64/9.70 inference(rewrite,[status(thm)],[])).
% 13.64/9.70 tff(16461,plain,
% 13.64/9.70 ((v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1))))) <=> (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))),
% 13.64/9.70 inference(rewrite,[status(thm)],[])).
% 13.64/9.70 tff(16462,plain,
% 13.64/9.70 (((~![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)))))),
% 13.64/9.70 inference(monotonicity,[status(thm)],[16461])).
% 13.64/9.70 tff(16463,plain,
% 13.64/9.70 (((~![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)))))),
% 13.64/9.70 inference(transitivity,[status(thm)],[16462, 16460])).
% 13.64/9.70 tff(16464,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16465,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))),
% 13.64/9.70 inference(modus_ponens,[status(thm)],[16464, 16463])).
% 13.64/9.70 tff(16466,plain,
% 13.64/9.70 (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16465, 1015])).
% 13.64/9.70 tff(16467,plain,
% 13.64/9.70 ((~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16468,plain,
% 13.64/9.70 (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16467, 16044, 15999, 16126])).
% 13.64/9.70 tff(16469,plain,
% 13.64/9.70 ((~(v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))) | v121(constB113) | (v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16470,plain,
% 13.64/9.70 (v121(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16469, 16468, 16466])).
% 13.64/9.70 tff(16471,plain,
% 13.64/9.70 ((v118(constB113) | v121(constB113)) | (~v121(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16472,plain,
% 13.64/9.70 (v118(constB113) | v121(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16471, 16470])).
% 13.64/9.70 tff(16473,plain,
% 13.64/9.70 ((~(v117(constB113) <=> (v118(constB113) | v121(constB113)))) | v117(constB113) | (~(v118(constB113) | v121(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16474,plain,
% 13.64/9.70 (v117(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16473, 16472, 16459])).
% 13.64/9.70 tff(16475,plain,
% 13.64/9.70 ((v117(constB113) | v122(constB113)) | (~v117(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16476,plain,
% 13.64/9.70 (v117(constB113) | v122(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16475, 16474])).
% 13.64/9.70 tff(16477,plain,
% 13.64/9.70 ((~(v116(constB113) <=> (v117(constB113) | v122(constB113)))) | v116(constB113) | (~(v117(constB113) | v122(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16478,plain,
% 13.64/9.70 (v116(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16477, 16476, 16457])).
% 13.64/9.70 tff(16479,plain,
% 13.64/9.70 ((v116(constB113) | v123(constB113)) | (~v116(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16480,plain,
% 13.64/9.70 (v116(constB113) | v123(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16479, 16478])).
% 13.64/9.70 tff(16481,plain,
% 13.64/9.70 ((~(v115(constB113) <=> (v116(constB113) | v123(constB113)))) | v115(constB113) | (~(v116(constB113) | v123(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16482,plain,
% 13.64/9.70 (v115(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16481, 16480, 16455])).
% 13.64/9.70 tff(16483,plain,
% 13.64/9.70 ((v115(constB113) | v124(constB113)) | (~v115(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16484,plain,
% 13.64/9.70 (v115(constB113) | v124(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16483, 16482])).
% 13.64/9.70 tff(16485,plain,
% 13.64/9.70 ((~(v114(constB113) <=> (v115(constB113) | v124(constB113)))) | v114(constB113) | (~(v115(constB113) | v124(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16486,plain,
% 13.64/9.70 (v114(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16485, 16484, 16453])).
% 13.64/9.70 tff(16487,plain,
% 13.64/9.70 ((v114(constB113) | v125(constB113)) | (~v114(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16488,plain,
% 13.64/9.70 (v114(constB113) | v125(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16487, 16486])).
% 13.64/9.70 tff(16489,plain,
% 13.64/9.70 ((~(v113(constB113) <=> (v114(constB113) | v125(constB113)))) | v113(constB113) | (~(v114(constB113) | v125(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16490,plain,
% 13.64/9.70 (v113(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16489, 16488, 16451])).
% 13.64/9.70 tff(16491,plain,
% 13.64/9.70 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB113)) <=> v111(constB113))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16492,plain,
% 13.64/9.70 ((~v126(constB113)) <=> v111(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16491, 1345])).
% 13.64/9.70 tff(16493,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB113) <=> v26(constB113))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16494,plain,
% 13.64/9.70 (v111(constB113) <=> v26(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16493, 1357])).
% 13.64/9.70 tff(16495,plain,
% 13.64/9.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16496,plain,
% 13.64/9.70 (~v26(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16495, 1369])).
% 13.64/9.70 tff(16497,plain,
% 13.64/9.70 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113)) | v26(constB113)),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16498,plain,
% 13.64/9.70 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16497, 16496])).
% 13.64/9.70 tff(16499,plain,
% 13.64/9.70 (~v111(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16498, 16494])).
% 13.64/9.70 tff(16500,plain,
% 13.64/9.70 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113) | v111(constB113)),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16501,plain,
% 13.64/9.70 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16500, 16499])).
% 13.64/9.70 tff(16502,plain,
% 13.64/9.70 (v126(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16501, 16492])).
% 13.64/9.70 tff(16503,plain,
% 13.64/9.70 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113)) | (~v126(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16504,plain,
% 13.64/9.70 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16503, 16502])).
% 13.64/9.70 tff(16505,plain,
% 13.64/9.70 (~((~v113(constB113)) | (~v126(constB113)))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16504, 16490])).
% 13.64/9.70 tff(16506,plain,
% 13.64/9.70 ((~(v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))) | v112(constB113) | ((~v113(constB113)) | (~v126(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16507,plain,
% 13.64/9.70 (v112(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16506, 16505, 16449])).
% 13.64/9.70 tff(16508,plain,
% 13.64/9.70 ((v111(constB113) | v112(constB113)) | (~v112(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16509,plain,
% 13.64/9.70 (v111(constB113) | v112(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16508, 16507])).
% 13.64/9.70 tff(16510,plain,
% 13.64/9.70 ((~(v108(constB113) <=> (v111(constB113) | v112(constB113)))) | v108(constB113) | (~(v111(constB113) | v112(constB113)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16511,plain,
% 13.64/9.70 (v108(constB113)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16510, 16509, 16447])).
% 13.64/9.70 tff(16512,plain,
% 13.64/9.70 ((~(v110(constB114) <=> v108(constB113))) | v110(constB114) | (~v108(constB113))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16513,plain,
% 13.64/9.70 (v110(constB114)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16512, 16511, 16445])).
% 13.64/9.70 tff(16514,plain,
% 13.64/9.70 ((~((~v101(constB114)) | (~v110(constB114)))) | (~v101(constB114)) | (~v110(constB114))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16515,plain,
% 13.64/9.70 (~((~v101(constB114)) | (~v110(constB114)))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16514, 16513, 16441])).
% 13.64/9.70 tff(16516,plain,
% 13.64/9.70 ((~(v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))) | v100(constB114) | ((~v101(constB114)) | (~v110(constB114)))),
% 13.64/9.70 inference(tautology,[status(thm)],[])).
% 13.64/9.70 tff(16517,plain,
% 13.64/9.70 (v100(constB114)),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16516, 16515, 16416])).
% 13.64/9.70 tff(16518,plain,
% 13.64/9.70 (((~![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))))),
% 13.64/9.70 inference(rewrite,[status(thm)],[])).
% 13.64/9.70 tff(16519,plain,
% 13.64/9.70 ((~![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))))),
% 13.64/9.70 inference(quant_inst,[status(thm)],[])).
% 13.64/9.70 tff(16520,plain,
% 13.64/9.70 ((~![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)))),
% 13.64/9.70 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 13.64/9.70 tff(16521,plain,
% 13.64/9.70 ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16520, 1405])).
% 13.64/9.70 tff(16522,plain,
% 13.64/9.70 (![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 13.64/9.70 inference(unit_resolution,[status(thm)],[16521, 16517])).
% 13.64/9.70 tff(16523,plain,
% 13.64/9.70 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16524,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16525,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16524, 16523])).
% 13.64/9.71 tff(16526,plain,
% 13.64/9.71 (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16525, 579, 16522])).
% 13.64/9.71 tff(16527,plain,
% 13.64/9.71 (((~![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))))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16528,plain,
% 13.64/9.71 ((~![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))))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16529,plain,
% 13.64/9.71 ((~![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)))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16528, 16527])).
% 13.64/9.71 tff(16530,plain,
% 13.64/9.71 (![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16529, 3174, 1427])).
% 13.64/9.71 tff(16531,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16532,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16533,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 13.64/9.71 tff(16534,plain,
% 13.64/9.71 (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16533, 579, 16530])).
% 13.64/9.71 tff(16535,plain,
% 13.64/9.71 (((~![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))))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16536,plain,
% 13.64/9.71 ((~![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))))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16537,plain,
% 13.64/9.71 ((~![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)))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 13.64/9.71 tff(16538,plain,
% 13.64/9.71 (![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16537, 1448, 16499])).
% 13.64/9.71 tff(16539,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16540,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16541,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 13.64/9.71 tff(16542,plain,
% 13.64/9.71 (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16541, 579, 16538])).
% 13.64/9.71 tff(16543,plain,
% 13.64/9.71 (((~![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))))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16544,plain,
% 13.64/9.71 ((~![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))))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16545,plain,
% 13.64/9.71 ((~![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)))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 13.64/9.71 tff(16546,plain,
% 13.64/9.71 ((~v121(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16545, 1832])).
% 13.64/9.71 tff(16547,plain,
% 13.64/9.71 (![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16546, 16470])).
% 13.64/9.71 tff(16548,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16549,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b011(bitIndex2)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16550,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b011(bitIndex2))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 13.64/9.71 tff(16551,plain,
% 13.64/9.71 (v130(constB113, bitIndex2) <=> b011(bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16550, 579, 16547])).
% 13.64/9.71 tff(16552,plain,
% 13.64/9.71 ((~(v130(constB113, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB113, bitIndex2)) | b011(bitIndex2)),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16553,plain,
% 13.64/9.71 ((~(v130(constB113, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB113, bitIndex2))),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16552, 1844])).
% 13.64/9.71 tff(16554,plain,
% 13.64/9.71 (~v130(constB113, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16553, 16551])).
% 13.64/9.71 tff(16555,plain,
% 13.64/9.71 ((~(v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2))) | (~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16556,plain,
% 13.64/9.71 (~v127(constB113, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16555, 16554, 16542])).
% 13.64/9.71 tff(16557,plain,
% 13.64/9.71 ((~(v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2))) | (~v129(constB114, bitIndex2)) | v127(constB113, bitIndex2)),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16558,plain,
% 13.64/9.71 (~v129(constB114, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16557, 16556, 16534])).
% 13.64/9.71 tff(16559,plain,
% 13.64/9.71 ((~(v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2)),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16560,plain,
% 13.64/9.71 (~v90(constB114, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16559, 16558, 16526])).
% 13.64/9.71 tff(16561,plain,
% 13.64/9.71 ((~(v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2))) | (~v90(constB115, bitIndex2)) | v90(constB114, bitIndex2)),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16562,plain,
% 13.64/9.71 (~v90(constB115, bitIndex2)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16561, 16560, 16412])).
% 13.64/9.71 tff(16563,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16564,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16565,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16564, 16563])).
% 13.64/9.71 tff(16566,plain,
% 13.64/9.71 (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16565, 1275, 16408])).
% 13.64/9.71 tff(16567,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16568,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16569,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 13.64/9.71 tff(16570,plain,
% 13.64/9.71 (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16569, 1275, 16522])).
% 13.64/9.71 tff(16571,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16572,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16573,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 13.64/9.71 tff(16574,plain,
% 13.64/9.71 (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16573, 1275, 16530])).
% 13.64/9.71 tff(16575,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16576,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16577,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 13.64/9.71 tff(16578,plain,
% 13.64/9.71 (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16577, 1275, 16538])).
% 13.64/9.71 tff(16579,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.71 inference(rewrite,[status(thm)],[])).
% 13.64/9.71 tff(16580,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b011(bitIndex0)))),
% 13.64/9.71 inference(quant_inst,[status(thm)],[])).
% 13.64/9.71 tff(16581,plain,
% 13.64/9.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b011(bitIndex0))),
% 13.64/9.71 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 13.64/9.71 tff(16582,plain,
% 13.64/9.71 (v130(constB113, bitIndex0) <=> b011(bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16581, 1275, 16547])).
% 13.64/9.71 tff(16583,plain,
% 13.64/9.71 ((~(v130(constB113, bitIndex0) <=> b011(bitIndex0))) | v130(constB113, bitIndex0) | (~b011(bitIndex0))),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16584,plain,
% 13.64/9.71 ((~(v130(constB113, bitIndex0) <=> b011(bitIndex0))) | v130(constB113, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16583, 1878])).
% 13.64/9.71 tff(16585,plain,
% 13.64/9.71 (v130(constB113, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16584, 16582])).
% 13.64/9.71 tff(16586,plain,
% 13.64/9.71 ((~(v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0))) | v127(constB113, bitIndex0) | (~v130(constB113, bitIndex0))),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16587,plain,
% 13.64/9.71 (v127(constB113, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16586, 16585, 16578])).
% 13.64/9.71 tff(16588,plain,
% 13.64/9.71 ((~(v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0))) | v129(constB114, bitIndex0) | (~v127(constB113, bitIndex0))),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16589,plain,
% 13.64/9.71 (v129(constB114, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16588, 16587, 16574])).
% 13.64/9.71 tff(16590,plain,
% 13.64/9.71 ((~(v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0))),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16591,plain,
% 13.64/9.71 (v90(constB114, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16590, 16589, 16570])).
% 13.64/9.71 tff(16592,plain,
% 13.64/9.71 ((~(v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0))) | v90(constB115, bitIndex0) | (~v90(constB114, bitIndex0))),
% 13.64/9.71 inference(tautology,[status(thm)],[])).
% 13.64/9.71 tff(16593,plain,
% 13.64/9.71 (v90(constB115, bitIndex0)),
% 13.64/9.71 inference(unit_resolution,[status(thm)],[16592, 16591, 16566])).
% 13.64/9.71 tff(16594,plain,
% 13.64/9.71 (((~![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)))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16595,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16596,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16595, 16594])).
% 13.64/9.72 tff(16597,plain,
% 13.64/9.72 (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16596, 1288, 16408])).
% 13.64/9.72 tff(16598,plain,
% 13.64/9.72 (((~![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)))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16599,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16600,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16599, 16598])).
% 13.64/9.72 tff(16601,plain,
% 13.64/9.72 (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16600, 1288, 16522])).
% 13.64/9.72 tff(16602,plain,
% 13.64/9.72 (((~![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)))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16603,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16604,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 13.64/9.72 tff(16605,plain,
% 13.64/9.72 (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16604, 1288, 16530])).
% 13.64/9.72 tff(16606,plain,
% 13.64/9.72 (((~![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)))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16607,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16608,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16607, 16606])).
% 13.64/9.72 tff(16609,plain,
% 13.64/9.72 (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16608, 1288, 16538])).
% 13.64/9.72 tff(16610,plain,
% 13.64/9.72 (((~![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)))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16611,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b011(bitIndex1)))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16612,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b011(bitIndex1))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 13.64/9.72 tff(16613,plain,
% 13.64/9.72 (v130(constB113, bitIndex1) <=> b011(bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16612, 1288, 16547])).
% 13.64/9.72 tff(16614,plain,
% 13.64/9.72 ((~(v130(constB113, bitIndex1) <=> b011(bitIndex1))) | v130(constB113, bitIndex1) | (~b011(bitIndex1))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16615,plain,
% 13.64/9.72 ((~(v130(constB113, bitIndex1) <=> b011(bitIndex1))) | v130(constB113, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16614, 1912])).
% 13.64/9.72 tff(16616,plain,
% 13.64/9.72 (v130(constB113, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16615, 16613])).
% 13.64/9.72 tff(16617,plain,
% 13.64/9.72 ((~(v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1))) | v127(constB113, bitIndex1) | (~v130(constB113, bitIndex1))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16618,plain,
% 13.64/9.72 (v127(constB113, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16617, 16616, 16609])).
% 13.64/9.72 tff(16619,plain,
% 13.64/9.72 ((~(v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1))) | v129(constB114, bitIndex1) | (~v127(constB113, bitIndex1))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16620,plain,
% 13.64/9.72 (v129(constB114, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16619, 16618, 16605])).
% 13.64/9.72 tff(16621,plain,
% 13.64/9.72 ((~(v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16622,plain,
% 13.64/9.72 (v90(constB114, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16621, 16620, 16601])).
% 13.64/9.72 tff(16623,plain,
% 13.64/9.72 ((~(v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1))) | v90(constB115, bitIndex1) | (~v90(constB114, bitIndex1))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16624,plain,
% 13.64/9.72 (v90(constB115, bitIndex1)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16623, 16622, 16597])).
% 13.64/9.72 tff(16625,plain,
% 13.64/9.72 ((~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16626,plain,
% 13.64/9.72 (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16625, 16624, 16593, 16562])).
% 13.64/9.72 tff(16627,plain,
% 13.64/9.72 ((~(v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) | v122(constB115) | (v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16628,plain,
% 13.64/9.72 (v122(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16627, 16626, 16383])).
% 13.64/9.72 tff(16629,plain,
% 13.64/9.72 ((v117(constB115) | v122(constB115)) | (~v122(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16630,plain,
% 13.64/9.72 (v117(constB115) | v122(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16629, 16628])).
% 13.64/9.72 tff(16631,plain,
% 13.64/9.72 ((~(v116(constB115) <=> (v117(constB115) | v122(constB115)))) | v116(constB115) | (~(v117(constB115) | v122(constB115)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16632,plain,
% 13.64/9.72 (v116(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16631, 16630, 16376])).
% 13.64/9.72 tff(16633,plain,
% 13.64/9.72 ((v116(constB115) | v123(constB115)) | (~v116(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16634,plain,
% 13.64/9.72 (v116(constB115) | v123(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16633, 16632])).
% 13.64/9.72 tff(16635,plain,
% 13.64/9.72 ((~(v115(constB115) <=> (v116(constB115) | v123(constB115)))) | v115(constB115) | (~(v116(constB115) | v123(constB115)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16636,plain,
% 13.64/9.72 (v115(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16635, 16634, 16374])).
% 13.64/9.72 tff(16637,plain,
% 13.64/9.72 ((v115(constB115) | v124(constB115)) | (~v115(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16638,plain,
% 13.64/9.72 (v115(constB115) | v124(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16637, 16636])).
% 13.64/9.72 tff(16639,plain,
% 13.64/9.72 ((~(v114(constB115) <=> (v115(constB115) | v124(constB115)))) | v114(constB115) | (~(v115(constB115) | v124(constB115)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16640,plain,
% 13.64/9.72 (v114(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16639, 16638, 16372])).
% 13.64/9.72 tff(16641,plain,
% 13.64/9.72 ((v114(constB115) | v125(constB115)) | (~v114(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16642,plain,
% 13.64/9.72 (v114(constB115) | v125(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16641, 16640])).
% 13.64/9.72 tff(16643,plain,
% 13.64/9.72 ((~(v113(constB115) <=> (v114(constB115) | v125(constB115)))) | v113(constB115) | (~(v114(constB115) | v125(constB115)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16644,plain,
% 13.64/9.72 (v113(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16643, 16642, 16370])).
% 13.64/9.72 tff(16645,plain,
% 13.64/9.72 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB115)) <=> v111(constB115))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16646,plain,
% 13.64/9.72 ((~v126(constB115)) <=> v111(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16645, 1345])).
% 13.64/9.72 tff(16647,plain,
% 13.64/9.72 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB115) <=> v26(constB115))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16648,plain,
% 13.64/9.72 (v111(constB115) <=> v26(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16647, 1357])).
% 13.64/9.72 tff(16649,plain,
% 13.64/9.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16650,plain,
% 13.64/9.72 (~v26(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16649, 1369])).
% 13.64/9.72 tff(16651,plain,
% 13.64/9.72 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115)) | v26(constB115)),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16652,plain,
% 13.64/9.72 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16651, 16650])).
% 13.64/9.72 tff(16653,plain,
% 13.64/9.72 (~v111(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16652, 16648])).
% 13.64/9.72 tff(16654,plain,
% 13.64/9.72 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115) | v111(constB115)),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16655,plain,
% 13.64/9.72 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16654, 16653])).
% 13.64/9.72 tff(16656,plain,
% 13.64/9.72 (v126(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16655, 16646])).
% 13.64/9.72 tff(16657,plain,
% 13.64/9.72 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115)) | (~v126(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16658,plain,
% 13.64/9.72 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16657, 16656])).
% 13.64/9.72 tff(16659,plain,
% 13.64/9.72 (~((~v113(constB115)) | (~v126(constB115)))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16658, 16644])).
% 13.64/9.72 tff(16660,plain,
% 13.64/9.72 ((~(v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))) | v112(constB115) | ((~v113(constB115)) | (~v126(constB115)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16661,plain,
% 13.64/9.72 (v112(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16660, 16659, 16368])).
% 13.64/9.72 tff(16662,plain,
% 13.64/9.72 ((v111(constB115) | v112(constB115)) | (~v112(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16663,plain,
% 13.64/9.72 (v111(constB115) | v112(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16662, 16661])).
% 13.64/9.72 tff(16664,plain,
% 13.64/9.72 ((~(v108(constB115) <=> (v111(constB115) | v112(constB115)))) | v108(constB115) | (~(v111(constB115) | v112(constB115)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16665,plain,
% 13.64/9.72 (v108(constB115)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16664, 16663, 16366])).
% 13.64/9.72 tff(16666,plain,
% 13.64/9.72 ((~(v110(constB116) <=> v108(constB115))) | v110(constB116) | (~v108(constB115))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16667,plain,
% 13.64/9.72 (v110(constB116)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16666, 16665, 16364])).
% 13.64/9.72 tff(16668,plain,
% 13.64/9.72 ((~((~v101(constB116)) | (~v110(constB116)))) | (~v101(constB116)) | (~v110(constB116))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16669,plain,
% 13.64/9.72 (~((~v101(constB116)) | (~v110(constB116)))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16668, 16667, 16360])).
% 13.64/9.72 tff(16670,plain,
% 13.64/9.72 ((~(v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))) | v100(constB116) | ((~v101(constB116)) | (~v110(constB116)))),
% 13.64/9.72 inference(tautology,[status(thm)],[])).
% 13.64/9.72 tff(16671,plain,
% 13.64/9.72 (v100(constB116)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16670, 16669, 16335])).
% 13.64/9.72 tff(16672,plain,
% 13.64/9.72 (((~![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))))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16673,plain,
% 13.64/9.72 ((~![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))))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16674,plain,
% 13.64/9.72 ((~![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)))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 13.64/9.72 tff(16675,plain,
% 13.64/9.72 ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16674, 1405])).
% 13.64/9.72 tff(16676,plain,
% 13.64/9.72 (![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16675, 16671])).
% 13.64/9.72 tff(16677,plain,
% 13.64/9.72 (((~![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)))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16678,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.72 tff(16679,plain,
% 13.64/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2))),
% 13.64/9.72 inference(modus_ponens,[status(thm)],[16678, 16677])).
% 13.64/9.72 tff(16680,plain,
% 13.64/9.72 (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)),
% 13.64/9.72 inference(unit_resolution,[status(thm)],[16679, 579, 16676])).
% 13.64/9.72 tff(16681,plain,
% 13.64/9.72 (((~![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))))),
% 13.64/9.72 inference(rewrite,[status(thm)],[])).
% 13.64/9.72 tff(16682,plain,
% 13.64/9.72 ((~![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))))),
% 13.64/9.72 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16683,plain,
% 13.64/9.73 ((~![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)))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 13.64/9.73 tff(16684,plain,
% 13.64/9.73 (![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16683, 3044, 1427])).
% 13.64/9.73 tff(16685,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16686,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16687,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 13.64/9.73 tff(16688,plain,
% 13.64/9.73 (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16687, 579, 16684])).
% 13.64/9.73 tff(16689,plain,
% 13.64/9.73 (((~![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))))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16690,plain,
% 13.64/9.73 ((~![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))))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16691,plain,
% 13.64/9.73 ((~![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)))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16690, 16689])).
% 13.64/9.73 tff(16692,plain,
% 13.64/9.73 (![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16691, 1448, 16653])).
% 13.64/9.73 tff(16693,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16694,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16695,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 13.64/9.73 tff(16696,plain,
% 13.64/9.73 (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16695, 579, 16692])).
% 13.64/9.73 tff(16697,plain,
% 13.64/9.73 (((~![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))))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16698,plain,
% 13.64/9.73 ((~![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))))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16699,plain,
% 13.64/9.73 ((~![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)))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 13.64/9.73 tff(16700,plain,
% 13.64/9.73 ((~v122(constB115)) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16699, 2008])).
% 13.64/9.73 tff(16701,plain,
% 13.64/9.73 (![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16700, 16628])).
% 13.64/9.73 tff(16702,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16703,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b100(bitIndex2)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16704,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b100(bitIndex2))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 13.64/9.73 tff(16705,plain,
% 13.64/9.73 (v130(constB115, bitIndex2) <=> b100(bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16704, 579, 16701])).
% 13.64/9.73 tff(16706,plain,
% 13.64/9.73 ((~(v130(constB115, bitIndex2) <=> b100(bitIndex2))) | v130(constB115, bitIndex2) | (~b100(bitIndex2))),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16707,plain,
% 13.64/9.73 ((~(v130(constB115, bitIndex2) <=> b100(bitIndex2))) | v130(constB115, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16706, 2020])).
% 13.64/9.73 tff(16708,plain,
% 13.64/9.73 (v130(constB115, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16707, 16705])).
% 13.64/9.73 tff(16709,plain,
% 13.64/9.73 ((~(v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2))) | v127(constB115, bitIndex2) | (~v130(constB115, bitIndex2))),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16710,plain,
% 13.64/9.73 (v127(constB115, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16709, 16708, 16696])).
% 13.64/9.73 tff(16711,plain,
% 13.64/9.73 ((~(v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2))) | v129(constB116, bitIndex2) | (~v127(constB115, bitIndex2))),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16712,plain,
% 13.64/9.73 (v129(constB116, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16711, 16710, 16688])).
% 13.64/9.73 tff(16713,plain,
% 13.64/9.73 ((~(v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2))),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16714,plain,
% 13.64/9.73 (v90(constB116, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16713, 16712, 16680])).
% 13.64/9.73 tff(16715,plain,
% 13.64/9.73 ((~(v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2))) | v90(constB117, bitIndex2) | (~v90(constB116, bitIndex2))),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16716,plain,
% 13.64/9.73 (v90(constB117, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16715, 16714, 16331])).
% 13.64/9.73 tff(16717,plain,
% 13.64/9.73 ((~(v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2))) | v88(constB117, bitIndex2) | (~v90(constB117, bitIndex2))),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16718,plain,
% 13.64/9.73 (v88(constB117, bitIndex2)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16717, 16716, 16299])).
% 13.64/9.73 tff(16719,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16720,plain,
% 13.64/9.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16721,plain,
% 13.64/9.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 13.64/9.73 tff(16722,plain,
% 13.64/9.73 (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16721, 1275, 576])).
% 13.64/9.73 tff(16723,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16724,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16725,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 13.64/9.73 tff(16726,plain,
% 13.64/9.73 (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16725, 1275, 16327])).
% 13.64/9.73 tff(16727,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16728,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16729,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 13.64/9.73 tff(16730,plain,
% 13.64/9.73 (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16729, 1275, 16676])).
% 13.64/9.73 tff(16731,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16732,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16733,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 13.64/9.73 tff(16734,plain,
% 13.64/9.73 (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16733, 1275, 16684])).
% 13.64/9.73 tff(16735,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16736,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16737,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16736, 16735])).
% 13.64/9.73 tff(16738,plain,
% 13.64/9.73 (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16737, 1275, 16692])).
% 13.64/9.73 tff(16739,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16740,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b100(bitIndex0)))),
% 13.64/9.73 inference(quant_inst,[status(thm)],[])).
% 13.64/9.73 tff(16741,plain,
% 13.64/9.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b100(bitIndex0))),
% 13.64/9.73 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 13.64/9.73 tff(16742,plain,
% 13.64/9.73 (v130(constB115, bitIndex0) <=> b100(bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16741, 1275, 16701])).
% 13.64/9.73 tff(16743,plain,
% 13.64/9.73 ((~(v130(constB115, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB115, bitIndex0)) | b100(bitIndex0)),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16744,plain,
% 13.64/9.73 ((~(v130(constB115, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB115, bitIndex0))),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16743, 2054])).
% 13.64/9.73 tff(16745,plain,
% 13.64/9.73 (~v130(constB115, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16744, 16742])).
% 13.64/9.73 tff(16746,plain,
% 13.64/9.73 ((~(v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0))) | (~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16747,plain,
% 13.64/9.73 (~v127(constB115, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16746, 16745, 16738])).
% 13.64/9.73 tff(16748,plain,
% 13.64/9.73 ((~(v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0))) | (~v129(constB116, bitIndex0)) | v127(constB115, bitIndex0)),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16749,plain,
% 13.64/9.73 (~v129(constB116, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16748, 16747, 16734])).
% 13.64/9.73 tff(16750,plain,
% 13.64/9.73 ((~(v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0)),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16751,plain,
% 13.64/9.73 (~v90(constB116, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16750, 16749, 16730])).
% 13.64/9.73 tff(16752,plain,
% 13.64/9.73 ((~(v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0))) | (~v90(constB117, bitIndex0)) | v90(constB116, bitIndex0)),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16753,plain,
% 13.64/9.73 (~v90(constB117, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16752, 16751, 16726])).
% 13.64/9.73 tff(16754,plain,
% 13.64/9.73 ((~(v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0))) | (~v88(constB117, bitIndex0)) | v90(constB117, bitIndex0)),
% 13.64/9.73 inference(tautology,[status(thm)],[])).
% 13.64/9.73 tff(16755,plain,
% 13.64/9.73 (~v88(constB117, bitIndex0)),
% 13.64/9.73 inference(unit_resolution,[status(thm)],[16754, 16753, 16722])).
% 13.64/9.73 tff(16756,plain,
% 13.64/9.73 (((~![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)))),
% 13.64/9.73 inference(rewrite,[status(thm)],[])).
% 13.64/9.73 tff(16757,plain,
% 13.64/9.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16758,plain,
% 13.64/9.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 13.64/9.74 tff(16759,plain,
% 13.64/9.74 (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16758, 1288, 576])).
% 13.64/9.74 tff(16760,plain,
% 13.64/9.74 (((~![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)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16761,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16762,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16761, 16760])).
% 13.64/9.74 tff(16763,plain,
% 13.64/9.74 (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16762, 1288, 16327])).
% 13.64/9.74 tff(16764,plain,
% 13.64/9.74 (((~![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)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16765,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16766,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16765, 16764])).
% 13.64/9.74 tff(16767,plain,
% 13.64/9.74 (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16766, 1288, 16676])).
% 13.64/9.74 tff(16768,plain,
% 13.64/9.74 (((~![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)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16769,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16770,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16769, 16768])).
% 13.64/9.74 tff(16771,plain,
% 13.64/9.74 (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16770, 1288, 16684])).
% 13.64/9.74 tff(16772,plain,
% 13.64/9.74 (((~![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)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16773,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16774,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16773, 16772])).
% 13.64/9.74 tff(16775,plain,
% 13.64/9.74 (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16774, 1288, 16692])).
% 13.64/9.74 tff(16776,plain,
% 13.64/9.74 (((~![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)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16777,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b100(bitIndex1)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16778,plain,
% 13.64/9.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b100(bitIndex1))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16777, 16776])).
% 13.64/9.74 tff(16779,plain,
% 13.64/9.74 (v130(constB115, bitIndex1) <=> b100(bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16778, 1288, 16701])).
% 13.64/9.74 tff(16780,plain,
% 13.64/9.74 ((~(v130(constB115, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB115, bitIndex1)) | b100(bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16781,plain,
% 13.64/9.74 ((~(v130(constB115, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB115, bitIndex1))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16780, 2088])).
% 13.64/9.74 tff(16782,plain,
% 13.64/9.74 (~v130(constB115, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16781, 16779])).
% 13.64/9.74 tff(16783,plain,
% 13.64/9.74 ((~(v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1))) | (~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16784,plain,
% 13.64/9.74 (~v127(constB115, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16783, 16782, 16775])).
% 13.64/9.74 tff(16785,plain,
% 13.64/9.74 ((~(v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1))) | (~v129(constB116, bitIndex1)) | v127(constB115, bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16786,plain,
% 13.64/9.74 (~v129(constB116, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16785, 16784, 16771])).
% 13.64/9.74 tff(16787,plain,
% 13.64/9.74 ((~(v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16788,plain,
% 13.64/9.74 (~v90(constB116, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16787, 16786, 16767])).
% 13.64/9.74 tff(16789,plain,
% 13.64/9.74 ((~(v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1))) | (~v90(constB117, bitIndex1)) | v90(constB116, bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16790,plain,
% 13.64/9.74 (~v90(constB117, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16789, 16788, 16763])).
% 13.64/9.74 tff(16791,plain,
% 13.64/9.74 ((~(v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1))) | (~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16792,plain,
% 13.64/9.74 (~v88(constB117, bitIndex1)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16791, 16790, 16759])).
% 13.64/9.74 tff(16793,plain,
% 13.64/9.74 ((~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))) | v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1)),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16794,plain,
% 13.64/9.74 (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16793, 16792, 16755, 16718])).
% 13.64/9.74 tff(16795,plain,
% 13.64/9.74 ((~(v146(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))))) | v146(constB117) | (v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16796,plain,
% 13.64/9.74 (v146(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16795, 16794, 16295])).
% 13.64/9.74 tff(16797,plain,
% 13.64/9.74 ((v146(constB117) | v147(constB117)) | (~v146(constB117))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16798,plain,
% 13.64/9.74 (v146(constB117) | v147(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16797, 16796])).
% 13.64/9.74 tff(16799,plain,
% 13.64/9.74 ((~(v145(constB117) <=> (v146(constB117) | v147(constB117)))) | v145(constB117) | (~(v146(constB117) | v147(constB117)))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16800,plain,
% 13.64/9.74 (v145(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16799, 16798, 16275])).
% 13.64/9.74 tff(16801,plain,
% 13.64/9.74 ((v136(constB117) | v145(constB117)) | (~v145(constB117))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16802,plain,
% 13.64/9.74 (v136(constB117) | v145(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16801, 16800])).
% 13.64/9.74 tff(16803,plain,
% 13.64/9.74 ((~(v135(constB117) <=> (v136(constB117) | v145(constB117)))) | v135(constB117) | (~(v136(constB117) | v145(constB117)))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16804,plain,
% 13.64/9.74 (v135(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16803, 16802, 16273])).
% 13.64/9.74 tff(16805,plain,
% 13.64/9.74 (^[VarNext: $i] : refl(((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 13.64/9.74 inference(bind,[status(th)],[])).
% 13.64/9.74 tff(16806,plain,
% 13.64/9.74 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(quant_intro,[status(thm)],[16805])).
% 13.64/9.74 tff(16807,plain,
% 13.64/9.74 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16808,plain,
% 13.64/9.74 (^[VarNext: $i] : rewrite((v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 13.64/9.74 inference(bind,[status(th)],[])).
% 13.64/9.74 tff(16809,plain,
% 13.64/9.74 (![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(quant_intro,[status(thm)],[16808])).
% 13.64/9.74 tff(16810,axiom,(![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 13.64/9.74 tff(16811,plain,
% 13.64/9.74 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 13.64/9.74 tff(16812,plain,
% 13.64/9.74 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16811, 16807])).
% 13.64/9.74 tff(16813,plain,(
% 13.64/9.74 ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(skolemize,[status(sab)],[16812])).
% 13.64/9.74 tff(16814,plain,
% 13.64/9.74 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16813, 16806])).
% 13.64/9.74 tff(16815,plain,
% 13.64/9.74 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB117)) | (v86(constB117) <=> v148(constB117)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB117)) | (v86(constB117) <=> v148(constB117)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16816,plain,
% 13.64/9.74 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB117)) | (v86(constB117) <=> v148(constB117)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16817,plain,
% 13.64/9.74 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB117)) | (v86(constB117) <=> v148(constB117))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16816, 16815])).
% 13.64/9.74 tff(16818,plain,
% 13.64/9.74 ((~v135(constB117)) | (v86(constB117) <=> v148(constB117))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16817, 16814])).
% 13.64/9.74 tff(16819,plain,
% 13.64/9.74 (v86(constB117) <=> v148(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16818, 16804])).
% 13.64/9.74 tff(16820,plain,
% 13.64/9.74 (^[VarCurr: $i] : refl((v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr))) <=> (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr))))),
% 13.64/9.74 inference(bind,[status(th)],[])).
% 13.64/9.74 tff(16821,plain,
% 13.64/9.74 (![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr))) <=> ![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(quant_intro,[status(thm)],[16820])).
% 13.64/9.74 tff(16822,plain,
% 13.64/9.74 (![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr))) <=> ![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(rewrite,[status(thm)],[])).
% 13.64/9.74 tff(16823,plain,
% 13.64/9.74 (^[VarCurr: $i] : rewrite((v149(VarCurr) <=> (v151(VarCurr) | v142(VarCurr))) <=> (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr))))),
% 13.64/9.74 inference(bind,[status(th)],[])).
% 13.64/9.74 tff(16824,plain,
% 13.64/9.74 (![VarCurr: $i] : (v149(VarCurr) <=> (v151(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(quant_intro,[status(thm)],[16823])).
% 13.64/9.74 tff(16825,axiom,(![VarCurr: $i] : (v149(VarCurr) <=> (v151(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36')).
% 13.64/9.74 tff(16826,plain,
% 13.64/9.74 (![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16825, 16824])).
% 13.64/9.74 tff(16827,plain,
% 13.64/9.74 (![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16826, 16822])).
% 13.64/9.74 tff(16828,plain,(
% 13.64/9.74 ![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(skolemize,[status(sab)],[16827])).
% 13.64/9.74 tff(16829,plain,
% 13.64/9.74 (![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))),
% 13.64/9.74 inference(modus_ponens,[status(thm)],[16828, 16821])).
% 13.64/9.74 tff(16830,plain,
% 13.64/9.74 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB117) <=> (v142(constB117) | v151(constB117)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16831,plain,
% 13.64/9.74 (v149(constB117) <=> (v142(constB117) | v151(constB117))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16830, 16829])).
% 13.64/9.74 tff(16832,plain,
% 13.64/9.74 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB117) <=> (v143(constB117) | v144(constB117)))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16833,plain,
% 13.64/9.74 (v142(constB117) <=> (v143(constB117) | v144(constB117))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16832, 2813])).
% 13.64/9.74 tff(16834,plain,
% 13.64/9.74 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)))))),
% 13.64/9.74 inference(quant_inst,[status(thm)],[])).
% 13.64/9.74 tff(16835,plain,
% 13.64/9.74 (v143(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1))))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16834, 16089])).
% 13.64/9.74 tff(16836,plain,
% 13.64/9.74 ((v88(constB117, bitIndex0) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1))) | (~v88(constB117, bitIndex2))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16837,plain,
% 13.64/9.74 (v88(constB117, bitIndex0) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1))),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16836, 16718])).
% 13.64/9.74 tff(16838,plain,
% 13.64/9.74 ((~(v143(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)))))) | (~v143(constB117)) | (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1))))),
% 13.64/9.74 inference(tautology,[status(thm)],[])).
% 13.64/9.74 tff(16839,plain,
% 13.64/9.74 (~v143(constB117)),
% 13.64/9.74 inference(unit_resolution,[status(thm)],[16838, 16837, 16835])).
% 13.64/9.74 tff(16840,plain,
% 13.64/9.74 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))))))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16841,plain,
% 13.64/9.75 ((v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex2))))) <=> (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1)))))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16842,plain,
% 13.64/9.75 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))))))),
% 13.64/9.75 inference(monotonicity,[status(thm)],[16841])).
% 13.64/9.75 tff(16843,plain,
% 13.64/9.75 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))))))),
% 13.64/9.75 inference(transitivity,[status(thm)],[16842, 16840])).
% 13.64/9.75 tff(16844,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex2)))))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16845,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1)))))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 13.64/9.75 tff(16846,plain,
% 13.64/9.75 (v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16845, 2828])).
% 13.64/9.75 tff(16847,plain,
% 13.64/9.75 ((v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))) | v88(constB117, bitIndex1)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16848,plain,
% 13.64/9.75 (v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16847, 16792])).
% 13.64/9.75 tff(16849,plain,
% 13.64/9.75 ((~(v144(constB117) <=> (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1)))))) | (~v144(constB117)) | (~(v88(constB117, bitIndex0) | (~v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex1))))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16850,plain,
% 13.64/9.75 (~v144(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16849, 16848, 16846])).
% 13.64/9.75 tff(16851,plain,
% 13.64/9.75 ((~(v143(constB117) | v144(constB117))) | v143(constB117) | v144(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16852,plain,
% 13.64/9.75 (~(v143(constB117) | v144(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16851, 16850, 16839])).
% 13.64/9.75 tff(16853,plain,
% 13.64/9.75 ((~(v142(constB117) <=> (v143(constB117) | v144(constB117)))) | (~v142(constB117)) | (v143(constB117) | v144(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16854,plain,
% 13.64/9.75 (~v142(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16853, 16852, 16833])).
% 13.64/9.75 tff(16855,plain,
% 13.64/9.75 (^[VarCurr: $i] : refl((v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr))) <=> (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr))))),
% 13.64/9.75 inference(bind,[status(th)],[])).
% 13.64/9.75 tff(16856,plain,
% 13.64/9.75 (![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr))) <=> ![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(quant_intro,[status(thm)],[16855])).
% 13.64/9.75 tff(16857,plain,
% 13.64/9.75 (![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr))) <=> ![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16858,plain,
% 13.64/9.75 (^[VarCurr: $i] : rewrite((v151(VarCurr) <=> (v152(VarCurr) | v141(VarCurr))) <=> (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr))))),
% 13.64/9.75 inference(bind,[status(th)],[])).
% 13.64/9.75 tff(16859,plain,
% 13.64/9.75 (![VarCurr: $i] : (v151(VarCurr) <=> (v152(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(quant_intro,[status(thm)],[16858])).
% 13.64/9.75 tff(16860,axiom,(![VarCurr: $i] : (v151(VarCurr) <=> (v152(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_35')).
% 13.64/9.75 tff(16861,plain,
% 13.64/9.75 (![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 13.64/9.75 tff(16862,plain,
% 13.64/9.75 (![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16861, 16857])).
% 13.64/9.75 tff(16863,plain,(
% 13.64/9.75 ![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(skolemize,[status(sab)],[16862])).
% 13.64/9.75 tff(16864,plain,
% 13.64/9.75 (![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16863, 16856])).
% 13.64/9.75 tff(16865,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB117) <=> (v141(constB117) | v152(constB117)))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16866,plain,
% 13.64/9.75 (v151(constB117) <=> (v141(constB117) | v152(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16865, 16864])).
% 13.64/9.75 tff(16867,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB117) <=> (~(v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex0)))))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16868,plain,
% 13.64/9.75 (v141(constB117) <=> (~(v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex0))))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16867, 564])).
% 13.64/9.75 tff(16869,plain,
% 13.64/9.75 ((v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex0))) | (~v88(constB117, bitIndex2))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16870,plain,
% 13.64/9.75 (v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex0))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16869, 16718])).
% 13.64/9.75 tff(16871,plain,
% 13.64/9.75 ((~(v141(constB117) <=> (~(v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex0)))))) | (~v141(constB117)) | (~(v88(constB117, bitIndex2) | (~v88(constB117, bitIndex1)) | (~v88(constB117, bitIndex0))))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16872,plain,
% 13.64/9.75 (~v141(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16871, 16870, 16868])).
% 13.64/9.75 tff(16873,plain,
% 13.64/9.75 (^[VarCurr: $i] : refl((v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 13.64/9.75 inference(bind,[status(th)],[])).
% 13.64/9.75 tff(16874,plain,
% 13.64/9.75 (![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.64/9.75 inference(quant_intro,[status(thm)],[16873])).
% 13.64/9.75 tff(16875,plain,
% 13.64/9.75 (![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16876,axiom,(![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_34')).
% 13.64/9.75 tff(16877,plain,
% 13.64/9.75 (![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16876, 16875])).
% 13.64/9.75 tff(16878,plain,(
% 13.64/9.75 ![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.64/9.75 inference(skolemize,[status(sab)],[16877])).
% 13.64/9.75 tff(16879,plain,
% 13.64/9.75 (![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16878, 16874])).
% 13.64/9.75 tff(16880,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB117) <=> (v139(constB117) | v140(constB117)))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16881,plain,
% 13.64/9.75 (v152(constB117) <=> (v139(constB117) | v140(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16880, 16879])).
% 13.64/9.75 tff(16882,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2))))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16883,plain,
% 13.64/9.75 (v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16882, 2231])).
% 13.64/9.75 tff(16884,plain,
% 13.64/9.75 ((v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex2))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16885,plain,
% 13.64/9.75 (v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16884, 16718])).
% 13.64/9.75 tff(16886,plain,
% 13.64/9.75 ((~(v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2))))) | (~v139(constB117)) | (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16887,plain,
% 13.64/9.75 (~v139(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16886, 16885, 16883])).
% 13.64/9.75 tff(16888,plain,
% 13.64/9.75 (((~![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))))))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16889,plain,
% 13.64/9.75 ((v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))))) <=> (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16890,plain,
% 13.64/9.75 (((~![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))))))),
% 13.64/9.75 inference(monotonicity,[status(thm)],[16889])).
% 13.64/9.75 tff(16891,plain,
% 13.64/9.75 (((~![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))))))),
% 13.64/9.75 inference(transitivity,[status(thm)],[16890, 16888])).
% 13.64/9.75 tff(16892,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16893,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16892, 16891])).
% 13.64/9.75 tff(16894,plain,
% 13.64/9.75 (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16893, 2250])).
% 13.64/9.75 tff(16895,plain,
% 13.64/9.75 ((v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))) | (~v88(constB117, bitIndex2))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16896,plain,
% 13.64/9.75 (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16895, 16718])).
% 13.64/9.75 tff(16897,plain,
% 13.64/9.75 ((~(v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))) | (~v140(constB117)) | (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16898,plain,
% 13.64/9.75 (~v140(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16897, 16896, 16894])).
% 13.64/9.75 tff(16899,plain,
% 13.64/9.75 ((~(v139(constB117) | v140(constB117))) | v139(constB117) | v140(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16900,plain,
% 13.64/9.75 (~(v139(constB117) | v140(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16899, 16898, 16887])).
% 13.64/9.75 tff(16901,plain,
% 13.64/9.75 ((~(v152(constB117) <=> (v139(constB117) | v140(constB117)))) | (~v152(constB117)) | (v139(constB117) | v140(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16902,plain,
% 13.64/9.75 (~v152(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16901, 16900, 16881])).
% 13.64/9.75 tff(16903,plain,
% 13.64/9.75 ((~(v141(constB117) | v152(constB117))) | v141(constB117) | v152(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16904,plain,
% 13.64/9.75 (~(v141(constB117) | v152(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16903, 16902, 16872])).
% 13.64/9.75 tff(16905,plain,
% 13.64/9.75 ((~(v151(constB117) <=> (v141(constB117) | v152(constB117)))) | (~v151(constB117)) | (v141(constB117) | v152(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16906,plain,
% 13.64/9.75 (~v151(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16905, 16904, 16866])).
% 13.64/9.75 tff(16907,plain,
% 13.64/9.75 ((~(v142(constB117) | v151(constB117))) | v142(constB117) | v151(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16908,plain,
% 13.64/9.75 (~(v142(constB117) | v151(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16907, 16906, 16854])).
% 13.64/9.75 tff(16909,plain,
% 13.64/9.75 ((~(v149(constB117) <=> (v142(constB117) | v151(constB117)))) | (~v149(constB117)) | (v142(constB117) | v151(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16910,plain,
% 13.64/9.75 (~v149(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16909, 16908, 16831])).
% 13.64/9.75 tff(16911,plain,
% 13.64/9.75 (^[VarCurr: $i] : refl((v148(VarCurr) | v149(VarCurr)) <=> (v148(VarCurr) | v149(VarCurr)))),
% 13.64/9.75 inference(bind,[status(th)],[])).
% 13.64/9.75 tff(16912,plain,
% 13.64/9.75 (![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr)) <=> ![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(quant_intro,[status(thm)],[16911])).
% 13.64/9.75 tff(16913,plain,
% 13.64/9.75 (![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr)) <=> ![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16914,plain,
% 13.64/9.75 (^[VarCurr: $i] : trans(monotonicity(rewrite((v148(VarCurr) <=> $true) <=> v148(VarCurr)), (((~v149(VarCurr)) => (v148(VarCurr) <=> $true)) <=> ((~v149(VarCurr)) => v148(VarCurr)))), rewrite(((~v149(VarCurr)) => v148(VarCurr)) <=> (v148(VarCurr) | v149(VarCurr))), (((~v149(VarCurr)) => (v148(VarCurr) <=> $true)) <=> (v148(VarCurr) | v149(VarCurr))))),
% 13.64/9.75 inference(bind,[status(th)],[])).
% 13.64/9.75 tff(16915,plain,
% 13.64/9.75 (![VarCurr: $i] : ((~v149(VarCurr)) => (v148(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(quant_intro,[status(thm)],[16914])).
% 13.64/9.75 tff(16916,axiom,(![VarCurr: $i] : ((~v149(VarCurr)) => (v148(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2')).
% 13.64/9.75 tff(16917,plain,
% 13.64/9.75 (![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16916, 16915])).
% 13.64/9.75 tff(16918,plain,
% 13.64/9.75 (![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16917, 16913])).
% 13.64/9.75 tff(16919,plain,(
% 13.64/9.75 ![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(skolemize,[status(sab)],[16918])).
% 13.64/9.75 tff(16920,plain,
% 13.64/9.75 (![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16919, 16912])).
% 13.64/9.75 tff(16921,plain,
% 13.64/9.75 (((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB117) | v149(constB117))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB117) | v149(constB117))),
% 13.64/9.75 inference(rewrite,[status(thm)],[])).
% 13.64/9.75 tff(16922,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB117) | v149(constB117))),
% 13.64/9.75 inference(quant_inst,[status(thm)],[])).
% 13.64/9.75 tff(16923,plain,
% 13.64/9.75 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB117) | v149(constB117)),
% 13.64/9.75 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 13.64/9.75 tff(16924,plain,
% 13.64/9.75 (v148(constB117) | v149(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16923, 16920])).
% 13.64/9.75 tff(16925,plain,
% 13.64/9.75 (v148(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16924, 16910])).
% 13.64/9.75 tff(16926,plain,
% 13.64/9.75 ((~(v86(constB117) <=> v148(constB117))) | v86(constB117) | (~v148(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16927,plain,
% 13.64/9.75 (v86(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16926, 16925, 16819])).
% 13.64/9.75 tff(16928,plain,
% 13.64/9.75 ((~(v84(constB117) <=> v86(constB117))) | v84(constB117) | (~v86(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16929,plain,
% 13.64/9.75 ((~(v84(constB117) <=> v86(constB117))) | v84(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16928, 16927])).
% 13.64/9.75 tff(16930,plain,
% 13.64/9.75 (v84(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16929, 16264])).
% 13.64/9.75 tff(16931,plain,
% 13.64/9.75 ((~((~v208(constB117)) <=> v84(constB117))) | (~v208(constB117)) | (~v84(constB117))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16932,plain,
% 13.64/9.75 ((~((~v208(constB117)) <=> v84(constB117))) | (~v208(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16931, 16930])).
% 13.64/9.75 tff(16933,plain,
% 13.64/9.75 (~v208(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16932, 16255])).
% 13.64/9.75 tff(16934,plain,
% 13.64/9.75 (((~v184(constB117)) | (~v208(constB117))) | v208(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16935,plain,
% 13.64/9.75 ((~v184(constB117)) | (~v208(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16934, 16933])).
% 13.64/9.75 tff(16936,plain,
% 13.64/9.75 ((~(v207(constB117) <=> (~((~v184(constB117)) | (~v208(constB117)))))) | (~v207(constB117)) | (~((~v184(constB117)) | (~v208(constB117))))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16937,plain,
% 13.64/9.75 (~v207(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16936, 16935, 16246])).
% 13.64/9.75 tff(16938,plain,
% 13.64/9.75 (((~v186(constB117)) | (~v207(constB117))) | v207(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16939,plain,
% 13.64/9.75 ((~v186(constB117)) | (~v207(constB117))),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16938, 16937])).
% 13.64/9.75 tff(16940,plain,
% 13.64/9.75 ((~(v206(constB117) <=> (~((~v186(constB117)) | (~v207(constB117)))))) | (~v206(constB117)) | (~((~v186(constB117)) | (~v207(constB117))))),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16941,plain,
% 13.64/9.75 (~v206(constB117)),
% 13.64/9.75 inference(unit_resolution,[status(thm)],[16940, 16939, 16229])).
% 13.64/9.75 tff(16942,plain,
% 13.64/9.75 (((~v158(constB117)) | (~v206(constB117))) | v206(constB117)),
% 13.64/9.75 inference(tautology,[status(thm)],[])).
% 13.64/9.75 tff(16943,plain,
% 13.64/9.75 ((~v158(constB117)) | (~v206(constB117))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16942, 16941])).
% 13.64/9.76 tff(16944,plain,
% 13.64/9.76 ((~(v205(constB117) <=> (~((~v158(constB117)) | (~v206(constB117)))))) | (~v205(constB117)) | (~((~v158(constB117)) | (~v206(constB117))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16945,plain,
% 13.64/9.76 (~v205(constB117)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16944, 16943, 16217])).
% 13.64/9.76 tff(16946,plain,
% 13.64/9.76 ((~(v205(constB117) | v209(constB117))) | v205(constB117) | v209(constB117)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16947,plain,
% 13.64/9.76 (~(v205(constB117) | v209(constB117))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16946, 16945, 16210])).
% 13.64/9.76 tff(16948,plain,
% 13.64/9.76 ((~(v204(constB117) <=> (v205(constB117) | v209(constB117)))) | (~v204(constB117)) | (v205(constB117) | v209(constB117))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16949,plain,
% 13.64/9.76 (~v204(constB117)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16948, 16947, 2985])).
% 13.64/9.76 tff(16950,plain,
% 13.64/9.76 ($false),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16949, 2983])).
% 13.64/9.76 tff(16951,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 13.64/9.76 tff(16952,assumption,(constB78 = VarCurr!0), introduced(assumption)).
% 13.64/9.76 tff(16953,plain,
% 13.64/9.76 (v204(constB78) <=> v204(VarCurr!0)),
% 13.64/9.76 inference(monotonicity,[status(thm)],[16952])).
% 13.64/9.76 tff(16954,plain,
% 13.64/9.76 (v204(VarCurr!0) <=> v204(constB78)),
% 13.64/9.76 inference(symmetry,[status(thm)],[16953])).
% 13.64/9.76 tff(16955,plain,
% 13.64/9.76 (v204(constB78)),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[27, 16954])).
% 13.64/9.76 tff(16956,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB78) <=> (v205(constB78) | v209(constB78)))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(16957,plain,
% 13.64/9.76 (v204(constB78) <=> (v205(constB78) | v209(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16956, 35])).
% 13.64/9.76 tff(16958,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78))))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(16959,plain,
% 13.64/9.76 ((v209(constB78) <=> (~((~v206(constB78)) | (~v191(constB78))))) <=> (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78)))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(16960,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v206(constB78)) | (~v191(constB78)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78))))))),
% 13.64/9.76 inference(monotonicity,[status(thm)],[16959])).
% 13.64/9.76 tff(16961,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v206(constB78)) | (~v191(constB78)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78))))))),
% 13.64/9.76 inference(transitivity,[status(thm)],[16960, 16958])).
% 13.64/9.76 tff(16962,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v206(constB78)) | (~v191(constB78)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(16963,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78)))))),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 13.64/9.76 tff(16964,plain,
% 13.64/9.76 (v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16963, 47])).
% 13.64/9.76 tff(16965,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB78) <=> (~((~v186(constB78)) | (~v207(constB78)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(16966,plain,
% 13.64/9.76 (v206(constB78) <=> (~((~v186(constB78)) | (~v207(constB78))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16965, 16227])).
% 13.64/9.76 tff(16967,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78))))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(16968,plain,
% 13.64/9.76 ((v207(constB78) <=> (~((~v208(constB78)) | (~v184(constB78))))) <=> (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78)))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(16969,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v208(constB78)) | (~v184(constB78)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78))))))),
% 13.64/9.76 inference(monotonicity,[status(thm)],[16968])).
% 13.64/9.76 tff(16970,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v208(constB78)) | (~v184(constB78)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78))))))),
% 13.64/9.76 inference(transitivity,[status(thm)],[16969, 16967])).
% 13.64/9.76 tff(16971,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v208(constB78)) | (~v184(constB78)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(16972,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78)))))),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 13.64/9.76 tff(16973,plain,
% 13.64/9.76 (v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16972, 16239])).
% 13.64/9.76 tff(16974,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(16975,plain,
% 13.64/9.76 (v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16974, 138])).
% 13.64/9.76 tff(16976,plain,
% 13.64/9.76 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB78)) <=> v1(constB78))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(16977,plain,
% 13.64/9.76 ((~v39(constB78)) <=> v1(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16976, 147])).
% 13.64/9.76 tff(16978,plain,
% 13.64/9.76 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78)) | (~v1(constB78))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16979,plain,
% 13.64/9.76 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16978, 4907])).
% 13.64/9.76 tff(16980,plain,
% 13.64/9.76 (~v39(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16979, 16977])).
% 13.64/9.76 tff(16981,plain,
% 13.64/9.76 (((~v39(constB78)) | (~v9(constB78))) | v39(constB78)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16982,plain,
% 13.64/9.76 ((~v39(constB78)) | (~v9(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16981, 16980])).
% 13.64/9.76 tff(16983,plain,
% 13.64/9.76 ((~(v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v184(constB78)) | (~((~v39(constB78)) | (~v9(constB78))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16984,plain,
% 13.64/9.76 ((~(v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v184(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16983, 16982])).
% 13.64/9.76 tff(16985,plain,
% 13.64/9.76 (~v184(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16984, 16975])).
% 13.64/9.76 tff(16986,plain,
% 13.64/9.76 (((~v184(constB78)) | (~v208(constB78))) | v184(constB78)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16987,plain,
% 13.64/9.76 ((~v184(constB78)) | (~v208(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16986, 16985])).
% 13.64/9.76 tff(16988,plain,
% 13.64/9.76 ((~(v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78)))))) | (~v207(constB78)) | (~((~v184(constB78)) | (~v208(constB78))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16989,plain,
% 13.64/9.76 ((~(v207(constB78) <=> (~((~v184(constB78)) | (~v208(constB78)))))) | (~v207(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16988, 16987])).
% 13.64/9.76 tff(16990,plain,
% 13.64/9.76 (~v207(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16989, 16973])).
% 13.64/9.76 tff(16991,plain,
% 13.64/9.76 (((~v186(constB78)) | (~v207(constB78))) | v207(constB78)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16992,plain,
% 13.64/9.76 ((~v186(constB78)) | (~v207(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16991, 16990])).
% 13.64/9.76 tff(16993,plain,
% 13.64/9.76 ((~(v206(constB78) <=> (~((~v186(constB78)) | (~v207(constB78)))))) | (~v206(constB78)) | (~((~v186(constB78)) | (~v207(constB78))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16994,plain,
% 13.64/9.76 (~v206(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16993, 16992, 16966])).
% 13.64/9.76 tff(16995,plain,
% 13.64/9.76 (((~v191(constB78)) | (~v206(constB78))) | v206(constB78)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16996,plain,
% 13.64/9.76 ((~v191(constB78)) | (~v206(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16995, 16994])).
% 13.64/9.76 tff(16997,plain,
% 13.64/9.76 ((~(v209(constB78) <=> (~((~v191(constB78)) | (~v206(constB78)))))) | (~v209(constB78)) | (~((~v191(constB78)) | (~v206(constB78))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(16998,plain,
% 13.64/9.76 (~v209(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[16997, 16996, 16964])).
% 13.64/9.76 tff(16999,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78))))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(17000,plain,
% 13.64/9.76 ((v205(constB78) <=> (~((~v206(constB78)) | (~v158(constB78))))) <=> (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78)))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(17001,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v206(constB78)) | (~v158(constB78)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78))))))),
% 13.64/9.76 inference(monotonicity,[status(thm)],[17000])).
% 13.64/9.76 tff(17002,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v206(constB78)) | (~v158(constB78)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78))))))),
% 13.64/9.76 inference(transitivity,[status(thm)],[17001, 16999])).
% 13.64/9.76 tff(17003,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v206(constB78)) | (~v158(constB78)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17004,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78)))))),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 13.64/9.76 tff(17005,plain,
% 13.64/9.76 (v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17004, 2502])).
% 13.64/9.76 tff(17006,plain,
% 13.64/9.76 (((~v158(constB78)) | (~v206(constB78))) | v206(constB78)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17007,plain,
% 13.64/9.76 ((~v158(constB78)) | (~v206(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17006, 16994])).
% 13.64/9.76 tff(17008,plain,
% 13.64/9.76 ((~(v205(constB78) <=> (~((~v158(constB78)) | (~v206(constB78)))))) | (~v205(constB78)) | (~((~v158(constB78)) | (~v206(constB78))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17009,plain,
% 13.64/9.76 (~v205(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17008, 17007, 17005])).
% 13.64/9.76 tff(17010,plain,
% 13.64/9.76 ((~(v205(constB78) | v209(constB78))) | v205(constB78) | v209(constB78)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17011,plain,
% 13.64/9.76 (~(v205(constB78) | v209(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17010, 17009, 16998])).
% 13.64/9.76 tff(17012,plain,
% 13.64/9.76 ((~(v204(constB78) <=> (v205(constB78) | v209(constB78)))) | (~v204(constB78)) | (v205(constB78) | v209(constB78))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17013,plain,
% 13.64/9.76 ((~(v204(constB78) <=> (v205(constB78) | v209(constB78)))) | (~v204(constB78))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17012, 17011])).
% 13.64/9.76 tff(17014,plain,
% 13.64/9.76 (~v204(constB78)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17013, 16957])).
% 13.64/9.76 tff(17015,plain,
% 13.64/9.76 ($false),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17014, 16955])).
% 13.64/9.76 tff(17016,plain,(~(constB78 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 13.64/9.76 tff(17017,assumption,(constB52 = VarCurr!0), introduced(assumption)).
% 13.64/9.76 tff(17018,plain,
% 13.64/9.76 (v204(constB52) <=> v204(VarCurr!0)),
% 13.64/9.76 inference(monotonicity,[status(thm)],[17017])).
% 13.64/9.76 tff(17019,plain,
% 13.64/9.76 (v204(VarCurr!0) <=> v204(constB52)),
% 13.64/9.76 inference(symmetry,[status(thm)],[17018])).
% 13.64/9.76 tff(17020,plain,
% 13.64/9.76 (v204(constB52)),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[27, 17019])).
% 13.64/9.76 tff(17021,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB52) <=> (v205(constB52) | v209(constB52)))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17022,plain,
% 13.64/9.76 (v204(constB52) <=> (v205(constB52) | v209(constB52))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17021, 35])).
% 13.64/9.76 tff(17023,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52))))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(17024,plain,
% 13.64/9.76 ((v209(constB52) <=> (~((~v206(constB52)) | (~v191(constB52))))) <=> (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52)))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(17025,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v206(constB52)) | (~v191(constB52)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52))))))),
% 13.64/9.76 inference(monotonicity,[status(thm)],[17024])).
% 13.64/9.76 tff(17026,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v206(constB52)) | (~v191(constB52)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52))))))),
% 13.64/9.76 inference(transitivity,[status(thm)],[17025, 17023])).
% 13.64/9.76 tff(17027,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v206(constB52)) | (~v191(constB52)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17028,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52)))))),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[17027, 17026])).
% 13.64/9.76 tff(17029,plain,
% 13.64/9.76 (v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17028, 47])).
% 13.64/9.76 tff(17030,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB52) <=> (~((~v186(constB52)) | (~v207(constB52)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17031,plain,
% 13.64/9.76 (v206(constB52) <=> (~((~v186(constB52)) | (~v207(constB52))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17030, 16227])).
% 13.64/9.76 tff(17032,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52))))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(17033,plain,
% 13.64/9.76 ((v207(constB52) <=> (~((~v208(constB52)) | (~v184(constB52))))) <=> (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52)))))),
% 13.64/9.76 inference(rewrite,[status(thm)],[])).
% 13.64/9.76 tff(17034,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v208(constB52)) | (~v184(constB52)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52))))))),
% 13.64/9.76 inference(monotonicity,[status(thm)],[17033])).
% 13.64/9.76 tff(17035,plain,
% 13.64/9.76 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v208(constB52)) | (~v184(constB52)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52))))))),
% 13.64/9.76 inference(transitivity,[status(thm)],[17034, 17032])).
% 13.64/9.76 tff(17036,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v208(constB52)) | (~v184(constB52)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17037,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52)))))),
% 13.64/9.76 inference(modus_ponens,[status(thm)],[17036, 17035])).
% 13.64/9.76 tff(17038,plain,
% 13.64/9.76 (v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17037, 16239])).
% 13.64/9.76 tff(17039,plain,
% 13.64/9.76 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17040,plain,
% 13.64/9.76 (v184(constB52) <=> (~((~v39(constB52)) | (~v9(constB52))))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17039, 138])).
% 13.64/9.76 tff(17041,plain,
% 13.64/9.76 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB52)) <=> v1(constB52))),
% 13.64/9.76 inference(quant_inst,[status(thm)],[])).
% 13.64/9.76 tff(17042,plain,
% 13.64/9.76 ((~v39(constB52)) <=> v1(constB52)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17041, 147])).
% 13.64/9.76 tff(17043,plain,
% 13.64/9.76 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52)) | (~v1(constB52))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17044,plain,
% 13.64/9.76 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17043, 6106])).
% 13.64/9.76 tff(17045,plain,
% 13.64/9.76 (~v39(constB52)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17044, 17042])).
% 13.64/9.76 tff(17046,plain,
% 13.64/9.76 (((~v39(constB52)) | (~v9(constB52))) | v39(constB52)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17047,plain,
% 13.64/9.76 ((~v39(constB52)) | (~v9(constB52))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17046, 17045])).
% 13.64/9.76 tff(17048,plain,
% 13.64/9.76 ((~(v184(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v184(constB52)) | (~((~v39(constB52)) | (~v9(constB52))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17049,plain,
% 13.64/9.76 ((~(v184(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v184(constB52))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17048, 17047])).
% 13.64/9.76 tff(17050,plain,
% 13.64/9.76 (~v184(constB52)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17049, 17040])).
% 13.64/9.76 tff(17051,plain,
% 13.64/9.76 (((~v184(constB52)) | (~v208(constB52))) | v184(constB52)),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17052,plain,
% 13.64/9.76 ((~v184(constB52)) | (~v208(constB52))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17051, 17050])).
% 13.64/9.76 tff(17053,plain,
% 13.64/9.76 ((~(v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52)))))) | (~v207(constB52)) | (~((~v184(constB52)) | (~v208(constB52))))),
% 13.64/9.76 inference(tautology,[status(thm)],[])).
% 13.64/9.76 tff(17054,plain,
% 13.64/9.76 ((~(v207(constB52) <=> (~((~v184(constB52)) | (~v208(constB52)))))) | (~v207(constB52))),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17053, 17052])).
% 13.64/9.76 tff(17055,plain,
% 13.64/9.76 (~v207(constB52)),
% 13.64/9.76 inference(unit_resolution,[status(thm)],[17054, 17038])).
% 13.64/9.76 tff(17056,plain,
% 13.64/9.76 (((~v186(constB52)) | (~v207(constB52))) | v207(constB52)),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17057,plain,
% 13.64/9.77 ((~v186(constB52)) | (~v207(constB52))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17056, 17055])).
% 13.64/9.77 tff(17058,plain,
% 13.64/9.77 ((~(v206(constB52) <=> (~((~v186(constB52)) | (~v207(constB52)))))) | (~v206(constB52)) | (~((~v186(constB52)) | (~v207(constB52))))),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17059,plain,
% 13.64/9.77 (~v206(constB52)),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17058, 17057, 17031])).
% 13.64/9.77 tff(17060,plain,
% 13.64/9.77 (((~v191(constB52)) | (~v206(constB52))) | v206(constB52)),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17061,plain,
% 13.64/9.77 ((~v191(constB52)) | (~v206(constB52))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17060, 17059])).
% 13.64/9.77 tff(17062,plain,
% 13.64/9.77 ((~(v209(constB52) <=> (~((~v191(constB52)) | (~v206(constB52)))))) | (~v209(constB52)) | (~((~v191(constB52)) | (~v206(constB52))))),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17063,plain,
% 13.64/9.77 (~v209(constB52)),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17062, 17061, 17029])).
% 13.64/9.77 tff(17064,plain,
% 13.64/9.77 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52))))))),
% 13.64/9.77 inference(rewrite,[status(thm)],[])).
% 13.64/9.77 tff(17065,plain,
% 13.64/9.77 ((v205(constB52) <=> (~((~v206(constB52)) | (~v158(constB52))))) <=> (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52)))))),
% 13.64/9.77 inference(rewrite,[status(thm)],[])).
% 13.64/9.77 tff(17066,plain,
% 13.64/9.77 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v206(constB52)) | (~v158(constB52)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52))))))),
% 13.64/9.77 inference(monotonicity,[status(thm)],[17065])).
% 13.64/9.77 tff(17067,plain,
% 13.64/9.77 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v206(constB52)) | (~v158(constB52)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52))))))),
% 13.64/9.77 inference(transitivity,[status(thm)],[17066, 17064])).
% 13.64/9.77 tff(17068,plain,
% 13.64/9.77 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v206(constB52)) | (~v158(constB52)))))),
% 13.64/9.77 inference(quant_inst,[status(thm)],[])).
% 13.64/9.77 tff(17069,plain,
% 13.64/9.77 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52)))))),
% 13.64/9.77 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 13.64/9.77 tff(17070,plain,
% 13.64/9.77 (v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52))))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17069, 2502])).
% 13.64/9.77 tff(17071,plain,
% 13.64/9.77 (((~v158(constB52)) | (~v206(constB52))) | v206(constB52)),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17072,plain,
% 13.64/9.77 ((~v158(constB52)) | (~v206(constB52))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17071, 17059])).
% 13.64/9.77 tff(17073,plain,
% 13.64/9.77 ((~(v205(constB52) <=> (~((~v158(constB52)) | (~v206(constB52)))))) | (~v205(constB52)) | (~((~v158(constB52)) | (~v206(constB52))))),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17074,plain,
% 13.64/9.77 (~v205(constB52)),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17073, 17072, 17070])).
% 13.64/9.77 tff(17075,plain,
% 13.64/9.77 ((~(v205(constB52) | v209(constB52))) | v205(constB52) | v209(constB52)),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17076,plain,
% 13.64/9.77 (~(v205(constB52) | v209(constB52))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17075, 17074, 17063])).
% 13.64/9.77 tff(17077,plain,
% 13.64/9.77 ((~(v204(constB52) <=> (v205(constB52) | v209(constB52)))) | (~v204(constB52)) | (v205(constB52) | v209(constB52))),
% 13.64/9.77 inference(tautology,[status(thm)],[])).
% 13.64/9.77 tff(17078,plain,
% 13.64/9.77 ((~(v204(constB52) <=> (v205(constB52) | v209(constB52)))) | (~v204(constB52))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17077, 17076])).
% 13.64/9.77 tff(17079,plain,
% 13.64/9.77 (~v204(constB52)),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17078, 17022])).
% 13.64/9.77 tff(17080,plain,
% 13.64/9.77 ($false),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17079, 17020])).
% 13.64/9.77 tff(17081,plain,(~(constB52 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 13.64/9.77 tff(17082,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 13.64/9.77 tff(17083,plain,
% 13.64/9.77 (v204(constB9) <=> v204(VarCurr!0)),
% 13.64/9.77 inference(monotonicity,[status(thm)],[17082])).
% 13.64/9.77 tff(17084,plain,
% 13.64/9.77 (v204(VarCurr!0) <=> v204(constB9)),
% 13.64/9.77 inference(symmetry,[status(thm)],[17083])).
% 13.64/9.77 tff(17085,plain,
% 13.64/9.77 (v204(constB9)),
% 13.64/9.77 inference(modus_ponens,[status(thm)],[27, 17084])).
% 13.64/9.77 tff(17086,plain,
% 13.64/9.77 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB9) <=> (v205(constB9) | v209(constB9)))),
% 13.64/9.77 inference(quant_inst,[status(thm)],[])).
% 13.64/9.77 tff(17087,plain,
% 13.64/9.77 (v204(constB9) <=> (v205(constB9) | v209(constB9))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17086, 35])).
% 13.64/9.77 tff(17088,plain,
% 13.64/9.77 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9))))))),
% 13.64/9.77 inference(rewrite,[status(thm)],[])).
% 13.64/9.77 tff(17089,plain,
% 13.64/9.77 ((v209(constB9) <=> (~((~v206(constB9)) | (~v191(constB9))))) <=> (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9)))))),
% 13.64/9.77 inference(rewrite,[status(thm)],[])).
% 13.64/9.77 tff(17090,plain,
% 13.64/9.77 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v206(constB9)) | (~v191(constB9)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9))))))),
% 13.64/9.77 inference(monotonicity,[status(thm)],[17089])).
% 13.64/9.77 tff(17091,plain,
% 13.64/9.77 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v206(constB9)) | (~v191(constB9)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9))))))),
% 13.64/9.77 inference(transitivity,[status(thm)],[17090, 17088])).
% 13.64/9.77 tff(17092,plain,
% 13.64/9.77 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v206(constB9)) | (~v191(constB9)))))),
% 13.64/9.77 inference(quant_inst,[status(thm)],[])).
% 13.64/9.77 tff(17093,plain,
% 13.64/9.77 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9)))))),
% 13.64/9.77 inference(modus_ponens,[status(thm)],[17092, 17091])).
% 13.64/9.77 tff(17094,plain,
% 13.64/9.77 (v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9))))),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17093, 47])).
% 13.64/9.77 tff(17095,plain,
% 13.64/9.77 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB9) <=> v196(constB9))),
% 13.64/9.77 inference(quant_inst,[status(thm)],[])).
% 13.64/9.77 tff(17096,plain,
% 13.64/9.77 (v191(constB9) <=> v196(constB9)),
% 13.64/9.77 inference(unit_resolution,[status(thm)],[17095, 64])).
% 13.64/9.77 tff(17097,plain,
% 13.64/9.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB8, constB9)) | (v196(constB9) <=> v194(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB8, constB9)) | (v196(constB9) <=> v194(constB8)))),
% 13.64/9.77 inference(rewrite,[status(thm)],[])).
% 13.64/9.77 tff(17098,plain,
% 13.64/9.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB8, constB9)) | (v196(constB9) <=> v194(constB8)))),
% 13.64/9.77 inference(quant_inst,[status(thm)],[])).
% 13.64/9.77 tff(17099,plain,
% 13.64/9.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB8, constB9)) | (v196(constB9) <=> v194(constB8))),
% 13.64/9.77 inference(modus_ponens,[status(thm)],[17098, 17097])).
% 13.64/9.77 tff(17100,plain,
% 13.73/9.77 (v196(constB9) <=> v194(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17099, 797, 76])).
% 13.73/9.77 tff(17101,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB8) <=> (v197(constB8) | v198(constB8)))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17102,plain,
% 13.73/9.77 (v194(constB8) <=> (v197(constB8) | v198(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17101, 90])).
% 13.73/9.77 tff(17103,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB8) <=> (~((~v158(constB8)) | (~v199(constB8)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17104,plain,
% 13.73/9.77 (v198(constB8) <=> (~((~v158(constB8)) | (~v199(constB8))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17103, 102])).
% 13.73/9.77 tff(17105,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB8) <=> (~((~v186(constB8)) | (~v200(constB8)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17106,plain,
% 13.73/9.77 (v199(constB8) <=> (~((~v186(constB8)) | (~v200(constB8))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17105, 114])).
% 13.73/9.77 tff(17107,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB8) <=> (~((~v184(constB8)) | (~v84(constB8)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17108,plain,
% 13.73/9.77 (v200(constB8) <=> (~((~v184(constB8)) | (~v84(constB8))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17107, 126])).
% 13.73/9.77 tff(17109,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17110,plain,
% 13.73/9.77 (v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17109, 138])).
% 13.73/9.77 tff(17111,plain,
% 13.73/9.77 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB8)) <=> v1(constB8))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17112,plain,
% 13.73/9.77 ((~v39(constB8)) <=> v1(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17111, 147])).
% 13.73/9.77 tff(17113,plain,
% 13.73/9.77 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8)) | (~v1(constB8))),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17114,plain,
% 13.73/9.77 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17113, 859])).
% 13.73/9.77 tff(17115,plain,
% 13.73/9.77 (~v39(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17114, 17112])).
% 13.73/9.77 tff(17116,plain,
% 13.73/9.77 (((~v39(constB8)) | (~v9(constB8))) | v39(constB8)),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17117,plain,
% 13.73/9.77 ((~v39(constB8)) | (~v9(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17116, 17115])).
% 13.73/9.77 tff(17118,plain,
% 13.73/9.77 ((~(v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v184(constB8)) | (~((~v39(constB8)) | (~v9(constB8))))),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17119,plain,
% 13.73/9.77 ((~(v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v184(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17118, 17117])).
% 13.73/9.77 tff(17120,plain,
% 13.73/9.77 (~v184(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17119, 17110])).
% 13.73/9.77 tff(17121,plain,
% 13.73/9.77 (((~v184(constB8)) | (~v84(constB8))) | v184(constB8)),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17122,plain,
% 13.73/9.77 ((~v184(constB8)) | (~v84(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17121, 17120])).
% 13.73/9.77 tff(17123,plain,
% 13.73/9.77 ((~(v200(constB8) <=> (~((~v184(constB8)) | (~v84(constB8)))))) | (~v200(constB8)) | (~((~v184(constB8)) | (~v84(constB8))))),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17124,plain,
% 13.73/9.77 ((~(v200(constB8) <=> (~((~v184(constB8)) | (~v84(constB8)))))) | (~v200(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17123, 17122])).
% 13.73/9.77 tff(17125,plain,
% 13.73/9.77 (~v200(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17124, 17108])).
% 13.73/9.77 tff(17126,plain,
% 13.73/9.77 (((~v186(constB8)) | (~v200(constB8))) | v200(constB8)),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17127,plain,
% 13.73/9.77 ((~v186(constB8)) | (~v200(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17126, 17125])).
% 13.73/9.77 tff(17128,plain,
% 13.73/9.77 ((~(v199(constB8) <=> (~((~v186(constB8)) | (~v200(constB8)))))) | (~v199(constB8)) | (~((~v186(constB8)) | (~v200(constB8))))),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17129,plain,
% 13.73/9.77 (~v199(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17128, 17127, 17106])).
% 13.73/9.77 tff(17130,plain,
% 13.73/9.77 (((~v158(constB8)) | (~v199(constB8))) | v199(constB8)),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17131,plain,
% 13.73/9.77 ((~v158(constB8)) | (~v199(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17130, 17129])).
% 13.73/9.77 tff(17132,plain,
% 13.73/9.77 ((~(v198(constB8) <=> (~((~v158(constB8)) | (~v199(constB8)))))) | (~v198(constB8)) | (~((~v158(constB8)) | (~v199(constB8))))),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17133,plain,
% 13.73/9.77 (~v198(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17132, 17131, 17104])).
% 13.73/9.77 tff(17134,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB8) <=> (~((~v182(constB8)) | (~v191(constB8)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17135,plain,
% 13.73/9.77 (v197(constB8) <=> (~((~v182(constB8)) | (~v191(constB8))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17134, 183])).
% 13.73/9.77 tff(17136,plain,
% 13.73/9.77 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB8) <=> v196(constB8))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17137,plain,
% 13.73/9.77 (v191(constB8) <=> v196(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17136, 64])).
% 13.73/9.77 tff(17138,plain,
% 13.73/9.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB7, constB8)) | (v196(constB8) <=> v194(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB7, constB8)) | (v196(constB8) <=> v194(constB7)))),
% 13.73/9.77 inference(rewrite,[status(thm)],[])).
% 13.73/9.77 tff(17139,plain,
% 13.73/9.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB7, constB8)) | (v196(constB8) <=> v194(constB7)))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17140,plain,
% 13.73/9.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB7, constB8)) | (v196(constB8) <=> v194(constB7))),
% 13.73/9.77 inference(modus_ponens,[status(thm)],[17139, 17138])).
% 13.73/9.77 tff(17141,plain,
% 13.73/9.77 (v196(constB8) <=> v194(constB7)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17140, 829, 76])).
% 13.73/9.77 tff(17142,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB7) <=> (v197(constB7) | v198(constB7)))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17143,plain,
% 13.73/9.77 (v194(constB7) <=> (v197(constB7) | v198(constB7))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17142, 90])).
% 13.73/9.77 tff(17144,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB7) <=> (~((~v182(constB7)) | (~v191(constB7)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17145,plain,
% 13.73/9.77 (v197(constB7) <=> (~((~v182(constB7)) | (~v191(constB7))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17144, 183])).
% 13.73/9.77 tff(17146,plain,
% 13.73/9.77 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB7)) <=> v183(constB7))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17147,plain,
% 13.73/9.77 ((~v182(constB7)) <=> v183(constB7)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17146, 205])).
% 13.73/9.77 tff(17148,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB7) <=> (v184(constB7) | v26(constB7)))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17149,plain,
% 13.73/9.77 (v183(constB7) <=> (v184(constB7) | v26(constB7))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17148, 214])).
% 13.73/9.77 tff(17150,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17151,plain,
% 13.73/9.77 (v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17150, 138])).
% 13.73/9.77 tff(17152,plain,
% 13.73/9.77 (((~![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)))),
% 13.73/9.77 inference(rewrite,[status(thm)],[])).
% 13.73/9.77 tff(17153,plain,
% 13.73/9.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17154,plain,
% 13.73/9.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7))),
% 13.73/9.77 inference(modus_ponens,[status(thm)],[17153, 17152])).
% 13.73/9.77 tff(17155,plain,
% 13.73/9.77 (v13(constB8) <=> v9(constB7)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17154, 829, 228])).
% 13.73/9.77 tff(17156,plain,
% 13.73/9.77 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB8) <=> v13(constB8))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17157,plain,
% 13.73/9.77 (v6(constB8) <=> v13(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17156, 242])).
% 13.73/9.77 tff(17158,plain,
% 13.73/9.77 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB8)) <=> v6(constB8))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17159,plain,
% 13.73/9.77 ((~v21(constB8)) <=> v6(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17158, 251])).
% 13.73/9.77 tff(17160,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB8) <=> (v20(constB8) | v21(constB8)))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17161,plain,
% 13.73/9.77 (v19(constB8) <=> (v20(constB8) | v21(constB8))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17160, 260])).
% 13.73/9.77 tff(17162,plain,
% 13.73/9.77 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17163,plain,
% 13.73/9.77 (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8))))),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17162, 272])).
% 13.73/9.77 tff(17164,plain,
% 13.73/9.77 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB8)) <=> v18(constB8))),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17165,plain,
% 13.73/9.77 ((~v4(constB8)) <=> v18(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17164, 281])).
% 13.73/9.77 tff(17166,plain,
% 13.73/9.77 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB8)),
% 13.73/9.77 inference(quant_inst,[status(thm)],[])).
% 13.73/9.77 tff(17167,plain,
% 13.73/9.77 (v4(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17166, 290])).
% 13.73/9.77 tff(17168,plain,
% 13.73/9.77 ((~((~v4(constB8)) <=> v18(constB8))) | (~v4(constB8)) | (~v18(constB8))),
% 13.73/9.77 inference(tautology,[status(thm)],[])).
% 13.73/9.77 tff(17169,plain,
% 13.73/9.77 (~v18(constB8)),
% 13.73/9.77 inference(unit_resolution,[status(thm)],[17168, 17167, 17165])).
% 13.73/9.77 tff(17170,plain,
% 13.73/9.78 ((~(v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))) | v18(constB8) | ((~v19(constB8)) | (~v22(constB8)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17171,plain,
% 13.73/9.78 ((~v19(constB8)) | (~v22(constB8))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17170, 17169, 17163])).
% 13.73/9.78 tff(17172,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB8) <=> (v1(constB8) | v6(constB8)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17173,plain,
% 13.73/9.78 (v22(constB8) <=> (v1(constB8) | v6(constB8))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17172, 303])).
% 13.73/9.78 tff(17174,plain,
% 13.73/9.78 ((v1(constB8) | v6(constB8)) | (~v1(constB8))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17175,plain,
% 13.73/9.78 (v1(constB8) | v6(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17174, 859])).
% 13.73/9.78 tff(17176,plain,
% 13.73/9.78 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8) | (~(v1(constB8) | v6(constB8)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17177,plain,
% 13.73/9.78 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17176, 17175])).
% 13.73/9.78 tff(17178,plain,
% 13.73/9.78 (v22(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17177, 17173])).
% 13.73/9.78 tff(17179,plain,
% 13.73/9.78 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8)) | (~v22(constB8))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17180,plain,
% 13.73/9.78 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17179, 17178])).
% 13.73/9.78 tff(17181,plain,
% 13.73/9.78 (~v19(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17180, 17171])).
% 13.73/9.78 tff(17182,plain,
% 13.73/9.78 ((~(v19(constB8) <=> (v20(constB8) | v21(constB8)))) | v19(constB8) | (~(v20(constB8) | v21(constB8)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17183,plain,
% 13.73/9.78 (~(v20(constB8) | v21(constB8))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17182, 17181, 17161])).
% 13.73/9.78 tff(17184,plain,
% 13.73/9.78 ((v20(constB8) | v21(constB8)) | (~v21(constB8))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17185,plain,
% 13.73/9.78 (~v21(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17184, 17183])).
% 13.73/9.78 tff(17186,plain,
% 13.73/9.78 ((~((~v21(constB8)) <=> v6(constB8))) | v21(constB8) | v6(constB8)),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17187,plain,
% 13.73/9.78 (v6(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17186, 17185, 17159])).
% 13.73/9.78 tff(17188,plain,
% 13.73/9.78 ((~(v6(constB8) <=> v13(constB8))) | (~v6(constB8)) | v13(constB8)),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17189,plain,
% 13.73/9.78 (v13(constB8)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17188, 17187, 17157])).
% 13.73/9.78 tff(17190,plain,
% 13.73/9.78 ((~(v13(constB8) <=> v9(constB7))) | (~v13(constB8)) | v9(constB7)),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17191,plain,
% 13.73/9.78 (v9(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17190, 17189, 17155])).
% 13.73/9.78 tff(17192,plain,
% 13.73/9.78 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB7)) <=> v1(constB7))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17193,plain,
% 13.73/9.78 ((~v39(constB7)) <=> v1(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17192, 147])).
% 13.73/9.78 tff(17194,plain,
% 13.73/9.78 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7) | v1(constB7)),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17195,plain,
% 13.73/9.78 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17194, 851])).
% 13.73/9.78 tff(17196,plain,
% 13.73/9.78 (v39(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17195, 17193])).
% 13.73/9.78 tff(17197,plain,
% 13.73/9.78 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v39(constB7)) | (~v9(constB7))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17198,plain,
% 13.73/9.78 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v9(constB7))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17197, 17196])).
% 13.73/9.78 tff(17199,plain,
% 13.73/9.78 (~((~v39(constB7)) | (~v9(constB7)))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17198, 17191])).
% 13.73/9.78 tff(17200,plain,
% 13.73/9.78 ((~(v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))) | v184(constB7) | ((~v39(constB7)) | (~v9(constB7)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17201,plain,
% 13.73/9.78 (v184(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17200, 17199, 17151])).
% 13.73/9.78 tff(17202,plain,
% 13.73/9.78 ((v184(constB7) | v26(constB7)) | (~v184(constB7))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17203,plain,
% 13.73/9.78 (v184(constB7) | v26(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17202, 17201])).
% 13.73/9.78 tff(17204,plain,
% 13.73/9.78 ((~(v183(constB7) <=> (v184(constB7) | v26(constB7)))) | v183(constB7) | (~(v184(constB7) | v26(constB7)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17205,plain,
% 13.73/9.78 (v183(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17204, 17203, 17149])).
% 13.73/9.78 tff(17206,plain,
% 13.73/9.78 ((~((~v182(constB7)) <=> v183(constB7))) | (~v182(constB7)) | (~v183(constB7))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17207,plain,
% 13.73/9.78 (~v182(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17206, 17205, 17147])).
% 13.73/9.78 tff(17208,plain,
% 13.73/9.78 (((~v182(constB7)) | (~v191(constB7))) | v182(constB7)),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17209,plain,
% 13.73/9.78 ((~v182(constB7)) | (~v191(constB7))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17208, 17207])).
% 13.73/9.78 tff(17210,plain,
% 13.73/9.78 ((~(v197(constB7) <=> (~((~v182(constB7)) | (~v191(constB7)))))) | (~v197(constB7)) | (~((~v182(constB7)) | (~v191(constB7))))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17211,plain,
% 13.73/9.78 (~v197(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17210, 17209, 17145])).
% 13.73/9.78 tff(17212,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB7) <=> (~((~v158(constB7)) | (~v199(constB7)))))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17213,plain,
% 13.73/9.78 (v198(constB7) <=> (~((~v158(constB7)) | (~v199(constB7))))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17212, 102])).
% 13.73/9.78 tff(17214,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB7) <=> (~((~v186(constB7)) | (~v200(constB7)))))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17215,plain,
% 13.73/9.78 (v199(constB7) <=> (~((~v186(constB7)) | (~v200(constB7))))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17214, 114])).
% 13.73/9.78 tff(17216,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB7) <=> (~((~v184(constB7)) | (~v84(constB7)))))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17217,plain,
% 13.73/9.78 (v200(constB7) <=> (~((~v184(constB7)) | (~v84(constB7))))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17216, 126])).
% 13.73/9.78 tff(17218,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB7) <=> v86(constB7))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17219,plain,
% 13.73/9.78 (v84(constB7) <=> v86(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17218, 16262])).
% 13.73/9.78 tff(17220,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB7) <=> (v142(constB7) | v151(constB7)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17221,plain,
% 13.73/9.78 (v149(constB7) <=> (v142(constB7) | v151(constB7))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17220, 16829])).
% 13.73/9.78 tff(17222,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB7) <=> (v141(constB7) | v152(constB7)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17223,plain,
% 13.73/9.78 (v151(constB7) <=> (v141(constB7) | v152(constB7))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17222, 16864])).
% 13.73/9.78 tff(17224,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17225,plain,
% 13.73/9.78 (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0))))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17224, 564])).
% 13.73/9.78 tff(17226,plain,
% 13.73/9.78 (((~![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)))),
% 13.73/9.78 inference(rewrite,[status(thm)],[])).
% 13.73/9.78 tff(17227,plain,
% 13.73/9.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17228,plain,
% 13.73/9.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17227, 17226])).
% 13.73/9.78 tff(17229,plain,
% 13.73/9.78 (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17228, 579, 576])).
% 13.73/9.78 tff(17230,plain,
% 13.73/9.78 ((~(v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2))) | (~v88(constB7, bitIndex2)) | v90(constB7, bitIndex2)),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17231,plain,
% 13.73/9.78 (~v88(constB7, bitIndex2)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17230, 1855, 17229])).
% 13.73/9.78 tff(17232,plain,
% 13.73/9.78 (((~![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)))),
% 13.73/9.78 inference(rewrite,[status(thm)],[])).
% 13.73/9.78 tff(17233,plain,
% 13.73/9.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17234,plain,
% 13.73/9.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 13.73/9.78 tff(17235,plain,
% 13.73/9.78 (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17234, 1275, 576])).
% 13.73/9.78 tff(17236,plain,
% 13.73/9.78 ((~(v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0))) | v88(constB7, bitIndex0) | (~v90(constB7, bitIndex0))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17237,plain,
% 13.73/9.78 (v88(constB7, bitIndex0)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17236, 1889, 17235])).
% 13.73/9.78 tff(17238,plain,
% 13.73/9.78 (((~![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)))),
% 13.73/9.78 inference(rewrite,[status(thm)],[])).
% 13.73/9.78 tff(17239,plain,
% 13.73/9.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17240,plain,
% 13.73/9.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 13.73/9.78 tff(17241,plain,
% 13.73/9.78 (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17240, 1288, 576])).
% 13.73/9.78 tff(17242,plain,
% 13.73/9.78 ((~(v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1))) | v88(constB7, bitIndex1) | (~v90(constB7, bitIndex1))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17243,plain,
% 13.73/9.78 (v88(constB7, bitIndex1)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17242, 1923, 17241])).
% 13.73/9.78 tff(17244,plain,
% 13.73/9.78 ((~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17245,plain,
% 13.73/9.78 (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17244, 17243, 17237, 17231])).
% 13.73/9.78 tff(17246,plain,
% 13.73/9.78 ((~(v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))) | v141(constB7) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17247,plain,
% 13.73/9.78 (v141(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17246, 17245, 17225])).
% 13.73/9.78 tff(17248,plain,
% 13.73/9.78 ((v141(constB7) | v152(constB7)) | (~v141(constB7))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17249,plain,
% 13.73/9.78 (v141(constB7) | v152(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17248, 17247])).
% 13.73/9.78 tff(17250,plain,
% 13.73/9.78 ((~(v151(constB7) <=> (v141(constB7) | v152(constB7)))) | v151(constB7) | (~(v141(constB7) | v152(constB7)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17251,plain,
% 13.73/9.78 (v151(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17250, 17249, 17223])).
% 13.73/9.78 tff(17252,plain,
% 13.73/9.78 ((v142(constB7) | v151(constB7)) | (~v151(constB7))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17253,plain,
% 13.73/9.78 (v142(constB7) | v151(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17252, 17251])).
% 13.73/9.78 tff(17254,plain,
% 13.73/9.78 ((~(v149(constB7) <=> (v142(constB7) | v151(constB7)))) | v149(constB7) | (~(v142(constB7) | v151(constB7)))),
% 13.73/9.78 inference(tautology,[status(thm)],[])).
% 13.73/9.78 tff(17255,plain,
% 13.73/9.78 (v149(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17254, 17253, 17221])).
% 13.73/9.78 tff(17256,plain,
% 13.73/9.78 (^[VarCurr: $i] : refl(((~v149(VarCurr)) | (~v148(VarCurr))) <=> ((~v149(VarCurr)) | (~v148(VarCurr))))),
% 13.73/9.78 inference(bind,[status(th)],[])).
% 13.73/9.78 tff(17257,plain,
% 13.73/9.78 (![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(quant_intro,[status(thm)],[17256])).
% 13.73/9.78 tff(17258,plain,
% 13.73/9.78 (![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(rewrite,[status(thm)],[])).
% 13.73/9.78 tff(17259,plain,
% 13.73/9.78 (^[VarCurr: $i] : trans(monotonicity(rewrite((v148(VarCurr) <=> $false) <=> (~v148(VarCurr))), ((v149(VarCurr) => (v148(VarCurr) <=> $false)) <=> (v149(VarCurr) => (~v148(VarCurr))))), rewrite((v149(VarCurr) => (~v148(VarCurr))) <=> ((~v149(VarCurr)) | (~v148(VarCurr)))), ((v149(VarCurr) => (v148(VarCurr) <=> $false)) <=> ((~v149(VarCurr)) | (~v148(VarCurr)))))),
% 13.73/9.78 inference(bind,[status(th)],[])).
% 13.73/9.78 tff(17260,plain,
% 13.73/9.78 (![VarCurr: $i] : (v149(VarCurr) => (v148(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(quant_intro,[status(thm)],[17259])).
% 13.73/9.78 tff(17261,axiom,(![VarCurr: $i] : (v149(VarCurr) => (v148(VarCurr) <=> $false))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2')).
% 13.73/9.78 tff(17262,plain,
% 13.73/9.78 (![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 13.73/9.78 tff(17263,plain,
% 13.73/9.78 (![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17262, 17258])).
% 13.73/9.78 tff(17264,plain,(
% 13.73/9.78 ![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(skolemize,[status(sab)],[17263])).
% 13.73/9.78 tff(17265,plain,
% 13.73/9.78 (![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17264, 17257])).
% 13.73/9.78 tff(17266,plain,
% 13.73/9.78 (((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | ((~v149(constB7)) | (~v148(constB7)))) <=> ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | (~v149(constB7)) | (~v148(constB7)))),
% 13.73/9.78 inference(rewrite,[status(thm)],[])).
% 13.73/9.78 tff(17267,plain,
% 13.73/9.78 ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | ((~v149(constB7)) | (~v148(constB7)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17268,plain,
% 13.73/9.78 ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | (~v149(constB7)) | (~v148(constB7))),
% 13.73/9.78 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 13.73/9.78 tff(17269,plain,
% 13.73/9.78 ((~v149(constB7)) | (~v148(constB7))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17268, 17265])).
% 13.73/9.78 tff(17270,plain,
% 13.73/9.78 (~v148(constB7)),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17269, 17255])).
% 13.73/9.78 tff(17271,plain,
% 13.73/9.78 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB7) <=> (v136(constB7) | v145(constB7)))),
% 13.73/9.78 inference(quant_inst,[status(thm)],[])).
% 13.73/9.78 tff(17272,plain,
% 13.73/9.78 (v135(constB7) <=> (v136(constB7) | v145(constB7))),
% 13.73/9.78 inference(unit_resolution,[status(thm)],[17271, 16271])).
% 13.73/9.78 tff(17273,plain,
% 13.73/9.78 (^[VarCurr: $i] : refl((v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))))),
% 13.73/9.78 inference(bind,[status(th)],[])).
% 13.73/9.78 tff(17274,plain,
% 13.73/9.78 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 13.73/9.78 inference(quant_intro,[status(thm)],[17273])).
% 13.73/9.78 tff(17275,plain,
% 13.73/9.78 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17276,axiom,(![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31')).
% 13.73/9.79 tff(17277,plain,
% 13.73/9.79 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 13.73/9.79 tff(17278,plain,(
% 13.73/9.79 ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 13.73/9.79 inference(skolemize,[status(sab)],[17277])).
% 13.73/9.79 tff(17279,plain,
% 13.73/9.79 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17278, 17274])).
% 13.73/9.79 tff(17280,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB7) <=> (v137(constB7) | v142(constB7)))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17281,plain,
% 13.73/9.79 (v136(constB7) <=> (v137(constB7) | v142(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17280, 17279])).
% 13.73/9.79 tff(17282,plain,
% 13.73/9.79 (^[VarCurr: $i] : refl((v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr))) <=> (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr))))),
% 13.73/9.79 inference(bind,[status(th)],[])).
% 13.73/9.79 tff(17283,plain,
% 13.73/9.79 (![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))),
% 13.73/9.79 inference(quant_intro,[status(thm)],[17282])).
% 13.73/9.79 tff(17284,plain,
% 13.73/9.79 (![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17285,axiom,(![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_29')).
% 13.73/9.79 tff(17286,plain,
% 13.73/9.79 (![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17285, 17284])).
% 13.73/9.79 tff(17287,plain,(
% 13.73/9.79 ![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))),
% 13.73/9.79 inference(skolemize,[status(sab)],[17286])).
% 13.73/9.79 tff(17288,plain,
% 13.73/9.79 (![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17287, 17283])).
% 13.73/9.79 tff(17289,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))) | (v137(constB7) <=> (v138(constB7) | v141(constB7)))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17290,plain,
% 13.73/9.79 (v137(constB7) <=> (v138(constB7) | v141(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17289, 17288])).
% 13.73/9.79 tff(17291,plain,
% 13.73/9.79 ((v138(constB7) | v141(constB7)) | (~v141(constB7))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17292,plain,
% 13.73/9.79 (v138(constB7) | v141(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17291, 17247])).
% 13.73/9.79 tff(17293,plain,
% 13.73/9.79 ((~(v137(constB7) <=> (v138(constB7) | v141(constB7)))) | v137(constB7) | (~(v138(constB7) | v141(constB7)))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17294,plain,
% 13.73/9.79 (v137(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17293, 17292, 17290])).
% 13.73/9.79 tff(17295,plain,
% 13.73/9.79 ((v137(constB7) | v142(constB7)) | (~v137(constB7))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17296,plain,
% 13.73/9.79 (v137(constB7) | v142(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17295, 17294])).
% 13.73/9.79 tff(17297,plain,
% 13.73/9.79 ((~(v136(constB7) <=> (v137(constB7) | v142(constB7)))) | v136(constB7) | (~(v137(constB7) | v142(constB7)))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17298,plain,
% 13.73/9.79 (v136(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17297, 17296, 17281])).
% 13.73/9.79 tff(17299,plain,
% 13.73/9.79 ((v136(constB7) | v145(constB7)) | (~v136(constB7))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17300,plain,
% 13.73/9.79 (v136(constB7) | v145(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17299, 17298])).
% 13.73/9.79 tff(17301,plain,
% 13.73/9.79 ((~(v135(constB7) <=> (v136(constB7) | v145(constB7)))) | v135(constB7) | (~(v136(constB7) | v145(constB7)))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17302,plain,
% 13.73/9.79 (v135(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17301, 17300, 17272])).
% 13.73/9.79 tff(17303,plain,
% 13.73/9.79 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB7)) | (v86(constB7) <=> v148(constB7)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB7)) | (v86(constB7) <=> v148(constB7)))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17304,plain,
% 13.73/9.79 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB7)) | (v86(constB7) <=> v148(constB7)))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17305,plain,
% 13.73/9.79 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB7)) | (v86(constB7) <=> v148(constB7))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17304, 17303])).
% 13.73/9.79 tff(17306,plain,
% 13.73/9.79 ((~v135(constB7)) | (v86(constB7) <=> v148(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17305, 16814])).
% 13.73/9.79 tff(17307,plain,
% 13.73/9.79 (v86(constB7) <=> v148(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17306, 17302])).
% 13.73/9.79 tff(17308,plain,
% 13.73/9.79 ((~(v86(constB7) <=> v148(constB7))) | (~v86(constB7)) | v148(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17309,plain,
% 13.73/9.79 (~v86(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17308, 17307, 17270])).
% 13.73/9.79 tff(17310,plain,
% 13.73/9.79 ((~(v84(constB7) <=> v86(constB7))) | (~v84(constB7)) | v86(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17311,plain,
% 13.73/9.79 ((~(v84(constB7) <=> v86(constB7))) | (~v84(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17310, 17309])).
% 13.73/9.79 tff(17312,plain,
% 13.73/9.79 (~v84(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17311, 17219])).
% 13.73/9.79 tff(17313,plain,
% 13.73/9.79 (((~v184(constB7)) | (~v84(constB7))) | v84(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17314,plain,
% 13.73/9.79 ((~v184(constB7)) | (~v84(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17313, 17312])).
% 13.73/9.79 tff(17315,plain,
% 13.73/9.79 ((~(v200(constB7) <=> (~((~v184(constB7)) | (~v84(constB7)))))) | (~v200(constB7)) | (~((~v184(constB7)) | (~v84(constB7))))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17316,plain,
% 13.73/9.79 (~v200(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17315, 17314, 17217])).
% 13.73/9.79 tff(17317,plain,
% 13.73/9.79 (((~v186(constB7)) | (~v200(constB7))) | v200(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17318,plain,
% 13.73/9.79 ((~v186(constB7)) | (~v200(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17317, 17316])).
% 13.73/9.79 tff(17319,plain,
% 13.73/9.79 ((~(v199(constB7) <=> (~((~v186(constB7)) | (~v200(constB7)))))) | (~v199(constB7)) | (~((~v186(constB7)) | (~v200(constB7))))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17320,plain,
% 13.73/9.79 (~v199(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17319, 17318, 17215])).
% 13.73/9.79 tff(17321,plain,
% 13.73/9.79 (((~v158(constB7)) | (~v199(constB7))) | v199(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17322,plain,
% 13.73/9.79 ((~v158(constB7)) | (~v199(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17321, 17320])).
% 13.73/9.79 tff(17323,plain,
% 13.73/9.79 ((~(v198(constB7) <=> (~((~v158(constB7)) | (~v199(constB7)))))) | (~v198(constB7)) | (~((~v158(constB7)) | (~v199(constB7))))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17324,plain,
% 13.73/9.79 (~v198(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17323, 17322, 17213])).
% 13.73/9.79 tff(17325,plain,
% 13.73/9.79 ((~(v197(constB7) | v198(constB7))) | v197(constB7) | v198(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17326,plain,
% 13.73/9.79 (~(v197(constB7) | v198(constB7))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17325, 17324, 17211])).
% 13.73/9.79 tff(17327,plain,
% 13.73/9.79 ((~(v194(constB7) <=> (v197(constB7) | v198(constB7)))) | (~v194(constB7)) | (v197(constB7) | v198(constB7))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17328,plain,
% 13.73/9.79 (~v194(constB7)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17327, 17326, 17143])).
% 13.73/9.79 tff(17329,plain,
% 13.73/9.79 ((~(v196(constB8) <=> v194(constB7))) | (~v196(constB8)) | v194(constB7)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17330,plain,
% 13.73/9.79 (~v196(constB8)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17329, 17328, 17141])).
% 13.73/9.79 tff(17331,plain,
% 13.73/9.79 ((~(v191(constB8) <=> v196(constB8))) | (~v191(constB8)) | v196(constB8)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17332,plain,
% 13.73/9.79 (~v191(constB8)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17331, 17330, 17137])).
% 13.73/9.79 tff(17333,plain,
% 13.73/9.79 (((~v182(constB8)) | (~v191(constB8))) | v191(constB8)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17334,plain,
% 13.73/9.79 ((~v182(constB8)) | (~v191(constB8))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17333, 17332])).
% 13.73/9.79 tff(17335,plain,
% 13.73/9.79 ((~(v197(constB8) <=> (~((~v182(constB8)) | (~v191(constB8)))))) | (~v197(constB8)) | (~((~v182(constB8)) | (~v191(constB8))))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17336,plain,
% 13.73/9.79 (~v197(constB8)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17335, 17334, 17135])).
% 13.73/9.79 tff(17337,plain,
% 13.73/9.79 ((~(v197(constB8) | v198(constB8))) | v197(constB8) | v198(constB8)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17338,plain,
% 13.73/9.79 (~(v197(constB8) | v198(constB8))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17337, 17336, 17133])).
% 13.73/9.79 tff(17339,plain,
% 13.73/9.79 ((~(v194(constB8) <=> (v197(constB8) | v198(constB8)))) | (~v194(constB8)) | (v197(constB8) | v198(constB8))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17340,plain,
% 13.73/9.79 (~v194(constB8)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17339, 17338, 17102])).
% 13.73/9.79 tff(17341,plain,
% 13.73/9.79 ((~(v196(constB9) <=> v194(constB8))) | (~v196(constB9)) | v194(constB8)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17342,plain,
% 13.73/9.79 (~v196(constB9)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17341, 17340, 17100])).
% 13.73/9.79 tff(17343,plain,
% 13.73/9.79 ((~(v191(constB9) <=> v196(constB9))) | (~v191(constB9)) | v196(constB9)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17344,plain,
% 13.73/9.79 (~v191(constB9)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17343, 17342, 17096])).
% 13.73/9.79 tff(17345,plain,
% 13.73/9.79 (((~v191(constB9)) | (~v206(constB9))) | v191(constB9)),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17346,plain,
% 13.73/9.79 ((~v191(constB9)) | (~v206(constB9))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17345, 17344])).
% 13.73/9.79 tff(17347,plain,
% 13.73/9.79 ((~(v209(constB9) <=> (~((~v191(constB9)) | (~v206(constB9)))))) | (~v209(constB9)) | (~((~v191(constB9)) | (~v206(constB9))))),
% 13.73/9.79 inference(tautology,[status(thm)],[])).
% 13.73/9.79 tff(17348,plain,
% 13.73/9.79 (~v209(constB9)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17347, 17346, 17094])).
% 13.73/9.79 tff(17349,plain,
% 13.73/9.79 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9))))))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17350,plain,
% 13.73/9.79 ((v205(constB9) <=> (~((~v206(constB9)) | (~v158(constB9))))) <=> (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9)))))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17351,plain,
% 13.73/9.79 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v206(constB9)) | (~v158(constB9)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9))))))),
% 13.73/9.79 inference(monotonicity,[status(thm)],[17350])).
% 13.73/9.79 tff(17352,plain,
% 13.73/9.79 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v206(constB9)) | (~v158(constB9)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9))))))),
% 13.73/9.79 inference(transitivity,[status(thm)],[17351, 17349])).
% 13.73/9.79 tff(17353,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v206(constB9)) | (~v158(constB9)))))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17354,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9)))))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17353, 17352])).
% 13.73/9.79 tff(17355,plain,
% 13.73/9.79 (v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9))))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17354, 2502])).
% 13.73/9.79 tff(17356,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB9) <=> (~((~v186(constB9)) | (~v207(constB9)))))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17357,plain,
% 13.73/9.79 (v206(constB9) <=> (~((~v186(constB9)) | (~v207(constB9))))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17356, 16227])).
% 13.73/9.79 tff(17358,plain,
% 13.73/9.79 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9))))))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17359,plain,
% 13.73/9.79 ((v207(constB9) <=> (~((~v208(constB9)) | (~v184(constB9))))) <=> (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9)))))),
% 13.73/9.79 inference(rewrite,[status(thm)],[])).
% 13.73/9.79 tff(17360,plain,
% 13.73/9.79 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v208(constB9)) | (~v184(constB9)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9))))))),
% 13.73/9.79 inference(monotonicity,[status(thm)],[17359])).
% 13.73/9.79 tff(17361,plain,
% 13.73/9.79 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v208(constB9)) | (~v184(constB9)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9))))))),
% 13.73/9.79 inference(transitivity,[status(thm)],[17360, 17358])).
% 13.73/9.79 tff(17362,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v208(constB9)) | (~v184(constB9)))))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17363,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9)))))),
% 13.73/9.79 inference(modus_ponens,[status(thm)],[17362, 17361])).
% 13.73/9.79 tff(17364,plain,
% 13.73/9.79 (v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9))))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17363, 16239])).
% 13.73/9.79 tff(17365,plain,
% 13.73/9.79 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(constB9)) <=> v84(constB9))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17366,plain,
% 13.73/9.79 ((~v208(constB9)) <=> v84(constB9)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17365, 16253])).
% 13.73/9.79 tff(17367,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB9) <=> v86(constB9))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17368,plain,
% 13.73/9.79 (v84(constB9) <=> v86(constB9)),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17367, 16262])).
% 13.73/9.79 tff(17369,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB9) <=> (v136(constB9) | v145(constB9)))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17370,plain,
% 13.73/9.79 (v135(constB9) <=> (v136(constB9) | v145(constB9))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17369, 16271])).
% 13.73/9.79 tff(17371,plain,
% 13.73/9.79 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB9) <=> (v146(constB9) | v147(constB9)))),
% 13.73/9.79 inference(quant_inst,[status(thm)],[])).
% 13.73/9.79 tff(17372,plain,
% 13.73/9.79 (v145(constB9) <=> (v146(constB9) | v147(constB9))),
% 13.73/9.79 inference(unit_resolution,[status(thm)],[17371, 2302])).
% 13.73/9.79 tff(17373,plain,
% 13.73/9.79 (((~![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)))))),
% 13.76/9.79 inference(rewrite,[status(thm)],[])).
% 13.76/9.79 tff(17374,plain,
% 13.76/9.79 ((v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2))))) <=> (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))),
% 13.76/9.79 inference(rewrite,[status(thm)],[])).
% 13.76/9.79 tff(17375,plain,
% 13.76/9.79 (((~![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)))))),
% 13.76/9.79 inference(monotonicity,[status(thm)],[17374])).
% 13.76/9.79 tff(17376,plain,
% 13.76/9.79 (((~![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)))))),
% 13.76/9.79 inference(transitivity,[status(thm)],[17375, 17373])).
% 13.76/9.79 tff(17377,plain,
% 13.76/9.79 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))),
% 13.76/9.79 inference(quant_inst,[status(thm)],[])).
% 13.76/9.79 tff(17378,plain,
% 13.76/9.79 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))),
% 13.76/9.79 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 13.76/9.79 tff(17379,plain,
% 13.76/9.79 (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)))),
% 13.76/9.79 inference(unit_resolution,[status(thm)],[17378, 16288])).
% 13.76/9.79 tff(17380,plain,
% 13.76/9.79 (((~![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)))),
% 13.76/9.79 inference(rewrite,[status(thm)],[])).
% 13.76/9.79 tff(17381,plain,
% 13.76/9.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))),
% 13.76/9.79 inference(quant_inst,[status(thm)],[])).
% 13.76/9.79 tff(17382,plain,
% 13.76/9.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2))),
% 13.76/9.79 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 13.76/9.79 tff(17383,plain,
% 13.76/9.79 (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)),
% 13.76/9.79 inference(unit_resolution,[status(thm)],[17382, 579, 576])).
% 13.76/9.79 tff(17384,plain,
% 13.76/9.79 ((~(v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2))) | v88(constB9, bitIndex2) | (~v90(constB9, bitIndex2))),
% 13.76/9.79 inference(tautology,[status(thm)],[])).
% 13.76/9.79 tff(17385,plain,
% 13.76/9.79 (v88(constB9, bitIndex2)),
% 13.76/9.79 inference(unit_resolution,[status(thm)],[17384, 2031, 17383])).
% 13.76/9.79 tff(17386,plain,
% 13.76/9.79 (((~![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)))),
% 13.76/9.79 inference(rewrite,[status(thm)],[])).
% 13.76/9.79 tff(17387,plain,
% 13.76/9.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17388,plain,
% 13.76/9.80 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0))),
% 13.76/9.80 inference(modus_ponens,[status(thm)],[17387, 17386])).
% 13.76/9.80 tff(17389,plain,
% 13.76/9.80 (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17388, 1275, 576])).
% 13.76/9.80 tff(17390,plain,
% 13.76/9.80 ((~(v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0))) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0)),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17391,plain,
% 13.76/9.80 (~v88(constB9, bitIndex0)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17390, 2065, 17389])).
% 13.76/9.80 tff(17392,plain,
% 13.76/9.80 (((~![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)))),
% 13.76/9.80 inference(rewrite,[status(thm)],[])).
% 13.76/9.80 tff(17393,plain,
% 13.76/9.80 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17394,plain,
% 13.76/9.80 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1))),
% 13.76/9.80 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 13.76/9.80 tff(17395,plain,
% 13.76/9.80 (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17394, 1288, 576])).
% 13.76/9.80 tff(17396,plain,
% 13.76/9.80 ((~(v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1))) | (~v88(constB9, bitIndex1)) | v90(constB9, bitIndex1)),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17397,plain,
% 13.76/9.80 (~v88(constB9, bitIndex1)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17396, 2099, 17395])).
% 13.76/9.80 tff(17398,plain,
% 13.76/9.80 ((~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17399,plain,
% 13.76/9.80 (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17398, 17397, 17391, 17385])).
% 13.76/9.80 tff(17400,plain,
% 13.76/9.80 ((~(v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))) | v146(constB9) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17401,plain,
% 13.76/9.80 (v146(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17400, 17399, 17379])).
% 13.76/9.80 tff(17402,plain,
% 13.76/9.80 ((v146(constB9) | v147(constB9)) | (~v146(constB9))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17403,plain,
% 13.76/9.80 (v146(constB9) | v147(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17402, 17401])).
% 13.76/9.80 tff(17404,plain,
% 13.76/9.80 ((~(v145(constB9) <=> (v146(constB9) | v147(constB9)))) | v145(constB9) | (~(v146(constB9) | v147(constB9)))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17405,plain,
% 13.76/9.80 (v145(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17404, 17403, 17372])).
% 13.76/9.80 tff(17406,plain,
% 13.76/9.80 ((v136(constB9) | v145(constB9)) | (~v145(constB9))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17407,plain,
% 13.76/9.80 (v136(constB9) | v145(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17406, 17405])).
% 13.76/9.80 tff(17408,plain,
% 13.76/9.80 ((~(v135(constB9) <=> (v136(constB9) | v145(constB9)))) | v135(constB9) | (~(v136(constB9) | v145(constB9)))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17409,plain,
% 13.76/9.80 (v135(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17408, 17407, 17370])).
% 13.76/9.80 tff(17410,plain,
% 13.76/9.80 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 13.76/9.80 inference(rewrite,[status(thm)],[])).
% 13.76/9.80 tff(17411,plain,
% 13.76/9.80 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17412,plain,
% 13.76/9.80 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9))),
% 13.76/9.80 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 13.76/9.80 tff(17413,plain,
% 13.76/9.80 ((~v135(constB9)) | (v86(constB9) <=> v148(constB9))),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17412, 16814])).
% 13.76/9.80 tff(17414,plain,
% 13.76/9.80 (v86(constB9) <=> v148(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17413, 17409])).
% 13.76/9.80 tff(17415,plain,
% 13.76/9.80 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB9) <=> (v142(constB9) | v151(constB9)))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17416,plain,
% 13.76/9.80 (v149(constB9) <=> (v142(constB9) | v151(constB9))),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17415, 16829])).
% 13.76/9.80 tff(17417,plain,
% 13.76/9.80 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB9) <=> (v143(constB9) | v144(constB9)))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17418,plain,
% 13.76/9.80 (v142(constB9) <=> (v143(constB9) | v144(constB9))),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17417, 2813])).
% 13.76/9.80 tff(17419,plain,
% 13.76/9.80 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 13.76/9.80 inference(rewrite,[status(thm)],[])).
% 13.76/9.80 tff(17420,plain,
% 13.76/9.80 ((v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1))))) <=> (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))),
% 13.76/9.80 inference(rewrite,[status(thm)],[])).
% 13.76/9.80 tff(17421,plain,
% 13.76/9.80 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 13.76/9.80 inference(monotonicity,[status(thm)],[17420])).
% 13.76/9.80 tff(17422,plain,
% 13.76/9.80 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 13.76/9.80 inference(transitivity,[status(thm)],[17421, 17419])).
% 13.76/9.80 tff(17423,plain,
% 13.76/9.80 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17424,plain,
% 13.76/9.80 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))),
% 13.76/9.80 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 13.76/9.80 tff(17425,plain,
% 13.76/9.80 (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17424, 16089])).
% 13.76/9.80 tff(17426,plain,
% 13.76/9.80 ((v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)) | (~v88(constB9, bitIndex2))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17427,plain,
% 13.76/9.80 (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17426, 17385])).
% 13.76/9.80 tff(17428,plain,
% 13.76/9.80 ((~(v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))) | (~v143(constB9)) | (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17429,plain,
% 13.76/9.80 (~v143(constB9)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17428, 17427, 17425])).
% 13.76/9.80 tff(17430,plain,
% 13.76/9.80 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 13.76/9.80 inference(rewrite,[status(thm)],[])).
% 13.76/9.80 tff(17431,plain,
% 13.76/9.80 ((v144(constB9) <=> (~(v88(constB9, bitIndex0) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex2))))) <=> (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))),
% 13.76/9.80 inference(rewrite,[status(thm)],[])).
% 13.76/9.80 tff(17432,plain,
% 13.76/9.80 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~(v88(constB9, bitIndex0) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 13.76/9.80 inference(monotonicity,[status(thm)],[17431])).
% 13.76/9.80 tff(17433,plain,
% 13.76/9.80 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~(v88(constB9, bitIndex0) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 13.76/9.80 inference(transitivity,[status(thm)],[17432, 17430])).
% 13.76/9.80 tff(17434,plain,
% 13.76/9.80 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~(v88(constB9, bitIndex0) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex2)))))),
% 13.76/9.80 inference(quant_inst,[status(thm)],[])).
% 13.76/9.80 tff(17435,plain,
% 13.76/9.80 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))),
% 13.76/9.80 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 13.76/9.80 tff(17436,plain,
% 13.76/9.80 (v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17435, 2828])).
% 13.76/9.80 tff(17437,plain,
% 13.76/9.80 (((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)) | v88(constB9, bitIndex1)),
% 13.76/9.80 inference(tautology,[status(thm)],[])).
% 13.76/9.80 tff(17438,plain,
% 13.76/9.80 ((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)),
% 13.76/9.80 inference(unit_resolution,[status(thm)],[17437, 17397])).
% 13.76/9.80 tff(17439,plain,
% 13.76/9.80 ((~(v144(constB9) <=> (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))) | (~v144(constB9)) | (~((~v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17440,plain,
% 13.76/9.81 (~v144(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17439, 17438, 17436])).
% 13.76/9.81 tff(17441,plain,
% 13.76/9.81 ((~(v143(constB9) | v144(constB9))) | v143(constB9) | v144(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17442,plain,
% 13.76/9.81 (~(v143(constB9) | v144(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17441, 17440, 17429])).
% 13.76/9.81 tff(17443,plain,
% 13.76/9.81 ((~(v142(constB9) <=> (v143(constB9) | v144(constB9)))) | (~v142(constB9)) | (v143(constB9) | v144(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17444,plain,
% 13.76/9.81 (~v142(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17443, 17442, 17418])).
% 13.76/9.81 tff(17445,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB9) <=> (v141(constB9) | v152(constB9)))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17446,plain,
% 13.76/9.81 (v151(constB9) <=> (v141(constB9) | v152(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17445, 16864])).
% 13.76/9.81 tff(17447,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex0)))))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17448,plain,
% 13.76/9.81 (v141(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex0))))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17447, 564])).
% 13.76/9.81 tff(17449,plain,
% 13.76/9.81 ((v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex2))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17450,plain,
% 13.76/9.81 (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex0))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17449, 17385])).
% 13.76/9.81 tff(17451,plain,
% 13.76/9.81 ((~(v141(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex0)))))) | (~v141(constB9)) | (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | (~v88(constB9, bitIndex0))))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17452,plain,
% 13.76/9.81 (~v141(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17451, 17450, 17448])).
% 13.76/9.81 tff(17453,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB9) <=> (v139(constB9) | v140(constB9)))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17454,plain,
% 13.76/9.81 (v152(constB9) <=> (v139(constB9) | v140(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17453, 16879])).
% 13.76/9.81 tff(17455,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2))))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17456,plain,
% 13.76/9.81 (v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17455, 2231])).
% 13.76/9.81 tff(17457,plain,
% 13.76/9.81 ((v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex2))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17458,plain,
% 13.76/9.81 (v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17457, 17385])).
% 13.76/9.81 tff(17459,plain,
% 13.76/9.81 ((~(v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2))))) | (~v139(constB9)) | (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17460,plain,
% 13.76/9.81 (~v139(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17459, 17458, 17456])).
% 13.76/9.81 tff(17461,plain,
% 13.76/9.81 (((~![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))))))),
% 13.76/9.81 inference(rewrite,[status(thm)],[])).
% 13.76/9.81 tff(17462,plain,
% 13.76/9.81 ((v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0))))) <=> (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))),
% 13.76/9.81 inference(rewrite,[status(thm)],[])).
% 13.76/9.81 tff(17463,plain,
% 13.76/9.81 (((~![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))))))),
% 13.76/9.81 inference(monotonicity,[status(thm)],[17462])).
% 13.76/9.81 tff(17464,plain,
% 13.76/9.81 (((~![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))))))),
% 13.76/9.81 inference(transitivity,[status(thm)],[17463, 17461])).
% 13.76/9.81 tff(17465,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0)))))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17466,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))),
% 13.76/9.81 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 13.76/9.81 tff(17467,plain,
% 13.76/9.81 (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17466, 2250])).
% 13.76/9.81 tff(17468,plain,
% 13.76/9.81 ((v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex2))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17469,plain,
% 13.76/9.81 (v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17468, 17385])).
% 13.76/9.81 tff(17470,plain,
% 13.76/9.81 ((~(v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))) | (~v140(constB9)) | (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17471,plain,
% 13.76/9.81 (~v140(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17470, 17469, 17467])).
% 13.76/9.81 tff(17472,plain,
% 13.76/9.81 ((~(v139(constB9) | v140(constB9))) | v139(constB9) | v140(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17473,plain,
% 13.76/9.81 (~(v139(constB9) | v140(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17472, 17471, 17460])).
% 13.76/9.81 tff(17474,plain,
% 13.76/9.81 ((~(v152(constB9) <=> (v139(constB9) | v140(constB9)))) | (~v152(constB9)) | (v139(constB9) | v140(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17475,plain,
% 13.76/9.81 (~v152(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17474, 17473, 17454])).
% 13.76/9.81 tff(17476,plain,
% 13.76/9.81 ((~(v141(constB9) | v152(constB9))) | v141(constB9) | v152(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17477,plain,
% 13.76/9.81 (~(v141(constB9) | v152(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17476, 17475, 17452])).
% 13.76/9.81 tff(17478,plain,
% 13.76/9.81 ((~(v151(constB9) <=> (v141(constB9) | v152(constB9)))) | (~v151(constB9)) | (v141(constB9) | v152(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17479,plain,
% 13.76/9.81 (~v151(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17478, 17477, 17446])).
% 13.76/9.81 tff(17480,plain,
% 13.76/9.81 ((~(v142(constB9) | v151(constB9))) | v142(constB9) | v151(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17481,plain,
% 13.76/9.81 (~(v142(constB9) | v151(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17480, 17479, 17444])).
% 13.76/9.81 tff(17482,plain,
% 13.76/9.81 ((~(v149(constB9) <=> (v142(constB9) | v151(constB9)))) | (~v149(constB9)) | (v142(constB9) | v151(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17483,plain,
% 13.76/9.81 (~v149(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17482, 17481, 17416])).
% 13.76/9.81 tff(17484,plain,
% 13.76/9.81 (((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB9) | v149(constB9))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB9) | v149(constB9))),
% 13.76/9.81 inference(rewrite,[status(thm)],[])).
% 13.76/9.81 tff(17485,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB9) | v149(constB9))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17486,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB9) | v149(constB9)),
% 13.76/9.81 inference(modus_ponens,[status(thm)],[17485, 17484])).
% 13.76/9.81 tff(17487,plain,
% 13.76/9.81 (v148(constB9) | v149(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17486, 16920])).
% 13.76/9.81 tff(17488,plain,
% 13.76/9.81 (v148(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17487, 17483])).
% 13.76/9.81 tff(17489,plain,
% 13.76/9.81 ((~(v86(constB9) <=> v148(constB9))) | v86(constB9) | (~v148(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17490,plain,
% 13.76/9.81 (v86(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17489, 17488, 17414])).
% 13.76/9.81 tff(17491,plain,
% 13.76/9.81 ((~(v84(constB9) <=> v86(constB9))) | v84(constB9) | (~v86(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17492,plain,
% 13.76/9.81 ((~(v84(constB9) <=> v86(constB9))) | v84(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17491, 17490])).
% 13.76/9.81 tff(17493,plain,
% 13.76/9.81 (v84(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17492, 17368])).
% 13.76/9.81 tff(17494,plain,
% 13.76/9.81 ((~((~v208(constB9)) <=> v84(constB9))) | (~v208(constB9)) | (~v84(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17495,plain,
% 13.76/9.81 ((~((~v208(constB9)) <=> v84(constB9))) | (~v208(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17494, 17493])).
% 13.76/9.81 tff(17496,plain,
% 13.76/9.81 (~v208(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17495, 17366])).
% 13.76/9.81 tff(17497,plain,
% 13.76/9.81 (((~v184(constB9)) | (~v208(constB9))) | v208(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17498,plain,
% 13.76/9.81 ((~v184(constB9)) | (~v208(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17497, 17496])).
% 13.76/9.81 tff(17499,plain,
% 13.76/9.81 ((~(v207(constB9) <=> (~((~v184(constB9)) | (~v208(constB9)))))) | (~v207(constB9)) | (~((~v184(constB9)) | (~v208(constB9))))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17500,plain,
% 13.76/9.81 (~v207(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17499, 17498, 17364])).
% 13.76/9.81 tff(17501,plain,
% 13.76/9.81 (((~v186(constB9)) | (~v207(constB9))) | v207(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17502,plain,
% 13.76/9.81 ((~v186(constB9)) | (~v207(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17501, 17500])).
% 13.76/9.81 tff(17503,plain,
% 13.76/9.81 ((~(v206(constB9) <=> (~((~v186(constB9)) | (~v207(constB9)))))) | (~v206(constB9)) | (~((~v186(constB9)) | (~v207(constB9))))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17504,plain,
% 13.76/9.81 (~v206(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17503, 17502, 17357])).
% 13.76/9.81 tff(17505,plain,
% 13.76/9.81 (((~v158(constB9)) | (~v206(constB9))) | v206(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17506,plain,
% 13.76/9.81 ((~v158(constB9)) | (~v206(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17505, 17504])).
% 13.76/9.81 tff(17507,plain,
% 13.76/9.81 ((~(v205(constB9) <=> (~((~v158(constB9)) | (~v206(constB9)))))) | (~v205(constB9)) | (~((~v158(constB9)) | (~v206(constB9))))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17508,plain,
% 13.76/9.81 (~v205(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17507, 17506, 17355])).
% 13.76/9.81 tff(17509,plain,
% 13.76/9.81 ((~(v205(constB9) | v209(constB9))) | v205(constB9) | v209(constB9)),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17510,plain,
% 13.76/9.81 (~(v205(constB9) | v209(constB9))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17509, 17508, 17348])).
% 13.76/9.81 tff(17511,plain,
% 13.76/9.81 ((~(v204(constB9) <=> (v205(constB9) | v209(constB9)))) | (~v204(constB9)) | (v205(constB9) | v209(constB9))),
% 13.76/9.81 inference(tautology,[status(thm)],[])).
% 13.76/9.81 tff(17512,plain,
% 13.76/9.81 (~v204(constB9)),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17511, 17510, 17087])).
% 13.76/9.81 tff(17513,plain,
% 13.76/9.81 ($false),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17512, 17085])).
% 13.76/9.81 tff(17514,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 13.76/9.81 tff(17515,assumption,(constB56 = VarCurr!0), introduced(assumption)).
% 13.76/9.81 tff(17516,plain,
% 13.76/9.81 (v204(constB56) <=> v204(VarCurr!0)),
% 13.76/9.81 inference(monotonicity,[status(thm)],[17515])).
% 13.76/9.81 tff(17517,plain,
% 13.76/9.81 (v204(VarCurr!0) <=> v204(constB56)),
% 13.76/9.81 inference(symmetry,[status(thm)],[17516])).
% 13.76/9.81 tff(17518,plain,
% 13.76/9.81 (v204(constB56)),
% 13.76/9.81 inference(modus_ponens,[status(thm)],[27, 17517])).
% 13.76/9.81 tff(17519,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB56) <=> (v205(constB56) | v209(constB56)))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17520,plain,
% 13.76/9.81 (v204(constB56) <=> (v205(constB56) | v209(constB56))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17519, 35])).
% 13.76/9.81 tff(17521,plain,
% 13.76/9.81 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56))))))),
% 13.76/9.81 inference(rewrite,[status(thm)],[])).
% 13.76/9.81 tff(17522,plain,
% 13.76/9.81 ((v209(constB56) <=> (~((~v206(constB56)) | (~v191(constB56))))) <=> (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56)))))),
% 13.76/9.81 inference(rewrite,[status(thm)],[])).
% 13.76/9.81 tff(17523,plain,
% 13.76/9.81 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v206(constB56)) | (~v191(constB56)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56))))))),
% 13.76/9.81 inference(monotonicity,[status(thm)],[17522])).
% 13.76/9.81 tff(17524,plain,
% 13.76/9.81 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v206(constB56)) | (~v191(constB56)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56))))))),
% 13.76/9.81 inference(transitivity,[status(thm)],[17523, 17521])).
% 13.76/9.81 tff(17525,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v206(constB56)) | (~v191(constB56)))))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17526,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56)))))),
% 13.76/9.81 inference(modus_ponens,[status(thm)],[17525, 17524])).
% 13.76/9.81 tff(17527,plain,
% 13.76/9.81 (v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56))))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17526, 47])).
% 13.76/9.81 tff(17528,plain,
% 13.76/9.81 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB56) <=> (~((~v186(constB56)) | (~v207(constB56)))))),
% 13.76/9.81 inference(quant_inst,[status(thm)],[])).
% 13.76/9.81 tff(17529,plain,
% 13.76/9.81 (v206(constB56) <=> (~((~v186(constB56)) | (~v207(constB56))))),
% 13.76/9.81 inference(unit_resolution,[status(thm)],[17528, 16227])).
% 13.76/9.81 tff(17530,plain,
% 13.76/9.81 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56))))))),
% 13.76/9.82 inference(rewrite,[status(thm)],[])).
% 13.76/9.82 tff(17531,plain,
% 13.76/9.82 ((v207(constB56) <=> (~((~v208(constB56)) | (~v184(constB56))))) <=> (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56)))))),
% 13.76/9.82 inference(rewrite,[status(thm)],[])).
% 13.76/9.82 tff(17532,plain,
% 13.76/9.82 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v208(constB56)) | (~v184(constB56)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56))))))),
% 13.76/9.82 inference(monotonicity,[status(thm)],[17531])).
% 13.76/9.82 tff(17533,plain,
% 13.76/9.82 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v208(constB56)) | (~v184(constB56)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56))))))),
% 13.76/9.82 inference(transitivity,[status(thm)],[17532, 17530])).
% 13.76/9.82 tff(17534,plain,
% 13.76/9.82 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v208(constB56)) | (~v184(constB56)))))),
% 13.76/9.82 inference(quant_inst,[status(thm)],[])).
% 13.76/9.82 tff(17535,plain,
% 13.76/9.82 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56)))))),
% 13.76/9.82 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 13.76/9.82 tff(17536,plain,
% 13.76/9.82 (v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56))))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17535, 16239])).
% 13.76/9.82 tff(17537,plain,
% 13.76/9.82 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 13.76/9.82 inference(quant_inst,[status(thm)],[])).
% 13.76/9.82 tff(17538,plain,
% 13.76/9.82 (v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17537, 138])).
% 13.76/9.82 tff(17539,plain,
% 13.76/9.82 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 13.76/9.82 inference(quant_inst,[status(thm)],[])).
% 13.76/9.82 tff(17540,plain,
% 13.76/9.82 ((~v39(constB56)) <=> v1(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17539, 147])).
% 13.76/9.82 tff(17541,plain,
% 13.76/9.82 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17542,plain,
% 13.76/9.82 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17541, 5918])).
% 13.76/9.82 tff(17543,plain,
% 13.76/9.82 (~v39(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17542, 17540])).
% 13.76/9.82 tff(17544,plain,
% 13.76/9.82 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17545,plain,
% 13.76/9.82 ((~v39(constB56)) | (~v9(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17544, 17543])).
% 13.76/9.82 tff(17546,plain,
% 13.76/9.82 ((~(v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v184(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17547,plain,
% 13.76/9.82 ((~(v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v184(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17546, 17545])).
% 13.76/9.82 tff(17548,plain,
% 13.76/9.82 (~v184(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17547, 17538])).
% 13.76/9.82 tff(17549,plain,
% 13.76/9.82 (((~v184(constB56)) | (~v208(constB56))) | v184(constB56)),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17550,plain,
% 13.76/9.82 ((~v184(constB56)) | (~v208(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17549, 17548])).
% 13.76/9.82 tff(17551,plain,
% 13.76/9.82 ((~(v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56)))))) | (~v207(constB56)) | (~((~v184(constB56)) | (~v208(constB56))))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17552,plain,
% 13.76/9.82 ((~(v207(constB56) <=> (~((~v184(constB56)) | (~v208(constB56)))))) | (~v207(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17551, 17550])).
% 13.76/9.82 tff(17553,plain,
% 13.76/9.82 (~v207(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17552, 17536])).
% 13.76/9.82 tff(17554,plain,
% 13.76/9.82 (((~v186(constB56)) | (~v207(constB56))) | v207(constB56)),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17555,plain,
% 13.76/9.82 ((~v186(constB56)) | (~v207(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17554, 17553])).
% 13.76/9.82 tff(17556,plain,
% 13.76/9.82 ((~(v206(constB56) <=> (~((~v186(constB56)) | (~v207(constB56)))))) | (~v206(constB56)) | (~((~v186(constB56)) | (~v207(constB56))))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17557,plain,
% 13.76/9.82 (~v206(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17556, 17555, 17529])).
% 13.76/9.82 tff(17558,plain,
% 13.76/9.82 (((~v191(constB56)) | (~v206(constB56))) | v206(constB56)),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17559,plain,
% 13.76/9.82 ((~v191(constB56)) | (~v206(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17558, 17557])).
% 13.76/9.82 tff(17560,plain,
% 13.76/9.82 ((~(v209(constB56) <=> (~((~v191(constB56)) | (~v206(constB56)))))) | (~v209(constB56)) | (~((~v191(constB56)) | (~v206(constB56))))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17561,plain,
% 13.76/9.82 (~v209(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17560, 17559, 17527])).
% 13.76/9.82 tff(17562,plain,
% 13.76/9.82 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56))))))),
% 13.76/9.82 inference(rewrite,[status(thm)],[])).
% 13.76/9.82 tff(17563,plain,
% 13.76/9.82 ((v205(constB56) <=> (~((~v206(constB56)) | (~v158(constB56))))) <=> (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56)))))),
% 13.76/9.82 inference(rewrite,[status(thm)],[])).
% 13.76/9.82 tff(17564,plain,
% 13.76/9.82 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v206(constB56)) | (~v158(constB56)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56))))))),
% 13.76/9.82 inference(monotonicity,[status(thm)],[17563])).
% 13.76/9.82 tff(17565,plain,
% 13.76/9.82 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v206(constB56)) | (~v158(constB56)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56))))))),
% 13.76/9.82 inference(transitivity,[status(thm)],[17564, 17562])).
% 13.76/9.82 tff(17566,plain,
% 13.76/9.82 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v206(constB56)) | (~v158(constB56)))))),
% 13.76/9.82 inference(quant_inst,[status(thm)],[])).
% 13.76/9.82 tff(17567,plain,
% 13.76/9.82 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56)))))),
% 13.76/9.82 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 13.76/9.82 tff(17568,plain,
% 13.76/9.82 (v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56))))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17567, 2502])).
% 13.76/9.82 tff(17569,plain,
% 13.76/9.82 (((~v158(constB56)) | (~v206(constB56))) | v206(constB56)),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17570,plain,
% 13.76/9.82 ((~v158(constB56)) | (~v206(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17569, 17557])).
% 13.76/9.82 tff(17571,plain,
% 13.76/9.82 ((~(v205(constB56) <=> (~((~v158(constB56)) | (~v206(constB56)))))) | (~v205(constB56)) | (~((~v158(constB56)) | (~v206(constB56))))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17572,plain,
% 13.76/9.82 (~v205(constB56)),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17571, 17570, 17568])).
% 13.76/9.82 tff(17573,plain,
% 13.76/9.82 ((~(v205(constB56) | v209(constB56))) | v205(constB56) | v209(constB56)),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17574,plain,
% 13.76/9.82 (~(v205(constB56) | v209(constB56))),
% 13.76/9.82 inference(unit_resolution,[status(thm)],[17573, 17572, 17561])).
% 13.76/9.82 tff(17575,plain,
% 13.76/9.82 ((~(v204(constB56) <=> (v205(constB56) | v209(constB56)))) | (~v204(constB56)) | (v205(constB56) | v209(constB56))),
% 13.76/9.82 inference(tautology,[status(thm)],[])).
% 13.76/9.82 tff(17576,plain,
% 13.76/9.82 ((~(v204(constB56) <=> (v205(constB56) | v209(constB56)))) | (~v204(constB56))),
% 13.78/9.82 inference(unit_resolution,[status(thm)],[17575, 17574])).
% 13.78/9.82 tff(17577,plain,
% 13.78/9.82 (~v204(constB56)),
% 13.78/9.82 inference(unit_resolution,[status(thm)],[17576, 17520])).
% 13.78/9.82 tff(17578,plain,
% 13.78/9.82 ($false),
% 13.78/9.82 inference(unit_resolution,[status(thm)],[17577, 17518])).
% 13.78/9.82 tff(17579,plain,(~(constB56 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 13.78/9.82 tff(17580,assumption,(constB127 = VarCurr!0), introduced(assumption)).
% 13.78/9.82 tff(17581,plain,
% 13.78/9.82 (v204(constB127) <=> v204(VarCurr!0)),
% 13.78/9.82 inference(monotonicity,[status(thm)],[17580])).
% 13.78/9.82 tff(17582,plain,
% 13.78/9.82 (v204(VarCurr!0) <=> v204(constB127)),
% 13.78/9.82 inference(symmetry,[status(thm)],[17581])).
% 13.78/9.82 tff(17583,plain,
% 13.78/9.82 (v204(constB127)),
% 13.78/9.82 inference(modus_ponens,[status(thm)],[27, 17582])).
% 13.78/9.82 tff(17584,plain,
% 13.78/9.82 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB127) <=> (v205(constB127) | v209(constB127)))),
% 13.78/9.82 inference(quant_inst,[status(thm)],[])).
% 13.78/9.82 tff(17585,plain,
% 13.78/9.82 (v204(constB127) <=> (v205(constB127) | v209(constB127))),
% 13.78/9.82 inference(unit_resolution,[status(thm)],[17584, 35])).
% 13.78/9.82 tff(17586,plain,
% 13.78/9.82 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127))))))),
% 13.78/9.82 inference(rewrite,[status(thm)],[])).
% 13.78/9.82 tff(17587,plain,
% 13.78/9.82 ((v209(constB127) <=> (~((~v206(constB127)) | (~v191(constB127))))) <=> (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127)))))),
% 13.78/9.82 inference(rewrite,[status(thm)],[])).
% 13.78/9.82 tff(17588,plain,
% 13.78/9.82 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v206(constB127)) | (~v191(constB127)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127))))))),
% 13.78/9.82 inference(monotonicity,[status(thm)],[17587])).
% 13.78/9.82 tff(17589,plain,
% 13.78/9.82 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v206(constB127)) | (~v191(constB127)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127))))))),
% 13.78/9.82 inference(transitivity,[status(thm)],[17588, 17586])).
% 13.78/9.82 tff(17590,plain,
% 13.78/9.82 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v206(constB127)) | (~v191(constB127)))))),
% 13.78/9.82 inference(quant_inst,[status(thm)],[])).
% 13.78/9.82 tff(17591,plain,
% 13.78/9.82 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127)))))),
% 13.78/9.82 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 13.78/9.82 tff(17592,plain,
% 13.78/9.82 (v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127))))),
% 13.78/9.82 inference(unit_resolution,[status(thm)],[17591, 47])).
% 13.78/9.82 tff(17593,plain,
% 13.78/9.82 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB127) <=> v196(constB127))),
% 13.78/9.82 inference(quant_inst,[status(thm)],[])).
% 13.78/9.82 tff(17594,plain,
% 13.78/9.82 (v191(constB127) <=> v196(constB127)),
% 13.78/9.82 inference(unit_resolution,[status(thm)],[17593, 64])).
% 13.78/9.82 tff(17595,plain,
% 13.78/9.82 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 13.78/9.82 inference(rewrite,[status(thm)],[])).
% 13.78/9.82 tff(17596,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126')).
% 13.78/9.82 tff(17597,plain,
% 13.78/9.82 (nextState(constB126, constB127)),
% 13.78/9.82 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 13.78/9.82 tff(17598,plain,
% 13.78/9.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB126, constB127)) | (v196(constB127) <=> v194(constB126)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB126, constB127)) | (v196(constB127) <=> v194(constB126)))),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17599,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB126, constB127)) | (v196(constB127) <=> v194(constB126)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17600,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB126, constB127)) | (v196(constB127) <=> v194(constB126))),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17599, 17598])).
% 13.78/9.83 tff(17601,plain,
% 13.78/9.83 (v196(constB127) <=> v194(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17600, 17597, 76])).
% 13.78/9.83 tff(17602,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB126) <=> (v197(constB126) | v198(constB126)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17603,plain,
% 13.78/9.83 (v194(constB126) <=> (v197(constB126) | v198(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17602, 90])).
% 13.78/9.83 tff(17604,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB126) <=> (~((~v158(constB126)) | (~v199(constB126)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17605,plain,
% 13.78/9.83 (v198(constB126) <=> (~((~v158(constB126)) | (~v199(constB126))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17604, 102])).
% 13.78/9.83 tff(17606,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB126) <=> (~((~v186(constB126)) | (~v200(constB126)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17607,plain,
% 13.78/9.83 (v199(constB126) <=> (~((~v186(constB126)) | (~v200(constB126))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17606, 114])).
% 13.78/9.83 tff(17608,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB126) <=> (~((~v184(constB126)) | (~v84(constB126)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17609,plain,
% 13.78/9.83 (v200(constB126) <=> (~((~v184(constB126)) | (~v84(constB126))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17608, 126])).
% 13.78/9.83 tff(17610,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17611,plain,
% 13.78/9.83 (v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17610, 138])).
% 13.78/9.83 tff(17612,plain,
% 13.78/9.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB126)) <=> v1(constB126))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17613,plain,
% 13.78/9.83 ((~v39(constB126)) <=> v1(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17612, 147])).
% 13.78/9.83 tff(17614,plain,
% 13.78/9.83 (v1(constB126) <=> v1(constB126)),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17615,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126')).
% 13.78/9.83 tff(17616,plain,
% 13.78/9.83 (v1(constB126)),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17615, 17614])).
% 13.78/9.83 tff(17617,plain,
% 13.78/9.83 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126)) | (~v1(constB126))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17618,plain,
% 13.78/9.83 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17617, 17616])).
% 13.78/9.83 tff(17619,plain,
% 13.78/9.83 (~v39(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17618, 17613])).
% 13.78/9.83 tff(17620,plain,
% 13.78/9.83 (((~v39(constB126)) | (~v9(constB126))) | v39(constB126)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17621,plain,
% 13.78/9.83 ((~v39(constB126)) | (~v9(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17620, 17619])).
% 13.78/9.83 tff(17622,plain,
% 13.78/9.83 ((~(v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v184(constB126)) | (~((~v39(constB126)) | (~v9(constB126))))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17623,plain,
% 13.78/9.83 ((~(v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v184(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17622, 17621])).
% 13.78/9.83 tff(17624,plain,
% 13.78/9.83 (~v184(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17623, 17611])).
% 13.78/9.83 tff(17625,plain,
% 13.78/9.83 (((~v184(constB126)) | (~v84(constB126))) | v184(constB126)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17626,plain,
% 13.78/9.83 ((~v184(constB126)) | (~v84(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17625, 17624])).
% 13.78/9.83 tff(17627,plain,
% 13.78/9.83 ((~(v200(constB126) <=> (~((~v184(constB126)) | (~v84(constB126)))))) | (~v200(constB126)) | (~((~v184(constB126)) | (~v84(constB126))))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17628,plain,
% 13.78/9.83 ((~(v200(constB126) <=> (~((~v184(constB126)) | (~v84(constB126)))))) | (~v200(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17627, 17626])).
% 13.78/9.83 tff(17629,plain,
% 13.78/9.83 (~v200(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17628, 17609])).
% 13.78/9.83 tff(17630,plain,
% 13.78/9.83 (((~v186(constB126)) | (~v200(constB126))) | v200(constB126)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17631,plain,
% 13.78/9.83 ((~v186(constB126)) | (~v200(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17630, 17629])).
% 13.78/9.83 tff(17632,plain,
% 13.78/9.83 ((~(v199(constB126) <=> (~((~v186(constB126)) | (~v200(constB126)))))) | (~v199(constB126)) | (~((~v186(constB126)) | (~v200(constB126))))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17633,plain,
% 13.78/9.83 (~v199(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17632, 17631, 17607])).
% 13.78/9.83 tff(17634,plain,
% 13.78/9.83 (((~v158(constB126)) | (~v199(constB126))) | v199(constB126)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17635,plain,
% 13.78/9.83 ((~v158(constB126)) | (~v199(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17634, 17633])).
% 13.78/9.83 tff(17636,plain,
% 13.78/9.83 ((~(v198(constB126) <=> (~((~v158(constB126)) | (~v199(constB126)))))) | (~v198(constB126)) | (~((~v158(constB126)) | (~v199(constB126))))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17637,plain,
% 13.78/9.83 (~v198(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17636, 17635, 17605])).
% 13.78/9.83 tff(17638,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB126) <=> (~((~v182(constB126)) | (~v191(constB126)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17639,plain,
% 13.78/9.83 (v197(constB126) <=> (~((~v182(constB126)) | (~v191(constB126))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17638, 183])).
% 13.78/9.83 tff(17640,plain,
% 13.78/9.83 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB126) <=> v196(constB126))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17641,plain,
% 13.78/9.83 (v191(constB126) <=> v196(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17640, 64])).
% 13.78/9.83 tff(17642,plain,
% 13.78/9.83 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17643,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125')).
% 13.78/9.83 tff(17644,plain,
% 13.78/9.83 (nextState(constB125, constB126)),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17643, 17642])).
% 13.78/9.83 tff(17645,plain,
% 13.78/9.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB125, constB126)) | (v196(constB126) <=> v194(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB125, constB126)) | (v196(constB126) <=> v194(constB125)))),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17646,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB125, constB126)) | (v196(constB126) <=> v194(constB125)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17647,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB125, constB126)) | (v196(constB126) <=> v194(constB125))),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17646, 17645])).
% 13.78/9.83 tff(17648,plain,
% 13.78/9.83 (v196(constB126) <=> v194(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17647, 17644, 76])).
% 13.78/9.83 tff(17649,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB125) <=> (v197(constB125) | v198(constB125)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17650,plain,
% 13.78/9.83 (v194(constB125) <=> (v197(constB125) | v198(constB125))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17649, 90])).
% 13.78/9.83 tff(17651,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB125) <=> (~((~v182(constB125)) | (~v191(constB125)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17652,plain,
% 13.78/9.83 (v197(constB125) <=> (~((~v182(constB125)) | (~v191(constB125))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17651, 183])).
% 13.78/9.83 tff(17653,plain,
% 13.78/9.83 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB125)) <=> v183(constB125))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17654,plain,
% 13.78/9.83 ((~v182(constB125)) <=> v183(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17653, 205])).
% 13.78/9.83 tff(17655,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB125) <=> (v184(constB125) | v26(constB125)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17656,plain,
% 13.78/9.83 (v183(constB125) <=> (v184(constB125) | v26(constB125))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17655, 214])).
% 13.78/9.83 tff(17657,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17658,plain,
% 13.78/9.83 (v184(constB125) <=> (~((~v39(constB125)) | (~v9(constB125))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17657, 138])).
% 13.78/9.83 tff(17659,plain,
% 13.78/9.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17660,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17661,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125))),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 13.78/9.83 tff(17662,plain,
% 13.78/9.83 (v13(constB126) <=> v9(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17661, 17644, 228])).
% 13.78/9.83 tff(17663,plain,
% 13.78/9.83 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB126) <=> v13(constB126))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17664,plain,
% 13.78/9.83 (v6(constB126) <=> v13(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17663, 242])).
% 13.78/9.83 tff(17665,plain,
% 13.78/9.83 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB126)) <=> v6(constB126))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17666,plain,
% 13.78/9.83 ((~v21(constB126)) <=> v6(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17665, 251])).
% 13.78/9.83 tff(17667,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB126) <=> (v20(constB126) | v21(constB126)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17668,plain,
% 13.78/9.83 (v19(constB126) <=> (v20(constB126) | v21(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17667, 260])).
% 13.78/9.83 tff(17669,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17670,plain,
% 13.78/9.83 (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17669, 272])).
% 13.78/9.83 tff(17671,plain,
% 13.78/9.83 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB126)) <=> v18(constB126))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17672,plain,
% 13.78/9.83 ((~v4(constB126)) <=> v18(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17671, 281])).
% 13.78/9.83 tff(17673,plain,
% 13.78/9.83 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB126)),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17674,plain,
% 13.78/9.83 (v4(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17673, 290])).
% 13.78/9.83 tff(17675,plain,
% 13.78/9.83 ((~((~v4(constB126)) <=> v18(constB126))) | (~v4(constB126)) | (~v18(constB126))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17676,plain,
% 13.78/9.83 (~v18(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17675, 17674, 17672])).
% 13.78/9.83 tff(17677,plain,
% 13.78/9.83 ((~(v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))) | v18(constB126) | ((~v19(constB126)) | (~v22(constB126)))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17678,plain,
% 13.78/9.83 ((~v19(constB126)) | (~v22(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17677, 17676, 17670])).
% 13.78/9.83 tff(17679,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB126) <=> (v1(constB126) | v6(constB126)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17680,plain,
% 13.78/9.83 (v22(constB126) <=> (v1(constB126) | v6(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17679, 303])).
% 13.78/9.83 tff(17681,plain,
% 13.78/9.83 ((v1(constB126) | v6(constB126)) | (~v1(constB126))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17682,plain,
% 13.78/9.83 (v1(constB126) | v6(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17681, 17616])).
% 13.78/9.83 tff(17683,plain,
% 13.78/9.83 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126) | (~(v1(constB126) | v6(constB126)))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17684,plain,
% 13.78/9.83 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17683, 17682])).
% 13.78/9.83 tff(17685,plain,
% 13.78/9.83 (v22(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17684, 17680])).
% 13.78/9.83 tff(17686,plain,
% 13.78/9.83 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126)) | (~v22(constB126))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17687,plain,
% 13.78/9.83 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17686, 17685])).
% 13.78/9.83 tff(17688,plain,
% 13.78/9.83 (~v19(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17687, 17678])).
% 13.78/9.83 tff(17689,plain,
% 13.78/9.83 ((~(v19(constB126) <=> (v20(constB126) | v21(constB126)))) | v19(constB126) | (~(v20(constB126) | v21(constB126)))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17690,plain,
% 13.78/9.83 (~(v20(constB126) | v21(constB126))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17689, 17688, 17668])).
% 13.78/9.83 tff(17691,plain,
% 13.78/9.83 ((v20(constB126) | v21(constB126)) | (~v21(constB126))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17692,plain,
% 13.78/9.83 (~v21(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17691, 17690])).
% 13.78/9.83 tff(17693,plain,
% 13.78/9.83 ((~((~v21(constB126)) <=> v6(constB126))) | v21(constB126) | v6(constB126)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17694,plain,
% 13.78/9.83 (v6(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17693, 17692, 17666])).
% 13.78/9.83 tff(17695,plain,
% 13.78/9.83 ((~(v6(constB126) <=> v13(constB126))) | (~v6(constB126)) | v13(constB126)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17696,plain,
% 13.78/9.83 (v13(constB126)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17695, 17694, 17664])).
% 13.78/9.83 tff(17697,plain,
% 13.78/9.83 ((~(v13(constB126) <=> v9(constB125))) | (~v13(constB126)) | v9(constB125)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17698,plain,
% 13.78/9.83 (v9(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17697, 17696, 17662])).
% 13.78/9.83 tff(17699,plain,
% 13.78/9.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB125)) <=> v1(constB125))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17700,plain,
% 13.78/9.83 ((~v39(constB125)) <=> v1(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17699, 147])).
% 13.78/9.83 tff(17701,plain,
% 13.78/9.83 ((~v1(constB125)) <=> (~v1(constB125))),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17702,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125')).
% 13.78/9.83 tff(17703,plain,
% 13.78/9.83 (~v1(constB125)),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17702, 17701])).
% 13.78/9.83 tff(17704,plain,
% 13.78/9.83 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125) | v1(constB125)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17705,plain,
% 13.78/9.83 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17704, 17703])).
% 13.78/9.83 tff(17706,plain,
% 13.78/9.83 (v39(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17705, 17700])).
% 13.78/9.83 tff(17707,plain,
% 13.78/9.83 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v39(constB125)) | (~v9(constB125))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17708,plain,
% 13.78/9.83 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v9(constB125))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17707, 17706])).
% 13.78/9.83 tff(17709,plain,
% 13.78/9.83 (~((~v39(constB125)) | (~v9(constB125)))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17708, 17698])).
% 13.78/9.83 tff(17710,plain,
% 13.78/9.83 ((~(v184(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))) | v184(constB125) | ((~v39(constB125)) | (~v9(constB125)))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17711,plain,
% 13.78/9.83 (v184(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17710, 17709, 17658])).
% 13.78/9.83 tff(17712,plain,
% 13.78/9.83 ((v184(constB125) | v26(constB125)) | (~v184(constB125))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17713,plain,
% 13.78/9.83 (v184(constB125) | v26(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17712, 17711])).
% 13.78/9.83 tff(17714,plain,
% 13.78/9.83 ((~(v183(constB125) <=> (v184(constB125) | v26(constB125)))) | v183(constB125) | (~(v184(constB125) | v26(constB125)))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17715,plain,
% 13.78/9.83 (v183(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17714, 17713, 17656])).
% 13.78/9.83 tff(17716,plain,
% 13.78/9.83 ((~((~v182(constB125)) <=> v183(constB125))) | (~v182(constB125)) | (~v183(constB125))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17717,plain,
% 13.78/9.83 (~v182(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17716, 17715, 17654])).
% 13.78/9.83 tff(17718,plain,
% 13.78/9.83 (((~v182(constB125)) | (~v191(constB125))) | v182(constB125)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17719,plain,
% 13.78/9.83 ((~v182(constB125)) | (~v191(constB125))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17718, 17717])).
% 13.78/9.83 tff(17720,plain,
% 13.78/9.83 ((~(v197(constB125) <=> (~((~v182(constB125)) | (~v191(constB125)))))) | (~v197(constB125)) | (~((~v182(constB125)) | (~v191(constB125))))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17721,plain,
% 13.78/9.83 (~v197(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17720, 17719, 17652])).
% 13.78/9.83 tff(17722,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB125) <=> (~((~v158(constB125)) | (~v199(constB125)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17723,plain,
% 13.78/9.83 (v198(constB125) <=> (~((~v158(constB125)) | (~v199(constB125))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17722, 102])).
% 13.78/9.83 tff(17724,plain,
% 13.78/9.83 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB125) <=> v180(constB125))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17725,plain,
% 13.78/9.83 (v158(constB125) <=> v180(constB125)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17724, 358])).
% 13.78/9.83 tff(17726,plain,
% 13.78/9.83 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17727,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124')).
% 13.78/9.83 tff(17728,plain,
% 13.78/9.83 (nextState(constB124, constB125)),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17727, 17726])).
% 13.78/9.83 tff(17729,plain,
% 13.78/9.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB124, constB125)) | (v180(constB125) <=> v178(constB124)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB124, constB125)) | (v180(constB125) <=> v178(constB124)))),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17730,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB124, constB125)) | (v180(constB125) <=> v178(constB124)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17731,plain,
% 13.78/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB124, constB125)) | (v180(constB125) <=> v178(constB124))),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17730, 17729])).
% 13.78/9.83 tff(17732,plain,
% 13.78/9.83 (v180(constB125) <=> v178(constB124)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17731, 17728, 370])).
% 13.78/9.83 tff(17733,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB124) <=> (v181(constB124) | v185(constB124)))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17734,plain,
% 13.78/9.83 (v178(constB124) <=> (v181(constB124) | v185(constB124))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17733, 384])).
% 13.78/9.83 tff(17735,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB124) <=> (~((~v186(constB124)) | (~v187(constB124)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17736,plain,
% 13.78/9.83 (v185(constB124) <=> (~((~v186(constB124)) | (~v187(constB124))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17735, 396])).
% 13.78/9.83 tff(17737,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB124) <=> (~((~v184(constB124)) | (~v160(constB124)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17738,plain,
% 13.78/9.83 (v187(constB124) <=> (~((~v184(constB124)) | (~v160(constB124))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17737, 408])).
% 13.78/9.83 tff(17739,plain,
% 13.78/9.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17740,plain,
% 13.78/9.83 (v184(constB124) <=> (~((~v39(constB124)) | (~v9(constB124))))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17739, 138])).
% 13.78/9.83 tff(17741,plain,
% 13.78/9.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB124)) <=> v1(constB124))),
% 13.78/9.83 inference(quant_inst,[status(thm)],[])).
% 13.78/9.83 tff(17742,plain,
% 13.78/9.83 ((~v39(constB124)) <=> v1(constB124)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17741, 147])).
% 13.78/9.83 tff(17743,plain,
% 13.78/9.83 (v1(constB124) <=> v1(constB124)),
% 13.78/9.83 inference(rewrite,[status(thm)],[])).
% 13.78/9.83 tff(17744,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124')).
% 13.78/9.83 tff(17745,plain,
% 13.78/9.83 (v1(constB124)),
% 13.78/9.83 inference(modus_ponens,[status(thm)],[17744, 17743])).
% 13.78/9.83 tff(17746,plain,
% 13.78/9.83 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124)) | (~v1(constB124))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17747,plain,
% 13.78/9.83 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17746, 17745])).
% 13.78/9.83 tff(17748,plain,
% 13.78/9.83 (~v39(constB124)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17747, 17742])).
% 13.78/9.83 tff(17749,plain,
% 13.78/9.83 (((~v39(constB124)) | (~v9(constB124))) | v39(constB124)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17750,plain,
% 13.78/9.83 ((~v39(constB124)) | (~v9(constB124))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17749, 17748])).
% 13.78/9.83 tff(17751,plain,
% 13.78/9.83 ((~(v184(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v184(constB124)) | (~((~v39(constB124)) | (~v9(constB124))))),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17752,plain,
% 13.78/9.83 ((~(v184(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v184(constB124))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17751, 17750])).
% 13.78/9.83 tff(17753,plain,
% 13.78/9.83 (~v184(constB124)),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17752, 17740])).
% 13.78/9.83 tff(17754,plain,
% 13.78/9.83 (((~v184(constB124)) | (~v160(constB124))) | v184(constB124)),
% 13.78/9.83 inference(tautology,[status(thm)],[])).
% 13.78/9.83 tff(17755,plain,
% 13.78/9.83 ((~v184(constB124)) | (~v160(constB124))),
% 13.78/9.83 inference(unit_resolution,[status(thm)],[17754, 17753])).
% 13.78/9.83 tff(17756,plain,
% 13.78/9.83 ((~(v187(constB124) <=> (~((~v184(constB124)) | (~v160(constB124)))))) | (~v187(constB124)) | (~((~v184(constB124)) | (~v160(constB124))))),
% 13.78/9.84 inference(tautology,[status(thm)],[])).
% 13.78/9.84 tff(17757,plain,
% 13.78/9.84 ((~(v187(constB124) <=> (~((~v184(constB124)) | (~v160(constB124)))))) | (~v187(constB124))),
% 13.78/9.84 inference(unit_resolution,[status(thm)],[17756, 17755])).
% 13.78/9.84 tff(17758,plain,
% 13.78/9.84 (~v187(constB124)),
% 13.78/9.84 inference(unit_resolution,[status(thm)],[17757, 17738])).
% 13.78/9.84 tff(17759,plain,
% 13.78/9.84 (((~v186(constB124)) | (~v187(constB124))) | v187(constB124)),
% 13.78/9.84 inference(tautology,[status(thm)],[])).
% 13.78/9.84 tff(17760,plain,
% 13.78/9.84 ((~v186(constB124)) | (~v187(constB124))),
% 13.78/9.84 inference(unit_resolution,[status(thm)],[17759, 17758])).
% 13.78/9.84 tff(17761,plain,
% 13.78/9.84 ((~(v185(constB124) <=> (~((~v186(constB124)) | (~v187(constB124)))))) | (~v185(constB124)) | (~((~v186(constB124)) | (~v187(constB124))))),
% 13.78/9.84 inference(tautology,[status(thm)],[])).
% 13.78/9.84 tff(17762,plain,
% 13.78/9.84 (~v185(constB124)),
% 13.78/9.84 inference(unit_resolution,[status(thm)],[17761, 17760, 17736])).
% 13.78/9.84 tff(17763,plain,
% 13.78/9.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124))))))),
% 13.78/9.84 inference(rewrite,[status(thm)],[])).
% 13.78/9.84 tff(17764,plain,
% 13.78/9.84 ((v181(constB124) <=> (~((~v182(constB124)) | (~v158(constB124))))) <=> (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124)))))),
% 13.78/9.84 inference(rewrite,[status(thm)],[])).
% 13.78/9.84 tff(17765,plain,
% 13.78/9.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v182(constB124)) | (~v158(constB124)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124))))))),
% 13.78/9.84 inference(monotonicity,[status(thm)],[17764])).
% 13.78/9.84 tff(17766,plain,
% 13.78/9.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v182(constB124)) | (~v158(constB124)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124))))))),
% 13.78/9.84 inference(transitivity,[status(thm)],[17765, 17763])).
% 13.78/9.84 tff(17767,plain,
% 13.78/9.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v182(constB124)) | (~v158(constB124)))))),
% 13.78/9.84 inference(quant_inst,[status(thm)],[])).
% 13.78/9.84 tff(17768,plain,
% 13.78/9.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124)))))),
% 13.78/9.84 inference(modus_ponens,[status(thm)],[17767, 17766])).
% 13.78/9.84 tff(17769,plain,
% 13.78/9.84 (v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124))))),
% 13.78/9.84 inference(unit_resolution,[status(thm)],[17768, 444])).
% 13.78/9.84 tff(17770,plain,
% 13.78/9.84 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB124) <=> v180(constB124))),
% 13.78/9.84 inference(quant_inst,[status(thm)],[])).
% 13.78/9.84 tff(17771,plain,
% 13.78/9.84 (v158(constB124) <=> v180(constB124)),
% 13.78/9.84 inference(unit_resolution,[status(thm)],[17770, 358])).
% 13.78/9.84 tff(17772,plain,
% 13.78/9.84 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 13.78/9.84 inference(rewrite,[status(thm)],[])).
% 13.78/9.84 tff(17773,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123')).
% 13.78/9.84 tff(17774,plain,
% 13.78/9.84 (nextState(constB123, constB124)),
% 13.78/9.84 inference(modus_ponens,[status(thm)],[17773, 17772])).
% 13.78/9.84 tff(17775,plain,
% 13.78/9.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB123, constB124)) | (v180(constB124) <=> v178(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB123, constB124)) | (v180(constB124) <=> v178(constB123)))),
% 13.78/9.84 inference(rewrite,[status(thm)],[])).
% 13.78/9.84 tff(17776,plain,
% 13.78/9.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB123, constB124)) | (v180(constB124) <=> v178(constB123)))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17777,plain,
% 13.80/9.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB123, constB124)) | (v180(constB124) <=> v178(constB123))),
% 13.80/9.84 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 13.80/9.84 tff(17778,plain,
% 13.80/9.84 (v180(constB124) <=> v178(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17777, 17774, 370])).
% 13.80/9.84 tff(17779,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB123) <=> (v181(constB123) | v185(constB123)))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17780,plain,
% 13.80/9.84 (v178(constB123) <=> (v181(constB123) | v185(constB123))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17779, 384])).
% 13.80/9.84 tff(17781,plain,
% 13.80/9.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123))))))),
% 13.80/9.84 inference(rewrite,[status(thm)],[])).
% 13.80/9.84 tff(17782,plain,
% 13.80/9.84 ((v181(constB123) <=> (~((~v182(constB123)) | (~v158(constB123))))) <=> (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123)))))),
% 13.80/9.84 inference(rewrite,[status(thm)],[])).
% 13.80/9.84 tff(17783,plain,
% 13.80/9.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v182(constB123)) | (~v158(constB123)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123))))))),
% 13.80/9.84 inference(monotonicity,[status(thm)],[17782])).
% 13.80/9.84 tff(17784,plain,
% 13.80/9.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v182(constB123)) | (~v158(constB123)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123))))))),
% 13.80/9.84 inference(transitivity,[status(thm)],[17783, 17781])).
% 13.80/9.84 tff(17785,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v182(constB123)) | (~v158(constB123)))))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17786,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123)))))),
% 13.80/9.84 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 13.80/9.84 tff(17787,plain,
% 13.80/9.84 (v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123))))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17786, 444])).
% 13.80/9.84 tff(17788,plain,
% 13.80/9.84 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB123)) <=> v183(constB123))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17789,plain,
% 13.80/9.84 ((~v182(constB123)) <=> v183(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17788, 205])).
% 13.80/9.84 tff(17790,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB123) <=> (v184(constB123) | v26(constB123)))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17791,plain,
% 13.80/9.84 (v183(constB123) <=> (v184(constB123) | v26(constB123))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17790, 214])).
% 13.80/9.84 tff(17792,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17793,plain,
% 13.80/9.84 (v184(constB123) <=> (~((~v39(constB123)) | (~v9(constB123))))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17792, 138])).
% 13.80/9.84 tff(17794,plain,
% 13.80/9.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 13.80/9.84 inference(rewrite,[status(thm)],[])).
% 13.80/9.84 tff(17795,plain,
% 13.80/9.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17796,plain,
% 13.80/9.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123))),
% 13.80/9.84 inference(modus_ponens,[status(thm)],[17795, 17794])).
% 13.80/9.84 tff(17797,plain,
% 13.80/9.84 (v13(constB124) <=> v9(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17796, 17774, 228])).
% 13.80/9.84 tff(17798,plain,
% 13.80/9.84 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB124) <=> v13(constB124))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17799,plain,
% 13.80/9.84 (v6(constB124) <=> v13(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17798, 242])).
% 13.80/9.84 tff(17800,plain,
% 13.80/9.84 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB124)) <=> v6(constB124))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17801,plain,
% 13.80/9.84 ((~v21(constB124)) <=> v6(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17800, 251])).
% 13.80/9.84 tff(17802,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB124) <=> (v20(constB124) | v21(constB124)))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17803,plain,
% 13.80/9.84 (v19(constB124) <=> (v20(constB124) | v21(constB124))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17802, 260])).
% 13.80/9.84 tff(17804,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17805,plain,
% 13.80/9.84 (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124))))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17804, 272])).
% 13.80/9.84 tff(17806,plain,
% 13.80/9.84 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB124)) <=> v18(constB124))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17807,plain,
% 13.80/9.84 ((~v4(constB124)) <=> v18(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17806, 281])).
% 13.80/9.84 tff(17808,plain,
% 13.80/9.84 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB124)),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17809,plain,
% 13.80/9.84 (v4(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17808, 290])).
% 13.80/9.84 tff(17810,plain,
% 13.80/9.84 ((~((~v4(constB124)) <=> v18(constB124))) | (~v4(constB124)) | (~v18(constB124))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17811,plain,
% 13.80/9.84 (~v18(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17810, 17809, 17807])).
% 13.80/9.84 tff(17812,plain,
% 13.80/9.84 ((~(v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))) | v18(constB124) | ((~v19(constB124)) | (~v22(constB124)))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17813,plain,
% 13.80/9.84 ((~v19(constB124)) | (~v22(constB124))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17812, 17811, 17805])).
% 13.80/9.84 tff(17814,plain,
% 13.80/9.84 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB124) <=> (v1(constB124) | v6(constB124)))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17815,plain,
% 13.80/9.84 (v22(constB124) <=> (v1(constB124) | v6(constB124))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17814, 303])).
% 13.80/9.84 tff(17816,plain,
% 13.80/9.84 ((v1(constB124) | v6(constB124)) | (~v1(constB124))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17817,plain,
% 13.80/9.84 (v1(constB124) | v6(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17816, 17745])).
% 13.80/9.84 tff(17818,plain,
% 13.80/9.84 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124) | (~(v1(constB124) | v6(constB124)))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17819,plain,
% 13.80/9.84 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17818, 17817])).
% 13.80/9.84 tff(17820,plain,
% 13.80/9.84 (v22(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17819, 17815])).
% 13.80/9.84 tff(17821,plain,
% 13.80/9.84 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124)) | (~v22(constB124))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17822,plain,
% 13.80/9.84 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17821, 17820])).
% 13.80/9.84 tff(17823,plain,
% 13.80/9.84 (~v19(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17822, 17813])).
% 13.80/9.84 tff(17824,plain,
% 13.80/9.84 ((~(v19(constB124) <=> (v20(constB124) | v21(constB124)))) | v19(constB124) | (~(v20(constB124) | v21(constB124)))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17825,plain,
% 13.80/9.84 (~(v20(constB124) | v21(constB124))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17824, 17823, 17803])).
% 13.80/9.84 tff(17826,plain,
% 13.80/9.84 ((v20(constB124) | v21(constB124)) | (~v21(constB124))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17827,plain,
% 13.80/9.84 (~v21(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17826, 17825])).
% 13.80/9.84 tff(17828,plain,
% 13.80/9.84 ((~((~v21(constB124)) <=> v6(constB124))) | v21(constB124) | v6(constB124)),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17829,plain,
% 13.80/9.84 (v6(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17828, 17827, 17801])).
% 13.80/9.84 tff(17830,plain,
% 13.80/9.84 ((~(v6(constB124) <=> v13(constB124))) | (~v6(constB124)) | v13(constB124)),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17831,plain,
% 13.80/9.84 (v13(constB124)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17830, 17829, 17799])).
% 13.80/9.84 tff(17832,plain,
% 13.80/9.84 ((~(v13(constB124) <=> v9(constB123))) | (~v13(constB124)) | v9(constB123)),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17833,plain,
% 13.80/9.84 (v9(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17832, 17831, 17797])).
% 13.80/9.84 tff(17834,plain,
% 13.80/9.84 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB123)) <=> v1(constB123))),
% 13.80/9.84 inference(quant_inst,[status(thm)],[])).
% 13.80/9.84 tff(17835,plain,
% 13.80/9.84 ((~v39(constB123)) <=> v1(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17834, 147])).
% 13.80/9.84 tff(17836,plain,
% 13.80/9.84 ((~v1(constB123)) <=> (~v1(constB123))),
% 13.80/9.84 inference(rewrite,[status(thm)],[])).
% 13.80/9.84 tff(17837,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123')).
% 13.80/9.84 tff(17838,plain,
% 13.80/9.84 (~v1(constB123)),
% 13.80/9.84 inference(modus_ponens,[status(thm)],[17837, 17836])).
% 13.80/9.84 tff(17839,plain,
% 13.80/9.84 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123) | v1(constB123)),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17840,plain,
% 13.80/9.84 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17839, 17838])).
% 13.80/9.84 tff(17841,plain,
% 13.80/9.84 (v39(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17840, 17835])).
% 13.80/9.84 tff(17842,plain,
% 13.80/9.84 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v39(constB123)) | (~v9(constB123))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17843,plain,
% 13.80/9.84 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v9(constB123))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17842, 17841])).
% 13.80/9.84 tff(17844,plain,
% 13.80/9.84 (~((~v39(constB123)) | (~v9(constB123)))),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17843, 17833])).
% 13.80/9.84 tff(17845,plain,
% 13.80/9.84 ((~(v184(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))) | v184(constB123) | ((~v39(constB123)) | (~v9(constB123)))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17846,plain,
% 13.80/9.84 (v184(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17845, 17844, 17793])).
% 13.80/9.84 tff(17847,plain,
% 13.80/9.84 ((v184(constB123) | v26(constB123)) | (~v184(constB123))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17848,plain,
% 13.80/9.84 (v184(constB123) | v26(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17847, 17846])).
% 13.80/9.84 tff(17849,plain,
% 13.80/9.84 ((~(v183(constB123) <=> (v184(constB123) | v26(constB123)))) | v183(constB123) | (~(v184(constB123) | v26(constB123)))),
% 13.80/9.84 inference(tautology,[status(thm)],[])).
% 13.80/9.84 tff(17850,plain,
% 13.80/9.84 (v183(constB123)),
% 13.80/9.84 inference(unit_resolution,[status(thm)],[17849, 17848, 17791])).
% 13.80/9.84 tff(17851,plain,
% 13.80/9.84 ((~((~v182(constB123)) <=> v183(constB123))) | (~v182(constB123)) | (~v183(constB123))),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17852,plain,
% 13.80/9.85 (~v182(constB123)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17851, 17850, 17789])).
% 13.80/9.85 tff(17853,plain,
% 13.80/9.85 (((~v158(constB123)) | (~v182(constB123))) | v182(constB123)),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17854,plain,
% 13.80/9.85 ((~v158(constB123)) | (~v182(constB123))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17853, 17852])).
% 13.80/9.85 tff(17855,plain,
% 13.80/9.85 ((~(v181(constB123) <=> (~((~v158(constB123)) | (~v182(constB123)))))) | (~v181(constB123)) | (~((~v158(constB123)) | (~v182(constB123))))),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17856,plain,
% 13.80/9.85 (~v181(constB123)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17855, 17854, 17787])).
% 13.80/9.85 tff(17857,plain,
% 13.80/9.85 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB123) <=> (~((~v186(constB123)) | (~v187(constB123)))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17858,plain,
% 13.80/9.85 (v185(constB123) <=> (~((~v186(constB123)) | (~v187(constB123))))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17857, 396])).
% 13.80/9.85 tff(17859,plain,
% 13.80/9.85 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB123) <=> (~((~v184(constB123)) | (~v160(constB123)))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17860,plain,
% 13.80/9.85 (v187(constB123) <=> (~((~v184(constB123)) | (~v160(constB123))))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17859, 408])).
% 13.80/9.85 tff(17861,plain,
% 13.80/9.85 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB123) <=> v162(constB123))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17862,plain,
% 13.80/9.85 (v160(constB123) <=> v162(constB123)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17861, 549])).
% 13.80/9.85 tff(17863,plain,
% 13.80/9.85 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB123) <=> (v139(constB123) | v140(constB123)))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17864,plain,
% 13.80/9.85 (v170(constB123) <=> (v139(constB123) | v140(constB123))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17863, 2216])).
% 13.80/9.85 tff(17865,plain,
% 13.80/9.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0))))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17866,plain,
% 13.80/9.85 ((v140(constB123) <=> (~(v88(constB123, bitIndex1) | v88(constB123, bitIndex2) | (~v88(constB123, bitIndex0))))) <=> (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17867,plain,
% 13.80/9.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex1) | v88(constB123, bitIndex2) | (~v88(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0))))))),
% 13.80/9.85 inference(monotonicity,[status(thm)],[17866])).
% 13.80/9.85 tff(17868,plain,
% 13.80/9.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex1) | v88(constB123, bitIndex2) | (~v88(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0))))))),
% 13.80/9.85 inference(transitivity,[status(thm)],[17867, 17865])).
% 13.80/9.85 tff(17869,plain,
% 13.80/9.85 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex1) | v88(constB123, bitIndex2) | (~v88(constB123, bitIndex0)))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17870,plain,
% 13.80/9.85 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 13.80/9.85 tff(17871,plain,
% 13.80/9.85 (v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0))))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17870, 2250])).
% 13.80/9.85 tff(17872,plain,
% 13.80/9.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB123, bitIndex2) <=> v90(constB123, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB123, bitIndex2) <=> v90(constB123, bitIndex2)))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17873,plain,
% 13.80/9.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB123, bitIndex2) <=> v90(constB123, bitIndex2)))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17874,plain,
% 13.80/9.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB123, bitIndex2) <=> v90(constB123, bitIndex2))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17873, 17872])).
% 13.80/9.85 tff(17875,plain,
% 13.80/9.85 (v88(constB123, bitIndex2) <=> v90(constB123, bitIndex2)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17874, 579, 576])).
% 13.80/9.85 tff(17876,plain,
% 13.80/9.85 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17877,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122')).
% 13.80/9.85 tff(17878,plain,
% 13.80/9.85 (nextState(constB122, constB123)),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 13.80/9.85 tff(17879,plain,
% 13.80/9.85 (((~![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))))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17880,plain,
% 13.80/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17881,plain,
% 13.80/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 13.80/9.85 tff(17882,plain,
% 13.80/9.85 (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17881, 17878, 596])).
% 13.80/9.85 tff(17883,plain,
% 13.80/9.85 (((~![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))))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17884,plain,
% 13.80/9.85 (((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17885,plain,
% 13.80/9.85 (((~![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)))))))),
% 13.80/9.85 inference(monotonicity,[status(thm)],[17884])).
% 13.80/9.85 tff(17886,plain,
% 13.80/9.85 (((~![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))))))),
% 13.80/9.85 inference(transitivity,[status(thm)],[17885, 17883])).
% 13.80/9.85 tff(17887,plain,
% 13.80/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17888,plain,
% 13.80/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17887, 17886])).
% 13.80/9.85 tff(17889,plain,
% 13.80/9.85 (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17888, 17878, 616])).
% 13.80/9.85 tff(17890,plain,
% 13.80/9.85 (((~v1(constB123)) | (~v102(constB123))) | v1(constB123)),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17891,plain,
% 13.80/9.85 ((~v1(constB123)) | (~v102(constB123))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17890, 17838])).
% 13.80/9.85 tff(17892,plain,
% 13.80/9.85 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123)) | (~((~v1(constB123)) | (~v102(constB123))))),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17893,plain,
% 13.80/9.85 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17892, 17891])).
% 13.80/9.85 tff(17894,plain,
% 13.80/9.85 (~v101(constB123)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17893, 17889])).
% 13.80/9.85 tff(17895,plain,
% 13.80/9.85 (((~v101(constB123)) | (~v110(constB123))) | v101(constB123)),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17896,plain,
% 13.80/9.85 ((~v101(constB123)) | (~v110(constB123))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17895, 17894])).
% 13.80/9.85 tff(17897,plain,
% 13.80/9.85 ((~(v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))) | (~v100(constB123)) | (~((~v101(constB123)) | (~v110(constB123))))),
% 13.80/9.85 inference(tautology,[status(thm)],[])).
% 13.80/9.85 tff(17898,plain,
% 13.80/9.85 (~v100(constB123)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17897, 17896, 17882])).
% 13.80/9.85 tff(17899,plain,
% 13.80/9.85 (((~![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))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17900,plain,
% 13.80/9.85 ((~![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))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17901,plain,
% 13.80/9.85 ((~![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)))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17900, 17899])).
% 13.80/9.85 tff(17902,plain,
% 13.80/9.85 (v100(constB123) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17901, 17878, 645])).
% 13.80/9.85 tff(17903,plain,
% 13.80/9.85 (![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17902, 17898])).
% 13.80/9.85 tff(17904,plain,
% 13.80/9.85 (((~![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)))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17905,plain,
% 13.80/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17906,plain,
% 13.80/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 13.80/9.85 tff(17907,plain,
% 13.80/9.85 (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17906, 579, 17903])).
% 13.80/9.85 tff(17908,plain,
% 13.80/9.85 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17909,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121')).
% 13.80/9.85 tff(17910,plain,
% 13.80/9.85 (nextState(constB121, constB122)),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17909, 17908])).
% 13.80/9.85 tff(17911,plain,
% 13.80/9.85 (((~![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))))))),
% 13.80/9.85 inference(rewrite,[status(thm)],[])).
% 13.80/9.85 tff(17912,plain,
% 13.80/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 13.80/9.85 inference(quant_inst,[status(thm)],[])).
% 13.80/9.85 tff(17913,plain,
% 13.80/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))),
% 13.80/9.85 inference(modus_ponens,[status(thm)],[17912, 17911])).
% 13.80/9.85 tff(17914,plain,
% 13.80/9.85 (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))),
% 13.80/9.85 inference(unit_resolution,[status(thm)],[17913, 17910, 596])).
% 13.80/9.85 tff(17915,plain,
% 13.80/9.85 (((~![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))))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17916,plain,
% 13.80/9.86 (((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17917,plain,
% 13.80/9.86 (((~![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)))))))),
% 13.80/9.86 inference(monotonicity,[status(thm)],[17916])).
% 13.80/9.86 tff(17918,plain,
% 13.80/9.86 (((~![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))))))),
% 13.80/9.86 inference(transitivity,[status(thm)],[17917, 17915])).
% 13.80/9.86 tff(17919,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17920,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 13.80/9.86 tff(17921,plain,
% 13.80/9.86 (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17920, 17910, 616])).
% 13.80/9.86 tff(17922,plain,
% 13.80/9.86 (((~![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)))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17923,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17924,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 13.80/9.86 tff(17925,plain,
% 13.80/9.86 ((~v102(constB122)) <=> v104(constB122)),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17924, 17910, 678])).
% 13.80/9.86 tff(17926,plain,
% 13.80/9.86 (((~![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)))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17927,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17928,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 13.80/9.86 tff(17929,plain,
% 13.80/9.86 (v104(constB122) <=> v1(constB121)),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17928, 17910, 692])).
% 13.80/9.86 tff(17930,plain,
% 13.80/9.86 ((~v1(constB121)) <=> (~v1(constB121))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17931,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121')).
% 13.80/9.86 tff(17932,plain,
% 13.80/9.86 (~v1(constB121)),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17931, 17930])).
% 13.80/9.86 tff(17933,plain,
% 13.80/9.86 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122)) | v1(constB121)),
% 13.80/9.86 inference(tautology,[status(thm)],[])).
% 13.80/9.86 tff(17934,plain,
% 13.80/9.86 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17933, 17932])).
% 13.80/9.86 tff(17935,plain,
% 13.80/9.86 (~v104(constB122)),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17934, 17929])).
% 13.80/9.86 tff(17936,plain,
% 13.80/9.86 ((~((~v102(constB122)) <=> v104(constB122))) | v102(constB122) | v104(constB122)),
% 13.80/9.86 inference(tautology,[status(thm)],[])).
% 13.80/9.86 tff(17937,plain,
% 13.80/9.86 (v102(constB122)),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17936, 17935, 17925])).
% 13.80/9.86 tff(17938,plain,
% 13.80/9.86 (v1(constB122) <=> v1(constB122)),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17939,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122')).
% 13.80/9.86 tff(17940,plain,
% 13.80/9.86 (v1(constB122)),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17939, 17938])).
% 13.80/9.86 tff(17941,plain,
% 13.80/9.86 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v1(constB122)) | (~v102(constB122))),
% 13.80/9.86 inference(tautology,[status(thm)],[])).
% 13.80/9.86 tff(17942,plain,
% 13.80/9.86 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v102(constB122))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17941, 17940])).
% 13.80/9.86 tff(17943,plain,
% 13.80/9.86 (~((~v1(constB122)) | (~v102(constB122)))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17942, 17937])).
% 13.80/9.86 tff(17944,plain,
% 13.80/9.86 ((~(v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))) | v101(constB122) | ((~v1(constB122)) | (~v102(constB122)))),
% 13.80/9.86 inference(tautology,[status(thm)],[])).
% 13.80/9.86 tff(17945,plain,
% 13.80/9.86 (v101(constB122)),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17944, 17943, 17921])).
% 13.80/9.86 tff(17946,plain,
% 13.80/9.86 (((~![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)))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17947,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17948,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 13.80/9.86 tff(17949,plain,
% 13.80/9.86 (v110(constB122) <=> v108(constB121)),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17948, 17910, 722])).
% 13.80/9.86 tff(17950,plain,
% 13.80/9.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB121) <=> (v111(constB121) | v112(constB121)))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17951,plain,
% 13.80/9.86 (v108(constB121) <=> (v111(constB121) | v112(constB121))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17950, 733])).
% 13.80/9.86 tff(17952,plain,
% 13.80/9.86 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17953,plain,
% 13.80/9.86 (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121))))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17952, 745])).
% 13.80/9.86 tff(17954,plain,
% 13.80/9.86 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB121) <=> (v114(constB121) | v125(constB121)))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17955,plain,
% 13.80/9.86 (v113(constB121) <=> (v114(constB121) | v125(constB121))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17954, 754])).
% 13.80/9.86 tff(17956,plain,
% 13.80/9.86 (((~![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)))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17957,plain,
% 13.80/9.86 ((v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2))))) <=> (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17958,plain,
% 13.80/9.86 (((~![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)))))),
% 13.80/9.86 inference(monotonicity,[status(thm)],[17957])).
% 13.80/9.86 tff(17959,plain,
% 13.80/9.86 (((~![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)))))),
% 13.80/9.86 inference(transitivity,[status(thm)],[17958, 17956])).
% 13.80/9.86 tff(17960,plain,
% 13.80/9.86 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17961,plain,
% 13.80/9.86 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17960, 17959])).
% 13.80/9.86 tff(17962,plain,
% 13.80/9.86 (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17961, 3458])).
% 13.80/9.86 tff(17963,plain,
% 13.80/9.86 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17964,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120')).
% 13.80/9.86 tff(17965,plain,
% 13.80/9.86 (nextState(constB120, constB121)),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17964, 17963])).
% 13.80/9.86 tff(17966,plain,
% 13.80/9.86 (((~![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))))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17967,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17968,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17967, 17966])).
% 13.80/9.86 tff(17969,plain,
% 13.80/9.86 (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17968, 17965, 596])).
% 13.80/9.86 tff(17970,plain,
% 13.80/9.86 (((~![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))))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17971,plain,
% 13.80/9.86 (((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 13.80/9.86 inference(rewrite,[status(thm)],[])).
% 13.80/9.86 tff(17972,plain,
% 13.80/9.86 (((~![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)))))))),
% 13.80/9.86 inference(monotonicity,[status(thm)],[17971])).
% 13.80/9.86 tff(17973,plain,
% 13.80/9.86 (((~![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))))))),
% 13.80/9.86 inference(transitivity,[status(thm)],[17972, 17970])).
% 13.80/9.86 tff(17974,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))),
% 13.80/9.86 inference(quant_inst,[status(thm)],[])).
% 13.80/9.86 tff(17975,plain,
% 13.80/9.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))),
% 13.80/9.86 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 13.80/9.86 tff(17976,plain,
% 13.80/9.86 (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17975, 17965, 616])).
% 13.80/9.86 tff(17977,plain,
% 13.80/9.86 (((~v1(constB121)) | (~v102(constB121))) | v1(constB121)),
% 13.80/9.86 inference(tautology,[status(thm)],[])).
% 13.80/9.86 tff(17978,plain,
% 13.80/9.86 ((~v1(constB121)) | (~v102(constB121))),
% 13.80/9.86 inference(unit_resolution,[status(thm)],[17977, 17932])).
% 13.80/9.86 tff(17979,plain,
% 13.80/9.86 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121)) | (~((~v1(constB121)) | (~v102(constB121))))),
% 13.80/9.86 inference(tautology,[status(thm)],[])).
% 13.80/9.86 tff(17980,plain,
% 13.80/9.86 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17979, 17978])).
% 13.80/9.87 tff(17981,plain,
% 13.80/9.87 (~v101(constB121)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17980, 17976])).
% 13.80/9.87 tff(17982,plain,
% 13.80/9.87 (((~v101(constB121)) | (~v110(constB121))) | v101(constB121)),
% 13.80/9.87 inference(tautology,[status(thm)],[])).
% 13.80/9.87 tff(17983,plain,
% 13.80/9.87 ((~v101(constB121)) | (~v110(constB121))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17982, 17981])).
% 13.80/9.87 tff(17984,plain,
% 13.80/9.87 ((~(v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))) | (~v100(constB121)) | (~((~v101(constB121)) | (~v110(constB121))))),
% 13.80/9.87 inference(tautology,[status(thm)],[])).
% 13.80/9.87 tff(17985,plain,
% 13.80/9.87 (~v100(constB121)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17984, 17983, 17969])).
% 13.80/9.87 tff(17986,plain,
% 13.80/9.87 (((~![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))))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(17987,plain,
% 13.80/9.87 ((~![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))))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(17988,plain,
% 13.80/9.87 ((~![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)))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[17987, 17986])).
% 13.80/9.87 tff(17989,plain,
% 13.80/9.87 (v100(constB121) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17988, 17965, 645])).
% 13.80/9.87 tff(17990,plain,
% 13.80/9.87 (![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17989, 17985])).
% 13.80/9.87 tff(17991,plain,
% 13.80/9.87 (((~![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)))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(17992,plain,
% 13.80/9.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(17993,plain,
% 13.80/9.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[17992, 17991])).
% 13.80/9.87 tff(17994,plain,
% 13.80/9.87 (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[17993, 579, 17990])).
% 13.80/9.87 tff(17995,plain,
% 13.80/9.87 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(17996,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119')).
% 13.80/9.87 tff(17997,plain,
% 13.80/9.87 (nextState(constB119, constB120)),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[17996, 17995])).
% 13.80/9.87 tff(17998,plain,
% 13.80/9.87 (((~![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))))))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(17999,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18000,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 13.80/9.87 tff(18001,plain,
% 13.80/9.87 (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18000, 17997, 596])).
% 13.80/9.87 tff(18002,plain,
% 13.80/9.87 (((~![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))))))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18003,plain,
% 13.80/9.87 (((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18004,plain,
% 13.80/9.87 (((~![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)))))))),
% 13.80/9.87 inference(monotonicity,[status(thm)],[18003])).
% 13.80/9.87 tff(18005,plain,
% 13.80/9.87 (((~![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))))))),
% 13.80/9.87 inference(transitivity,[status(thm)],[18004, 18002])).
% 13.80/9.87 tff(18006,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18007,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[18006, 18005])).
% 13.80/9.87 tff(18008,plain,
% 13.80/9.87 (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18007, 17997, 616])).
% 13.80/9.87 tff(18009,plain,
% 13.80/9.87 (((~![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)))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18010,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18011,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 13.80/9.87 tff(18012,plain,
% 13.80/9.87 ((~v102(constB120)) <=> v104(constB120)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18011, 17997, 678])).
% 13.80/9.87 tff(18013,plain,
% 13.80/9.87 (((~![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)))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18014,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18015,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 13.80/9.87 tff(18016,plain,
% 13.80/9.87 (v104(constB120) <=> v1(constB119)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18015, 17997, 692])).
% 13.80/9.87 tff(18017,plain,
% 13.80/9.87 ((~v1(constB119)) <=> (~v1(constB119))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18018,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119')).
% 13.80/9.87 tff(18019,plain,
% 13.80/9.87 (~v1(constB119)),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 13.80/9.87 tff(18020,plain,
% 13.80/9.87 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120)) | v1(constB119)),
% 13.80/9.87 inference(tautology,[status(thm)],[])).
% 13.80/9.87 tff(18021,plain,
% 13.80/9.87 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18020, 18019])).
% 13.80/9.87 tff(18022,plain,
% 13.80/9.87 (~v104(constB120)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18021, 18016])).
% 13.80/9.87 tff(18023,plain,
% 13.80/9.87 ((~((~v102(constB120)) <=> v104(constB120))) | v102(constB120) | v104(constB120)),
% 13.80/9.87 inference(tautology,[status(thm)],[])).
% 13.80/9.87 tff(18024,plain,
% 13.80/9.87 (v102(constB120)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18023, 18022, 18012])).
% 13.80/9.87 tff(18025,plain,
% 13.80/9.87 (v1(constB120) <=> v1(constB120)),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18026,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120')).
% 13.80/9.87 tff(18027,plain,
% 13.80/9.87 (v1(constB120)),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 13.80/9.87 tff(18028,plain,
% 13.80/9.87 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v1(constB120)) | (~v102(constB120))),
% 13.80/9.87 inference(tautology,[status(thm)],[])).
% 13.80/9.87 tff(18029,plain,
% 13.80/9.87 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v102(constB120))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18028, 18027])).
% 13.80/9.87 tff(18030,plain,
% 13.80/9.87 (~((~v1(constB120)) | (~v102(constB120)))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18029, 18024])).
% 13.80/9.87 tff(18031,plain,
% 13.80/9.87 ((~(v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))) | v101(constB120) | ((~v1(constB120)) | (~v102(constB120)))),
% 13.80/9.87 inference(tautology,[status(thm)],[])).
% 13.80/9.87 tff(18032,plain,
% 13.80/9.87 (v101(constB120)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18031, 18030, 18008])).
% 13.80/9.87 tff(18033,plain,
% 13.80/9.87 (((~![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)))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18034,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18035,plain,
% 13.80/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119))),
% 13.80/9.87 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 13.80/9.87 tff(18036,plain,
% 13.80/9.87 (v110(constB120) <=> v108(constB119)),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18035, 17997, 722])).
% 13.80/9.87 tff(18037,plain,
% 13.80/9.87 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB119) <=> (v111(constB119) | v112(constB119)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18038,plain,
% 13.80/9.87 (v108(constB119) <=> (v111(constB119) | v112(constB119))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18037, 733])).
% 13.80/9.87 tff(18039,plain,
% 13.80/9.87 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18040,plain,
% 13.80/9.87 (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119))))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18039, 745])).
% 13.80/9.87 tff(18041,plain,
% 13.80/9.87 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB119) <=> (v114(constB119) | v125(constB119)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18042,plain,
% 13.80/9.87 (v113(constB119) <=> (v114(constB119) | v125(constB119))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18041, 754])).
% 13.80/9.87 tff(18043,plain,
% 13.80/9.87 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB119) <=> (v115(constB119) | v124(constB119)))),
% 13.80/9.87 inference(quant_inst,[status(thm)],[])).
% 13.80/9.87 tff(18044,plain,
% 13.80/9.87 (v114(constB119) <=> (v115(constB119) | v124(constB119))),
% 13.80/9.87 inference(unit_resolution,[status(thm)],[18043, 763])).
% 13.80/9.87 tff(18045,plain,
% 13.80/9.87 (((~![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))))))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18046,plain,
% 13.80/9.87 ((v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2))))) <=> (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))),
% 13.80/9.87 inference(rewrite,[status(thm)],[])).
% 13.80/9.87 tff(18047,plain,
% 13.80/9.87 (((~![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))))))),
% 13.80/9.87 inference(monotonicity,[status(thm)],[18046])).
% 13.80/9.87 tff(18048,plain,
% 13.80/9.87 (((~![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))))))),
% 13.80/9.88 inference(transitivity,[status(thm)],[18047, 18045])).
% 13.80/9.88 tff(18049,plain,
% 13.80/9.88 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18050,plain,
% 13.80/9.88 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 13.80/9.88 tff(18051,plain,
% 13.80/9.88 (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18050, 2651])).
% 13.80/9.88 tff(18052,plain,
% 13.80/9.88 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18053,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118')).
% 13.80/9.88 tff(18054,plain,
% 13.80/9.88 (nextState(constB118, constB119)),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18053, 18052])).
% 13.80/9.88 tff(18055,plain,
% 13.80/9.88 (((~![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))))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18056,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18057,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18056, 18055])).
% 13.80/9.88 tff(18058,plain,
% 13.80/9.88 (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18057, 18054, 596])).
% 13.80/9.88 tff(18059,plain,
% 13.80/9.88 (((~![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))))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18060,plain,
% 13.80/9.88 (((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18061,plain,
% 13.80/9.88 (((~![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)))))))),
% 13.80/9.88 inference(monotonicity,[status(thm)],[18060])).
% 13.80/9.88 tff(18062,plain,
% 13.80/9.88 (((~![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))))))),
% 13.80/9.88 inference(transitivity,[status(thm)],[18061, 18059])).
% 13.80/9.88 tff(18063,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18064,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 13.80/9.88 tff(18065,plain,
% 13.80/9.88 (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18064, 18054, 616])).
% 13.80/9.88 tff(18066,plain,
% 13.80/9.88 (((~v1(constB119)) | (~v102(constB119))) | v1(constB119)),
% 13.80/9.88 inference(tautology,[status(thm)],[])).
% 13.80/9.88 tff(18067,plain,
% 13.80/9.88 ((~v1(constB119)) | (~v102(constB119))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18066, 18019])).
% 13.80/9.88 tff(18068,plain,
% 13.80/9.88 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119)) | (~((~v1(constB119)) | (~v102(constB119))))),
% 13.80/9.88 inference(tautology,[status(thm)],[])).
% 13.80/9.88 tff(18069,plain,
% 13.80/9.88 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18068, 18067])).
% 13.80/9.88 tff(18070,plain,
% 13.80/9.88 (~v101(constB119)),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18069, 18065])).
% 13.80/9.88 tff(18071,plain,
% 13.80/9.88 (((~v101(constB119)) | (~v110(constB119))) | v101(constB119)),
% 13.80/9.88 inference(tautology,[status(thm)],[])).
% 13.80/9.88 tff(18072,plain,
% 13.80/9.88 ((~v101(constB119)) | (~v110(constB119))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18071, 18070])).
% 13.80/9.88 tff(18073,plain,
% 13.80/9.88 ((~(v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))) | (~v100(constB119)) | (~((~v101(constB119)) | (~v110(constB119))))),
% 13.80/9.88 inference(tautology,[status(thm)],[])).
% 13.80/9.88 tff(18074,plain,
% 13.80/9.88 (~v100(constB119)),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18073, 18072, 18058])).
% 13.80/9.88 tff(18075,plain,
% 13.80/9.88 (((~![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))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18076,plain,
% 13.80/9.88 ((~![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))))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18077,plain,
% 13.80/9.88 ((~![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)))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18076, 18075])).
% 13.80/9.88 tff(18078,plain,
% 13.80/9.88 (v100(constB119) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18077, 18054, 645])).
% 13.80/9.88 tff(18079,plain,
% 13.80/9.88 (![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18078, 18074])).
% 13.80/9.88 tff(18080,plain,
% 13.80/9.88 (((~![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)))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18081,plain,
% 13.80/9.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18082,plain,
% 13.80/9.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 13.80/9.88 tff(18083,plain,
% 13.80/9.88 (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18082, 579, 18079])).
% 13.80/9.88 tff(18084,plain,
% 13.80/9.88 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18085,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117')).
% 13.80/9.88 tff(18086,plain,
% 13.80/9.88 (nextState(constB117, constB118)),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 13.80/9.88 tff(18087,plain,
% 13.80/9.88 (((~![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))))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18088,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18089,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18088, 18087])).
% 13.80/9.88 tff(18090,plain,
% 13.80/9.88 (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18089, 18086, 596])).
% 13.80/9.88 tff(18091,plain,
% 13.80/9.88 (((~![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))))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18092,plain,
% 13.80/9.88 (((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18093,plain,
% 13.80/9.88 (((~![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)))))))),
% 13.80/9.88 inference(monotonicity,[status(thm)],[18092])).
% 13.80/9.88 tff(18094,plain,
% 13.80/9.88 (((~![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))))))),
% 13.80/9.88 inference(transitivity,[status(thm)],[18093, 18091])).
% 13.80/9.88 tff(18095,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18096,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 13.80/9.88 tff(18097,plain,
% 13.80/9.88 (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18096, 18086, 616])).
% 13.80/9.88 tff(18098,plain,
% 13.80/9.88 (((~![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)))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18099,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18100,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18099, 18098])).
% 13.80/9.88 tff(18101,plain,
% 13.80/9.88 ((~v102(constB118)) <=> v104(constB118)),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18100, 18086, 678])).
% 13.80/9.88 tff(18102,plain,
% 13.80/9.88 (((~![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)))),
% 13.80/9.88 inference(rewrite,[status(thm)],[])).
% 13.80/9.88 tff(18103,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 13.80/9.88 inference(quant_inst,[status(thm)],[])).
% 13.80/9.88 tff(18104,plain,
% 13.80/9.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117))),
% 13.80/9.88 inference(modus_ponens,[status(thm)],[18103, 18102])).
% 13.80/9.88 tff(18105,plain,
% 13.80/9.88 (v104(constB118) <=> v1(constB117)),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18104, 18086, 692])).
% 13.80/9.88 tff(18106,plain,
% 13.80/9.88 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118)) | v1(constB117)),
% 13.80/9.88 inference(tautology,[status(thm)],[])).
% 13.80/9.88 tff(18107,plain,
% 13.80/9.88 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118))),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18106, 16313])).
% 13.80/9.88 tff(18108,plain,
% 13.80/9.88 (~v104(constB118)),
% 13.80/9.88 inference(unit_resolution,[status(thm)],[18107, 18105])).
% 13.80/9.88 tff(18109,plain,
% 13.80/9.88 ((~((~v102(constB118)) <=> v104(constB118))) | v102(constB118) | v104(constB118)),
% 13.80/9.88 inference(tautology,[status(thm)],[])).
% 13.80/9.88 tff(18110,plain,
% 13.80/9.89 (v102(constB118)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18109, 18108, 18101])).
% 13.80/9.89 tff(18111,plain,
% 13.80/9.89 (v1(constB118) <=> v1(constB118)),
% 13.80/9.89 inference(rewrite,[status(thm)],[])).
% 13.80/9.89 tff(18112,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118')).
% 13.80/9.89 tff(18113,plain,
% 13.80/9.89 (v1(constB118)),
% 13.80/9.89 inference(modus_ponens,[status(thm)],[18112, 18111])).
% 13.80/9.89 tff(18114,plain,
% 13.80/9.89 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v1(constB118)) | (~v102(constB118))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18115,plain,
% 13.80/9.89 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v102(constB118))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18114, 18113])).
% 13.80/9.89 tff(18116,plain,
% 13.80/9.89 (~((~v1(constB118)) | (~v102(constB118)))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18115, 18110])).
% 13.80/9.89 tff(18117,plain,
% 13.80/9.89 ((~(v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))) | v101(constB118) | ((~v1(constB118)) | (~v102(constB118)))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18118,plain,
% 13.80/9.89 (v101(constB118)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18117, 18116, 18097])).
% 13.80/9.89 tff(18119,plain,
% 13.80/9.89 (((~![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)))),
% 13.80/9.89 inference(rewrite,[status(thm)],[])).
% 13.80/9.89 tff(18120,plain,
% 13.80/9.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18121,plain,
% 13.80/9.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117))),
% 13.80/9.89 inference(modus_ponens,[status(thm)],[18120, 18119])).
% 13.80/9.89 tff(18122,plain,
% 13.80/9.89 (v110(constB118) <=> v108(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18121, 18086, 722])).
% 13.80/9.89 tff(18123,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB117) <=> (v111(constB117) | v112(constB117)))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18124,plain,
% 13.80/9.89 (v108(constB117) <=> (v111(constB117) | v112(constB117))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18123, 733])).
% 13.80/9.89 tff(18125,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18126,plain,
% 13.80/9.89 (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117))))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18125, 745])).
% 13.80/9.89 tff(18127,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB117) <=> (v114(constB117) | v125(constB117)))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18128,plain,
% 13.80/9.89 (v113(constB117) <=> (v114(constB117) | v125(constB117))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18127, 754])).
% 13.80/9.89 tff(18129,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB117) <=> (v115(constB117) | v124(constB117)))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18130,plain,
% 13.80/9.89 (v114(constB117) <=> (v115(constB117) | v124(constB117))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18129, 763])).
% 13.80/9.89 tff(18131,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB117) <=> (v116(constB117) | v123(constB117)))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18132,plain,
% 13.80/9.89 (v115(constB117) <=> (v116(constB117) | v123(constB117))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18131, 772])).
% 13.80/9.89 tff(18133,plain,
% 13.80/9.89 (((~![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)))))),
% 13.80/9.89 inference(rewrite,[status(thm)],[])).
% 13.80/9.89 tff(18134,plain,
% 13.80/9.89 ((v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2))))) <=> (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))),
% 13.80/9.89 inference(rewrite,[status(thm)],[])).
% 13.80/9.89 tff(18135,plain,
% 13.80/9.89 (((~![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)))))),
% 13.80/9.89 inference(monotonicity,[status(thm)],[18134])).
% 13.80/9.89 tff(18136,plain,
% 13.80/9.89 (((~![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)))))),
% 13.80/9.89 inference(transitivity,[status(thm)],[18135, 18133])).
% 13.80/9.89 tff(18137,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18138,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))),
% 13.80/9.89 inference(modus_ponens,[status(thm)],[18137, 18136])).
% 13.80/9.89 tff(18139,plain,
% 13.80/9.89 (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18138, 787])).
% 13.80/9.89 tff(18140,plain,
% 13.80/9.89 ((~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))) | (~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18141,plain,
% 13.80/9.89 (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18140, 16790, 16753, 16716])).
% 13.80/9.89 tff(18142,plain,
% 13.80/9.89 ((~(v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))) | v123(constB117) | ((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18143,plain,
% 13.80/9.89 (v123(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18142, 18141, 18139])).
% 13.80/9.89 tff(18144,plain,
% 13.80/9.89 ((v116(constB117) | v123(constB117)) | (~v123(constB117))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18145,plain,
% 13.80/9.89 (v116(constB117) | v123(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18144, 18143])).
% 13.80/9.89 tff(18146,plain,
% 13.80/9.89 ((~(v115(constB117) <=> (v116(constB117) | v123(constB117)))) | v115(constB117) | (~(v116(constB117) | v123(constB117)))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18147,plain,
% 13.80/9.89 (v115(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18146, 18145, 18132])).
% 13.80/9.89 tff(18148,plain,
% 13.80/9.89 ((v115(constB117) | v124(constB117)) | (~v115(constB117))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18149,plain,
% 13.80/9.89 (v115(constB117) | v124(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18148, 18147])).
% 13.80/9.89 tff(18150,plain,
% 13.80/9.89 ((~(v114(constB117) <=> (v115(constB117) | v124(constB117)))) | v114(constB117) | (~(v115(constB117) | v124(constB117)))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18151,plain,
% 13.80/9.89 (v114(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18150, 18149, 18130])).
% 13.80/9.89 tff(18152,plain,
% 13.80/9.89 ((v114(constB117) | v125(constB117)) | (~v114(constB117))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18153,plain,
% 13.80/9.89 (v114(constB117) | v125(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18152, 18151])).
% 13.80/9.89 tff(18154,plain,
% 13.80/9.89 ((~(v113(constB117) <=> (v114(constB117) | v125(constB117)))) | v113(constB117) | (~(v114(constB117) | v125(constB117)))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18155,plain,
% 13.80/9.89 (v113(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18154, 18153, 18128])).
% 13.80/9.89 tff(18156,plain,
% 13.80/9.89 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB117)) <=> v111(constB117))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18157,plain,
% 13.80/9.89 ((~v126(constB117)) <=> v111(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18156, 1345])).
% 13.80/9.89 tff(18158,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB117) <=> v26(constB117))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18159,plain,
% 13.80/9.89 (v111(constB117) <=> v26(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18158, 1357])).
% 13.80/9.89 tff(18160,plain,
% 13.80/9.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 13.80/9.89 inference(quant_inst,[status(thm)],[])).
% 13.80/9.89 tff(18161,plain,
% 13.80/9.89 (~v26(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18160, 1369])).
% 13.80/9.89 tff(18162,plain,
% 13.80/9.89 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117)) | v26(constB117)),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18163,plain,
% 13.80/9.89 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18162, 18161])).
% 13.80/9.89 tff(18164,plain,
% 13.80/9.89 (~v111(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18163, 18159])).
% 13.80/9.89 tff(18165,plain,
% 13.80/9.89 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117) | v111(constB117)),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18166,plain,
% 13.80/9.89 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18165, 18164])).
% 13.80/9.89 tff(18167,plain,
% 13.80/9.89 (v126(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18166, 18157])).
% 13.80/9.89 tff(18168,plain,
% 13.80/9.89 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117)) | (~v126(constB117))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18169,plain,
% 13.80/9.89 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18168, 18167])).
% 13.80/9.89 tff(18170,plain,
% 13.80/9.89 (~((~v113(constB117)) | (~v126(constB117)))),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18169, 18155])).
% 13.80/9.89 tff(18171,plain,
% 13.80/9.89 ((~(v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))) | v112(constB117) | ((~v113(constB117)) | (~v126(constB117)))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18172,plain,
% 13.80/9.89 (v112(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18171, 18170, 18126])).
% 13.80/9.89 tff(18173,plain,
% 13.80/9.89 ((v111(constB117) | v112(constB117)) | (~v112(constB117))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18174,plain,
% 13.80/9.89 (v111(constB117) | v112(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18173, 18172])).
% 13.80/9.89 tff(18175,plain,
% 13.80/9.89 ((~(v108(constB117) <=> (v111(constB117) | v112(constB117)))) | v108(constB117) | (~(v111(constB117) | v112(constB117)))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18176,plain,
% 13.80/9.89 (v108(constB117)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18175, 18174, 18124])).
% 13.80/9.89 tff(18177,plain,
% 13.80/9.89 ((~(v110(constB118) <=> v108(constB117))) | v110(constB118) | (~v108(constB117))),
% 13.80/9.89 inference(tautology,[status(thm)],[])).
% 13.80/9.89 tff(18178,plain,
% 13.80/9.89 (v110(constB118)),
% 13.80/9.89 inference(unit_resolution,[status(thm)],[18177, 18176, 18122])).
% 13.80/9.90 tff(18179,plain,
% 13.80/9.90 ((~((~v101(constB118)) | (~v110(constB118)))) | (~v101(constB118)) | (~v110(constB118))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18180,plain,
% 13.80/9.90 (~((~v101(constB118)) | (~v110(constB118)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18179, 18178, 18118])).
% 13.80/9.90 tff(18181,plain,
% 13.80/9.90 ((~(v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))) | v100(constB118) | ((~v101(constB118)) | (~v110(constB118)))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18182,plain,
% 13.80/9.90 (v100(constB118)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18181, 18180, 18090])).
% 13.80/9.90 tff(18183,plain,
% 13.80/9.90 (((~![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))))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18184,plain,
% 13.80/9.90 ((~![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))))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18185,plain,
% 13.80/9.90 ((~![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)))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18184, 18183])).
% 13.80/9.90 tff(18186,plain,
% 13.80/9.90 ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18185, 1405])).
% 13.80/9.90 tff(18187,plain,
% 13.80/9.90 (![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18186, 18182])).
% 13.80/9.90 tff(18188,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18189,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18190,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 13.80/9.90 tff(18191,plain,
% 13.80/9.90 (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18190, 579, 18187])).
% 13.80/9.90 tff(18192,plain,
% 13.80/9.90 (((~![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))))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18193,plain,
% 13.80/9.90 ((~![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))))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18194,plain,
% 13.80/9.90 ((~![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)))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 13.80/9.90 tff(18195,plain,
% 13.80/9.90 (![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18194, 18086, 1427])).
% 13.80/9.90 tff(18196,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18197,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18198,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 13.80/9.90 tff(18199,plain,
% 13.80/9.90 (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18198, 579, 18195])).
% 13.80/9.90 tff(18200,plain,
% 13.80/9.90 (((~![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))))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18201,plain,
% 13.80/9.90 ((~![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))))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18202,plain,
% 13.80/9.90 ((~![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)))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18201, 18200])).
% 13.80/9.90 tff(18203,plain,
% 13.80/9.90 (![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18202, 1448, 18164])).
% 13.80/9.90 tff(18204,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18205,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18206,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18205, 18204])).
% 13.80/9.90 tff(18207,plain,
% 13.80/9.90 (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18206, 579, 18203])).
% 13.80/9.90 tff(18208,plain,
% 13.80/9.90 (((~![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))))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18209,plain,
% 13.80/9.90 ((~![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))))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18210,plain,
% 13.80/9.90 ((~![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)))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 13.80/9.90 tff(18211,plain,
% 13.80/9.90 ((~v123(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18210, 2180])).
% 13.80/9.90 tff(18212,plain,
% 13.80/9.90 (![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18211, 18143])).
% 13.80/9.90 tff(18213,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18214,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b101(bitIndex2)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18215,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b101(bitIndex2))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 13.80/9.90 tff(18216,plain,
% 13.80/9.90 (v130(constB117, bitIndex2) <=> b101(bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18215, 579, 18212])).
% 13.80/9.90 tff(18217,plain,
% 13.80/9.90 ((~(v130(constB117, bitIndex2) <=> b101(bitIndex2))) | v130(constB117, bitIndex2) | (~b101(bitIndex2))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18218,plain,
% 13.80/9.90 ((~(v130(constB117, bitIndex2) <=> b101(bitIndex2))) | v130(constB117, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18217, 2192])).
% 13.80/9.90 tff(18219,plain,
% 13.80/9.90 (v130(constB117, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18218, 18216])).
% 13.80/9.90 tff(18220,plain,
% 13.80/9.90 ((~(v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2))) | v127(constB117, bitIndex2) | (~v130(constB117, bitIndex2))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18221,plain,
% 13.80/9.90 (v127(constB117, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18220, 18219, 18207])).
% 13.80/9.90 tff(18222,plain,
% 13.80/9.90 ((~(v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2))) | v129(constB118, bitIndex2) | (~v127(constB117, bitIndex2))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18223,plain,
% 13.80/9.90 (v129(constB118, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18222, 18221, 18199])).
% 13.80/9.90 tff(18224,plain,
% 13.80/9.90 ((~(v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18225,plain,
% 13.80/9.90 (v90(constB118, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18224, 18223, 18191])).
% 13.80/9.90 tff(18226,plain,
% 13.80/9.90 ((~(v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2))) | v90(constB119, bitIndex2) | (~v90(constB118, bitIndex2))),
% 13.80/9.90 inference(tautology,[status(thm)],[])).
% 13.80/9.90 tff(18227,plain,
% 13.80/9.90 (v90(constB119, bitIndex2)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18226, 18225, 18083])).
% 13.80/9.90 tff(18228,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18229,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18230,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18229, 18228])).
% 13.80/9.90 tff(18231,plain,
% 13.80/9.90 (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18230, 1275, 18079])).
% 13.80/9.90 tff(18232,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18233,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18234,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18233, 18232])).
% 13.80/9.90 tff(18235,plain,
% 13.80/9.90 (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18234, 1275, 18187])).
% 13.80/9.90 tff(18236,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18237,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18238,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 13.80/9.90 tff(18239,plain,
% 13.80/9.90 (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18238, 1275, 18195])).
% 13.80/9.90 tff(18240,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18241,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18242,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 13.80/9.90 tff(18243,plain,
% 13.80/9.90 (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)),
% 13.80/9.90 inference(unit_resolution,[status(thm)],[18242, 1275, 18203])).
% 13.80/9.90 tff(18244,plain,
% 13.80/9.90 (((~![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)))),
% 13.80/9.90 inference(rewrite,[status(thm)],[])).
% 13.80/9.90 tff(18245,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b101(bitIndex0)))),
% 13.80/9.90 inference(quant_inst,[status(thm)],[])).
% 13.80/9.90 tff(18246,plain,
% 13.80/9.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b101(bitIndex0))),
% 13.80/9.90 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 13.80/9.90 tff(18247,plain,
% 13.80/9.90 (v130(constB117, bitIndex0) <=> b101(bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18246, 1275, 18212])).
% 13.80/9.91 tff(18248,plain,
% 13.80/9.91 ((~(v130(constB117, bitIndex0) <=> b101(bitIndex0))) | v130(constB117, bitIndex0) | (~b101(bitIndex0))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18249,plain,
% 13.80/9.91 ((~(v130(constB117, bitIndex0) <=> b101(bitIndex0))) | v130(constB117, bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18248, 2351])).
% 13.80/9.91 tff(18250,plain,
% 13.80/9.91 (v130(constB117, bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18249, 18247])).
% 13.80/9.91 tff(18251,plain,
% 13.80/9.91 ((~(v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0))) | v127(constB117, bitIndex0) | (~v130(constB117, bitIndex0))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18252,plain,
% 13.80/9.91 (v127(constB117, bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18251, 18250, 18243])).
% 13.80/9.91 tff(18253,plain,
% 13.80/9.91 ((~(v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0))) | v129(constB118, bitIndex0) | (~v127(constB117, bitIndex0))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18254,plain,
% 13.80/9.91 (v129(constB118, bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18253, 18252, 18239])).
% 13.80/9.91 tff(18255,plain,
% 13.80/9.91 ((~(v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18256,plain,
% 13.80/9.91 (v90(constB118, bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18255, 18254, 18235])).
% 13.80/9.91 tff(18257,plain,
% 13.80/9.91 ((~(v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0))) | v90(constB119, bitIndex0) | (~v90(constB118, bitIndex0))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18258,plain,
% 13.80/9.91 (v90(constB119, bitIndex0)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18257, 18256, 18231])).
% 13.80/9.91 tff(18259,plain,
% 13.80/9.91 (((~![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)))),
% 13.80/9.91 inference(rewrite,[status(thm)],[])).
% 13.80/9.91 tff(18260,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18261,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1))),
% 13.80/9.91 inference(modus_ponens,[status(thm)],[18260, 18259])).
% 13.80/9.91 tff(18262,plain,
% 13.80/9.91 (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18261, 1288, 18079])).
% 13.80/9.91 tff(18263,plain,
% 13.80/9.91 (((~![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)))),
% 13.80/9.91 inference(rewrite,[status(thm)],[])).
% 13.80/9.91 tff(18264,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18265,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1))),
% 13.80/9.91 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 13.80/9.91 tff(18266,plain,
% 13.80/9.91 (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18265, 1288, 18187])).
% 13.80/9.91 tff(18267,plain,
% 13.80/9.91 (((~![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)))),
% 13.80/9.91 inference(rewrite,[status(thm)],[])).
% 13.80/9.91 tff(18268,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18269,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1))),
% 13.80/9.91 inference(modus_ponens,[status(thm)],[18268, 18267])).
% 13.80/9.91 tff(18270,plain,
% 13.80/9.91 (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18269, 1288, 18195])).
% 13.80/9.91 tff(18271,plain,
% 13.80/9.91 (((~![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)))),
% 13.80/9.91 inference(rewrite,[status(thm)],[])).
% 13.80/9.91 tff(18272,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18273,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1))),
% 13.80/9.91 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 13.80/9.91 tff(18274,plain,
% 13.80/9.91 (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18273, 1288, 18203])).
% 13.80/9.91 tff(18275,plain,
% 13.80/9.91 (((~![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)))),
% 13.80/9.91 inference(rewrite,[status(thm)],[])).
% 13.80/9.91 tff(18276,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b101(bitIndex1)))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18277,plain,
% 13.80/9.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b101(bitIndex1))),
% 13.80/9.91 inference(modus_ponens,[status(thm)],[18276, 18275])).
% 13.80/9.91 tff(18278,plain,
% 13.80/9.91 (v130(constB117, bitIndex1) <=> b101(bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18277, 1288, 18212])).
% 13.80/9.91 tff(18279,plain,
% 13.80/9.91 ((~(v130(constB117, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB117, bitIndex1)) | b101(bitIndex1)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18280,plain,
% 13.80/9.91 ((~(v130(constB117, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB117, bitIndex1))),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18279, 2391])).
% 13.80/9.91 tff(18281,plain,
% 13.80/9.91 (~v130(constB117, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18280, 18278])).
% 13.80/9.91 tff(18282,plain,
% 13.80/9.91 ((~(v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1))) | (~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18283,plain,
% 13.80/9.91 (~v127(constB117, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18282, 18281, 18274])).
% 13.80/9.91 tff(18284,plain,
% 13.80/9.91 ((~(v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1))) | (~v129(constB118, bitIndex1)) | v127(constB117, bitIndex1)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18285,plain,
% 13.80/9.91 (~v129(constB118, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18284, 18283, 18270])).
% 13.80/9.91 tff(18286,plain,
% 13.80/9.91 ((~(v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18287,plain,
% 13.80/9.91 (~v90(constB118, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18286, 18285, 18266])).
% 13.80/9.91 tff(18288,plain,
% 13.80/9.91 ((~(v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1))) | (~v90(constB119, bitIndex1)) | v90(constB118, bitIndex1)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18289,plain,
% 13.80/9.91 (~v90(constB119, bitIndex1)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18288, 18287, 18262])).
% 13.80/9.91 tff(18290,plain,
% 13.80/9.91 ((~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))) | (~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18291,plain,
% 13.80/9.91 (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18290, 18289, 18258, 18227])).
% 13.80/9.91 tff(18292,plain,
% 13.80/9.91 ((~(v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))) | v124(constB119) | ((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18293,plain,
% 13.80/9.91 (v124(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18292, 18291, 18051])).
% 13.80/9.91 tff(18294,plain,
% 13.80/9.91 ((v115(constB119) | v124(constB119)) | (~v124(constB119))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18295,plain,
% 13.80/9.91 (v115(constB119) | v124(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18294, 18293])).
% 13.80/9.91 tff(18296,plain,
% 13.80/9.91 ((~(v114(constB119) <=> (v115(constB119) | v124(constB119)))) | v114(constB119) | (~(v115(constB119) | v124(constB119)))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18297,plain,
% 13.80/9.91 (v114(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18296, 18295, 18044])).
% 13.80/9.91 tff(18298,plain,
% 13.80/9.91 ((v114(constB119) | v125(constB119)) | (~v114(constB119))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18299,plain,
% 13.80/9.91 (v114(constB119) | v125(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18298, 18297])).
% 13.80/9.91 tff(18300,plain,
% 13.80/9.91 ((~(v113(constB119) <=> (v114(constB119) | v125(constB119)))) | v113(constB119) | (~(v114(constB119) | v125(constB119)))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18301,plain,
% 13.80/9.91 (v113(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18300, 18299, 18042])).
% 13.80/9.91 tff(18302,plain,
% 13.80/9.91 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB119)) <=> v111(constB119))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18303,plain,
% 13.80/9.91 ((~v126(constB119)) <=> v111(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18302, 1345])).
% 13.80/9.91 tff(18304,plain,
% 13.80/9.91 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB119) <=> v26(constB119))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18305,plain,
% 13.80/9.91 (v111(constB119) <=> v26(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18304, 1357])).
% 13.80/9.91 tff(18306,plain,
% 13.80/9.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 13.80/9.91 inference(quant_inst,[status(thm)],[])).
% 13.80/9.91 tff(18307,plain,
% 13.80/9.91 (~v26(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18306, 1369])).
% 13.80/9.91 tff(18308,plain,
% 13.80/9.91 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119)) | v26(constB119)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18309,plain,
% 13.80/9.91 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119))),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18308, 18307])).
% 13.80/9.91 tff(18310,plain,
% 13.80/9.91 (~v111(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18309, 18305])).
% 13.80/9.91 tff(18311,plain,
% 13.80/9.91 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119) | v111(constB119)),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18312,plain,
% 13.80/9.91 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18311, 18310])).
% 13.80/9.91 tff(18313,plain,
% 13.80/9.91 (v126(constB119)),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18312, 18303])).
% 13.80/9.91 tff(18314,plain,
% 13.80/9.91 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119)) | (~v126(constB119))),
% 13.80/9.91 inference(tautology,[status(thm)],[])).
% 13.80/9.91 tff(18315,plain,
% 13.80/9.91 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119))),
% 13.80/9.91 inference(unit_resolution,[status(thm)],[18314, 18313])).
% 13.87/9.92 tff(18316,plain,
% 13.87/9.92 (~((~v113(constB119)) | (~v126(constB119)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18315, 18301])).
% 13.87/9.92 tff(18317,plain,
% 13.87/9.92 ((~(v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))) | v112(constB119) | ((~v113(constB119)) | (~v126(constB119)))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18318,plain,
% 13.87/9.92 (v112(constB119)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18317, 18316, 18040])).
% 13.87/9.92 tff(18319,plain,
% 13.87/9.92 ((v111(constB119) | v112(constB119)) | (~v112(constB119))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18320,plain,
% 13.87/9.92 (v111(constB119) | v112(constB119)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18319, 18318])).
% 13.87/9.92 tff(18321,plain,
% 13.87/9.92 ((~(v108(constB119) <=> (v111(constB119) | v112(constB119)))) | v108(constB119) | (~(v111(constB119) | v112(constB119)))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18322,plain,
% 13.87/9.92 (v108(constB119)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18321, 18320, 18038])).
% 13.87/9.92 tff(18323,plain,
% 13.87/9.92 ((~(v110(constB120) <=> v108(constB119))) | v110(constB120) | (~v108(constB119))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18324,plain,
% 13.87/9.92 (v110(constB120)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18323, 18322, 18036])).
% 13.87/9.92 tff(18325,plain,
% 13.87/9.92 ((~((~v101(constB120)) | (~v110(constB120)))) | (~v101(constB120)) | (~v110(constB120))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18326,plain,
% 13.87/9.92 (~((~v101(constB120)) | (~v110(constB120)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18325, 18324, 18032])).
% 13.87/9.92 tff(18327,plain,
% 13.87/9.92 ((~(v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))) | v100(constB120) | ((~v101(constB120)) | (~v110(constB120)))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18328,plain,
% 13.87/9.92 (v100(constB120)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18327, 18326, 18001])).
% 13.87/9.92 tff(18329,plain,
% 13.87/9.92 (((~![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))))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18330,plain,
% 13.87/9.92 ((~![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))))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18331,plain,
% 13.87/9.92 ((~![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)))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 13.87/9.92 tff(18332,plain,
% 13.87/9.92 ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18331, 1405])).
% 13.87/9.92 tff(18333,plain,
% 13.87/9.92 (![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18332, 18328])).
% 13.87/9.92 tff(18334,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18335,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18336,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18335, 18334])).
% 13.87/9.92 tff(18337,plain,
% 13.87/9.92 (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18336, 579, 18333])).
% 13.87/9.92 tff(18338,plain,
% 13.87/9.92 (((~![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))))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18339,plain,
% 13.87/9.92 ((~![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))))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18340,plain,
% 13.87/9.92 ((~![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)))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18339, 18338])).
% 13.87/9.92 tff(18341,plain,
% 13.87/9.92 (![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18340, 17997, 1427])).
% 13.87/9.92 tff(18342,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18343,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18344,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18343, 18342])).
% 13.87/9.92 tff(18345,plain,
% 13.87/9.92 (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18344, 579, 18341])).
% 13.87/9.92 tff(18346,plain,
% 13.87/9.92 (((~![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))))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18347,plain,
% 13.87/9.92 ((~![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))))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18348,plain,
% 13.87/9.92 ((~![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)))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18347, 18346])).
% 13.87/9.92 tff(18349,plain,
% 13.87/9.92 (![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18348, 1448, 18310])).
% 13.87/9.92 tff(18350,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18351,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18352,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 13.87/9.92 tff(18353,plain,
% 13.87/9.92 (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18352, 579, 18349])).
% 13.87/9.92 tff(18354,plain,
% 13.87/9.92 (((~![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))))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18355,plain,
% 13.87/9.92 ((~![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))))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18356,plain,
% 13.87/9.92 ((~![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)))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18355, 18354])).
% 13.87/9.92 tff(18357,plain,
% 13.87/9.92 ((~v124(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18356, 2735])).
% 13.87/9.92 tff(18358,plain,
% 13.87/9.92 (![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18357, 18293])).
% 13.87/9.92 tff(18359,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18360,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b110(bitIndex2)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18361,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b110(bitIndex2))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 13.87/9.92 tff(18362,plain,
% 13.87/9.92 (v130(constB119, bitIndex2) <=> b110(bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18361, 579, 18358])).
% 13.87/9.92 tff(18363,plain,
% 13.87/9.92 ((~(v130(constB119, bitIndex2) <=> b110(bitIndex2))) | v130(constB119, bitIndex2) | (~b110(bitIndex2))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18364,plain,
% 13.87/9.92 ((~(v130(constB119, bitIndex2) <=> b110(bitIndex2))) | v130(constB119, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18363, 2747])).
% 13.87/9.92 tff(18365,plain,
% 13.87/9.92 (v130(constB119, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18364, 18362])).
% 13.87/9.92 tff(18366,plain,
% 13.87/9.92 ((~(v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2))) | v127(constB119, bitIndex2) | (~v130(constB119, bitIndex2))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18367,plain,
% 13.87/9.92 (v127(constB119, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18366, 18365, 18353])).
% 13.87/9.92 tff(18368,plain,
% 13.87/9.92 ((~(v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2))) | v129(constB120, bitIndex2) | (~v127(constB119, bitIndex2))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18369,plain,
% 13.87/9.92 (v129(constB120, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18368, 18367, 18345])).
% 13.87/9.92 tff(18370,plain,
% 13.87/9.92 ((~(v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18371,plain,
% 13.87/9.92 (v90(constB120, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18370, 18369, 18337])).
% 13.87/9.92 tff(18372,plain,
% 13.87/9.92 ((~(v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2))) | v90(constB121, bitIndex2) | (~v90(constB120, bitIndex2))),
% 13.87/9.92 inference(tautology,[status(thm)],[])).
% 13.87/9.92 tff(18373,plain,
% 13.87/9.92 (v90(constB121, bitIndex2)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18372, 18371, 17994])).
% 13.87/9.92 tff(18374,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18375,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18376,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18375, 18374])).
% 13.87/9.92 tff(18377,plain,
% 13.87/9.92 (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18376, 1275, 17990])).
% 13.87/9.92 tff(18378,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18379,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18380,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 13.87/9.92 tff(18381,plain,
% 13.87/9.92 (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18380, 1275, 18333])).
% 13.87/9.92 tff(18382,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18383,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.92 tff(18384,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0))),
% 13.87/9.92 inference(modus_ponens,[status(thm)],[18383, 18382])).
% 13.87/9.92 tff(18385,plain,
% 13.87/9.92 (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)),
% 13.87/9.92 inference(unit_resolution,[status(thm)],[18384, 1275, 18341])).
% 13.87/9.92 tff(18386,plain,
% 13.87/9.92 (((~![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)))),
% 13.87/9.92 inference(rewrite,[status(thm)],[])).
% 13.87/9.92 tff(18387,plain,
% 13.87/9.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))),
% 13.87/9.92 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18388,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18387, 18386])).
% 13.87/9.93 tff(18389,plain,
% 13.87/9.93 (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18388, 1275, 18349])).
% 13.87/9.93 tff(18390,plain,
% 13.87/9.93 (((~![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)))),
% 13.87/9.93 inference(rewrite,[status(thm)],[])).
% 13.87/9.93 tff(18391,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b110(bitIndex0)))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18392,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b110(bitIndex0))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 13.87/9.93 tff(18393,plain,
% 13.87/9.93 (v130(constB119, bitIndex0) <=> b110(bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18392, 1275, 18358])).
% 13.87/9.93 tff(18394,plain,
% 13.87/9.93 ((~(v130(constB119, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB119, bitIndex0)) | b110(bitIndex0)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18395,plain,
% 13.87/9.93 ((~(v130(constB119, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB119, bitIndex0))),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18394, 2862])).
% 13.87/9.93 tff(18396,plain,
% 13.87/9.93 (~v130(constB119, bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18395, 18393])).
% 13.87/9.93 tff(18397,plain,
% 13.87/9.93 ((~(v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0))) | (~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18398,plain,
% 13.87/9.93 (~v127(constB119, bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18397, 18396, 18389])).
% 13.87/9.93 tff(18399,plain,
% 13.87/9.93 ((~(v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0))) | (~v129(constB120, bitIndex0)) | v127(constB119, bitIndex0)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18400,plain,
% 13.87/9.93 (~v129(constB120, bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18399, 18398, 18385])).
% 13.87/9.93 tff(18401,plain,
% 13.87/9.93 ((~(v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18402,plain,
% 13.87/9.93 (~v90(constB120, bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18401, 18400, 18381])).
% 13.87/9.93 tff(18403,plain,
% 13.87/9.93 ((~(v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0))) | (~v90(constB121, bitIndex0)) | v90(constB120, bitIndex0)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18404,plain,
% 13.87/9.93 (~v90(constB121, bitIndex0)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18403, 18402, 18377])).
% 13.87/9.93 tff(18405,plain,
% 13.87/9.93 (((~![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)))),
% 13.87/9.93 inference(rewrite,[status(thm)],[])).
% 13.87/9.93 tff(18406,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18407,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 13.87/9.93 tff(18408,plain,
% 13.87/9.93 (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18407, 1288, 17990])).
% 13.87/9.93 tff(18409,plain,
% 13.87/9.93 (((~![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)))),
% 13.87/9.93 inference(rewrite,[status(thm)],[])).
% 13.87/9.93 tff(18410,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18411,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18410, 18409])).
% 13.87/9.93 tff(18412,plain,
% 13.87/9.93 (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18411, 1288, 18333])).
% 13.87/9.93 tff(18413,plain,
% 13.87/9.93 (((~![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)))),
% 13.87/9.93 inference(rewrite,[status(thm)],[])).
% 13.87/9.93 tff(18414,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18415,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18414, 18413])).
% 13.87/9.93 tff(18416,plain,
% 13.87/9.93 (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18415, 1288, 18341])).
% 13.87/9.93 tff(18417,plain,
% 13.87/9.93 (((~![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)))),
% 13.87/9.93 inference(rewrite,[status(thm)],[])).
% 13.87/9.93 tff(18418,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18419,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18418, 18417])).
% 13.87/9.93 tff(18420,plain,
% 13.87/9.93 (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18419, 1288, 18349])).
% 13.87/9.93 tff(18421,plain,
% 13.87/9.93 (((~![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)))),
% 13.87/9.93 inference(rewrite,[status(thm)],[])).
% 13.87/9.93 tff(18422,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b110(bitIndex1)))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18423,plain,
% 13.87/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b110(bitIndex1))),
% 13.87/9.93 inference(modus_ponens,[status(thm)],[18422, 18421])).
% 13.87/9.93 tff(18424,plain,
% 13.87/9.93 (v130(constB119, bitIndex1) <=> b110(bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18423, 1288, 18358])).
% 13.87/9.93 tff(18425,plain,
% 13.87/9.93 ((~(v130(constB119, bitIndex1) <=> b110(bitIndex1))) | v130(constB119, bitIndex1) | (~b110(bitIndex1))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18426,plain,
% 13.87/9.93 ((~(v130(constB119, bitIndex1) <=> b110(bitIndex1))) | v130(constB119, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18425, 2902])).
% 13.87/9.93 tff(18427,plain,
% 13.87/9.93 (v130(constB119, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18426, 18424])).
% 13.87/9.93 tff(18428,plain,
% 13.87/9.93 ((~(v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1))) | v127(constB119, bitIndex1) | (~v130(constB119, bitIndex1))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18429,plain,
% 13.87/9.93 (v127(constB119, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18428, 18427, 18420])).
% 13.87/9.93 tff(18430,plain,
% 13.87/9.93 ((~(v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1))) | v129(constB120, bitIndex1) | (~v127(constB119, bitIndex1))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18431,plain,
% 13.87/9.93 (v129(constB120, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18430, 18429, 18416])).
% 13.87/9.93 tff(18432,plain,
% 13.87/9.93 ((~(v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18433,plain,
% 13.87/9.93 (v90(constB120, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18432, 18431, 18412])).
% 13.87/9.93 tff(18434,plain,
% 13.87/9.93 ((~(v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1))) | v90(constB121, bitIndex1) | (~v90(constB120, bitIndex1))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18435,plain,
% 13.87/9.93 (v90(constB121, bitIndex1)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18434, 18433, 18408])).
% 13.87/9.93 tff(18436,plain,
% 13.87/9.93 ((~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18437,plain,
% 13.87/9.93 (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18436, 18435, 18404, 18373])).
% 13.87/9.93 tff(18438,plain,
% 13.87/9.93 ((~(v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))) | v125(constB121) | ((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18439,plain,
% 13.87/9.93 (v125(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18438, 18437, 17962])).
% 13.87/9.93 tff(18440,plain,
% 13.87/9.93 ((v114(constB121) | v125(constB121)) | (~v125(constB121))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18441,plain,
% 13.87/9.93 (v114(constB121) | v125(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18440, 18439])).
% 13.87/9.93 tff(18442,plain,
% 13.87/9.93 ((~(v113(constB121) <=> (v114(constB121) | v125(constB121)))) | v113(constB121) | (~(v114(constB121) | v125(constB121)))),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18443,plain,
% 13.87/9.93 (v113(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18442, 18441, 17955])).
% 13.87/9.93 tff(18444,plain,
% 13.87/9.93 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB121)) <=> v111(constB121))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18445,plain,
% 13.87/9.93 ((~v126(constB121)) <=> v111(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18444, 1345])).
% 13.87/9.93 tff(18446,plain,
% 13.87/9.93 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB121) <=> v26(constB121))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18447,plain,
% 13.87/9.93 (v111(constB121) <=> v26(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18446, 1357])).
% 13.87/9.93 tff(18448,plain,
% 13.87/9.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 13.87/9.93 inference(quant_inst,[status(thm)],[])).
% 13.87/9.93 tff(18449,plain,
% 13.87/9.93 (~v26(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18448, 1369])).
% 13.87/9.93 tff(18450,plain,
% 13.87/9.93 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121)) | v26(constB121)),
% 13.87/9.93 inference(tautology,[status(thm)],[])).
% 13.87/9.93 tff(18451,plain,
% 13.87/9.93 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121))),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18450, 18449])).
% 13.87/9.93 tff(18452,plain,
% 13.87/9.93 (~v111(constB121)),
% 13.87/9.93 inference(unit_resolution,[status(thm)],[18451, 18447])).
% 13.87/9.93 tff(18453,plain,
% 13.87/9.94 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121) | v111(constB121)),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18454,plain,
% 13.87/9.94 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18453, 18452])).
% 13.87/9.94 tff(18455,plain,
% 13.87/9.94 (v126(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18454, 18445])).
% 13.87/9.94 tff(18456,plain,
% 13.87/9.94 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121)) | (~v126(constB121))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18457,plain,
% 13.87/9.94 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18456, 18455])).
% 13.87/9.94 tff(18458,plain,
% 13.87/9.94 (~((~v113(constB121)) | (~v126(constB121)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18457, 18443])).
% 13.87/9.94 tff(18459,plain,
% 13.87/9.94 ((~(v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))) | v112(constB121) | ((~v113(constB121)) | (~v126(constB121)))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18460,plain,
% 13.87/9.94 (v112(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18459, 18458, 17953])).
% 13.87/9.94 tff(18461,plain,
% 13.87/9.94 ((v111(constB121) | v112(constB121)) | (~v112(constB121))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18462,plain,
% 13.87/9.94 (v111(constB121) | v112(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18461, 18460])).
% 13.87/9.94 tff(18463,plain,
% 13.87/9.94 ((~(v108(constB121) <=> (v111(constB121) | v112(constB121)))) | v108(constB121) | (~(v111(constB121) | v112(constB121)))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18464,plain,
% 13.87/9.94 (v108(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18463, 18462, 17951])).
% 13.87/9.94 tff(18465,plain,
% 13.87/9.94 ((~(v110(constB122) <=> v108(constB121))) | v110(constB122) | (~v108(constB121))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18466,plain,
% 13.87/9.94 (v110(constB122)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18465, 18464, 17949])).
% 13.87/9.94 tff(18467,plain,
% 13.87/9.94 ((~((~v101(constB122)) | (~v110(constB122)))) | (~v101(constB122)) | (~v110(constB122))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18468,plain,
% 13.87/9.94 (~((~v101(constB122)) | (~v110(constB122)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18467, 18466, 17945])).
% 13.87/9.94 tff(18469,plain,
% 13.87/9.94 ((~(v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))) | v100(constB122) | ((~v101(constB122)) | (~v110(constB122)))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18470,plain,
% 13.87/9.94 (v100(constB122)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18469, 18468, 17914])).
% 13.87/9.94 tff(18471,plain,
% 13.87/9.94 (((~![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))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18472,plain,
% 13.87/9.94 ((~![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))))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18473,plain,
% 13.87/9.94 ((~![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)))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 13.87/9.94 tff(18474,plain,
% 13.87/9.94 ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18473, 1405])).
% 13.87/9.94 tff(18475,plain,
% 13.87/9.94 (![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18474, 18470])).
% 13.87/9.94 tff(18476,plain,
% 13.87/9.94 (((~![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)))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18477,plain,
% 13.87/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18478,plain,
% 13.87/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18477, 18476])).
% 13.87/9.94 tff(18479,plain,
% 13.87/9.94 (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18478, 579, 18475])).
% 13.87/9.94 tff(18480,plain,
% 13.87/9.94 (((~![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))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18481,plain,
% 13.87/9.94 ((~![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))))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18482,plain,
% 13.87/9.94 ((~![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)))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 13.87/9.94 tff(18483,plain,
% 13.87/9.94 (![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18482, 17910, 1427])).
% 13.87/9.94 tff(18484,plain,
% 13.87/9.94 (((~![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)))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18485,plain,
% 13.87/9.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18486,plain,
% 13.87/9.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18485, 18484])).
% 13.87/9.94 tff(18487,plain,
% 13.87/9.94 (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18486, 579, 18483])).
% 13.87/9.94 tff(18488,plain,
% 13.87/9.94 (((~![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))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18489,plain,
% 13.87/9.94 ((~![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))))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18490,plain,
% 13.87/9.94 ((~![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)))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18489, 18488])).
% 13.87/9.94 tff(18491,plain,
% 13.87/9.94 (![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18490, 1448, 18452])).
% 13.87/9.94 tff(18492,plain,
% 13.87/9.94 (((~![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)))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18493,plain,
% 13.87/9.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18494,plain,
% 13.87/9.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18493, 18492])).
% 13.87/9.94 tff(18495,plain,
% 13.87/9.94 (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18494, 579, 18491])).
% 13.87/9.94 tff(18496,plain,
% 13.87/9.94 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18497,plain,
% 13.87/9.94 (v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18496, 1242])).
% 13.87/9.94 tff(18498,plain,
% 13.87/9.94 ((v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex2))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18499,plain,
% 13.87/9.94 (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18498, 18373])).
% 13.87/9.94 tff(18500,plain,
% 13.87/9.94 ((~(v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))))) | (~v119(constB121)) | (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18501,plain,
% 13.87/9.94 (~v119(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18500, 18499, 18497])).
% 13.87/9.94 tff(18502,plain,
% 13.87/9.94 (((~![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))))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18503,plain,
% 13.87/9.94 ((v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2))))) <=> (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18504,plain,
% 13.87/9.94 (((~![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))))))),
% 13.87/9.94 inference(monotonicity,[status(thm)],[18503])).
% 13.87/9.94 tff(18505,plain,
% 13.87/9.94 (((~![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))))))),
% 13.87/9.94 inference(transitivity,[status(thm)],[18504, 18502])).
% 13.87/9.94 tff(18506,plain,
% 13.87/9.94 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))),
% 13.87/9.94 inference(quant_inst,[status(thm)],[])).
% 13.87/9.94 tff(18507,plain,
% 13.87/9.94 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.94 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 13.87/9.94 tff(18508,plain,
% 13.87/9.94 (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18507, 2651])).
% 13.87/9.94 tff(18509,plain,
% 13.87/9.94 (((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex1))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18510,plain,
% 13.87/9.94 ((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18509, 18435])).
% 13.87/9.94 tff(18511,plain,
% 13.87/9.94 ((~(v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))) | (~v124(constB121)) | (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 13.87/9.94 inference(tautology,[status(thm)],[])).
% 13.87/9.94 tff(18512,plain,
% 13.87/9.94 (~v124(constB121)),
% 13.87/9.94 inference(unit_resolution,[status(thm)],[18511, 18510, 18508])).
% 13.87/9.94 tff(18513,plain,
% 13.87/9.94 (((~![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)))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18514,plain,
% 13.87/9.94 ((v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2))))) <=> (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))),
% 13.87/9.94 inference(rewrite,[status(thm)],[])).
% 13.87/9.94 tff(18515,plain,
% 13.87/9.94 (((~![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)))))),
% 13.87/9.95 inference(monotonicity,[status(thm)],[18514])).
% 13.87/9.95 tff(18516,plain,
% 13.87/9.95 (((~![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)))))),
% 13.87/9.95 inference(transitivity,[status(thm)],[18515, 18513])).
% 13.87/9.95 tff(18517,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))),
% 13.87/9.95 inference(quant_inst,[status(thm)],[])).
% 13.87/9.95 tff(18518,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 13.87/9.95 tff(18519,plain,
% 13.87/9.95 (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18518, 787])).
% 13.87/9.95 tff(18520,plain,
% 13.87/9.95 (((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18521,plain,
% 13.87/9.95 ((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18520, 18435])).
% 13.87/9.95 tff(18522,plain,
% 13.87/9.95 ((~(v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))) | (~v123(constB121)) | (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18523,plain,
% 13.87/9.95 (~v123(constB121)),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18522, 18521, 18519])).
% 13.87/9.95 tff(18524,plain,
% 13.87/9.95 (((~![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))))))),
% 13.87/9.95 inference(rewrite,[status(thm)],[])).
% 13.87/9.95 tff(18525,plain,
% 13.87/9.95 ((v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))))) <=> (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.95 inference(rewrite,[status(thm)],[])).
% 13.87/9.95 tff(18526,plain,
% 13.87/9.95 (((~![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))))))),
% 13.87/9.95 inference(monotonicity,[status(thm)],[18525])).
% 13.87/9.95 tff(18527,plain,
% 13.87/9.95 (((~![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))))))),
% 13.87/9.95 inference(transitivity,[status(thm)],[18526, 18524])).
% 13.87/9.95 tff(18528,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))),
% 13.87/9.95 inference(quant_inst,[status(thm)],[])).
% 13.87/9.95 tff(18529,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.95 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 13.87/9.95 tff(18530,plain,
% 13.87/9.95 (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18529, 900])).
% 13.87/9.95 tff(18531,plain,
% 13.87/9.95 ((v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18532,plain,
% 13.87/9.95 (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18531, 18373])).
% 13.87/9.95 tff(18533,plain,
% 13.87/9.95 ((~(v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) | (~v122(constB121)) | (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18534,plain,
% 13.87/9.95 (~v122(constB121)),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18533, 18532, 18530])).
% 13.87/9.95 tff(18535,plain,
% 13.87/9.95 (((~![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)))))),
% 13.87/9.95 inference(rewrite,[status(thm)],[])).
% 13.87/9.95 tff(18536,plain,
% 13.87/9.95 ((v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1))))) <=> (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(rewrite,[status(thm)],[])).
% 13.87/9.95 tff(18537,plain,
% 13.87/9.95 (((~![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)))))),
% 13.87/9.95 inference(monotonicity,[status(thm)],[18536])).
% 13.87/9.95 tff(18538,plain,
% 13.87/9.95 (((~![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)))))),
% 13.87/9.95 inference(transitivity,[status(thm)],[18537, 18535])).
% 13.87/9.95 tff(18539,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))),
% 13.87/9.95 inference(quant_inst,[status(thm)],[])).
% 13.87/9.95 tff(18540,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 13.87/9.95 tff(18541,plain,
% 13.87/9.95 (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18540, 1015])).
% 13.87/9.95 tff(18542,plain,
% 13.87/9.95 ((v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18543,plain,
% 13.87/9.95 (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18542, 18373])).
% 13.87/9.95 tff(18544,plain,
% 13.87/9.95 ((~(v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))) | (~v121(constB121)) | (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18545,plain,
% 13.87/9.95 (~v121(constB121)),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18544, 18543, 18541])).
% 13.87/9.95 tff(18546,plain,
% 13.87/9.95 (((~![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))))))),
% 13.87/9.95 inference(rewrite,[status(thm)],[])).
% 13.87/9.95 tff(18547,plain,
% 13.87/9.95 ((v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0))))) <=> (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.95 inference(rewrite,[status(thm)],[])).
% 13.87/9.95 tff(18548,plain,
% 13.87/9.95 (((~![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))))))),
% 13.87/9.95 inference(monotonicity,[status(thm)],[18547])).
% 13.87/9.95 tff(18549,plain,
% 13.87/9.95 (((~![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))))))),
% 13.87/9.95 inference(transitivity,[status(thm)],[18548, 18546])).
% 13.87/9.95 tff(18550,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.95 inference(quant_inst,[status(thm)],[])).
% 13.87/9.95 tff(18551,plain,
% 13.87/9.95 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 13.87/9.95 inference(modus_ponens,[status(thm)],[18550, 18549])).
% 13.87/9.95 tff(18552,plain,
% 13.87/9.95 (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18551, 1132])).
% 13.87/9.95 tff(18553,plain,
% 13.87/9.95 ((v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18554,plain,
% 13.87/9.95 (v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18553, 18373])).
% 13.87/9.95 tff(18555,plain,
% 13.87/9.95 ((~(v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))) | (~v120(constB121)) | (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 13.87/9.95 inference(tautology,[status(thm)],[])).
% 13.87/9.95 tff(18556,plain,
% 13.87/9.95 (~v120(constB121)),
% 13.87/9.95 inference(unit_resolution,[status(thm)],[18555, 18554, 18552])).
% 13.87/9.96 tff(18557,plain,
% 13.87/9.96 (((~![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))))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18558,plain,
% 13.87/9.96 ((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))))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18559,plain,
% 13.87/9.96 (((~![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)))))),
% 13.87/9.96 inference(monotonicity,[status(thm)],[18558])).
% 13.87/9.96 tff(18560,plain,
% 13.87/9.96 (((~![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))))),
% 13.87/9.96 inference(transitivity,[status(thm)],[18559, 18557])).
% 13.87/9.96 tff(18561,plain,
% 13.87/9.96 ((~![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))))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18562,plain,
% 13.87/9.96 ((~![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)))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18561, 18560])).
% 13.87/9.96 tff(18563,plain,
% 13.87/9.96 (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18562, 8006])).
% 13.87/9.96 tff(18564,plain,
% 13.87/9.96 (![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18563, 18556, 18545, 18534, 18523, 18512, 18501])).
% 13.87/9.96 tff(18565,plain,
% 13.87/9.96 (((~![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)))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18566,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b001(bitIndex2)))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18567,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b001(bitIndex2))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18566, 18565])).
% 13.87/9.96 tff(18568,plain,
% 13.87/9.96 (v130(constB121, bitIndex2) <=> b001(bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18567, 579, 18564])).
% 13.87/9.96 tff(18569,plain,
% 13.87/9.96 ((~(v130(constB121, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB121, bitIndex2)) | b001(bitIndex2)),
% 13.87/9.96 inference(tautology,[status(thm)],[])).
% 13.87/9.96 tff(18570,plain,
% 13.87/9.96 ((~(v130(constB121, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB121, bitIndex2))),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18569, 1480])).
% 13.87/9.96 tff(18571,plain,
% 13.87/9.96 (~v130(constB121, bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18570, 18568])).
% 13.87/9.96 tff(18572,plain,
% 13.87/9.96 ((~(v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2))) | (~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)),
% 13.87/9.96 inference(tautology,[status(thm)],[])).
% 13.87/9.96 tff(18573,plain,
% 13.87/9.96 (~v127(constB121, bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18572, 18571, 18495])).
% 13.87/9.96 tff(18574,plain,
% 13.87/9.96 ((~(v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2))) | (~v129(constB122, bitIndex2)) | v127(constB121, bitIndex2)),
% 13.87/9.96 inference(tautology,[status(thm)],[])).
% 13.87/9.96 tff(18575,plain,
% 13.87/9.96 (~v129(constB122, bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18574, 18573, 18487])).
% 13.87/9.96 tff(18576,plain,
% 13.87/9.96 ((~(v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2)),
% 13.87/9.96 inference(tautology,[status(thm)],[])).
% 13.87/9.96 tff(18577,plain,
% 13.87/9.96 (~v90(constB122, bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18576, 18575, 18479])).
% 13.87/9.96 tff(18578,plain,
% 13.87/9.96 ((~(v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2))) | (~v90(constB123, bitIndex2)) | v90(constB122, bitIndex2)),
% 13.87/9.96 inference(tautology,[status(thm)],[])).
% 13.87/9.96 tff(18579,plain,
% 13.87/9.96 (~v90(constB123, bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18578, 18577, 17907])).
% 13.87/9.96 tff(18580,plain,
% 13.87/9.96 ((~(v88(constB123, bitIndex2) <=> v90(constB123, bitIndex2))) | (~v88(constB123, bitIndex2)) | v90(constB123, bitIndex2)),
% 13.87/9.96 inference(tautology,[status(thm)],[])).
% 13.87/9.96 tff(18581,plain,
% 13.87/9.96 (~v88(constB123, bitIndex2)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18580, 18579, 17875])).
% 13.87/9.96 tff(18582,plain,
% 13.87/9.96 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB123, bitIndex0) <=> v90(constB123, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB123, bitIndex0) <=> v90(constB123, bitIndex0)))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18583,plain,
% 13.87/9.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB123, bitIndex0) <=> v90(constB123, bitIndex0)))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18584,plain,
% 13.87/9.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB123, bitIndex0) <=> v90(constB123, bitIndex0))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18583, 18582])).
% 13.87/9.96 tff(18585,plain,
% 13.87/9.96 (v88(constB123, bitIndex0) <=> v90(constB123, bitIndex0)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18584, 1275, 576])).
% 13.87/9.96 tff(18586,plain,
% 13.87/9.96 (((~![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)))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18587,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18588,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 13.87/9.96 tff(18589,plain,
% 13.87/9.96 (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18588, 1275, 17903])).
% 13.87/9.96 tff(18590,plain,
% 13.87/9.96 (((~![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)))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18591,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18592,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18591, 18590])).
% 13.87/9.96 tff(18593,plain,
% 13.87/9.96 (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18592, 1275, 18475])).
% 13.87/9.96 tff(18594,plain,
% 13.87/9.96 (((~![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)))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18595,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18596,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18595, 18594])).
% 13.87/9.96 tff(18597,plain,
% 13.87/9.96 (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18596, 1275, 18483])).
% 13.87/9.96 tff(18598,plain,
% 13.87/9.96 (((~![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)))),
% 13.87/9.96 inference(rewrite,[status(thm)],[])).
% 13.87/9.96 tff(18599,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))),
% 13.87/9.96 inference(quant_inst,[status(thm)],[])).
% 13.87/9.96 tff(18600,plain,
% 13.87/9.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0))),
% 13.87/9.96 inference(modus_ponens,[status(thm)],[18599, 18598])).
% 13.87/9.96 tff(18601,plain,
% 13.87/9.96 (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)),
% 13.87/9.96 inference(unit_resolution,[status(thm)],[18600, 1275, 18491])).
% 13.87/9.96 tff(18602,plain,
% 13.87/9.96 (((~![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)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18603,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b001(bitIndex0)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18604,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b001(bitIndex0))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18603, 18602])).
% 13.87/9.97 tff(18605,plain,
% 13.87/9.97 (v130(constB121, bitIndex0) <=> b001(bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18604, 1275, 18564])).
% 13.87/9.97 tff(18606,plain,
% 13.87/9.97 ((~(v130(constB121, bitIndex0) <=> b001(bitIndex0))) | v130(constB121, bitIndex0) | (~b001(bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18607,plain,
% 13.87/9.97 ((~(v130(constB121, bitIndex0) <=> b001(bitIndex0))) | v130(constB121, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18606, 1514])).
% 13.87/9.97 tff(18608,plain,
% 13.87/9.97 (v130(constB121, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18607, 18605])).
% 13.87/9.97 tff(18609,plain,
% 13.87/9.97 ((~(v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0))) | v127(constB121, bitIndex0) | (~v130(constB121, bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18610,plain,
% 13.87/9.97 (v127(constB121, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18609, 18608, 18601])).
% 13.87/9.97 tff(18611,plain,
% 13.87/9.97 ((~(v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0))) | v129(constB122, bitIndex0) | (~v127(constB121, bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18612,plain,
% 13.87/9.97 (v129(constB122, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18611, 18610, 18597])).
% 13.87/9.97 tff(18613,plain,
% 13.87/9.97 ((~(v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18614,plain,
% 13.87/9.97 (v90(constB122, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18613, 18612, 18593])).
% 13.87/9.97 tff(18615,plain,
% 13.87/9.97 ((~(v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0))) | v90(constB123, bitIndex0) | (~v90(constB122, bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18616,plain,
% 13.87/9.97 (v90(constB123, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18615, 18614, 18589])).
% 13.87/9.97 tff(18617,plain,
% 13.87/9.97 ((~(v88(constB123, bitIndex0) <=> v90(constB123, bitIndex0))) | v88(constB123, bitIndex0) | (~v90(constB123, bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18618,plain,
% 13.87/9.97 (v88(constB123, bitIndex0)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18617, 18616, 18585])).
% 13.87/9.97 tff(18619,plain,
% 13.87/9.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB123, bitIndex1) <=> v90(constB123, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB123, bitIndex1) <=> v90(constB123, bitIndex1)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18620,plain,
% 13.87/9.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB123, bitIndex1) <=> v90(constB123, bitIndex1)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18621,plain,
% 13.87/9.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB123, bitIndex1) <=> v90(constB123, bitIndex1))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18620, 18619])).
% 13.87/9.97 tff(18622,plain,
% 13.87/9.97 (v88(constB123, bitIndex1) <=> v90(constB123, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18621, 1288, 576])).
% 13.87/9.97 tff(18623,plain,
% 13.87/9.97 (((~![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)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18624,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18625,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 13.87/9.97 tff(18626,plain,
% 13.87/9.97 (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18625, 1288, 17903])).
% 13.87/9.97 tff(18627,plain,
% 13.87/9.97 (((~![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)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18628,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18629,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 13.87/9.97 tff(18630,plain,
% 13.87/9.97 (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18629, 1288, 18475])).
% 13.87/9.97 tff(18631,plain,
% 13.87/9.97 (((~![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)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18632,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18633,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18632, 18631])).
% 13.87/9.97 tff(18634,plain,
% 13.87/9.97 (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18633, 1288, 18483])).
% 13.87/9.97 tff(18635,plain,
% 13.87/9.97 (((~![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)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18636,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18637,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 13.87/9.97 tff(18638,plain,
% 13.87/9.97 (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18637, 1288, 18491])).
% 13.87/9.97 tff(18639,plain,
% 13.87/9.97 (((~![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)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18640,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b001(bitIndex1)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18641,plain,
% 13.87/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b001(bitIndex1))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18640, 18639])).
% 13.87/9.97 tff(18642,plain,
% 13.87/9.97 (v130(constB121, bitIndex1) <=> b001(bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18641, 1288, 18564])).
% 13.87/9.97 tff(18643,plain,
% 13.87/9.97 ((~(v130(constB121, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB121, bitIndex1)) | b001(bitIndex1)),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18644,plain,
% 13.87/9.97 ((~(v130(constB121, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB121, bitIndex1))),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18643, 1548])).
% 13.87/9.97 tff(18645,plain,
% 13.87/9.97 (~v130(constB121, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18644, 18642])).
% 13.87/9.97 tff(18646,plain,
% 13.87/9.97 ((~(v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1))) | (~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18647,plain,
% 13.87/9.97 (~v127(constB121, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18646, 18645, 18638])).
% 13.87/9.97 tff(18648,plain,
% 13.87/9.97 ((~(v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1))) | (~v129(constB122, bitIndex1)) | v127(constB121, bitIndex1)),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18649,plain,
% 13.87/9.97 (~v129(constB122, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18648, 18647, 18634])).
% 13.87/9.97 tff(18650,plain,
% 13.87/9.97 ((~(v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1)),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18651,plain,
% 13.87/9.97 (~v90(constB122, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18650, 18649, 18630])).
% 13.87/9.97 tff(18652,plain,
% 13.87/9.97 ((~(v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1))) | (~v90(constB123, bitIndex1)) | v90(constB122, bitIndex1)),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18653,plain,
% 13.87/9.97 (~v90(constB123, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18652, 18651, 18626])).
% 13.87/9.97 tff(18654,plain,
% 13.87/9.97 ((~(v88(constB123, bitIndex1) <=> v90(constB123, bitIndex1))) | (~v88(constB123, bitIndex1)) | v90(constB123, bitIndex1)),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18655,plain,
% 13.87/9.97 (~v88(constB123, bitIndex1)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18654, 18653, 18622])).
% 13.87/9.97 tff(18656,plain,
% 13.87/9.97 ((~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))) | v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18657,plain,
% 13.87/9.97 (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18656, 18655, 18618, 18581])).
% 13.87/9.97 tff(18658,plain,
% 13.87/9.97 ((~(v140(constB123) <=> (~(v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))))) | v140(constB123) | (v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18659,plain,
% 13.87/9.97 (v140(constB123)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18658, 18657, 17871])).
% 13.87/9.97 tff(18660,plain,
% 13.87/9.97 ((v139(constB123) | v140(constB123)) | (~v140(constB123))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18661,plain,
% 13.87/9.97 (v139(constB123) | v140(constB123)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18660, 18659])).
% 13.87/9.97 tff(18662,plain,
% 13.87/9.97 ((~(v170(constB123) <=> (v139(constB123) | v140(constB123)))) | v170(constB123) | (~(v139(constB123) | v140(constB123)))),
% 13.87/9.97 inference(tautology,[status(thm)],[])).
% 13.87/9.97 tff(18663,plain,
% 13.87/9.97 (v170(constB123)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18662, 18661, 17864])).
% 13.87/9.97 tff(18664,plain,
% 13.87/9.97 (^[VarCurr: $i] : refl(((~v170(VarCurr)) | (~v169(VarCurr))) <=> ((~v170(VarCurr)) | (~v169(VarCurr))))),
% 13.87/9.97 inference(bind,[status(th)],[])).
% 13.87/9.97 tff(18665,plain,
% 13.87/9.97 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(quant_intro,[status(thm)],[18664])).
% 13.87/9.97 tff(18666,plain,
% 13.87/9.97 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18667,plain,
% 13.87/9.97 (^[VarCurr: $i] : trans(monotonicity(rewrite((v169(VarCurr) <=> $false) <=> (~v169(VarCurr))), ((v170(VarCurr) => (v169(VarCurr) <=> $false)) <=> (v170(VarCurr) => (~v169(VarCurr))))), rewrite((v170(VarCurr) => (~v169(VarCurr))) <=> ((~v170(VarCurr)) | (~v169(VarCurr)))), ((v170(VarCurr) => (v169(VarCurr) <=> $false)) <=> ((~v170(VarCurr)) | (~v169(VarCurr)))))),
% 13.87/9.97 inference(bind,[status(th)],[])).
% 13.87/9.97 tff(18668,plain,
% 13.87/9.97 (![VarCurr: $i] : (v170(VarCurr) => (v169(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(quant_intro,[status(thm)],[18667])).
% 13.87/9.97 tff(18669,axiom,(![VarCurr: $i] : (v170(VarCurr) => (v169(VarCurr) <=> $false))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3')).
% 13.87/9.97 tff(18670,plain,
% 13.87/9.97 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18669, 18668])).
% 13.87/9.97 tff(18671,plain,
% 13.87/9.97 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18670, 18666])).
% 13.87/9.97 tff(18672,plain,(
% 13.87/9.97 ![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(skolemize,[status(sab)],[18671])).
% 13.87/9.97 tff(18673,plain,
% 13.87/9.97 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18672, 18665])).
% 13.87/9.97 tff(18674,plain,
% 13.87/9.97 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB123)) | (~v169(constB123)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB123)) | (~v169(constB123)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18675,plain,
% 13.87/9.97 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB123)) | (~v169(constB123)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18676,plain,
% 13.87/9.97 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB123)) | (~v169(constB123))),
% 13.87/9.97 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 13.87/9.97 tff(18677,plain,
% 13.87/9.97 ((~v170(constB123)) | (~v169(constB123))),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18676, 18673])).
% 13.87/9.97 tff(18678,plain,
% 13.87/9.97 (~v169(constB123)),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18677, 18663])).
% 13.87/9.97 tff(18679,plain,
% 13.87/9.97 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB123) <=> (v145(constB123) | v166(constB123)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18680,plain,
% 13.87/9.97 (v165(constB123) <=> (v145(constB123) | v166(constB123))),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18679, 2293])).
% 13.87/9.97 tff(18681,plain,
% 13.87/9.97 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB123) <=> (v142(constB123) | v167(constB123)))),
% 13.87/9.97 inference(quant_inst,[status(thm)],[])).
% 13.87/9.97 tff(18682,plain,
% 13.87/9.97 (v166(constB123) <=> (v142(constB123) | v167(constB123))),
% 13.87/9.97 inference(unit_resolution,[status(thm)],[18681, 2804])).
% 13.87/9.97 tff(18683,plain,
% 13.87/9.97 (^[VarCurr: $i] : refl((v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr))) <=> (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr))))),
% 13.87/9.97 inference(bind,[status(th)],[])).
% 13.87/9.97 tff(18684,plain,
% 13.87/9.97 (![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.97 inference(quant_intro,[status(thm)],[18683])).
% 13.87/9.97 tff(18685,plain,
% 13.87/9.97 (![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.97 inference(rewrite,[status(thm)],[])).
% 13.87/9.97 tff(18686,plain,
% 13.87/9.97 (^[VarCurr: $i] : rewrite((v167(VarCurr) <=> (v168(VarCurr) | v141(VarCurr))) <=> (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr))))),
% 13.87/9.97 inference(bind,[status(th)],[])).
% 13.87/9.97 tff(18687,plain,
% 13.87/9.97 (![VarCurr: $i] : (v167(VarCurr) <=> (v168(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.98 inference(quant_intro,[status(thm)],[18686])).
% 13.87/9.98 tff(18688,axiom,(![VarCurr: $i] : (v167(VarCurr) <=> (v168(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_38')).
% 13.87/9.98 tff(18689,plain,
% 13.87/9.98 (![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 13.87/9.98 tff(18690,plain,
% 13.87/9.98 (![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18689, 18685])).
% 13.87/9.98 tff(18691,plain,(
% 13.87/9.98 ![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.98 inference(skolemize,[status(sab)],[18690])).
% 13.87/9.98 tff(18692,plain,
% 13.87/9.98 (![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18691, 18684])).
% 13.87/9.98 tff(18693,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB123) <=> (v141(constB123) | v168(constB123)))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18694,plain,
% 13.87/9.98 (v167(constB123) <=> (v141(constB123) | v168(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18693, 18692])).
% 13.87/9.98 tff(18695,plain,
% 13.87/9.98 (^[VarCurr: $i] : refl((v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 13.87/9.98 inference(bind,[status(th)],[])).
% 13.87/9.98 tff(18696,plain,
% 13.87/9.98 (![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.87/9.98 inference(quant_intro,[status(thm)],[18695])).
% 13.87/9.98 tff(18697,plain,
% 13.87/9.98 (![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.87/9.98 inference(rewrite,[status(thm)],[])).
% 13.87/9.98 tff(18698,axiom,(![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_37')).
% 13.87/9.98 tff(18699,plain,
% 13.87/9.98 (![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 13.87/9.98 tff(18700,plain,(
% 13.87/9.98 ![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.87/9.98 inference(skolemize,[status(sab)],[18699])).
% 13.87/9.98 tff(18701,plain,
% 13.87/9.98 (![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18700, 18696])).
% 13.87/9.98 tff(18702,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB123) <=> (v139(constB123) | v140(constB123)))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18703,plain,
% 13.87/9.98 (v168(constB123) <=> (v139(constB123) | v140(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18702, 18701])).
% 13.87/9.98 tff(18704,plain,
% 13.87/9.98 ((~(v168(constB123) <=> (v139(constB123) | v140(constB123)))) | v168(constB123) | (~(v139(constB123) | v140(constB123)))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18705,plain,
% 13.87/9.98 (v168(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18704, 18661, 18703])).
% 13.87/9.98 tff(18706,plain,
% 13.87/9.98 ((v141(constB123) | v168(constB123)) | (~v168(constB123))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18707,plain,
% 13.87/9.98 (v141(constB123) | v168(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18706, 18705])).
% 13.87/9.98 tff(18708,plain,
% 13.87/9.98 ((~(v167(constB123) <=> (v141(constB123) | v168(constB123)))) | v167(constB123) | (~(v141(constB123) | v168(constB123)))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18709,plain,
% 13.87/9.98 (v167(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18708, 18707, 18694])).
% 13.87/9.98 tff(18710,plain,
% 13.87/9.98 ((v142(constB123) | v167(constB123)) | (~v167(constB123))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18711,plain,
% 13.87/9.98 (v142(constB123) | v167(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18710, 18709])).
% 13.87/9.98 tff(18712,plain,
% 13.87/9.98 ((~(v166(constB123) <=> (v142(constB123) | v167(constB123)))) | v166(constB123) | (~(v142(constB123) | v167(constB123)))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18713,plain,
% 13.87/9.98 (v166(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18712, 18711, 18682])).
% 13.87/9.98 tff(18714,plain,
% 13.87/9.98 ((v145(constB123) | v166(constB123)) | (~v166(constB123))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18715,plain,
% 13.87/9.98 (v145(constB123) | v166(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18714, 18713])).
% 13.87/9.98 tff(18716,plain,
% 13.87/9.98 ((~(v165(constB123) <=> (v145(constB123) | v166(constB123)))) | v165(constB123) | (~(v145(constB123) | v166(constB123)))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18717,plain,
% 13.87/9.98 (v165(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18716, 18715, 18680])).
% 13.87/9.98 tff(18718,plain,
% 13.87/9.98 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB123)) | (v162(constB123) <=> v169(constB123)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB123)) | (v162(constB123) <=> v169(constB123)))),
% 13.87/9.98 inference(rewrite,[status(thm)],[])).
% 13.87/9.98 tff(18719,plain,
% 13.87/9.98 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB123)) | (v162(constB123) <=> v169(constB123)))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18720,plain,
% 13.87/9.98 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB123)) | (v162(constB123) <=> v169(constB123))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 13.87/9.98 tff(18721,plain,
% 13.87/9.98 ((~v165(constB123)) | (v162(constB123) <=> v169(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18720, 2426])).
% 13.87/9.98 tff(18722,plain,
% 13.87/9.98 (v162(constB123) <=> v169(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18721, 18717])).
% 13.87/9.98 tff(18723,plain,
% 13.87/9.98 ((~(v162(constB123) <=> v169(constB123))) | (~v162(constB123)) | v169(constB123)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18724,plain,
% 13.87/9.98 (~v162(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18723, 18722, 18678])).
% 13.87/9.98 tff(18725,plain,
% 13.87/9.98 ((~(v160(constB123) <=> v162(constB123))) | (~v160(constB123)) | v162(constB123)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18726,plain,
% 13.87/9.98 ((~(v160(constB123) <=> v162(constB123))) | (~v160(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18725, 18724])).
% 13.87/9.98 tff(18727,plain,
% 13.87/9.98 (~v160(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18726, 17862])).
% 13.87/9.98 tff(18728,plain,
% 13.87/9.98 (((~v184(constB123)) | (~v160(constB123))) | v160(constB123)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18729,plain,
% 13.87/9.98 ((~v184(constB123)) | (~v160(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18728, 18727])).
% 13.87/9.98 tff(18730,plain,
% 13.87/9.98 ((~(v187(constB123) <=> (~((~v184(constB123)) | (~v160(constB123)))))) | (~v187(constB123)) | (~((~v184(constB123)) | (~v160(constB123))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18731,plain,
% 13.87/9.98 (~v187(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18730, 18729, 17860])).
% 13.87/9.98 tff(18732,plain,
% 13.87/9.98 (((~v186(constB123)) | (~v187(constB123))) | v187(constB123)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18733,plain,
% 13.87/9.98 ((~v186(constB123)) | (~v187(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18732, 18731])).
% 13.87/9.98 tff(18734,plain,
% 13.87/9.98 ((~(v185(constB123) <=> (~((~v186(constB123)) | (~v187(constB123)))))) | (~v185(constB123)) | (~((~v186(constB123)) | (~v187(constB123))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18735,plain,
% 13.87/9.98 (~v185(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18734, 18733, 17858])).
% 13.87/9.98 tff(18736,plain,
% 13.87/9.98 ((~(v181(constB123) | v185(constB123))) | v181(constB123) | v185(constB123)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18737,plain,
% 13.87/9.98 (~(v181(constB123) | v185(constB123))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18736, 18735, 17856])).
% 13.87/9.98 tff(18738,plain,
% 13.87/9.98 ((~(v178(constB123) <=> (v181(constB123) | v185(constB123)))) | (~v178(constB123)) | (v181(constB123) | v185(constB123))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18739,plain,
% 13.87/9.98 (~v178(constB123)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18738, 18737, 17780])).
% 13.87/9.98 tff(18740,plain,
% 13.87/9.98 ((~(v180(constB124) <=> v178(constB123))) | (~v180(constB124)) | v178(constB123)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18741,plain,
% 13.87/9.98 (~v180(constB124)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18740, 18739, 17778])).
% 13.87/9.98 tff(18742,plain,
% 13.87/9.98 ((~(v158(constB124) <=> v180(constB124))) | (~v158(constB124)) | v180(constB124)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18743,plain,
% 13.87/9.98 (~v158(constB124)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18742, 18741, 17771])).
% 13.87/9.98 tff(18744,plain,
% 13.87/9.98 (((~v158(constB124)) | (~v182(constB124))) | v158(constB124)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18745,plain,
% 13.87/9.98 ((~v158(constB124)) | (~v182(constB124))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18744, 18743])).
% 13.87/9.98 tff(18746,plain,
% 13.87/9.98 ((~(v181(constB124) <=> (~((~v158(constB124)) | (~v182(constB124)))))) | (~v181(constB124)) | (~((~v158(constB124)) | (~v182(constB124))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18747,plain,
% 13.87/9.98 (~v181(constB124)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18746, 18745, 17769])).
% 13.87/9.98 tff(18748,plain,
% 13.87/9.98 ((~(v181(constB124) | v185(constB124))) | v181(constB124) | v185(constB124)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18749,plain,
% 13.87/9.98 (~(v181(constB124) | v185(constB124))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18748, 18747, 17762])).
% 13.87/9.98 tff(18750,plain,
% 13.87/9.98 ((~(v178(constB124) <=> (v181(constB124) | v185(constB124)))) | (~v178(constB124)) | (v181(constB124) | v185(constB124))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18751,plain,
% 13.87/9.98 (~v178(constB124)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18750, 18749, 17734])).
% 13.87/9.98 tff(18752,plain,
% 13.87/9.98 ((~(v180(constB125) <=> v178(constB124))) | (~v180(constB125)) | v178(constB124)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18753,plain,
% 13.87/9.98 (~v180(constB125)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18752, 18751, 17732])).
% 13.87/9.98 tff(18754,plain,
% 13.87/9.98 ((~(v158(constB125) <=> v180(constB125))) | (~v158(constB125)) | v180(constB125)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18755,plain,
% 13.87/9.98 (~v158(constB125)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18754, 18753, 17725])).
% 13.87/9.98 tff(18756,plain,
% 13.87/9.98 (((~v158(constB125)) | (~v199(constB125))) | v158(constB125)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18757,plain,
% 13.87/9.98 ((~v158(constB125)) | (~v199(constB125))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18756, 18755])).
% 13.87/9.98 tff(18758,plain,
% 13.87/9.98 ((~(v198(constB125) <=> (~((~v158(constB125)) | (~v199(constB125)))))) | (~v198(constB125)) | (~((~v158(constB125)) | (~v199(constB125))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18759,plain,
% 13.87/9.98 (~v198(constB125)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18758, 18757, 17723])).
% 13.87/9.98 tff(18760,plain,
% 13.87/9.98 ((~(v197(constB125) | v198(constB125))) | v197(constB125) | v198(constB125)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18761,plain,
% 13.87/9.98 (~(v197(constB125) | v198(constB125))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18760, 18759, 17721])).
% 13.87/9.98 tff(18762,plain,
% 13.87/9.98 ((~(v194(constB125) <=> (v197(constB125) | v198(constB125)))) | (~v194(constB125)) | (v197(constB125) | v198(constB125))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18763,plain,
% 13.87/9.98 (~v194(constB125)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18762, 18761, 17650])).
% 13.87/9.98 tff(18764,plain,
% 13.87/9.98 ((~(v196(constB126) <=> v194(constB125))) | (~v196(constB126)) | v194(constB125)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18765,plain,
% 13.87/9.98 (~v196(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18764, 18763, 17648])).
% 13.87/9.98 tff(18766,plain,
% 13.87/9.98 ((~(v191(constB126) <=> v196(constB126))) | (~v191(constB126)) | v196(constB126)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18767,plain,
% 13.87/9.98 (~v191(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18766, 18765, 17641])).
% 13.87/9.98 tff(18768,plain,
% 13.87/9.98 (((~v182(constB126)) | (~v191(constB126))) | v191(constB126)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18769,plain,
% 13.87/9.98 ((~v182(constB126)) | (~v191(constB126))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18768, 18767])).
% 13.87/9.98 tff(18770,plain,
% 13.87/9.98 ((~(v197(constB126) <=> (~((~v182(constB126)) | (~v191(constB126)))))) | (~v197(constB126)) | (~((~v182(constB126)) | (~v191(constB126))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18771,plain,
% 13.87/9.98 (~v197(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18770, 18769, 17639])).
% 13.87/9.98 tff(18772,plain,
% 13.87/9.98 ((~(v197(constB126) | v198(constB126))) | v197(constB126) | v198(constB126)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18773,plain,
% 13.87/9.98 (~(v197(constB126) | v198(constB126))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18772, 18771, 17637])).
% 13.87/9.98 tff(18774,plain,
% 13.87/9.98 ((~(v194(constB126) <=> (v197(constB126) | v198(constB126)))) | (~v194(constB126)) | (v197(constB126) | v198(constB126))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18775,plain,
% 13.87/9.98 (~v194(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18774, 18773, 17603])).
% 13.87/9.98 tff(18776,plain,
% 13.87/9.98 ((~(v196(constB127) <=> v194(constB126))) | (~v196(constB127)) | v194(constB126)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18777,plain,
% 13.87/9.98 (~v196(constB127)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18776, 18775, 17601])).
% 13.87/9.98 tff(18778,plain,
% 13.87/9.98 ((~(v191(constB127) <=> v196(constB127))) | (~v191(constB127)) | v196(constB127)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18779,plain,
% 13.87/9.98 (~v191(constB127)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18778, 18777, 17594])).
% 13.87/9.98 tff(18780,plain,
% 13.87/9.98 (((~v191(constB127)) | (~v206(constB127))) | v191(constB127)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18781,plain,
% 13.87/9.98 ((~v191(constB127)) | (~v206(constB127))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18780, 18779])).
% 13.87/9.98 tff(18782,plain,
% 13.87/9.98 ((~(v209(constB127) <=> (~((~v191(constB127)) | (~v206(constB127)))))) | (~v209(constB127)) | (~((~v191(constB127)) | (~v206(constB127))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18783,plain,
% 13.87/9.98 (~v209(constB127)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18782, 18781, 17592])).
% 13.87/9.98 tff(18784,plain,
% 13.87/9.98 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127))))))),
% 13.87/9.98 inference(rewrite,[status(thm)],[])).
% 13.87/9.98 tff(18785,plain,
% 13.87/9.98 ((v205(constB127) <=> (~((~v206(constB127)) | (~v158(constB127))))) <=> (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127)))))),
% 13.87/9.98 inference(rewrite,[status(thm)],[])).
% 13.87/9.98 tff(18786,plain,
% 13.87/9.98 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v206(constB127)) | (~v158(constB127)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127))))))),
% 13.87/9.98 inference(monotonicity,[status(thm)],[18785])).
% 13.87/9.98 tff(18787,plain,
% 13.87/9.98 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v206(constB127)) | (~v158(constB127)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127))))))),
% 13.87/9.98 inference(transitivity,[status(thm)],[18786, 18784])).
% 13.87/9.98 tff(18788,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v206(constB127)) | (~v158(constB127)))))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18789,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127)))))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18788, 18787])).
% 13.87/9.98 tff(18790,plain,
% 13.87/9.98 (v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127))))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18789, 2502])).
% 13.87/9.98 tff(18791,plain,
% 13.87/9.98 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB127) <=> v180(constB127))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18792,plain,
% 13.87/9.98 (v158(constB127) <=> v180(constB127)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18791, 358])).
% 13.87/9.98 tff(18793,plain,
% 13.87/9.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126)))),
% 13.87/9.98 inference(rewrite,[status(thm)],[])).
% 13.87/9.98 tff(18794,plain,
% 13.87/9.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126)))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18795,plain,
% 13.87/9.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126))),
% 13.87/9.98 inference(modus_ponens,[status(thm)],[18794, 18793])).
% 13.87/9.98 tff(18796,plain,
% 13.87/9.98 (v180(constB127) <=> v178(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18795, 17597, 370])).
% 13.87/9.98 tff(18797,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB126) <=> (v181(constB126) | v185(constB126)))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18798,plain,
% 13.87/9.98 (v178(constB126) <=> (v181(constB126) | v185(constB126))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18797, 384])).
% 13.87/9.98 tff(18799,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB126) <=> (~((~v186(constB126)) | (~v187(constB126)))))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18800,plain,
% 13.87/9.98 (v185(constB126) <=> (~((~v186(constB126)) | (~v187(constB126))))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18799, 396])).
% 13.87/9.98 tff(18801,plain,
% 13.87/9.98 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB126) <=> (~((~v184(constB126)) | (~v160(constB126)))))),
% 13.87/9.98 inference(quant_inst,[status(thm)],[])).
% 13.87/9.98 tff(18802,plain,
% 13.87/9.98 (v187(constB126) <=> (~((~v184(constB126)) | (~v160(constB126))))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18801, 408])).
% 13.87/9.98 tff(18803,plain,
% 13.87/9.98 (((~v184(constB126)) | (~v160(constB126))) | v184(constB126)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18804,plain,
% 13.87/9.98 ((~v184(constB126)) | (~v160(constB126))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18803, 17624])).
% 13.87/9.98 tff(18805,plain,
% 13.87/9.98 ((~(v187(constB126) <=> (~((~v184(constB126)) | (~v160(constB126)))))) | (~v187(constB126)) | (~((~v184(constB126)) | (~v160(constB126))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18806,plain,
% 13.87/9.98 ((~(v187(constB126) <=> (~((~v184(constB126)) | (~v160(constB126)))))) | (~v187(constB126))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18805, 18804])).
% 13.87/9.98 tff(18807,plain,
% 13.87/9.98 (~v187(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18806, 18802])).
% 13.87/9.98 tff(18808,plain,
% 13.87/9.98 (((~v186(constB126)) | (~v187(constB126))) | v187(constB126)),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18809,plain,
% 13.87/9.98 ((~v186(constB126)) | (~v187(constB126))),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18808, 18807])).
% 13.87/9.98 tff(18810,plain,
% 13.87/9.98 ((~(v185(constB126) <=> (~((~v186(constB126)) | (~v187(constB126)))))) | (~v185(constB126)) | (~((~v186(constB126)) | (~v187(constB126))))),
% 13.87/9.98 inference(tautology,[status(thm)],[])).
% 13.87/9.98 tff(18811,plain,
% 13.87/9.98 (~v185(constB126)),
% 13.87/9.98 inference(unit_resolution,[status(thm)],[18810, 18809, 18800])).
% 13.87/9.98 tff(18812,plain,
% 13.87/9.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126))))))),
% 13.87/9.98 inference(rewrite,[status(thm)],[])).
% 13.87/9.98 tff(18813,plain,
% 13.87/9.98 ((v181(constB126) <=> (~((~v182(constB126)) | (~v158(constB126))))) <=> (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126)))))),
% 13.87/9.99 inference(rewrite,[status(thm)],[])).
% 13.87/9.99 tff(18814,plain,
% 13.87/9.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v182(constB126)) | (~v158(constB126)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126))))))),
% 13.87/9.99 inference(monotonicity,[status(thm)],[18813])).
% 13.87/9.99 tff(18815,plain,
% 13.87/9.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v182(constB126)) | (~v158(constB126)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126))))))),
% 13.87/9.99 inference(transitivity,[status(thm)],[18814, 18812])).
% 13.87/9.99 tff(18816,plain,
% 13.87/9.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v182(constB126)) | (~v158(constB126)))))),
% 13.87/9.99 inference(quant_inst,[status(thm)],[])).
% 13.87/9.99 tff(18817,plain,
% 13.87/9.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126)))))),
% 13.87/9.99 inference(modus_ponens,[status(thm)],[18816, 18815])).
% 13.87/9.99 tff(18818,plain,
% 13.87/9.99 (v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126))))),
% 13.87/9.99 inference(unit_resolution,[status(thm)],[18817, 444])).
% 13.87/9.99 tff(18819,plain,
% 13.87/9.99 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB126) <=> v180(constB126))),
% 13.87/9.99 inference(quant_inst,[status(thm)],[])).
% 13.87/9.99 tff(18820,plain,
% 13.87/9.99 (v158(constB126) <=> v180(constB126)),
% 13.87/9.99 inference(unit_resolution,[status(thm)],[18819, 358])).
% 13.87/9.99 tff(18821,plain,
% 13.87/9.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125)))),
% 13.87/9.99 inference(rewrite,[status(thm)],[])).
% 13.87/9.99 tff(18822,plain,
% 13.87/9.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125)))),
% 13.87/9.99 inference(quant_inst,[status(thm)],[])).
% 13.87/9.99 tff(18823,plain,
% 13.87/9.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125))),
% 13.87/9.99 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 13.87/9.99 tff(18824,plain,
% 13.87/9.99 (v180(constB126) <=> v178(constB125)),
% 13.87/9.99 inference(unit_resolution,[status(thm)],[18823, 17644, 370])).
% 13.87/9.99 tff(18825,plain,
% 13.87/9.99 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB125) <=> (v181(constB125) | v185(constB125)))),
% 13.87/9.99 inference(quant_inst,[status(thm)],[])).
% 13.87/9.99 tff(18826,plain,
% 13.87/9.99 (v178(constB125) <=> (v181(constB125) | v185(constB125))),
% 13.87/9.99 inference(unit_resolution,[status(thm)],[18825, 384])).
% 13.87/9.99 tff(18827,plain,
% 13.87/9.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125))))))),
% 13.87/9.99 inference(rewrite,[status(thm)],[])).
% 13.87/9.99 tff(18828,plain,
% 13.87/9.99 ((v181(constB125) <=> (~((~v182(constB125)) | (~v158(constB125))))) <=> (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125)))))),
% 13.87/9.99 inference(rewrite,[status(thm)],[])).
% 13.87/9.99 tff(18829,plain,
% 13.87/9.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v182(constB125)) | (~v158(constB125)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125))))))),
% 13.87/9.99 inference(monotonicity,[status(thm)],[18828])).
% 13.94/9.99 tff(18830,plain,
% 13.94/9.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v182(constB125)) | (~v158(constB125)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125))))))),
% 13.94/9.99 inference(transitivity,[status(thm)],[18829, 18827])).
% 13.94/9.99 tff(18831,plain,
% 13.94/9.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v182(constB125)) | (~v158(constB125)))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18832,plain,
% 13.94/9.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125)))))),
% 13.94/9.99 inference(modus_ponens,[status(thm)],[18831, 18830])).
% 13.94/9.99 tff(18833,plain,
% 13.94/9.99 (v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125))))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18832, 444])).
% 13.94/9.99 tff(18834,plain,
% 13.94/9.99 (((~v158(constB125)) | (~v182(constB125))) | v182(constB125)),
% 13.94/9.99 inference(tautology,[status(thm)],[])).
% 13.94/9.99 tff(18835,plain,
% 13.94/9.99 ((~v158(constB125)) | (~v182(constB125))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18834, 17717])).
% 13.94/9.99 tff(18836,plain,
% 13.94/9.99 ((~(v181(constB125) <=> (~((~v158(constB125)) | (~v182(constB125)))))) | (~v181(constB125)) | (~((~v158(constB125)) | (~v182(constB125))))),
% 13.94/9.99 inference(tautology,[status(thm)],[])).
% 13.94/9.99 tff(18837,plain,
% 13.94/9.99 (~v181(constB125)),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18836, 18835, 18833])).
% 13.94/9.99 tff(18838,plain,
% 13.94/9.99 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB125) <=> (~((~v186(constB125)) | (~v187(constB125)))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18839,plain,
% 13.94/9.99 (v185(constB125) <=> (~((~v186(constB125)) | (~v187(constB125))))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18838, 396])).
% 13.94/9.99 tff(18840,plain,
% 13.94/9.99 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB125) <=> (~((~v184(constB125)) | (~v160(constB125)))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18841,plain,
% 13.94/9.99 (v187(constB125) <=> (~((~v184(constB125)) | (~v160(constB125))))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18840, 408])).
% 13.94/9.99 tff(18842,plain,
% 13.94/9.99 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB125) <=> v162(constB125))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18843,plain,
% 13.94/9.99 (v160(constB125) <=> v162(constB125)),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18842, 549])).
% 13.94/9.99 tff(18844,plain,
% 13.94/9.99 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex0)))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18845,plain,
% 13.94/9.99 (v141(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex0))))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18844, 564])).
% 13.94/9.99 tff(18846,plain,
% 13.94/9.99 (((~![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)))),
% 13.94/9.99 inference(rewrite,[status(thm)],[])).
% 13.94/9.99 tff(18847,plain,
% 13.94/9.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18848,plain,
% 13.94/9.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0))),
% 13.94/9.99 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 13.94/9.99 tff(18849,plain,
% 13.94/9.99 (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18848, 1275, 576])).
% 13.94/9.99 tff(18850,plain,
% 13.94/9.99 (((~![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))))))),
% 13.94/9.99 inference(rewrite,[status(thm)],[])).
% 13.94/9.99 tff(18851,plain,
% 13.94/9.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18852,plain,
% 13.94/9.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))),
% 13.94/9.99 inference(modus_ponens,[status(thm)],[18851, 18850])).
% 13.94/9.99 tff(18853,plain,
% 13.94/9.99 (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18852, 17728, 596])).
% 13.94/9.99 tff(18854,plain,
% 13.94/9.99 (((~![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))))))),
% 13.94/9.99 inference(rewrite,[status(thm)],[])).
% 13.94/9.99 tff(18855,plain,
% 13.94/9.99 (((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 13.94/9.99 inference(rewrite,[status(thm)],[])).
% 13.94/9.99 tff(18856,plain,
% 13.94/9.99 (((~![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)))))))),
% 13.94/9.99 inference(monotonicity,[status(thm)],[18855])).
% 13.94/9.99 tff(18857,plain,
% 13.94/9.99 (((~![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))))))),
% 13.94/9.99 inference(transitivity,[status(thm)],[18856, 18854])).
% 13.94/9.99 tff(18858,plain,
% 13.94/9.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18859,plain,
% 13.94/9.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))),
% 13.94/9.99 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 13.94/9.99 tff(18860,plain,
% 13.94/9.99 (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18859, 17728, 616])).
% 13.94/9.99 tff(18861,plain,
% 13.94/9.99 (((~v1(constB125)) | (~v102(constB125))) | v1(constB125)),
% 13.94/9.99 inference(tautology,[status(thm)],[])).
% 13.94/9.99 tff(18862,plain,
% 13.94/9.99 ((~v1(constB125)) | (~v102(constB125))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18861, 17703])).
% 13.94/9.99 tff(18863,plain,
% 13.94/9.99 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125)) | (~((~v1(constB125)) | (~v102(constB125))))),
% 13.94/9.99 inference(tautology,[status(thm)],[])).
% 13.94/9.99 tff(18864,plain,
% 13.94/9.99 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18863, 18862])).
% 13.94/9.99 tff(18865,plain,
% 13.94/9.99 (~v101(constB125)),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18864, 18860])).
% 13.94/9.99 tff(18866,plain,
% 13.94/9.99 (((~v101(constB125)) | (~v110(constB125))) | v101(constB125)),
% 13.94/9.99 inference(tautology,[status(thm)],[])).
% 13.94/9.99 tff(18867,plain,
% 13.94/9.99 ((~v101(constB125)) | (~v110(constB125))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18866, 18865])).
% 13.94/9.99 tff(18868,plain,
% 13.94/9.99 ((~(v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))) | (~v100(constB125)) | (~((~v101(constB125)) | (~v110(constB125))))),
% 13.94/9.99 inference(tautology,[status(thm)],[])).
% 13.94/9.99 tff(18869,plain,
% 13.94/9.99 (~v100(constB125)),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18868, 18867, 18853])).
% 13.94/9.99 tff(18870,plain,
% 13.94/9.99 (((~![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))))),
% 13.94/9.99 inference(rewrite,[status(thm)],[])).
% 13.94/9.99 tff(18871,plain,
% 13.94/9.99 ((~![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))))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18872,plain,
% 13.94/9.99 ((~![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)))),
% 13.94/9.99 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 13.94/9.99 tff(18873,plain,
% 13.94/9.99 (v100(constB125) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18872, 17728, 645])).
% 13.94/9.99 tff(18874,plain,
% 13.94/9.99 (![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18873, 18869])).
% 13.94/9.99 tff(18875,plain,
% 13.94/9.99 (((~![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)))),
% 13.94/9.99 inference(rewrite,[status(thm)],[])).
% 13.94/9.99 tff(18876,plain,
% 13.94/9.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))),
% 13.94/9.99 inference(quant_inst,[status(thm)],[])).
% 13.94/9.99 tff(18877,plain,
% 13.94/9.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0))),
% 13.94/9.99 inference(modus_ponens,[status(thm)],[18876, 18875])).
% 13.94/9.99 tff(18878,plain,
% 13.94/9.99 (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)),
% 13.94/9.99 inference(unit_resolution,[status(thm)],[18877, 1275, 18874])).
% 13.94/9.99 tff(18879,plain,
% 13.94/9.99 (((~![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))))))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18880,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18881,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))),
% 13.94/10.00 inference(modus_ponens,[status(thm)],[18880, 18879])).
% 13.94/10.00 tff(18882,plain,
% 13.94/10.00 (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18881, 17774, 596])).
% 13.94/10.00 tff(18883,plain,
% 13.94/10.00 (((~![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))))))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18884,plain,
% 13.94/10.00 (((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18885,plain,
% 13.94/10.00 (((~![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)))))))),
% 13.94/10.00 inference(monotonicity,[status(thm)],[18884])).
% 13.94/10.00 tff(18886,plain,
% 13.94/10.00 (((~![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))))))),
% 13.94/10.00 inference(transitivity,[status(thm)],[18885, 18883])).
% 13.94/10.00 tff(18887,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18888,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))),
% 13.94/10.00 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 13.94/10.00 tff(18889,plain,
% 13.94/10.00 (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18888, 17774, 616])).
% 13.94/10.00 tff(18890,plain,
% 13.94/10.00 (((~![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)))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18891,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18892,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124))),
% 13.94/10.00 inference(modus_ponens,[status(thm)],[18891, 18890])).
% 13.94/10.00 tff(18893,plain,
% 13.94/10.00 ((~v102(constB124)) <=> v104(constB124)),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18892, 17774, 678])).
% 13.94/10.00 tff(18894,plain,
% 13.94/10.00 (((~![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)))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18895,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18896,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123))),
% 13.94/10.00 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 13.94/10.00 tff(18897,plain,
% 13.94/10.00 (v104(constB124) <=> v1(constB123)),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18896, 17774, 692])).
% 13.94/10.00 tff(18898,plain,
% 13.94/10.00 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124)) | v1(constB123)),
% 13.94/10.00 inference(tautology,[status(thm)],[])).
% 13.94/10.00 tff(18899,plain,
% 13.94/10.00 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18898, 17838])).
% 13.94/10.00 tff(18900,plain,
% 13.94/10.00 (~v104(constB124)),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18899, 18897])).
% 13.94/10.00 tff(18901,plain,
% 13.94/10.00 ((~((~v102(constB124)) <=> v104(constB124))) | v102(constB124) | v104(constB124)),
% 13.94/10.00 inference(tautology,[status(thm)],[])).
% 13.94/10.00 tff(18902,plain,
% 13.94/10.00 (v102(constB124)),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18901, 18900, 18893])).
% 13.94/10.00 tff(18903,plain,
% 13.94/10.00 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v1(constB124)) | (~v102(constB124))),
% 13.94/10.00 inference(tautology,[status(thm)],[])).
% 13.94/10.00 tff(18904,plain,
% 13.94/10.00 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v102(constB124))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18903, 17745])).
% 13.94/10.00 tff(18905,plain,
% 13.94/10.00 (~((~v1(constB124)) | (~v102(constB124)))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18904, 18902])).
% 13.94/10.00 tff(18906,plain,
% 13.94/10.00 ((~(v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))) | v101(constB124) | ((~v1(constB124)) | (~v102(constB124)))),
% 13.94/10.00 inference(tautology,[status(thm)],[])).
% 13.94/10.00 tff(18907,plain,
% 13.94/10.00 (v101(constB124)),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18906, 18905, 18889])).
% 13.94/10.00 tff(18908,plain,
% 13.94/10.00 (((~![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)))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18909,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18910,plain,
% 13.94/10.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123))),
% 13.94/10.00 inference(modus_ponens,[status(thm)],[18909, 18908])).
% 13.94/10.00 tff(18911,plain,
% 13.94/10.00 (v110(constB124) <=> v108(constB123)),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18910, 17774, 722])).
% 13.94/10.00 tff(18912,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB123) <=> (v111(constB123) | v112(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18913,plain,
% 13.94/10.00 (v108(constB123) <=> (v111(constB123) | v112(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18912, 733])).
% 13.94/10.00 tff(18914,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18915,plain,
% 13.94/10.00 (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123))))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18914, 745])).
% 13.94/10.00 tff(18916,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB123) <=> (v114(constB123) | v125(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18917,plain,
% 13.94/10.00 (v113(constB123) <=> (v114(constB123) | v125(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18916, 754])).
% 13.94/10.00 tff(18918,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB123) <=> (v115(constB123) | v124(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18919,plain,
% 13.94/10.00 (v114(constB123) <=> (v115(constB123) | v124(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18918, 763])).
% 13.94/10.00 tff(18920,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB123) <=> (v116(constB123) | v123(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18921,plain,
% 13.94/10.00 (v115(constB123) <=> (v116(constB123) | v123(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18920, 772])).
% 13.94/10.00 tff(18922,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB123) <=> (v117(constB123) | v122(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18923,plain,
% 13.94/10.00 (v116(constB123) <=> (v117(constB123) | v122(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18922, 885])).
% 13.94/10.00 tff(18924,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB123) <=> (v118(constB123) | v121(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18925,plain,
% 13.94/10.00 (v117(constB123) <=> (v118(constB123) | v121(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18924, 1000])).
% 13.94/10.00 tff(18926,plain,
% 13.94/10.00 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB123) <=> (v119(constB123) | v120(constB123)))),
% 13.94/10.00 inference(quant_inst,[status(thm)],[])).
% 13.94/10.00 tff(18927,plain,
% 13.94/10.00 (v118(constB123) <=> (v119(constB123) | v120(constB123))),
% 13.94/10.00 inference(unit_resolution,[status(thm)],[18926, 1117])).
% 13.94/10.00 tff(18928,plain,
% 13.94/10.00 (((~![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))))))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18929,plain,
% 13.94/10.00 ((v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0))))) <=> (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))),
% 13.94/10.00 inference(rewrite,[status(thm)],[])).
% 13.94/10.00 tff(18930,plain,
% 13.94/10.00 (((~![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))))))),
% 13.94/10.01 inference(monotonicity,[status(thm)],[18929])).
% 13.94/10.01 tff(18931,plain,
% 13.94/10.01 (((~![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))))))),
% 13.94/10.01 inference(transitivity,[status(thm)],[18930, 18928])).
% 13.94/10.01 tff(18932,plain,
% 13.94/10.01 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(18933,plain,
% 13.94/10.01 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[18932, 18931])).
% 13.94/10.01 tff(18934,plain,
% 13.94/10.01 (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18933, 1132])).
% 13.94/10.01 tff(18935,plain,
% 13.94/10.01 ((~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))) | v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18936,plain,
% 13.94/10.01 (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18935, 18653, 18616, 18579])).
% 13.94/10.01 tff(18937,plain,
% 13.94/10.01 ((~(v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))) | v120(constB123) | (v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18938,plain,
% 13.94/10.01 (v120(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18937, 18936, 18934])).
% 13.94/10.01 tff(18939,plain,
% 13.94/10.01 ((v119(constB123) | v120(constB123)) | (~v120(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18940,plain,
% 13.94/10.01 (v119(constB123) | v120(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18939, 18938])).
% 13.94/10.01 tff(18941,plain,
% 13.94/10.01 ((~(v118(constB123) <=> (v119(constB123) | v120(constB123)))) | v118(constB123) | (~(v119(constB123) | v120(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18942,plain,
% 13.94/10.01 (v118(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18941, 18940, 18927])).
% 13.94/10.01 tff(18943,plain,
% 13.94/10.01 ((v118(constB123) | v121(constB123)) | (~v118(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18944,plain,
% 13.94/10.01 (v118(constB123) | v121(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18943, 18942])).
% 13.94/10.01 tff(18945,plain,
% 13.94/10.01 ((~(v117(constB123) <=> (v118(constB123) | v121(constB123)))) | v117(constB123) | (~(v118(constB123) | v121(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18946,plain,
% 13.94/10.01 (v117(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18945, 18944, 18925])).
% 13.94/10.01 tff(18947,plain,
% 13.94/10.01 ((v117(constB123) | v122(constB123)) | (~v117(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18948,plain,
% 13.94/10.01 (v117(constB123) | v122(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18947, 18946])).
% 13.94/10.01 tff(18949,plain,
% 13.94/10.01 ((~(v116(constB123) <=> (v117(constB123) | v122(constB123)))) | v116(constB123) | (~(v117(constB123) | v122(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18950,plain,
% 13.94/10.01 (v116(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18949, 18948, 18923])).
% 13.94/10.01 tff(18951,plain,
% 13.94/10.01 ((v116(constB123) | v123(constB123)) | (~v116(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18952,plain,
% 13.94/10.01 (v116(constB123) | v123(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18951, 18950])).
% 13.94/10.01 tff(18953,plain,
% 13.94/10.01 ((~(v115(constB123) <=> (v116(constB123) | v123(constB123)))) | v115(constB123) | (~(v116(constB123) | v123(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18954,plain,
% 13.94/10.01 (v115(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18953, 18952, 18921])).
% 13.94/10.01 tff(18955,plain,
% 13.94/10.01 ((v115(constB123) | v124(constB123)) | (~v115(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18956,plain,
% 13.94/10.01 (v115(constB123) | v124(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18955, 18954])).
% 13.94/10.01 tff(18957,plain,
% 13.94/10.01 ((~(v114(constB123) <=> (v115(constB123) | v124(constB123)))) | v114(constB123) | (~(v115(constB123) | v124(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18958,plain,
% 13.94/10.01 (v114(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18957, 18956, 18919])).
% 13.94/10.01 tff(18959,plain,
% 13.94/10.01 ((v114(constB123) | v125(constB123)) | (~v114(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18960,plain,
% 13.94/10.01 (v114(constB123) | v125(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18959, 18958])).
% 13.94/10.01 tff(18961,plain,
% 13.94/10.01 ((~(v113(constB123) <=> (v114(constB123) | v125(constB123)))) | v113(constB123) | (~(v114(constB123) | v125(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18962,plain,
% 13.94/10.01 (v113(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18961, 18960, 18917])).
% 13.94/10.01 tff(18963,plain,
% 13.94/10.01 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB123)) <=> v111(constB123))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(18964,plain,
% 13.94/10.01 ((~v126(constB123)) <=> v111(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18963, 1345])).
% 13.94/10.01 tff(18965,plain,
% 13.94/10.01 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB123) <=> v26(constB123))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(18966,plain,
% 13.94/10.01 (v111(constB123) <=> v26(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18965, 1357])).
% 13.94/10.01 tff(18967,plain,
% 13.94/10.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(18968,plain,
% 13.94/10.01 (~v26(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18967, 1369])).
% 13.94/10.01 tff(18969,plain,
% 13.94/10.01 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123)) | v26(constB123)),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18970,plain,
% 13.94/10.01 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18969, 18968])).
% 13.94/10.01 tff(18971,plain,
% 13.94/10.01 (~v111(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18970, 18966])).
% 13.94/10.01 tff(18972,plain,
% 13.94/10.01 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123) | v111(constB123)),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18973,plain,
% 13.94/10.01 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18972, 18971])).
% 13.94/10.01 tff(18974,plain,
% 13.94/10.01 (v126(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18973, 18964])).
% 13.94/10.01 tff(18975,plain,
% 13.94/10.01 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123)) | (~v126(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18976,plain,
% 13.94/10.01 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18975, 18974])).
% 13.94/10.01 tff(18977,plain,
% 13.94/10.01 (~((~v113(constB123)) | (~v126(constB123)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18976, 18962])).
% 13.94/10.01 tff(18978,plain,
% 13.94/10.01 ((~(v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))) | v112(constB123) | ((~v113(constB123)) | (~v126(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18979,plain,
% 13.94/10.01 (v112(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18978, 18977, 18915])).
% 13.94/10.01 tff(18980,plain,
% 13.94/10.01 ((v111(constB123) | v112(constB123)) | (~v112(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18981,plain,
% 13.94/10.01 (v111(constB123) | v112(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18980, 18979])).
% 13.94/10.01 tff(18982,plain,
% 13.94/10.01 ((~(v108(constB123) <=> (v111(constB123) | v112(constB123)))) | v108(constB123) | (~(v111(constB123) | v112(constB123)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18983,plain,
% 13.94/10.01 (v108(constB123)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18982, 18981, 18913])).
% 13.94/10.01 tff(18984,plain,
% 13.94/10.01 ((~(v110(constB124) <=> v108(constB123))) | v110(constB124) | (~v108(constB123))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18985,plain,
% 13.94/10.01 (v110(constB124)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18984, 18983, 18911])).
% 13.94/10.01 tff(18986,plain,
% 13.94/10.01 ((~((~v101(constB124)) | (~v110(constB124)))) | (~v101(constB124)) | (~v110(constB124))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18987,plain,
% 13.94/10.01 (~((~v101(constB124)) | (~v110(constB124)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18986, 18985, 18907])).
% 13.94/10.01 tff(18988,plain,
% 13.94/10.01 ((~(v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))) | v100(constB124) | ((~v101(constB124)) | (~v110(constB124)))),
% 13.94/10.01 inference(tautology,[status(thm)],[])).
% 13.94/10.01 tff(18989,plain,
% 13.94/10.01 (v100(constB124)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18988, 18987, 18882])).
% 13.94/10.01 tff(18990,plain,
% 13.94/10.01 (((~![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))))),
% 13.94/10.01 inference(rewrite,[status(thm)],[])).
% 13.94/10.01 tff(18991,plain,
% 13.94/10.01 ((~![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))))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(18992,plain,
% 13.94/10.01 ((~![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)))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 13.94/10.01 tff(18993,plain,
% 13.94/10.01 ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18992, 1405])).
% 13.94/10.01 tff(18994,plain,
% 13.94/10.01 (![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18993, 18989])).
% 13.94/10.01 tff(18995,plain,
% 13.94/10.01 (((~![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)))),
% 13.94/10.01 inference(rewrite,[status(thm)],[])).
% 13.94/10.01 tff(18996,plain,
% 13.94/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(18997,plain,
% 13.94/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[18996, 18995])).
% 13.94/10.01 tff(18998,plain,
% 13.94/10.01 (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[18997, 1275, 18994])).
% 13.94/10.01 tff(18999,plain,
% 13.94/10.01 (((~![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))))),
% 13.94/10.01 inference(rewrite,[status(thm)],[])).
% 13.94/10.01 tff(19000,plain,
% 13.94/10.01 ((~![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))))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(19001,plain,
% 13.94/10.01 ((~![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)))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 13.94/10.01 tff(19002,plain,
% 13.94/10.01 (![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[19001, 17774, 1427])).
% 13.94/10.01 tff(19003,plain,
% 13.94/10.01 (((~![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)))),
% 13.94/10.01 inference(rewrite,[status(thm)],[])).
% 13.94/10.01 tff(19004,plain,
% 13.94/10.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(19005,plain,
% 13.94/10.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[19004, 19003])).
% 13.94/10.01 tff(19006,plain,
% 13.94/10.01 (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[19005, 1275, 19002])).
% 13.94/10.01 tff(19007,plain,
% 13.94/10.01 (((~![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))))),
% 13.94/10.01 inference(rewrite,[status(thm)],[])).
% 13.94/10.01 tff(19008,plain,
% 13.94/10.01 ((~![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))))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(19009,plain,
% 13.94/10.01 ((~![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)))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 13.94/10.01 tff(19010,plain,
% 13.94/10.01 (![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))),
% 13.94/10.01 inference(unit_resolution,[status(thm)],[19009, 1448, 18971])).
% 13.94/10.01 tff(19011,plain,
% 13.94/10.01 (((~![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)))),
% 13.94/10.01 inference(rewrite,[status(thm)],[])).
% 13.94/10.01 tff(19012,plain,
% 13.94/10.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))),
% 13.94/10.01 inference(quant_inst,[status(thm)],[])).
% 13.94/10.01 tff(19013,plain,
% 13.94/10.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0))),
% 13.94/10.01 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 13.94/10.02 tff(19014,plain,
% 13.94/10.02 (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19013, 1275, 19010])).
% 13.94/10.02 tff(19015,plain,
% 13.94/10.02 (((~![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))))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19016,plain,
% 13.94/10.02 ((~![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))))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19017,plain,
% 13.94/10.02 ((~![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)))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 13.94/10.02 tff(19018,plain,
% 13.94/10.02 ((~v120(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19017, 1652])).
% 13.94/10.02 tff(19019,plain,
% 13.94/10.02 (![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19018, 18938])).
% 13.94/10.02 tff(19020,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19021,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b010(bitIndex0)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19022,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b010(bitIndex0))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 13.94/10.02 tff(19023,plain,
% 13.94/10.02 (v130(constB123, bitIndex0) <=> b010(bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19022, 1275, 19019])).
% 13.94/10.02 tff(19024,plain,
% 13.94/10.02 ((~(v130(constB123, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB123, bitIndex0)) | b010(bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19025,plain,
% 13.94/10.02 ((~(v130(constB123, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB123, bitIndex0))),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19024, 1698])).
% 13.94/10.02 tff(19026,plain,
% 13.94/10.02 (~v130(constB123, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19025, 19023])).
% 13.94/10.02 tff(19027,plain,
% 13.94/10.02 ((~(v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0))) | (~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19028,plain,
% 13.94/10.02 (~v127(constB123, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19027, 19026, 19014])).
% 13.94/10.02 tff(19029,plain,
% 13.94/10.02 ((~(v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0))) | (~v129(constB124, bitIndex0)) | v127(constB123, bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19030,plain,
% 13.94/10.02 (~v129(constB124, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19029, 19028, 19006])).
% 13.94/10.02 tff(19031,plain,
% 13.94/10.02 ((~(v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19032,plain,
% 13.94/10.02 (~v90(constB124, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19031, 19030, 18998])).
% 13.94/10.02 tff(19033,plain,
% 13.94/10.02 ((~(v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0))) | (~v90(constB125, bitIndex0)) | v90(constB124, bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19034,plain,
% 13.94/10.02 (~v90(constB125, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19033, 19032, 18878])).
% 13.94/10.02 tff(19035,plain,
% 13.94/10.02 ((~(v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0))) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19036,plain,
% 13.94/10.02 (~v88(constB125, bitIndex0)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19035, 19034, 18849])).
% 13.94/10.02 tff(19037,plain,
% 13.94/10.02 ((v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex0))) | v88(constB125, bitIndex0)),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19038,plain,
% 13.94/10.02 (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex0))),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19037, 19036])).
% 13.94/10.02 tff(19039,plain,
% 13.94/10.02 ((~(v141(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex0)))))) | (~v141(constB125)) | (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex0))))),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19040,plain,
% 13.94/10.02 (~v141(constB125)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19039, 19038, 18845])).
% 13.94/10.02 tff(19041,plain,
% 13.94/10.02 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB125) <=> (v139(constB125) | v140(constB125)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19042,plain,
% 13.94/10.02 (v170(constB125) <=> (v139(constB125) | v140(constB125))),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19041, 2216])).
% 13.94/10.02 tff(19043,plain,
% 13.94/10.02 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2))))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19044,plain,
% 13.94/10.02 (v139(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)))),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19043, 2231])).
% 13.94/10.02 tff(19045,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19046,plain,
% 13.94/10.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19047,plain,
% 13.94/10.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19046, 19045])).
% 13.94/10.02 tff(19048,plain,
% 13.94/10.02 (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19047, 1288, 576])).
% 13.94/10.02 tff(19049,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19050,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19051,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 13.94/10.02 tff(19052,plain,
% 13.94/10.02 (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19051, 1288, 18874])).
% 13.94/10.02 tff(19053,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19054,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19055,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 13.94/10.02 tff(19056,plain,
% 13.94/10.02 (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19055, 1288, 18994])).
% 13.94/10.02 tff(19057,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19058,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19059,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19058, 19057])).
% 13.94/10.02 tff(19060,plain,
% 13.94/10.02 (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19059, 1288, 19002])).
% 13.94/10.02 tff(19061,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19062,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19063,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19062, 19061])).
% 13.94/10.02 tff(19064,plain,
% 13.94/10.02 (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19063, 1288, 19010])).
% 13.94/10.02 tff(19065,plain,
% 13.94/10.02 (((~![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)))),
% 13.94/10.02 inference(rewrite,[status(thm)],[])).
% 13.94/10.02 tff(19066,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b010(bitIndex1)))),
% 13.94/10.02 inference(quant_inst,[status(thm)],[])).
% 13.94/10.02 tff(19067,plain,
% 13.94/10.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b010(bitIndex1))),
% 13.94/10.02 inference(modus_ponens,[status(thm)],[19066, 19065])).
% 13.94/10.02 tff(19068,plain,
% 13.94/10.02 (v130(constB123, bitIndex1) <=> b010(bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19067, 1288, 19019])).
% 13.94/10.02 tff(19069,plain,
% 13.94/10.02 ((~(v130(constB123, bitIndex1) <=> b010(bitIndex1))) | v130(constB123, bitIndex1) | (~b010(bitIndex1))),
% 13.94/10.02 inference(tautology,[status(thm)],[])).
% 13.94/10.02 tff(19070,plain,
% 13.94/10.02 ((~(v130(constB123, bitIndex1) <=> b010(bitIndex1))) | v130(constB123, bitIndex1)),
% 13.94/10.02 inference(unit_resolution,[status(thm)],[19069, 1732])).
% 13.94/10.03 tff(19071,plain,
% 13.94/10.03 (v130(constB123, bitIndex1)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19070, 19068])).
% 13.94/10.03 tff(19072,plain,
% 13.94/10.03 ((~(v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1))) | v127(constB123, bitIndex1) | (~v130(constB123, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19073,plain,
% 13.94/10.03 (v127(constB123, bitIndex1)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19072, 19071, 19064])).
% 13.94/10.03 tff(19074,plain,
% 13.94/10.03 ((~(v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1))) | v129(constB124, bitIndex1) | (~v127(constB123, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19075,plain,
% 13.94/10.03 (v129(constB124, bitIndex1)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19074, 19073, 19060])).
% 13.94/10.03 tff(19076,plain,
% 13.94/10.03 ((~(v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19077,plain,
% 13.94/10.03 (v90(constB124, bitIndex1)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19076, 19075, 19056])).
% 13.94/10.03 tff(19078,plain,
% 13.94/10.03 ((~(v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1))) | v90(constB125, bitIndex1) | (~v90(constB124, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19079,plain,
% 13.94/10.03 (v90(constB125, bitIndex1)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19078, 19077, 19052])).
% 13.94/10.03 tff(19080,plain,
% 13.94/10.03 ((~(v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1))) | v88(constB125, bitIndex1) | (~v90(constB125, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19081,plain,
% 13.94/10.03 (v88(constB125, bitIndex1)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19080, 19079, 19048])).
% 13.94/10.03 tff(19082,plain,
% 13.94/10.03 ((v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19083,plain,
% 13.94/10.03 (v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19082, 19081])).
% 13.94/10.03 tff(19084,plain,
% 13.94/10.03 ((~(v139(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2))))) | (~v139(constB125)) | (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19085,plain,
% 13.94/10.03 (~v139(constB125)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19084, 19083, 19044])).
% 13.94/10.03 tff(19086,plain,
% 13.94/10.03 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))))))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19087,plain,
% 13.94/10.03 ((v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0))))) <=> (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0)))))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19088,plain,
% 13.94/10.03 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))))))),
% 13.94/10.03 inference(monotonicity,[status(thm)],[19087])).
% 13.94/10.03 tff(19089,plain,
% 13.94/10.03 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))))))),
% 13.94/10.03 inference(transitivity,[status(thm)],[19088, 19086])).
% 13.94/10.03 tff(19090,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0)))))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19091,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0)))))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19090, 19089])).
% 13.94/10.03 tff(19092,plain,
% 13.94/10.03 (v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19091, 2250])).
% 13.94/10.03 tff(19093,plain,
% 13.94/10.03 ((v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))) | (~v88(constB125, bitIndex1))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19094,plain,
% 13.94/10.03 (v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19093, 19081])).
% 13.94/10.03 tff(19095,plain,
% 13.94/10.03 ((~(v140(constB125) <=> (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0)))))) | (~v140(constB125)) | (~(v88(constB125, bitIndex2) | v88(constB125, bitIndex1) | (~v88(constB125, bitIndex0))))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19096,plain,
% 13.94/10.03 (~v140(constB125)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19095, 19094, 19092])).
% 13.94/10.03 tff(19097,plain,
% 13.94/10.03 ((~(v139(constB125) | v140(constB125))) | v139(constB125) | v140(constB125)),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19098,plain,
% 13.94/10.03 (~(v139(constB125) | v140(constB125))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19097, 19096, 19085])).
% 13.94/10.03 tff(19099,plain,
% 13.94/10.03 ((~(v170(constB125) <=> (v139(constB125) | v140(constB125)))) | (~v170(constB125)) | (v139(constB125) | v140(constB125))),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19100,plain,
% 13.94/10.03 (~v170(constB125)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19099, 19098, 19042])).
% 13.94/10.03 tff(19101,plain,
% 13.94/10.03 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB125) | v170(constB125) | (~v169(constB125)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB125) | v170(constB125) | (~v169(constB125)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19102,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB125) | v170(constB125) | (~v169(constB125)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19103,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB125) | v170(constB125) | (~v169(constB125))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19102, 19101])).
% 13.94/10.03 tff(19104,plain,
% 13.94/10.03 (v141(constB125) | v170(constB125) | (~v169(constB125))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19103, 2278])).
% 13.94/10.03 tff(19105,plain,
% 13.94/10.03 (~v169(constB125)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19104, 19100, 19040])).
% 13.94/10.03 tff(19106,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB125) <=> (v145(constB125) | v166(constB125)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19107,plain,
% 13.94/10.03 (v165(constB125) <=> (v145(constB125) | v166(constB125))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19106, 2293])).
% 13.94/10.03 tff(19108,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB125) <=> (v142(constB125) | v167(constB125)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19109,plain,
% 13.94/10.03 (v166(constB125) <=> (v142(constB125) | v167(constB125))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19108, 2804])).
% 13.94/10.03 tff(19110,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB125) <=> (v143(constB125) | v144(constB125)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19111,plain,
% 13.94/10.03 (v142(constB125) <=> (v143(constB125) | v144(constB125))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19110, 2813])).
% 13.94/10.03 tff(19112,plain,
% 13.94/10.03 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19113,plain,
% 13.94/10.03 (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1))))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19112, 16089])).
% 13.94/10.03 tff(19114,plain,
% 13.94/10.03 (((~![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)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19115,plain,
% 13.94/10.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19116,plain,
% 13.94/10.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19115, 19114])).
% 13.94/10.03 tff(19117,plain,
% 13.94/10.03 (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19116, 579, 576])).
% 13.94/10.03 tff(19118,plain,
% 13.94/10.03 (((~![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)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19119,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19120,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19119, 19118])).
% 13.94/10.03 tff(19121,plain,
% 13.94/10.03 (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19120, 579, 18874])).
% 13.94/10.03 tff(19122,plain,
% 13.94/10.03 (((~![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)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19123,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19124,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19123, 19122])).
% 13.94/10.03 tff(19125,plain,
% 13.94/10.03 (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19124, 579, 18994])).
% 13.94/10.03 tff(19126,plain,
% 13.94/10.03 (((~![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)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19127,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19128,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19127, 19126])).
% 13.94/10.03 tff(19129,plain,
% 13.94/10.03 (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19128, 579, 19002])).
% 13.94/10.03 tff(19130,plain,
% 13.94/10.03 (((~![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)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19131,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19132,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19131, 19130])).
% 13.94/10.03 tff(19133,plain,
% 13.94/10.03 (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19132, 579, 19010])).
% 13.94/10.03 tff(19134,plain,
% 13.94/10.03 (((~![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)))),
% 13.94/10.03 inference(rewrite,[status(thm)],[])).
% 13.94/10.03 tff(19135,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b010(bitIndex2)))),
% 13.94/10.03 inference(quant_inst,[status(thm)],[])).
% 13.94/10.03 tff(19136,plain,
% 13.94/10.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b010(bitIndex2))),
% 13.94/10.03 inference(modus_ponens,[status(thm)],[19135, 19134])).
% 13.94/10.03 tff(19137,plain,
% 13.94/10.03 (v130(constB123, bitIndex2) <=> b010(bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19136, 579, 19019])).
% 13.94/10.03 tff(19138,plain,
% 13.94/10.03 ((~(v130(constB123, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB123, bitIndex2)) | b010(bitIndex2)),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19139,plain,
% 13.94/10.03 ((~(v130(constB123, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB123, bitIndex2))),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19138, 1664])).
% 13.94/10.03 tff(19140,plain,
% 13.94/10.03 (~v130(constB123, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19139, 19137])).
% 13.94/10.03 tff(19141,plain,
% 13.94/10.03 ((~(v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2))) | (~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19142,plain,
% 13.94/10.03 (~v127(constB123, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19141, 19140, 19133])).
% 13.94/10.03 tff(19143,plain,
% 13.94/10.03 ((~(v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2))) | (~v129(constB124, bitIndex2)) | v127(constB123, bitIndex2)),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19144,plain,
% 13.94/10.03 (~v129(constB124, bitIndex2)),
% 13.94/10.03 inference(unit_resolution,[status(thm)],[19143, 19142, 19129])).
% 13.94/10.03 tff(19145,plain,
% 13.94/10.03 ((~(v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2)),
% 13.94/10.03 inference(tautology,[status(thm)],[])).
% 13.94/10.03 tff(19146,plain,
% 13.94/10.04 (~v90(constB124, bitIndex2)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19145, 19144, 19125])).
% 13.94/10.04 tff(19147,plain,
% 13.94/10.04 ((~(v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2))) | (~v90(constB125, bitIndex2)) | v90(constB124, bitIndex2)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19148,plain,
% 13.94/10.04 (~v90(constB125, bitIndex2)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19147, 19146, 19121])).
% 13.94/10.04 tff(19149,plain,
% 13.94/10.04 ((~(v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2))) | (~v88(constB125, bitIndex2)) | v90(constB125, bitIndex2)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19150,plain,
% 13.94/10.04 (~v88(constB125, bitIndex2)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19149, 19148, 19117])).
% 13.94/10.04 tff(19151,plain,
% 13.94/10.04 ((~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))) | v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19152,plain,
% 13.94/10.04 (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19151, 19081, 19036, 19150])).
% 13.94/10.04 tff(19153,plain,
% 13.94/10.04 ((~(v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))) | v143(constB125) | (v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19154,plain,
% 13.94/10.04 (v143(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19153, 19152, 19113])).
% 13.94/10.04 tff(19155,plain,
% 13.94/10.04 ((v143(constB125) | v144(constB125)) | (~v143(constB125))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19156,plain,
% 13.94/10.04 (v143(constB125) | v144(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19155, 19154])).
% 13.94/10.04 tff(19157,plain,
% 13.94/10.04 ((~(v142(constB125) <=> (v143(constB125) | v144(constB125)))) | v142(constB125) | (~(v143(constB125) | v144(constB125)))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19158,plain,
% 13.94/10.04 (v142(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19157, 19156, 19111])).
% 13.94/10.04 tff(19159,plain,
% 13.94/10.04 ((v142(constB125) | v167(constB125)) | (~v142(constB125))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19160,plain,
% 13.94/10.04 (v142(constB125) | v167(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19159, 19158])).
% 13.94/10.04 tff(19161,plain,
% 13.94/10.04 ((~(v166(constB125) <=> (v142(constB125) | v167(constB125)))) | v166(constB125) | (~(v142(constB125) | v167(constB125)))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19162,plain,
% 13.94/10.04 (v166(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19161, 19160, 19109])).
% 13.94/10.04 tff(19163,plain,
% 13.94/10.04 ((v145(constB125) | v166(constB125)) | (~v166(constB125))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19164,plain,
% 13.94/10.04 (v145(constB125) | v166(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19163, 19162])).
% 13.94/10.04 tff(19165,plain,
% 13.94/10.04 ((~(v165(constB125) <=> (v145(constB125) | v166(constB125)))) | v165(constB125) | (~(v145(constB125) | v166(constB125)))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19166,plain,
% 13.94/10.04 (v165(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19165, 19164, 19107])).
% 13.94/10.04 tff(19167,plain,
% 13.94/10.04 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB125)) | (v162(constB125) <=> v169(constB125)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB125)) | (v162(constB125) <=> v169(constB125)))),
% 13.94/10.04 inference(rewrite,[status(thm)],[])).
% 13.94/10.04 tff(19168,plain,
% 13.94/10.04 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB125)) | (v162(constB125) <=> v169(constB125)))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19169,plain,
% 13.94/10.04 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB125)) | (v162(constB125) <=> v169(constB125))),
% 13.94/10.04 inference(modus_ponens,[status(thm)],[19168, 19167])).
% 13.94/10.04 tff(19170,plain,
% 13.94/10.04 ((~v165(constB125)) | (v162(constB125) <=> v169(constB125))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19169, 2426])).
% 13.94/10.04 tff(19171,plain,
% 13.94/10.04 (v162(constB125) <=> v169(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19170, 19166])).
% 13.94/10.04 tff(19172,plain,
% 13.94/10.04 ((~(v162(constB125) <=> v169(constB125))) | (~v162(constB125)) | v169(constB125)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19173,plain,
% 13.94/10.04 (~v162(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19172, 19171, 19105])).
% 13.94/10.04 tff(19174,plain,
% 13.94/10.04 ((~(v160(constB125) <=> v162(constB125))) | (~v160(constB125)) | v162(constB125)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19175,plain,
% 13.94/10.04 ((~(v160(constB125) <=> v162(constB125))) | (~v160(constB125))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19174, 19173])).
% 13.94/10.04 tff(19176,plain,
% 13.94/10.04 (~v160(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19175, 18843])).
% 13.94/10.04 tff(19177,plain,
% 13.94/10.04 (((~v184(constB125)) | (~v160(constB125))) | v160(constB125)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19178,plain,
% 13.94/10.04 ((~v184(constB125)) | (~v160(constB125))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19177, 19176])).
% 13.94/10.04 tff(19179,plain,
% 13.94/10.04 ((~(v187(constB125) <=> (~((~v184(constB125)) | (~v160(constB125)))))) | (~v187(constB125)) | (~((~v184(constB125)) | (~v160(constB125))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19180,plain,
% 13.94/10.04 (~v187(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19179, 19178, 18841])).
% 13.94/10.04 tff(19181,plain,
% 13.94/10.04 (((~v186(constB125)) | (~v187(constB125))) | v187(constB125)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19182,plain,
% 13.94/10.04 ((~v186(constB125)) | (~v187(constB125))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19181, 19180])).
% 13.94/10.04 tff(19183,plain,
% 13.94/10.04 ((~(v185(constB125) <=> (~((~v186(constB125)) | (~v187(constB125)))))) | (~v185(constB125)) | (~((~v186(constB125)) | (~v187(constB125))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19184,plain,
% 13.94/10.04 (~v185(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19183, 19182, 18839])).
% 13.94/10.04 tff(19185,plain,
% 13.94/10.04 ((~(v181(constB125) | v185(constB125))) | v181(constB125) | v185(constB125)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19186,plain,
% 13.94/10.04 (~(v181(constB125) | v185(constB125))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19185, 19184, 18837])).
% 13.94/10.04 tff(19187,plain,
% 13.94/10.04 ((~(v178(constB125) <=> (v181(constB125) | v185(constB125)))) | (~v178(constB125)) | (v181(constB125) | v185(constB125))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19188,plain,
% 13.94/10.04 (~v178(constB125)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19187, 19186, 18826])).
% 13.94/10.04 tff(19189,plain,
% 13.94/10.04 ((~(v180(constB126) <=> v178(constB125))) | (~v180(constB126)) | v178(constB125)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19190,plain,
% 13.94/10.04 (~v180(constB126)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19189, 19188, 18824])).
% 13.94/10.04 tff(19191,plain,
% 13.94/10.04 ((~(v158(constB126) <=> v180(constB126))) | (~v158(constB126)) | v180(constB126)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19192,plain,
% 13.94/10.04 (~v158(constB126)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19191, 19190, 18820])).
% 13.94/10.04 tff(19193,plain,
% 13.94/10.04 (((~v158(constB126)) | (~v182(constB126))) | v158(constB126)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19194,plain,
% 13.94/10.04 ((~v158(constB126)) | (~v182(constB126))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19193, 19192])).
% 13.94/10.04 tff(19195,plain,
% 13.94/10.04 ((~(v181(constB126) <=> (~((~v158(constB126)) | (~v182(constB126)))))) | (~v181(constB126)) | (~((~v158(constB126)) | (~v182(constB126))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19196,plain,
% 13.94/10.04 (~v181(constB126)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19195, 19194, 18818])).
% 13.94/10.04 tff(19197,plain,
% 13.94/10.04 ((~(v181(constB126) | v185(constB126))) | v181(constB126) | v185(constB126)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19198,plain,
% 13.94/10.04 (~(v181(constB126) | v185(constB126))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19197, 19196, 18811])).
% 13.94/10.04 tff(19199,plain,
% 13.94/10.04 ((~(v178(constB126) <=> (v181(constB126) | v185(constB126)))) | (~v178(constB126)) | (v181(constB126) | v185(constB126))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19200,plain,
% 13.94/10.04 (~v178(constB126)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19199, 19198, 18798])).
% 13.94/10.04 tff(19201,plain,
% 13.94/10.04 ((~(v180(constB127) <=> v178(constB126))) | (~v180(constB127)) | v178(constB126)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19202,plain,
% 13.94/10.04 (~v180(constB127)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19201, 19200, 18796])).
% 13.94/10.04 tff(19203,plain,
% 13.94/10.04 ((~(v158(constB127) <=> v180(constB127))) | (~v158(constB127)) | v180(constB127)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19204,plain,
% 13.94/10.04 (~v158(constB127)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19203, 19202, 18792])).
% 13.94/10.04 tff(19205,plain,
% 13.94/10.04 (((~v158(constB127)) | (~v206(constB127))) | v158(constB127)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19206,plain,
% 13.94/10.04 ((~v158(constB127)) | (~v206(constB127))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19205, 19204])).
% 13.94/10.04 tff(19207,plain,
% 13.94/10.04 ((~(v205(constB127) <=> (~((~v158(constB127)) | (~v206(constB127)))))) | (~v205(constB127)) | (~((~v158(constB127)) | (~v206(constB127))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19208,plain,
% 13.94/10.04 (~v205(constB127)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19207, 19206, 18790])).
% 13.94/10.04 tff(19209,plain,
% 13.94/10.04 ((~(v205(constB127) | v209(constB127))) | v205(constB127) | v209(constB127)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19210,plain,
% 13.94/10.04 (~(v205(constB127) | v209(constB127))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19209, 19208, 18783])).
% 13.94/10.04 tff(19211,plain,
% 13.94/10.04 ((~(v204(constB127) <=> (v205(constB127) | v209(constB127)))) | (~v204(constB127)) | (v205(constB127) | v209(constB127))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19212,plain,
% 13.94/10.04 (~v204(constB127)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19211, 19210, 17585])).
% 13.94/10.04 tff(19213,plain,
% 13.94/10.04 ($false),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19212, 17583])).
% 13.94/10.04 tff(19214,plain,(~(constB127 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 13.94/10.04 tff(19215,assumption,(constB163 = VarCurr!0), introduced(assumption)).
% 13.94/10.04 tff(19216,plain,
% 13.94/10.04 (v204(constB163) <=> v204(VarCurr!0)),
% 13.94/10.04 inference(monotonicity,[status(thm)],[19215])).
% 13.94/10.04 tff(19217,plain,
% 13.94/10.04 (v204(VarCurr!0) <=> v204(constB163)),
% 13.94/10.04 inference(symmetry,[status(thm)],[19216])).
% 13.94/10.04 tff(19218,plain,
% 13.94/10.04 (v204(constB163)),
% 13.94/10.04 inference(modus_ponens,[status(thm)],[27, 19217])).
% 13.94/10.04 tff(19219,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB163) <=> (v205(constB163) | v209(constB163)))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19220,plain,
% 13.94/10.04 (v204(constB163) <=> (v205(constB163) | v209(constB163))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19219, 35])).
% 13.94/10.04 tff(19221,plain,
% 13.94/10.04 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163))))))),
% 13.94/10.04 inference(rewrite,[status(thm)],[])).
% 13.94/10.04 tff(19222,plain,
% 13.94/10.04 ((v209(constB163) <=> (~((~v206(constB163)) | (~v191(constB163))))) <=> (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163)))))),
% 13.94/10.04 inference(rewrite,[status(thm)],[])).
% 13.94/10.04 tff(19223,plain,
% 13.94/10.04 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v206(constB163)) | (~v191(constB163)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163))))))),
% 13.94/10.04 inference(monotonicity,[status(thm)],[19222])).
% 13.94/10.04 tff(19224,plain,
% 13.94/10.04 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v206(constB163)) | (~v191(constB163)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163))))))),
% 13.94/10.04 inference(transitivity,[status(thm)],[19223, 19221])).
% 13.94/10.04 tff(19225,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v206(constB163)) | (~v191(constB163)))))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19226,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163)))))),
% 13.94/10.04 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 13.94/10.04 tff(19227,plain,
% 13.94/10.04 (v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163))))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19226, 47])).
% 13.94/10.04 tff(19228,plain,
% 13.94/10.04 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB163) <=> v196(constB163))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19229,plain,
% 13.94/10.04 (v191(constB163) <=> v196(constB163)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19228, 64])).
% 13.94/10.04 tff(19230,plain,
% 13.94/10.04 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 13.94/10.04 inference(rewrite,[status(thm)],[])).
% 13.94/10.04 tff(19231,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162')).
% 13.94/10.04 tff(19232,plain,
% 13.94/10.04 (nextState(constB162, constB163)),
% 13.94/10.04 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 13.94/10.04 tff(19233,plain,
% 13.94/10.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB162, constB163)) | (v196(constB163) <=> v194(constB162)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB162, constB163)) | (v196(constB163) <=> v194(constB162)))),
% 13.94/10.04 inference(rewrite,[status(thm)],[])).
% 13.94/10.04 tff(19234,plain,
% 13.94/10.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB162, constB163)) | (v196(constB163) <=> v194(constB162)))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19235,plain,
% 13.94/10.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB162, constB163)) | (v196(constB163) <=> v194(constB162))),
% 13.94/10.04 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 13.94/10.04 tff(19236,plain,
% 13.94/10.04 (v196(constB163) <=> v194(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19235, 19232, 76])).
% 13.94/10.04 tff(19237,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB162) <=> (v197(constB162) | v198(constB162)))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19238,plain,
% 13.94/10.04 (v194(constB162) <=> (v197(constB162) | v198(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19237, 90])).
% 13.94/10.04 tff(19239,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB162) <=> (~((~v158(constB162)) | (~v199(constB162)))))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19240,plain,
% 13.94/10.04 (v198(constB162) <=> (~((~v158(constB162)) | (~v199(constB162))))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19239, 102])).
% 13.94/10.04 tff(19241,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB162) <=> (~((~v186(constB162)) | (~v200(constB162)))))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19242,plain,
% 13.94/10.04 (v199(constB162) <=> (~((~v186(constB162)) | (~v200(constB162))))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19241, 114])).
% 13.94/10.04 tff(19243,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB162) <=> (~((~v184(constB162)) | (~v84(constB162)))))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19244,plain,
% 13.94/10.04 (v200(constB162) <=> (~((~v184(constB162)) | (~v84(constB162))))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19243, 126])).
% 13.94/10.04 tff(19245,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19246,plain,
% 13.94/10.04 (v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162))))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19245, 138])).
% 13.94/10.04 tff(19247,plain,
% 13.94/10.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB162)) <=> v1(constB162))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19248,plain,
% 13.94/10.04 ((~v39(constB162)) <=> v1(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19247, 147])).
% 13.94/10.04 tff(19249,plain,
% 13.94/10.04 (v1(constB162) <=> v1(constB162)),
% 13.94/10.04 inference(rewrite,[status(thm)],[])).
% 13.94/10.04 tff(19250,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162')).
% 13.94/10.04 tff(19251,plain,
% 13.94/10.04 (v1(constB162)),
% 13.94/10.04 inference(modus_ponens,[status(thm)],[19250, 19249])).
% 13.94/10.04 tff(19252,plain,
% 13.94/10.04 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162)) | (~v1(constB162))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19253,plain,
% 13.94/10.04 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19252, 19251])).
% 13.94/10.04 tff(19254,plain,
% 13.94/10.04 (~v39(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19253, 19248])).
% 13.94/10.04 tff(19255,plain,
% 13.94/10.04 (((~v39(constB162)) | (~v9(constB162))) | v39(constB162)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19256,plain,
% 13.94/10.04 ((~v39(constB162)) | (~v9(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19255, 19254])).
% 13.94/10.04 tff(19257,plain,
% 13.94/10.04 ((~(v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v184(constB162)) | (~((~v39(constB162)) | (~v9(constB162))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19258,plain,
% 13.94/10.04 ((~(v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v184(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19257, 19256])).
% 13.94/10.04 tff(19259,plain,
% 13.94/10.04 (~v184(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19258, 19246])).
% 13.94/10.04 tff(19260,plain,
% 13.94/10.04 (((~v184(constB162)) | (~v84(constB162))) | v184(constB162)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19261,plain,
% 13.94/10.04 ((~v184(constB162)) | (~v84(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19260, 19259])).
% 13.94/10.04 tff(19262,plain,
% 13.94/10.04 ((~(v200(constB162) <=> (~((~v184(constB162)) | (~v84(constB162)))))) | (~v200(constB162)) | (~((~v184(constB162)) | (~v84(constB162))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19263,plain,
% 13.94/10.04 ((~(v200(constB162) <=> (~((~v184(constB162)) | (~v84(constB162)))))) | (~v200(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19262, 19261])).
% 13.94/10.04 tff(19264,plain,
% 13.94/10.04 (~v200(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19263, 19244])).
% 13.94/10.04 tff(19265,plain,
% 13.94/10.04 (((~v186(constB162)) | (~v200(constB162))) | v200(constB162)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19266,plain,
% 13.94/10.04 ((~v186(constB162)) | (~v200(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19265, 19264])).
% 13.94/10.04 tff(19267,plain,
% 13.94/10.04 ((~(v199(constB162) <=> (~((~v186(constB162)) | (~v200(constB162)))))) | (~v199(constB162)) | (~((~v186(constB162)) | (~v200(constB162))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19268,plain,
% 13.94/10.04 (~v199(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19267, 19266, 19242])).
% 13.94/10.04 tff(19269,plain,
% 13.94/10.04 (((~v158(constB162)) | (~v199(constB162))) | v199(constB162)),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19270,plain,
% 13.94/10.04 ((~v158(constB162)) | (~v199(constB162))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19269, 19268])).
% 13.94/10.04 tff(19271,plain,
% 13.94/10.04 ((~(v198(constB162) <=> (~((~v158(constB162)) | (~v199(constB162)))))) | (~v198(constB162)) | (~((~v158(constB162)) | (~v199(constB162))))),
% 13.94/10.04 inference(tautology,[status(thm)],[])).
% 13.94/10.04 tff(19272,plain,
% 13.94/10.04 (~v198(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19271, 19270, 19240])).
% 13.94/10.04 tff(19273,plain,
% 13.94/10.04 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB162) <=> (~((~v182(constB162)) | (~v191(constB162)))))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19274,plain,
% 13.94/10.04 (v197(constB162) <=> (~((~v182(constB162)) | (~v191(constB162))))),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19273, 183])).
% 13.94/10.04 tff(19275,plain,
% 13.94/10.04 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB162) <=> v196(constB162))),
% 13.94/10.04 inference(quant_inst,[status(thm)],[])).
% 13.94/10.04 tff(19276,plain,
% 13.94/10.04 (v191(constB162) <=> v196(constB162)),
% 13.94/10.04 inference(unit_resolution,[status(thm)],[19275, 64])).
% 13.94/10.05 tff(19277,plain,
% 13.94/10.05 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19278,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161')).
% 13.94/10.05 tff(19279,plain,
% 13.94/10.05 (nextState(constB161, constB162)),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19278, 19277])).
% 13.94/10.05 tff(19280,plain,
% 13.94/10.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB161, constB162)) | (v196(constB162) <=> v194(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB161, constB162)) | (v196(constB162) <=> v194(constB161)))),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19281,plain,
% 13.94/10.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB161, constB162)) | (v196(constB162) <=> v194(constB161)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19282,plain,
% 13.94/10.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB161, constB162)) | (v196(constB162) <=> v194(constB161))),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 13.94/10.05 tff(19283,plain,
% 13.94/10.05 (v196(constB162) <=> v194(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19282, 19279, 76])).
% 13.94/10.05 tff(19284,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB161) <=> (v197(constB161) | v198(constB161)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19285,plain,
% 13.94/10.05 (v194(constB161) <=> (v197(constB161) | v198(constB161))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19284, 90])).
% 13.94/10.05 tff(19286,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB161) <=> (~((~v182(constB161)) | (~v191(constB161)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19287,plain,
% 13.94/10.05 (v197(constB161) <=> (~((~v182(constB161)) | (~v191(constB161))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19286, 183])).
% 13.94/10.05 tff(19288,plain,
% 13.94/10.05 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB161)) <=> v183(constB161))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19289,plain,
% 13.94/10.05 ((~v182(constB161)) <=> v183(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19288, 205])).
% 13.94/10.05 tff(19290,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB161) <=> (v184(constB161) | v26(constB161)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19291,plain,
% 13.94/10.05 (v183(constB161) <=> (v184(constB161) | v26(constB161))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19290, 214])).
% 13.94/10.05 tff(19292,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19293,plain,
% 13.94/10.05 (v184(constB161) <=> (~((~v39(constB161)) | (~v9(constB161))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19292, 138])).
% 13.94/10.05 tff(19294,plain,
% 13.94/10.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19295,plain,
% 13.94/10.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19296,plain,
% 13.94/10.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161))),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19295, 19294])).
% 13.94/10.05 tff(19297,plain,
% 13.94/10.05 (v13(constB162) <=> v9(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19296, 19279, 228])).
% 13.94/10.05 tff(19298,plain,
% 13.94/10.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB162) <=> v13(constB162))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19299,plain,
% 13.94/10.05 (v6(constB162) <=> v13(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19298, 242])).
% 13.94/10.05 tff(19300,plain,
% 13.94/10.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB162)) <=> v6(constB162))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19301,plain,
% 13.94/10.05 ((~v21(constB162)) <=> v6(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19300, 251])).
% 13.94/10.05 tff(19302,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB162) <=> (v20(constB162) | v21(constB162)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19303,plain,
% 13.94/10.05 (v19(constB162) <=> (v20(constB162) | v21(constB162))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19302, 260])).
% 13.94/10.05 tff(19304,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19305,plain,
% 13.94/10.05 (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19304, 272])).
% 13.94/10.05 tff(19306,plain,
% 13.94/10.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB162)) <=> v18(constB162))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19307,plain,
% 13.94/10.05 ((~v4(constB162)) <=> v18(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19306, 281])).
% 13.94/10.05 tff(19308,plain,
% 13.94/10.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB162)),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19309,plain,
% 13.94/10.05 (v4(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19308, 290])).
% 13.94/10.05 tff(19310,plain,
% 13.94/10.05 ((~((~v4(constB162)) <=> v18(constB162))) | (~v4(constB162)) | (~v18(constB162))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19311,plain,
% 13.94/10.05 (~v18(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19310, 19309, 19307])).
% 13.94/10.05 tff(19312,plain,
% 13.94/10.05 ((~(v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))) | v18(constB162) | ((~v19(constB162)) | (~v22(constB162)))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19313,plain,
% 13.94/10.05 ((~v19(constB162)) | (~v22(constB162))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19312, 19311, 19305])).
% 13.94/10.05 tff(19314,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB162) <=> (v1(constB162) | v6(constB162)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19315,plain,
% 13.94/10.05 (v22(constB162) <=> (v1(constB162) | v6(constB162))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19314, 303])).
% 13.94/10.05 tff(19316,plain,
% 13.94/10.05 ((v1(constB162) | v6(constB162)) | (~v1(constB162))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19317,plain,
% 13.94/10.05 (v1(constB162) | v6(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19316, 19251])).
% 13.94/10.05 tff(19318,plain,
% 13.94/10.05 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162) | (~(v1(constB162) | v6(constB162)))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19319,plain,
% 13.94/10.05 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19318, 19317])).
% 13.94/10.05 tff(19320,plain,
% 13.94/10.05 (v22(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19319, 19315])).
% 13.94/10.05 tff(19321,plain,
% 13.94/10.05 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162)) | (~v22(constB162))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19322,plain,
% 13.94/10.05 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19321, 19320])).
% 13.94/10.05 tff(19323,plain,
% 13.94/10.05 (~v19(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19322, 19313])).
% 13.94/10.05 tff(19324,plain,
% 13.94/10.05 ((~(v19(constB162) <=> (v20(constB162) | v21(constB162)))) | v19(constB162) | (~(v20(constB162) | v21(constB162)))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19325,plain,
% 13.94/10.05 (~(v20(constB162) | v21(constB162))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19324, 19323, 19303])).
% 13.94/10.05 tff(19326,plain,
% 13.94/10.05 ((v20(constB162) | v21(constB162)) | (~v21(constB162))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19327,plain,
% 13.94/10.05 (~v21(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19326, 19325])).
% 13.94/10.05 tff(19328,plain,
% 13.94/10.05 ((~((~v21(constB162)) <=> v6(constB162))) | v21(constB162) | v6(constB162)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19329,plain,
% 13.94/10.05 (v6(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19328, 19327, 19301])).
% 13.94/10.05 tff(19330,plain,
% 13.94/10.05 ((~(v6(constB162) <=> v13(constB162))) | (~v6(constB162)) | v13(constB162)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19331,plain,
% 13.94/10.05 (v13(constB162)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19330, 19329, 19299])).
% 13.94/10.05 tff(19332,plain,
% 13.94/10.05 ((~(v13(constB162) <=> v9(constB161))) | (~v13(constB162)) | v9(constB161)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19333,plain,
% 13.94/10.05 (v9(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19332, 19331, 19297])).
% 13.94/10.05 tff(19334,plain,
% 13.94/10.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB161)) <=> v1(constB161))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19335,plain,
% 13.94/10.05 ((~v39(constB161)) <=> v1(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19334, 147])).
% 13.94/10.05 tff(19336,plain,
% 13.94/10.05 ((~v1(constB161)) <=> (~v1(constB161))),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19337,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161')).
% 13.94/10.05 tff(19338,plain,
% 13.94/10.05 (~v1(constB161)),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 13.94/10.05 tff(19339,plain,
% 13.94/10.05 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161) | v1(constB161)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19340,plain,
% 13.94/10.05 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19339, 19338])).
% 13.94/10.05 tff(19341,plain,
% 13.94/10.05 (v39(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19340, 19335])).
% 13.94/10.05 tff(19342,plain,
% 13.94/10.05 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v39(constB161)) | (~v9(constB161))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19343,plain,
% 13.94/10.05 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v9(constB161))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19342, 19341])).
% 13.94/10.05 tff(19344,plain,
% 13.94/10.05 (~((~v39(constB161)) | (~v9(constB161)))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19343, 19333])).
% 13.94/10.05 tff(19345,plain,
% 13.94/10.05 ((~(v184(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))) | v184(constB161) | ((~v39(constB161)) | (~v9(constB161)))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19346,plain,
% 13.94/10.05 (v184(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19345, 19344, 19293])).
% 13.94/10.05 tff(19347,plain,
% 13.94/10.05 ((v184(constB161) | v26(constB161)) | (~v184(constB161))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19348,plain,
% 13.94/10.05 (v184(constB161) | v26(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19347, 19346])).
% 13.94/10.05 tff(19349,plain,
% 13.94/10.05 ((~(v183(constB161) <=> (v184(constB161) | v26(constB161)))) | v183(constB161) | (~(v184(constB161) | v26(constB161)))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19350,plain,
% 13.94/10.05 (v183(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19349, 19348, 19291])).
% 13.94/10.05 tff(19351,plain,
% 13.94/10.05 ((~((~v182(constB161)) <=> v183(constB161))) | (~v182(constB161)) | (~v183(constB161))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19352,plain,
% 13.94/10.05 (~v182(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19351, 19350, 19289])).
% 13.94/10.05 tff(19353,plain,
% 13.94/10.05 (((~v182(constB161)) | (~v191(constB161))) | v182(constB161)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19354,plain,
% 13.94/10.05 ((~v182(constB161)) | (~v191(constB161))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19353, 19352])).
% 13.94/10.05 tff(19355,plain,
% 13.94/10.05 ((~(v197(constB161) <=> (~((~v182(constB161)) | (~v191(constB161)))))) | (~v197(constB161)) | (~((~v182(constB161)) | (~v191(constB161))))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19356,plain,
% 13.94/10.05 (~v197(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19355, 19354, 19287])).
% 13.94/10.05 tff(19357,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB161) <=> (~((~v158(constB161)) | (~v199(constB161)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19358,plain,
% 13.94/10.05 (v198(constB161) <=> (~((~v158(constB161)) | (~v199(constB161))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19357, 102])).
% 13.94/10.05 tff(19359,plain,
% 13.94/10.05 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB161) <=> v180(constB161))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19360,plain,
% 13.94/10.05 (v158(constB161) <=> v180(constB161)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19359, 358])).
% 13.94/10.05 tff(19361,plain,
% 13.94/10.05 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19362,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160')).
% 13.94/10.05 tff(19363,plain,
% 13.94/10.05 (nextState(constB160, constB161)),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 13.94/10.05 tff(19364,plain,
% 13.94/10.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB160, constB161)) | (v180(constB161) <=> v178(constB160)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB160, constB161)) | (v180(constB161) <=> v178(constB160)))),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19365,plain,
% 13.94/10.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB160, constB161)) | (v180(constB161) <=> v178(constB160)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19366,plain,
% 13.94/10.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB160, constB161)) | (v180(constB161) <=> v178(constB160))),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19365, 19364])).
% 13.94/10.05 tff(19367,plain,
% 13.94/10.05 (v180(constB161) <=> v178(constB160)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19366, 19363, 370])).
% 13.94/10.05 tff(19368,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB160) <=> (v181(constB160) | v185(constB160)))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19369,plain,
% 13.94/10.05 (v178(constB160) <=> (v181(constB160) | v185(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19368, 384])).
% 13.94/10.05 tff(19370,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB160) <=> (~((~v186(constB160)) | (~v187(constB160)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19371,plain,
% 13.94/10.05 (v185(constB160) <=> (~((~v186(constB160)) | (~v187(constB160))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19370, 396])).
% 13.94/10.05 tff(19372,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB160) <=> (~((~v184(constB160)) | (~v160(constB160)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19373,plain,
% 13.94/10.05 (v187(constB160) <=> (~((~v184(constB160)) | (~v160(constB160))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19372, 408])).
% 13.94/10.05 tff(19374,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19375,plain,
% 13.94/10.05 (v184(constB160) <=> (~((~v39(constB160)) | (~v9(constB160))))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19374, 138])).
% 13.94/10.05 tff(19376,plain,
% 13.94/10.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB160)) <=> v1(constB160))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19377,plain,
% 13.94/10.05 ((~v39(constB160)) <=> v1(constB160)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19376, 147])).
% 13.94/10.05 tff(19378,plain,
% 13.94/10.05 (v1(constB160) <=> v1(constB160)),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19379,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160')).
% 13.94/10.05 tff(19380,plain,
% 13.94/10.05 (v1(constB160)),
% 13.94/10.05 inference(modus_ponens,[status(thm)],[19379, 19378])).
% 13.94/10.05 tff(19381,plain,
% 13.94/10.05 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160)) | (~v1(constB160))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19382,plain,
% 13.94/10.05 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19381, 19380])).
% 13.94/10.05 tff(19383,plain,
% 13.94/10.05 (~v39(constB160)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19382, 19377])).
% 13.94/10.05 tff(19384,plain,
% 13.94/10.05 (((~v39(constB160)) | (~v9(constB160))) | v39(constB160)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19385,plain,
% 13.94/10.05 ((~v39(constB160)) | (~v9(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19384, 19383])).
% 13.94/10.05 tff(19386,plain,
% 13.94/10.05 ((~(v184(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v184(constB160)) | (~((~v39(constB160)) | (~v9(constB160))))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19387,plain,
% 13.94/10.05 ((~(v184(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v184(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19386, 19385])).
% 13.94/10.05 tff(19388,plain,
% 13.94/10.05 (~v184(constB160)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19387, 19375])).
% 13.94/10.05 tff(19389,plain,
% 13.94/10.05 (((~v184(constB160)) | (~v160(constB160))) | v184(constB160)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19390,plain,
% 13.94/10.05 ((~v184(constB160)) | (~v160(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19389, 19388])).
% 13.94/10.05 tff(19391,plain,
% 13.94/10.05 ((~(v187(constB160) <=> (~((~v184(constB160)) | (~v160(constB160)))))) | (~v187(constB160)) | (~((~v184(constB160)) | (~v160(constB160))))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19392,plain,
% 13.94/10.05 ((~(v187(constB160) <=> (~((~v184(constB160)) | (~v160(constB160)))))) | (~v187(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19391, 19390])).
% 13.94/10.05 tff(19393,plain,
% 13.94/10.05 (~v187(constB160)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19392, 19373])).
% 13.94/10.05 tff(19394,plain,
% 13.94/10.05 (((~v186(constB160)) | (~v187(constB160))) | v187(constB160)),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19395,plain,
% 13.94/10.05 ((~v186(constB160)) | (~v187(constB160))),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19394, 19393])).
% 13.94/10.05 tff(19396,plain,
% 13.94/10.05 ((~(v185(constB160) <=> (~((~v186(constB160)) | (~v187(constB160)))))) | (~v185(constB160)) | (~((~v186(constB160)) | (~v187(constB160))))),
% 13.94/10.05 inference(tautology,[status(thm)],[])).
% 13.94/10.05 tff(19397,plain,
% 13.94/10.05 (~v185(constB160)),
% 13.94/10.05 inference(unit_resolution,[status(thm)],[19396, 19395, 19371])).
% 13.94/10.05 tff(19398,plain,
% 13.94/10.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160))))))),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19399,plain,
% 13.94/10.05 ((v181(constB160) <=> (~((~v182(constB160)) | (~v158(constB160))))) <=> (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160)))))),
% 13.94/10.05 inference(rewrite,[status(thm)],[])).
% 13.94/10.05 tff(19400,plain,
% 13.94/10.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v182(constB160)) | (~v158(constB160)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160))))))),
% 13.94/10.05 inference(monotonicity,[status(thm)],[19399])).
% 13.94/10.05 tff(19401,plain,
% 13.94/10.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v182(constB160)) | (~v158(constB160)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160))))))),
% 13.94/10.05 inference(transitivity,[status(thm)],[19400, 19398])).
% 13.94/10.05 tff(19402,plain,
% 13.94/10.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v182(constB160)) | (~v158(constB160)))))),
% 13.94/10.05 inference(quant_inst,[status(thm)],[])).
% 13.94/10.05 tff(19403,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160)))))),
% 13.94/10.06 inference(modus_ponens,[status(thm)],[19402, 19401])).
% 13.94/10.06 tff(19404,plain,
% 13.94/10.06 (v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160))))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19403, 444])).
% 13.94/10.06 tff(19405,plain,
% 13.94/10.06 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB160) <=> v180(constB160))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19406,plain,
% 13.94/10.06 (v158(constB160) <=> v180(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19405, 358])).
% 13.94/10.06 tff(19407,plain,
% 13.94/10.06 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 13.94/10.06 inference(rewrite,[status(thm)],[])).
% 13.94/10.06 tff(19408,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159')).
% 13.94/10.06 tff(19409,plain,
% 13.94/10.06 (nextState(constB159, constB160)),
% 13.94/10.06 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 13.94/10.06 tff(19410,plain,
% 13.94/10.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB159, constB160)) | (v180(constB160) <=> v178(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB159, constB160)) | (v180(constB160) <=> v178(constB159)))),
% 13.94/10.06 inference(rewrite,[status(thm)],[])).
% 13.94/10.06 tff(19411,plain,
% 13.94/10.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB159, constB160)) | (v180(constB160) <=> v178(constB159)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19412,plain,
% 13.94/10.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB159, constB160)) | (v180(constB160) <=> v178(constB159))),
% 13.94/10.06 inference(modus_ponens,[status(thm)],[19411, 19410])).
% 13.94/10.06 tff(19413,plain,
% 13.94/10.06 (v180(constB160) <=> v178(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19412, 19409, 370])).
% 13.94/10.06 tff(19414,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB159) <=> (v181(constB159) | v185(constB159)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19415,plain,
% 13.94/10.06 (v178(constB159) <=> (v181(constB159) | v185(constB159))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19414, 384])).
% 13.94/10.06 tff(19416,plain,
% 13.94/10.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159))))))),
% 13.94/10.06 inference(rewrite,[status(thm)],[])).
% 13.94/10.06 tff(19417,plain,
% 13.94/10.06 ((v181(constB159) <=> (~((~v182(constB159)) | (~v158(constB159))))) <=> (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159)))))),
% 13.94/10.06 inference(rewrite,[status(thm)],[])).
% 13.94/10.06 tff(19418,plain,
% 13.94/10.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v182(constB159)) | (~v158(constB159)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159))))))),
% 13.94/10.06 inference(monotonicity,[status(thm)],[19417])).
% 13.94/10.06 tff(19419,plain,
% 13.94/10.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v182(constB159)) | (~v158(constB159)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159))))))),
% 13.94/10.06 inference(transitivity,[status(thm)],[19418, 19416])).
% 13.94/10.06 tff(19420,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v182(constB159)) | (~v158(constB159)))))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19421,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159)))))),
% 13.94/10.06 inference(modus_ponens,[status(thm)],[19420, 19419])).
% 13.94/10.06 tff(19422,plain,
% 13.94/10.06 (v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159))))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19421, 444])).
% 13.94/10.06 tff(19423,plain,
% 13.94/10.06 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB159)) <=> v183(constB159))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19424,plain,
% 13.94/10.06 ((~v182(constB159)) <=> v183(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19423, 205])).
% 13.94/10.06 tff(19425,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB159) <=> (v184(constB159) | v26(constB159)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19426,plain,
% 13.94/10.06 (v183(constB159) <=> (v184(constB159) | v26(constB159))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19425, 214])).
% 13.94/10.06 tff(19427,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19428,plain,
% 13.94/10.06 (v184(constB159) <=> (~((~v39(constB159)) | (~v9(constB159))))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19427, 138])).
% 13.94/10.06 tff(19429,plain,
% 13.94/10.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 13.94/10.06 inference(rewrite,[status(thm)],[])).
% 13.94/10.06 tff(19430,plain,
% 13.94/10.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19431,plain,
% 13.94/10.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159))),
% 13.94/10.06 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 13.94/10.06 tff(19432,plain,
% 13.94/10.06 (v13(constB160) <=> v9(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19431, 19409, 228])).
% 13.94/10.06 tff(19433,plain,
% 13.94/10.06 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB160) <=> v13(constB160))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19434,plain,
% 13.94/10.06 (v6(constB160) <=> v13(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19433, 242])).
% 13.94/10.06 tff(19435,plain,
% 13.94/10.06 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB160)) <=> v6(constB160))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19436,plain,
% 13.94/10.06 ((~v21(constB160)) <=> v6(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19435, 251])).
% 13.94/10.06 tff(19437,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB160) <=> (v20(constB160) | v21(constB160)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19438,plain,
% 13.94/10.06 (v19(constB160) <=> (v20(constB160) | v21(constB160))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19437, 260])).
% 13.94/10.06 tff(19439,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19440,plain,
% 13.94/10.06 (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160))))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19439, 272])).
% 13.94/10.06 tff(19441,plain,
% 13.94/10.06 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB160)) <=> v18(constB160))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19442,plain,
% 13.94/10.06 ((~v4(constB160)) <=> v18(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19441, 281])).
% 13.94/10.06 tff(19443,plain,
% 13.94/10.06 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB160)),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19444,plain,
% 13.94/10.06 (v4(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19443, 290])).
% 13.94/10.06 tff(19445,plain,
% 13.94/10.06 ((~((~v4(constB160)) <=> v18(constB160))) | (~v4(constB160)) | (~v18(constB160))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19446,plain,
% 13.94/10.06 (~v18(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19445, 19444, 19442])).
% 13.94/10.06 tff(19447,plain,
% 13.94/10.06 ((~(v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))) | v18(constB160) | ((~v19(constB160)) | (~v22(constB160)))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19448,plain,
% 13.94/10.06 ((~v19(constB160)) | (~v22(constB160))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19447, 19446, 19440])).
% 13.94/10.06 tff(19449,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB160) <=> (v1(constB160) | v6(constB160)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19450,plain,
% 13.94/10.06 (v22(constB160) <=> (v1(constB160) | v6(constB160))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19449, 303])).
% 13.94/10.06 tff(19451,plain,
% 13.94/10.06 ((v1(constB160) | v6(constB160)) | (~v1(constB160))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19452,plain,
% 13.94/10.06 (v1(constB160) | v6(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19451, 19380])).
% 13.94/10.06 tff(19453,plain,
% 13.94/10.06 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160) | (~(v1(constB160) | v6(constB160)))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19454,plain,
% 13.94/10.06 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19453, 19452])).
% 13.94/10.06 tff(19455,plain,
% 13.94/10.06 (v22(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19454, 19450])).
% 13.94/10.06 tff(19456,plain,
% 13.94/10.06 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160)) | (~v22(constB160))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19457,plain,
% 13.94/10.06 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19456, 19455])).
% 13.94/10.06 tff(19458,plain,
% 13.94/10.06 (~v19(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19457, 19448])).
% 13.94/10.06 tff(19459,plain,
% 13.94/10.06 ((~(v19(constB160) <=> (v20(constB160) | v21(constB160)))) | v19(constB160) | (~(v20(constB160) | v21(constB160)))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19460,plain,
% 13.94/10.06 (~(v20(constB160) | v21(constB160))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19459, 19458, 19438])).
% 13.94/10.06 tff(19461,plain,
% 13.94/10.06 ((v20(constB160) | v21(constB160)) | (~v21(constB160))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19462,plain,
% 13.94/10.06 (~v21(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19461, 19460])).
% 13.94/10.06 tff(19463,plain,
% 13.94/10.06 ((~((~v21(constB160)) <=> v6(constB160))) | v21(constB160) | v6(constB160)),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19464,plain,
% 13.94/10.06 (v6(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19463, 19462, 19436])).
% 13.94/10.06 tff(19465,plain,
% 13.94/10.06 ((~(v6(constB160) <=> v13(constB160))) | (~v6(constB160)) | v13(constB160)),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19466,plain,
% 13.94/10.06 (v13(constB160)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19465, 19464, 19434])).
% 13.94/10.06 tff(19467,plain,
% 13.94/10.06 ((~(v13(constB160) <=> v9(constB159))) | (~v13(constB160)) | v9(constB159)),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19468,plain,
% 13.94/10.06 (v9(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19467, 19466, 19432])).
% 13.94/10.06 tff(19469,plain,
% 13.94/10.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB159)) <=> v1(constB159))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19470,plain,
% 13.94/10.06 ((~v39(constB159)) <=> v1(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19469, 147])).
% 13.94/10.06 tff(19471,plain,
% 13.94/10.06 ((~v1(constB159)) <=> (~v1(constB159))),
% 13.94/10.06 inference(rewrite,[status(thm)],[])).
% 13.94/10.06 tff(19472,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159')).
% 13.94/10.06 tff(19473,plain,
% 13.94/10.06 (~v1(constB159)),
% 13.94/10.06 inference(modus_ponens,[status(thm)],[19472, 19471])).
% 13.94/10.06 tff(19474,plain,
% 13.94/10.06 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159) | v1(constB159)),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19475,plain,
% 13.94/10.06 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19474, 19473])).
% 13.94/10.06 tff(19476,plain,
% 13.94/10.06 (v39(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19475, 19470])).
% 13.94/10.06 tff(19477,plain,
% 13.94/10.06 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v39(constB159)) | (~v9(constB159))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19478,plain,
% 13.94/10.06 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v9(constB159))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19477, 19476])).
% 13.94/10.06 tff(19479,plain,
% 13.94/10.06 (~((~v39(constB159)) | (~v9(constB159)))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19478, 19468])).
% 13.94/10.06 tff(19480,plain,
% 13.94/10.06 ((~(v184(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))) | v184(constB159) | ((~v39(constB159)) | (~v9(constB159)))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19481,plain,
% 13.94/10.06 (v184(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19480, 19479, 19428])).
% 13.94/10.06 tff(19482,plain,
% 13.94/10.06 ((v184(constB159) | v26(constB159)) | (~v184(constB159))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19483,plain,
% 13.94/10.06 (v184(constB159) | v26(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19482, 19481])).
% 13.94/10.06 tff(19484,plain,
% 13.94/10.06 ((~(v183(constB159) <=> (v184(constB159) | v26(constB159)))) | v183(constB159) | (~(v184(constB159) | v26(constB159)))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19485,plain,
% 13.94/10.06 (v183(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19484, 19483, 19426])).
% 13.94/10.06 tff(19486,plain,
% 13.94/10.06 ((~((~v182(constB159)) <=> v183(constB159))) | (~v182(constB159)) | (~v183(constB159))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19487,plain,
% 13.94/10.06 (~v182(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19486, 19485, 19424])).
% 13.94/10.06 tff(19488,plain,
% 13.94/10.06 (((~v158(constB159)) | (~v182(constB159))) | v182(constB159)),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19489,plain,
% 13.94/10.06 ((~v158(constB159)) | (~v182(constB159))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19488, 19487])).
% 13.94/10.06 tff(19490,plain,
% 13.94/10.06 ((~(v181(constB159) <=> (~((~v158(constB159)) | (~v182(constB159)))))) | (~v181(constB159)) | (~((~v158(constB159)) | (~v182(constB159))))),
% 13.94/10.06 inference(tautology,[status(thm)],[])).
% 13.94/10.06 tff(19491,plain,
% 13.94/10.06 (~v181(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19490, 19489, 19422])).
% 13.94/10.06 tff(19492,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB159) <=> (~((~v186(constB159)) | (~v187(constB159)))))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19493,plain,
% 13.94/10.06 (v185(constB159) <=> (~((~v186(constB159)) | (~v187(constB159))))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19492, 396])).
% 13.94/10.06 tff(19494,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB159) <=> (~((~v184(constB159)) | (~v160(constB159)))))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19495,plain,
% 13.94/10.06 (v187(constB159) <=> (~((~v184(constB159)) | (~v160(constB159))))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19494, 408])).
% 13.94/10.06 tff(19496,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB159) <=> v162(constB159))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19497,plain,
% 13.94/10.06 (v160(constB159) <=> v162(constB159)),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19496, 549])).
% 13.94/10.06 tff(19498,plain,
% 13.94/10.06 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB159) <=> (v139(constB159) | v140(constB159)))),
% 13.94/10.06 inference(quant_inst,[status(thm)],[])).
% 13.94/10.06 tff(19499,plain,
% 13.94/10.06 (v170(constB159) <=> (v139(constB159) | v140(constB159))),
% 13.94/10.06 inference(unit_resolution,[status(thm)],[19498, 2216])).
% 13.94/10.06 tff(19500,plain,
% 13.94/10.06 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0))))))),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19501,plain,
% 13.94/10.07 ((v140(constB159) <=> (~(v88(constB159, bitIndex1) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex0))))) <=> (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))))),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19502,plain,
% 13.94/10.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex1) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0))))))),
% 13.94/10.07 inference(monotonicity,[status(thm)],[19501])).
% 13.94/10.07 tff(19503,plain,
% 13.94/10.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex1) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0))))))),
% 13.94/10.07 inference(transitivity,[status(thm)],[19502, 19500])).
% 13.94/10.07 tff(19504,plain,
% 13.94/10.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex1) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex0)))))),
% 13.94/10.07 inference(quant_inst,[status(thm)],[])).
% 13.94/10.07 tff(19505,plain,
% 13.94/10.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))))),
% 13.94/10.07 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 13.94/10.07 tff(19506,plain,
% 13.94/10.07 (v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0))))),
% 13.94/10.07 inference(unit_resolution,[status(thm)],[19505, 2250])).
% 13.94/10.07 tff(19507,plain,
% 13.94/10.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)))),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19508,plain,
% 13.94/10.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)))),
% 13.94/10.07 inference(quant_inst,[status(thm)],[])).
% 13.94/10.07 tff(19509,plain,
% 13.94/10.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2))),
% 13.94/10.07 inference(modus_ponens,[status(thm)],[19508, 19507])).
% 13.94/10.07 tff(19510,plain,
% 13.94/10.07 (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)),
% 13.94/10.07 inference(unit_resolution,[status(thm)],[19509, 579, 576])).
% 13.94/10.07 tff(19511,plain,
% 13.94/10.07 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19512,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158')).
% 13.94/10.07 tff(19513,plain,
% 13.94/10.07 (nextState(constB158, constB159)),
% 13.94/10.07 inference(modus_ponens,[status(thm)],[19512, 19511])).
% 13.94/10.07 tff(19514,plain,
% 13.94/10.07 (((~![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))))))),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19515,plain,
% 13.94/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 13.94/10.07 inference(quant_inst,[status(thm)],[])).
% 13.94/10.07 tff(19516,plain,
% 13.94/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))),
% 13.94/10.07 inference(modus_ponens,[status(thm)],[19515, 19514])).
% 13.94/10.07 tff(19517,plain,
% 13.94/10.07 (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))),
% 13.94/10.07 inference(unit_resolution,[status(thm)],[19516, 19513, 596])).
% 13.94/10.07 tff(19518,plain,
% 13.94/10.07 (((~![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))))))),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19519,plain,
% 13.94/10.07 (((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 13.94/10.07 inference(rewrite,[status(thm)],[])).
% 13.94/10.07 tff(19520,plain,
% 13.94/10.07 (((~![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)))))))),
% 13.94/10.07 inference(monotonicity,[status(thm)],[19519])).
% 13.94/10.07 tff(19521,plain,
% 13.94/10.07 (((~![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))))))),
% 13.94/10.07 inference(transitivity,[status(thm)],[19520, 19518])).
% 13.94/10.07 tff(19522,plain,
% 13.94/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))),
% 13.94/10.07 inference(quant_inst,[status(thm)],[])).
% 13.94/10.07 tff(19523,plain,
% 13.94/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))),
% 13.94/10.07 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 13.94/10.07 tff(19524,plain,
% 13.94/10.07 (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))),
% 13.94/10.07 inference(unit_resolution,[status(thm)],[19523, 19513, 616])).
% 13.94/10.07 tff(19525,plain,
% 13.94/10.07 (((~v1(constB159)) | (~v102(constB159))) | v1(constB159)),
% 13.94/10.07 inference(tautology,[status(thm)],[])).
% 13.94/10.07 tff(19526,plain,
% 13.94/10.07 ((~v1(constB159)) | (~v102(constB159))),
% 13.94/10.07 inference(unit_resolution,[status(thm)],[19525, 19473])).
% 13.94/10.07 tff(19527,plain,
% 13.94/10.07 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159)) | (~((~v1(constB159)) | (~v102(constB159))))),
% 13.94/10.07 inference(tautology,[status(thm)],[])).
% 13.94/10.07 tff(19528,plain,
% 14.02/10.07 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159))),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19527, 19526])).
% 14.02/10.07 tff(19529,plain,
% 14.02/10.07 (~v101(constB159)),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19528, 19524])).
% 14.02/10.07 tff(19530,plain,
% 14.02/10.07 (((~v101(constB159)) | (~v110(constB159))) | v101(constB159)),
% 14.02/10.07 inference(tautology,[status(thm)],[])).
% 14.02/10.07 tff(19531,plain,
% 14.02/10.07 ((~v101(constB159)) | (~v110(constB159))),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19530, 19529])).
% 14.02/10.07 tff(19532,plain,
% 14.02/10.07 ((~(v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))) | (~v100(constB159)) | (~((~v101(constB159)) | (~v110(constB159))))),
% 14.02/10.07 inference(tautology,[status(thm)],[])).
% 14.02/10.07 tff(19533,plain,
% 14.02/10.07 (~v100(constB159)),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19532, 19531, 19517])).
% 14.02/10.07 tff(19534,plain,
% 14.02/10.07 (((~![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))))),
% 14.02/10.07 inference(rewrite,[status(thm)],[])).
% 14.02/10.07 tff(19535,plain,
% 14.02/10.07 ((~![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))))),
% 14.02/10.07 inference(quant_inst,[status(thm)],[])).
% 14.02/10.07 tff(19536,plain,
% 14.02/10.07 ((~![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)))),
% 14.02/10.07 inference(modus_ponens,[status(thm)],[19535, 19534])).
% 14.02/10.07 tff(19537,plain,
% 14.02/10.07 (v100(constB159) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19536, 19513, 645])).
% 14.02/10.07 tff(19538,plain,
% 14.02/10.07 (![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19537, 19533])).
% 14.02/10.07 tff(19539,plain,
% 14.02/10.07 (((~![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)))),
% 14.02/10.07 inference(rewrite,[status(thm)],[])).
% 14.02/10.07 tff(19540,plain,
% 14.02/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))),
% 14.02/10.07 inference(quant_inst,[status(thm)],[])).
% 14.02/10.07 tff(19541,plain,
% 14.02/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2))),
% 14.02/10.07 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 14.02/10.07 tff(19542,plain,
% 14.02/10.07 (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19541, 579, 19538])).
% 14.02/10.07 tff(19543,plain,
% 14.02/10.07 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 14.02/10.07 inference(rewrite,[status(thm)],[])).
% 14.02/10.07 tff(19544,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157')).
% 14.02/10.07 tff(19545,plain,
% 14.02/10.07 (nextState(constB157, constB158)),
% 14.02/10.07 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 14.02/10.07 tff(19546,plain,
% 14.02/10.07 (((~![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))))))),
% 14.02/10.07 inference(rewrite,[status(thm)],[])).
% 14.02/10.07 tff(19547,plain,
% 14.02/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 14.02/10.07 inference(quant_inst,[status(thm)],[])).
% 14.02/10.07 tff(19548,plain,
% 14.02/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))),
% 14.02/10.07 inference(modus_ponens,[status(thm)],[19547, 19546])).
% 14.02/10.07 tff(19549,plain,
% 14.02/10.07 (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19548, 19545, 596])).
% 14.02/10.07 tff(19550,plain,
% 14.02/10.07 (((~![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))))))),
% 14.02/10.07 inference(rewrite,[status(thm)],[])).
% 14.02/10.07 tff(19551,plain,
% 14.02/10.07 (((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 14.02/10.07 inference(rewrite,[status(thm)],[])).
% 14.02/10.07 tff(19552,plain,
% 14.02/10.07 (((~![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)))))))),
% 14.02/10.07 inference(monotonicity,[status(thm)],[19551])).
% 14.02/10.07 tff(19553,plain,
% 14.02/10.07 (((~![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))))))),
% 14.02/10.07 inference(transitivity,[status(thm)],[19552, 19550])).
% 14.02/10.07 tff(19554,plain,
% 14.02/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))),
% 14.02/10.07 inference(quant_inst,[status(thm)],[])).
% 14.02/10.07 tff(19555,plain,
% 14.02/10.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))),
% 14.02/10.07 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 14.02/10.07 tff(19556,plain,
% 14.02/10.07 (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))),
% 14.02/10.07 inference(unit_resolution,[status(thm)],[19555, 19545, 616])).
% 14.02/10.07 tff(19557,plain,
% 14.02/10.07 (((~![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)))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19558,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19559,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19558, 19557])).
% 14.02/10.08 tff(19560,plain,
% 14.02/10.08 ((~v102(constB158)) <=> v104(constB158)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19559, 19545, 678])).
% 14.02/10.08 tff(19561,plain,
% 14.02/10.08 (((~![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)))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19562,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19563,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 14.02/10.08 tff(19564,plain,
% 14.02/10.08 (v104(constB158) <=> v1(constB157)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19563, 19545, 692])).
% 14.02/10.08 tff(19565,plain,
% 14.02/10.08 ((~v1(constB157)) <=> (~v1(constB157))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19566,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157')).
% 14.02/10.08 tff(19567,plain,
% 14.02/10.08 (~v1(constB157)),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19566, 19565])).
% 14.02/10.08 tff(19568,plain,
% 14.02/10.08 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158)) | v1(constB157)),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19569,plain,
% 14.02/10.08 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19568, 19567])).
% 14.02/10.08 tff(19570,plain,
% 14.02/10.08 (~v104(constB158)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19569, 19564])).
% 14.02/10.08 tff(19571,plain,
% 14.02/10.08 ((~((~v102(constB158)) <=> v104(constB158))) | v102(constB158) | v104(constB158)),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19572,plain,
% 14.02/10.08 (v102(constB158)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19571, 19570, 19560])).
% 14.02/10.08 tff(19573,plain,
% 14.02/10.08 (v1(constB158) <=> v1(constB158)),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19574,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158')).
% 14.02/10.08 tff(19575,plain,
% 14.02/10.08 (v1(constB158)),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 14.02/10.08 tff(19576,plain,
% 14.02/10.08 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v1(constB158)) | (~v102(constB158))),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19577,plain,
% 14.02/10.08 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v102(constB158))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19576, 19575])).
% 14.02/10.08 tff(19578,plain,
% 14.02/10.08 (~((~v1(constB158)) | (~v102(constB158)))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19577, 19572])).
% 14.02/10.08 tff(19579,plain,
% 14.02/10.08 ((~(v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))) | v101(constB158) | ((~v1(constB158)) | (~v102(constB158)))),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19580,plain,
% 14.02/10.08 (v101(constB158)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19579, 19578, 19556])).
% 14.02/10.08 tff(19581,plain,
% 14.02/10.08 (((~![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)))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19582,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19583,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 14.02/10.08 tff(19584,plain,
% 14.02/10.08 (v110(constB158) <=> v108(constB157)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19583, 19545, 722])).
% 14.02/10.08 tff(19585,plain,
% 14.02/10.08 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB157) <=> (v111(constB157) | v112(constB157)))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19586,plain,
% 14.02/10.08 (v108(constB157) <=> (v111(constB157) | v112(constB157))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19585, 733])).
% 14.02/10.08 tff(19587,plain,
% 14.02/10.08 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19588,plain,
% 14.02/10.08 (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157))))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19587, 745])).
% 14.02/10.08 tff(19589,plain,
% 14.02/10.08 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB157) <=> (v114(constB157) | v125(constB157)))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19590,plain,
% 14.02/10.08 (v113(constB157) <=> (v114(constB157) | v125(constB157))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19589, 754])).
% 14.02/10.08 tff(19591,plain,
% 14.02/10.08 (((~![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)))))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19592,plain,
% 14.02/10.08 ((v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2))))) <=> (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19593,plain,
% 14.02/10.08 (((~![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)))))),
% 14.02/10.08 inference(monotonicity,[status(thm)],[19592])).
% 14.02/10.08 tff(19594,plain,
% 14.02/10.08 (((~![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)))))),
% 14.02/10.08 inference(transitivity,[status(thm)],[19593, 19591])).
% 14.02/10.08 tff(19595,plain,
% 14.02/10.08 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19596,plain,
% 14.02/10.08 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19595, 19594])).
% 14.02/10.08 tff(19597,plain,
% 14.02/10.08 (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19596, 3458])).
% 14.02/10.08 tff(19598,plain,
% 14.02/10.08 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19599,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156')).
% 14.02/10.08 tff(19600,plain,
% 14.02/10.08 (nextState(constB156, constB157)),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19599, 19598])).
% 14.02/10.08 tff(19601,plain,
% 14.02/10.08 (((~![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))))))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19602,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19603,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19602, 19601])).
% 14.02/10.08 tff(19604,plain,
% 14.02/10.08 (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19603, 19600, 596])).
% 14.02/10.08 tff(19605,plain,
% 14.02/10.08 (((~![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))))))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19606,plain,
% 14.02/10.08 (((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19607,plain,
% 14.02/10.08 (((~![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)))))))),
% 14.02/10.08 inference(monotonicity,[status(thm)],[19606])).
% 14.02/10.08 tff(19608,plain,
% 14.02/10.08 (((~![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))))))),
% 14.02/10.08 inference(transitivity,[status(thm)],[19607, 19605])).
% 14.02/10.08 tff(19609,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19610,plain,
% 14.02/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 14.02/10.08 tff(19611,plain,
% 14.02/10.08 (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19610, 19600, 616])).
% 14.02/10.08 tff(19612,plain,
% 14.02/10.08 (((~v1(constB157)) | (~v102(constB157))) | v1(constB157)),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19613,plain,
% 14.02/10.08 ((~v1(constB157)) | (~v102(constB157))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19612, 19567])).
% 14.02/10.08 tff(19614,plain,
% 14.02/10.08 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157)) | (~((~v1(constB157)) | (~v102(constB157))))),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19615,plain,
% 14.02/10.08 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19614, 19613])).
% 14.02/10.08 tff(19616,plain,
% 14.02/10.08 (~v101(constB157)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19615, 19611])).
% 14.02/10.08 tff(19617,plain,
% 14.02/10.08 (((~v101(constB157)) | (~v110(constB157))) | v101(constB157)),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19618,plain,
% 14.02/10.08 ((~v101(constB157)) | (~v110(constB157))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19617, 19616])).
% 14.02/10.08 tff(19619,plain,
% 14.02/10.08 ((~(v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))) | (~v100(constB157)) | (~((~v101(constB157)) | (~v110(constB157))))),
% 14.02/10.08 inference(tautology,[status(thm)],[])).
% 14.02/10.08 tff(19620,plain,
% 14.02/10.08 (~v100(constB157)),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19619, 19618, 19604])).
% 14.02/10.08 tff(19621,plain,
% 14.02/10.08 (((~![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))))),
% 14.02/10.08 inference(rewrite,[status(thm)],[])).
% 14.02/10.08 tff(19622,plain,
% 14.02/10.08 ((~![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))))),
% 14.02/10.08 inference(quant_inst,[status(thm)],[])).
% 14.02/10.08 tff(19623,plain,
% 14.02/10.08 ((~![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)))),
% 14.02/10.08 inference(modus_ponens,[status(thm)],[19622, 19621])).
% 14.02/10.08 tff(19624,plain,
% 14.02/10.08 (v100(constB157) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19623, 19600, 645])).
% 14.02/10.08 tff(19625,plain,
% 14.02/10.08 (![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 14.02/10.08 inference(unit_resolution,[status(thm)],[19624, 19620])).
% 14.02/10.08 tff(19626,plain,
% 14.02/10.08 (((~![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)))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19627,plain,
% 14.02/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19628,plain,
% 14.02/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19627, 19626])).
% 14.02/10.09 tff(19629,plain,
% 14.02/10.09 (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19628, 579, 19625])).
% 14.02/10.09 tff(19630,plain,
% 14.02/10.09 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19631,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155')).
% 14.02/10.09 tff(19632,plain,
% 14.02/10.09 (nextState(constB155, constB156)),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 14.02/10.09 tff(19633,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19634,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19635,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19634, 19633])).
% 14.02/10.09 tff(19636,plain,
% 14.02/10.09 (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19635, 19632, 596])).
% 14.02/10.09 tff(19637,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19638,plain,
% 14.02/10.09 (((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19639,plain,
% 14.02/10.09 (((~![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)))))))),
% 14.02/10.09 inference(monotonicity,[status(thm)],[19638])).
% 14.02/10.09 tff(19640,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(transitivity,[status(thm)],[19639, 19637])).
% 14.02/10.09 tff(19641,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19642,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19641, 19640])).
% 14.02/10.09 tff(19643,plain,
% 14.02/10.09 (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19642, 19632, 616])).
% 14.02/10.09 tff(19644,plain,
% 14.02/10.09 (((~![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)))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19645,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19646,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 14.02/10.09 tff(19647,plain,
% 14.02/10.09 ((~v102(constB156)) <=> v104(constB156)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19646, 19632, 678])).
% 14.02/10.09 tff(19648,plain,
% 14.02/10.09 (((~![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)))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19649,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19650,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19649, 19648])).
% 14.02/10.09 tff(19651,plain,
% 14.02/10.09 (v104(constB156) <=> v1(constB155)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19650, 19632, 692])).
% 14.02/10.09 tff(19652,plain,
% 14.02/10.09 ((~v1(constB155)) <=> (~v1(constB155))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19653,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155')).
% 14.02/10.09 tff(19654,plain,
% 14.02/10.09 (~v1(constB155)),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19653, 19652])).
% 14.02/10.09 tff(19655,plain,
% 14.02/10.09 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156)) | v1(constB155)),
% 14.02/10.09 inference(tautology,[status(thm)],[])).
% 14.02/10.09 tff(19656,plain,
% 14.02/10.09 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19655, 19654])).
% 14.02/10.09 tff(19657,plain,
% 14.02/10.09 (~v104(constB156)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19656, 19651])).
% 14.02/10.09 tff(19658,plain,
% 14.02/10.09 ((~((~v102(constB156)) <=> v104(constB156))) | v102(constB156) | v104(constB156)),
% 14.02/10.09 inference(tautology,[status(thm)],[])).
% 14.02/10.09 tff(19659,plain,
% 14.02/10.09 (v102(constB156)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19658, 19657, 19647])).
% 14.02/10.09 tff(19660,plain,
% 14.02/10.09 (v1(constB156) <=> v1(constB156)),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19661,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156')).
% 14.02/10.09 tff(19662,plain,
% 14.02/10.09 (v1(constB156)),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19661, 19660])).
% 14.02/10.09 tff(19663,plain,
% 14.02/10.09 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v1(constB156)) | (~v102(constB156))),
% 14.02/10.09 inference(tautology,[status(thm)],[])).
% 14.02/10.09 tff(19664,plain,
% 14.02/10.09 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v102(constB156))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19663, 19662])).
% 14.02/10.09 tff(19665,plain,
% 14.02/10.09 (~((~v1(constB156)) | (~v102(constB156)))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19664, 19659])).
% 14.02/10.09 tff(19666,plain,
% 14.02/10.09 ((~(v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))) | v101(constB156) | ((~v1(constB156)) | (~v102(constB156)))),
% 14.02/10.09 inference(tautology,[status(thm)],[])).
% 14.02/10.09 tff(19667,plain,
% 14.02/10.09 (v101(constB156)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19666, 19665, 19643])).
% 14.02/10.09 tff(19668,plain,
% 14.02/10.09 (((~![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)))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19669,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19670,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19669, 19668])).
% 14.02/10.09 tff(19671,plain,
% 14.02/10.09 (v110(constB156) <=> v108(constB155)),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19670, 19632, 722])).
% 14.02/10.09 tff(19672,plain,
% 14.02/10.09 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB155) <=> (v111(constB155) | v112(constB155)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19673,plain,
% 14.02/10.09 (v108(constB155) <=> (v111(constB155) | v112(constB155))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19672, 733])).
% 14.02/10.09 tff(19674,plain,
% 14.02/10.09 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19675,plain,
% 14.02/10.09 (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155))))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19674, 745])).
% 14.02/10.09 tff(19676,plain,
% 14.02/10.09 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB155) <=> (v114(constB155) | v125(constB155)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19677,plain,
% 14.02/10.09 (v113(constB155) <=> (v114(constB155) | v125(constB155))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19676, 754])).
% 14.02/10.09 tff(19678,plain,
% 14.02/10.09 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB155) <=> (v115(constB155) | v124(constB155)))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19679,plain,
% 14.02/10.09 (v114(constB155) <=> (v115(constB155) | v124(constB155))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19678, 763])).
% 14.02/10.09 tff(19680,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19681,plain,
% 14.02/10.09 ((v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2))))) <=> (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19682,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(monotonicity,[status(thm)],[19681])).
% 14.02/10.09 tff(19683,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(transitivity,[status(thm)],[19682, 19680])).
% 14.02/10.09 tff(19684,plain,
% 14.02/10.09 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19685,plain,
% 14.02/10.09 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 14.02/10.09 tff(19686,plain,
% 14.02/10.09 (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19685, 2651])).
% 14.02/10.09 tff(19687,plain,
% 14.02/10.09 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19688,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154')).
% 14.02/10.09 tff(19689,plain,
% 14.02/10.09 (nextState(constB154, constB155)),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 14.02/10.09 tff(19690,plain,
% 14.02/10.09 (((~![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))))))),
% 14.02/10.09 inference(rewrite,[status(thm)],[])).
% 14.02/10.09 tff(19691,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 14.02/10.09 inference(quant_inst,[status(thm)],[])).
% 14.02/10.09 tff(19692,plain,
% 14.02/10.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))),
% 14.02/10.09 inference(modus_ponens,[status(thm)],[19691, 19690])).
% 14.02/10.09 tff(19693,plain,
% 14.02/10.09 (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))),
% 14.02/10.09 inference(unit_resolution,[status(thm)],[19692, 19689, 596])).
% 14.02/10.10 tff(19694,plain,
% 14.02/10.10 (((~![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))))))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19695,plain,
% 14.02/10.10 (((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19696,plain,
% 14.02/10.10 (((~![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)))))))),
% 14.02/10.10 inference(monotonicity,[status(thm)],[19695])).
% 14.02/10.10 tff(19697,plain,
% 14.02/10.10 (((~![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))))))),
% 14.02/10.10 inference(transitivity,[status(thm)],[19696, 19694])).
% 14.02/10.10 tff(19698,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19699,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19698, 19697])).
% 14.02/10.10 tff(19700,plain,
% 14.02/10.10 (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19699, 19689, 616])).
% 14.02/10.10 tff(19701,plain,
% 14.02/10.10 (((~v1(constB155)) | (~v102(constB155))) | v1(constB155)),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19702,plain,
% 14.02/10.10 ((~v1(constB155)) | (~v102(constB155))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19701, 19654])).
% 14.02/10.10 tff(19703,plain,
% 14.02/10.10 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155)) | (~((~v1(constB155)) | (~v102(constB155))))),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19704,plain,
% 14.02/10.10 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19703, 19702])).
% 14.02/10.10 tff(19705,plain,
% 14.02/10.10 (~v101(constB155)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19704, 19700])).
% 14.02/10.10 tff(19706,plain,
% 14.02/10.10 (((~v101(constB155)) | (~v110(constB155))) | v101(constB155)),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19707,plain,
% 14.02/10.10 ((~v101(constB155)) | (~v110(constB155))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19706, 19705])).
% 14.02/10.10 tff(19708,plain,
% 14.02/10.10 ((~(v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))) | (~v100(constB155)) | (~((~v101(constB155)) | (~v110(constB155))))),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19709,plain,
% 14.02/10.10 (~v100(constB155)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19708, 19707, 19693])).
% 14.02/10.10 tff(19710,plain,
% 14.02/10.10 (((~![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))))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19711,plain,
% 14.02/10.10 ((~![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))))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19712,plain,
% 14.02/10.10 ((~![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)))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 14.02/10.10 tff(19713,plain,
% 14.02/10.10 (v100(constB155) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19712, 19689, 645])).
% 14.02/10.10 tff(19714,plain,
% 14.02/10.10 (![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19713, 19709])).
% 14.02/10.10 tff(19715,plain,
% 14.02/10.10 (((~![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)))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19716,plain,
% 14.02/10.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19717,plain,
% 14.02/10.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19716, 19715])).
% 14.02/10.10 tff(19718,plain,
% 14.02/10.10 (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19717, 579, 19714])).
% 14.02/10.10 tff(19719,plain,
% 14.02/10.10 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19720,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153')).
% 14.02/10.10 tff(19721,plain,
% 14.02/10.10 (nextState(constB153, constB154)),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19720, 19719])).
% 14.02/10.10 tff(19722,plain,
% 14.02/10.10 (((~![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))))))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19723,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19724,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19723, 19722])).
% 14.02/10.10 tff(19725,plain,
% 14.02/10.10 (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19724, 19721, 596])).
% 14.02/10.10 tff(19726,plain,
% 14.02/10.10 (((~![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))))))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19727,plain,
% 14.02/10.10 (((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19728,plain,
% 14.02/10.10 (((~![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)))))))),
% 14.02/10.10 inference(monotonicity,[status(thm)],[19727])).
% 14.02/10.10 tff(19729,plain,
% 14.02/10.10 (((~![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))))))),
% 14.02/10.10 inference(transitivity,[status(thm)],[19728, 19726])).
% 14.02/10.10 tff(19730,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19731,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19730, 19729])).
% 14.02/10.10 tff(19732,plain,
% 14.02/10.10 (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19731, 19721, 616])).
% 14.02/10.10 tff(19733,plain,
% 14.02/10.10 (((~![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)))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19734,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19735,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 14.02/10.10 tff(19736,plain,
% 14.02/10.10 ((~v102(constB154)) <=> v104(constB154)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19735, 19721, 678])).
% 14.02/10.10 tff(19737,plain,
% 14.02/10.10 (((~![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)))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19738,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19739,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 14.02/10.10 tff(19740,plain,
% 14.02/10.10 (v104(constB154) <=> v1(constB153)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19739, 19721, 692])).
% 14.02/10.10 tff(19741,plain,
% 14.02/10.10 ((~v1(constB153)) <=> (~v1(constB153))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19742,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153')).
% 14.02/10.10 tff(19743,plain,
% 14.02/10.10 (~v1(constB153)),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 14.02/10.10 tff(19744,plain,
% 14.02/10.10 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154)) | v1(constB153)),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19745,plain,
% 14.02/10.10 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19744, 19743])).
% 14.02/10.10 tff(19746,plain,
% 14.02/10.10 (~v104(constB154)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19745, 19740])).
% 14.02/10.10 tff(19747,plain,
% 14.02/10.10 ((~((~v102(constB154)) <=> v104(constB154))) | v102(constB154) | v104(constB154)),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19748,plain,
% 14.02/10.10 (v102(constB154)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19747, 19746, 19736])).
% 14.02/10.10 tff(19749,plain,
% 14.02/10.10 (v1(constB154) <=> v1(constB154)),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19750,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154')).
% 14.02/10.10 tff(19751,plain,
% 14.02/10.10 (v1(constB154)),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 14.02/10.10 tff(19752,plain,
% 14.02/10.10 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v1(constB154)) | (~v102(constB154))),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19753,plain,
% 14.02/10.10 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v102(constB154))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19752, 19751])).
% 14.02/10.10 tff(19754,plain,
% 14.02/10.10 (~((~v1(constB154)) | (~v102(constB154)))),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19753, 19748])).
% 14.02/10.10 tff(19755,plain,
% 14.02/10.10 ((~(v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))) | v101(constB154) | ((~v1(constB154)) | (~v102(constB154)))),
% 14.02/10.10 inference(tautology,[status(thm)],[])).
% 14.02/10.10 tff(19756,plain,
% 14.02/10.10 (v101(constB154)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19755, 19754, 19732])).
% 14.02/10.10 tff(19757,plain,
% 14.02/10.10 (((~![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)))),
% 14.02/10.10 inference(rewrite,[status(thm)],[])).
% 14.02/10.10 tff(19758,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 14.02/10.10 inference(quant_inst,[status(thm)],[])).
% 14.02/10.10 tff(19759,plain,
% 14.02/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153))),
% 14.02/10.10 inference(modus_ponens,[status(thm)],[19758, 19757])).
% 14.02/10.10 tff(19760,plain,
% 14.02/10.10 (v110(constB154) <=> v108(constB153)),
% 14.02/10.10 inference(unit_resolution,[status(thm)],[19759, 19721, 722])).
% 14.02/10.10 tff(19761,plain,
% 14.02/10.10 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB153) <=> (v111(constB153) | v112(constB153)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19762,plain,
% 14.05/10.11 (v108(constB153) <=> (v111(constB153) | v112(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19761, 733])).
% 14.05/10.11 tff(19763,plain,
% 14.05/10.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19764,plain,
% 14.05/10.11 (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153))))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19763, 745])).
% 14.05/10.11 tff(19765,plain,
% 14.05/10.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB153) <=> (v114(constB153) | v125(constB153)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19766,plain,
% 14.05/10.11 (v113(constB153) <=> (v114(constB153) | v125(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19765, 754])).
% 14.05/10.11 tff(19767,plain,
% 14.05/10.11 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB153) <=> (v115(constB153) | v124(constB153)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19768,plain,
% 14.05/10.11 (v114(constB153) <=> (v115(constB153) | v124(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19767, 763])).
% 14.05/10.11 tff(19769,plain,
% 14.05/10.11 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB153) <=> (v116(constB153) | v123(constB153)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19770,plain,
% 14.05/10.11 (v115(constB153) <=> (v116(constB153) | v123(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19769, 772])).
% 14.05/10.11 tff(19771,plain,
% 14.05/10.11 (((~![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)))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19772,plain,
% 14.05/10.11 ((v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))))) <=> (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19773,plain,
% 14.05/10.11 (((~![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)))))),
% 14.05/10.11 inference(monotonicity,[status(thm)],[19772])).
% 14.05/10.11 tff(19774,plain,
% 14.05/10.11 (((~![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)))))),
% 14.05/10.11 inference(transitivity,[status(thm)],[19773, 19771])).
% 14.05/10.11 tff(19775,plain,
% 14.05/10.11 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19776,plain,
% 14.05/10.11 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19775, 19774])).
% 14.05/10.11 tff(19777,plain,
% 14.05/10.11 (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19776, 787])).
% 14.05/10.11 tff(19778,plain,
% 14.05/10.11 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19779,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152')).
% 14.05/10.11 tff(19780,plain,
% 14.05/10.11 (nextState(constB152, constB153)),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19779, 19778])).
% 14.05/10.11 tff(19781,plain,
% 14.05/10.11 (((~![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))))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19782,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19783,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19782, 19781])).
% 14.05/10.11 tff(19784,plain,
% 14.05/10.11 (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19783, 19780, 596])).
% 14.05/10.11 tff(19785,plain,
% 14.05/10.11 (((~![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))))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19786,plain,
% 14.05/10.11 (((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19787,plain,
% 14.05/10.11 (((~![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)))))))),
% 14.05/10.11 inference(monotonicity,[status(thm)],[19786])).
% 14.05/10.11 tff(19788,plain,
% 14.05/10.11 (((~![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))))))),
% 14.05/10.11 inference(transitivity,[status(thm)],[19787, 19785])).
% 14.05/10.11 tff(19789,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19790,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 14.05/10.11 tff(19791,plain,
% 14.05/10.11 (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19790, 19780, 616])).
% 14.05/10.11 tff(19792,plain,
% 14.05/10.11 (((~v1(constB153)) | (~v102(constB153))) | v1(constB153)),
% 14.05/10.11 inference(tautology,[status(thm)],[])).
% 14.05/10.11 tff(19793,plain,
% 14.05/10.11 ((~v1(constB153)) | (~v102(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19792, 19743])).
% 14.05/10.11 tff(19794,plain,
% 14.05/10.11 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153)) | (~((~v1(constB153)) | (~v102(constB153))))),
% 14.05/10.11 inference(tautology,[status(thm)],[])).
% 14.05/10.11 tff(19795,plain,
% 14.05/10.11 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19794, 19793])).
% 14.05/10.11 tff(19796,plain,
% 14.05/10.11 (~v101(constB153)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19795, 19791])).
% 14.05/10.11 tff(19797,plain,
% 14.05/10.11 (((~v101(constB153)) | (~v110(constB153))) | v101(constB153)),
% 14.05/10.11 inference(tautology,[status(thm)],[])).
% 14.05/10.11 tff(19798,plain,
% 14.05/10.11 ((~v101(constB153)) | (~v110(constB153))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19797, 19796])).
% 14.05/10.11 tff(19799,plain,
% 14.05/10.11 ((~(v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))) | (~v100(constB153)) | (~((~v101(constB153)) | (~v110(constB153))))),
% 14.05/10.11 inference(tautology,[status(thm)],[])).
% 14.05/10.11 tff(19800,plain,
% 14.05/10.11 (~v100(constB153)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19799, 19798, 19784])).
% 14.05/10.11 tff(19801,plain,
% 14.05/10.11 (((~![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))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19802,plain,
% 14.05/10.11 ((~![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))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19803,plain,
% 14.05/10.11 ((~![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)))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19802, 19801])).
% 14.05/10.11 tff(19804,plain,
% 14.05/10.11 (v100(constB153) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19803, 19780, 645])).
% 14.05/10.11 tff(19805,plain,
% 14.05/10.11 (![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19804, 19800])).
% 14.05/10.11 tff(19806,plain,
% 14.05/10.11 (((~![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)))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19807,plain,
% 14.05/10.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19808,plain,
% 14.05/10.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 14.05/10.11 tff(19809,plain,
% 14.05/10.11 (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19808, 579, 19805])).
% 14.05/10.11 tff(19810,plain,
% 14.05/10.11 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19811,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151')).
% 14.05/10.11 tff(19812,plain,
% 14.05/10.11 (nextState(constB151, constB152)),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19811, 19810])).
% 14.05/10.11 tff(19813,plain,
% 14.05/10.11 (((~![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))))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19814,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19815,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 14.05/10.11 tff(19816,plain,
% 14.05/10.11 (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19815, 19812, 596])).
% 14.05/10.11 tff(19817,plain,
% 14.05/10.11 (((~![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))))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19818,plain,
% 14.05/10.11 (((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19819,plain,
% 14.05/10.11 (((~![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)))))))),
% 14.05/10.11 inference(monotonicity,[status(thm)],[19818])).
% 14.05/10.11 tff(19820,plain,
% 14.05/10.11 (((~![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))))))),
% 14.05/10.11 inference(transitivity,[status(thm)],[19819, 19817])).
% 14.05/10.11 tff(19821,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19822,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 14.05/10.11 tff(19823,plain,
% 14.05/10.11 (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19822, 19812, 616])).
% 14.05/10.11 tff(19824,plain,
% 14.05/10.11 (((~![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)))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19825,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19826,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19825, 19824])).
% 14.05/10.11 tff(19827,plain,
% 14.05/10.11 ((~v102(constB152)) <=> v104(constB152)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19826, 19812, 678])).
% 14.05/10.11 tff(19828,plain,
% 14.05/10.11 (((~![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)))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19829,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 14.05/10.11 inference(quant_inst,[status(thm)],[])).
% 14.05/10.11 tff(19830,plain,
% 14.05/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151))),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19829, 19828])).
% 14.05/10.11 tff(19831,plain,
% 14.05/10.11 (v104(constB152) <=> v1(constB151)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19830, 19812, 692])).
% 14.05/10.11 tff(19832,plain,
% 14.05/10.11 ((~v1(constB151)) <=> (~v1(constB151))),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19833,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151')).
% 14.05/10.11 tff(19834,plain,
% 14.05/10.11 (~v1(constB151)),
% 14.05/10.11 inference(modus_ponens,[status(thm)],[19833, 19832])).
% 14.05/10.11 tff(19835,plain,
% 14.05/10.11 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152)) | v1(constB151)),
% 14.05/10.11 inference(tautology,[status(thm)],[])).
% 14.05/10.11 tff(19836,plain,
% 14.05/10.11 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152))),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19835, 19834])).
% 14.05/10.11 tff(19837,plain,
% 14.05/10.11 (~v104(constB152)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19836, 19831])).
% 14.05/10.11 tff(19838,plain,
% 14.05/10.11 ((~((~v102(constB152)) <=> v104(constB152))) | v102(constB152) | v104(constB152)),
% 14.05/10.11 inference(tautology,[status(thm)],[])).
% 14.05/10.11 tff(19839,plain,
% 14.05/10.11 (v102(constB152)),
% 14.05/10.11 inference(unit_resolution,[status(thm)],[19838, 19837, 19827])).
% 14.05/10.11 tff(19840,plain,
% 14.05/10.11 (v1(constB152) <=> v1(constB152)),
% 14.05/10.11 inference(rewrite,[status(thm)],[])).
% 14.05/10.11 tff(19841,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152')).
% 14.05/10.12 tff(19842,plain,
% 14.05/10.12 (v1(constB152)),
% 14.05/10.12 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 14.05/10.12 tff(19843,plain,
% 14.05/10.12 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v1(constB152)) | (~v102(constB152))),
% 14.05/10.12 inference(tautology,[status(thm)],[])).
% 14.05/10.12 tff(19844,plain,
% 14.05/10.12 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v102(constB152))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19843, 19842])).
% 14.05/10.12 tff(19845,plain,
% 14.05/10.12 (~((~v1(constB152)) | (~v102(constB152)))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19844, 19839])).
% 14.05/10.12 tff(19846,plain,
% 14.05/10.12 ((~(v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))) | v101(constB152) | ((~v1(constB152)) | (~v102(constB152)))),
% 14.05/10.12 inference(tautology,[status(thm)],[])).
% 14.05/10.12 tff(19847,plain,
% 14.05/10.12 (v101(constB152)),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19846, 19845, 19823])).
% 14.05/10.12 tff(19848,plain,
% 14.05/10.12 (((~![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)))),
% 14.05/10.12 inference(rewrite,[status(thm)],[])).
% 14.05/10.12 tff(19849,plain,
% 14.05/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19850,plain,
% 14.05/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151))),
% 14.05/10.12 inference(modus_ponens,[status(thm)],[19849, 19848])).
% 14.05/10.12 tff(19851,plain,
% 14.05/10.12 (v110(constB152) <=> v108(constB151)),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19850, 19812, 722])).
% 14.05/10.12 tff(19852,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB151) <=> (v111(constB151) | v112(constB151)))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19853,plain,
% 14.05/10.12 (v108(constB151) <=> (v111(constB151) | v112(constB151))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19852, 733])).
% 14.05/10.12 tff(19854,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19855,plain,
% 14.05/10.12 (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151))))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19854, 745])).
% 14.05/10.12 tff(19856,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB151) <=> (v114(constB151) | v125(constB151)))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19857,plain,
% 14.05/10.12 (v113(constB151) <=> (v114(constB151) | v125(constB151))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19856, 754])).
% 14.05/10.12 tff(19858,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB151) <=> (v115(constB151) | v124(constB151)))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19859,plain,
% 14.05/10.12 (v114(constB151) <=> (v115(constB151) | v124(constB151))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19858, 763])).
% 14.05/10.12 tff(19860,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB151) <=> (v116(constB151) | v123(constB151)))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19861,plain,
% 14.05/10.12 (v115(constB151) <=> (v116(constB151) | v123(constB151))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19860, 772])).
% 14.05/10.12 tff(19862,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB151) <=> (v117(constB151) | v122(constB151)))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19863,plain,
% 14.05/10.12 (v116(constB151) <=> (v117(constB151) | v122(constB151))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19862, 885])).
% 14.05/10.12 tff(19864,plain,
% 14.05/10.12 (((~![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))))))),
% 14.05/10.12 inference(rewrite,[status(thm)],[])).
% 14.05/10.12 tff(19865,plain,
% 14.05/10.12 ((v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1))))) <=> (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 14.05/10.12 inference(rewrite,[status(thm)],[])).
% 14.05/10.12 tff(19866,plain,
% 14.05/10.12 (((~![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))))))),
% 14.05/10.12 inference(monotonicity,[status(thm)],[19865])).
% 14.05/10.12 tff(19867,plain,
% 14.05/10.12 (((~![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))))))),
% 14.05/10.12 inference(transitivity,[status(thm)],[19866, 19864])).
% 14.05/10.12 tff(19868,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19869,plain,
% 14.05/10.12 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 14.05/10.12 inference(modus_ponens,[status(thm)],[19868, 19867])).
% 14.05/10.12 tff(19870,plain,
% 14.05/10.12 (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))),
% 14.05/10.12 inference(unit_resolution,[status(thm)],[19869, 900])).
% 14.05/10.12 tff(19871,plain,
% 14.05/10.12 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 14.05/10.12 inference(rewrite,[status(thm)],[])).
% 14.05/10.12 tff(19872,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150')).
% 14.05/10.12 tff(19873,plain,
% 14.05/10.12 (nextState(constB150, constB151)),
% 14.05/10.12 inference(modus_ponens,[status(thm)],[19872, 19871])).
% 14.05/10.12 tff(19874,plain,
% 14.05/10.12 (((~![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))))))),
% 14.05/10.12 inference(rewrite,[status(thm)],[])).
% 14.05/10.12 tff(19875,plain,
% 14.05/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 14.05/10.12 inference(quant_inst,[status(thm)],[])).
% 14.05/10.12 tff(19876,plain,
% 14.05/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))),
% 14.07/10.12 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 14.07/10.12 tff(19877,plain,
% 14.07/10.12 (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19876, 19873, 596])).
% 14.07/10.12 tff(19878,plain,
% 14.07/10.12 (((~![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))))))),
% 14.07/10.12 inference(rewrite,[status(thm)],[])).
% 14.07/10.12 tff(19879,plain,
% 14.07/10.12 (((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 14.07/10.12 inference(rewrite,[status(thm)],[])).
% 14.07/10.12 tff(19880,plain,
% 14.07/10.12 (((~![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)))))))),
% 14.07/10.12 inference(monotonicity,[status(thm)],[19879])).
% 14.07/10.12 tff(19881,plain,
% 14.07/10.12 (((~![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))))))),
% 14.07/10.12 inference(transitivity,[status(thm)],[19880, 19878])).
% 14.07/10.12 tff(19882,plain,
% 14.07/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))),
% 14.07/10.12 inference(quant_inst,[status(thm)],[])).
% 14.07/10.12 tff(19883,plain,
% 14.07/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))),
% 14.07/10.12 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 14.07/10.12 tff(19884,plain,
% 14.07/10.12 (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19883, 19873, 616])).
% 14.07/10.12 tff(19885,plain,
% 14.07/10.12 (((~v1(constB151)) | (~v102(constB151))) | v1(constB151)),
% 14.07/10.12 inference(tautology,[status(thm)],[])).
% 14.07/10.12 tff(19886,plain,
% 14.07/10.12 ((~v1(constB151)) | (~v102(constB151))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19885, 19834])).
% 14.07/10.12 tff(19887,plain,
% 14.07/10.12 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151)) | (~((~v1(constB151)) | (~v102(constB151))))),
% 14.07/10.12 inference(tautology,[status(thm)],[])).
% 14.07/10.12 tff(19888,plain,
% 14.07/10.12 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19887, 19886])).
% 14.07/10.12 tff(19889,plain,
% 14.07/10.12 (~v101(constB151)),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19888, 19884])).
% 14.07/10.12 tff(19890,plain,
% 14.07/10.12 (((~v101(constB151)) | (~v110(constB151))) | v101(constB151)),
% 14.07/10.12 inference(tautology,[status(thm)],[])).
% 14.07/10.12 tff(19891,plain,
% 14.07/10.12 ((~v101(constB151)) | (~v110(constB151))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19890, 19889])).
% 14.07/10.12 tff(19892,plain,
% 14.07/10.12 ((~(v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))) | (~v100(constB151)) | (~((~v101(constB151)) | (~v110(constB151))))),
% 14.07/10.12 inference(tautology,[status(thm)],[])).
% 14.07/10.12 tff(19893,plain,
% 14.07/10.12 (~v100(constB151)),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19892, 19891, 19877])).
% 14.07/10.12 tff(19894,plain,
% 14.07/10.12 (((~![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))))),
% 14.07/10.12 inference(rewrite,[status(thm)],[])).
% 14.07/10.12 tff(19895,plain,
% 14.07/10.12 ((~![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))))),
% 14.07/10.12 inference(quant_inst,[status(thm)],[])).
% 14.07/10.12 tff(19896,plain,
% 14.07/10.12 ((~![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)))),
% 14.07/10.12 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 14.07/10.12 tff(19897,plain,
% 14.07/10.12 (v100(constB151) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19896, 19873, 645])).
% 14.07/10.12 tff(19898,plain,
% 14.07/10.12 (![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19897, 19893])).
% 14.07/10.12 tff(19899,plain,
% 14.07/10.12 (((~![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)))),
% 14.07/10.12 inference(rewrite,[status(thm)],[])).
% 14.07/10.12 tff(19900,plain,
% 14.07/10.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))),
% 14.07/10.12 inference(quant_inst,[status(thm)],[])).
% 14.07/10.12 tff(19901,plain,
% 14.07/10.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2))),
% 14.07/10.12 inference(modus_ponens,[status(thm)],[19900, 19899])).
% 14.07/10.12 tff(19902,plain,
% 14.07/10.12 (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)),
% 14.07/10.12 inference(unit_resolution,[status(thm)],[19901, 579, 19898])).
% 14.07/10.12 tff(19903,plain,
% 14.07/10.12 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 14.07/10.12 inference(rewrite,[status(thm)],[])).
% 14.07/10.12 tff(19904,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149')).
% 14.07/10.12 tff(19905,plain,
% 14.07/10.12 (nextState(constB149, constB150)),
% 14.07/10.12 inference(modus_ponens,[status(thm)],[19904, 19903])).
% 14.07/10.12 tff(19906,plain,
% 14.07/10.12 (((~![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))))))),
% 14.07/10.12 inference(rewrite,[status(thm)],[])).
% 14.07/10.12 tff(19907,plain,
% 14.07/10.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19908,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 14.07/10.13 tff(19909,plain,
% 14.07/10.13 (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19908, 19905, 596])).
% 14.07/10.13 tff(19910,plain,
% 14.07/10.13 (((~![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))))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19911,plain,
% 14.07/10.13 (((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19912,plain,
% 14.07/10.13 (((~![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)))))))),
% 14.07/10.13 inference(monotonicity,[status(thm)],[19911])).
% 14.07/10.13 tff(19913,plain,
% 14.07/10.13 (((~![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))))))),
% 14.07/10.13 inference(transitivity,[status(thm)],[19912, 19910])).
% 14.07/10.13 tff(19914,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19915,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 14.07/10.13 tff(19916,plain,
% 14.07/10.13 (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19915, 19905, 616])).
% 14.07/10.13 tff(19917,plain,
% 14.07/10.13 (((~![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)))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19918,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19919,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19918, 19917])).
% 14.07/10.13 tff(19920,plain,
% 14.07/10.13 ((~v102(constB150)) <=> v104(constB150)),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19919, 19905, 678])).
% 14.07/10.13 tff(19921,plain,
% 14.07/10.13 (((~![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)))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19922,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19923,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 14.07/10.13 tff(19924,plain,
% 14.07/10.13 (v104(constB150) <=> v1(constB149)),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19923, 19905, 692])).
% 14.07/10.13 tff(19925,plain,
% 14.07/10.13 ((~v1(constB149)) <=> (~v1(constB149))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19926,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149')).
% 14.07/10.13 tff(19927,plain,
% 14.07/10.13 (~v1(constB149)),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 14.07/10.13 tff(19928,plain,
% 14.07/10.13 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150)) | v1(constB149)),
% 14.07/10.13 inference(tautology,[status(thm)],[])).
% 14.07/10.13 tff(19929,plain,
% 14.07/10.13 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19928, 19927])).
% 14.07/10.13 tff(19930,plain,
% 14.07/10.13 (~v104(constB150)),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19929, 19924])).
% 14.07/10.13 tff(19931,plain,
% 14.07/10.13 ((~((~v102(constB150)) <=> v104(constB150))) | v102(constB150) | v104(constB150)),
% 14.07/10.13 inference(tautology,[status(thm)],[])).
% 14.07/10.13 tff(19932,plain,
% 14.07/10.13 (v102(constB150)),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19931, 19930, 19920])).
% 14.07/10.13 tff(19933,plain,
% 14.07/10.13 (v1(constB150) <=> v1(constB150)),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19934,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150')).
% 14.07/10.13 tff(19935,plain,
% 14.07/10.13 (v1(constB150)),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 14.07/10.13 tff(19936,plain,
% 14.07/10.13 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v1(constB150)) | (~v102(constB150))),
% 14.07/10.13 inference(tautology,[status(thm)],[])).
% 14.07/10.13 tff(19937,plain,
% 14.07/10.13 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v102(constB150))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19936, 19935])).
% 14.07/10.13 tff(19938,plain,
% 14.07/10.13 (~((~v1(constB150)) | (~v102(constB150)))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19937, 19932])).
% 14.07/10.13 tff(19939,plain,
% 14.07/10.13 ((~(v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))) | v101(constB150) | ((~v1(constB150)) | (~v102(constB150)))),
% 14.07/10.13 inference(tautology,[status(thm)],[])).
% 14.07/10.13 tff(19940,plain,
% 14.07/10.13 (v101(constB150)),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19939, 19938, 19916])).
% 14.07/10.13 tff(19941,plain,
% 14.07/10.13 (((~![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)))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19942,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19943,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 14.07/10.13 tff(19944,plain,
% 14.07/10.13 (v110(constB150) <=> v108(constB149)),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19943, 19905, 722])).
% 14.07/10.13 tff(19945,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB149) <=> (v111(constB149) | v112(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19946,plain,
% 14.07/10.13 (v108(constB149) <=> (v111(constB149) | v112(constB149))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19945, 733])).
% 14.07/10.13 tff(19947,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19948,plain,
% 14.07/10.13 (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149))))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19947, 745])).
% 14.07/10.13 tff(19949,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB149) <=> (v114(constB149) | v125(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19950,plain,
% 14.07/10.13 (v113(constB149) <=> (v114(constB149) | v125(constB149))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19949, 754])).
% 14.07/10.13 tff(19951,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB149) <=> (v115(constB149) | v124(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19952,plain,
% 14.07/10.13 (v114(constB149) <=> (v115(constB149) | v124(constB149))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19951, 763])).
% 14.07/10.13 tff(19953,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB149) <=> (v116(constB149) | v123(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19954,plain,
% 14.07/10.13 (v115(constB149) <=> (v116(constB149) | v123(constB149))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19953, 772])).
% 14.07/10.13 tff(19955,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB149) <=> (v117(constB149) | v122(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19956,plain,
% 14.07/10.13 (v116(constB149) <=> (v117(constB149) | v122(constB149))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19955, 885])).
% 14.07/10.13 tff(19957,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB149) <=> (v118(constB149) | v121(constB149)))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19958,plain,
% 14.07/10.13 (v117(constB149) <=> (v118(constB149) | v121(constB149))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19957, 1000])).
% 14.07/10.13 tff(19959,plain,
% 14.07/10.13 (((~![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)))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19960,plain,
% 14.07/10.13 ((v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1))))) <=> (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19961,plain,
% 14.07/10.13 (((~![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)))))),
% 14.07/10.13 inference(monotonicity,[status(thm)],[19960])).
% 14.07/10.13 tff(19962,plain,
% 14.07/10.13 (((~![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)))))),
% 14.07/10.13 inference(transitivity,[status(thm)],[19961, 19959])).
% 14.07/10.13 tff(19963,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19964,plain,
% 14.07/10.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19963, 19962])).
% 14.07/10.13 tff(19965,plain,
% 14.07/10.13 (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19964, 1015])).
% 14.07/10.13 tff(19966,plain,
% 14.07/10.13 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19967,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148')).
% 14.07/10.13 tff(19968,plain,
% 14.07/10.13 (nextState(constB148, constB149)),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19967, 19966])).
% 14.07/10.13 tff(19969,plain,
% 14.07/10.13 (((~![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))))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19970,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 14.07/10.13 inference(quant_inst,[status(thm)],[])).
% 14.07/10.13 tff(19971,plain,
% 14.07/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))),
% 14.07/10.13 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 14.07/10.13 tff(19972,plain,
% 14.07/10.13 (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))),
% 14.07/10.13 inference(unit_resolution,[status(thm)],[19971, 19968, 596])).
% 14.07/10.13 tff(19973,plain,
% 14.07/10.13 (((~![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))))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19974,plain,
% 14.07/10.13 (((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 14.07/10.13 inference(rewrite,[status(thm)],[])).
% 14.07/10.13 tff(19975,plain,
% 14.07/10.13 (((~![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)))))))),
% 14.07/10.14 inference(monotonicity,[status(thm)],[19974])).
% 14.07/10.14 tff(19976,plain,
% 14.07/10.14 (((~![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))))))),
% 14.07/10.14 inference(transitivity,[status(thm)],[19975, 19973])).
% 14.07/10.14 tff(19977,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(19978,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[19977, 19976])).
% 14.07/10.14 tff(19979,plain,
% 14.07/10.14 (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19978, 19968, 616])).
% 14.07/10.14 tff(19980,plain,
% 14.07/10.14 (((~v1(constB149)) | (~v102(constB149))) | v1(constB149)),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(19981,plain,
% 14.07/10.14 ((~v1(constB149)) | (~v102(constB149))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19980, 19927])).
% 14.07/10.14 tff(19982,plain,
% 14.07/10.14 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149)) | (~((~v1(constB149)) | (~v102(constB149))))),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(19983,plain,
% 14.07/10.14 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19982, 19981])).
% 14.07/10.14 tff(19984,plain,
% 14.07/10.14 (~v101(constB149)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19983, 19979])).
% 14.07/10.14 tff(19985,plain,
% 14.07/10.14 (((~v101(constB149)) | (~v110(constB149))) | v101(constB149)),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(19986,plain,
% 14.07/10.14 ((~v101(constB149)) | (~v110(constB149))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19985, 19984])).
% 14.07/10.14 tff(19987,plain,
% 14.07/10.14 ((~(v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))) | (~v100(constB149)) | (~((~v101(constB149)) | (~v110(constB149))))),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(19988,plain,
% 14.07/10.14 (~v100(constB149)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19987, 19986, 19972])).
% 14.07/10.14 tff(19989,plain,
% 14.07/10.14 (((~![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))))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(19990,plain,
% 14.07/10.14 ((~![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))))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(19991,plain,
% 14.07/10.14 ((~![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)))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 14.07/10.14 tff(19992,plain,
% 14.07/10.14 (v100(constB149) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19991, 19968, 645])).
% 14.07/10.14 tff(19993,plain,
% 14.07/10.14 (![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19992, 19988])).
% 14.07/10.14 tff(19994,plain,
% 14.07/10.14 (((~![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)))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(19995,plain,
% 14.07/10.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(19996,plain,
% 14.07/10.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[19995, 19994])).
% 14.07/10.14 tff(19997,plain,
% 14.07/10.14 (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[19996, 579, 19993])).
% 14.07/10.14 tff(19998,plain,
% 14.07/10.14 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(19999,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147')).
% 14.07/10.14 tff(20000,plain,
% 14.07/10.14 (nextState(constB147, constB148)),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 14.07/10.14 tff(20001,plain,
% 14.07/10.14 (((~![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))))))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20002,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20003,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 14.07/10.14 tff(20004,plain,
% 14.07/10.14 (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20003, 20000, 596])).
% 14.07/10.14 tff(20005,plain,
% 14.07/10.14 (((~![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))))))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20006,plain,
% 14.07/10.14 (((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20007,plain,
% 14.07/10.14 (((~![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)))))))),
% 14.07/10.14 inference(monotonicity,[status(thm)],[20006])).
% 14.07/10.14 tff(20008,plain,
% 14.07/10.14 (((~![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))))))),
% 14.07/10.14 inference(transitivity,[status(thm)],[20007, 20005])).
% 14.07/10.14 tff(20009,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20010,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20009, 20008])).
% 14.07/10.14 tff(20011,plain,
% 14.07/10.14 (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20010, 20000, 616])).
% 14.07/10.14 tff(20012,plain,
% 14.07/10.14 (((~![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)))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20013,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20014,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20013, 20012])).
% 14.07/10.14 tff(20015,plain,
% 14.07/10.14 ((~v102(constB148)) <=> v104(constB148)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20014, 20000, 678])).
% 14.07/10.14 tff(20016,plain,
% 14.07/10.14 (((~![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)))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20017,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20018,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 14.07/10.14 tff(20019,plain,
% 14.07/10.14 (v104(constB148) <=> v1(constB147)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20018, 20000, 692])).
% 14.07/10.14 tff(20020,plain,
% 14.07/10.14 ((~v1(constB147)) <=> (~v1(constB147))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20021,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147')).
% 14.07/10.14 tff(20022,plain,
% 14.07/10.14 (~v1(constB147)),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20021, 20020])).
% 14.07/10.14 tff(20023,plain,
% 14.07/10.14 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148)) | v1(constB147)),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(20024,plain,
% 14.07/10.14 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20023, 20022])).
% 14.07/10.14 tff(20025,plain,
% 14.07/10.14 (~v104(constB148)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20024, 20019])).
% 14.07/10.14 tff(20026,plain,
% 14.07/10.14 ((~((~v102(constB148)) <=> v104(constB148))) | v102(constB148) | v104(constB148)),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(20027,plain,
% 14.07/10.14 (v102(constB148)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20026, 20025, 20015])).
% 14.07/10.14 tff(20028,plain,
% 14.07/10.14 (v1(constB148) <=> v1(constB148)),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20029,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148')).
% 14.07/10.14 tff(20030,plain,
% 14.07/10.14 (v1(constB148)),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20029, 20028])).
% 14.07/10.14 tff(20031,plain,
% 14.07/10.14 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v1(constB148)) | (~v102(constB148))),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(20032,plain,
% 14.07/10.14 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v102(constB148))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20031, 20030])).
% 14.07/10.14 tff(20033,plain,
% 14.07/10.14 (~((~v1(constB148)) | (~v102(constB148)))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20032, 20027])).
% 14.07/10.14 tff(20034,plain,
% 14.07/10.14 ((~(v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))) | v101(constB148) | ((~v1(constB148)) | (~v102(constB148)))),
% 14.07/10.14 inference(tautology,[status(thm)],[])).
% 14.07/10.14 tff(20035,plain,
% 14.07/10.14 (v101(constB148)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20034, 20033, 20011])).
% 14.07/10.14 tff(20036,plain,
% 14.07/10.14 (((~![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)))),
% 14.07/10.14 inference(rewrite,[status(thm)],[])).
% 14.07/10.14 tff(20037,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20038,plain,
% 14.07/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147))),
% 14.07/10.14 inference(modus_ponens,[status(thm)],[20037, 20036])).
% 14.07/10.14 tff(20039,plain,
% 14.07/10.14 (v110(constB148) <=> v108(constB147)),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20038, 20000, 722])).
% 14.07/10.14 tff(20040,plain,
% 14.07/10.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB147) <=> (v111(constB147) | v112(constB147)))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20041,plain,
% 14.07/10.14 (v108(constB147) <=> (v111(constB147) | v112(constB147))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20040, 733])).
% 14.07/10.14 tff(20042,plain,
% 14.07/10.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20043,plain,
% 14.07/10.14 (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147))))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20042, 745])).
% 14.07/10.14 tff(20044,plain,
% 14.07/10.14 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB147) <=> (v114(constB147) | v125(constB147)))),
% 14.07/10.14 inference(quant_inst,[status(thm)],[])).
% 14.07/10.14 tff(20045,plain,
% 14.07/10.14 (v113(constB147) <=> (v114(constB147) | v125(constB147))),
% 14.07/10.14 inference(unit_resolution,[status(thm)],[20044, 754])).
% 14.07/10.15 tff(20046,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB147) <=> (v115(constB147) | v124(constB147)))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20047,plain,
% 14.07/10.15 (v114(constB147) <=> (v115(constB147) | v124(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20046, 763])).
% 14.07/10.15 tff(20048,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB147) <=> (v116(constB147) | v123(constB147)))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20049,plain,
% 14.07/10.15 (v115(constB147) <=> (v116(constB147) | v123(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20048, 772])).
% 14.07/10.15 tff(20050,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB147) <=> (v117(constB147) | v122(constB147)))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20051,plain,
% 14.07/10.15 (v116(constB147) <=> (v117(constB147) | v122(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20050, 885])).
% 14.07/10.15 tff(20052,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB147) <=> (v118(constB147) | v121(constB147)))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20053,plain,
% 14.07/10.15 (v117(constB147) <=> (v118(constB147) | v121(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20052, 1000])).
% 14.07/10.15 tff(20054,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB147) <=> (v119(constB147) | v120(constB147)))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20055,plain,
% 14.07/10.15 (v118(constB147) <=> (v119(constB147) | v120(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20054, 1117])).
% 14.07/10.15 tff(20056,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20057,plain,
% 14.07/10.15 ((v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))))) <=> (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20058,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(monotonicity,[status(thm)],[20057])).
% 14.07/10.15 tff(20059,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(transitivity,[status(thm)],[20058, 20056])).
% 14.07/10.15 tff(20060,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20061,plain,
% 14.07/10.15 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 14.07/10.15 tff(20062,plain,
% 14.07/10.15 (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20061, 1132])).
% 14.07/10.15 tff(20063,plain,
% 14.07/10.15 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20064,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146')).
% 14.07/10.15 tff(20065,plain,
% 14.07/10.15 (nextState(constB146, constB147)),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 14.07/10.15 tff(20066,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20067,plain,
% 14.07/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20068,plain,
% 14.07/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 14.07/10.15 tff(20069,plain,
% 14.07/10.15 (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20068, 20065, 596])).
% 14.07/10.15 tff(20070,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20071,plain,
% 14.07/10.15 (((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20072,plain,
% 14.07/10.15 (((~![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)))))))),
% 14.07/10.15 inference(monotonicity,[status(thm)],[20071])).
% 14.07/10.15 tff(20073,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(transitivity,[status(thm)],[20072, 20070])).
% 14.07/10.15 tff(20074,plain,
% 14.07/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20075,plain,
% 14.07/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 14.07/10.15 tff(20076,plain,
% 14.07/10.15 (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20075, 20065, 616])).
% 14.07/10.15 tff(20077,plain,
% 14.07/10.15 (((~v1(constB147)) | (~v102(constB147))) | v1(constB147)),
% 14.07/10.15 inference(tautology,[status(thm)],[])).
% 14.07/10.15 tff(20078,plain,
% 14.07/10.15 ((~v1(constB147)) | (~v102(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20077, 20022])).
% 14.07/10.15 tff(20079,plain,
% 14.07/10.15 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147)) | (~((~v1(constB147)) | (~v102(constB147))))),
% 14.07/10.15 inference(tautology,[status(thm)],[])).
% 14.07/10.15 tff(20080,plain,
% 14.07/10.15 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20079, 20078])).
% 14.07/10.15 tff(20081,plain,
% 14.07/10.15 (~v101(constB147)),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20080, 20076])).
% 14.07/10.15 tff(20082,plain,
% 14.07/10.15 (((~v101(constB147)) | (~v110(constB147))) | v101(constB147)),
% 14.07/10.15 inference(tautology,[status(thm)],[])).
% 14.07/10.15 tff(20083,plain,
% 14.07/10.15 ((~v101(constB147)) | (~v110(constB147))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20082, 20081])).
% 14.07/10.15 tff(20084,plain,
% 14.07/10.15 ((~(v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))) | (~v100(constB147)) | (~((~v101(constB147)) | (~v110(constB147))))),
% 14.07/10.15 inference(tautology,[status(thm)],[])).
% 14.07/10.15 tff(20085,plain,
% 14.07/10.15 (~v100(constB147)),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20084, 20083, 20069])).
% 14.07/10.15 tff(20086,plain,
% 14.07/10.15 (((~![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))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20087,plain,
% 14.07/10.15 ((~![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))))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20088,plain,
% 14.07/10.15 ((~![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)))),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 14.07/10.15 tff(20089,plain,
% 14.07/10.15 (v100(constB147) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20088, 20065, 645])).
% 14.07/10.15 tff(20090,plain,
% 14.07/10.15 (![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20089, 20085])).
% 14.07/10.15 tff(20091,plain,
% 14.07/10.15 (((~![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)))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20092,plain,
% 14.07/10.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20093,plain,
% 14.07/10.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2))),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20092, 20091])).
% 14.07/10.15 tff(20094,plain,
% 14.07/10.15 (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20093, 579, 20090])).
% 14.07/10.15 tff(20095,plain,
% 14.07/10.15 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20096,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145')).
% 14.07/10.15 tff(20097,plain,
% 14.07/10.15 (nextState(constB145, constB146)),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20096, 20095])).
% 14.07/10.15 tff(20098,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20099,plain,
% 14.07/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 14.07/10.15 inference(quant_inst,[status(thm)],[])).
% 14.07/10.15 tff(20100,plain,
% 14.07/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))),
% 14.07/10.15 inference(modus_ponens,[status(thm)],[20099, 20098])).
% 14.07/10.15 tff(20101,plain,
% 14.07/10.15 (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))),
% 14.07/10.15 inference(unit_resolution,[status(thm)],[20100, 20097, 596])).
% 14.07/10.15 tff(20102,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20103,plain,
% 14.07/10.15 (((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 14.07/10.15 inference(rewrite,[status(thm)],[])).
% 14.07/10.15 tff(20104,plain,
% 14.07/10.15 (((~![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)))))))),
% 14.07/10.15 inference(monotonicity,[status(thm)],[20103])).
% 14.07/10.15 tff(20105,plain,
% 14.07/10.15 (((~![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))))))),
% 14.07/10.16 inference(transitivity,[status(thm)],[20104, 20102])).
% 14.07/10.16 tff(20106,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20107,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 14.07/10.16 tff(20108,plain,
% 14.07/10.16 (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20107, 20097, 616])).
% 14.07/10.16 tff(20109,plain,
% 14.07/10.16 (((~![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)))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20110,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20111,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20110, 20109])).
% 14.07/10.16 tff(20112,plain,
% 14.07/10.16 ((~v102(constB146)) <=> v104(constB146)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20111, 20097, 678])).
% 14.07/10.16 tff(20113,plain,
% 14.07/10.16 (((~![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)))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20114,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20115,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 14.07/10.16 tff(20116,plain,
% 14.07/10.16 (v104(constB146) <=> v1(constB145)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20115, 20097, 692])).
% 14.07/10.16 tff(20117,plain,
% 14.07/10.16 ((~v1(constB145)) <=> (~v1(constB145))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20118,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145')).
% 14.07/10.16 tff(20119,plain,
% 14.07/10.16 (~v1(constB145)),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20118, 20117])).
% 14.07/10.16 tff(20120,plain,
% 14.07/10.16 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146)) | v1(constB145)),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20121,plain,
% 14.07/10.16 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20120, 20119])).
% 14.07/10.16 tff(20122,plain,
% 14.07/10.16 (~v104(constB146)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20121, 20116])).
% 14.07/10.16 tff(20123,plain,
% 14.07/10.16 ((~((~v102(constB146)) <=> v104(constB146))) | v102(constB146) | v104(constB146)),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20124,plain,
% 14.07/10.16 (v102(constB146)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20123, 20122, 20112])).
% 14.07/10.16 tff(20125,plain,
% 14.07/10.16 (v1(constB146) <=> v1(constB146)),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20126,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146')).
% 14.07/10.16 tff(20127,plain,
% 14.07/10.16 (v1(constB146)),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 14.07/10.16 tff(20128,plain,
% 14.07/10.16 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v1(constB146)) | (~v102(constB146))),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20129,plain,
% 14.07/10.16 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v102(constB146))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20128, 20127])).
% 14.07/10.16 tff(20130,plain,
% 14.07/10.16 (~((~v1(constB146)) | (~v102(constB146)))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20129, 20124])).
% 14.07/10.16 tff(20131,plain,
% 14.07/10.16 ((~(v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))) | v101(constB146) | ((~v1(constB146)) | (~v102(constB146)))),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20132,plain,
% 14.07/10.16 (v101(constB146)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20131, 20130, 20108])).
% 14.07/10.16 tff(20133,plain,
% 14.07/10.16 (((~![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)))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20134,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20135,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20134, 20133])).
% 14.07/10.16 tff(20136,plain,
% 14.07/10.16 (v110(constB146) <=> v108(constB145)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20135, 20097, 722])).
% 14.07/10.16 tff(20137,plain,
% 14.07/10.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB145) <=> (v111(constB145) | v112(constB145)))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20138,plain,
% 14.07/10.16 (v108(constB145) <=> (v111(constB145) | v112(constB145))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20137, 733])).
% 14.07/10.16 tff(20139,plain,
% 14.07/10.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20140,plain,
% 14.07/10.16 (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145))))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20139, 745])).
% 14.07/10.16 tff(20141,plain,
% 14.07/10.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB145) <=> (v114(constB145) | v125(constB145)))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20142,plain,
% 14.07/10.16 (v113(constB145) <=> (v114(constB145) | v125(constB145))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20141, 754])).
% 14.07/10.16 tff(20143,plain,
% 14.07/10.16 (((~![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)))))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20144,plain,
% 14.07/10.16 ((v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))))) <=> (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20145,plain,
% 14.07/10.16 (((~![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)))))),
% 14.07/10.16 inference(monotonicity,[status(thm)],[20144])).
% 14.07/10.16 tff(20146,plain,
% 14.07/10.16 (((~![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)))))),
% 14.07/10.16 inference(transitivity,[status(thm)],[20145, 20143])).
% 14.07/10.16 tff(20147,plain,
% 14.07/10.16 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20148,plain,
% 14.07/10.16 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20147, 20146])).
% 14.07/10.16 tff(20149,plain,
% 14.07/10.16 (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20148, 3458])).
% 14.07/10.16 tff(20150,plain,
% 14.07/10.16 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20151,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144')).
% 14.07/10.16 tff(20152,plain,
% 14.07/10.16 (nextState(constB144, constB145)),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20151, 20150])).
% 14.07/10.16 tff(20153,plain,
% 14.07/10.16 (((~![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))))))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20154,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20155,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 14.07/10.16 tff(20156,plain,
% 14.07/10.16 (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20155, 20152, 596])).
% 14.07/10.16 tff(20157,plain,
% 14.07/10.16 (((~![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))))))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20158,plain,
% 14.07/10.16 (((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20159,plain,
% 14.07/10.16 (((~![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)))))))),
% 14.07/10.16 inference(monotonicity,[status(thm)],[20158])).
% 14.07/10.16 tff(20160,plain,
% 14.07/10.16 (((~![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))))))),
% 14.07/10.16 inference(transitivity,[status(thm)],[20159, 20157])).
% 14.07/10.16 tff(20161,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))),
% 14.07/10.16 inference(quant_inst,[status(thm)],[])).
% 14.07/10.16 tff(20162,plain,
% 14.07/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))),
% 14.07/10.16 inference(modus_ponens,[status(thm)],[20161, 20160])).
% 14.07/10.16 tff(20163,plain,
% 14.07/10.16 (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20162, 20152, 616])).
% 14.07/10.16 tff(20164,plain,
% 14.07/10.16 (((~v1(constB145)) | (~v102(constB145))) | v1(constB145)),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20165,plain,
% 14.07/10.16 ((~v1(constB145)) | (~v102(constB145))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20164, 20119])).
% 14.07/10.16 tff(20166,plain,
% 14.07/10.16 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145)) | (~((~v1(constB145)) | (~v102(constB145))))),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20167,plain,
% 14.07/10.16 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20166, 20165])).
% 14.07/10.16 tff(20168,plain,
% 14.07/10.16 (~v101(constB145)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20167, 20163])).
% 14.07/10.16 tff(20169,plain,
% 14.07/10.16 (((~v101(constB145)) | (~v110(constB145))) | v101(constB145)),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20170,plain,
% 14.07/10.16 ((~v101(constB145)) | (~v110(constB145))),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20169, 20168])).
% 14.07/10.16 tff(20171,plain,
% 14.07/10.16 ((~(v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))) | (~v100(constB145)) | (~((~v101(constB145)) | (~v110(constB145))))),
% 14.07/10.16 inference(tautology,[status(thm)],[])).
% 14.07/10.16 tff(20172,plain,
% 14.07/10.16 (~v100(constB145)),
% 14.07/10.16 inference(unit_resolution,[status(thm)],[20171, 20170, 20156])).
% 14.07/10.16 tff(20173,plain,
% 14.07/10.16 (((~![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))))),
% 14.07/10.16 inference(rewrite,[status(thm)],[])).
% 14.07/10.16 tff(20174,plain,
% 14.07/10.16 ((~![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))))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20175,plain,
% 14.07/10.17 ((~![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)))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 14.07/10.17 tff(20176,plain,
% 14.07/10.17 (v100(constB145) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20175, 20152, 645])).
% 14.07/10.17 tff(20177,plain,
% 14.07/10.17 (![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20176, 20172])).
% 14.07/10.17 tff(20178,plain,
% 14.07/10.17 (((~![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)))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20179,plain,
% 14.07/10.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20180,plain,
% 14.07/10.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 14.07/10.17 tff(20181,plain,
% 14.07/10.17 (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20180, 579, 20177])).
% 14.07/10.17 tff(20182,plain,
% 14.07/10.17 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20183,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143')).
% 14.07/10.17 tff(20184,plain,
% 14.07/10.17 (nextState(constB143, constB144)),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 14.07/10.17 tff(20185,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20186,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20187,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 14.07/10.17 tff(20188,plain,
% 14.07/10.17 (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20187, 20184, 596])).
% 14.07/10.17 tff(20189,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20190,plain,
% 14.07/10.17 (((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20191,plain,
% 14.07/10.17 (((~![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)))))))),
% 14.07/10.17 inference(monotonicity,[status(thm)],[20190])).
% 14.07/10.17 tff(20192,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(transitivity,[status(thm)],[20191, 20189])).
% 14.07/10.17 tff(20193,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20194,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20193, 20192])).
% 14.07/10.17 tff(20195,plain,
% 14.07/10.17 (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20194, 20184, 616])).
% 14.07/10.17 tff(20196,plain,
% 14.07/10.17 (((~![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)))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20197,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20198,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 14.07/10.17 tff(20199,plain,
% 14.07/10.17 ((~v102(constB144)) <=> v104(constB144)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20198, 20184, 678])).
% 14.07/10.17 tff(20200,plain,
% 14.07/10.17 (((~![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)))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20201,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20202,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 14.07/10.17 tff(20203,plain,
% 14.07/10.17 (v104(constB144) <=> v1(constB143)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20202, 20184, 692])).
% 14.07/10.17 tff(20204,plain,
% 14.07/10.17 ((~v1(constB143)) <=> (~v1(constB143))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20205,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143')).
% 14.07/10.17 tff(20206,plain,
% 14.07/10.17 (~v1(constB143)),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 14.07/10.17 tff(20207,plain,
% 14.07/10.17 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144)) | v1(constB143)),
% 14.07/10.17 inference(tautology,[status(thm)],[])).
% 14.07/10.17 tff(20208,plain,
% 14.07/10.17 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20207, 20206])).
% 14.07/10.17 tff(20209,plain,
% 14.07/10.17 (~v104(constB144)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20208, 20203])).
% 14.07/10.17 tff(20210,plain,
% 14.07/10.17 ((~((~v102(constB144)) <=> v104(constB144))) | v102(constB144) | v104(constB144)),
% 14.07/10.17 inference(tautology,[status(thm)],[])).
% 14.07/10.17 tff(20211,plain,
% 14.07/10.17 (v102(constB144)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20210, 20209, 20199])).
% 14.07/10.17 tff(20212,plain,
% 14.07/10.17 (v1(constB144) <=> v1(constB144)),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20213,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144')).
% 14.07/10.17 tff(20214,plain,
% 14.07/10.17 (v1(constB144)),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20213, 20212])).
% 14.07/10.17 tff(20215,plain,
% 14.07/10.17 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v1(constB144)) | (~v102(constB144))),
% 14.07/10.17 inference(tautology,[status(thm)],[])).
% 14.07/10.17 tff(20216,plain,
% 14.07/10.17 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v102(constB144))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20215, 20214])).
% 14.07/10.17 tff(20217,plain,
% 14.07/10.17 (~((~v1(constB144)) | (~v102(constB144)))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20216, 20211])).
% 14.07/10.17 tff(20218,plain,
% 14.07/10.17 ((~(v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))) | v101(constB144) | ((~v1(constB144)) | (~v102(constB144)))),
% 14.07/10.17 inference(tautology,[status(thm)],[])).
% 14.07/10.17 tff(20219,plain,
% 14.07/10.17 (v101(constB144)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20218, 20217, 20195])).
% 14.07/10.17 tff(20220,plain,
% 14.07/10.17 (((~![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)))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20221,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20222,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20221, 20220])).
% 14.07/10.17 tff(20223,plain,
% 14.07/10.17 (v110(constB144) <=> v108(constB143)),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20222, 20184, 722])).
% 14.07/10.17 tff(20224,plain,
% 14.07/10.17 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB143) <=> (v111(constB143) | v112(constB143)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20225,plain,
% 14.07/10.17 (v108(constB143) <=> (v111(constB143) | v112(constB143))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20224, 733])).
% 14.07/10.17 tff(20226,plain,
% 14.07/10.17 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20227,plain,
% 14.07/10.17 (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143))))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20226, 745])).
% 14.07/10.17 tff(20228,plain,
% 14.07/10.17 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB143) <=> (v114(constB143) | v125(constB143)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20229,plain,
% 14.07/10.17 (v113(constB143) <=> (v114(constB143) | v125(constB143))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20228, 754])).
% 14.07/10.17 tff(20230,plain,
% 14.07/10.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB143) <=> (v115(constB143) | v124(constB143)))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20231,plain,
% 14.07/10.17 (v114(constB143) <=> (v115(constB143) | v124(constB143))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20230, 763])).
% 14.07/10.17 tff(20232,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20233,plain,
% 14.07/10.17 ((v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2))))) <=> (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20234,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(monotonicity,[status(thm)],[20233])).
% 14.07/10.17 tff(20235,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(transitivity,[status(thm)],[20234, 20232])).
% 14.07/10.17 tff(20236,plain,
% 14.07/10.17 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20237,plain,
% 14.07/10.17 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20236, 20235])).
% 14.07/10.17 tff(20238,plain,
% 14.07/10.17 (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))))),
% 14.07/10.17 inference(unit_resolution,[status(thm)],[20237, 2651])).
% 14.07/10.17 tff(20239,plain,
% 14.07/10.17 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20240,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142')).
% 14.07/10.17 tff(20241,plain,
% 14.07/10.17 (nextState(constB142, constB143)),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20240, 20239])).
% 14.07/10.17 tff(20242,plain,
% 14.07/10.17 (((~![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))))))),
% 14.07/10.17 inference(rewrite,[status(thm)],[])).
% 14.07/10.17 tff(20243,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 14.07/10.17 inference(quant_inst,[status(thm)],[])).
% 14.07/10.17 tff(20244,plain,
% 14.07/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))),
% 14.07/10.17 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 14.07/10.18 tff(20245,plain,
% 14.07/10.18 (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20244, 20241, 596])).
% 14.07/10.18 tff(20246,plain,
% 14.07/10.18 (((~![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))))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20247,plain,
% 14.07/10.18 (((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20248,plain,
% 14.07/10.18 (((~![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)))))))),
% 14.07/10.18 inference(monotonicity,[status(thm)],[20247])).
% 14.07/10.18 tff(20249,plain,
% 14.07/10.18 (((~![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))))))),
% 14.07/10.18 inference(transitivity,[status(thm)],[20248, 20246])).
% 14.07/10.18 tff(20250,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20251,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20250, 20249])).
% 14.07/10.18 tff(20252,plain,
% 14.07/10.18 (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20251, 20241, 616])).
% 14.07/10.18 tff(20253,plain,
% 14.07/10.18 (((~v1(constB143)) | (~v102(constB143))) | v1(constB143)),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20254,plain,
% 14.07/10.18 ((~v1(constB143)) | (~v102(constB143))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20253, 20206])).
% 14.07/10.18 tff(20255,plain,
% 14.07/10.18 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143)) | (~((~v1(constB143)) | (~v102(constB143))))),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20256,plain,
% 14.07/10.18 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20255, 20254])).
% 14.07/10.18 tff(20257,plain,
% 14.07/10.18 (~v101(constB143)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20256, 20252])).
% 14.07/10.18 tff(20258,plain,
% 14.07/10.18 (((~v101(constB143)) | (~v110(constB143))) | v101(constB143)),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20259,plain,
% 14.07/10.18 ((~v101(constB143)) | (~v110(constB143))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20258, 20257])).
% 14.07/10.18 tff(20260,plain,
% 14.07/10.18 ((~(v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))) | (~v100(constB143)) | (~((~v101(constB143)) | (~v110(constB143))))),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20261,plain,
% 14.07/10.18 (~v100(constB143)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20260, 20259, 20245])).
% 14.07/10.18 tff(20262,plain,
% 14.07/10.18 (((~![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))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20263,plain,
% 14.07/10.18 ((~![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))))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20264,plain,
% 14.07/10.18 ((~![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)))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20263, 20262])).
% 14.07/10.18 tff(20265,plain,
% 14.07/10.18 (v100(constB143) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20264, 20241, 645])).
% 14.07/10.18 tff(20266,plain,
% 14.07/10.18 (![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20265, 20261])).
% 14.07/10.18 tff(20267,plain,
% 14.07/10.18 (((~![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)))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20268,plain,
% 14.07/10.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20269,plain,
% 14.07/10.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 14.07/10.18 tff(20270,plain,
% 14.07/10.18 (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20269, 579, 20266])).
% 14.07/10.18 tff(20271,plain,
% 14.07/10.18 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20272,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141')).
% 14.07/10.18 tff(20273,plain,
% 14.07/10.18 (nextState(constB141, constB142)),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20272, 20271])).
% 14.07/10.18 tff(20274,plain,
% 14.07/10.18 (((~![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))))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20275,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20276,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20275, 20274])).
% 14.07/10.18 tff(20277,plain,
% 14.07/10.18 (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20276, 20273, 596])).
% 14.07/10.18 tff(20278,plain,
% 14.07/10.18 (((~![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))))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20279,plain,
% 14.07/10.18 (((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20280,plain,
% 14.07/10.18 (((~![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)))))))),
% 14.07/10.18 inference(monotonicity,[status(thm)],[20279])).
% 14.07/10.18 tff(20281,plain,
% 14.07/10.18 (((~![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))))))),
% 14.07/10.18 inference(transitivity,[status(thm)],[20280, 20278])).
% 14.07/10.18 tff(20282,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20283,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20282, 20281])).
% 14.07/10.18 tff(20284,plain,
% 14.07/10.18 (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20283, 20273, 616])).
% 14.07/10.18 tff(20285,plain,
% 14.07/10.18 (((~![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)))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20286,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20287,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 14.07/10.18 tff(20288,plain,
% 14.07/10.18 ((~v102(constB142)) <=> v104(constB142)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20287, 20273, 678])).
% 14.07/10.18 tff(20289,plain,
% 14.07/10.18 (((~![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)))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20290,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20291,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20290, 20289])).
% 14.07/10.18 tff(20292,plain,
% 14.07/10.18 (v104(constB142) <=> v1(constB141)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20291, 20273, 692])).
% 14.07/10.18 tff(20293,plain,
% 14.07/10.18 ((~v1(constB141)) <=> (~v1(constB141))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20294,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141')).
% 14.07/10.18 tff(20295,plain,
% 14.07/10.18 (~v1(constB141)),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 14.07/10.18 tff(20296,plain,
% 14.07/10.18 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142)) | v1(constB141)),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20297,plain,
% 14.07/10.18 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20296, 20295])).
% 14.07/10.18 tff(20298,plain,
% 14.07/10.18 (~v104(constB142)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20297, 20292])).
% 14.07/10.18 tff(20299,plain,
% 14.07/10.18 ((~((~v102(constB142)) <=> v104(constB142))) | v102(constB142) | v104(constB142)),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20300,plain,
% 14.07/10.18 (v102(constB142)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20299, 20298, 20288])).
% 14.07/10.18 tff(20301,plain,
% 14.07/10.18 (v1(constB142) <=> v1(constB142)),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20302,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142')).
% 14.07/10.18 tff(20303,plain,
% 14.07/10.18 (v1(constB142)),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 14.07/10.18 tff(20304,plain,
% 14.07/10.18 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v1(constB142)) | (~v102(constB142))),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20305,plain,
% 14.07/10.18 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v102(constB142))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20304, 20303])).
% 14.07/10.18 tff(20306,plain,
% 14.07/10.18 (~((~v1(constB142)) | (~v102(constB142)))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20305, 20300])).
% 14.07/10.18 tff(20307,plain,
% 14.07/10.18 ((~(v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))) | v101(constB142) | ((~v1(constB142)) | (~v102(constB142)))),
% 14.07/10.18 inference(tautology,[status(thm)],[])).
% 14.07/10.18 tff(20308,plain,
% 14.07/10.18 (v101(constB142)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20307, 20306, 20284])).
% 14.07/10.18 tff(20309,plain,
% 14.07/10.18 (((~![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)))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20310,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20311,plain,
% 14.07/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141))),
% 14.07/10.18 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 14.07/10.18 tff(20312,plain,
% 14.07/10.18 (v110(constB142) <=> v108(constB141)),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20311, 20273, 722])).
% 14.07/10.18 tff(20313,plain,
% 14.07/10.18 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB141) <=> (v111(constB141) | v112(constB141)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20314,plain,
% 14.07/10.18 (v108(constB141) <=> (v111(constB141) | v112(constB141))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20313, 733])).
% 14.07/10.18 tff(20315,plain,
% 14.07/10.18 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20316,plain,
% 14.07/10.18 (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141))))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20315, 745])).
% 14.07/10.18 tff(20317,plain,
% 14.07/10.18 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB141) <=> (v114(constB141) | v125(constB141)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20318,plain,
% 14.07/10.18 (v113(constB141) <=> (v114(constB141) | v125(constB141))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20317, 754])).
% 14.07/10.18 tff(20319,plain,
% 14.07/10.18 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB141) <=> (v115(constB141) | v124(constB141)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20320,plain,
% 14.07/10.18 (v114(constB141) <=> (v115(constB141) | v124(constB141))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20319, 763])).
% 14.07/10.18 tff(20321,plain,
% 14.07/10.18 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB141) <=> (v116(constB141) | v123(constB141)))),
% 14.07/10.18 inference(quant_inst,[status(thm)],[])).
% 14.07/10.18 tff(20322,plain,
% 14.07/10.18 (v115(constB141) <=> (v116(constB141) | v123(constB141))),
% 14.07/10.18 inference(unit_resolution,[status(thm)],[20321, 772])).
% 14.07/10.18 tff(20323,plain,
% 14.07/10.18 (((~![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)))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20324,plain,
% 14.07/10.18 ((v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2))))) <=> (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))),
% 14.07/10.18 inference(rewrite,[status(thm)],[])).
% 14.07/10.18 tff(20325,plain,
% 14.07/10.18 (((~![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)))))),
% 14.07/10.19 inference(monotonicity,[status(thm)],[20324])).
% 14.07/10.19 tff(20326,plain,
% 14.07/10.19 (((~![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)))))),
% 14.07/10.19 inference(transitivity,[status(thm)],[20325, 20323])).
% 14.07/10.19 tff(20327,plain,
% 14.07/10.19 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20328,plain,
% 14.07/10.19 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20327, 20326])).
% 14.07/10.19 tff(20329,plain,
% 14.07/10.19 (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20328, 787])).
% 14.07/10.19 tff(20330,plain,
% 14.07/10.19 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20331,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140')).
% 14.07/10.19 tff(20332,plain,
% 14.07/10.19 (nextState(constB140, constB141)),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20331, 20330])).
% 14.07/10.19 tff(20333,plain,
% 14.07/10.19 (((~![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))))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20334,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20335,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 14.07/10.19 tff(20336,plain,
% 14.07/10.19 (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20335, 20332, 596])).
% 14.07/10.19 tff(20337,plain,
% 14.07/10.19 (((~![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))))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20338,plain,
% 14.07/10.19 (((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20339,plain,
% 14.07/10.19 (((~![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)))))))),
% 14.07/10.19 inference(monotonicity,[status(thm)],[20338])).
% 14.07/10.19 tff(20340,plain,
% 14.07/10.19 (((~![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))))))),
% 14.07/10.19 inference(transitivity,[status(thm)],[20339, 20337])).
% 14.07/10.19 tff(20341,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20342,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 14.07/10.19 tff(20343,plain,
% 14.07/10.19 (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20342, 20332, 616])).
% 14.07/10.19 tff(20344,plain,
% 14.07/10.19 (((~v1(constB141)) | (~v102(constB141))) | v1(constB141)),
% 14.07/10.19 inference(tautology,[status(thm)],[])).
% 14.07/10.19 tff(20345,plain,
% 14.07/10.19 ((~v1(constB141)) | (~v102(constB141))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20344, 20295])).
% 14.07/10.19 tff(20346,plain,
% 14.07/10.19 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141)) | (~((~v1(constB141)) | (~v102(constB141))))),
% 14.07/10.19 inference(tautology,[status(thm)],[])).
% 14.07/10.19 tff(20347,plain,
% 14.07/10.19 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20346, 20345])).
% 14.07/10.19 tff(20348,plain,
% 14.07/10.19 (~v101(constB141)),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20347, 20343])).
% 14.07/10.19 tff(20349,plain,
% 14.07/10.19 (((~v101(constB141)) | (~v110(constB141))) | v101(constB141)),
% 14.07/10.19 inference(tautology,[status(thm)],[])).
% 14.07/10.19 tff(20350,plain,
% 14.07/10.19 ((~v101(constB141)) | (~v110(constB141))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20349, 20348])).
% 14.07/10.19 tff(20351,plain,
% 14.07/10.19 ((~(v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))) | (~v100(constB141)) | (~((~v101(constB141)) | (~v110(constB141))))),
% 14.07/10.19 inference(tautology,[status(thm)],[])).
% 14.07/10.19 tff(20352,plain,
% 14.07/10.19 (~v100(constB141)),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20351, 20350, 20336])).
% 14.07/10.19 tff(20353,plain,
% 14.07/10.19 (((~![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))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20354,plain,
% 14.07/10.19 ((~![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))))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20355,plain,
% 14.07/10.19 ((~![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)))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 14.07/10.19 tff(20356,plain,
% 14.07/10.19 (v100(constB141) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20355, 20332, 645])).
% 14.07/10.19 tff(20357,plain,
% 14.07/10.19 (![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20356, 20352])).
% 14.07/10.19 tff(20358,plain,
% 14.07/10.19 (((~![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)))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20359,plain,
% 14.07/10.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20360,plain,
% 14.07/10.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 14.07/10.19 tff(20361,plain,
% 14.07/10.19 (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20360, 579, 20357])).
% 14.07/10.19 tff(20362,plain,
% 14.07/10.19 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20363,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139')).
% 14.07/10.19 tff(20364,plain,
% 14.07/10.19 (nextState(constB139, constB140)),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 14.07/10.19 tff(20365,plain,
% 14.07/10.19 (((~![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))))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20366,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20367,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20366, 20365])).
% 14.07/10.19 tff(20368,plain,
% 14.07/10.19 (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20367, 20364, 596])).
% 14.07/10.19 tff(20369,plain,
% 14.07/10.19 (((~![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))))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20370,plain,
% 14.07/10.19 (((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20371,plain,
% 14.07/10.19 (((~![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)))))))),
% 14.07/10.19 inference(monotonicity,[status(thm)],[20370])).
% 14.07/10.19 tff(20372,plain,
% 14.07/10.19 (((~![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))))))),
% 14.07/10.19 inference(transitivity,[status(thm)],[20371, 20369])).
% 14.07/10.19 tff(20373,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20374,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20373, 20372])).
% 14.07/10.19 tff(20375,plain,
% 14.07/10.19 (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20374, 20364, 616])).
% 14.07/10.19 tff(20376,plain,
% 14.07/10.19 (((~![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)))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20377,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20378,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 14.07/10.19 tff(20379,plain,
% 14.07/10.19 ((~v102(constB140)) <=> v104(constB140)),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20378, 20364, 678])).
% 14.07/10.19 tff(20380,plain,
% 14.07/10.19 (((~![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)))),
% 14.07/10.19 inference(rewrite,[status(thm)],[])).
% 14.07/10.19 tff(20381,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 14.07/10.19 inference(quant_inst,[status(thm)],[])).
% 14.07/10.19 tff(20382,plain,
% 14.07/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139))),
% 14.07/10.19 inference(modus_ponens,[status(thm)],[20381, 20380])).
% 14.07/10.19 tff(20383,plain,
% 14.07/10.19 (v104(constB140) <=> v1(constB139)),
% 14.07/10.19 inference(unit_resolution,[status(thm)],[20382, 20364, 692])).
% 14.07/10.20 tff(20384,plain,
% 14.07/10.20 ((~v1(constB139)) <=> (~v1(constB139))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20385,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139')).
% 14.07/10.20 tff(20386,plain,
% 14.07/10.20 (~v1(constB139)),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20385, 20384])).
% 14.07/10.20 tff(20387,plain,
% 14.07/10.20 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140)) | v1(constB139)),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20388,plain,
% 14.07/10.20 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20387, 20386])).
% 14.07/10.20 tff(20389,plain,
% 14.07/10.20 (~v104(constB140)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20388, 20383])).
% 14.07/10.20 tff(20390,plain,
% 14.07/10.20 ((~((~v102(constB140)) <=> v104(constB140))) | v102(constB140) | v104(constB140)),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20391,plain,
% 14.07/10.20 (v102(constB140)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20390, 20389, 20379])).
% 14.07/10.20 tff(20392,plain,
% 14.07/10.20 (v1(constB140) <=> v1(constB140)),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20393,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140')).
% 14.07/10.20 tff(20394,plain,
% 14.07/10.20 (v1(constB140)),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 14.07/10.20 tff(20395,plain,
% 14.07/10.20 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v1(constB140)) | (~v102(constB140))),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20396,plain,
% 14.07/10.20 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v102(constB140))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20395, 20394])).
% 14.07/10.20 tff(20397,plain,
% 14.07/10.20 (~((~v1(constB140)) | (~v102(constB140)))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20396, 20391])).
% 14.07/10.20 tff(20398,plain,
% 14.07/10.20 ((~(v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))) | v101(constB140) | ((~v1(constB140)) | (~v102(constB140)))),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20399,plain,
% 14.07/10.20 (v101(constB140)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20398, 20397, 20375])).
% 14.07/10.20 tff(20400,plain,
% 14.07/10.20 (((~![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)))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20401,plain,
% 14.07/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20402,plain,
% 14.07/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139))),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 14.07/10.20 tff(20403,plain,
% 14.07/10.20 (v110(constB140) <=> v108(constB139)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20402, 20364, 722])).
% 14.07/10.20 tff(20404,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB139) <=> (v111(constB139) | v112(constB139)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20405,plain,
% 14.07/10.20 (v108(constB139) <=> (v111(constB139) | v112(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20404, 733])).
% 14.07/10.20 tff(20406,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20407,plain,
% 14.07/10.20 (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139))))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20406, 745])).
% 14.07/10.20 tff(20408,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB139) <=> (v114(constB139) | v125(constB139)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20409,plain,
% 14.07/10.20 (v113(constB139) <=> (v114(constB139) | v125(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20408, 754])).
% 14.07/10.20 tff(20410,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB139) <=> (v115(constB139) | v124(constB139)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20411,plain,
% 14.07/10.20 (v114(constB139) <=> (v115(constB139) | v124(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20410, 763])).
% 14.07/10.20 tff(20412,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB139) <=> (v116(constB139) | v123(constB139)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20413,plain,
% 14.07/10.20 (v115(constB139) <=> (v116(constB139) | v123(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20412, 772])).
% 14.07/10.20 tff(20414,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB139) <=> (v117(constB139) | v122(constB139)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20415,plain,
% 14.07/10.20 (v116(constB139) <=> (v117(constB139) | v122(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20414, 885])).
% 14.07/10.20 tff(20416,plain,
% 14.07/10.20 (((~![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))))))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20417,plain,
% 14.07/10.20 ((v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1))))) <=> (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20418,plain,
% 14.07/10.20 (((~![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))))))),
% 14.07/10.20 inference(monotonicity,[status(thm)],[20417])).
% 14.07/10.20 tff(20419,plain,
% 14.07/10.20 (((~![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))))))),
% 14.07/10.20 inference(transitivity,[status(thm)],[20418, 20416])).
% 14.07/10.20 tff(20420,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20421,plain,
% 14.07/10.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20420, 20419])).
% 14.07/10.20 tff(20422,plain,
% 14.07/10.20 (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20421, 900])).
% 14.07/10.20 tff(20423,plain,
% 14.07/10.20 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20424,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138')).
% 14.07/10.20 tff(20425,plain,
% 14.07/10.20 (nextState(constB138, constB139)),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 14.07/10.20 tff(20426,plain,
% 14.07/10.20 (((~![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))))))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20427,plain,
% 14.07/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20428,plain,
% 14.07/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20427, 20426])).
% 14.07/10.20 tff(20429,plain,
% 14.07/10.20 (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20428, 20425, 596])).
% 14.07/10.20 tff(20430,plain,
% 14.07/10.20 (((~![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))))))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20431,plain,
% 14.07/10.20 (((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20432,plain,
% 14.07/10.20 (((~![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)))))))),
% 14.07/10.20 inference(monotonicity,[status(thm)],[20431])).
% 14.07/10.20 tff(20433,plain,
% 14.07/10.20 (((~![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))))))),
% 14.07/10.20 inference(transitivity,[status(thm)],[20432, 20430])).
% 14.07/10.20 tff(20434,plain,
% 14.07/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20435,plain,
% 14.07/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20434, 20433])).
% 14.07/10.20 tff(20436,plain,
% 14.07/10.20 (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20435, 20425, 616])).
% 14.07/10.20 tff(20437,plain,
% 14.07/10.20 (((~v1(constB139)) | (~v102(constB139))) | v1(constB139)),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20438,plain,
% 14.07/10.20 ((~v1(constB139)) | (~v102(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20437, 20386])).
% 14.07/10.20 tff(20439,plain,
% 14.07/10.20 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139)) | (~((~v1(constB139)) | (~v102(constB139))))),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20440,plain,
% 14.07/10.20 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20439, 20438])).
% 14.07/10.20 tff(20441,plain,
% 14.07/10.20 (~v101(constB139)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20440, 20436])).
% 14.07/10.20 tff(20442,plain,
% 14.07/10.20 (((~v101(constB139)) | (~v110(constB139))) | v101(constB139)),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20443,plain,
% 14.07/10.20 ((~v101(constB139)) | (~v110(constB139))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20442, 20441])).
% 14.07/10.20 tff(20444,plain,
% 14.07/10.20 ((~(v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))) | (~v100(constB139)) | (~((~v101(constB139)) | (~v110(constB139))))),
% 14.07/10.20 inference(tautology,[status(thm)],[])).
% 14.07/10.20 tff(20445,plain,
% 14.07/10.20 (~v100(constB139)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20444, 20443, 20429])).
% 14.07/10.20 tff(20446,plain,
% 14.07/10.20 (((~![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))))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20447,plain,
% 14.07/10.20 ((~![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))))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20448,plain,
% 14.07/10.20 ((~![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)))),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 14.07/10.20 tff(20449,plain,
% 14.07/10.20 (v100(constB139) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20448, 20425, 645])).
% 14.07/10.20 tff(20450,plain,
% 14.07/10.20 (![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20449, 20445])).
% 14.07/10.20 tff(20451,plain,
% 14.07/10.20 (((~![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)))),
% 14.07/10.20 inference(rewrite,[status(thm)],[])).
% 14.07/10.20 tff(20452,plain,
% 14.07/10.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))),
% 14.07/10.20 inference(quant_inst,[status(thm)],[])).
% 14.07/10.20 tff(20453,plain,
% 14.07/10.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2))),
% 14.07/10.20 inference(modus_ponens,[status(thm)],[20452, 20451])).
% 14.07/10.20 tff(20454,plain,
% 14.07/10.20 (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)),
% 14.07/10.20 inference(unit_resolution,[status(thm)],[20453, 579, 20450])).
% 14.07/10.21 tff(20455,plain,
% 14.07/10.21 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20456,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137')).
% 14.07/10.21 tff(20457,plain,
% 14.07/10.21 (nextState(constB137, constB138)),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20456, 20455])).
% 14.07/10.21 tff(20458,plain,
% 14.07/10.21 (((~![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))))))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20459,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20460,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 14.07/10.21 tff(20461,plain,
% 14.07/10.21 (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20460, 20457, 596])).
% 14.07/10.21 tff(20462,plain,
% 14.07/10.21 (((~![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))))))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20463,plain,
% 14.07/10.21 (((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20464,plain,
% 14.07/10.21 (((~![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)))))))),
% 14.07/10.21 inference(monotonicity,[status(thm)],[20463])).
% 14.07/10.21 tff(20465,plain,
% 14.07/10.21 (((~![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))))))),
% 14.07/10.21 inference(transitivity,[status(thm)],[20464, 20462])).
% 14.07/10.21 tff(20466,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20467,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 14.07/10.21 tff(20468,plain,
% 14.07/10.21 (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20467, 20457, 616])).
% 14.07/10.21 tff(20469,plain,
% 14.07/10.21 (((~![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)))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20470,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20471,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20470, 20469])).
% 14.07/10.21 tff(20472,plain,
% 14.07/10.21 ((~v102(constB138)) <=> v104(constB138)),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20471, 20457, 678])).
% 14.07/10.21 tff(20473,plain,
% 14.07/10.21 (((~![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)))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20474,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20475,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 14.07/10.21 tff(20476,plain,
% 14.07/10.21 (v104(constB138) <=> v1(constB137)),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20475, 20457, 692])).
% 14.07/10.21 tff(20477,plain,
% 14.07/10.21 ((~v1(constB137)) <=> (~v1(constB137))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20478,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137')).
% 14.07/10.21 tff(20479,plain,
% 14.07/10.21 (~v1(constB137)),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20478, 20477])).
% 14.07/10.21 tff(20480,plain,
% 14.07/10.21 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138)) | v1(constB137)),
% 14.07/10.21 inference(tautology,[status(thm)],[])).
% 14.07/10.21 tff(20481,plain,
% 14.07/10.21 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20480, 20479])).
% 14.07/10.21 tff(20482,plain,
% 14.07/10.21 (~v104(constB138)),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20481, 20476])).
% 14.07/10.21 tff(20483,plain,
% 14.07/10.21 ((~((~v102(constB138)) <=> v104(constB138))) | v102(constB138) | v104(constB138)),
% 14.07/10.21 inference(tautology,[status(thm)],[])).
% 14.07/10.21 tff(20484,plain,
% 14.07/10.21 (v102(constB138)),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20483, 20482, 20472])).
% 14.07/10.21 tff(20485,plain,
% 14.07/10.21 (v1(constB138) <=> v1(constB138)),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20486,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138')).
% 14.07/10.21 tff(20487,plain,
% 14.07/10.21 (v1(constB138)),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20486, 20485])).
% 14.07/10.21 tff(20488,plain,
% 14.07/10.21 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v1(constB138)) | (~v102(constB138))),
% 14.07/10.21 inference(tautology,[status(thm)],[])).
% 14.07/10.21 tff(20489,plain,
% 14.07/10.21 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v102(constB138))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20488, 20487])).
% 14.07/10.21 tff(20490,plain,
% 14.07/10.21 (~((~v1(constB138)) | (~v102(constB138)))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20489, 20484])).
% 14.07/10.21 tff(20491,plain,
% 14.07/10.21 ((~(v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))) | v101(constB138) | ((~v1(constB138)) | (~v102(constB138)))),
% 14.07/10.21 inference(tautology,[status(thm)],[])).
% 14.07/10.21 tff(20492,plain,
% 14.07/10.21 (v101(constB138)),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20491, 20490, 20468])).
% 14.07/10.21 tff(20493,plain,
% 14.07/10.21 (((~![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)))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20494,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20495,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 14.07/10.21 tff(20496,plain,
% 14.07/10.21 (v110(constB138) <=> v108(constB137)),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20495, 20457, 722])).
% 14.07/10.21 tff(20497,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB137) <=> (v111(constB137) | v112(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20498,plain,
% 14.07/10.21 (v108(constB137) <=> (v111(constB137) | v112(constB137))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20497, 733])).
% 14.07/10.21 tff(20499,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20500,plain,
% 14.07/10.21 (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137))))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20499, 745])).
% 14.07/10.21 tff(20501,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB137) <=> (v114(constB137) | v125(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20502,plain,
% 14.07/10.21 (v113(constB137) <=> (v114(constB137) | v125(constB137))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20501, 754])).
% 14.07/10.21 tff(20503,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB137) <=> (v115(constB137) | v124(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20504,plain,
% 14.07/10.21 (v114(constB137) <=> (v115(constB137) | v124(constB137))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20503, 763])).
% 14.07/10.21 tff(20505,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB137) <=> (v116(constB137) | v123(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20506,plain,
% 14.07/10.21 (v115(constB137) <=> (v116(constB137) | v123(constB137))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20505, 772])).
% 14.07/10.21 tff(20507,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB137) <=> (v117(constB137) | v122(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20508,plain,
% 14.07/10.21 (v116(constB137) <=> (v117(constB137) | v122(constB137))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20507, 885])).
% 14.07/10.21 tff(20509,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB137) <=> (v118(constB137) | v121(constB137)))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20510,plain,
% 14.07/10.21 (v117(constB137) <=> (v118(constB137) | v121(constB137))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20509, 1000])).
% 14.07/10.21 tff(20511,plain,
% 14.07/10.21 (((~![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)))))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20512,plain,
% 14.07/10.21 ((v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1))))) <=> (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20513,plain,
% 14.07/10.21 (((~![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)))))),
% 14.07/10.21 inference(monotonicity,[status(thm)],[20512])).
% 14.07/10.21 tff(20514,plain,
% 14.07/10.21 (((~![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)))))),
% 14.07/10.21 inference(transitivity,[status(thm)],[20513, 20511])).
% 14.07/10.21 tff(20515,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20516,plain,
% 14.07/10.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20515, 20514])).
% 14.07/10.21 tff(20517,plain,
% 14.07/10.21 (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)))),
% 14.07/10.21 inference(unit_resolution,[status(thm)],[20516, 1015])).
% 14.07/10.21 tff(20518,plain,
% 14.07/10.21 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20519,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136')).
% 14.07/10.21 tff(20520,plain,
% 14.07/10.21 (nextState(constB136, constB137)),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20519, 20518])).
% 14.07/10.21 tff(20521,plain,
% 14.07/10.21 (((~![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))))))),
% 14.07/10.21 inference(rewrite,[status(thm)],[])).
% 14.07/10.21 tff(20522,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 14.07/10.21 inference(quant_inst,[status(thm)],[])).
% 14.07/10.21 tff(20523,plain,
% 14.07/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))),
% 14.07/10.21 inference(modus_ponens,[status(thm)],[20522, 20521])).
% 14.16/10.22 tff(20524,plain,
% 14.16/10.22 (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20523, 20520, 596])).
% 14.16/10.22 tff(20525,plain,
% 14.16/10.22 (((~![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))))))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20526,plain,
% 14.16/10.22 (((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20527,plain,
% 14.16/10.22 (((~![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)))))))),
% 14.16/10.22 inference(monotonicity,[status(thm)],[20526])).
% 14.16/10.22 tff(20528,plain,
% 14.16/10.22 (((~![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))))))),
% 14.16/10.22 inference(transitivity,[status(thm)],[20527, 20525])).
% 14.16/10.22 tff(20529,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20530,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20529, 20528])).
% 14.16/10.22 tff(20531,plain,
% 14.16/10.22 (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20530, 20520, 616])).
% 14.16/10.22 tff(20532,plain,
% 14.16/10.22 (((~v1(constB137)) | (~v102(constB137))) | v1(constB137)),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20533,plain,
% 14.16/10.22 ((~v1(constB137)) | (~v102(constB137))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20532, 20479])).
% 14.16/10.22 tff(20534,plain,
% 14.16/10.22 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137)) | (~((~v1(constB137)) | (~v102(constB137))))),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20535,plain,
% 14.16/10.22 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20534, 20533])).
% 14.16/10.22 tff(20536,plain,
% 14.16/10.22 (~v101(constB137)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20535, 20531])).
% 14.16/10.22 tff(20537,plain,
% 14.16/10.22 (((~v101(constB137)) | (~v110(constB137))) | v101(constB137)),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20538,plain,
% 14.16/10.22 ((~v101(constB137)) | (~v110(constB137))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20537, 20536])).
% 14.16/10.22 tff(20539,plain,
% 14.16/10.22 ((~(v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))) | (~v100(constB137)) | (~((~v101(constB137)) | (~v110(constB137))))),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20540,plain,
% 14.16/10.22 (~v100(constB137)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20539, 20538, 20524])).
% 14.16/10.22 tff(20541,plain,
% 14.16/10.22 (((~![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))))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20542,plain,
% 14.16/10.22 ((~![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))))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20543,plain,
% 14.16/10.22 ((~![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)))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 14.16/10.22 tff(20544,plain,
% 14.16/10.22 (v100(constB137) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20543, 20520, 645])).
% 14.16/10.22 tff(20545,plain,
% 14.16/10.22 (![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20544, 20540])).
% 14.16/10.22 tff(20546,plain,
% 14.16/10.22 (((~![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)))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20547,plain,
% 14.16/10.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20548,plain,
% 14.16/10.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20547, 20546])).
% 14.16/10.22 tff(20549,plain,
% 14.16/10.22 (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20548, 579, 20545])).
% 14.16/10.22 tff(20550,plain,
% 14.16/10.22 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20551,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135')).
% 14.16/10.22 tff(20552,plain,
% 14.16/10.22 (nextState(constB135, constB136)),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20551, 20550])).
% 14.16/10.22 tff(20553,plain,
% 14.16/10.22 (((~![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))))))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20554,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20555,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 14.16/10.22 tff(20556,plain,
% 14.16/10.22 (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20555, 20552, 596])).
% 14.16/10.22 tff(20557,plain,
% 14.16/10.22 (((~![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))))))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20558,plain,
% 14.16/10.22 (((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20559,plain,
% 14.16/10.22 (((~![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)))))))),
% 14.16/10.22 inference(monotonicity,[status(thm)],[20558])).
% 14.16/10.22 tff(20560,plain,
% 14.16/10.22 (((~![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))))))),
% 14.16/10.22 inference(transitivity,[status(thm)],[20559, 20557])).
% 14.16/10.22 tff(20561,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20562,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 14.16/10.22 tff(20563,plain,
% 14.16/10.22 (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20562, 20552, 616])).
% 14.16/10.22 tff(20564,plain,
% 14.16/10.22 (((~![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)))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20565,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20566,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20565, 20564])).
% 14.16/10.22 tff(20567,plain,
% 14.16/10.22 ((~v102(constB136)) <=> v104(constB136)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20566, 20552, 678])).
% 14.16/10.22 tff(20568,plain,
% 14.16/10.22 (((~![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)))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20569,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20570,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 14.16/10.22 tff(20571,plain,
% 14.16/10.22 (v104(constB136) <=> v1(constB135)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20570, 20552, 692])).
% 14.16/10.22 tff(20572,plain,
% 14.16/10.22 ((~v1(constB135)) <=> (~v1(constB135))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20573,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135')).
% 14.16/10.22 tff(20574,plain,
% 14.16/10.22 (~v1(constB135)),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 14.16/10.22 tff(20575,plain,
% 14.16/10.22 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136)) | v1(constB135)),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20576,plain,
% 14.16/10.22 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20575, 20574])).
% 14.16/10.22 tff(20577,plain,
% 14.16/10.22 (~v104(constB136)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20576, 20571])).
% 14.16/10.22 tff(20578,plain,
% 14.16/10.22 ((~((~v102(constB136)) <=> v104(constB136))) | v102(constB136) | v104(constB136)),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20579,plain,
% 14.16/10.22 (v102(constB136)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20578, 20577, 20567])).
% 14.16/10.22 tff(20580,plain,
% 14.16/10.22 (v1(constB136) <=> v1(constB136)),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20581,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136')).
% 14.16/10.22 tff(20582,plain,
% 14.16/10.22 (v1(constB136)),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 14.16/10.22 tff(20583,plain,
% 14.16/10.22 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v1(constB136)) | (~v102(constB136))),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20584,plain,
% 14.16/10.22 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v102(constB136))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20583, 20582])).
% 14.16/10.22 tff(20585,plain,
% 14.16/10.22 (~((~v1(constB136)) | (~v102(constB136)))),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20584, 20579])).
% 14.16/10.22 tff(20586,plain,
% 14.16/10.22 ((~(v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))) | v101(constB136) | ((~v1(constB136)) | (~v102(constB136)))),
% 14.16/10.22 inference(tautology,[status(thm)],[])).
% 14.16/10.22 tff(20587,plain,
% 14.16/10.22 (v101(constB136)),
% 14.16/10.22 inference(unit_resolution,[status(thm)],[20586, 20585, 20563])).
% 14.16/10.22 tff(20588,plain,
% 14.16/10.22 (((~![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)))),
% 14.16/10.22 inference(rewrite,[status(thm)],[])).
% 14.16/10.22 tff(20589,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 14.16/10.22 inference(quant_inst,[status(thm)],[])).
% 14.16/10.22 tff(20590,plain,
% 14.16/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135))),
% 14.16/10.22 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 14.16/10.22 tff(20591,plain,
% 14.16/10.23 (v110(constB136) <=> v108(constB135)),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20590, 20552, 722])).
% 14.16/10.23 tff(20592,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB135) <=> (v111(constB135) | v112(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20593,plain,
% 14.16/10.23 (v108(constB135) <=> (v111(constB135) | v112(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20592, 733])).
% 14.16/10.23 tff(20594,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20595,plain,
% 14.16/10.23 (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135))))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20594, 745])).
% 14.16/10.23 tff(20596,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB135) <=> (v114(constB135) | v125(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20597,plain,
% 14.16/10.23 (v113(constB135) <=> (v114(constB135) | v125(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20596, 754])).
% 14.16/10.23 tff(20598,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB135) <=> (v115(constB135) | v124(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20599,plain,
% 14.16/10.23 (v114(constB135) <=> (v115(constB135) | v124(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20598, 763])).
% 14.16/10.23 tff(20600,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB135) <=> (v116(constB135) | v123(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20601,plain,
% 14.16/10.23 (v115(constB135) <=> (v116(constB135) | v123(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20600, 772])).
% 14.16/10.23 tff(20602,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB135) <=> (v117(constB135) | v122(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20603,plain,
% 14.16/10.23 (v116(constB135) <=> (v117(constB135) | v122(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20602, 885])).
% 14.16/10.23 tff(20604,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB135) <=> (v118(constB135) | v121(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20605,plain,
% 14.16/10.23 (v117(constB135) <=> (v118(constB135) | v121(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20604, 1000])).
% 14.16/10.23 tff(20606,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB135) <=> (v119(constB135) | v120(constB135)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20607,plain,
% 14.16/10.23 (v118(constB135) <=> (v119(constB135) | v120(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20606, 1117])).
% 14.16/10.23 tff(20608,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20609,plain,
% 14.16/10.23 ((v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))))) <=> (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20610,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(monotonicity,[status(thm)],[20609])).
% 14.16/10.23 tff(20611,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(transitivity,[status(thm)],[20610, 20608])).
% 14.16/10.23 tff(20612,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20613,plain,
% 14.16/10.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 14.16/10.23 tff(20614,plain,
% 14.16/10.23 (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20613, 1132])).
% 14.16/10.23 tff(20615,plain,
% 14.16/10.23 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20616,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134')).
% 14.16/10.23 tff(20617,plain,
% 14.16/10.23 (nextState(constB134, constB135)),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20616, 20615])).
% 14.16/10.23 tff(20618,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20619,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20620,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 14.16/10.23 tff(20621,plain,
% 14.16/10.23 (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20620, 20617, 596])).
% 14.16/10.23 tff(20622,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20623,plain,
% 14.16/10.23 (((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20624,plain,
% 14.16/10.23 (((~![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)))))))),
% 14.16/10.23 inference(monotonicity,[status(thm)],[20623])).
% 14.16/10.23 tff(20625,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(transitivity,[status(thm)],[20624, 20622])).
% 14.16/10.23 tff(20626,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20627,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20626, 20625])).
% 14.16/10.23 tff(20628,plain,
% 14.16/10.23 (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20627, 20617, 616])).
% 14.16/10.23 tff(20629,plain,
% 14.16/10.23 (((~v1(constB135)) | (~v102(constB135))) | v1(constB135)),
% 14.16/10.23 inference(tautology,[status(thm)],[])).
% 14.16/10.23 tff(20630,plain,
% 14.16/10.23 ((~v1(constB135)) | (~v102(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20629, 20574])).
% 14.16/10.23 tff(20631,plain,
% 14.16/10.23 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135)) | (~((~v1(constB135)) | (~v102(constB135))))),
% 14.16/10.23 inference(tautology,[status(thm)],[])).
% 14.16/10.23 tff(20632,plain,
% 14.16/10.23 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20631, 20630])).
% 14.16/10.23 tff(20633,plain,
% 14.16/10.23 (~v101(constB135)),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20632, 20628])).
% 14.16/10.23 tff(20634,plain,
% 14.16/10.23 (((~v101(constB135)) | (~v110(constB135))) | v101(constB135)),
% 14.16/10.23 inference(tautology,[status(thm)],[])).
% 14.16/10.23 tff(20635,plain,
% 14.16/10.23 ((~v101(constB135)) | (~v110(constB135))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20634, 20633])).
% 14.16/10.23 tff(20636,plain,
% 14.16/10.23 ((~(v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))) | (~v100(constB135)) | (~((~v101(constB135)) | (~v110(constB135))))),
% 14.16/10.23 inference(tautology,[status(thm)],[])).
% 14.16/10.23 tff(20637,plain,
% 14.16/10.23 (~v100(constB135)),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20636, 20635, 20621])).
% 14.16/10.23 tff(20638,plain,
% 14.16/10.23 (((~![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))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20639,plain,
% 14.16/10.23 ((~![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))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20640,plain,
% 14.16/10.23 ((~![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)))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20639, 20638])).
% 14.16/10.23 tff(20641,plain,
% 14.16/10.23 (v100(constB135) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20640, 20617, 645])).
% 14.16/10.23 tff(20642,plain,
% 14.16/10.23 (![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20641, 20637])).
% 14.16/10.23 tff(20643,plain,
% 14.16/10.23 (((~![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)))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20644,plain,
% 14.16/10.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20645,plain,
% 14.16/10.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20644, 20643])).
% 14.16/10.23 tff(20646,plain,
% 14.16/10.23 (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20645, 579, 20642])).
% 14.16/10.23 tff(20647,plain,
% 14.16/10.23 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20648,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133')).
% 14.16/10.23 tff(20649,plain,
% 14.16/10.23 (nextState(constB133, constB134)),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20648, 20647])).
% 14.16/10.23 tff(20650,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20651,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20652,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20651, 20650])).
% 14.16/10.23 tff(20653,plain,
% 14.16/10.23 (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20652, 20649, 596])).
% 14.16/10.23 tff(20654,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20655,plain,
% 14.16/10.23 (((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20656,plain,
% 14.16/10.23 (((~![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)))))))),
% 14.16/10.23 inference(monotonicity,[status(thm)],[20655])).
% 14.16/10.23 tff(20657,plain,
% 14.16/10.23 (((~![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))))))),
% 14.16/10.23 inference(transitivity,[status(thm)],[20656, 20654])).
% 14.16/10.23 tff(20658,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20659,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20658, 20657])).
% 14.16/10.23 tff(20660,plain,
% 14.16/10.23 (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))),
% 14.16/10.23 inference(unit_resolution,[status(thm)],[20659, 20649, 616])).
% 14.16/10.23 tff(20661,plain,
% 14.16/10.23 (((~![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)))),
% 14.16/10.23 inference(rewrite,[status(thm)],[])).
% 14.16/10.23 tff(20662,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 14.16/10.23 inference(quant_inst,[status(thm)],[])).
% 14.16/10.23 tff(20663,plain,
% 14.16/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134))),
% 14.16/10.23 inference(modus_ponens,[status(thm)],[20662, 20661])).
% 14.16/10.23 tff(20664,plain,
% 14.16/10.23 ((~v102(constB134)) <=> v104(constB134)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20663, 20649, 678])).
% 14.16/10.24 tff(20665,plain,
% 14.16/10.24 (((~![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)))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20666,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20667,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 14.16/10.24 tff(20668,plain,
% 14.16/10.24 (v104(constB134) <=> v1(constB133)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20667, 20649, 692])).
% 14.16/10.24 tff(20669,plain,
% 14.16/10.24 ((~v1(constB133)) <=> (~v1(constB133))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20670,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133')).
% 14.16/10.24 tff(20671,plain,
% 14.16/10.24 (~v1(constB133)),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 14.16/10.24 tff(20672,plain,
% 14.16/10.24 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134)) | v1(constB133)),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20673,plain,
% 14.16/10.24 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20672, 20671])).
% 14.16/10.24 tff(20674,plain,
% 14.16/10.24 (~v104(constB134)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20673, 20668])).
% 14.16/10.24 tff(20675,plain,
% 14.16/10.24 ((~((~v102(constB134)) <=> v104(constB134))) | v102(constB134) | v104(constB134)),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20676,plain,
% 14.16/10.24 (v102(constB134)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20675, 20674, 20664])).
% 14.16/10.24 tff(20677,plain,
% 14.16/10.24 (v1(constB134) <=> v1(constB134)),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20678,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134')).
% 14.16/10.24 tff(20679,plain,
% 14.16/10.24 (v1(constB134)),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20678, 20677])).
% 14.16/10.24 tff(20680,plain,
% 14.16/10.24 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v1(constB134)) | (~v102(constB134))),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20681,plain,
% 14.16/10.24 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v102(constB134))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20680, 20679])).
% 14.16/10.24 tff(20682,plain,
% 14.16/10.24 (~((~v1(constB134)) | (~v102(constB134)))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20681, 20676])).
% 14.16/10.24 tff(20683,plain,
% 14.16/10.24 ((~(v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))) | v101(constB134) | ((~v1(constB134)) | (~v102(constB134)))),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20684,plain,
% 14.16/10.24 (v101(constB134)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20683, 20682, 20660])).
% 14.16/10.24 tff(20685,plain,
% 14.16/10.24 (((~![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)))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20686,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20687,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 14.16/10.24 tff(20688,plain,
% 14.16/10.24 (v110(constB134) <=> v108(constB133)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20687, 20649, 722])).
% 14.16/10.24 tff(20689,plain,
% 14.16/10.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB133) <=> (v111(constB133) | v112(constB133)))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20690,plain,
% 14.16/10.24 (v108(constB133) <=> (v111(constB133) | v112(constB133))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20689, 733])).
% 14.16/10.24 tff(20691,plain,
% 14.16/10.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20692,plain,
% 14.16/10.24 (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133))))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20691, 745])).
% 14.16/10.24 tff(20693,plain,
% 14.16/10.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB133) <=> (v114(constB133) | v125(constB133)))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20694,plain,
% 14.16/10.24 (v113(constB133) <=> (v114(constB133) | v125(constB133))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20693, 754])).
% 14.16/10.24 tff(20695,plain,
% 14.16/10.24 (((~![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)))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20696,plain,
% 14.16/10.24 ((v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2))))) <=> (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20697,plain,
% 14.16/10.24 (((~![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)))))),
% 14.16/10.24 inference(monotonicity,[status(thm)],[20696])).
% 14.16/10.24 tff(20698,plain,
% 14.16/10.24 (((~![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)))))),
% 14.16/10.24 inference(transitivity,[status(thm)],[20697, 20695])).
% 14.16/10.24 tff(20699,plain,
% 14.16/10.24 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20700,plain,
% 14.16/10.24 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 14.16/10.24 tff(20701,plain,
% 14.16/10.24 (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20700, 3458])).
% 14.16/10.24 tff(20702,plain,
% 14.16/10.24 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20703,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132')).
% 14.16/10.24 tff(20704,plain,
% 14.16/10.24 (nextState(constB132, constB133)),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20703, 20702])).
% 14.16/10.24 tff(20705,plain,
% 14.16/10.24 (((~![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))))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20706,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20707,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20706, 20705])).
% 14.16/10.24 tff(20708,plain,
% 14.16/10.24 (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20707, 20704, 596])).
% 14.16/10.24 tff(20709,plain,
% 14.16/10.24 (((~![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))))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20710,plain,
% 14.16/10.24 (((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20711,plain,
% 14.16/10.24 (((~![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)))))))),
% 14.16/10.24 inference(monotonicity,[status(thm)],[20710])).
% 14.16/10.24 tff(20712,plain,
% 14.16/10.24 (((~![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))))))),
% 14.16/10.24 inference(transitivity,[status(thm)],[20711, 20709])).
% 14.16/10.24 tff(20713,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20714,plain,
% 14.16/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 14.16/10.24 tff(20715,plain,
% 14.16/10.24 (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20714, 20704, 616])).
% 14.16/10.24 tff(20716,plain,
% 14.16/10.24 (((~v1(constB133)) | (~v102(constB133))) | v1(constB133)),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20717,plain,
% 14.16/10.24 ((~v1(constB133)) | (~v102(constB133))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20716, 20671])).
% 14.16/10.24 tff(20718,plain,
% 14.16/10.24 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133)) | (~((~v1(constB133)) | (~v102(constB133))))),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20719,plain,
% 14.16/10.24 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20718, 20717])).
% 14.16/10.24 tff(20720,plain,
% 14.16/10.24 (~v101(constB133)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20719, 20715])).
% 14.16/10.24 tff(20721,plain,
% 14.16/10.24 (((~v101(constB133)) | (~v110(constB133))) | v101(constB133)),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20722,plain,
% 14.16/10.24 ((~v101(constB133)) | (~v110(constB133))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20721, 20720])).
% 14.16/10.24 tff(20723,plain,
% 14.16/10.24 ((~(v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))) | (~v100(constB133)) | (~((~v101(constB133)) | (~v110(constB133))))),
% 14.16/10.24 inference(tautology,[status(thm)],[])).
% 14.16/10.24 tff(20724,plain,
% 14.16/10.24 (~v100(constB133)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20723, 20722, 20708])).
% 14.16/10.24 tff(20725,plain,
% 14.16/10.24 (((~![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))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20726,plain,
% 14.16/10.24 ((~![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))))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20727,plain,
% 14.16/10.24 ((~![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)))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20726, 20725])).
% 14.16/10.24 tff(20728,plain,
% 14.16/10.24 (v100(constB133) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20727, 20704, 645])).
% 14.16/10.24 tff(20729,plain,
% 14.16/10.24 (![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20728, 20724])).
% 14.16/10.24 tff(20730,plain,
% 14.16/10.24 (((~![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)))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20731,plain,
% 14.16/10.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))),
% 14.16/10.24 inference(quant_inst,[status(thm)],[])).
% 14.16/10.24 tff(20732,plain,
% 14.16/10.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2))),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 14.16/10.24 tff(20733,plain,
% 14.16/10.24 (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)),
% 14.16/10.24 inference(unit_resolution,[status(thm)],[20732, 579, 20729])).
% 14.16/10.24 tff(20734,plain,
% 14.16/10.24 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20735,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131')).
% 14.16/10.24 tff(20736,plain,
% 14.16/10.24 (nextState(constB131, constB132)),
% 14.16/10.24 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 14.16/10.24 tff(20737,plain,
% 14.16/10.24 (((~![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))))))),
% 14.16/10.24 inference(rewrite,[status(thm)],[])).
% 14.16/10.24 tff(20738,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20739,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20738, 20737])).
% 14.16/10.25 tff(20740,plain,
% 14.16/10.25 (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20739, 20736, 596])).
% 14.16/10.25 tff(20741,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20742,plain,
% 14.16/10.25 (((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20743,plain,
% 14.16/10.25 (((~![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)))))))),
% 14.16/10.25 inference(monotonicity,[status(thm)],[20742])).
% 14.16/10.25 tff(20744,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(transitivity,[status(thm)],[20743, 20741])).
% 14.16/10.25 tff(20745,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20746,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20745, 20744])).
% 14.16/10.25 tff(20747,plain,
% 14.16/10.25 (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20746, 20736, 616])).
% 14.16/10.25 tff(20748,plain,
% 14.16/10.25 (((~![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)))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20749,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20750,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 14.16/10.25 tff(20751,plain,
% 14.16/10.25 ((~v102(constB132)) <=> v104(constB132)),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20750, 20736, 678])).
% 14.16/10.25 tff(20752,plain,
% 14.16/10.25 (((~![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)))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20753,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20754,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20753, 20752])).
% 14.16/10.25 tff(20755,plain,
% 14.16/10.25 (v104(constB132) <=> v1(constB131)),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20754, 20736, 692])).
% 14.16/10.25 tff(20756,plain,
% 14.16/10.25 ((~v1(constB131)) <=> (~v1(constB131))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20757,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131')).
% 14.16/10.25 tff(20758,plain,
% 14.16/10.25 (~v1(constB131)),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 14.16/10.25 tff(20759,plain,
% 14.16/10.25 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132)) | v1(constB131)),
% 14.16/10.25 inference(tautology,[status(thm)],[])).
% 14.16/10.25 tff(20760,plain,
% 14.16/10.25 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20759, 20758])).
% 14.16/10.25 tff(20761,plain,
% 14.16/10.25 (~v104(constB132)),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20760, 20755])).
% 14.16/10.25 tff(20762,plain,
% 14.16/10.25 ((~((~v102(constB132)) <=> v104(constB132))) | v102(constB132) | v104(constB132)),
% 14.16/10.25 inference(tautology,[status(thm)],[])).
% 14.16/10.25 tff(20763,plain,
% 14.16/10.25 (v102(constB132)),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20762, 20761, 20751])).
% 14.16/10.25 tff(20764,plain,
% 14.16/10.25 (v1(constB132) <=> v1(constB132)),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20765,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132')).
% 14.16/10.25 tff(20766,plain,
% 14.16/10.25 (v1(constB132)),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 14.16/10.25 tff(20767,plain,
% 14.16/10.25 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v1(constB132)) | (~v102(constB132))),
% 14.16/10.25 inference(tautology,[status(thm)],[])).
% 14.16/10.25 tff(20768,plain,
% 14.16/10.25 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v102(constB132))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20767, 20766])).
% 14.16/10.25 tff(20769,plain,
% 14.16/10.25 (~((~v1(constB132)) | (~v102(constB132)))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20768, 20763])).
% 14.16/10.25 tff(20770,plain,
% 14.16/10.25 ((~(v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))) | v101(constB132) | ((~v1(constB132)) | (~v102(constB132)))),
% 14.16/10.25 inference(tautology,[status(thm)],[])).
% 14.16/10.25 tff(20771,plain,
% 14.16/10.25 (v101(constB132)),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20770, 20769, 20747])).
% 14.16/10.25 tff(20772,plain,
% 14.16/10.25 (((~![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)))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20773,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20774,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 14.16/10.25 tff(20775,plain,
% 14.16/10.25 (v110(constB132) <=> v108(constB131)),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20774, 20736, 722])).
% 14.16/10.25 tff(20776,plain,
% 14.16/10.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB131) <=> (v111(constB131) | v112(constB131)))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20777,plain,
% 14.16/10.25 (v108(constB131) <=> (v111(constB131) | v112(constB131))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20776, 733])).
% 14.16/10.25 tff(20778,plain,
% 14.16/10.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20779,plain,
% 14.16/10.25 (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131))))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20778, 745])).
% 14.16/10.25 tff(20780,plain,
% 14.16/10.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB131) <=> (v114(constB131) | v125(constB131)))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20781,plain,
% 14.16/10.25 (v113(constB131) <=> (v114(constB131) | v125(constB131))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20780, 754])).
% 14.16/10.25 tff(20782,plain,
% 14.16/10.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB131) <=> (v115(constB131) | v124(constB131)))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20783,plain,
% 14.16/10.25 (v114(constB131) <=> (v115(constB131) | v124(constB131))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20782, 763])).
% 14.16/10.25 tff(20784,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20785,plain,
% 14.16/10.25 ((v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2))))) <=> (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20786,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(monotonicity,[status(thm)],[20785])).
% 14.16/10.25 tff(20787,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(transitivity,[status(thm)],[20786, 20784])).
% 14.16/10.25 tff(20788,plain,
% 14.16/10.25 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20789,plain,
% 14.16/10.25 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20788, 20787])).
% 14.16/10.25 tff(20790,plain,
% 14.16/10.25 (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20789, 2651])).
% 14.16/10.25 tff(20791,plain,
% 14.16/10.25 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20792,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130')).
% 14.16/10.25 tff(20793,plain,
% 14.16/10.25 (nextState(constB130, constB131)),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20792, 20791])).
% 14.16/10.25 tff(20794,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20795,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 14.16/10.25 inference(quant_inst,[status(thm)],[])).
% 14.16/10.25 tff(20796,plain,
% 14.16/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))),
% 14.16/10.25 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 14.16/10.25 tff(20797,plain,
% 14.16/10.25 (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))),
% 14.16/10.25 inference(unit_resolution,[status(thm)],[20796, 20793, 596])).
% 14.16/10.25 tff(20798,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20799,plain,
% 14.16/10.25 (((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 14.16/10.25 inference(rewrite,[status(thm)],[])).
% 14.16/10.25 tff(20800,plain,
% 14.16/10.25 (((~![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)))))))),
% 14.16/10.25 inference(monotonicity,[status(thm)],[20799])).
% 14.16/10.25 tff(20801,plain,
% 14.16/10.25 (((~![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))))))),
% 14.16/10.26 inference(transitivity,[status(thm)],[20800, 20798])).
% 14.16/10.26 tff(20802,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20803,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20802, 20801])).
% 14.16/10.26 tff(20804,plain,
% 14.16/10.26 (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20803, 20793, 616])).
% 14.16/10.26 tff(20805,plain,
% 14.16/10.26 (((~v1(constB131)) | (~v102(constB131))) | v1(constB131)),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20806,plain,
% 14.16/10.26 ((~v1(constB131)) | (~v102(constB131))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20805, 20758])).
% 14.16/10.26 tff(20807,plain,
% 14.16/10.26 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131)) | (~((~v1(constB131)) | (~v102(constB131))))),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20808,plain,
% 14.16/10.26 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20807, 20806])).
% 14.16/10.26 tff(20809,plain,
% 14.16/10.26 (~v101(constB131)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20808, 20804])).
% 14.16/10.26 tff(20810,plain,
% 14.16/10.26 (((~v101(constB131)) | (~v110(constB131))) | v101(constB131)),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20811,plain,
% 14.16/10.26 ((~v101(constB131)) | (~v110(constB131))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20810, 20809])).
% 14.16/10.26 tff(20812,plain,
% 14.16/10.26 ((~(v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))) | (~v100(constB131)) | (~((~v101(constB131)) | (~v110(constB131))))),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20813,plain,
% 14.16/10.26 (~v100(constB131)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20812, 20811, 20797])).
% 14.16/10.26 tff(20814,plain,
% 14.16/10.26 (((~![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))))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20815,plain,
% 14.16/10.26 ((~![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))))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20816,plain,
% 14.16/10.26 ((~![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)))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20815, 20814])).
% 14.16/10.26 tff(20817,plain,
% 14.16/10.26 (v100(constB131) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20816, 20793, 645])).
% 14.16/10.26 tff(20818,plain,
% 14.16/10.26 (![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20817, 20813])).
% 14.16/10.26 tff(20819,plain,
% 14.16/10.26 (((~![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)))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20820,plain,
% 14.16/10.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20821,plain,
% 14.16/10.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20820, 20819])).
% 14.16/10.26 tff(20822,plain,
% 14.16/10.26 (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20821, 579, 20818])).
% 14.16/10.26 tff(20823,plain,
% 14.16/10.26 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20824,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129')).
% 14.16/10.26 tff(20825,plain,
% 14.16/10.26 (nextState(constB129, constB130)),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20824, 20823])).
% 14.16/10.26 tff(20826,plain,
% 14.16/10.26 (((~![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))))))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20827,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20828,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20827, 20826])).
% 14.16/10.26 tff(20829,plain,
% 14.16/10.26 (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20828, 20825, 596])).
% 14.16/10.26 tff(20830,plain,
% 14.16/10.26 (((~![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))))))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20831,plain,
% 14.16/10.26 (((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20832,plain,
% 14.16/10.26 (((~![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)))))))),
% 14.16/10.26 inference(monotonicity,[status(thm)],[20831])).
% 14.16/10.26 tff(20833,plain,
% 14.16/10.26 (((~![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))))))),
% 14.16/10.26 inference(transitivity,[status(thm)],[20832, 20830])).
% 14.16/10.26 tff(20834,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20835,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 14.16/10.26 tff(20836,plain,
% 14.16/10.26 (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20835, 20825, 616])).
% 14.16/10.26 tff(20837,plain,
% 14.16/10.26 (((~![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)))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20838,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20839,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20838, 20837])).
% 14.16/10.26 tff(20840,plain,
% 14.16/10.26 ((~v102(constB130)) <=> v104(constB130)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20839, 20825, 678])).
% 14.16/10.26 tff(20841,plain,
% 14.16/10.26 (((~![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)))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20842,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20843,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20842, 20841])).
% 14.16/10.26 tff(20844,plain,
% 14.16/10.26 (v104(constB130) <=> v1(constB129)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20843, 20825, 692])).
% 14.16/10.26 tff(20845,plain,
% 14.16/10.26 ((~v1(constB129)) <=> (~v1(constB129))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20846,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129')).
% 14.16/10.26 tff(20847,plain,
% 14.16/10.26 (~v1(constB129)),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20846, 20845])).
% 14.16/10.26 tff(20848,plain,
% 14.16/10.26 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130)) | v1(constB129)),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20849,plain,
% 14.16/10.26 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20848, 20847])).
% 14.16/10.26 tff(20850,plain,
% 14.16/10.26 (~v104(constB130)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20849, 20844])).
% 14.16/10.26 tff(20851,plain,
% 14.16/10.26 ((~((~v102(constB130)) <=> v104(constB130))) | v102(constB130) | v104(constB130)),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20852,plain,
% 14.16/10.26 (v102(constB130)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20851, 20850, 20840])).
% 14.16/10.26 tff(20853,plain,
% 14.16/10.26 (v1(constB130) <=> v1(constB130)),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20854,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130')).
% 14.16/10.26 tff(20855,plain,
% 14.16/10.26 (v1(constB130)),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 14.16/10.26 tff(20856,plain,
% 14.16/10.26 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v1(constB130)) | (~v102(constB130))),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20857,plain,
% 14.16/10.26 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v102(constB130))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20856, 20855])).
% 14.16/10.26 tff(20858,plain,
% 14.16/10.26 (~((~v1(constB130)) | (~v102(constB130)))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20857, 20852])).
% 14.16/10.26 tff(20859,plain,
% 14.16/10.26 ((~(v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))) | v101(constB130) | ((~v1(constB130)) | (~v102(constB130)))),
% 14.16/10.26 inference(tautology,[status(thm)],[])).
% 14.16/10.26 tff(20860,plain,
% 14.16/10.26 (v101(constB130)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20859, 20858, 20836])).
% 14.16/10.26 tff(20861,plain,
% 14.16/10.26 (((~![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)))),
% 14.16/10.26 inference(rewrite,[status(thm)],[])).
% 14.16/10.26 tff(20862,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20863,plain,
% 14.16/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129))),
% 14.16/10.26 inference(modus_ponens,[status(thm)],[20862, 20861])).
% 14.16/10.26 tff(20864,plain,
% 14.16/10.26 (v110(constB130) <=> v108(constB129)),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20863, 20825, 722])).
% 14.16/10.26 tff(20865,plain,
% 14.16/10.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB129) <=> (v111(constB129) | v112(constB129)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20866,plain,
% 14.16/10.26 (v108(constB129) <=> (v111(constB129) | v112(constB129))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20865, 733])).
% 14.16/10.26 tff(20867,plain,
% 14.16/10.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20868,plain,
% 14.16/10.26 (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129))))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20867, 745])).
% 14.16/10.26 tff(20869,plain,
% 14.16/10.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB129) <=> (v114(constB129) | v125(constB129)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20870,plain,
% 14.16/10.26 (v113(constB129) <=> (v114(constB129) | v125(constB129))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20869, 754])).
% 14.16/10.26 tff(20871,plain,
% 14.16/10.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB129) <=> (v115(constB129) | v124(constB129)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20872,plain,
% 14.16/10.26 (v114(constB129) <=> (v115(constB129) | v124(constB129))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20871, 763])).
% 14.16/10.26 tff(20873,plain,
% 14.16/10.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB129) <=> (v116(constB129) | v123(constB129)))),
% 14.16/10.26 inference(quant_inst,[status(thm)],[])).
% 14.16/10.26 tff(20874,plain,
% 14.16/10.26 (v115(constB129) <=> (v116(constB129) | v123(constB129))),
% 14.16/10.26 inference(unit_resolution,[status(thm)],[20873, 772])).
% 14.16/10.26 tff(20875,plain,
% 14.16/10.26 (((~![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)))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20876,plain,
% 14.16/10.27 ((v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2))))) <=> (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20877,plain,
% 14.16/10.27 (((~![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)))))),
% 14.16/10.27 inference(monotonicity,[status(thm)],[20876])).
% 14.16/10.27 tff(20878,plain,
% 14.16/10.27 (((~![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)))))),
% 14.16/10.27 inference(transitivity,[status(thm)],[20877, 20875])).
% 14.16/10.27 tff(20879,plain,
% 14.16/10.27 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20880,plain,
% 14.16/10.27 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 14.16/10.27 tff(20881,plain,
% 14.16/10.27 (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20880, 787])).
% 14.16/10.27 tff(20882,plain,
% 14.16/10.27 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20883,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128')).
% 14.16/10.27 tff(20884,plain,
% 14.16/10.27 (nextState(constB128, constB129)),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20883, 20882])).
% 14.16/10.27 tff(20885,plain,
% 14.16/10.27 (((~![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))))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20886,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20887,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20886, 20885])).
% 14.16/10.27 tff(20888,plain,
% 14.16/10.27 (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20887, 20884, 596])).
% 14.16/10.27 tff(20889,plain,
% 14.16/10.27 (((~![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))))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20890,plain,
% 14.16/10.27 (((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20891,plain,
% 14.16/10.27 (((~![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)))))))),
% 14.16/10.27 inference(monotonicity,[status(thm)],[20890])).
% 14.16/10.27 tff(20892,plain,
% 14.16/10.27 (((~![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))))))),
% 14.16/10.27 inference(transitivity,[status(thm)],[20891, 20889])).
% 14.16/10.27 tff(20893,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20894,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20893, 20892])).
% 14.16/10.27 tff(20895,plain,
% 14.16/10.27 (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20894, 20884, 616])).
% 14.16/10.27 tff(20896,plain,
% 14.16/10.27 (((~v1(constB129)) | (~v102(constB129))) | v1(constB129)),
% 14.16/10.27 inference(tautology,[status(thm)],[])).
% 14.16/10.27 tff(20897,plain,
% 14.16/10.27 ((~v1(constB129)) | (~v102(constB129))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20896, 20847])).
% 14.16/10.27 tff(20898,plain,
% 14.16/10.27 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129)) | (~((~v1(constB129)) | (~v102(constB129))))),
% 14.16/10.27 inference(tautology,[status(thm)],[])).
% 14.16/10.27 tff(20899,plain,
% 14.16/10.27 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20898, 20897])).
% 14.16/10.27 tff(20900,plain,
% 14.16/10.27 (~v101(constB129)),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20899, 20895])).
% 14.16/10.27 tff(20901,plain,
% 14.16/10.27 (((~v101(constB129)) | (~v110(constB129))) | v101(constB129)),
% 14.16/10.27 inference(tautology,[status(thm)],[])).
% 14.16/10.27 tff(20902,plain,
% 14.16/10.27 ((~v101(constB129)) | (~v110(constB129))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20901, 20900])).
% 14.16/10.27 tff(20903,plain,
% 14.16/10.27 ((~(v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))) | (~v100(constB129)) | (~((~v101(constB129)) | (~v110(constB129))))),
% 14.16/10.27 inference(tautology,[status(thm)],[])).
% 14.16/10.27 tff(20904,plain,
% 14.16/10.27 (~v100(constB129)),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20903, 20902, 20888])).
% 14.16/10.27 tff(20905,plain,
% 14.16/10.27 (((~![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))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20906,plain,
% 14.16/10.27 ((~![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))))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20907,plain,
% 14.16/10.27 ((~![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)))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20906, 20905])).
% 14.16/10.27 tff(20908,plain,
% 14.16/10.27 (v100(constB129) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20907, 20884, 645])).
% 14.16/10.27 tff(20909,plain,
% 14.16/10.27 (![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20908, 20904])).
% 14.16/10.27 tff(20910,plain,
% 14.16/10.27 (((~![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)))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20911,plain,
% 14.16/10.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20912,plain,
% 14.16/10.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 14.16/10.27 tff(20913,plain,
% 14.16/10.27 (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20912, 579, 20909])).
% 14.16/10.27 tff(20914,plain,
% 14.16/10.27 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20915,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127')).
% 14.16/10.27 tff(20916,plain,
% 14.16/10.27 (nextState(constB127, constB128)),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 14.16/10.27 tff(20917,plain,
% 14.16/10.27 (((~![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))))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20918,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20919,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20918, 20917])).
% 14.16/10.27 tff(20920,plain,
% 14.16/10.27 (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20919, 20916, 596])).
% 14.16/10.27 tff(20921,plain,
% 14.16/10.27 (((~![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))))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20922,plain,
% 14.16/10.27 (((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20923,plain,
% 14.16/10.27 (((~![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)))))))),
% 14.16/10.27 inference(monotonicity,[status(thm)],[20922])).
% 14.16/10.27 tff(20924,plain,
% 14.16/10.27 (((~![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))))))),
% 14.16/10.27 inference(transitivity,[status(thm)],[20923, 20921])).
% 14.16/10.27 tff(20925,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20926,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 14.16/10.27 tff(20927,plain,
% 14.16/10.27 (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))),
% 14.16/10.27 inference(unit_resolution,[status(thm)],[20926, 20916, 616])).
% 14.16/10.27 tff(20928,plain,
% 14.16/10.27 (((~![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)))),
% 14.16/10.27 inference(rewrite,[status(thm)],[])).
% 14.16/10.27 tff(20929,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 14.16/10.27 inference(quant_inst,[status(thm)],[])).
% 14.16/10.27 tff(20930,plain,
% 14.16/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128))),
% 14.16/10.27 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 14.16/10.28 tff(20931,plain,
% 14.16/10.28 ((~v102(constB128)) <=> v104(constB128)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20930, 20916, 678])).
% 14.16/10.28 tff(20932,plain,
% 14.16/10.28 (((~![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)))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20933,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20934,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127))),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 14.16/10.28 tff(20935,plain,
% 14.16/10.28 (v104(constB128) <=> v1(constB127)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20934, 20916, 692])).
% 14.16/10.28 tff(20936,plain,
% 14.16/10.28 ((~v1(constB127)) <=> (~v1(constB127))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20937,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127')).
% 14.16/10.28 tff(20938,plain,
% 14.16/10.28 (~v1(constB127)),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 14.16/10.28 tff(20939,plain,
% 14.16/10.28 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128)) | v1(constB127)),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20940,plain,
% 14.16/10.28 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20939, 20938])).
% 14.16/10.28 tff(20941,plain,
% 14.16/10.28 (~v104(constB128)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20940, 20935])).
% 14.16/10.28 tff(20942,plain,
% 14.16/10.28 ((~((~v102(constB128)) <=> v104(constB128))) | v102(constB128) | v104(constB128)),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20943,plain,
% 14.16/10.28 (v102(constB128)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20942, 20941, 20931])).
% 14.16/10.28 tff(20944,plain,
% 14.16/10.28 (v1(constB128) <=> v1(constB128)),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20945,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128')).
% 14.16/10.28 tff(20946,plain,
% 14.16/10.28 (v1(constB128)),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20945, 20944])).
% 14.16/10.28 tff(20947,plain,
% 14.16/10.28 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v1(constB128)) | (~v102(constB128))),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20948,plain,
% 14.16/10.28 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v102(constB128))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20947, 20946])).
% 14.16/10.28 tff(20949,plain,
% 14.16/10.28 (~((~v1(constB128)) | (~v102(constB128)))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20948, 20943])).
% 14.16/10.28 tff(20950,plain,
% 14.16/10.28 ((~(v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))) | v101(constB128) | ((~v1(constB128)) | (~v102(constB128)))),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20951,plain,
% 14.16/10.28 (v101(constB128)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20950, 20949, 20927])).
% 14.16/10.28 tff(20952,plain,
% 14.16/10.28 (((~![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)))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20953,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20954,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127))),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20953, 20952])).
% 14.16/10.28 tff(20955,plain,
% 14.16/10.28 (v110(constB128) <=> v108(constB127)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20954, 20916, 722])).
% 14.16/10.28 tff(20956,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB127) <=> (v111(constB127) | v112(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20957,plain,
% 14.16/10.28 (v108(constB127) <=> (v111(constB127) | v112(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20956, 733])).
% 14.16/10.28 tff(20958,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20959,plain,
% 14.16/10.28 (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127))))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20958, 745])).
% 14.16/10.28 tff(20960,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB127) <=> (v114(constB127) | v125(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20961,plain,
% 14.16/10.28 (v113(constB127) <=> (v114(constB127) | v125(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20960, 754])).
% 14.16/10.28 tff(20962,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB127) <=> (v115(constB127) | v124(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20963,plain,
% 14.16/10.28 (v114(constB127) <=> (v115(constB127) | v124(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20962, 763])).
% 14.16/10.28 tff(20964,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB127) <=> (v116(constB127) | v123(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20965,plain,
% 14.16/10.28 (v115(constB127) <=> (v116(constB127) | v123(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20964, 772])).
% 14.16/10.28 tff(20966,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB127) <=> (v117(constB127) | v122(constB127)))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20967,plain,
% 14.16/10.28 (v116(constB127) <=> (v117(constB127) | v122(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20966, 885])).
% 14.16/10.28 tff(20968,plain,
% 14.16/10.28 (((~![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))))))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20969,plain,
% 14.16/10.28 ((v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1))))) <=> (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20970,plain,
% 14.16/10.28 (((~![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))))))),
% 14.16/10.28 inference(monotonicity,[status(thm)],[20969])).
% 14.16/10.28 tff(20971,plain,
% 14.16/10.28 (((~![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))))))),
% 14.16/10.28 inference(transitivity,[status(thm)],[20970, 20968])).
% 14.16/10.28 tff(20972,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20973,plain,
% 14.16/10.28 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 14.16/10.28 tff(20974,plain,
% 14.16/10.28 (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20973, 900])).
% 14.16/10.28 tff(20975,plain,
% 14.16/10.28 (((~![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))))))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20976,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20977,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 14.16/10.28 tff(20978,plain,
% 14.16/10.28 (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20977, 17597, 596])).
% 14.16/10.28 tff(20979,plain,
% 14.16/10.28 (((~![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))))))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20980,plain,
% 14.16/10.28 (((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20981,plain,
% 14.16/10.28 (((~![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)))))))),
% 14.16/10.28 inference(monotonicity,[status(thm)],[20980])).
% 14.16/10.28 tff(20982,plain,
% 14.16/10.28 (((~![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))))))),
% 14.16/10.28 inference(transitivity,[status(thm)],[20981, 20979])).
% 14.16/10.28 tff(20983,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20984,plain,
% 14.16/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20983, 20982])).
% 14.16/10.28 tff(20985,plain,
% 14.16/10.28 (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20984, 17597, 616])).
% 14.16/10.28 tff(20986,plain,
% 14.16/10.28 (((~v1(constB127)) | (~v102(constB127))) | v1(constB127)),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20987,plain,
% 14.16/10.28 ((~v1(constB127)) | (~v102(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20986, 20938])).
% 14.16/10.28 tff(20988,plain,
% 14.16/10.28 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127)) | (~((~v1(constB127)) | (~v102(constB127))))),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20989,plain,
% 14.16/10.28 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20988, 20987])).
% 14.16/10.28 tff(20990,plain,
% 14.16/10.28 (~v101(constB127)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20989, 20985])).
% 14.16/10.28 tff(20991,plain,
% 14.16/10.28 (((~v101(constB127)) | (~v110(constB127))) | v101(constB127)),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20992,plain,
% 14.16/10.28 ((~v101(constB127)) | (~v110(constB127))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20991, 20990])).
% 14.16/10.28 tff(20993,plain,
% 14.16/10.28 ((~(v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))) | (~v100(constB127)) | (~((~v101(constB127)) | (~v110(constB127))))),
% 14.16/10.28 inference(tautology,[status(thm)],[])).
% 14.16/10.28 tff(20994,plain,
% 14.16/10.28 (~v100(constB127)),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20993, 20992, 20978])).
% 14.16/10.28 tff(20995,plain,
% 14.16/10.28 (((~![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))))),
% 14.16/10.28 inference(rewrite,[status(thm)],[])).
% 14.16/10.28 tff(20996,plain,
% 14.16/10.28 ((~![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))))),
% 14.16/10.28 inference(quant_inst,[status(thm)],[])).
% 14.16/10.28 tff(20997,plain,
% 14.16/10.28 ((~![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)))),
% 14.16/10.28 inference(modus_ponens,[status(thm)],[20996, 20995])).
% 14.16/10.28 tff(20998,plain,
% 14.16/10.28 (v100(constB127) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20997, 17597, 645])).
% 14.16/10.28 tff(20999,plain,
% 14.16/10.28 (![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 14.16/10.28 inference(unit_resolution,[status(thm)],[20998, 20994])).
% 14.16/10.28 tff(21000,plain,
% 14.16/10.28 (((~![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)))),
% 14.16/10.29 inference(rewrite,[status(thm)],[])).
% 14.16/10.29 tff(21001,plain,
% 14.16/10.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))),
% 14.16/10.29 inference(quant_inst,[status(thm)],[])).
% 14.16/10.29 tff(21002,plain,
% 14.16/10.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2))),
% 14.16/10.29 inference(modus_ponens,[status(thm)],[21001, 21000])).
% 14.16/10.29 tff(21003,plain,
% 14.16/10.29 (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21002, 579, 20999])).
% 14.16/10.29 tff(21004,plain,
% 14.16/10.29 (((~![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))))))),
% 14.16/10.29 inference(rewrite,[status(thm)],[])).
% 14.16/10.29 tff(21005,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 14.16/10.29 inference(quant_inst,[status(thm)],[])).
% 14.16/10.29 tff(21006,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))),
% 14.16/10.29 inference(modus_ponens,[status(thm)],[21005, 21004])).
% 14.16/10.29 tff(21007,plain,
% 14.16/10.29 (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21006, 17644, 596])).
% 14.16/10.29 tff(21008,plain,
% 14.16/10.29 (((~![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))))))),
% 14.16/10.29 inference(rewrite,[status(thm)],[])).
% 14.16/10.29 tff(21009,plain,
% 14.16/10.29 (((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 14.16/10.29 inference(rewrite,[status(thm)],[])).
% 14.16/10.29 tff(21010,plain,
% 14.16/10.29 (((~![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)))))))),
% 14.16/10.29 inference(monotonicity,[status(thm)],[21009])).
% 14.16/10.29 tff(21011,plain,
% 14.16/10.29 (((~![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))))))),
% 14.16/10.29 inference(transitivity,[status(thm)],[21010, 21008])).
% 14.16/10.29 tff(21012,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))),
% 14.16/10.29 inference(quant_inst,[status(thm)],[])).
% 14.16/10.29 tff(21013,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))),
% 14.16/10.29 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 14.16/10.29 tff(21014,plain,
% 14.16/10.29 (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21013, 17644, 616])).
% 14.16/10.29 tff(21015,plain,
% 14.16/10.29 (((~![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)))),
% 14.16/10.29 inference(rewrite,[status(thm)],[])).
% 14.16/10.29 tff(21016,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 14.16/10.29 inference(quant_inst,[status(thm)],[])).
% 14.16/10.29 tff(21017,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126))),
% 14.16/10.29 inference(modus_ponens,[status(thm)],[21016, 21015])).
% 14.16/10.29 tff(21018,plain,
% 14.16/10.29 ((~v102(constB126)) <=> v104(constB126)),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21017, 17644, 678])).
% 14.16/10.29 tff(21019,plain,
% 14.16/10.29 (((~![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)))),
% 14.16/10.29 inference(rewrite,[status(thm)],[])).
% 14.16/10.29 tff(21020,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 14.16/10.29 inference(quant_inst,[status(thm)],[])).
% 14.16/10.29 tff(21021,plain,
% 14.16/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125))),
% 14.16/10.29 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 14.16/10.29 tff(21022,plain,
% 14.16/10.29 (v104(constB126) <=> v1(constB125)),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21021, 17644, 692])).
% 14.16/10.29 tff(21023,plain,
% 14.16/10.29 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126)) | v1(constB125)),
% 14.16/10.29 inference(tautology,[status(thm)],[])).
% 14.16/10.29 tff(21024,plain,
% 14.16/10.29 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126))),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21023, 17703])).
% 14.16/10.29 tff(21025,plain,
% 14.16/10.29 (~v104(constB126)),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21024, 21022])).
% 14.16/10.29 tff(21026,plain,
% 14.16/10.29 ((~((~v102(constB126)) <=> v104(constB126))) | v102(constB126) | v104(constB126)),
% 14.16/10.29 inference(tautology,[status(thm)],[])).
% 14.16/10.29 tff(21027,plain,
% 14.16/10.29 (v102(constB126)),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21026, 21025, 21018])).
% 14.16/10.29 tff(21028,plain,
% 14.16/10.29 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v1(constB126)) | (~v102(constB126))),
% 14.16/10.29 inference(tautology,[status(thm)],[])).
% 14.16/10.29 tff(21029,plain,
% 14.16/10.29 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v102(constB126))),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21028, 17616])).
% 14.16/10.29 tff(21030,plain,
% 14.16/10.29 (~((~v1(constB126)) | (~v102(constB126)))),
% 14.16/10.29 inference(unit_resolution,[status(thm)],[21029, 21027])).
% 14.16/10.29 tff(21031,plain,
% 14.16/10.29 ((~(v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))) | v101(constB126) | ((~v1(constB126)) | (~v102(constB126)))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21032,plain,
% 14.23/10.29 (v101(constB126)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21031, 21030, 21014])).
% 14.23/10.29 tff(21033,plain,
% 14.23/10.29 (((~![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)))),
% 14.23/10.29 inference(rewrite,[status(thm)],[])).
% 14.23/10.29 tff(21034,plain,
% 14.23/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21035,plain,
% 14.23/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125))),
% 14.23/10.29 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 14.23/10.29 tff(21036,plain,
% 14.23/10.29 (v110(constB126) <=> v108(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21035, 17644, 722])).
% 14.23/10.29 tff(21037,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB125) <=> (v111(constB125) | v112(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21038,plain,
% 14.23/10.29 (v108(constB125) <=> (v111(constB125) | v112(constB125))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21037, 733])).
% 14.23/10.29 tff(21039,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21040,plain,
% 14.23/10.29 (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125))))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21039, 745])).
% 14.23/10.29 tff(21041,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB125) <=> (v114(constB125) | v125(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21042,plain,
% 14.23/10.29 (v113(constB125) <=> (v114(constB125) | v125(constB125))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21041, 754])).
% 14.23/10.29 tff(21043,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB125) <=> (v115(constB125) | v124(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21044,plain,
% 14.23/10.29 (v114(constB125) <=> (v115(constB125) | v124(constB125))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21043, 763])).
% 14.23/10.29 tff(21045,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB125) <=> (v116(constB125) | v123(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21046,plain,
% 14.23/10.29 (v115(constB125) <=> (v116(constB125) | v123(constB125))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21045, 772])).
% 14.23/10.29 tff(21047,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB125) <=> (v117(constB125) | v122(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21048,plain,
% 14.23/10.29 (v116(constB125) <=> (v117(constB125) | v122(constB125))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21047, 885])).
% 14.23/10.29 tff(21049,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB125) <=> (v118(constB125) | v121(constB125)))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21050,plain,
% 14.23/10.29 (v117(constB125) <=> (v118(constB125) | v121(constB125))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21049, 1000])).
% 14.23/10.29 tff(21051,plain,
% 14.23/10.29 (((~![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)))))),
% 14.23/10.29 inference(rewrite,[status(thm)],[])).
% 14.23/10.29 tff(21052,plain,
% 14.23/10.29 ((v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1))))) <=> (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 14.23/10.29 inference(rewrite,[status(thm)],[])).
% 14.23/10.29 tff(21053,plain,
% 14.23/10.29 (((~![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)))))),
% 14.23/10.29 inference(monotonicity,[status(thm)],[21052])).
% 14.23/10.29 tff(21054,plain,
% 14.23/10.29 (((~![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)))))),
% 14.23/10.29 inference(transitivity,[status(thm)],[21053, 21051])).
% 14.23/10.29 tff(21055,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))),
% 14.23/10.29 inference(quant_inst,[status(thm)],[])).
% 14.23/10.29 tff(21056,plain,
% 14.23/10.29 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 14.23/10.29 inference(modus_ponens,[status(thm)],[21055, 21054])).
% 14.23/10.29 tff(21057,plain,
% 14.23/10.29 (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21056, 1015])).
% 14.23/10.29 tff(21058,plain,
% 14.23/10.29 ((~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21059,plain,
% 14.23/10.29 (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21058, 19079, 19034, 19148])).
% 14.23/10.29 tff(21060,plain,
% 14.23/10.29 ((~(v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) | v121(constB125) | (v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21061,plain,
% 14.23/10.29 (v121(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21060, 21059, 21057])).
% 14.23/10.29 tff(21062,plain,
% 14.23/10.29 ((v118(constB125) | v121(constB125)) | (~v121(constB125))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21063,plain,
% 14.23/10.29 (v118(constB125) | v121(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21062, 21061])).
% 14.23/10.29 tff(21064,plain,
% 14.23/10.29 ((~(v117(constB125) <=> (v118(constB125) | v121(constB125)))) | v117(constB125) | (~(v118(constB125) | v121(constB125)))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21065,plain,
% 14.23/10.29 (v117(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21064, 21063, 21050])).
% 14.23/10.29 tff(21066,plain,
% 14.23/10.29 ((v117(constB125) | v122(constB125)) | (~v117(constB125))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21067,plain,
% 14.23/10.29 (v117(constB125) | v122(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21066, 21065])).
% 14.23/10.29 tff(21068,plain,
% 14.23/10.29 ((~(v116(constB125) <=> (v117(constB125) | v122(constB125)))) | v116(constB125) | (~(v117(constB125) | v122(constB125)))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21069,plain,
% 14.23/10.29 (v116(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21068, 21067, 21048])).
% 14.23/10.29 tff(21070,plain,
% 14.23/10.29 ((v116(constB125) | v123(constB125)) | (~v116(constB125))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21071,plain,
% 14.23/10.29 (v116(constB125) | v123(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21070, 21069])).
% 14.23/10.29 tff(21072,plain,
% 14.23/10.29 ((~(v115(constB125) <=> (v116(constB125) | v123(constB125)))) | v115(constB125) | (~(v116(constB125) | v123(constB125)))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21073,plain,
% 14.23/10.29 (v115(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21072, 21071, 21046])).
% 14.23/10.29 tff(21074,plain,
% 14.23/10.29 ((v115(constB125) | v124(constB125)) | (~v115(constB125))),
% 14.23/10.29 inference(tautology,[status(thm)],[])).
% 14.23/10.29 tff(21075,plain,
% 14.23/10.29 (v115(constB125) | v124(constB125)),
% 14.23/10.29 inference(unit_resolution,[status(thm)],[21074, 21073])).
% 14.23/10.29 tff(21076,plain,
% 14.23/10.29 ((~(v114(constB125) <=> (v115(constB125) | v124(constB125)))) | v114(constB125) | (~(v115(constB125) | v124(constB125)))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21077,plain,
% 14.23/10.30 (v114(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21076, 21075, 21044])).
% 14.23/10.30 tff(21078,plain,
% 14.23/10.30 ((v114(constB125) | v125(constB125)) | (~v114(constB125))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21079,plain,
% 14.23/10.30 (v114(constB125) | v125(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21078, 21077])).
% 14.23/10.30 tff(21080,plain,
% 14.23/10.30 ((~(v113(constB125) <=> (v114(constB125) | v125(constB125)))) | v113(constB125) | (~(v114(constB125) | v125(constB125)))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21081,plain,
% 14.23/10.30 (v113(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21080, 21079, 21042])).
% 14.23/10.30 tff(21082,plain,
% 14.23/10.30 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB125)) <=> v111(constB125))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21083,plain,
% 14.23/10.30 ((~v126(constB125)) <=> v111(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21082, 1345])).
% 14.23/10.30 tff(21084,plain,
% 14.23/10.30 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB125) <=> v26(constB125))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21085,plain,
% 14.23/10.30 (v111(constB125) <=> v26(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21084, 1357])).
% 14.23/10.30 tff(21086,plain,
% 14.23/10.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21087,plain,
% 14.23/10.30 (~v26(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21086, 1369])).
% 14.23/10.30 tff(21088,plain,
% 14.23/10.30 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125)) | v26(constB125)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21089,plain,
% 14.23/10.30 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21088, 21087])).
% 14.23/10.30 tff(21090,plain,
% 14.23/10.30 (~v111(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21089, 21085])).
% 14.23/10.30 tff(21091,plain,
% 14.23/10.30 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125) | v111(constB125)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21092,plain,
% 14.23/10.30 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21091, 21090])).
% 14.23/10.30 tff(21093,plain,
% 14.23/10.30 (v126(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21092, 21083])).
% 14.23/10.30 tff(21094,plain,
% 14.23/10.30 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125)) | (~v126(constB125))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21095,plain,
% 14.23/10.30 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21094, 21093])).
% 14.23/10.30 tff(21096,plain,
% 14.23/10.30 (~((~v113(constB125)) | (~v126(constB125)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21095, 21081])).
% 14.23/10.30 tff(21097,plain,
% 14.23/10.30 ((~(v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))) | v112(constB125) | ((~v113(constB125)) | (~v126(constB125)))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21098,plain,
% 14.23/10.30 (v112(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21097, 21096, 21040])).
% 14.23/10.30 tff(21099,plain,
% 14.23/10.30 ((v111(constB125) | v112(constB125)) | (~v112(constB125))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21100,plain,
% 14.23/10.30 (v111(constB125) | v112(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21099, 21098])).
% 14.23/10.30 tff(21101,plain,
% 14.23/10.30 ((~(v108(constB125) <=> (v111(constB125) | v112(constB125)))) | v108(constB125) | (~(v111(constB125) | v112(constB125)))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21102,plain,
% 14.23/10.30 (v108(constB125)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21101, 21100, 21038])).
% 14.23/10.30 tff(21103,plain,
% 14.23/10.30 ((~(v110(constB126) <=> v108(constB125))) | v110(constB126) | (~v108(constB125))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21104,plain,
% 14.23/10.30 (v110(constB126)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21103, 21102, 21036])).
% 14.23/10.30 tff(21105,plain,
% 14.23/10.30 ((~((~v101(constB126)) | (~v110(constB126)))) | (~v101(constB126)) | (~v110(constB126))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21106,plain,
% 14.23/10.30 (~((~v101(constB126)) | (~v110(constB126)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21105, 21104, 21032])).
% 14.23/10.30 tff(21107,plain,
% 14.23/10.30 ((~(v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))) | v100(constB126) | ((~v101(constB126)) | (~v110(constB126)))),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21108,plain,
% 14.23/10.30 (v100(constB126)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21107, 21106, 21007])).
% 14.23/10.30 tff(21109,plain,
% 14.23/10.30 (((~![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))))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21110,plain,
% 14.23/10.30 ((~![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))))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21111,plain,
% 14.23/10.30 ((~![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)))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21110, 21109])).
% 14.23/10.30 tff(21112,plain,
% 14.23/10.30 ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21111, 1405])).
% 14.23/10.30 tff(21113,plain,
% 14.23/10.30 (![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21112, 21108])).
% 14.23/10.30 tff(21114,plain,
% 14.23/10.30 (((~![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)))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21115,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21116,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21115, 21114])).
% 14.23/10.30 tff(21117,plain,
% 14.23/10.30 (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21116, 579, 21113])).
% 14.23/10.30 tff(21118,plain,
% 14.23/10.30 (((~![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))))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21119,plain,
% 14.23/10.30 ((~![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))))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21120,plain,
% 14.23/10.30 ((~![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)))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 14.23/10.30 tff(21121,plain,
% 14.23/10.30 (![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21120, 17644, 1427])).
% 14.23/10.30 tff(21122,plain,
% 14.23/10.30 (((~![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)))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21123,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21124,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21123, 21122])).
% 14.23/10.30 tff(21125,plain,
% 14.23/10.30 (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21124, 579, 21121])).
% 14.23/10.30 tff(21126,plain,
% 14.23/10.30 (((~![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))))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21127,plain,
% 14.23/10.30 ((~![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))))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21128,plain,
% 14.23/10.30 ((~![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)))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21127, 21126])).
% 14.23/10.30 tff(21129,plain,
% 14.23/10.30 (![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21128, 1448, 21090])).
% 14.23/10.30 tff(21130,plain,
% 14.23/10.30 (((~![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)))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21131,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21132,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 14.23/10.30 tff(21133,plain,
% 14.23/10.30 (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21132, 579, 21129])).
% 14.23/10.30 tff(21134,plain,
% 14.23/10.30 (((~![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))))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21135,plain,
% 14.23/10.30 ((~![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))))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21136,plain,
% 14.23/10.30 ((~![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)))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21135, 21134])).
% 14.23/10.30 tff(21137,plain,
% 14.23/10.30 ((~v121(constB125)) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21136, 1832])).
% 14.23/10.30 tff(21138,plain,
% 14.23/10.30 (![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21137, 21061])).
% 14.23/10.30 tff(21139,plain,
% 14.23/10.30 (((~![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)))),
% 14.23/10.30 inference(rewrite,[status(thm)],[])).
% 14.23/10.30 tff(21140,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b011(bitIndex2)))),
% 14.23/10.30 inference(quant_inst,[status(thm)],[])).
% 14.23/10.30 tff(21141,plain,
% 14.23/10.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b011(bitIndex2))),
% 14.23/10.30 inference(modus_ponens,[status(thm)],[21140, 21139])).
% 14.23/10.30 tff(21142,plain,
% 14.23/10.30 (v130(constB125, bitIndex2) <=> b011(bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21141, 579, 21138])).
% 14.23/10.30 tff(21143,plain,
% 14.23/10.30 ((~(v130(constB125, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB125, bitIndex2)) | b011(bitIndex2)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21144,plain,
% 14.23/10.30 ((~(v130(constB125, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB125, bitIndex2))),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21143, 1844])).
% 14.23/10.30 tff(21145,plain,
% 14.23/10.30 (~v130(constB125, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21144, 21142])).
% 14.23/10.30 tff(21146,plain,
% 14.23/10.30 ((~(v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2))) | (~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21147,plain,
% 14.23/10.30 (~v127(constB125, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21146, 21145, 21133])).
% 14.23/10.30 tff(21148,plain,
% 14.23/10.30 ((~(v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2))) | (~v129(constB126, bitIndex2)) | v127(constB125, bitIndex2)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21149,plain,
% 14.23/10.30 (~v129(constB126, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21148, 21147, 21125])).
% 14.23/10.30 tff(21150,plain,
% 14.23/10.30 ((~(v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21151,plain,
% 14.23/10.30 (~v90(constB126, bitIndex2)),
% 14.23/10.30 inference(unit_resolution,[status(thm)],[21150, 21149, 21117])).
% 14.23/10.30 tff(21152,plain,
% 14.23/10.30 ((~(v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2))) | (~v90(constB127, bitIndex2)) | v90(constB126, bitIndex2)),
% 14.23/10.30 inference(tautology,[status(thm)],[])).
% 14.23/10.30 tff(21153,plain,
% 14.23/10.30 (~v90(constB127, bitIndex2)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21152, 21151, 21003])).
% 14.23/10.31 tff(21154,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21155,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21156,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 14.23/10.31 tff(21157,plain,
% 14.23/10.31 (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21156, 1275, 20999])).
% 14.23/10.31 tff(21158,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21159,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21160,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 14.23/10.31 tff(21161,plain,
% 14.23/10.31 (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21160, 1275, 21113])).
% 14.23/10.31 tff(21162,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21163,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21164,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21163, 21162])).
% 14.23/10.31 tff(21165,plain,
% 14.23/10.31 (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21164, 1275, 21121])).
% 14.23/10.31 tff(21166,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21167,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21168,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 14.23/10.31 tff(21169,plain,
% 14.23/10.31 (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21168, 1275, 21129])).
% 14.23/10.31 tff(21170,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21171,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b011(bitIndex0)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21172,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b011(bitIndex0))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21171, 21170])).
% 14.23/10.31 tff(21173,plain,
% 14.23/10.31 (v130(constB125, bitIndex0) <=> b011(bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21172, 1275, 21138])).
% 14.23/10.31 tff(21174,plain,
% 14.23/10.31 ((~(v130(constB125, bitIndex0) <=> b011(bitIndex0))) | v130(constB125, bitIndex0) | (~b011(bitIndex0))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21175,plain,
% 14.23/10.31 ((~(v130(constB125, bitIndex0) <=> b011(bitIndex0))) | v130(constB125, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21174, 1878])).
% 14.23/10.31 tff(21176,plain,
% 14.23/10.31 (v130(constB125, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21175, 21173])).
% 14.23/10.31 tff(21177,plain,
% 14.23/10.31 ((~(v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0))) | v127(constB125, bitIndex0) | (~v130(constB125, bitIndex0))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21178,plain,
% 14.23/10.31 (v127(constB125, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21177, 21176, 21169])).
% 14.23/10.31 tff(21179,plain,
% 14.23/10.31 ((~(v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0))) | v129(constB126, bitIndex0) | (~v127(constB125, bitIndex0))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21180,plain,
% 14.23/10.31 (v129(constB126, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21179, 21178, 21165])).
% 14.23/10.31 tff(21181,plain,
% 14.23/10.31 ((~(v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21182,plain,
% 14.23/10.31 (v90(constB126, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21181, 21180, 21161])).
% 14.23/10.31 tff(21183,plain,
% 14.23/10.31 ((~(v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0))) | v90(constB127, bitIndex0) | (~v90(constB126, bitIndex0))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21184,plain,
% 14.23/10.31 (v90(constB127, bitIndex0)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21183, 21182, 21157])).
% 14.23/10.31 tff(21185,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21186,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21187,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 14.23/10.31 tff(21188,plain,
% 14.23/10.31 (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21187, 1288, 20999])).
% 14.23/10.31 tff(21189,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21190,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21191,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 14.23/10.31 tff(21192,plain,
% 14.23/10.31 (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21191, 1288, 21113])).
% 14.23/10.31 tff(21193,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21194,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21195,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 14.23/10.31 tff(21196,plain,
% 14.23/10.31 (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21195, 1288, 21121])).
% 14.23/10.31 tff(21197,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21198,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21199,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21198, 21197])).
% 14.23/10.31 tff(21200,plain,
% 14.23/10.31 (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21199, 1288, 21129])).
% 14.23/10.31 tff(21201,plain,
% 14.23/10.31 (((~![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)))),
% 14.23/10.31 inference(rewrite,[status(thm)],[])).
% 14.23/10.31 tff(21202,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b011(bitIndex1)))),
% 14.23/10.31 inference(quant_inst,[status(thm)],[])).
% 14.23/10.31 tff(21203,plain,
% 14.23/10.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b011(bitIndex1))),
% 14.23/10.31 inference(modus_ponens,[status(thm)],[21202, 21201])).
% 14.23/10.31 tff(21204,plain,
% 14.23/10.31 (v130(constB125, bitIndex1) <=> b011(bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21203, 1288, 21138])).
% 14.23/10.31 tff(21205,plain,
% 14.23/10.31 ((~(v130(constB125, bitIndex1) <=> b011(bitIndex1))) | v130(constB125, bitIndex1) | (~b011(bitIndex1))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21206,plain,
% 14.23/10.31 ((~(v130(constB125, bitIndex1) <=> b011(bitIndex1))) | v130(constB125, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21205, 1912])).
% 14.23/10.31 tff(21207,plain,
% 14.23/10.31 (v130(constB125, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21206, 21204])).
% 14.23/10.31 tff(21208,plain,
% 14.23/10.31 ((~(v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1))) | v127(constB125, bitIndex1) | (~v130(constB125, bitIndex1))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21209,plain,
% 14.23/10.31 (v127(constB125, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21208, 21207, 21200])).
% 14.23/10.31 tff(21210,plain,
% 14.23/10.31 ((~(v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1))) | v129(constB126, bitIndex1) | (~v127(constB125, bitIndex1))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21211,plain,
% 14.23/10.31 (v129(constB126, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21210, 21209, 21196])).
% 14.23/10.31 tff(21212,plain,
% 14.23/10.31 ((~(v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21213,plain,
% 14.23/10.31 (v90(constB126, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21212, 21211, 21192])).
% 14.23/10.31 tff(21214,plain,
% 14.23/10.31 ((~(v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1))) | v90(constB127, bitIndex1) | (~v90(constB126, bitIndex1))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21215,plain,
% 14.23/10.31 (v90(constB127, bitIndex1)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21214, 21213, 21188])).
% 14.23/10.31 tff(21216,plain,
% 14.23/10.31 ((~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21217,plain,
% 14.23/10.31 (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21216, 21215, 21184, 21153])).
% 14.23/10.31 tff(21218,plain,
% 14.23/10.31 ((~(v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))) | v122(constB127) | (v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21219,plain,
% 14.23/10.31 (v122(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21218, 21217, 20974])).
% 14.23/10.31 tff(21220,plain,
% 14.23/10.31 ((v117(constB127) | v122(constB127)) | (~v122(constB127))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21221,plain,
% 14.23/10.31 (v117(constB127) | v122(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21220, 21219])).
% 14.23/10.31 tff(21222,plain,
% 14.23/10.31 ((~(v116(constB127) <=> (v117(constB127) | v122(constB127)))) | v116(constB127) | (~(v117(constB127) | v122(constB127)))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21223,plain,
% 14.23/10.31 (v116(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21222, 21221, 20967])).
% 14.23/10.31 tff(21224,plain,
% 14.23/10.31 ((v116(constB127) | v123(constB127)) | (~v116(constB127))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21225,plain,
% 14.23/10.31 (v116(constB127) | v123(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21224, 21223])).
% 14.23/10.31 tff(21226,plain,
% 14.23/10.31 ((~(v115(constB127) <=> (v116(constB127) | v123(constB127)))) | v115(constB127) | (~(v116(constB127) | v123(constB127)))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21227,plain,
% 14.23/10.31 (v115(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21226, 21225, 20965])).
% 14.23/10.31 tff(21228,plain,
% 14.23/10.31 ((v115(constB127) | v124(constB127)) | (~v115(constB127))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21229,plain,
% 14.23/10.31 (v115(constB127) | v124(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21228, 21227])).
% 14.23/10.31 tff(21230,plain,
% 14.23/10.31 ((~(v114(constB127) <=> (v115(constB127) | v124(constB127)))) | v114(constB127) | (~(v115(constB127) | v124(constB127)))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21231,plain,
% 14.23/10.31 (v114(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21230, 21229, 20963])).
% 14.23/10.31 tff(21232,plain,
% 14.23/10.31 ((v114(constB127) | v125(constB127)) | (~v114(constB127))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21233,plain,
% 14.23/10.31 (v114(constB127) | v125(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21232, 21231])).
% 14.23/10.31 tff(21234,plain,
% 14.23/10.31 ((~(v113(constB127) <=> (v114(constB127) | v125(constB127)))) | v113(constB127) | (~(v114(constB127) | v125(constB127)))),
% 14.23/10.31 inference(tautology,[status(thm)],[])).
% 14.23/10.31 tff(21235,plain,
% 14.23/10.31 (v113(constB127)),
% 14.23/10.31 inference(unit_resolution,[status(thm)],[21234, 21233, 20961])).
% 14.23/10.32 tff(21236,plain,
% 14.23/10.32 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB127)) <=> v111(constB127))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21237,plain,
% 14.23/10.32 ((~v126(constB127)) <=> v111(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21236, 1345])).
% 14.23/10.32 tff(21238,plain,
% 14.23/10.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB127) <=> v26(constB127))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21239,plain,
% 14.23/10.32 (v111(constB127) <=> v26(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21238, 1357])).
% 14.23/10.32 tff(21240,plain,
% 14.23/10.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21241,plain,
% 14.23/10.32 (~v26(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21240, 1369])).
% 14.23/10.32 tff(21242,plain,
% 14.23/10.32 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127)) | v26(constB127)),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21243,plain,
% 14.23/10.32 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21242, 21241])).
% 14.23/10.32 tff(21244,plain,
% 14.23/10.32 (~v111(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21243, 21239])).
% 14.23/10.32 tff(21245,plain,
% 14.23/10.32 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127) | v111(constB127)),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21246,plain,
% 14.23/10.32 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21245, 21244])).
% 14.23/10.32 tff(21247,plain,
% 14.23/10.32 (v126(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21246, 21237])).
% 14.23/10.32 tff(21248,plain,
% 14.23/10.32 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127)) | (~v126(constB127))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21249,plain,
% 14.23/10.32 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21248, 21247])).
% 14.23/10.32 tff(21250,plain,
% 14.23/10.32 (~((~v113(constB127)) | (~v126(constB127)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21249, 21235])).
% 14.23/10.32 tff(21251,plain,
% 14.23/10.32 ((~(v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))) | v112(constB127) | ((~v113(constB127)) | (~v126(constB127)))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21252,plain,
% 14.23/10.32 (v112(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21251, 21250, 20959])).
% 14.23/10.32 tff(21253,plain,
% 14.23/10.32 ((v111(constB127) | v112(constB127)) | (~v112(constB127))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21254,plain,
% 14.23/10.32 (v111(constB127) | v112(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21253, 21252])).
% 14.23/10.32 tff(21255,plain,
% 14.23/10.32 ((~(v108(constB127) <=> (v111(constB127) | v112(constB127)))) | v108(constB127) | (~(v111(constB127) | v112(constB127)))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21256,plain,
% 14.23/10.32 (v108(constB127)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21255, 21254, 20957])).
% 14.23/10.32 tff(21257,plain,
% 14.23/10.32 ((~(v110(constB128) <=> v108(constB127))) | v110(constB128) | (~v108(constB127))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21258,plain,
% 14.23/10.32 (v110(constB128)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21257, 21256, 20955])).
% 14.23/10.32 tff(21259,plain,
% 14.23/10.32 ((~((~v101(constB128)) | (~v110(constB128)))) | (~v101(constB128)) | (~v110(constB128))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21260,plain,
% 14.23/10.32 (~((~v101(constB128)) | (~v110(constB128)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21259, 21258, 20951])).
% 14.23/10.32 tff(21261,plain,
% 14.23/10.32 ((~(v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))) | v100(constB128) | ((~v101(constB128)) | (~v110(constB128)))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21262,plain,
% 14.23/10.32 (v100(constB128)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21261, 21260, 20920])).
% 14.23/10.32 tff(21263,plain,
% 14.23/10.32 (((~![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))))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21264,plain,
% 14.23/10.32 ((~![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))))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21265,plain,
% 14.23/10.32 ((~![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)))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 14.23/10.32 tff(21266,plain,
% 14.23/10.32 ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21265, 1405])).
% 14.23/10.32 tff(21267,plain,
% 14.23/10.32 (![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21266, 21262])).
% 14.23/10.32 tff(21268,plain,
% 14.23/10.32 (((~![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)))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21269,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21270,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 14.23/10.32 tff(21271,plain,
% 14.23/10.32 (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21270, 579, 21267])).
% 14.23/10.32 tff(21272,plain,
% 14.23/10.32 (((~![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))))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21273,plain,
% 14.23/10.32 ((~![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))))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21274,plain,
% 14.23/10.32 ((~![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)))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21273, 21272])).
% 14.23/10.32 tff(21275,plain,
% 14.23/10.32 (![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21274, 20916, 1427])).
% 14.23/10.32 tff(21276,plain,
% 14.23/10.32 (((~![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)))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21277,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21278,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 14.23/10.32 tff(21279,plain,
% 14.23/10.32 (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21278, 579, 21275])).
% 14.23/10.32 tff(21280,plain,
% 14.23/10.32 (((~![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))))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21281,plain,
% 14.23/10.32 ((~![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))))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21282,plain,
% 14.23/10.32 ((~![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)))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21281, 21280])).
% 14.23/10.32 tff(21283,plain,
% 14.23/10.32 (![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21282, 1448, 21244])).
% 14.23/10.32 tff(21284,plain,
% 14.23/10.32 (((~![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)))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21285,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21286,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 14.23/10.32 tff(21287,plain,
% 14.23/10.32 (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21286, 579, 21283])).
% 14.23/10.32 tff(21288,plain,
% 14.23/10.32 (((~![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))))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21289,plain,
% 14.23/10.32 ((~![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))))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21290,plain,
% 14.23/10.32 ((~![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)))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 14.23/10.32 tff(21291,plain,
% 14.23/10.32 ((~v122(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21290, 2008])).
% 14.23/10.32 tff(21292,plain,
% 14.23/10.32 (![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21291, 21219])).
% 14.23/10.32 tff(21293,plain,
% 14.23/10.32 (((~![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)))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21294,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b100(bitIndex2)))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21295,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b100(bitIndex2))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 14.23/10.32 tff(21296,plain,
% 14.23/10.32 (v130(constB127, bitIndex2) <=> b100(bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21295, 579, 21292])).
% 14.23/10.32 tff(21297,plain,
% 14.23/10.32 ((~(v130(constB127, bitIndex2) <=> b100(bitIndex2))) | v130(constB127, bitIndex2) | (~b100(bitIndex2))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21298,plain,
% 14.23/10.32 ((~(v130(constB127, bitIndex2) <=> b100(bitIndex2))) | v130(constB127, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21297, 2020])).
% 14.23/10.32 tff(21299,plain,
% 14.23/10.32 (v130(constB127, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21298, 21296])).
% 14.23/10.32 tff(21300,plain,
% 14.23/10.32 ((~(v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2))) | v127(constB127, bitIndex2) | (~v130(constB127, bitIndex2))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21301,plain,
% 14.23/10.32 (v127(constB127, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21300, 21299, 21287])).
% 14.23/10.32 tff(21302,plain,
% 14.23/10.32 ((~(v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2))) | v129(constB128, bitIndex2) | (~v127(constB127, bitIndex2))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21303,plain,
% 14.23/10.32 (v129(constB128, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21302, 21301, 21279])).
% 14.23/10.32 tff(21304,plain,
% 14.23/10.32 ((~(v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21305,plain,
% 14.23/10.32 (v90(constB128, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21304, 21303, 21271])).
% 14.23/10.32 tff(21306,plain,
% 14.23/10.32 ((~(v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2))) | v90(constB129, bitIndex2) | (~v90(constB128, bitIndex2))),
% 14.23/10.32 inference(tautology,[status(thm)],[])).
% 14.23/10.32 tff(21307,plain,
% 14.23/10.32 (v90(constB129, bitIndex2)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21306, 21305, 20913])).
% 14.23/10.32 tff(21308,plain,
% 14.23/10.32 (((~![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)))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21309,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21310,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0))),
% 14.23/10.32 inference(modus_ponens,[status(thm)],[21309, 21308])).
% 14.23/10.32 tff(21311,plain,
% 14.23/10.32 (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)),
% 14.23/10.32 inference(unit_resolution,[status(thm)],[21310, 1275, 20909])).
% 14.23/10.32 tff(21312,plain,
% 14.23/10.32 (((~![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)))),
% 14.23/10.32 inference(rewrite,[status(thm)],[])).
% 14.23/10.32 tff(21313,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))),
% 14.23/10.32 inference(quant_inst,[status(thm)],[])).
% 14.23/10.32 tff(21314,plain,
% 14.23/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 14.23/10.33 tff(21315,plain,
% 14.23/10.33 (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21314, 1275, 21267])).
% 14.23/10.33 tff(21316,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21317,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21318,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 14.23/10.33 tff(21319,plain,
% 14.23/10.33 (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21318, 1275, 21275])).
% 14.23/10.33 tff(21320,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21321,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21322,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 14.23/10.33 tff(21323,plain,
% 14.23/10.33 (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21322, 1275, 21283])).
% 14.23/10.33 tff(21324,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21325,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b100(bitIndex0)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21326,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b100(bitIndex0))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 14.23/10.33 tff(21327,plain,
% 14.23/10.33 (v130(constB127, bitIndex0) <=> b100(bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21326, 1275, 21292])).
% 14.23/10.33 tff(21328,plain,
% 14.23/10.33 ((~(v130(constB127, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB127, bitIndex0)) | b100(bitIndex0)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21329,plain,
% 14.23/10.33 ((~(v130(constB127, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB127, bitIndex0))),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21328, 2054])).
% 14.23/10.33 tff(21330,plain,
% 14.23/10.33 (~v130(constB127, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21329, 21327])).
% 14.23/10.33 tff(21331,plain,
% 14.23/10.33 ((~(v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0))) | (~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21332,plain,
% 14.23/10.33 (~v127(constB127, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21331, 21330, 21323])).
% 14.23/10.33 tff(21333,plain,
% 14.23/10.33 ((~(v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0))) | (~v129(constB128, bitIndex0)) | v127(constB127, bitIndex0)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21334,plain,
% 14.23/10.33 (~v129(constB128, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21333, 21332, 21319])).
% 14.23/10.33 tff(21335,plain,
% 14.23/10.33 ((~(v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21336,plain,
% 14.23/10.33 (~v90(constB128, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21335, 21334, 21315])).
% 14.23/10.33 tff(21337,plain,
% 14.23/10.33 ((~(v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0))) | (~v90(constB129, bitIndex0)) | v90(constB128, bitIndex0)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21338,plain,
% 14.23/10.33 (~v90(constB129, bitIndex0)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21337, 21336, 21311])).
% 14.23/10.33 tff(21339,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21340,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21341,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21340, 21339])).
% 14.23/10.33 tff(21342,plain,
% 14.23/10.33 (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21341, 1288, 20909])).
% 14.23/10.33 tff(21343,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21344,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21345,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21344, 21343])).
% 14.23/10.33 tff(21346,plain,
% 14.23/10.33 (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21345, 1288, 21267])).
% 14.23/10.33 tff(21347,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21348,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21349,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21348, 21347])).
% 14.23/10.33 tff(21350,plain,
% 14.23/10.33 (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21349, 1288, 21275])).
% 14.23/10.33 tff(21351,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21352,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21353,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21352, 21351])).
% 14.23/10.33 tff(21354,plain,
% 14.23/10.33 (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21353, 1288, 21283])).
% 14.23/10.33 tff(21355,plain,
% 14.23/10.33 (((~![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)))),
% 14.23/10.33 inference(rewrite,[status(thm)],[])).
% 14.23/10.33 tff(21356,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b100(bitIndex1)))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21357,plain,
% 14.23/10.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b100(bitIndex1))),
% 14.23/10.33 inference(modus_ponens,[status(thm)],[21356, 21355])).
% 14.23/10.33 tff(21358,plain,
% 14.23/10.33 (v130(constB127, bitIndex1) <=> b100(bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21357, 1288, 21292])).
% 14.23/10.33 tff(21359,plain,
% 14.23/10.33 ((~(v130(constB127, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB127, bitIndex1)) | b100(bitIndex1)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21360,plain,
% 14.23/10.33 ((~(v130(constB127, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB127, bitIndex1))),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21359, 2088])).
% 14.23/10.33 tff(21361,plain,
% 14.23/10.33 (~v130(constB127, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21360, 21358])).
% 14.23/10.33 tff(21362,plain,
% 14.23/10.33 ((~(v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1))) | (~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21363,plain,
% 14.23/10.33 (~v127(constB127, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21362, 21361, 21354])).
% 14.23/10.33 tff(21364,plain,
% 14.23/10.33 ((~(v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1))) | (~v129(constB128, bitIndex1)) | v127(constB127, bitIndex1)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21365,plain,
% 14.23/10.33 (~v129(constB128, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21364, 21363, 21350])).
% 14.23/10.33 tff(21366,plain,
% 14.23/10.33 ((~(v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21367,plain,
% 14.23/10.33 (~v90(constB128, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21366, 21365, 21346])).
% 14.23/10.33 tff(21368,plain,
% 14.23/10.33 ((~(v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1))) | (~v90(constB129, bitIndex1)) | v90(constB128, bitIndex1)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21369,plain,
% 14.23/10.33 (~v90(constB129, bitIndex1)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21368, 21367, 21342])).
% 14.23/10.33 tff(21370,plain,
% 14.23/10.33 ((~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))) | (~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21371,plain,
% 14.23/10.33 (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21370, 21369, 21338, 21307])).
% 14.23/10.33 tff(21372,plain,
% 14.23/10.33 ((~(v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))) | v123(constB129) | ((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21373,plain,
% 14.23/10.33 (v123(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21372, 21371, 20881])).
% 14.23/10.33 tff(21374,plain,
% 14.23/10.33 ((v116(constB129) | v123(constB129)) | (~v123(constB129))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21375,plain,
% 14.23/10.33 (v116(constB129) | v123(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21374, 21373])).
% 14.23/10.33 tff(21376,plain,
% 14.23/10.33 ((~(v115(constB129) <=> (v116(constB129) | v123(constB129)))) | v115(constB129) | (~(v116(constB129) | v123(constB129)))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21377,plain,
% 14.23/10.33 (v115(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21376, 21375, 20874])).
% 14.23/10.33 tff(21378,plain,
% 14.23/10.33 ((v115(constB129) | v124(constB129)) | (~v115(constB129))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21379,plain,
% 14.23/10.33 (v115(constB129) | v124(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21378, 21377])).
% 14.23/10.33 tff(21380,plain,
% 14.23/10.33 ((~(v114(constB129) <=> (v115(constB129) | v124(constB129)))) | v114(constB129) | (~(v115(constB129) | v124(constB129)))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21381,plain,
% 14.23/10.33 (v114(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21380, 21379, 20872])).
% 14.23/10.33 tff(21382,plain,
% 14.23/10.33 ((v114(constB129) | v125(constB129)) | (~v114(constB129))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21383,plain,
% 14.23/10.33 (v114(constB129) | v125(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21382, 21381])).
% 14.23/10.33 tff(21384,plain,
% 14.23/10.33 ((~(v113(constB129) <=> (v114(constB129) | v125(constB129)))) | v113(constB129) | (~(v114(constB129) | v125(constB129)))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21385,plain,
% 14.23/10.33 (v113(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21384, 21383, 20870])).
% 14.23/10.33 tff(21386,plain,
% 14.23/10.33 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB129)) <=> v111(constB129))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21387,plain,
% 14.23/10.33 ((~v126(constB129)) <=> v111(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21386, 1345])).
% 14.23/10.33 tff(21388,plain,
% 14.23/10.33 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB129) <=> v26(constB129))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21389,plain,
% 14.23/10.33 (v111(constB129) <=> v26(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21388, 1357])).
% 14.23/10.33 tff(21390,plain,
% 14.23/10.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 14.23/10.33 inference(quant_inst,[status(thm)],[])).
% 14.23/10.33 tff(21391,plain,
% 14.23/10.33 (~v26(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21390, 1369])).
% 14.23/10.33 tff(21392,plain,
% 14.23/10.33 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129)) | v26(constB129)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21393,plain,
% 14.23/10.33 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129))),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21392, 21391])).
% 14.23/10.33 tff(21394,plain,
% 14.23/10.33 (~v111(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21393, 21389])).
% 14.23/10.33 tff(21395,plain,
% 14.23/10.33 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129) | v111(constB129)),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21396,plain,
% 14.23/10.33 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21395, 21394])).
% 14.23/10.33 tff(21397,plain,
% 14.23/10.33 (v126(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21396, 21387])).
% 14.23/10.33 tff(21398,plain,
% 14.23/10.33 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129)) | (~v126(constB129))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21399,plain,
% 14.23/10.33 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129))),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21398, 21397])).
% 14.23/10.33 tff(21400,plain,
% 14.23/10.33 (~((~v113(constB129)) | (~v126(constB129)))),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21399, 21385])).
% 14.23/10.33 tff(21401,plain,
% 14.23/10.33 ((~(v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))) | v112(constB129) | ((~v113(constB129)) | (~v126(constB129)))),
% 14.23/10.33 inference(tautology,[status(thm)],[])).
% 14.23/10.33 tff(21402,plain,
% 14.23/10.33 (v112(constB129)),
% 14.23/10.33 inference(unit_resolution,[status(thm)],[21401, 21400, 20868])).
% 14.23/10.34 tff(21403,plain,
% 14.23/10.34 ((v111(constB129) | v112(constB129)) | (~v112(constB129))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21404,plain,
% 14.23/10.34 (v111(constB129) | v112(constB129)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21403, 21402])).
% 14.23/10.34 tff(21405,plain,
% 14.23/10.34 ((~(v108(constB129) <=> (v111(constB129) | v112(constB129)))) | v108(constB129) | (~(v111(constB129) | v112(constB129)))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21406,plain,
% 14.23/10.34 (v108(constB129)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21405, 21404, 20866])).
% 14.23/10.34 tff(21407,plain,
% 14.23/10.34 ((~(v110(constB130) <=> v108(constB129))) | v110(constB130) | (~v108(constB129))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21408,plain,
% 14.23/10.34 (v110(constB130)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21407, 21406, 20864])).
% 14.23/10.34 tff(21409,plain,
% 14.23/10.34 ((~((~v101(constB130)) | (~v110(constB130)))) | (~v101(constB130)) | (~v110(constB130))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21410,plain,
% 14.23/10.34 (~((~v101(constB130)) | (~v110(constB130)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21409, 21408, 20860])).
% 14.23/10.34 tff(21411,plain,
% 14.23/10.34 ((~(v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))) | v100(constB130) | ((~v101(constB130)) | (~v110(constB130)))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21412,plain,
% 14.23/10.34 (v100(constB130)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21411, 21410, 20829])).
% 14.23/10.34 tff(21413,plain,
% 14.23/10.34 (((~![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))))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21414,plain,
% 14.23/10.34 ((~![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))))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21415,plain,
% 14.23/10.34 ((~![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)))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21414, 21413])).
% 14.23/10.34 tff(21416,plain,
% 14.23/10.34 ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21415, 1405])).
% 14.23/10.34 tff(21417,plain,
% 14.23/10.34 (![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21416, 21412])).
% 14.23/10.34 tff(21418,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21419,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21420,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21419, 21418])).
% 14.23/10.34 tff(21421,plain,
% 14.23/10.34 (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21420, 579, 21417])).
% 14.23/10.34 tff(21422,plain,
% 14.23/10.34 (((~![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))))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21423,plain,
% 14.23/10.34 ((~![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))))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21424,plain,
% 14.23/10.34 ((~![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)))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21423, 21422])).
% 14.23/10.34 tff(21425,plain,
% 14.23/10.34 (![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21424, 20825, 1427])).
% 14.23/10.34 tff(21426,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21427,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21428,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21427, 21426])).
% 14.23/10.34 tff(21429,plain,
% 14.23/10.34 (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21428, 579, 21425])).
% 14.23/10.34 tff(21430,plain,
% 14.23/10.34 (((~![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))))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21431,plain,
% 14.23/10.34 ((~![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))))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21432,plain,
% 14.23/10.34 ((~![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)))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 14.23/10.34 tff(21433,plain,
% 14.23/10.34 (![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21432, 1448, 21394])).
% 14.23/10.34 tff(21434,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21435,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21436,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21435, 21434])).
% 14.23/10.34 tff(21437,plain,
% 14.23/10.34 (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21436, 579, 21433])).
% 14.23/10.34 tff(21438,plain,
% 14.23/10.34 (((~![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))))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21439,plain,
% 14.23/10.34 ((~![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))))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21440,plain,
% 14.23/10.34 ((~![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)))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 14.23/10.34 tff(21441,plain,
% 14.23/10.34 ((~v123(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21440, 2180])).
% 14.23/10.34 tff(21442,plain,
% 14.23/10.34 (![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21441, 21373])).
% 14.23/10.34 tff(21443,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21444,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b101(bitIndex2)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21445,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b101(bitIndex2))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 14.23/10.34 tff(21446,plain,
% 14.23/10.34 (v130(constB129, bitIndex2) <=> b101(bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21445, 579, 21442])).
% 14.23/10.34 tff(21447,plain,
% 14.23/10.34 ((~(v130(constB129, bitIndex2) <=> b101(bitIndex2))) | v130(constB129, bitIndex2) | (~b101(bitIndex2))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21448,plain,
% 14.23/10.34 ((~(v130(constB129, bitIndex2) <=> b101(bitIndex2))) | v130(constB129, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21447, 2192])).
% 14.23/10.34 tff(21449,plain,
% 14.23/10.34 (v130(constB129, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21448, 21446])).
% 14.23/10.34 tff(21450,plain,
% 14.23/10.34 ((~(v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2))) | v127(constB129, bitIndex2) | (~v130(constB129, bitIndex2))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21451,plain,
% 14.23/10.34 (v127(constB129, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21450, 21449, 21437])).
% 14.23/10.34 tff(21452,plain,
% 14.23/10.34 ((~(v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2))) | v129(constB130, bitIndex2) | (~v127(constB129, bitIndex2))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21453,plain,
% 14.23/10.34 (v129(constB130, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21452, 21451, 21429])).
% 14.23/10.34 tff(21454,plain,
% 14.23/10.34 ((~(v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21455,plain,
% 14.23/10.34 (v90(constB130, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21454, 21453, 21421])).
% 14.23/10.34 tff(21456,plain,
% 14.23/10.34 ((~(v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2))) | v90(constB131, bitIndex2) | (~v90(constB130, bitIndex2))),
% 14.23/10.34 inference(tautology,[status(thm)],[])).
% 14.23/10.34 tff(21457,plain,
% 14.23/10.34 (v90(constB131, bitIndex2)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21456, 21455, 20822])).
% 14.23/10.34 tff(21458,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21459,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21460,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 14.23/10.34 tff(21461,plain,
% 14.23/10.34 (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21460, 1275, 20818])).
% 14.23/10.34 tff(21462,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21463,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21464,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21463, 21462])).
% 14.23/10.34 tff(21465,plain,
% 14.23/10.34 (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21464, 1275, 21417])).
% 14.23/10.34 tff(21466,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21467,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21468,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21467, 21466])).
% 14.23/10.34 tff(21469,plain,
% 14.23/10.34 (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21468, 1275, 21425])).
% 14.23/10.34 tff(21470,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.34 inference(rewrite,[status(thm)],[])).
% 14.23/10.34 tff(21471,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))),
% 14.23/10.34 inference(quant_inst,[status(thm)],[])).
% 14.23/10.34 tff(21472,plain,
% 14.23/10.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0))),
% 14.23/10.34 inference(modus_ponens,[status(thm)],[21471, 21470])).
% 14.23/10.34 tff(21473,plain,
% 14.23/10.34 (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)),
% 14.23/10.34 inference(unit_resolution,[status(thm)],[21472, 1275, 21433])).
% 14.23/10.34 tff(21474,plain,
% 14.23/10.34 (((~![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)))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21475,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b101(bitIndex0)))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21476,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b101(bitIndex0))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 14.23/10.35 tff(21477,plain,
% 14.23/10.35 (v130(constB129, bitIndex0) <=> b101(bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21476, 1275, 21442])).
% 14.23/10.35 tff(21478,plain,
% 14.23/10.35 ((~(v130(constB129, bitIndex0) <=> b101(bitIndex0))) | v130(constB129, bitIndex0) | (~b101(bitIndex0))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21479,plain,
% 14.23/10.35 ((~(v130(constB129, bitIndex0) <=> b101(bitIndex0))) | v130(constB129, bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21478, 2351])).
% 14.23/10.35 tff(21480,plain,
% 14.23/10.35 (v130(constB129, bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21479, 21477])).
% 14.23/10.35 tff(21481,plain,
% 14.23/10.35 ((~(v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0))) | v127(constB129, bitIndex0) | (~v130(constB129, bitIndex0))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21482,plain,
% 14.23/10.35 (v127(constB129, bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21481, 21480, 21473])).
% 14.23/10.35 tff(21483,plain,
% 14.23/10.35 ((~(v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0))) | v129(constB130, bitIndex0) | (~v127(constB129, bitIndex0))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21484,plain,
% 14.23/10.35 (v129(constB130, bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21483, 21482, 21469])).
% 14.23/10.35 tff(21485,plain,
% 14.23/10.35 ((~(v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21486,plain,
% 14.23/10.35 (v90(constB130, bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21485, 21484, 21465])).
% 14.23/10.35 tff(21487,plain,
% 14.23/10.35 ((~(v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0))) | v90(constB131, bitIndex0) | (~v90(constB130, bitIndex0))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21488,plain,
% 14.23/10.35 (v90(constB131, bitIndex0)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21487, 21486, 21461])).
% 14.23/10.35 tff(21489,plain,
% 14.23/10.35 (((~![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)))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21490,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21491,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21490, 21489])).
% 14.23/10.35 tff(21492,plain,
% 14.23/10.35 (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21491, 1288, 20818])).
% 14.23/10.35 tff(21493,plain,
% 14.23/10.35 (((~![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)))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21494,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21495,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21494, 21493])).
% 14.23/10.35 tff(21496,plain,
% 14.23/10.35 (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21495, 1288, 21417])).
% 14.23/10.35 tff(21497,plain,
% 14.23/10.35 (((~![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)))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21498,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21499,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21498, 21497])).
% 14.23/10.35 tff(21500,plain,
% 14.23/10.35 (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21499, 1288, 21425])).
% 14.23/10.35 tff(21501,plain,
% 14.23/10.35 (((~![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)))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21502,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21503,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21502, 21501])).
% 14.23/10.35 tff(21504,plain,
% 14.23/10.35 (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21503, 1288, 21433])).
% 14.23/10.35 tff(21505,plain,
% 14.23/10.35 (((~![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)))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21506,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b101(bitIndex1)))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21507,plain,
% 14.23/10.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b101(bitIndex1))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21506, 21505])).
% 14.23/10.35 tff(21508,plain,
% 14.23/10.35 (v130(constB129, bitIndex1) <=> b101(bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21507, 1288, 21442])).
% 14.23/10.35 tff(21509,plain,
% 14.23/10.35 ((~(v130(constB129, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB129, bitIndex1)) | b101(bitIndex1)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21510,plain,
% 14.23/10.35 ((~(v130(constB129, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB129, bitIndex1))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21509, 2391])).
% 14.23/10.35 tff(21511,plain,
% 14.23/10.35 (~v130(constB129, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21510, 21508])).
% 14.23/10.35 tff(21512,plain,
% 14.23/10.35 ((~(v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1))) | (~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21513,plain,
% 14.23/10.35 (~v127(constB129, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21512, 21511, 21504])).
% 14.23/10.35 tff(21514,plain,
% 14.23/10.35 ((~(v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1))) | (~v129(constB130, bitIndex1)) | v127(constB129, bitIndex1)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21515,plain,
% 14.23/10.35 (~v129(constB130, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21514, 21513, 21500])).
% 14.23/10.35 tff(21516,plain,
% 14.23/10.35 ((~(v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21517,plain,
% 14.23/10.35 (~v90(constB130, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21516, 21515, 21496])).
% 14.23/10.35 tff(21518,plain,
% 14.23/10.35 ((~(v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1))) | (~v90(constB131, bitIndex1)) | v90(constB130, bitIndex1)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21519,plain,
% 14.23/10.35 (~v90(constB131, bitIndex1)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21518, 21517, 21492])).
% 14.23/10.35 tff(21520,plain,
% 14.23/10.35 ((~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))) | (~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21521,plain,
% 14.23/10.35 (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21520, 21519, 21488, 21457])).
% 14.23/10.35 tff(21522,plain,
% 14.23/10.35 ((~(v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))) | v124(constB131) | ((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21523,plain,
% 14.23/10.35 (v124(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21522, 21521, 20790])).
% 14.23/10.35 tff(21524,plain,
% 14.23/10.35 ((v115(constB131) | v124(constB131)) | (~v124(constB131))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21525,plain,
% 14.23/10.35 (v115(constB131) | v124(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21524, 21523])).
% 14.23/10.35 tff(21526,plain,
% 14.23/10.35 ((~(v114(constB131) <=> (v115(constB131) | v124(constB131)))) | v114(constB131) | (~(v115(constB131) | v124(constB131)))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21527,plain,
% 14.23/10.35 (v114(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21526, 21525, 20783])).
% 14.23/10.35 tff(21528,plain,
% 14.23/10.35 ((v114(constB131) | v125(constB131)) | (~v114(constB131))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21529,plain,
% 14.23/10.35 (v114(constB131) | v125(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21528, 21527])).
% 14.23/10.35 tff(21530,plain,
% 14.23/10.35 ((~(v113(constB131) <=> (v114(constB131) | v125(constB131)))) | v113(constB131) | (~(v114(constB131) | v125(constB131)))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21531,plain,
% 14.23/10.35 (v113(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21530, 21529, 20781])).
% 14.23/10.35 tff(21532,plain,
% 14.23/10.35 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB131)) <=> v111(constB131))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21533,plain,
% 14.23/10.35 ((~v126(constB131)) <=> v111(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21532, 1345])).
% 14.23/10.35 tff(21534,plain,
% 14.23/10.35 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB131) <=> v26(constB131))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21535,plain,
% 14.23/10.35 (v111(constB131) <=> v26(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21534, 1357])).
% 14.23/10.35 tff(21536,plain,
% 14.23/10.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21537,plain,
% 14.23/10.35 (~v26(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21536, 1369])).
% 14.23/10.35 tff(21538,plain,
% 14.23/10.35 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131)) | v26(constB131)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21539,plain,
% 14.23/10.35 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21538, 21537])).
% 14.23/10.35 tff(21540,plain,
% 14.23/10.35 (~v111(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21539, 21535])).
% 14.23/10.35 tff(21541,plain,
% 14.23/10.35 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131) | v111(constB131)),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21542,plain,
% 14.23/10.35 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21541, 21540])).
% 14.23/10.35 tff(21543,plain,
% 14.23/10.35 (v126(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21542, 21533])).
% 14.23/10.35 tff(21544,plain,
% 14.23/10.35 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131)) | (~v126(constB131))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21545,plain,
% 14.23/10.35 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21544, 21543])).
% 14.23/10.35 tff(21546,plain,
% 14.23/10.35 (~((~v113(constB131)) | (~v126(constB131)))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21545, 21531])).
% 14.23/10.35 tff(21547,plain,
% 14.23/10.35 ((~(v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))) | v112(constB131) | ((~v113(constB131)) | (~v126(constB131)))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21548,plain,
% 14.23/10.35 (v112(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21547, 21546, 20779])).
% 14.23/10.35 tff(21549,plain,
% 14.23/10.35 ((v111(constB131) | v112(constB131)) | (~v112(constB131))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21550,plain,
% 14.23/10.35 (v111(constB131) | v112(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21549, 21548])).
% 14.23/10.35 tff(21551,plain,
% 14.23/10.35 ((~(v108(constB131) <=> (v111(constB131) | v112(constB131)))) | v108(constB131) | (~(v111(constB131) | v112(constB131)))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21552,plain,
% 14.23/10.35 (v108(constB131)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21551, 21550, 20777])).
% 14.23/10.35 tff(21553,plain,
% 14.23/10.35 ((~(v110(constB132) <=> v108(constB131))) | v110(constB132) | (~v108(constB131))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21554,plain,
% 14.23/10.35 (v110(constB132)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21553, 21552, 20775])).
% 14.23/10.35 tff(21555,plain,
% 14.23/10.35 ((~((~v101(constB132)) | (~v110(constB132)))) | (~v101(constB132)) | (~v110(constB132))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21556,plain,
% 14.23/10.35 (~((~v101(constB132)) | (~v110(constB132)))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21555, 21554, 20771])).
% 14.23/10.35 tff(21557,plain,
% 14.23/10.35 ((~(v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))) | v100(constB132) | ((~v101(constB132)) | (~v110(constB132)))),
% 14.23/10.35 inference(tautology,[status(thm)],[])).
% 14.23/10.35 tff(21558,plain,
% 14.23/10.35 (v100(constB132)),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21557, 21556, 20740])).
% 14.23/10.35 tff(21559,plain,
% 14.23/10.35 (((~![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))))),
% 14.23/10.35 inference(rewrite,[status(thm)],[])).
% 14.23/10.35 tff(21560,plain,
% 14.23/10.35 ((~![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))))),
% 14.23/10.35 inference(quant_inst,[status(thm)],[])).
% 14.23/10.35 tff(21561,plain,
% 14.23/10.35 ((~![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)))),
% 14.23/10.35 inference(modus_ponens,[status(thm)],[21560, 21559])).
% 14.23/10.35 tff(21562,plain,
% 14.23/10.35 ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21561, 1405])).
% 14.23/10.35 tff(21563,plain,
% 14.23/10.35 (![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 14.23/10.35 inference(unit_resolution,[status(thm)],[21562, 21558])).
% 14.23/10.35 tff(21564,plain,
% 14.23/10.35 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21565,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21566,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21565, 21564])).
% 14.23/10.36 tff(21567,plain,
% 14.23/10.36 (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21566, 579, 21563])).
% 14.23/10.36 tff(21568,plain,
% 14.23/10.36 (((~![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))))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21569,plain,
% 14.23/10.36 ((~![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))))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21570,plain,
% 14.23/10.36 ((~![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)))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 14.23/10.36 tff(21571,plain,
% 14.23/10.36 (![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21570, 20736, 1427])).
% 14.23/10.36 tff(21572,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21573,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21574,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21573, 21572])).
% 14.23/10.36 tff(21575,plain,
% 14.23/10.36 (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21574, 579, 21571])).
% 14.23/10.36 tff(21576,plain,
% 14.23/10.36 (((~![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))))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21577,plain,
% 14.23/10.36 ((~![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))))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21578,plain,
% 14.23/10.36 ((~![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)))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 14.23/10.36 tff(21579,plain,
% 14.23/10.36 (![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21578, 1448, 21540])).
% 14.23/10.36 tff(21580,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21581,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21582,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 14.23/10.36 tff(21583,plain,
% 14.23/10.36 (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21582, 579, 21579])).
% 14.23/10.36 tff(21584,plain,
% 14.23/10.36 (((~![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))))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21585,plain,
% 14.23/10.36 ((~![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))))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21586,plain,
% 14.23/10.36 ((~![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)))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 14.23/10.36 tff(21587,plain,
% 14.23/10.36 ((~v124(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21586, 2735])).
% 14.23/10.36 tff(21588,plain,
% 14.23/10.36 (![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21587, 21523])).
% 14.23/10.36 tff(21589,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21590,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b110(bitIndex2)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21591,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b110(bitIndex2))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21590, 21589])).
% 14.23/10.36 tff(21592,plain,
% 14.23/10.36 (v130(constB131, bitIndex2) <=> b110(bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21591, 579, 21588])).
% 14.23/10.36 tff(21593,plain,
% 14.23/10.36 ((~(v130(constB131, bitIndex2) <=> b110(bitIndex2))) | v130(constB131, bitIndex2) | (~b110(bitIndex2))),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21594,plain,
% 14.23/10.36 ((~(v130(constB131, bitIndex2) <=> b110(bitIndex2))) | v130(constB131, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21593, 2747])).
% 14.23/10.36 tff(21595,plain,
% 14.23/10.36 (v130(constB131, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21594, 21592])).
% 14.23/10.36 tff(21596,plain,
% 14.23/10.36 ((~(v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2))) | v127(constB131, bitIndex2) | (~v130(constB131, bitIndex2))),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21597,plain,
% 14.23/10.36 (v127(constB131, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21596, 21595, 21583])).
% 14.23/10.36 tff(21598,plain,
% 14.23/10.36 ((~(v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2))) | v129(constB132, bitIndex2) | (~v127(constB131, bitIndex2))),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21599,plain,
% 14.23/10.36 (v129(constB132, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21598, 21597, 21575])).
% 14.23/10.36 tff(21600,plain,
% 14.23/10.36 ((~(v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21601,plain,
% 14.23/10.36 (v90(constB132, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21600, 21599, 21567])).
% 14.23/10.36 tff(21602,plain,
% 14.23/10.36 ((~(v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2))) | v90(constB133, bitIndex2) | (~v90(constB132, bitIndex2))),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21603,plain,
% 14.23/10.36 (v90(constB133, bitIndex2)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21602, 21601, 20733])).
% 14.23/10.36 tff(21604,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21605,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21606,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21605, 21604])).
% 14.23/10.36 tff(21607,plain,
% 14.23/10.36 (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21606, 1275, 20729])).
% 14.23/10.36 tff(21608,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21609,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21610,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 14.23/10.36 tff(21611,plain,
% 14.23/10.36 (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21610, 1275, 21563])).
% 14.23/10.36 tff(21612,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21613,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21614,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21613, 21612])).
% 14.23/10.36 tff(21615,plain,
% 14.23/10.36 (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21614, 1275, 21571])).
% 14.23/10.36 tff(21616,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21617,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21618,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 14.23/10.36 tff(21619,plain,
% 14.23/10.36 (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21618, 1275, 21579])).
% 14.23/10.36 tff(21620,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.36 inference(rewrite,[status(thm)],[])).
% 14.23/10.36 tff(21621,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b110(bitIndex0)))),
% 14.23/10.36 inference(quant_inst,[status(thm)],[])).
% 14.23/10.36 tff(21622,plain,
% 14.23/10.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b110(bitIndex0))),
% 14.23/10.36 inference(modus_ponens,[status(thm)],[21621, 21620])).
% 14.23/10.36 tff(21623,plain,
% 14.23/10.36 (v130(constB131, bitIndex0) <=> b110(bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21622, 1275, 21588])).
% 14.23/10.36 tff(21624,plain,
% 14.23/10.36 ((~(v130(constB131, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB131, bitIndex0)) | b110(bitIndex0)),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21625,plain,
% 14.23/10.36 ((~(v130(constB131, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB131, bitIndex0))),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21624, 2862])).
% 14.23/10.36 tff(21626,plain,
% 14.23/10.36 (~v130(constB131, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21625, 21623])).
% 14.23/10.36 tff(21627,plain,
% 14.23/10.36 ((~(v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0))) | (~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21628,plain,
% 14.23/10.36 (~v127(constB131, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21627, 21626, 21619])).
% 14.23/10.36 tff(21629,plain,
% 14.23/10.36 ((~(v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0))) | (~v129(constB132, bitIndex0)) | v127(constB131, bitIndex0)),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21630,plain,
% 14.23/10.36 (~v129(constB132, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21629, 21628, 21615])).
% 14.23/10.36 tff(21631,plain,
% 14.23/10.36 ((~(v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21632,plain,
% 14.23/10.36 (~v90(constB132, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21631, 21630, 21611])).
% 14.23/10.36 tff(21633,plain,
% 14.23/10.36 ((~(v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0))) | (~v90(constB133, bitIndex0)) | v90(constB132, bitIndex0)),
% 14.23/10.36 inference(tautology,[status(thm)],[])).
% 14.23/10.36 tff(21634,plain,
% 14.23/10.36 (~v90(constB133, bitIndex0)),
% 14.23/10.36 inference(unit_resolution,[status(thm)],[21633, 21632, 21607])).
% 14.23/10.36 tff(21635,plain,
% 14.23/10.36 (((~![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)))),
% 14.23/10.37 inference(rewrite,[status(thm)],[])).
% 14.23/10.37 tff(21636,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))),
% 14.23/10.37 inference(quant_inst,[status(thm)],[])).
% 14.23/10.37 tff(21637,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1))),
% 14.23/10.37 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 14.23/10.37 tff(21638,plain,
% 14.23/10.37 (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)),
% 14.23/10.37 inference(unit_resolution,[status(thm)],[21637, 1288, 20729])).
% 14.23/10.37 tff(21639,plain,
% 14.23/10.37 (((~![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)))),
% 14.23/10.37 inference(rewrite,[status(thm)],[])).
% 14.23/10.37 tff(21640,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))),
% 14.23/10.37 inference(quant_inst,[status(thm)],[])).
% 14.23/10.37 tff(21641,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1))),
% 14.23/10.37 inference(modus_ponens,[status(thm)],[21640, 21639])).
% 14.23/10.37 tff(21642,plain,
% 14.23/10.37 (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)),
% 14.23/10.37 inference(unit_resolution,[status(thm)],[21641, 1288, 21563])).
% 14.23/10.37 tff(21643,plain,
% 14.23/10.37 (((~![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)))),
% 14.23/10.37 inference(rewrite,[status(thm)],[])).
% 14.23/10.37 tff(21644,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))),
% 14.23/10.37 inference(quant_inst,[status(thm)],[])).
% 14.23/10.37 tff(21645,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1))),
% 14.23/10.37 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 14.23/10.37 tff(21646,plain,
% 14.23/10.37 (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)),
% 14.23/10.37 inference(unit_resolution,[status(thm)],[21645, 1288, 21571])).
% 14.23/10.37 tff(21647,plain,
% 14.23/10.37 (((~![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)))),
% 14.23/10.37 inference(rewrite,[status(thm)],[])).
% 14.23/10.37 tff(21648,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))),
% 14.23/10.37 inference(quant_inst,[status(thm)],[])).
% 14.23/10.37 tff(21649,plain,
% 14.23/10.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1))),
% 14.23/10.37 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 14.23/10.37 tff(21650,plain,
% 14.23/10.37 (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)),
% 14.23/10.37 inference(unit_resolution,[status(thm)],[21649, 1288, 21579])).
% 14.23/10.37 tff(21651,plain,
% 14.23/10.37 (((~![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)))),
% 14.23/10.37 inference(rewrite,[status(thm)],[])).
% 14.23/10.37 tff(21652,plain,
% 14.32/10.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b110(bitIndex1)))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21653,plain,
% 14.32/10.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b110(bitIndex1))),
% 14.32/10.37 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 14.32/10.37 tff(21654,plain,
% 14.32/10.37 (v130(constB131, bitIndex1) <=> b110(bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21653, 1288, 21588])).
% 14.32/10.37 tff(21655,plain,
% 14.32/10.37 ((~(v130(constB131, bitIndex1) <=> b110(bitIndex1))) | v130(constB131, bitIndex1) | (~b110(bitIndex1))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21656,plain,
% 14.32/10.37 ((~(v130(constB131, bitIndex1) <=> b110(bitIndex1))) | v130(constB131, bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21655, 2902])).
% 14.32/10.37 tff(21657,plain,
% 14.32/10.37 (v130(constB131, bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21656, 21654])).
% 14.32/10.37 tff(21658,plain,
% 14.32/10.37 ((~(v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1))) | v127(constB131, bitIndex1) | (~v130(constB131, bitIndex1))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21659,plain,
% 14.32/10.37 (v127(constB131, bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21658, 21657, 21650])).
% 14.32/10.37 tff(21660,plain,
% 14.32/10.37 ((~(v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1))) | v129(constB132, bitIndex1) | (~v127(constB131, bitIndex1))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21661,plain,
% 14.32/10.37 (v129(constB132, bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21660, 21659, 21646])).
% 14.32/10.37 tff(21662,plain,
% 14.32/10.37 ((~(v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21663,plain,
% 14.32/10.37 (v90(constB132, bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21662, 21661, 21642])).
% 14.32/10.37 tff(21664,plain,
% 14.32/10.37 ((~(v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1))) | v90(constB133, bitIndex1) | (~v90(constB132, bitIndex1))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21665,plain,
% 14.32/10.37 (v90(constB133, bitIndex1)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21664, 21663, 21638])).
% 14.32/10.37 tff(21666,plain,
% 14.32/10.37 ((~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21667,plain,
% 14.32/10.37 (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21666, 21665, 21634, 21603])).
% 14.32/10.37 tff(21668,plain,
% 14.32/10.37 ((~(v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))) | v125(constB133) | ((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21669,plain,
% 14.32/10.37 (v125(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21668, 21667, 20701])).
% 14.32/10.37 tff(21670,plain,
% 14.32/10.37 ((v114(constB133) | v125(constB133)) | (~v125(constB133))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21671,plain,
% 14.32/10.37 (v114(constB133) | v125(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21670, 21669])).
% 14.32/10.37 tff(21672,plain,
% 14.32/10.37 ((~(v113(constB133) <=> (v114(constB133) | v125(constB133)))) | v113(constB133) | (~(v114(constB133) | v125(constB133)))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21673,plain,
% 14.32/10.37 (v113(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21672, 21671, 20694])).
% 14.32/10.37 tff(21674,plain,
% 14.32/10.37 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB133)) <=> v111(constB133))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21675,plain,
% 14.32/10.37 ((~v126(constB133)) <=> v111(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21674, 1345])).
% 14.32/10.37 tff(21676,plain,
% 14.32/10.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB133) <=> v26(constB133))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21677,plain,
% 14.32/10.37 (v111(constB133) <=> v26(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21676, 1357])).
% 14.32/10.37 tff(21678,plain,
% 14.32/10.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21679,plain,
% 14.32/10.37 (~v26(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21678, 1369])).
% 14.32/10.37 tff(21680,plain,
% 14.32/10.37 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133)) | v26(constB133)),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21681,plain,
% 14.32/10.37 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21680, 21679])).
% 14.32/10.37 tff(21682,plain,
% 14.32/10.37 (~v111(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21681, 21677])).
% 14.32/10.37 tff(21683,plain,
% 14.32/10.37 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133) | v111(constB133)),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21684,plain,
% 14.32/10.37 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21683, 21682])).
% 14.32/10.37 tff(21685,plain,
% 14.32/10.37 (v126(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21684, 21675])).
% 14.32/10.37 tff(21686,plain,
% 14.32/10.37 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133)) | (~v126(constB133))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21687,plain,
% 14.32/10.37 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21686, 21685])).
% 14.32/10.37 tff(21688,plain,
% 14.32/10.37 (~((~v113(constB133)) | (~v126(constB133)))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21687, 21673])).
% 14.32/10.37 tff(21689,plain,
% 14.32/10.37 ((~(v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))) | v112(constB133) | ((~v113(constB133)) | (~v126(constB133)))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21690,plain,
% 14.32/10.37 (v112(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21689, 21688, 20692])).
% 14.32/10.37 tff(21691,plain,
% 14.32/10.37 ((v111(constB133) | v112(constB133)) | (~v112(constB133))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21692,plain,
% 14.32/10.37 (v111(constB133) | v112(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21691, 21690])).
% 14.32/10.37 tff(21693,plain,
% 14.32/10.37 ((~(v108(constB133) <=> (v111(constB133) | v112(constB133)))) | v108(constB133) | (~(v111(constB133) | v112(constB133)))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21694,plain,
% 14.32/10.37 (v108(constB133)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21693, 21692, 20690])).
% 14.32/10.37 tff(21695,plain,
% 14.32/10.37 ((~(v110(constB134) <=> v108(constB133))) | v110(constB134) | (~v108(constB133))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21696,plain,
% 14.32/10.37 (v110(constB134)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21695, 21694, 20688])).
% 14.32/10.37 tff(21697,plain,
% 14.32/10.37 ((~((~v101(constB134)) | (~v110(constB134)))) | (~v101(constB134)) | (~v110(constB134))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21698,plain,
% 14.32/10.37 (~((~v101(constB134)) | (~v110(constB134)))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21697, 21696, 20684])).
% 14.32/10.37 tff(21699,plain,
% 14.32/10.37 ((~(v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))) | v100(constB134) | ((~v101(constB134)) | (~v110(constB134)))),
% 14.32/10.37 inference(tautology,[status(thm)],[])).
% 14.32/10.37 tff(21700,plain,
% 14.32/10.37 (v100(constB134)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21699, 21698, 20653])).
% 14.32/10.37 tff(21701,plain,
% 14.32/10.37 (((~![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))))),
% 14.32/10.37 inference(rewrite,[status(thm)],[])).
% 14.32/10.37 tff(21702,plain,
% 14.32/10.37 ((~![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))))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21703,plain,
% 14.32/10.37 ((~![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)))),
% 14.32/10.37 inference(modus_ponens,[status(thm)],[21702, 21701])).
% 14.32/10.37 tff(21704,plain,
% 14.32/10.37 ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21703, 1405])).
% 14.32/10.37 tff(21705,plain,
% 14.32/10.37 (![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21704, 21700])).
% 14.32/10.37 tff(21706,plain,
% 14.32/10.37 (((~![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)))),
% 14.32/10.37 inference(rewrite,[status(thm)],[])).
% 14.32/10.37 tff(21707,plain,
% 14.32/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21708,plain,
% 14.32/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2))),
% 14.32/10.37 inference(modus_ponens,[status(thm)],[21707, 21706])).
% 14.32/10.37 tff(21709,plain,
% 14.32/10.37 (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21708, 579, 21705])).
% 14.32/10.37 tff(21710,plain,
% 14.32/10.37 (((~![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))))),
% 14.32/10.37 inference(rewrite,[status(thm)],[])).
% 14.32/10.37 tff(21711,plain,
% 14.32/10.37 ((~![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))))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21712,plain,
% 14.32/10.37 ((~![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)))),
% 14.32/10.37 inference(modus_ponens,[status(thm)],[21711, 21710])).
% 14.32/10.37 tff(21713,plain,
% 14.32/10.37 (![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21712, 20649, 1427])).
% 14.32/10.37 tff(21714,plain,
% 14.32/10.37 (((~![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)))),
% 14.32/10.37 inference(rewrite,[status(thm)],[])).
% 14.32/10.37 tff(21715,plain,
% 14.32/10.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))),
% 14.32/10.37 inference(quant_inst,[status(thm)],[])).
% 14.32/10.37 tff(21716,plain,
% 14.32/10.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2))),
% 14.32/10.37 inference(modus_ponens,[status(thm)],[21715, 21714])).
% 14.32/10.37 tff(21717,plain,
% 14.32/10.37 (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)),
% 14.32/10.37 inference(unit_resolution,[status(thm)],[21716, 579, 21713])).
% 14.32/10.37 tff(21718,plain,
% 14.32/10.37 (((~![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))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21719,plain,
% 14.32/10.38 ((~![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))))),
% 14.32/10.38 inference(quant_inst,[status(thm)],[])).
% 14.32/10.38 tff(21720,plain,
% 14.32/10.38 ((~![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)))),
% 14.32/10.38 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 14.32/10.38 tff(21721,plain,
% 14.32/10.38 (![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21720, 1448, 21682])).
% 14.32/10.38 tff(21722,plain,
% 14.32/10.38 (((~![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)))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21723,plain,
% 14.32/10.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))),
% 14.32/10.38 inference(quant_inst,[status(thm)],[])).
% 14.32/10.38 tff(21724,plain,
% 14.32/10.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2))),
% 14.32/10.38 inference(modus_ponens,[status(thm)],[21723, 21722])).
% 14.32/10.38 tff(21725,plain,
% 14.32/10.38 (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21724, 579, 21721])).
% 14.32/10.38 tff(21726,plain,
% 14.32/10.38 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))))),
% 14.32/10.38 inference(quant_inst,[status(thm)],[])).
% 14.32/10.38 tff(21727,plain,
% 14.32/10.38 (v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)))),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21726, 1242])).
% 14.32/10.38 tff(21728,plain,
% 14.32/10.38 ((v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex2))),
% 14.32/10.38 inference(tautology,[status(thm)],[])).
% 14.32/10.38 tff(21729,plain,
% 14.32/10.38 (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21728, 21603])).
% 14.32/10.38 tff(21730,plain,
% 14.32/10.38 ((~(v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))))) | (~v119(constB133)) | (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)))),
% 14.32/10.38 inference(tautology,[status(thm)],[])).
% 14.32/10.38 tff(21731,plain,
% 14.32/10.38 (~v119(constB133)),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21730, 21729, 21727])).
% 14.32/10.38 tff(21732,plain,
% 14.32/10.38 (((~![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))))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21733,plain,
% 14.32/10.38 ((v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2))))) <=> (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21734,plain,
% 14.32/10.38 (((~![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))))))),
% 14.32/10.38 inference(monotonicity,[status(thm)],[21733])).
% 14.32/10.38 tff(21735,plain,
% 14.32/10.38 (((~![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))))))),
% 14.32/10.38 inference(transitivity,[status(thm)],[21734, 21732])).
% 14.32/10.38 tff(21736,plain,
% 14.32/10.38 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))),
% 14.32/10.38 inference(quant_inst,[status(thm)],[])).
% 14.32/10.38 tff(21737,plain,
% 14.32/10.38 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.38 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 14.32/10.38 tff(21738,plain,
% 14.32/10.38 (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21737, 2651])).
% 14.32/10.38 tff(21739,plain,
% 14.32/10.38 (((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex1))),
% 14.32/10.38 inference(tautology,[status(thm)],[])).
% 14.32/10.38 tff(21740,plain,
% 14.32/10.38 ((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21739, 21665])).
% 14.32/10.38 tff(21741,plain,
% 14.32/10.38 ((~(v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))) | (~v124(constB133)) | (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 14.32/10.38 inference(tautology,[status(thm)],[])).
% 14.32/10.38 tff(21742,plain,
% 14.32/10.38 (~v124(constB133)),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21741, 21740, 21738])).
% 14.32/10.38 tff(21743,plain,
% 14.32/10.38 (((~![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)))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21744,plain,
% 14.32/10.38 ((v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))))) <=> (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21745,plain,
% 14.32/10.38 (((~![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)))))),
% 14.32/10.38 inference(monotonicity,[status(thm)],[21744])).
% 14.32/10.38 tff(21746,plain,
% 14.32/10.38 (((~![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)))))),
% 14.32/10.38 inference(transitivity,[status(thm)],[21745, 21743])).
% 14.32/10.38 tff(21747,plain,
% 14.32/10.38 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))),
% 14.32/10.38 inference(quant_inst,[status(thm)],[])).
% 14.32/10.38 tff(21748,plain,
% 14.32/10.38 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))),
% 14.32/10.38 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 14.32/10.38 tff(21749,plain,
% 14.32/10.38 (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21748, 787])).
% 14.32/10.38 tff(21750,plain,
% 14.32/10.38 (((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1))),
% 14.32/10.38 inference(tautology,[status(thm)],[])).
% 14.32/10.38 tff(21751,plain,
% 14.32/10.38 ((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21750, 21665])).
% 14.32/10.38 tff(21752,plain,
% 14.32/10.38 ((~(v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))) | (~v123(constB133)) | (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))),
% 14.32/10.38 inference(tautology,[status(thm)],[])).
% 14.32/10.38 tff(21753,plain,
% 14.32/10.38 (~v123(constB133)),
% 14.32/10.38 inference(unit_resolution,[status(thm)],[21752, 21751, 21749])).
% 14.32/10.38 tff(21754,plain,
% 14.32/10.38 (((~![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))))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21755,plain,
% 14.32/10.38 ((v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1))))) <=> (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.38 inference(rewrite,[status(thm)],[])).
% 14.32/10.38 tff(21756,plain,
% 14.32/10.38 (((~![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))))))),
% 14.32/10.38 inference(monotonicity,[status(thm)],[21755])).
% 14.32/10.38 tff(21757,plain,
% 14.32/10.38 (((~![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))))))),
% 14.32/10.39 inference(transitivity,[status(thm)],[21756, 21754])).
% 14.32/10.39 tff(21758,plain,
% 14.32/10.39 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))),
% 14.32/10.39 inference(quant_inst,[status(thm)],[])).
% 14.32/10.39 tff(21759,plain,
% 14.32/10.39 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.39 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 14.32/10.39 tff(21760,plain,
% 14.32/10.39 (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21759, 900])).
% 14.32/10.39 tff(21761,plain,
% 14.32/10.39 ((v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2))),
% 14.32/10.39 inference(tautology,[status(thm)],[])).
% 14.32/10.39 tff(21762,plain,
% 14.32/10.39 (v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21761, 21603])).
% 14.32/10.39 tff(21763,plain,
% 14.32/10.39 ((~(v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))) | (~v122(constB133)) | (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))),
% 14.32/10.39 inference(tautology,[status(thm)],[])).
% 14.32/10.39 tff(21764,plain,
% 14.32/10.39 (~v122(constB133)),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21763, 21762, 21760])).
% 14.32/10.39 tff(21765,plain,
% 14.32/10.39 (((~![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)))))),
% 14.32/10.39 inference(rewrite,[status(thm)],[])).
% 14.32/10.39 tff(21766,plain,
% 14.32/10.39 ((v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1))))) <=> (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 14.32/10.39 inference(rewrite,[status(thm)],[])).
% 14.32/10.39 tff(21767,plain,
% 14.32/10.39 (((~![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)))))),
% 14.32/10.39 inference(monotonicity,[status(thm)],[21766])).
% 14.32/10.39 tff(21768,plain,
% 14.32/10.39 (((~![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)))))),
% 14.32/10.39 inference(transitivity,[status(thm)],[21767, 21765])).
% 14.32/10.39 tff(21769,plain,
% 14.32/10.39 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))),
% 14.32/10.39 inference(quant_inst,[status(thm)],[])).
% 14.32/10.39 tff(21770,plain,
% 14.32/10.39 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 14.32/10.39 inference(modus_ponens,[status(thm)],[21769, 21768])).
% 14.32/10.39 tff(21771,plain,
% 14.32/10.39 (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21770, 1015])).
% 14.32/10.39 tff(21772,plain,
% 14.32/10.39 ((v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2))),
% 14.32/10.39 inference(tautology,[status(thm)],[])).
% 14.32/10.39 tff(21773,plain,
% 14.32/10.39 (v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21772, 21603])).
% 14.32/10.39 tff(21774,plain,
% 14.32/10.39 ((~(v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))) | (~v121(constB133)) | (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))),
% 14.32/10.39 inference(tautology,[status(thm)],[])).
% 14.32/10.39 tff(21775,plain,
% 14.32/10.39 (~v121(constB133)),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21774, 21773, 21771])).
% 14.32/10.39 tff(21776,plain,
% 14.32/10.39 (((~![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))))))),
% 14.32/10.39 inference(rewrite,[status(thm)],[])).
% 14.32/10.39 tff(21777,plain,
% 14.32/10.39 ((v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0))))) <=> (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.39 inference(rewrite,[status(thm)],[])).
% 14.32/10.39 tff(21778,plain,
% 14.32/10.39 (((~![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))))))),
% 14.32/10.39 inference(monotonicity,[status(thm)],[21777])).
% 14.32/10.39 tff(21779,plain,
% 14.32/10.39 (((~![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))))))),
% 14.32/10.39 inference(transitivity,[status(thm)],[21778, 21776])).
% 14.32/10.39 tff(21780,plain,
% 14.32/10.39 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.39 inference(quant_inst,[status(thm)],[])).
% 14.32/10.39 tff(21781,plain,
% 14.32/10.39 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 14.32/10.39 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 14.32/10.39 tff(21782,plain,
% 14.32/10.39 (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21781, 1132])).
% 14.32/10.39 tff(21783,plain,
% 14.32/10.39 ((v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2))),
% 14.32/10.39 inference(tautology,[status(thm)],[])).
% 14.32/10.39 tff(21784,plain,
% 14.32/10.39 (v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21783, 21603])).
% 14.32/10.39 tff(21785,plain,
% 14.32/10.39 ((~(v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))) | (~v120(constB133)) | (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 14.32/10.39 inference(tautology,[status(thm)],[])).
% 14.32/10.39 tff(21786,plain,
% 14.32/10.39 (~v120(constB133)),
% 14.32/10.39 inference(unit_resolution,[status(thm)],[21785, 21784, 21782])).
% 14.32/10.39 tff(21787,plain,
% 14.32/10.39 (((~![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))))),
% 14.32/10.39 inference(rewrite,[status(thm)],[])).
% 14.32/10.39 tff(21788,plain,
% 14.32/10.39 ((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))))),
% 14.32/10.39 inference(rewrite,[status(thm)],[])).
% 14.32/10.39 tff(21789,plain,
% 14.32/10.39 (((~![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)))))),
% 14.32/10.39 inference(monotonicity,[status(thm)],[21788])).
% 14.32/10.39 tff(21790,plain,
% 14.32/10.39 (((~![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))))),
% 14.32/10.39 inference(transitivity,[status(thm)],[21789, 21787])).
% 14.32/10.39 tff(21791,plain,
% 14.32/10.39 ((~![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))))),
% 14.32/10.39 inference(quant_inst,[status(thm)],[])).
% 14.32/10.39 tff(21792,plain,
% 14.32/10.39 ((~![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)))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21791, 21790])).
% 14.32/10.40 tff(21793,plain,
% 14.32/10.40 (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21792, 8006])).
% 14.32/10.40 tff(21794,plain,
% 14.32/10.40 (![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21793, 21786, 21775, 21764, 21753, 21742, 21731])).
% 14.32/10.40 tff(21795,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21796,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b001(bitIndex2)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21797,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b001(bitIndex2))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21796, 21795])).
% 14.32/10.40 tff(21798,plain,
% 14.32/10.40 (v130(constB133, bitIndex2) <=> b001(bitIndex2)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21797, 579, 21794])).
% 14.32/10.40 tff(21799,plain,
% 14.32/10.40 ((~(v130(constB133, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB133, bitIndex2)) | b001(bitIndex2)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21800,plain,
% 14.32/10.40 ((~(v130(constB133, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB133, bitIndex2))),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21799, 1480])).
% 14.32/10.40 tff(21801,plain,
% 14.32/10.40 (~v130(constB133, bitIndex2)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21800, 21798])).
% 14.32/10.40 tff(21802,plain,
% 14.32/10.40 ((~(v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2))) | (~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21803,plain,
% 14.32/10.40 (~v127(constB133, bitIndex2)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21802, 21801, 21725])).
% 14.32/10.40 tff(21804,plain,
% 14.32/10.40 ((~(v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2))) | (~v129(constB134, bitIndex2)) | v127(constB133, bitIndex2)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21805,plain,
% 14.32/10.40 (~v129(constB134, bitIndex2)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21804, 21803, 21717])).
% 14.32/10.40 tff(21806,plain,
% 14.32/10.40 ((~(v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21807,plain,
% 14.32/10.40 (~v90(constB134, bitIndex2)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21806, 21805, 21709])).
% 14.32/10.40 tff(21808,plain,
% 14.32/10.40 ((~(v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2))) | (~v90(constB135, bitIndex2)) | v90(constB134, bitIndex2)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21809,plain,
% 14.32/10.40 (~v90(constB135, bitIndex2)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21808, 21807, 20646])).
% 14.32/10.40 tff(21810,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21811,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21812,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 14.32/10.40 tff(21813,plain,
% 14.32/10.40 (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21812, 1275, 20642])).
% 14.32/10.40 tff(21814,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21815,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21816,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 14.32/10.40 tff(21817,plain,
% 14.32/10.40 (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21816, 1275, 21705])).
% 14.32/10.40 tff(21818,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21819,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21820,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 14.32/10.40 tff(21821,plain,
% 14.32/10.40 (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21820, 1275, 21713])).
% 14.32/10.40 tff(21822,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21823,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21824,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21823, 21822])).
% 14.32/10.40 tff(21825,plain,
% 14.32/10.40 (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21824, 1275, 21721])).
% 14.32/10.40 tff(21826,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21827,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b001(bitIndex0)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21828,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b001(bitIndex0))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 14.32/10.40 tff(21829,plain,
% 14.32/10.40 (v130(constB133, bitIndex0) <=> b001(bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21828, 1275, 21794])).
% 14.32/10.40 tff(21830,plain,
% 14.32/10.40 ((~(v130(constB133, bitIndex0) <=> b001(bitIndex0))) | v130(constB133, bitIndex0) | (~b001(bitIndex0))),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21831,plain,
% 14.32/10.40 ((~(v130(constB133, bitIndex0) <=> b001(bitIndex0))) | v130(constB133, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21830, 1514])).
% 14.32/10.40 tff(21832,plain,
% 14.32/10.40 (v130(constB133, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21831, 21829])).
% 14.32/10.40 tff(21833,plain,
% 14.32/10.40 ((~(v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0))) | v127(constB133, bitIndex0) | (~v130(constB133, bitIndex0))),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21834,plain,
% 14.32/10.40 (v127(constB133, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21833, 21832, 21825])).
% 14.32/10.40 tff(21835,plain,
% 14.32/10.40 ((~(v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0))) | v129(constB134, bitIndex0) | (~v127(constB133, bitIndex0))),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21836,plain,
% 14.32/10.40 (v129(constB134, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21835, 21834, 21821])).
% 14.32/10.40 tff(21837,plain,
% 14.32/10.40 ((~(v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0))),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21838,plain,
% 14.32/10.40 (v90(constB134, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21837, 21836, 21817])).
% 14.32/10.40 tff(21839,plain,
% 14.32/10.40 ((~(v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0))) | v90(constB135, bitIndex0) | (~v90(constB134, bitIndex0))),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21840,plain,
% 14.32/10.40 (v90(constB135, bitIndex0)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21839, 21838, 21813])).
% 14.32/10.40 tff(21841,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21842,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21843,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 14.32/10.40 tff(21844,plain,
% 14.32/10.40 (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21843, 1288, 20642])).
% 14.32/10.40 tff(21845,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21846,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21847,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21846, 21845])).
% 14.32/10.40 tff(21848,plain,
% 14.32/10.40 (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21847, 1288, 21705])).
% 14.32/10.40 tff(21849,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21850,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21851,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21850, 21849])).
% 14.32/10.40 tff(21852,plain,
% 14.32/10.40 (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21851, 1288, 21713])).
% 14.32/10.40 tff(21853,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21854,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21855,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 14.32/10.40 tff(21856,plain,
% 14.32/10.40 (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21855, 1288, 21721])).
% 14.32/10.40 tff(21857,plain,
% 14.32/10.40 (((~![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)))),
% 14.32/10.40 inference(rewrite,[status(thm)],[])).
% 14.32/10.40 tff(21858,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b001(bitIndex1)))),
% 14.32/10.40 inference(quant_inst,[status(thm)],[])).
% 14.32/10.40 tff(21859,plain,
% 14.32/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b001(bitIndex1))),
% 14.32/10.40 inference(modus_ponens,[status(thm)],[21858, 21857])).
% 14.32/10.40 tff(21860,plain,
% 14.32/10.40 (v130(constB133, bitIndex1) <=> b001(bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21859, 1288, 21794])).
% 14.32/10.40 tff(21861,plain,
% 14.32/10.40 ((~(v130(constB133, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB133, bitIndex1)) | b001(bitIndex1)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21862,plain,
% 14.32/10.40 ((~(v130(constB133, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB133, bitIndex1))),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21861, 1548])).
% 14.32/10.40 tff(21863,plain,
% 14.32/10.40 (~v130(constB133, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21862, 21860])).
% 14.32/10.40 tff(21864,plain,
% 14.32/10.40 ((~(v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1))) | (~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21865,plain,
% 14.32/10.40 (~v127(constB133, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21864, 21863, 21856])).
% 14.32/10.40 tff(21866,plain,
% 14.32/10.40 ((~(v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1))) | (~v129(constB134, bitIndex1)) | v127(constB133, bitIndex1)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21867,plain,
% 14.32/10.40 (~v129(constB134, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21866, 21865, 21852])).
% 14.32/10.40 tff(21868,plain,
% 14.32/10.40 ((~(v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1)),
% 14.32/10.40 inference(tautology,[status(thm)],[])).
% 14.32/10.40 tff(21869,plain,
% 14.32/10.40 (~v90(constB134, bitIndex1)),
% 14.32/10.40 inference(unit_resolution,[status(thm)],[21868, 21867, 21848])).
% 14.32/10.40 tff(21870,plain,
% 14.32/10.40 ((~(v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1))) | (~v90(constB135, bitIndex1)) | v90(constB134, bitIndex1)),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21871,plain,
% 14.32/10.41 (~v90(constB135, bitIndex1)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21870, 21869, 21844])).
% 14.32/10.41 tff(21872,plain,
% 14.32/10.41 ((~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))) | v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21873,plain,
% 14.32/10.41 (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21872, 21871, 21840, 21809])).
% 14.32/10.41 tff(21874,plain,
% 14.32/10.41 ((~(v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) | v120(constB135) | (v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21875,plain,
% 14.32/10.41 (v120(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21874, 21873, 20614])).
% 14.32/10.41 tff(21876,plain,
% 14.32/10.41 ((v119(constB135) | v120(constB135)) | (~v120(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21877,plain,
% 14.32/10.41 (v119(constB135) | v120(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21876, 21875])).
% 14.32/10.41 tff(21878,plain,
% 14.32/10.41 ((~(v118(constB135) <=> (v119(constB135) | v120(constB135)))) | v118(constB135) | (~(v119(constB135) | v120(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21879,plain,
% 14.32/10.41 (v118(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21878, 21877, 20607])).
% 14.32/10.41 tff(21880,plain,
% 14.32/10.41 ((v118(constB135) | v121(constB135)) | (~v118(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21881,plain,
% 14.32/10.41 (v118(constB135) | v121(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21880, 21879])).
% 14.32/10.41 tff(21882,plain,
% 14.32/10.41 ((~(v117(constB135) <=> (v118(constB135) | v121(constB135)))) | v117(constB135) | (~(v118(constB135) | v121(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21883,plain,
% 14.32/10.41 (v117(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21882, 21881, 20605])).
% 14.32/10.41 tff(21884,plain,
% 14.32/10.41 ((v117(constB135) | v122(constB135)) | (~v117(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21885,plain,
% 14.32/10.41 (v117(constB135) | v122(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21884, 21883])).
% 14.32/10.41 tff(21886,plain,
% 14.32/10.41 ((~(v116(constB135) <=> (v117(constB135) | v122(constB135)))) | v116(constB135) | (~(v117(constB135) | v122(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21887,plain,
% 14.32/10.41 (v116(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21886, 21885, 20603])).
% 14.32/10.41 tff(21888,plain,
% 14.32/10.41 ((v116(constB135) | v123(constB135)) | (~v116(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21889,plain,
% 14.32/10.41 (v116(constB135) | v123(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21888, 21887])).
% 14.32/10.41 tff(21890,plain,
% 14.32/10.41 ((~(v115(constB135) <=> (v116(constB135) | v123(constB135)))) | v115(constB135) | (~(v116(constB135) | v123(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21891,plain,
% 14.32/10.41 (v115(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21890, 21889, 20601])).
% 14.32/10.41 tff(21892,plain,
% 14.32/10.41 ((v115(constB135) | v124(constB135)) | (~v115(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21893,plain,
% 14.32/10.41 (v115(constB135) | v124(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21892, 21891])).
% 14.32/10.41 tff(21894,plain,
% 14.32/10.41 ((~(v114(constB135) <=> (v115(constB135) | v124(constB135)))) | v114(constB135) | (~(v115(constB135) | v124(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21895,plain,
% 14.32/10.41 (v114(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21894, 21893, 20599])).
% 14.32/10.41 tff(21896,plain,
% 14.32/10.41 ((v114(constB135) | v125(constB135)) | (~v114(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21897,plain,
% 14.32/10.41 (v114(constB135) | v125(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21896, 21895])).
% 14.32/10.41 tff(21898,plain,
% 14.32/10.41 ((~(v113(constB135) <=> (v114(constB135) | v125(constB135)))) | v113(constB135) | (~(v114(constB135) | v125(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21899,plain,
% 14.32/10.41 (v113(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21898, 21897, 20597])).
% 14.32/10.41 tff(21900,plain,
% 14.32/10.41 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB135)) <=> v111(constB135))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21901,plain,
% 14.32/10.41 ((~v126(constB135)) <=> v111(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21900, 1345])).
% 14.32/10.41 tff(21902,plain,
% 14.32/10.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB135) <=> v26(constB135))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21903,plain,
% 14.32/10.41 (v111(constB135) <=> v26(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21902, 1357])).
% 14.32/10.41 tff(21904,plain,
% 14.32/10.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21905,plain,
% 14.32/10.41 (~v26(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21904, 1369])).
% 14.32/10.41 tff(21906,plain,
% 14.32/10.41 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135)) | v26(constB135)),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21907,plain,
% 14.32/10.41 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21906, 21905])).
% 14.32/10.41 tff(21908,plain,
% 14.32/10.41 (~v111(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21907, 21903])).
% 14.32/10.41 tff(21909,plain,
% 14.32/10.41 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135) | v111(constB135)),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21910,plain,
% 14.32/10.41 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21909, 21908])).
% 14.32/10.41 tff(21911,plain,
% 14.32/10.41 (v126(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21910, 21901])).
% 14.32/10.41 tff(21912,plain,
% 14.32/10.41 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135)) | (~v126(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21913,plain,
% 14.32/10.41 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21912, 21911])).
% 14.32/10.41 tff(21914,plain,
% 14.32/10.41 (~((~v113(constB135)) | (~v126(constB135)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21913, 21899])).
% 14.32/10.41 tff(21915,plain,
% 14.32/10.41 ((~(v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))) | v112(constB135) | ((~v113(constB135)) | (~v126(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21916,plain,
% 14.32/10.41 (v112(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21915, 21914, 20595])).
% 14.32/10.41 tff(21917,plain,
% 14.32/10.41 ((v111(constB135) | v112(constB135)) | (~v112(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21918,plain,
% 14.32/10.41 (v111(constB135) | v112(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21917, 21916])).
% 14.32/10.41 tff(21919,plain,
% 14.32/10.41 ((~(v108(constB135) <=> (v111(constB135) | v112(constB135)))) | v108(constB135) | (~(v111(constB135) | v112(constB135)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21920,plain,
% 14.32/10.41 (v108(constB135)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21919, 21918, 20593])).
% 14.32/10.41 tff(21921,plain,
% 14.32/10.41 ((~(v110(constB136) <=> v108(constB135))) | v110(constB136) | (~v108(constB135))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21922,plain,
% 14.32/10.41 (v110(constB136)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21921, 21920, 20591])).
% 14.32/10.41 tff(21923,plain,
% 14.32/10.41 ((~((~v101(constB136)) | (~v110(constB136)))) | (~v101(constB136)) | (~v110(constB136))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21924,plain,
% 14.32/10.41 (~((~v101(constB136)) | (~v110(constB136)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21923, 21922, 20587])).
% 14.32/10.41 tff(21925,plain,
% 14.32/10.41 ((~(v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))) | v100(constB136) | ((~v101(constB136)) | (~v110(constB136)))),
% 14.32/10.41 inference(tautology,[status(thm)],[])).
% 14.32/10.41 tff(21926,plain,
% 14.32/10.41 (v100(constB136)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21925, 21924, 20556])).
% 14.32/10.41 tff(21927,plain,
% 14.32/10.41 (((~![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))))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21928,plain,
% 14.32/10.41 ((~![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))))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21929,plain,
% 14.32/10.41 ((~![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)))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21928, 21927])).
% 14.32/10.41 tff(21930,plain,
% 14.32/10.41 ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21929, 1405])).
% 14.32/10.41 tff(21931,plain,
% 14.32/10.41 (![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21930, 21926])).
% 14.32/10.41 tff(21932,plain,
% 14.32/10.41 (((~![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)))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21933,plain,
% 14.32/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21934,plain,
% 14.32/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 14.32/10.41 tff(21935,plain,
% 14.32/10.41 (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21934, 579, 21931])).
% 14.32/10.41 tff(21936,plain,
% 14.32/10.41 (((~![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))))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21937,plain,
% 14.32/10.41 ((~![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))))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21938,plain,
% 14.32/10.41 ((~![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)))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 14.32/10.41 tff(21939,plain,
% 14.32/10.41 (![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21938, 20552, 1427])).
% 14.32/10.41 tff(21940,plain,
% 14.32/10.41 (((~![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)))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21941,plain,
% 14.32/10.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21942,plain,
% 14.32/10.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21941, 21940])).
% 14.32/10.41 tff(21943,plain,
% 14.32/10.41 (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21942, 579, 21939])).
% 14.32/10.41 tff(21944,plain,
% 14.32/10.41 (((~![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))))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21945,plain,
% 14.32/10.41 ((~![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))))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21946,plain,
% 14.32/10.41 ((~![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)))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21945, 21944])).
% 14.32/10.41 tff(21947,plain,
% 14.32/10.41 (![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21946, 1448, 21908])).
% 14.32/10.41 tff(21948,plain,
% 14.32/10.41 (((~![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)))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21949,plain,
% 14.32/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21950,plain,
% 14.32/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 14.32/10.41 tff(21951,plain,
% 14.32/10.41 (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21950, 579, 21947])).
% 14.32/10.41 tff(21952,plain,
% 14.32/10.41 (((~![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))))),
% 14.32/10.41 inference(rewrite,[status(thm)],[])).
% 14.32/10.41 tff(21953,plain,
% 14.32/10.41 ((~![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))))),
% 14.32/10.41 inference(quant_inst,[status(thm)],[])).
% 14.32/10.41 tff(21954,plain,
% 14.32/10.41 ((~![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)))),
% 14.32/10.41 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 14.32/10.41 tff(21955,plain,
% 14.32/10.41 ((~v120(constB135)) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21954, 1652])).
% 14.32/10.41 tff(21956,plain,
% 14.32/10.41 (![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))),
% 14.32/10.41 inference(unit_resolution,[status(thm)],[21955, 21875])).
% 14.32/10.41 tff(21957,plain,
% 14.32/10.42 (((~![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)))),
% 14.32/10.42 inference(rewrite,[status(thm)],[])).
% 14.32/10.42 tff(21958,plain,
% 14.32/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b010(bitIndex2)))),
% 14.32/10.42 inference(quant_inst,[status(thm)],[])).
% 14.32/10.42 tff(21959,plain,
% 14.32/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b010(bitIndex2))),
% 14.32/10.42 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 14.32/10.42 tff(21960,plain,
% 14.32/10.42 (v130(constB135, bitIndex2) <=> b010(bitIndex2)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21959, 579, 21956])).
% 14.32/10.42 tff(21961,plain,
% 14.32/10.42 ((~(v130(constB135, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB135, bitIndex2)) | b010(bitIndex2)),
% 14.32/10.42 inference(tautology,[status(thm)],[])).
% 14.32/10.42 tff(21962,plain,
% 14.32/10.42 ((~(v130(constB135, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB135, bitIndex2))),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21961, 1664])).
% 14.32/10.42 tff(21963,plain,
% 14.32/10.42 (~v130(constB135, bitIndex2)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21962, 21960])).
% 14.32/10.42 tff(21964,plain,
% 14.32/10.42 ((~(v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2))) | (~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 14.32/10.42 inference(tautology,[status(thm)],[])).
% 14.32/10.42 tff(21965,plain,
% 14.32/10.42 (~v127(constB135, bitIndex2)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21964, 21963, 21951])).
% 14.32/10.42 tff(21966,plain,
% 14.32/10.42 ((~(v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2))) | (~v129(constB136, bitIndex2)) | v127(constB135, bitIndex2)),
% 14.32/10.42 inference(tautology,[status(thm)],[])).
% 14.32/10.42 tff(21967,plain,
% 14.32/10.42 (~v129(constB136, bitIndex2)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21966, 21965, 21943])).
% 14.32/10.42 tff(21968,plain,
% 14.32/10.42 ((~(v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 14.32/10.42 inference(tautology,[status(thm)],[])).
% 14.32/10.42 tff(21969,plain,
% 14.32/10.42 (~v90(constB136, bitIndex2)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21968, 21967, 21935])).
% 14.32/10.42 tff(21970,plain,
% 14.32/10.42 ((~(v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2))) | (~v90(constB137, bitIndex2)) | v90(constB136, bitIndex2)),
% 14.32/10.42 inference(tautology,[status(thm)],[])).
% 14.32/10.42 tff(21971,plain,
% 14.32/10.42 (~v90(constB137, bitIndex2)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21970, 21969, 20549])).
% 14.32/10.42 tff(21972,plain,
% 14.32/10.42 (((~![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)))),
% 14.32/10.42 inference(rewrite,[status(thm)],[])).
% 14.32/10.42 tff(21973,plain,
% 14.32/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))),
% 14.32/10.42 inference(quant_inst,[status(thm)],[])).
% 14.32/10.42 tff(21974,plain,
% 14.32/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0))),
% 14.32/10.42 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 14.32/10.42 tff(21975,plain,
% 14.32/10.42 (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)),
% 14.32/10.42 inference(unit_resolution,[status(thm)],[21974, 1275, 20545])).
% 14.32/10.42 tff(21976,plain,
% 14.32/10.42 (((~![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)))),
% 14.32/10.42 inference(rewrite,[status(thm)],[])).
% 14.32/10.42 tff(21977,plain,
% 14.32/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(21978,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[21977, 21976])).
% 14.36/10.42 tff(21979,plain,
% 14.36/10.42 (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21978, 1275, 21931])).
% 14.36/10.42 tff(21980,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(21981,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(21982,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[21981, 21980])).
% 14.36/10.42 tff(21983,plain,
% 14.36/10.42 (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21982, 1275, 21939])).
% 14.36/10.42 tff(21984,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(21985,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(21986,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[21985, 21984])).
% 14.36/10.42 tff(21987,plain,
% 14.36/10.42 (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21986, 1275, 21947])).
% 14.36/10.42 tff(21988,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(21989,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b010(bitIndex0)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(21990,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b010(bitIndex0))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[21989, 21988])).
% 14.36/10.42 tff(21991,plain,
% 14.36/10.42 (v130(constB135, bitIndex0) <=> b010(bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21990, 1275, 21956])).
% 14.36/10.42 tff(21992,plain,
% 14.36/10.42 ((~(v130(constB135, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB135, bitIndex0)) | b010(bitIndex0)),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(21993,plain,
% 14.36/10.42 ((~(v130(constB135, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB135, bitIndex0))),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21992, 1698])).
% 14.36/10.42 tff(21994,plain,
% 14.36/10.42 (~v130(constB135, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21993, 21991])).
% 14.36/10.42 tff(21995,plain,
% 14.36/10.42 ((~(v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0))) | (~v127(constB135, bitIndex0)) | v130(constB135, bitIndex0)),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(21996,plain,
% 14.36/10.42 (~v127(constB135, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21995, 21994, 21987])).
% 14.36/10.42 tff(21997,plain,
% 14.36/10.42 ((~(v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0))) | (~v129(constB136, bitIndex0)) | v127(constB135, bitIndex0)),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(21998,plain,
% 14.36/10.42 (~v129(constB136, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21997, 21996, 21983])).
% 14.36/10.42 tff(21999,plain,
% 14.36/10.42 ((~(v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0)),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22000,plain,
% 14.36/10.42 (~v90(constB136, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[21999, 21998, 21979])).
% 14.36/10.42 tff(22001,plain,
% 14.36/10.42 ((~(v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0))) | (~v90(constB137, bitIndex0)) | v90(constB136, bitIndex0)),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22002,plain,
% 14.36/10.42 (~v90(constB137, bitIndex0)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22001, 22000, 21975])).
% 14.36/10.42 tff(22003,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(22004,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(22005,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 14.36/10.42 tff(22006,plain,
% 14.36/10.42 (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22005, 1288, 20545])).
% 14.36/10.42 tff(22007,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(22008,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(22009,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[22008, 22007])).
% 14.36/10.42 tff(22010,plain,
% 14.36/10.42 (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22009, 1288, 21931])).
% 14.36/10.42 tff(22011,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(22012,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(22013,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 14.36/10.42 tff(22014,plain,
% 14.36/10.42 (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22013, 1288, 21939])).
% 14.36/10.42 tff(22015,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(22016,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(22017,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 14.36/10.42 tff(22018,plain,
% 14.36/10.42 (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22017, 1288, 21947])).
% 14.36/10.42 tff(22019,plain,
% 14.36/10.42 (((~![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)))),
% 14.36/10.42 inference(rewrite,[status(thm)],[])).
% 14.36/10.42 tff(22020,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b010(bitIndex1)))),
% 14.36/10.42 inference(quant_inst,[status(thm)],[])).
% 14.36/10.42 tff(22021,plain,
% 14.36/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b010(bitIndex1))),
% 14.36/10.42 inference(modus_ponens,[status(thm)],[22020, 22019])).
% 14.36/10.42 tff(22022,plain,
% 14.36/10.42 (v130(constB135, bitIndex1) <=> b010(bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22021, 1288, 21956])).
% 14.36/10.42 tff(22023,plain,
% 14.36/10.42 ((~(v130(constB135, bitIndex1) <=> b010(bitIndex1))) | v130(constB135, bitIndex1) | (~b010(bitIndex1))),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22024,plain,
% 14.36/10.42 ((~(v130(constB135, bitIndex1) <=> b010(bitIndex1))) | v130(constB135, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22023, 1732])).
% 14.36/10.42 tff(22025,plain,
% 14.36/10.42 (v130(constB135, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22024, 22022])).
% 14.36/10.42 tff(22026,plain,
% 14.36/10.42 ((~(v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1))) | v127(constB135, bitIndex1) | (~v130(constB135, bitIndex1))),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22027,plain,
% 14.36/10.42 (v127(constB135, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22026, 22025, 22018])).
% 14.36/10.42 tff(22028,plain,
% 14.36/10.42 ((~(v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1))) | v129(constB136, bitIndex1) | (~v127(constB135, bitIndex1))),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22029,plain,
% 14.36/10.42 (v129(constB136, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22028, 22027, 22014])).
% 14.36/10.42 tff(22030,plain,
% 14.36/10.42 ((~(v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1))),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22031,plain,
% 14.36/10.42 (v90(constB136, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22030, 22029, 22010])).
% 14.36/10.42 tff(22032,plain,
% 14.36/10.42 ((~(v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1))) | v90(constB137, bitIndex1) | (~v90(constB136, bitIndex1))),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22033,plain,
% 14.36/10.42 (v90(constB137, bitIndex1)),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22032, 22031, 22006])).
% 14.36/10.42 tff(22034,plain,
% 14.36/10.42 ((~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)),
% 14.36/10.42 inference(tautology,[status(thm)],[])).
% 14.36/10.42 tff(22035,plain,
% 14.36/10.42 (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))),
% 14.36/10.42 inference(unit_resolution,[status(thm)],[22034, 22033, 22002, 21971])).
% 14.36/10.42 tff(22036,plain,
% 14.36/10.43 ((~(v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))) | v121(constB137) | (v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22037,plain,
% 14.36/10.43 (v121(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22036, 22035, 20517])).
% 14.36/10.43 tff(22038,plain,
% 14.36/10.43 ((v118(constB137) | v121(constB137)) | (~v121(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22039,plain,
% 14.36/10.43 (v118(constB137) | v121(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22038, 22037])).
% 14.36/10.43 tff(22040,plain,
% 14.36/10.43 ((~(v117(constB137) <=> (v118(constB137) | v121(constB137)))) | v117(constB137) | (~(v118(constB137) | v121(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22041,plain,
% 14.36/10.43 (v117(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22040, 22039, 20510])).
% 14.36/10.43 tff(22042,plain,
% 14.36/10.43 ((v117(constB137) | v122(constB137)) | (~v117(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22043,plain,
% 14.36/10.43 (v117(constB137) | v122(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22042, 22041])).
% 14.36/10.43 tff(22044,plain,
% 14.36/10.43 ((~(v116(constB137) <=> (v117(constB137) | v122(constB137)))) | v116(constB137) | (~(v117(constB137) | v122(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22045,plain,
% 14.36/10.43 (v116(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22044, 22043, 20508])).
% 14.36/10.43 tff(22046,plain,
% 14.36/10.43 ((v116(constB137) | v123(constB137)) | (~v116(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22047,plain,
% 14.36/10.43 (v116(constB137) | v123(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22046, 22045])).
% 14.36/10.43 tff(22048,plain,
% 14.36/10.43 ((~(v115(constB137) <=> (v116(constB137) | v123(constB137)))) | v115(constB137) | (~(v116(constB137) | v123(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22049,plain,
% 14.36/10.43 (v115(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22048, 22047, 20506])).
% 14.36/10.43 tff(22050,plain,
% 14.36/10.43 ((v115(constB137) | v124(constB137)) | (~v115(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22051,plain,
% 14.36/10.43 (v115(constB137) | v124(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22050, 22049])).
% 14.36/10.43 tff(22052,plain,
% 14.36/10.43 ((~(v114(constB137) <=> (v115(constB137) | v124(constB137)))) | v114(constB137) | (~(v115(constB137) | v124(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22053,plain,
% 14.36/10.43 (v114(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22052, 22051, 20504])).
% 14.36/10.43 tff(22054,plain,
% 14.36/10.43 ((v114(constB137) | v125(constB137)) | (~v114(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22055,plain,
% 14.36/10.43 (v114(constB137) | v125(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22054, 22053])).
% 14.36/10.43 tff(22056,plain,
% 14.36/10.43 ((~(v113(constB137) <=> (v114(constB137) | v125(constB137)))) | v113(constB137) | (~(v114(constB137) | v125(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22057,plain,
% 14.36/10.43 (v113(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22056, 22055, 20502])).
% 14.36/10.43 tff(22058,plain,
% 14.36/10.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB137)) <=> v111(constB137))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22059,plain,
% 14.36/10.43 ((~v126(constB137)) <=> v111(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22058, 1345])).
% 14.36/10.43 tff(22060,plain,
% 14.36/10.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB137) <=> v26(constB137))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22061,plain,
% 14.36/10.43 (v111(constB137) <=> v26(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22060, 1357])).
% 14.36/10.43 tff(22062,plain,
% 14.36/10.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22063,plain,
% 14.36/10.43 (~v26(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22062, 1369])).
% 14.36/10.43 tff(22064,plain,
% 14.36/10.43 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137)) | v26(constB137)),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22065,plain,
% 14.36/10.43 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22064, 22063])).
% 14.36/10.43 tff(22066,plain,
% 14.36/10.43 (~v111(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22065, 22061])).
% 14.36/10.43 tff(22067,plain,
% 14.36/10.43 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137) | v111(constB137)),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22068,plain,
% 14.36/10.43 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22067, 22066])).
% 14.36/10.43 tff(22069,plain,
% 14.36/10.43 (v126(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22068, 22059])).
% 14.36/10.43 tff(22070,plain,
% 14.36/10.43 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137)) | (~v126(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22071,plain,
% 14.36/10.43 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22070, 22069])).
% 14.36/10.43 tff(22072,plain,
% 14.36/10.43 (~((~v113(constB137)) | (~v126(constB137)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22071, 22057])).
% 14.36/10.43 tff(22073,plain,
% 14.36/10.43 ((~(v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))) | v112(constB137) | ((~v113(constB137)) | (~v126(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22074,plain,
% 14.36/10.43 (v112(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22073, 22072, 20500])).
% 14.36/10.43 tff(22075,plain,
% 14.36/10.43 ((v111(constB137) | v112(constB137)) | (~v112(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22076,plain,
% 14.36/10.43 (v111(constB137) | v112(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22075, 22074])).
% 14.36/10.43 tff(22077,plain,
% 14.36/10.43 ((~(v108(constB137) <=> (v111(constB137) | v112(constB137)))) | v108(constB137) | (~(v111(constB137) | v112(constB137)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22078,plain,
% 14.36/10.43 (v108(constB137)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22077, 22076, 20498])).
% 14.36/10.43 tff(22079,plain,
% 14.36/10.43 ((~(v110(constB138) <=> v108(constB137))) | v110(constB138) | (~v108(constB137))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22080,plain,
% 14.36/10.43 (v110(constB138)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22079, 22078, 20496])).
% 14.36/10.43 tff(22081,plain,
% 14.36/10.43 ((~((~v101(constB138)) | (~v110(constB138)))) | (~v101(constB138)) | (~v110(constB138))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22082,plain,
% 14.36/10.43 (~((~v101(constB138)) | (~v110(constB138)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22081, 22080, 20492])).
% 14.36/10.43 tff(22083,plain,
% 14.36/10.43 ((~(v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))) | v100(constB138) | ((~v101(constB138)) | (~v110(constB138)))),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22084,plain,
% 14.36/10.43 (v100(constB138)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22083, 22082, 20461])).
% 14.36/10.43 tff(22085,plain,
% 14.36/10.43 (((~![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))))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22086,plain,
% 14.36/10.43 ((~![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))))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22087,plain,
% 14.36/10.43 ((~![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)))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22086, 22085])).
% 14.36/10.43 tff(22088,plain,
% 14.36/10.43 ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22087, 1405])).
% 14.36/10.43 tff(22089,plain,
% 14.36/10.43 (![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22088, 22084])).
% 14.36/10.43 tff(22090,plain,
% 14.36/10.43 (((~![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)))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22091,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22092,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22091, 22090])).
% 14.36/10.43 tff(22093,plain,
% 14.36/10.43 (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22092, 579, 22089])).
% 14.36/10.43 tff(22094,plain,
% 14.36/10.43 (((~![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))))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22095,plain,
% 14.36/10.43 ((~![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))))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22096,plain,
% 14.36/10.43 ((~![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)))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22095, 22094])).
% 14.36/10.43 tff(22097,plain,
% 14.36/10.43 (![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22096, 20457, 1427])).
% 14.36/10.43 tff(22098,plain,
% 14.36/10.43 (((~![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)))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22099,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22100,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22099, 22098])).
% 14.36/10.43 tff(22101,plain,
% 14.36/10.43 (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22100, 579, 22097])).
% 14.36/10.43 tff(22102,plain,
% 14.36/10.43 (((~![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))))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22103,plain,
% 14.36/10.43 ((~![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))))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22104,plain,
% 14.36/10.43 ((~![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)))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22103, 22102])).
% 14.36/10.43 tff(22105,plain,
% 14.36/10.43 (![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22104, 1448, 22066])).
% 14.36/10.43 tff(22106,plain,
% 14.36/10.43 (((~![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)))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22107,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22108,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22107, 22106])).
% 14.36/10.43 tff(22109,plain,
% 14.36/10.43 (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22108, 579, 22105])).
% 14.36/10.43 tff(22110,plain,
% 14.36/10.43 (((~![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))))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22111,plain,
% 14.36/10.43 ((~![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))))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22112,plain,
% 14.36/10.43 ((~![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)))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22111, 22110])).
% 14.36/10.43 tff(22113,plain,
% 14.36/10.43 ((~v121(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22112, 1832])).
% 14.36/10.43 tff(22114,plain,
% 14.36/10.43 (![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22113, 22037])).
% 14.36/10.43 tff(22115,plain,
% 14.36/10.43 (((~![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)))),
% 14.36/10.43 inference(rewrite,[status(thm)],[])).
% 14.36/10.43 tff(22116,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b011(bitIndex2)))),
% 14.36/10.43 inference(quant_inst,[status(thm)],[])).
% 14.36/10.43 tff(22117,plain,
% 14.36/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b011(bitIndex2))),
% 14.36/10.43 inference(modus_ponens,[status(thm)],[22116, 22115])).
% 14.36/10.43 tff(22118,plain,
% 14.36/10.43 (v130(constB137, bitIndex2) <=> b011(bitIndex2)),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22117, 579, 22114])).
% 14.36/10.43 tff(22119,plain,
% 14.36/10.43 ((~(v130(constB137, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB137, bitIndex2)) | b011(bitIndex2)),
% 14.36/10.43 inference(tautology,[status(thm)],[])).
% 14.36/10.43 tff(22120,plain,
% 14.36/10.43 ((~(v130(constB137, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB137, bitIndex2))),
% 14.36/10.43 inference(unit_resolution,[status(thm)],[22119, 1844])).
% 14.36/10.43 tff(22121,plain,
% 14.36/10.43 (~v130(constB137, bitIndex2)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22120, 22118])).
% 14.36/10.44 tff(22122,plain,
% 14.36/10.44 ((~(v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2))) | (~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 14.36/10.44 inference(tautology,[status(thm)],[])).
% 14.36/10.44 tff(22123,plain,
% 14.36/10.44 (~v127(constB137, bitIndex2)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22122, 22121, 22109])).
% 14.36/10.44 tff(22124,plain,
% 14.36/10.44 ((~(v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2))) | (~v129(constB138, bitIndex2)) | v127(constB137, bitIndex2)),
% 14.36/10.44 inference(tautology,[status(thm)],[])).
% 14.36/10.44 tff(22125,plain,
% 14.36/10.44 (~v129(constB138, bitIndex2)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22124, 22123, 22101])).
% 14.36/10.44 tff(22126,plain,
% 14.36/10.44 ((~(v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 14.36/10.44 inference(tautology,[status(thm)],[])).
% 14.36/10.44 tff(22127,plain,
% 14.36/10.44 (~v90(constB138, bitIndex2)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22126, 22125, 22093])).
% 14.36/10.44 tff(22128,plain,
% 14.36/10.44 ((~(v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2))) | (~v90(constB139, bitIndex2)) | v90(constB138, bitIndex2)),
% 14.36/10.44 inference(tautology,[status(thm)],[])).
% 14.36/10.44 tff(22129,plain,
% 14.36/10.44 (~v90(constB139, bitIndex2)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22128, 22127, 20454])).
% 14.36/10.44 tff(22130,plain,
% 14.36/10.44 (((~![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)))),
% 14.36/10.44 inference(rewrite,[status(thm)],[])).
% 14.36/10.44 tff(22131,plain,
% 14.36/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))),
% 14.36/10.44 inference(quant_inst,[status(thm)],[])).
% 14.36/10.44 tff(22132,plain,
% 14.36/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0))),
% 14.36/10.44 inference(modus_ponens,[status(thm)],[22131, 22130])).
% 14.36/10.44 tff(22133,plain,
% 14.36/10.44 (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22132, 1275, 20450])).
% 14.36/10.44 tff(22134,plain,
% 14.36/10.44 (((~![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)))),
% 14.36/10.44 inference(rewrite,[status(thm)],[])).
% 14.36/10.44 tff(22135,plain,
% 14.36/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))),
% 14.36/10.44 inference(quant_inst,[status(thm)],[])).
% 14.36/10.44 tff(22136,plain,
% 14.36/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0))),
% 14.36/10.44 inference(modus_ponens,[status(thm)],[22135, 22134])).
% 14.36/10.44 tff(22137,plain,
% 14.36/10.44 (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)),
% 14.36/10.44 inference(unit_resolution,[status(thm)],[22136, 1275, 22089])).
% 14.36/10.44 tff(22138,plain,
% 14.36/10.44 (((~![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)))),
% 14.36/10.44 inference(rewrite,[status(thm)],[])).
% 14.36/10.44 tff(22139,plain,
% 14.36/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))),
% 14.36/10.44 inference(quant_inst,[status(thm)],[])).
% 14.36/10.44 tff(22140,plain,
% 14.36/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22139, 22138])).
% 14.38/10.44 tff(22141,plain,
% 14.38/10.44 (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22140, 1275, 22097])).
% 14.38/10.44 tff(22142,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.44 inference(rewrite,[status(thm)],[])).
% 14.38/10.44 tff(22143,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))),
% 14.38/10.44 inference(quant_inst,[status(thm)],[])).
% 14.38/10.44 tff(22144,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 14.38/10.44 tff(22145,plain,
% 14.38/10.44 (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22144, 1275, 22105])).
% 14.38/10.44 tff(22146,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.44 inference(rewrite,[status(thm)],[])).
% 14.38/10.44 tff(22147,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b011(bitIndex0)))),
% 14.38/10.44 inference(quant_inst,[status(thm)],[])).
% 14.38/10.44 tff(22148,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b011(bitIndex0))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22147, 22146])).
% 14.38/10.44 tff(22149,plain,
% 14.38/10.44 (v130(constB137, bitIndex0) <=> b011(bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22148, 1275, 22114])).
% 14.38/10.44 tff(22150,plain,
% 14.38/10.44 ((~(v130(constB137, bitIndex0) <=> b011(bitIndex0))) | v130(constB137, bitIndex0) | (~b011(bitIndex0))),
% 14.38/10.44 inference(tautology,[status(thm)],[])).
% 14.38/10.44 tff(22151,plain,
% 14.38/10.44 ((~(v130(constB137, bitIndex0) <=> b011(bitIndex0))) | v130(constB137, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22150, 1878])).
% 14.38/10.44 tff(22152,plain,
% 14.38/10.44 (v130(constB137, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22151, 22149])).
% 14.38/10.44 tff(22153,plain,
% 14.38/10.44 ((~(v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0))) | v127(constB137, bitIndex0) | (~v130(constB137, bitIndex0))),
% 14.38/10.44 inference(tautology,[status(thm)],[])).
% 14.38/10.44 tff(22154,plain,
% 14.38/10.44 (v127(constB137, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22153, 22152, 22145])).
% 14.38/10.44 tff(22155,plain,
% 14.38/10.44 ((~(v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0))) | v129(constB138, bitIndex0) | (~v127(constB137, bitIndex0))),
% 14.38/10.44 inference(tautology,[status(thm)],[])).
% 14.38/10.44 tff(22156,plain,
% 14.38/10.44 (v129(constB138, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22155, 22154, 22141])).
% 14.38/10.44 tff(22157,plain,
% 14.38/10.44 ((~(v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0))),
% 14.38/10.44 inference(tautology,[status(thm)],[])).
% 14.38/10.44 tff(22158,plain,
% 14.38/10.44 (v90(constB138, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22157, 22156, 22137])).
% 14.38/10.44 tff(22159,plain,
% 14.38/10.44 ((~(v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0))) | v90(constB139, bitIndex0) | (~v90(constB138, bitIndex0))),
% 14.38/10.44 inference(tautology,[status(thm)],[])).
% 14.38/10.44 tff(22160,plain,
% 14.38/10.44 (v90(constB139, bitIndex0)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22159, 22158, 22133])).
% 14.38/10.44 tff(22161,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.44 inference(rewrite,[status(thm)],[])).
% 14.38/10.44 tff(22162,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))),
% 14.38/10.44 inference(quant_inst,[status(thm)],[])).
% 14.38/10.44 tff(22163,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 14.38/10.44 tff(22164,plain,
% 14.38/10.44 (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22163, 1288, 20450])).
% 14.38/10.44 tff(22165,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.44 inference(rewrite,[status(thm)],[])).
% 14.38/10.44 tff(22166,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))),
% 14.38/10.44 inference(quant_inst,[status(thm)],[])).
% 14.38/10.44 tff(22167,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22166, 22165])).
% 14.38/10.44 tff(22168,plain,
% 14.38/10.44 (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22167, 1288, 22089])).
% 14.38/10.44 tff(22169,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.44 inference(rewrite,[status(thm)],[])).
% 14.38/10.44 tff(22170,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))),
% 14.38/10.44 inference(quant_inst,[status(thm)],[])).
% 14.38/10.44 tff(22171,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22170, 22169])).
% 14.38/10.44 tff(22172,plain,
% 14.38/10.44 (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22171, 1288, 22097])).
% 14.38/10.44 tff(22173,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.44 inference(rewrite,[status(thm)],[])).
% 14.38/10.44 tff(22174,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))),
% 14.38/10.44 inference(quant_inst,[status(thm)],[])).
% 14.38/10.44 tff(22175,plain,
% 14.38/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1))),
% 14.38/10.44 inference(modus_ponens,[status(thm)],[22174, 22173])).
% 14.38/10.44 tff(22176,plain,
% 14.38/10.44 (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)),
% 14.38/10.44 inference(unit_resolution,[status(thm)],[22175, 1288, 22105])).
% 14.38/10.44 tff(22177,plain,
% 14.38/10.44 (((~![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)))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22178,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b011(bitIndex1)))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22179,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b011(bitIndex1))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22178, 22177])).
% 14.38/10.45 tff(22180,plain,
% 14.38/10.45 (v130(constB137, bitIndex1) <=> b011(bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22179, 1288, 22114])).
% 14.38/10.45 tff(22181,plain,
% 14.38/10.45 ((~(v130(constB137, bitIndex1) <=> b011(bitIndex1))) | v130(constB137, bitIndex1) | (~b011(bitIndex1))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22182,plain,
% 14.38/10.45 ((~(v130(constB137, bitIndex1) <=> b011(bitIndex1))) | v130(constB137, bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22181, 1912])).
% 14.38/10.45 tff(22183,plain,
% 14.38/10.45 (v130(constB137, bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22182, 22180])).
% 14.38/10.45 tff(22184,plain,
% 14.38/10.45 ((~(v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1))) | v127(constB137, bitIndex1) | (~v130(constB137, bitIndex1))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22185,plain,
% 14.38/10.45 (v127(constB137, bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22184, 22183, 22176])).
% 14.38/10.45 tff(22186,plain,
% 14.38/10.45 ((~(v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1))) | v129(constB138, bitIndex1) | (~v127(constB137, bitIndex1))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22187,plain,
% 14.38/10.45 (v129(constB138, bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22186, 22185, 22172])).
% 14.38/10.45 tff(22188,plain,
% 14.38/10.45 ((~(v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22189,plain,
% 14.38/10.45 (v90(constB138, bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22188, 22187, 22168])).
% 14.38/10.45 tff(22190,plain,
% 14.38/10.45 ((~(v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1))) | v90(constB139, bitIndex1) | (~v90(constB138, bitIndex1))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22191,plain,
% 14.38/10.45 (v90(constB139, bitIndex1)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22190, 22189, 22164])).
% 14.38/10.45 tff(22192,plain,
% 14.38/10.45 ((~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22193,plain,
% 14.38/10.45 (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22192, 22191, 22160, 22129])).
% 14.38/10.45 tff(22194,plain,
% 14.38/10.45 ((~(v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))) | v122(constB139) | (v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22195,plain,
% 14.38/10.45 (v122(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22194, 22193, 20422])).
% 14.38/10.45 tff(22196,plain,
% 14.38/10.45 ((v117(constB139) | v122(constB139)) | (~v122(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22197,plain,
% 14.38/10.45 (v117(constB139) | v122(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22196, 22195])).
% 14.38/10.45 tff(22198,plain,
% 14.38/10.45 ((~(v116(constB139) <=> (v117(constB139) | v122(constB139)))) | v116(constB139) | (~(v117(constB139) | v122(constB139)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22199,plain,
% 14.38/10.45 (v116(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22198, 22197, 20415])).
% 14.38/10.45 tff(22200,plain,
% 14.38/10.45 ((v116(constB139) | v123(constB139)) | (~v116(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22201,plain,
% 14.38/10.45 (v116(constB139) | v123(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22200, 22199])).
% 14.38/10.45 tff(22202,plain,
% 14.38/10.45 ((~(v115(constB139) <=> (v116(constB139) | v123(constB139)))) | v115(constB139) | (~(v116(constB139) | v123(constB139)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22203,plain,
% 14.38/10.45 (v115(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22202, 22201, 20413])).
% 14.38/10.45 tff(22204,plain,
% 14.38/10.45 ((v115(constB139) | v124(constB139)) | (~v115(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22205,plain,
% 14.38/10.45 (v115(constB139) | v124(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22204, 22203])).
% 14.38/10.45 tff(22206,plain,
% 14.38/10.45 ((~(v114(constB139) <=> (v115(constB139) | v124(constB139)))) | v114(constB139) | (~(v115(constB139) | v124(constB139)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22207,plain,
% 14.38/10.45 (v114(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22206, 22205, 20411])).
% 14.38/10.45 tff(22208,plain,
% 14.38/10.45 ((v114(constB139) | v125(constB139)) | (~v114(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22209,plain,
% 14.38/10.45 (v114(constB139) | v125(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22208, 22207])).
% 14.38/10.45 tff(22210,plain,
% 14.38/10.45 ((~(v113(constB139) <=> (v114(constB139) | v125(constB139)))) | v113(constB139) | (~(v114(constB139) | v125(constB139)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22211,plain,
% 14.38/10.45 (v113(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22210, 22209, 20409])).
% 14.38/10.45 tff(22212,plain,
% 14.38/10.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB139)) <=> v111(constB139))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22213,plain,
% 14.38/10.45 ((~v126(constB139)) <=> v111(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22212, 1345])).
% 14.38/10.45 tff(22214,plain,
% 14.38/10.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB139) <=> v26(constB139))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22215,plain,
% 14.38/10.45 (v111(constB139) <=> v26(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22214, 1357])).
% 14.38/10.45 tff(22216,plain,
% 14.38/10.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22217,plain,
% 14.38/10.45 (~v26(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22216, 1369])).
% 14.38/10.45 tff(22218,plain,
% 14.38/10.45 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139)) | v26(constB139)),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22219,plain,
% 14.38/10.45 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22218, 22217])).
% 14.38/10.45 tff(22220,plain,
% 14.38/10.45 (~v111(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22219, 22215])).
% 14.38/10.45 tff(22221,plain,
% 14.38/10.45 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139) | v111(constB139)),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22222,plain,
% 14.38/10.45 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22221, 22220])).
% 14.38/10.45 tff(22223,plain,
% 14.38/10.45 (v126(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22222, 22213])).
% 14.38/10.45 tff(22224,plain,
% 14.38/10.45 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139)) | (~v126(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22225,plain,
% 14.38/10.45 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22224, 22223])).
% 14.38/10.45 tff(22226,plain,
% 14.38/10.45 (~((~v113(constB139)) | (~v126(constB139)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22225, 22211])).
% 14.38/10.45 tff(22227,plain,
% 14.38/10.45 ((~(v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))) | v112(constB139) | ((~v113(constB139)) | (~v126(constB139)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22228,plain,
% 14.38/10.45 (v112(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22227, 22226, 20407])).
% 14.38/10.45 tff(22229,plain,
% 14.38/10.45 ((v111(constB139) | v112(constB139)) | (~v112(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22230,plain,
% 14.38/10.45 (v111(constB139) | v112(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22229, 22228])).
% 14.38/10.45 tff(22231,plain,
% 14.38/10.45 ((~(v108(constB139) <=> (v111(constB139) | v112(constB139)))) | v108(constB139) | (~(v111(constB139) | v112(constB139)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22232,plain,
% 14.38/10.45 (v108(constB139)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22231, 22230, 20405])).
% 14.38/10.45 tff(22233,plain,
% 14.38/10.45 ((~(v110(constB140) <=> v108(constB139))) | v110(constB140) | (~v108(constB139))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22234,plain,
% 14.38/10.45 (v110(constB140)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22233, 22232, 20403])).
% 14.38/10.45 tff(22235,plain,
% 14.38/10.45 ((~((~v101(constB140)) | (~v110(constB140)))) | (~v101(constB140)) | (~v110(constB140))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22236,plain,
% 14.38/10.45 (~((~v101(constB140)) | (~v110(constB140)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22235, 22234, 20399])).
% 14.38/10.45 tff(22237,plain,
% 14.38/10.45 ((~(v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))) | v100(constB140) | ((~v101(constB140)) | (~v110(constB140)))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22238,plain,
% 14.38/10.45 (v100(constB140)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22237, 22236, 20368])).
% 14.38/10.45 tff(22239,plain,
% 14.38/10.45 (((~![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))))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22240,plain,
% 14.38/10.45 ((~![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))))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22241,plain,
% 14.38/10.45 ((~![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)))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22240, 22239])).
% 14.38/10.45 tff(22242,plain,
% 14.38/10.45 ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22241, 1405])).
% 14.38/10.45 tff(22243,plain,
% 14.38/10.45 (![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22242, 22238])).
% 14.38/10.45 tff(22244,plain,
% 14.38/10.45 (((~![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)))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22245,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22246,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 14.38/10.45 tff(22247,plain,
% 14.38/10.45 (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22246, 579, 22243])).
% 14.38/10.45 tff(22248,plain,
% 14.38/10.45 (((~![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))))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22249,plain,
% 14.38/10.45 ((~![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))))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22250,plain,
% 14.38/10.45 ((~![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)))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 14.38/10.45 tff(22251,plain,
% 14.38/10.45 (![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22250, 20364, 1427])).
% 14.38/10.45 tff(22252,plain,
% 14.38/10.45 (((~![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)))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22253,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22254,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22253, 22252])).
% 14.38/10.45 tff(22255,plain,
% 14.38/10.45 (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22254, 579, 22251])).
% 14.38/10.45 tff(22256,plain,
% 14.38/10.45 (((~![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))))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22257,plain,
% 14.38/10.45 ((~![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))))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22258,plain,
% 14.38/10.45 ((~![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)))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 14.38/10.45 tff(22259,plain,
% 14.38/10.45 (![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22258, 1448, 22220])).
% 14.38/10.45 tff(22260,plain,
% 14.38/10.45 (((~![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)))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22261,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22262,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22261, 22260])).
% 14.38/10.45 tff(22263,plain,
% 14.38/10.45 (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22262, 579, 22259])).
% 14.38/10.45 tff(22264,plain,
% 14.38/10.45 (((~![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))))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22265,plain,
% 14.38/10.45 ((~![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))))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22266,plain,
% 14.38/10.45 ((~![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)))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22265, 22264])).
% 14.38/10.45 tff(22267,plain,
% 14.38/10.45 ((~v122(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22266, 2008])).
% 14.38/10.45 tff(22268,plain,
% 14.38/10.45 (![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22267, 22195])).
% 14.38/10.45 tff(22269,plain,
% 14.38/10.45 (((~![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)))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22270,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b100(bitIndex2)))),
% 14.38/10.45 inference(quant_inst,[status(thm)],[])).
% 14.38/10.45 tff(22271,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b100(bitIndex2))),
% 14.38/10.45 inference(modus_ponens,[status(thm)],[22270, 22269])).
% 14.38/10.45 tff(22272,plain,
% 14.38/10.45 (v130(constB139, bitIndex2) <=> b100(bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22271, 579, 22268])).
% 14.38/10.45 tff(22273,plain,
% 14.38/10.45 ((~(v130(constB139, bitIndex2) <=> b100(bitIndex2))) | v130(constB139, bitIndex2) | (~b100(bitIndex2))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22274,plain,
% 14.38/10.45 ((~(v130(constB139, bitIndex2) <=> b100(bitIndex2))) | v130(constB139, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22273, 2020])).
% 14.38/10.45 tff(22275,plain,
% 14.38/10.45 (v130(constB139, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22274, 22272])).
% 14.38/10.45 tff(22276,plain,
% 14.38/10.45 ((~(v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2))) | v127(constB139, bitIndex2) | (~v130(constB139, bitIndex2))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22277,plain,
% 14.38/10.45 (v127(constB139, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22276, 22275, 22263])).
% 14.38/10.45 tff(22278,plain,
% 14.38/10.45 ((~(v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2))) | v129(constB140, bitIndex2) | (~v127(constB139, bitIndex2))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22279,plain,
% 14.38/10.45 (v129(constB140, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22278, 22277, 22255])).
% 14.38/10.45 tff(22280,plain,
% 14.38/10.45 ((~(v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22281,plain,
% 14.38/10.45 (v90(constB140, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22280, 22279, 22247])).
% 14.38/10.45 tff(22282,plain,
% 14.38/10.45 ((~(v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2))) | v90(constB141, bitIndex2) | (~v90(constB140, bitIndex2))),
% 14.38/10.45 inference(tautology,[status(thm)],[])).
% 14.38/10.45 tff(22283,plain,
% 14.38/10.45 (v90(constB141, bitIndex2)),
% 14.38/10.45 inference(unit_resolution,[status(thm)],[22282, 22281, 20361])).
% 14.38/10.45 tff(22284,plain,
% 14.38/10.45 (((~![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)))),
% 14.38/10.45 inference(rewrite,[status(thm)],[])).
% 14.38/10.45 tff(22285,plain,
% 14.38/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22286,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22285, 22284])).
% 14.38/10.46 tff(22287,plain,
% 14.38/10.46 (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22286, 1275, 20357])).
% 14.38/10.46 tff(22288,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22289,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22290,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 14.38/10.46 tff(22291,plain,
% 14.38/10.46 (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22290, 1275, 22243])).
% 14.38/10.46 tff(22292,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22293,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22294,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22293, 22292])).
% 14.38/10.46 tff(22295,plain,
% 14.38/10.46 (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22294, 1275, 22251])).
% 14.38/10.46 tff(22296,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22297,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22298,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22297, 22296])).
% 14.38/10.46 tff(22299,plain,
% 14.38/10.46 (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22298, 1275, 22259])).
% 14.38/10.46 tff(22300,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22301,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b100(bitIndex0)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22302,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b100(bitIndex0))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 14.38/10.46 tff(22303,plain,
% 14.38/10.46 (v130(constB139, bitIndex0) <=> b100(bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22302, 1275, 22268])).
% 14.38/10.46 tff(22304,plain,
% 14.38/10.46 ((~(v130(constB139, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB139, bitIndex0)) | b100(bitIndex0)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22305,plain,
% 14.38/10.46 ((~(v130(constB139, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB139, bitIndex0))),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22304, 2054])).
% 14.38/10.46 tff(22306,plain,
% 14.38/10.46 (~v130(constB139, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22305, 22303])).
% 14.38/10.46 tff(22307,plain,
% 14.38/10.46 ((~(v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0))) | (~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22308,plain,
% 14.38/10.46 (~v127(constB139, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22307, 22306, 22299])).
% 14.38/10.46 tff(22309,plain,
% 14.38/10.46 ((~(v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0))) | (~v129(constB140, bitIndex0)) | v127(constB139, bitIndex0)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22310,plain,
% 14.38/10.46 (~v129(constB140, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22309, 22308, 22295])).
% 14.38/10.46 tff(22311,plain,
% 14.38/10.46 ((~(v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22312,plain,
% 14.38/10.46 (~v90(constB140, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22311, 22310, 22291])).
% 14.38/10.46 tff(22313,plain,
% 14.38/10.46 ((~(v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0))) | (~v90(constB141, bitIndex0)) | v90(constB140, bitIndex0)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22314,plain,
% 14.38/10.46 (~v90(constB141, bitIndex0)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22313, 22312, 22287])).
% 14.38/10.46 tff(22315,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22316,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22317,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 14.38/10.46 tff(22318,plain,
% 14.38/10.46 (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22317, 1288, 20357])).
% 14.38/10.46 tff(22319,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22320,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22321,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 14.38/10.46 tff(22322,plain,
% 14.38/10.46 (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22321, 1288, 22243])).
% 14.38/10.46 tff(22323,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22324,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22325,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 14.38/10.46 tff(22326,plain,
% 14.38/10.46 (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22325, 1288, 22251])).
% 14.38/10.46 tff(22327,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22328,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22329,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 14.38/10.46 tff(22330,plain,
% 14.38/10.46 (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22329, 1288, 22259])).
% 14.38/10.46 tff(22331,plain,
% 14.38/10.46 (((~![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)))),
% 14.38/10.46 inference(rewrite,[status(thm)],[])).
% 14.38/10.46 tff(22332,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b100(bitIndex1)))),
% 14.38/10.46 inference(quant_inst,[status(thm)],[])).
% 14.38/10.46 tff(22333,plain,
% 14.38/10.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b100(bitIndex1))),
% 14.38/10.46 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 14.38/10.46 tff(22334,plain,
% 14.38/10.46 (v130(constB139, bitIndex1) <=> b100(bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22333, 1288, 22268])).
% 14.38/10.46 tff(22335,plain,
% 14.38/10.46 ((~(v130(constB139, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB139, bitIndex1)) | b100(bitIndex1)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22336,plain,
% 14.38/10.46 ((~(v130(constB139, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB139, bitIndex1))),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22335, 2088])).
% 14.38/10.46 tff(22337,plain,
% 14.38/10.46 (~v130(constB139, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22336, 22334])).
% 14.38/10.46 tff(22338,plain,
% 14.38/10.46 ((~(v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1))) | (~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22339,plain,
% 14.38/10.46 (~v127(constB139, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22338, 22337, 22330])).
% 14.38/10.46 tff(22340,plain,
% 14.38/10.46 ((~(v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1))) | (~v129(constB140, bitIndex1)) | v127(constB139, bitIndex1)),
% 14.38/10.46 inference(tautology,[status(thm)],[])).
% 14.38/10.46 tff(22341,plain,
% 14.38/10.46 (~v129(constB140, bitIndex1)),
% 14.38/10.46 inference(unit_resolution,[status(thm)],[22340, 22339, 22326])).
% 14.38/10.46 tff(22342,plain,
% 14.38/10.46 ((~(v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1)),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22343,plain,
% 14.38/10.47 (~v90(constB140, bitIndex1)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22342, 22341, 22322])).
% 14.38/10.47 tff(22344,plain,
% 14.38/10.47 ((~(v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1))) | (~v90(constB141, bitIndex1)) | v90(constB140, bitIndex1)),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22345,plain,
% 14.38/10.47 (~v90(constB141, bitIndex1)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22344, 22343, 22318])).
% 14.38/10.47 tff(22346,plain,
% 14.38/10.47 ((~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))) | (~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22347,plain,
% 14.38/10.47 (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22346, 22345, 22314, 22283])).
% 14.38/10.47 tff(22348,plain,
% 14.38/10.47 ((~(v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))) | v123(constB141) | ((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22349,plain,
% 14.38/10.47 (v123(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22348, 22347, 20329])).
% 14.38/10.47 tff(22350,plain,
% 14.38/10.47 ((v116(constB141) | v123(constB141)) | (~v123(constB141))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22351,plain,
% 14.38/10.47 (v116(constB141) | v123(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22350, 22349])).
% 14.38/10.47 tff(22352,plain,
% 14.38/10.47 ((~(v115(constB141) <=> (v116(constB141) | v123(constB141)))) | v115(constB141) | (~(v116(constB141) | v123(constB141)))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22353,plain,
% 14.38/10.47 (v115(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22352, 22351, 20322])).
% 14.38/10.47 tff(22354,plain,
% 14.38/10.47 ((v115(constB141) | v124(constB141)) | (~v115(constB141))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22355,plain,
% 14.38/10.47 (v115(constB141) | v124(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22354, 22353])).
% 14.38/10.47 tff(22356,plain,
% 14.38/10.47 ((~(v114(constB141) <=> (v115(constB141) | v124(constB141)))) | v114(constB141) | (~(v115(constB141) | v124(constB141)))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22357,plain,
% 14.38/10.47 (v114(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22356, 22355, 20320])).
% 14.38/10.47 tff(22358,plain,
% 14.38/10.47 ((v114(constB141) | v125(constB141)) | (~v114(constB141))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22359,plain,
% 14.38/10.47 (v114(constB141) | v125(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22358, 22357])).
% 14.38/10.47 tff(22360,plain,
% 14.38/10.47 ((~(v113(constB141) <=> (v114(constB141) | v125(constB141)))) | v113(constB141) | (~(v114(constB141) | v125(constB141)))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22361,plain,
% 14.38/10.47 (v113(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22360, 22359, 20318])).
% 14.38/10.47 tff(22362,plain,
% 14.38/10.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB141)) <=> v111(constB141))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22363,plain,
% 14.38/10.47 ((~v126(constB141)) <=> v111(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22362, 1345])).
% 14.38/10.47 tff(22364,plain,
% 14.38/10.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB141) <=> v26(constB141))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22365,plain,
% 14.38/10.47 (v111(constB141) <=> v26(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22364, 1357])).
% 14.38/10.47 tff(22366,plain,
% 14.38/10.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22367,plain,
% 14.38/10.47 (~v26(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22366, 1369])).
% 14.38/10.47 tff(22368,plain,
% 14.38/10.47 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141)) | v26(constB141)),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22369,plain,
% 14.38/10.47 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22368, 22367])).
% 14.38/10.47 tff(22370,plain,
% 14.38/10.47 (~v111(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22369, 22365])).
% 14.38/10.47 tff(22371,plain,
% 14.38/10.47 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141) | v111(constB141)),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22372,plain,
% 14.38/10.47 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22371, 22370])).
% 14.38/10.47 tff(22373,plain,
% 14.38/10.47 (v126(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22372, 22363])).
% 14.38/10.47 tff(22374,plain,
% 14.38/10.47 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141)) | (~v126(constB141))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22375,plain,
% 14.38/10.47 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22374, 22373])).
% 14.38/10.47 tff(22376,plain,
% 14.38/10.47 (~((~v113(constB141)) | (~v126(constB141)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22375, 22361])).
% 14.38/10.47 tff(22377,plain,
% 14.38/10.47 ((~(v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))) | v112(constB141) | ((~v113(constB141)) | (~v126(constB141)))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22378,plain,
% 14.38/10.47 (v112(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22377, 22376, 20316])).
% 14.38/10.47 tff(22379,plain,
% 14.38/10.47 ((v111(constB141) | v112(constB141)) | (~v112(constB141))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22380,plain,
% 14.38/10.47 (v111(constB141) | v112(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22379, 22378])).
% 14.38/10.47 tff(22381,plain,
% 14.38/10.47 ((~(v108(constB141) <=> (v111(constB141) | v112(constB141)))) | v108(constB141) | (~(v111(constB141) | v112(constB141)))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22382,plain,
% 14.38/10.47 (v108(constB141)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22381, 22380, 20314])).
% 14.38/10.47 tff(22383,plain,
% 14.38/10.47 ((~(v110(constB142) <=> v108(constB141))) | v110(constB142) | (~v108(constB141))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22384,plain,
% 14.38/10.47 (v110(constB142)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22383, 22382, 20312])).
% 14.38/10.47 tff(22385,plain,
% 14.38/10.47 ((~((~v101(constB142)) | (~v110(constB142)))) | (~v101(constB142)) | (~v110(constB142))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22386,plain,
% 14.38/10.47 (~((~v101(constB142)) | (~v110(constB142)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22385, 22384, 20308])).
% 14.38/10.47 tff(22387,plain,
% 14.38/10.47 ((~(v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))) | v100(constB142) | ((~v101(constB142)) | (~v110(constB142)))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22388,plain,
% 14.38/10.47 (v100(constB142)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22387, 22386, 20277])).
% 14.38/10.47 tff(22389,plain,
% 14.38/10.47 (((~![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))))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22390,plain,
% 14.38/10.47 ((~![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))))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22391,plain,
% 14.38/10.47 ((~![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)))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 14.38/10.47 tff(22392,plain,
% 14.38/10.47 ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22391, 1405])).
% 14.38/10.47 tff(22393,plain,
% 14.38/10.47 (![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22392, 22388])).
% 14.38/10.47 tff(22394,plain,
% 14.38/10.47 (((~![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)))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22395,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22396,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22395, 22394])).
% 14.38/10.47 tff(22397,plain,
% 14.38/10.47 (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22396, 579, 22393])).
% 14.38/10.47 tff(22398,plain,
% 14.38/10.47 (((~![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))))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22399,plain,
% 14.38/10.47 ((~![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))))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22400,plain,
% 14.38/10.47 ((~![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)))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 14.38/10.47 tff(22401,plain,
% 14.38/10.47 (![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22400, 20273, 1427])).
% 14.38/10.47 tff(22402,plain,
% 14.38/10.47 (((~![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)))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22403,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22404,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22403, 22402])).
% 14.38/10.47 tff(22405,plain,
% 14.38/10.47 (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22404, 579, 22401])).
% 14.38/10.47 tff(22406,plain,
% 14.38/10.47 (((~![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))))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22407,plain,
% 14.38/10.47 ((~![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))))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22408,plain,
% 14.38/10.47 ((~![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)))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 14.38/10.47 tff(22409,plain,
% 14.38/10.47 (![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22408, 1448, 22370])).
% 14.38/10.47 tff(22410,plain,
% 14.38/10.47 (((~![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)))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22411,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22412,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22411, 22410])).
% 14.38/10.47 tff(22413,plain,
% 14.38/10.47 (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22412, 579, 22409])).
% 14.38/10.47 tff(22414,plain,
% 14.38/10.47 (((~![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))))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22415,plain,
% 14.38/10.47 ((~![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))))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22416,plain,
% 14.38/10.47 ((~![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)))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22415, 22414])).
% 14.38/10.47 tff(22417,plain,
% 14.38/10.47 ((~v123(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22416, 2180])).
% 14.38/10.47 tff(22418,plain,
% 14.38/10.47 (![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22417, 22349])).
% 14.38/10.47 tff(22419,plain,
% 14.38/10.47 (((~![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)))),
% 14.38/10.47 inference(rewrite,[status(thm)],[])).
% 14.38/10.47 tff(22420,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b101(bitIndex2)))),
% 14.38/10.47 inference(quant_inst,[status(thm)],[])).
% 14.38/10.47 tff(22421,plain,
% 14.38/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b101(bitIndex2))),
% 14.38/10.47 inference(modus_ponens,[status(thm)],[22420, 22419])).
% 14.38/10.47 tff(22422,plain,
% 14.38/10.47 (v130(constB141, bitIndex2) <=> b101(bitIndex2)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22421, 579, 22418])).
% 14.38/10.47 tff(22423,plain,
% 14.38/10.47 ((~(v130(constB141, bitIndex2) <=> b101(bitIndex2))) | v130(constB141, bitIndex2) | (~b101(bitIndex2))),
% 14.38/10.47 inference(tautology,[status(thm)],[])).
% 14.38/10.47 tff(22424,plain,
% 14.38/10.47 ((~(v130(constB141, bitIndex2) <=> b101(bitIndex2))) | v130(constB141, bitIndex2)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22423, 2192])).
% 14.38/10.47 tff(22425,plain,
% 14.38/10.47 (v130(constB141, bitIndex2)),
% 14.38/10.47 inference(unit_resolution,[status(thm)],[22424, 22422])).
% 14.38/10.48 tff(22426,plain,
% 14.38/10.48 ((~(v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2))) | v127(constB141, bitIndex2) | (~v130(constB141, bitIndex2))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22427,plain,
% 14.38/10.48 (v127(constB141, bitIndex2)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22426, 22425, 22413])).
% 14.38/10.48 tff(22428,plain,
% 14.38/10.48 ((~(v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2))) | v129(constB142, bitIndex2) | (~v127(constB141, bitIndex2))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22429,plain,
% 14.38/10.48 (v129(constB142, bitIndex2)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22428, 22427, 22405])).
% 14.38/10.48 tff(22430,plain,
% 14.38/10.48 ((~(v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22431,plain,
% 14.38/10.48 (v90(constB142, bitIndex2)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22430, 22429, 22397])).
% 14.38/10.48 tff(22432,plain,
% 14.38/10.48 ((~(v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2))) | v90(constB143, bitIndex2) | (~v90(constB142, bitIndex2))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22433,plain,
% 14.38/10.48 (v90(constB143, bitIndex2)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22432, 22431, 20270])).
% 14.38/10.48 tff(22434,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22435,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22436,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22435, 22434])).
% 14.38/10.48 tff(22437,plain,
% 14.38/10.48 (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22436, 1275, 20266])).
% 14.38/10.48 tff(22438,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22439,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22440,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 14.38/10.48 tff(22441,plain,
% 14.38/10.48 (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22440, 1275, 22393])).
% 14.38/10.48 tff(22442,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22443,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22444,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 14.38/10.48 tff(22445,plain,
% 14.38/10.48 (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22444, 1275, 22401])).
% 14.38/10.48 tff(22446,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22447,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22448,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 14.38/10.48 tff(22449,plain,
% 14.38/10.48 (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22448, 1275, 22409])).
% 14.38/10.48 tff(22450,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22451,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b101(bitIndex0)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22452,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b101(bitIndex0))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 14.38/10.48 tff(22453,plain,
% 14.38/10.48 (v130(constB141, bitIndex0) <=> b101(bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22452, 1275, 22418])).
% 14.38/10.48 tff(22454,plain,
% 14.38/10.48 ((~(v130(constB141, bitIndex0) <=> b101(bitIndex0))) | v130(constB141, bitIndex0) | (~b101(bitIndex0))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22455,plain,
% 14.38/10.48 ((~(v130(constB141, bitIndex0) <=> b101(bitIndex0))) | v130(constB141, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22454, 2351])).
% 14.38/10.48 tff(22456,plain,
% 14.38/10.48 (v130(constB141, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22455, 22453])).
% 14.38/10.48 tff(22457,plain,
% 14.38/10.48 ((~(v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0))) | v127(constB141, bitIndex0) | (~v130(constB141, bitIndex0))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22458,plain,
% 14.38/10.48 (v127(constB141, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22457, 22456, 22449])).
% 14.38/10.48 tff(22459,plain,
% 14.38/10.48 ((~(v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0))) | v129(constB142, bitIndex0) | (~v127(constB141, bitIndex0))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22460,plain,
% 14.38/10.48 (v129(constB142, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22459, 22458, 22445])).
% 14.38/10.48 tff(22461,plain,
% 14.38/10.48 ((~(v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22462,plain,
% 14.38/10.48 (v90(constB142, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22461, 22460, 22441])).
% 14.38/10.48 tff(22463,plain,
% 14.38/10.48 ((~(v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0))) | v90(constB143, bitIndex0) | (~v90(constB142, bitIndex0))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22464,plain,
% 14.38/10.48 (v90(constB143, bitIndex0)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22463, 22462, 22437])).
% 14.38/10.48 tff(22465,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22466,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22467,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22466, 22465])).
% 14.38/10.48 tff(22468,plain,
% 14.38/10.48 (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22467, 1288, 20266])).
% 14.38/10.48 tff(22469,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22470,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22471,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 14.38/10.48 tff(22472,plain,
% 14.38/10.48 (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22471, 1288, 22393])).
% 14.38/10.48 tff(22473,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22474,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22475,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22474, 22473])).
% 14.38/10.48 tff(22476,plain,
% 14.38/10.48 (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22475, 1288, 22401])).
% 14.38/10.48 tff(22477,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22478,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22479,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22478, 22477])).
% 14.38/10.48 tff(22480,plain,
% 14.38/10.48 (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22479, 1288, 22409])).
% 14.38/10.48 tff(22481,plain,
% 14.38/10.48 (((~![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)))),
% 14.38/10.48 inference(rewrite,[status(thm)],[])).
% 14.38/10.48 tff(22482,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b101(bitIndex1)))),
% 14.38/10.48 inference(quant_inst,[status(thm)],[])).
% 14.38/10.48 tff(22483,plain,
% 14.38/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b101(bitIndex1))),
% 14.38/10.48 inference(modus_ponens,[status(thm)],[22482, 22481])).
% 14.38/10.48 tff(22484,plain,
% 14.38/10.48 (v130(constB141, bitIndex1) <=> b101(bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22483, 1288, 22418])).
% 14.38/10.48 tff(22485,plain,
% 14.38/10.48 ((~(v130(constB141, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB141, bitIndex1)) | b101(bitIndex1)),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22486,plain,
% 14.38/10.48 ((~(v130(constB141, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB141, bitIndex1))),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22485, 2391])).
% 14.38/10.48 tff(22487,plain,
% 14.38/10.48 (~v130(constB141, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22486, 22484])).
% 14.38/10.48 tff(22488,plain,
% 14.38/10.48 ((~(v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1))) | (~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22489,plain,
% 14.38/10.48 (~v127(constB141, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22488, 22487, 22480])).
% 14.38/10.48 tff(22490,plain,
% 14.38/10.48 ((~(v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1))) | (~v129(constB142, bitIndex1)) | v127(constB141, bitIndex1)),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22491,plain,
% 14.38/10.48 (~v129(constB142, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22490, 22489, 22476])).
% 14.38/10.48 tff(22492,plain,
% 14.38/10.48 ((~(v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22493,plain,
% 14.38/10.48 (~v90(constB142, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22492, 22491, 22472])).
% 14.38/10.48 tff(22494,plain,
% 14.38/10.48 ((~(v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1))) | (~v90(constB143, bitIndex1)) | v90(constB142, bitIndex1)),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22495,plain,
% 14.38/10.48 (~v90(constB143, bitIndex1)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22494, 22493, 22468])).
% 14.38/10.48 tff(22496,plain,
% 14.38/10.48 ((~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))) | (~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22497,plain,
% 14.38/10.48 (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22496, 22495, 22464, 22433])).
% 14.38/10.48 tff(22498,plain,
% 14.38/10.48 ((~(v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))) | v124(constB143) | ((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22499,plain,
% 14.38/10.48 (v124(constB143)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22498, 22497, 20238])).
% 14.38/10.48 tff(22500,plain,
% 14.38/10.48 ((v115(constB143) | v124(constB143)) | (~v124(constB143))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22501,plain,
% 14.38/10.48 (v115(constB143) | v124(constB143)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22500, 22499])).
% 14.38/10.48 tff(22502,plain,
% 14.38/10.48 ((~(v114(constB143) <=> (v115(constB143) | v124(constB143)))) | v114(constB143) | (~(v115(constB143) | v124(constB143)))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22503,plain,
% 14.38/10.48 (v114(constB143)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22502, 22501, 20231])).
% 14.38/10.48 tff(22504,plain,
% 14.38/10.48 ((v114(constB143) | v125(constB143)) | (~v114(constB143))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.48 tff(22505,plain,
% 14.38/10.48 (v114(constB143) | v125(constB143)),
% 14.38/10.48 inference(unit_resolution,[status(thm)],[22504, 22503])).
% 14.38/10.48 tff(22506,plain,
% 14.38/10.48 ((~(v113(constB143) <=> (v114(constB143) | v125(constB143)))) | v113(constB143) | (~(v114(constB143) | v125(constB143)))),
% 14.38/10.48 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22507,plain,
% 14.38/10.49 (v113(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22506, 22505, 20229])).
% 14.38/10.49 tff(22508,plain,
% 14.38/10.49 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB143)) <=> v111(constB143))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22509,plain,
% 14.38/10.49 ((~v126(constB143)) <=> v111(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22508, 1345])).
% 14.38/10.49 tff(22510,plain,
% 14.38/10.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB143) <=> v26(constB143))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22511,plain,
% 14.38/10.49 (v111(constB143) <=> v26(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22510, 1357])).
% 14.38/10.49 tff(22512,plain,
% 14.38/10.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22513,plain,
% 14.38/10.49 (~v26(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22512, 1369])).
% 14.38/10.49 tff(22514,plain,
% 14.38/10.49 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143)) | v26(constB143)),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22515,plain,
% 14.38/10.49 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22514, 22513])).
% 14.38/10.49 tff(22516,plain,
% 14.38/10.49 (~v111(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22515, 22511])).
% 14.38/10.49 tff(22517,plain,
% 14.38/10.49 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143) | v111(constB143)),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22518,plain,
% 14.38/10.49 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22517, 22516])).
% 14.38/10.49 tff(22519,plain,
% 14.38/10.49 (v126(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22518, 22509])).
% 14.38/10.49 tff(22520,plain,
% 14.38/10.49 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143)) | (~v126(constB143))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22521,plain,
% 14.38/10.49 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22520, 22519])).
% 14.38/10.49 tff(22522,plain,
% 14.38/10.49 (~((~v113(constB143)) | (~v126(constB143)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22521, 22507])).
% 14.38/10.49 tff(22523,plain,
% 14.38/10.49 ((~(v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))) | v112(constB143) | ((~v113(constB143)) | (~v126(constB143)))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22524,plain,
% 14.38/10.49 (v112(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22523, 22522, 20227])).
% 14.38/10.49 tff(22525,plain,
% 14.38/10.49 ((v111(constB143) | v112(constB143)) | (~v112(constB143))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22526,plain,
% 14.38/10.49 (v111(constB143) | v112(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22525, 22524])).
% 14.38/10.49 tff(22527,plain,
% 14.38/10.49 ((~(v108(constB143) <=> (v111(constB143) | v112(constB143)))) | v108(constB143) | (~(v111(constB143) | v112(constB143)))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22528,plain,
% 14.38/10.49 (v108(constB143)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22527, 22526, 20225])).
% 14.38/10.49 tff(22529,plain,
% 14.38/10.49 ((~(v110(constB144) <=> v108(constB143))) | v110(constB144) | (~v108(constB143))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22530,plain,
% 14.38/10.49 (v110(constB144)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22529, 22528, 20223])).
% 14.38/10.49 tff(22531,plain,
% 14.38/10.49 ((~((~v101(constB144)) | (~v110(constB144)))) | (~v101(constB144)) | (~v110(constB144))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22532,plain,
% 14.38/10.49 (~((~v101(constB144)) | (~v110(constB144)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22531, 22530, 20219])).
% 14.38/10.49 tff(22533,plain,
% 14.38/10.49 ((~(v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))) | v100(constB144) | ((~v101(constB144)) | (~v110(constB144)))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22534,plain,
% 14.38/10.49 (v100(constB144)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22533, 22532, 20188])).
% 14.38/10.49 tff(22535,plain,
% 14.38/10.49 (((~![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))))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22536,plain,
% 14.38/10.49 ((~![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))))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22537,plain,
% 14.38/10.49 ((~![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)))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 14.38/10.49 tff(22538,plain,
% 14.38/10.49 ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22537, 1405])).
% 14.38/10.49 tff(22539,plain,
% 14.38/10.49 (![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22538, 22534])).
% 14.38/10.49 tff(22540,plain,
% 14.38/10.49 (((~![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)))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22541,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22542,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22541, 22540])).
% 14.38/10.49 tff(22543,plain,
% 14.38/10.49 (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22542, 579, 22539])).
% 14.38/10.49 tff(22544,plain,
% 14.38/10.49 (((~![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))))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22545,plain,
% 14.38/10.49 ((~![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))))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22546,plain,
% 14.38/10.49 ((~![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)))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 14.38/10.49 tff(22547,plain,
% 14.38/10.49 (![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22546, 20184, 1427])).
% 14.38/10.49 tff(22548,plain,
% 14.38/10.49 (((~![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)))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22549,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22550,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22549, 22548])).
% 14.38/10.49 tff(22551,plain,
% 14.38/10.49 (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22550, 579, 22547])).
% 14.38/10.49 tff(22552,plain,
% 14.38/10.49 (((~![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))))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22553,plain,
% 14.38/10.49 ((~![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))))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22554,plain,
% 14.38/10.49 ((~![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)))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 14.38/10.49 tff(22555,plain,
% 14.38/10.49 (![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22554, 1448, 22516])).
% 14.38/10.49 tff(22556,plain,
% 14.38/10.49 (((~![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)))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22557,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22558,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22557, 22556])).
% 14.38/10.49 tff(22559,plain,
% 14.38/10.49 (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22558, 579, 22555])).
% 14.38/10.49 tff(22560,plain,
% 14.38/10.49 (((~![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))))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22561,plain,
% 14.38/10.49 ((~![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))))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22562,plain,
% 14.38/10.49 ((~![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)))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 14.38/10.49 tff(22563,plain,
% 14.38/10.49 ((~v124(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22562, 2735])).
% 14.38/10.49 tff(22564,plain,
% 14.38/10.49 (![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22563, 22499])).
% 14.38/10.49 tff(22565,plain,
% 14.38/10.49 (((~![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)))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22566,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22567,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 14.38/10.49 tff(22568,plain,
% 14.38/10.49 (v130(constB143, bitIndex2) <=> b110(bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22567, 579, 22564])).
% 14.38/10.49 tff(22569,plain,
% 14.38/10.49 ((~(v130(constB143, bitIndex2) <=> b110(bitIndex2))) | v130(constB143, bitIndex2) | (~b110(bitIndex2))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22570,plain,
% 14.38/10.49 ((~(v130(constB143, bitIndex2) <=> b110(bitIndex2))) | v130(constB143, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22569, 2747])).
% 14.38/10.49 tff(22571,plain,
% 14.38/10.49 (v130(constB143, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22570, 22568])).
% 14.38/10.49 tff(22572,plain,
% 14.38/10.49 ((~(v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2))) | v127(constB143, bitIndex2) | (~v130(constB143, bitIndex2))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22573,plain,
% 14.38/10.49 (v127(constB143, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22572, 22571, 22559])).
% 14.38/10.49 tff(22574,plain,
% 14.38/10.49 ((~(v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2))) | v129(constB144, bitIndex2) | (~v127(constB143, bitIndex2))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22575,plain,
% 14.38/10.49 (v129(constB144, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22574, 22573, 22551])).
% 14.38/10.49 tff(22576,plain,
% 14.38/10.49 ((~(v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22577,plain,
% 14.38/10.49 (v90(constB144, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22576, 22575, 22543])).
% 14.38/10.49 tff(22578,plain,
% 14.38/10.49 ((~(v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2))) | v90(constB145, bitIndex2) | (~v90(constB144, bitIndex2))),
% 14.38/10.49 inference(tautology,[status(thm)],[])).
% 14.38/10.49 tff(22579,plain,
% 14.38/10.49 (v90(constB145, bitIndex2)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22578, 22577, 20181])).
% 14.38/10.49 tff(22580,plain,
% 14.38/10.49 (((~![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)))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22581,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.49 tff(22582,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0))),
% 14.38/10.49 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 14.38/10.49 tff(22583,plain,
% 14.38/10.49 (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)),
% 14.38/10.49 inference(unit_resolution,[status(thm)],[22582, 1275, 20177])).
% 14.38/10.49 tff(22584,plain,
% 14.38/10.49 (((~![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)))),
% 14.38/10.49 inference(rewrite,[status(thm)],[])).
% 14.38/10.49 tff(22585,plain,
% 14.38/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))),
% 14.38/10.49 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22586,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22585, 22584])).
% 14.38/10.50 tff(22587,plain,
% 14.38/10.50 (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22586, 1275, 22539])).
% 14.38/10.50 tff(22588,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22589,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22590,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22589, 22588])).
% 14.38/10.50 tff(22591,plain,
% 14.38/10.50 (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22590, 1275, 22547])).
% 14.38/10.50 tff(22592,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22593,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22594,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22593, 22592])).
% 14.38/10.50 tff(22595,plain,
% 14.38/10.50 (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22594, 1275, 22555])).
% 14.38/10.50 tff(22596,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22597,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22598,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 14.38/10.50 tff(22599,plain,
% 14.38/10.50 (v130(constB143, bitIndex0) <=> b110(bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22598, 1275, 22564])).
% 14.38/10.50 tff(22600,plain,
% 14.38/10.50 ((~(v130(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB143, bitIndex0)) | b110(bitIndex0)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22601,plain,
% 14.38/10.50 ((~(v130(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB143, bitIndex0))),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22600, 2862])).
% 14.38/10.50 tff(22602,plain,
% 14.38/10.50 (~v130(constB143, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22601, 22599])).
% 14.38/10.50 tff(22603,plain,
% 14.38/10.50 ((~(v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0))) | (~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22604,plain,
% 14.38/10.50 (~v127(constB143, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22603, 22602, 22595])).
% 14.38/10.50 tff(22605,plain,
% 14.38/10.50 ((~(v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0))) | (~v129(constB144, bitIndex0)) | v127(constB143, bitIndex0)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22606,plain,
% 14.38/10.50 (~v129(constB144, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22605, 22604, 22591])).
% 14.38/10.50 tff(22607,plain,
% 14.38/10.50 ((~(v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22608,plain,
% 14.38/10.50 (~v90(constB144, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22607, 22606, 22587])).
% 14.38/10.50 tff(22609,plain,
% 14.38/10.50 ((~(v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0))) | (~v90(constB145, bitIndex0)) | v90(constB144, bitIndex0)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22610,plain,
% 14.38/10.50 (~v90(constB145, bitIndex0)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22609, 22608, 22583])).
% 14.38/10.50 tff(22611,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22612,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22613,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 14.38/10.50 tff(22614,plain,
% 14.38/10.50 (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22613, 1288, 20177])).
% 14.38/10.50 tff(22615,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22616,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22617,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22616, 22615])).
% 14.38/10.50 tff(22618,plain,
% 14.38/10.50 (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22617, 1288, 22539])).
% 14.38/10.50 tff(22619,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22620,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22621,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22620, 22619])).
% 14.38/10.50 tff(22622,plain,
% 14.38/10.50 (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22621, 1288, 22547])).
% 14.38/10.50 tff(22623,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22624,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22625,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22624, 22623])).
% 14.38/10.50 tff(22626,plain,
% 14.38/10.50 (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22625, 1288, 22555])).
% 14.38/10.50 tff(22627,plain,
% 14.38/10.50 (((~![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)))),
% 14.38/10.50 inference(rewrite,[status(thm)],[])).
% 14.38/10.50 tff(22628,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22629,plain,
% 14.38/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1))),
% 14.38/10.50 inference(modus_ponens,[status(thm)],[22628, 22627])).
% 14.38/10.50 tff(22630,plain,
% 14.38/10.50 (v130(constB143, bitIndex1) <=> b110(bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22629, 1288, 22564])).
% 14.38/10.50 tff(22631,plain,
% 14.38/10.50 ((~(v130(constB143, bitIndex1) <=> b110(bitIndex1))) | v130(constB143, bitIndex1) | (~b110(bitIndex1))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22632,plain,
% 14.38/10.50 ((~(v130(constB143, bitIndex1) <=> b110(bitIndex1))) | v130(constB143, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22631, 2902])).
% 14.38/10.50 tff(22633,plain,
% 14.38/10.50 (v130(constB143, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22632, 22630])).
% 14.38/10.50 tff(22634,plain,
% 14.38/10.50 ((~(v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1))) | v127(constB143, bitIndex1) | (~v130(constB143, bitIndex1))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22635,plain,
% 14.38/10.50 (v127(constB143, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22634, 22633, 22626])).
% 14.38/10.50 tff(22636,plain,
% 14.38/10.50 ((~(v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1))) | v129(constB144, bitIndex1) | (~v127(constB143, bitIndex1))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22637,plain,
% 14.38/10.50 (v129(constB144, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22636, 22635, 22622])).
% 14.38/10.50 tff(22638,plain,
% 14.38/10.50 ((~(v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22639,plain,
% 14.38/10.50 (v90(constB144, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22638, 22637, 22618])).
% 14.38/10.50 tff(22640,plain,
% 14.38/10.50 ((~(v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1))) | v90(constB145, bitIndex1) | (~v90(constB144, bitIndex1))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22641,plain,
% 14.38/10.50 (v90(constB145, bitIndex1)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22640, 22639, 22614])).
% 14.38/10.50 tff(22642,plain,
% 14.38/10.50 ((~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22643,plain,
% 14.38/10.50 (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22642, 22641, 22610, 22579])).
% 14.38/10.50 tff(22644,plain,
% 14.38/10.50 ((~(v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) | v125(constB145) | ((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22645,plain,
% 14.38/10.50 (v125(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22644, 22643, 20149])).
% 14.38/10.50 tff(22646,plain,
% 14.38/10.50 ((v114(constB145) | v125(constB145)) | (~v125(constB145))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22647,plain,
% 14.38/10.50 (v114(constB145) | v125(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22646, 22645])).
% 14.38/10.50 tff(22648,plain,
% 14.38/10.50 ((~(v113(constB145) <=> (v114(constB145) | v125(constB145)))) | v113(constB145) | (~(v114(constB145) | v125(constB145)))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22649,plain,
% 14.38/10.50 (v113(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22648, 22647, 20142])).
% 14.38/10.50 tff(22650,plain,
% 14.38/10.50 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB145)) <=> v111(constB145))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22651,plain,
% 14.38/10.50 ((~v126(constB145)) <=> v111(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22650, 1345])).
% 14.38/10.50 tff(22652,plain,
% 14.38/10.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB145) <=> v26(constB145))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22653,plain,
% 14.38/10.50 (v111(constB145) <=> v26(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22652, 1357])).
% 14.38/10.50 tff(22654,plain,
% 14.38/10.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 14.38/10.50 inference(quant_inst,[status(thm)],[])).
% 14.38/10.50 tff(22655,plain,
% 14.38/10.50 (~v26(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22654, 1369])).
% 14.38/10.50 tff(22656,plain,
% 14.38/10.50 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145)) | v26(constB145)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22657,plain,
% 14.38/10.50 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145))),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22656, 22655])).
% 14.38/10.50 tff(22658,plain,
% 14.38/10.50 (~v111(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22657, 22653])).
% 14.38/10.50 tff(22659,plain,
% 14.38/10.50 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145) | v111(constB145)),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22660,plain,
% 14.38/10.50 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22659, 22658])).
% 14.38/10.50 tff(22661,plain,
% 14.38/10.50 (v126(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22660, 22651])).
% 14.38/10.50 tff(22662,plain,
% 14.38/10.50 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145)) | (~v126(constB145))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22663,plain,
% 14.38/10.50 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145))),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22662, 22661])).
% 14.38/10.50 tff(22664,plain,
% 14.38/10.50 (~((~v113(constB145)) | (~v126(constB145)))),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22663, 22649])).
% 14.38/10.50 tff(22665,plain,
% 14.38/10.50 ((~(v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))) | v112(constB145) | ((~v113(constB145)) | (~v126(constB145)))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22666,plain,
% 14.38/10.50 (v112(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22665, 22664, 20140])).
% 14.38/10.50 tff(22667,plain,
% 14.38/10.50 ((v111(constB145) | v112(constB145)) | (~v112(constB145))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22668,plain,
% 14.38/10.50 (v111(constB145) | v112(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22667, 22666])).
% 14.38/10.50 tff(22669,plain,
% 14.38/10.50 ((~(v108(constB145) <=> (v111(constB145) | v112(constB145)))) | v108(constB145) | (~(v111(constB145) | v112(constB145)))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22670,plain,
% 14.38/10.50 (v108(constB145)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22669, 22668, 20138])).
% 14.38/10.50 tff(22671,plain,
% 14.38/10.50 ((~(v110(constB146) <=> v108(constB145))) | v110(constB146) | (~v108(constB145))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.50 tff(22672,plain,
% 14.38/10.50 (v110(constB146)),
% 14.38/10.50 inference(unit_resolution,[status(thm)],[22671, 22670, 20136])).
% 14.38/10.50 tff(22673,plain,
% 14.38/10.50 ((~((~v101(constB146)) | (~v110(constB146)))) | (~v101(constB146)) | (~v110(constB146))),
% 14.38/10.50 inference(tautology,[status(thm)],[])).
% 14.38/10.51 tff(22674,plain,
% 14.38/10.51 (~((~v101(constB146)) | (~v110(constB146)))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22673, 22672, 20132])).
% 14.38/10.51 tff(22675,plain,
% 14.38/10.51 ((~(v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))) | v100(constB146) | ((~v101(constB146)) | (~v110(constB146)))),
% 14.38/10.51 inference(tautology,[status(thm)],[])).
% 14.38/10.51 tff(22676,plain,
% 14.38/10.51 (v100(constB146)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22675, 22674, 20101])).
% 14.38/10.51 tff(22677,plain,
% 14.38/10.51 (((~![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))))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22678,plain,
% 14.38/10.51 ((~![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))))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22679,plain,
% 14.38/10.51 ((~![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)))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 14.38/10.51 tff(22680,plain,
% 14.38/10.51 ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22679, 1405])).
% 14.38/10.51 tff(22681,plain,
% 14.38/10.51 (![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22680, 22676])).
% 14.38/10.51 tff(22682,plain,
% 14.38/10.51 (((~![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)))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22683,plain,
% 14.38/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22684,plain,
% 14.38/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22683, 22682])).
% 14.38/10.51 tff(22685,plain,
% 14.38/10.51 (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22684, 579, 22681])).
% 14.38/10.51 tff(22686,plain,
% 14.38/10.51 (((~![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))))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22687,plain,
% 14.38/10.51 ((~![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))))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22688,plain,
% 14.38/10.51 ((~![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)))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22687, 22686])).
% 14.38/10.51 tff(22689,plain,
% 14.38/10.51 (![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22688, 20097, 1427])).
% 14.38/10.51 tff(22690,plain,
% 14.38/10.51 (((~![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)))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22691,plain,
% 14.38/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22692,plain,
% 14.38/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22691, 22690])).
% 14.38/10.51 tff(22693,plain,
% 14.38/10.51 (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22692, 579, 22689])).
% 14.38/10.51 tff(22694,plain,
% 14.38/10.51 (((~![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))))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22695,plain,
% 14.38/10.51 ((~![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))))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22696,plain,
% 14.38/10.51 ((~![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)))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22695, 22694])).
% 14.38/10.51 tff(22697,plain,
% 14.38/10.51 (![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22696, 1448, 22658])).
% 14.38/10.51 tff(22698,plain,
% 14.38/10.51 (((~![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)))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22699,plain,
% 14.38/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22700,plain,
% 14.38/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22699, 22698])).
% 14.38/10.51 tff(22701,plain,
% 14.38/10.51 (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22700, 579, 22697])).
% 14.38/10.51 tff(22702,plain,
% 14.38/10.51 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22703,plain,
% 14.38/10.51 (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22702, 1242])).
% 14.38/10.51 tff(22704,plain,
% 14.38/10.51 ((v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex2))),
% 14.38/10.51 inference(tautology,[status(thm)],[])).
% 14.38/10.51 tff(22705,plain,
% 14.38/10.51 (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22704, 22579])).
% 14.38/10.51 tff(22706,plain,
% 14.38/10.51 ((~(v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))) | (~v119(constB145)) | (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 14.38/10.51 inference(tautology,[status(thm)],[])).
% 14.38/10.51 tff(22707,plain,
% 14.38/10.51 (~v119(constB145)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22706, 22705, 22703])).
% 14.38/10.51 tff(22708,plain,
% 14.38/10.51 (((~![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))))))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22709,plain,
% 14.38/10.51 ((v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))))) <=> (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.51 inference(rewrite,[status(thm)],[])).
% 14.38/10.51 tff(22710,plain,
% 14.38/10.51 (((~![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))))))),
% 14.38/10.51 inference(monotonicity,[status(thm)],[22709])).
% 14.38/10.51 tff(22711,plain,
% 14.38/10.51 (((~![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))))))),
% 14.38/10.51 inference(transitivity,[status(thm)],[22710, 22708])).
% 14.38/10.51 tff(22712,plain,
% 14.38/10.51 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))),
% 14.38/10.51 inference(quant_inst,[status(thm)],[])).
% 14.38/10.51 tff(22713,plain,
% 14.38/10.51 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.51 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 14.38/10.51 tff(22714,plain,
% 14.38/10.51 (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22713, 2651])).
% 14.38/10.51 tff(22715,plain,
% 14.38/10.51 (((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex1))),
% 14.38/10.51 inference(tautology,[status(thm)],[])).
% 14.38/10.51 tff(22716,plain,
% 14.38/10.51 ((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22715, 22641])).
% 14.38/10.51 tff(22717,plain,
% 14.38/10.51 ((~(v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) | (~v124(constB145)) | (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 14.38/10.51 inference(tautology,[status(thm)],[])).
% 14.38/10.51 tff(22718,plain,
% 14.38/10.51 (~v124(constB145)),
% 14.38/10.51 inference(unit_resolution,[status(thm)],[22717, 22716, 22714])).
% 14.38/10.52 tff(22719,plain,
% 14.38/10.52 (((~![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)))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22720,plain,
% 14.38/10.52 ((v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2))))) <=> (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22721,plain,
% 14.38/10.52 (((~![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)))))),
% 14.38/10.52 inference(monotonicity,[status(thm)],[22720])).
% 14.38/10.52 tff(22722,plain,
% 14.38/10.52 (((~![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)))))),
% 14.38/10.52 inference(transitivity,[status(thm)],[22721, 22719])).
% 14.38/10.52 tff(22723,plain,
% 14.38/10.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))),
% 14.38/10.52 inference(quant_inst,[status(thm)],[])).
% 14.38/10.52 tff(22724,plain,
% 14.38/10.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))),
% 14.38/10.52 inference(modus_ponens,[status(thm)],[22723, 22722])).
% 14.38/10.52 tff(22725,plain,
% 14.38/10.52 (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22724, 787])).
% 14.38/10.52 tff(22726,plain,
% 14.38/10.52 (((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))),
% 14.38/10.52 inference(tautology,[status(thm)],[])).
% 14.38/10.52 tff(22727,plain,
% 14.38/10.52 ((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22726, 22641])).
% 14.38/10.52 tff(22728,plain,
% 14.38/10.52 ((~(v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))) | (~v123(constB145)) | (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))),
% 14.38/10.52 inference(tautology,[status(thm)],[])).
% 14.38/10.52 tff(22729,plain,
% 14.38/10.52 (~v123(constB145)),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22728, 22727, 22725])).
% 14.38/10.52 tff(22730,plain,
% 14.38/10.52 (((~![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))))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22731,plain,
% 14.38/10.52 ((v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))))) <=> (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22732,plain,
% 14.38/10.52 (((~![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))))))),
% 14.38/10.52 inference(monotonicity,[status(thm)],[22731])).
% 14.38/10.52 tff(22733,plain,
% 14.38/10.52 (((~![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))))))),
% 14.38/10.52 inference(transitivity,[status(thm)],[22732, 22730])).
% 14.38/10.52 tff(22734,plain,
% 14.38/10.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))),
% 14.38/10.52 inference(quant_inst,[status(thm)],[])).
% 14.38/10.52 tff(22735,plain,
% 14.38/10.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.52 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 14.38/10.52 tff(22736,plain,
% 14.38/10.52 (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22735, 900])).
% 14.38/10.52 tff(22737,plain,
% 14.38/10.52 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 14.38/10.52 inference(tautology,[status(thm)],[])).
% 14.38/10.52 tff(22738,plain,
% 14.38/10.52 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22737, 22579])).
% 14.38/10.52 tff(22739,plain,
% 14.38/10.52 ((~(v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) | (~v122(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 14.38/10.52 inference(tautology,[status(thm)],[])).
% 14.38/10.52 tff(22740,plain,
% 14.38/10.52 (~v122(constB145)),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22739, 22738, 22736])).
% 14.38/10.52 tff(22741,plain,
% 14.38/10.52 (((~![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)))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22742,plain,
% 14.38/10.52 ((v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1))))) <=> (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22743,plain,
% 14.38/10.52 (((~![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)))))),
% 14.38/10.52 inference(monotonicity,[status(thm)],[22742])).
% 14.38/10.52 tff(22744,plain,
% 14.38/10.52 (((~![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)))))),
% 14.38/10.52 inference(transitivity,[status(thm)],[22743, 22741])).
% 14.38/10.52 tff(22745,plain,
% 14.38/10.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))),
% 14.38/10.52 inference(quant_inst,[status(thm)],[])).
% 14.38/10.52 tff(22746,plain,
% 14.38/10.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 14.38/10.52 inference(modus_ponens,[status(thm)],[22745, 22744])).
% 14.38/10.52 tff(22747,plain,
% 14.38/10.52 (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22746, 1015])).
% 14.38/10.52 tff(22748,plain,
% 14.38/10.52 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))),
% 14.38/10.52 inference(tautology,[status(thm)],[])).
% 14.38/10.52 tff(22749,plain,
% 14.38/10.52 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22748, 22579])).
% 14.38/10.52 tff(22750,plain,
% 14.38/10.52 ((~(v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) | (~v121(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 14.38/10.52 inference(tautology,[status(thm)],[])).
% 14.38/10.52 tff(22751,plain,
% 14.38/10.52 (~v121(constB145)),
% 14.38/10.52 inference(unit_resolution,[status(thm)],[22750, 22749, 22747])).
% 14.38/10.52 tff(22752,plain,
% 14.38/10.52 (((~![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))))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22753,plain,
% 14.38/10.52 ((v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))) <=> (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.52 inference(rewrite,[status(thm)],[])).
% 14.38/10.52 tff(22754,plain,
% 14.38/10.52 (((~![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))))))),
% 14.38/10.52 inference(monotonicity,[status(thm)],[22753])).
% 14.38/10.52 tff(22755,plain,
% 14.38/10.52 (((~![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))))))),
% 14.38/10.53 inference(transitivity,[status(thm)],[22754, 22752])).
% 14.38/10.53 tff(22756,plain,
% 14.38/10.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.53 inference(quant_inst,[status(thm)],[])).
% 14.38/10.53 tff(22757,plain,
% 14.38/10.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 14.38/10.53 inference(modus_ponens,[status(thm)],[22756, 22755])).
% 14.38/10.53 tff(22758,plain,
% 14.38/10.53 (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22757, 1132])).
% 14.38/10.53 tff(22759,plain,
% 14.38/10.53 ((v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 14.38/10.53 inference(tautology,[status(thm)],[])).
% 14.38/10.53 tff(22760,plain,
% 14.38/10.53 (v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22759, 22579])).
% 14.38/10.53 tff(22761,plain,
% 14.38/10.53 ((~(v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) | (~v120(constB145)) | (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 14.38/10.53 inference(tautology,[status(thm)],[])).
% 14.38/10.53 tff(22762,plain,
% 14.38/10.53 (~v120(constB145)),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22761, 22760, 22758])).
% 14.38/10.53 tff(22763,plain,
% 14.38/10.53 (((~![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))))),
% 14.38/10.53 inference(rewrite,[status(thm)],[])).
% 14.38/10.53 tff(22764,plain,
% 14.38/10.53 ((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))))),
% 14.38/10.53 inference(rewrite,[status(thm)],[])).
% 14.38/10.53 tff(22765,plain,
% 14.38/10.53 (((~![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)))))),
% 14.38/10.53 inference(monotonicity,[status(thm)],[22764])).
% 14.38/10.53 tff(22766,plain,
% 14.38/10.53 (((~![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))))),
% 14.38/10.53 inference(transitivity,[status(thm)],[22765, 22763])).
% 14.38/10.53 tff(22767,plain,
% 14.38/10.53 ((~![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))))),
% 14.38/10.53 inference(quant_inst,[status(thm)],[])).
% 14.38/10.53 tff(22768,plain,
% 14.38/10.53 ((~![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)))),
% 14.38/10.53 inference(modus_ponens,[status(thm)],[22767, 22766])).
% 14.38/10.53 tff(22769,plain,
% 14.38/10.53 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22768, 8006])).
% 14.38/10.53 tff(22770,plain,
% 14.38/10.53 (![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22769, 22762, 22751, 22740, 22729, 22718, 22707])).
% 14.38/10.53 tff(22771,plain,
% 14.38/10.53 (((~![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)))),
% 14.38/10.53 inference(rewrite,[status(thm)],[])).
% 14.38/10.53 tff(22772,plain,
% 14.38/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 14.38/10.53 inference(quant_inst,[status(thm)],[])).
% 14.38/10.53 tff(22773,plain,
% 14.38/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2))),
% 14.38/10.53 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 14.38/10.53 tff(22774,plain,
% 14.38/10.53 (v130(constB145, bitIndex2) <=> b001(bitIndex2)),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22773, 579, 22770])).
% 14.38/10.53 tff(22775,plain,
% 14.38/10.53 ((~(v130(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB145, bitIndex2)) | b001(bitIndex2)),
% 14.38/10.53 inference(tautology,[status(thm)],[])).
% 14.38/10.53 tff(22776,plain,
% 14.38/10.53 ((~(v130(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB145, bitIndex2))),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22775, 1480])).
% 14.38/10.53 tff(22777,plain,
% 14.38/10.53 (~v130(constB145, bitIndex2)),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22776, 22774])).
% 14.38/10.53 tff(22778,plain,
% 14.38/10.53 ((~(v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2))) | (~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 14.38/10.53 inference(tautology,[status(thm)],[])).
% 14.38/10.53 tff(22779,plain,
% 14.38/10.53 (~v127(constB145, bitIndex2)),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22778, 22777, 22701])).
% 14.38/10.53 tff(22780,plain,
% 14.38/10.53 ((~(v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2))) | (~v129(constB146, bitIndex2)) | v127(constB145, bitIndex2)),
% 14.38/10.53 inference(tautology,[status(thm)],[])).
% 14.38/10.53 tff(22781,plain,
% 14.38/10.53 (~v129(constB146, bitIndex2)),
% 14.38/10.53 inference(unit_resolution,[status(thm)],[22780, 22779, 22693])).
% 14.38/10.53 tff(22782,plain,
% 14.38/10.53 ((~(v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22783,plain,
% 14.48/10.53 (~v90(constB146, bitIndex2)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22782, 22781, 22685])).
% 14.48/10.53 tff(22784,plain,
% 14.48/10.53 ((~(v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2))) | (~v90(constB147, bitIndex2)) | v90(constB146, bitIndex2)),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22785,plain,
% 14.48/10.53 (~v90(constB147, bitIndex2)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22784, 22783, 20094])).
% 14.48/10.53 tff(22786,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.53 inference(rewrite,[status(thm)],[])).
% 14.48/10.53 tff(22787,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))),
% 14.48/10.53 inference(quant_inst,[status(thm)],[])).
% 14.48/10.53 tff(22788,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0))),
% 14.48/10.53 inference(modus_ponens,[status(thm)],[22787, 22786])).
% 14.48/10.53 tff(22789,plain,
% 14.48/10.53 (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22788, 1275, 20090])).
% 14.48/10.53 tff(22790,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.53 inference(rewrite,[status(thm)],[])).
% 14.48/10.53 tff(22791,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))),
% 14.48/10.53 inference(quant_inst,[status(thm)],[])).
% 14.48/10.53 tff(22792,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0))),
% 14.48/10.53 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 14.48/10.53 tff(22793,plain,
% 14.48/10.53 (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22792, 1275, 22681])).
% 14.48/10.53 tff(22794,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.53 inference(rewrite,[status(thm)],[])).
% 14.48/10.53 tff(22795,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))),
% 14.48/10.53 inference(quant_inst,[status(thm)],[])).
% 14.48/10.53 tff(22796,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0))),
% 14.48/10.53 inference(modus_ponens,[status(thm)],[22795, 22794])).
% 14.48/10.53 tff(22797,plain,
% 14.48/10.53 (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22796, 1275, 22689])).
% 14.48/10.53 tff(22798,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.53 inference(rewrite,[status(thm)],[])).
% 14.48/10.53 tff(22799,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))),
% 14.48/10.53 inference(quant_inst,[status(thm)],[])).
% 14.48/10.53 tff(22800,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0))),
% 14.48/10.53 inference(modus_ponens,[status(thm)],[22799, 22798])).
% 14.48/10.53 tff(22801,plain,
% 14.48/10.53 (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22800, 1275, 22697])).
% 14.48/10.53 tff(22802,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.53 inference(rewrite,[status(thm)],[])).
% 14.48/10.53 tff(22803,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 14.48/10.53 inference(quant_inst,[status(thm)],[])).
% 14.48/10.53 tff(22804,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0))),
% 14.48/10.53 inference(modus_ponens,[status(thm)],[22803, 22802])).
% 14.48/10.53 tff(22805,plain,
% 14.48/10.53 (v130(constB145, bitIndex0) <=> b001(bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22804, 1275, 22770])).
% 14.48/10.53 tff(22806,plain,
% 14.48/10.53 ((~(v130(constB145, bitIndex0) <=> b001(bitIndex0))) | v130(constB145, bitIndex0) | (~b001(bitIndex0))),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22807,plain,
% 14.48/10.53 ((~(v130(constB145, bitIndex0) <=> b001(bitIndex0))) | v130(constB145, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22806, 1514])).
% 14.48/10.53 tff(22808,plain,
% 14.48/10.53 (v130(constB145, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22807, 22805])).
% 14.48/10.53 tff(22809,plain,
% 14.48/10.53 ((~(v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0))) | v127(constB145, bitIndex0) | (~v130(constB145, bitIndex0))),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22810,plain,
% 14.48/10.53 (v127(constB145, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22809, 22808, 22801])).
% 14.48/10.53 tff(22811,plain,
% 14.48/10.53 ((~(v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0))) | v129(constB146, bitIndex0) | (~v127(constB145, bitIndex0))),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22812,plain,
% 14.48/10.53 (v129(constB146, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22811, 22810, 22797])).
% 14.48/10.53 tff(22813,plain,
% 14.48/10.53 ((~(v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0))),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22814,plain,
% 14.48/10.53 (v90(constB146, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22813, 22812, 22793])).
% 14.48/10.53 tff(22815,plain,
% 14.48/10.53 ((~(v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0))) | v90(constB147, bitIndex0) | (~v90(constB146, bitIndex0))),
% 14.48/10.53 inference(tautology,[status(thm)],[])).
% 14.48/10.53 tff(22816,plain,
% 14.48/10.53 (v90(constB147, bitIndex0)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22815, 22814, 22789])).
% 14.48/10.53 tff(22817,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.53 inference(rewrite,[status(thm)],[])).
% 14.48/10.53 tff(22818,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))),
% 14.48/10.53 inference(quant_inst,[status(thm)],[])).
% 14.48/10.53 tff(22819,plain,
% 14.48/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1))),
% 14.48/10.53 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 14.48/10.53 tff(22820,plain,
% 14.48/10.53 (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)),
% 14.48/10.53 inference(unit_resolution,[status(thm)],[22819, 1288, 20090])).
% 14.48/10.53 tff(22821,plain,
% 14.48/10.53 (((~![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)))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.54 tff(22822,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22823,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1))),
% 14.48/10.54 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 14.48/10.54 tff(22824,plain,
% 14.48/10.54 (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22823, 1288, 22681])).
% 14.48/10.54 tff(22825,plain,
% 14.48/10.54 (((~![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)))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.54 tff(22826,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22827,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1))),
% 14.48/10.54 inference(modus_ponens,[status(thm)],[22826, 22825])).
% 14.48/10.54 tff(22828,plain,
% 14.48/10.54 (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22827, 1288, 22689])).
% 14.48/10.54 tff(22829,plain,
% 14.48/10.54 (((~![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)))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.54 tff(22830,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22831,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1))),
% 14.48/10.54 inference(modus_ponens,[status(thm)],[22830, 22829])).
% 14.48/10.54 tff(22832,plain,
% 14.48/10.54 (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22831, 1288, 22697])).
% 14.48/10.54 tff(22833,plain,
% 14.48/10.54 (((~![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)))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.54 tff(22834,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22835,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1))),
% 14.48/10.54 inference(modus_ponens,[status(thm)],[22834, 22833])).
% 14.48/10.54 tff(22836,plain,
% 14.48/10.54 (v130(constB145, bitIndex1) <=> b001(bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22835, 1288, 22770])).
% 14.48/10.54 tff(22837,plain,
% 14.48/10.54 ((~(v130(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB145, bitIndex1)) | b001(bitIndex1)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22838,plain,
% 14.48/10.54 ((~(v130(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB145, bitIndex1))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22837, 1548])).
% 14.48/10.54 tff(22839,plain,
% 14.48/10.54 (~v130(constB145, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22838, 22836])).
% 14.48/10.54 tff(22840,plain,
% 14.48/10.54 ((~(v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1))) | (~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22841,plain,
% 14.48/10.54 (~v127(constB145, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22840, 22839, 22832])).
% 14.48/10.54 tff(22842,plain,
% 14.48/10.54 ((~(v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1))) | (~v129(constB146, bitIndex1)) | v127(constB145, bitIndex1)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22843,plain,
% 14.48/10.54 (~v129(constB146, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22842, 22841, 22828])).
% 14.48/10.54 tff(22844,plain,
% 14.48/10.54 ((~(v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22845,plain,
% 14.48/10.54 (~v90(constB146, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22844, 22843, 22824])).
% 14.48/10.54 tff(22846,plain,
% 14.48/10.54 ((~(v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1))) | (~v90(constB147, bitIndex1)) | v90(constB146, bitIndex1)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22847,plain,
% 14.48/10.54 (~v90(constB147, bitIndex1)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22846, 22845, 22820])).
% 14.48/10.54 tff(22848,plain,
% 14.48/10.54 ((~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))) | v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22849,plain,
% 14.48/10.54 (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22848, 22847, 22816, 22785])).
% 14.48/10.54 tff(22850,plain,
% 14.48/10.54 ((~(v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))) | v120(constB147) | (v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22851,plain,
% 14.48/10.54 (v120(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22850, 22849, 20062])).
% 14.48/10.54 tff(22852,plain,
% 14.48/10.54 ((v119(constB147) | v120(constB147)) | (~v120(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22853,plain,
% 14.48/10.54 (v119(constB147) | v120(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22852, 22851])).
% 14.48/10.54 tff(22854,plain,
% 14.48/10.54 ((~(v118(constB147) <=> (v119(constB147) | v120(constB147)))) | v118(constB147) | (~(v119(constB147) | v120(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22855,plain,
% 14.48/10.54 (v118(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22854, 22853, 20055])).
% 14.48/10.54 tff(22856,plain,
% 14.48/10.54 ((v118(constB147) | v121(constB147)) | (~v118(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22857,plain,
% 14.48/10.54 (v118(constB147) | v121(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22856, 22855])).
% 14.48/10.54 tff(22858,plain,
% 14.48/10.54 ((~(v117(constB147) <=> (v118(constB147) | v121(constB147)))) | v117(constB147) | (~(v118(constB147) | v121(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22859,plain,
% 14.48/10.54 (v117(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22858, 22857, 20053])).
% 14.48/10.54 tff(22860,plain,
% 14.48/10.54 ((v117(constB147) | v122(constB147)) | (~v117(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22861,plain,
% 14.48/10.54 (v117(constB147) | v122(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22860, 22859])).
% 14.48/10.54 tff(22862,plain,
% 14.48/10.54 ((~(v116(constB147) <=> (v117(constB147) | v122(constB147)))) | v116(constB147) | (~(v117(constB147) | v122(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22863,plain,
% 14.48/10.54 (v116(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22862, 22861, 20051])).
% 14.48/10.54 tff(22864,plain,
% 14.48/10.54 ((v116(constB147) | v123(constB147)) | (~v116(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22865,plain,
% 14.48/10.54 (v116(constB147) | v123(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22864, 22863])).
% 14.48/10.54 tff(22866,plain,
% 14.48/10.54 ((~(v115(constB147) <=> (v116(constB147) | v123(constB147)))) | v115(constB147) | (~(v116(constB147) | v123(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22867,plain,
% 14.48/10.54 (v115(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22866, 22865, 20049])).
% 14.48/10.54 tff(22868,plain,
% 14.48/10.54 ((v115(constB147) | v124(constB147)) | (~v115(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22869,plain,
% 14.48/10.54 (v115(constB147) | v124(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22868, 22867])).
% 14.48/10.54 tff(22870,plain,
% 14.48/10.54 ((~(v114(constB147) <=> (v115(constB147) | v124(constB147)))) | v114(constB147) | (~(v115(constB147) | v124(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22871,plain,
% 14.48/10.54 (v114(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22870, 22869, 20047])).
% 14.48/10.54 tff(22872,plain,
% 14.48/10.54 ((v114(constB147) | v125(constB147)) | (~v114(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22873,plain,
% 14.48/10.54 (v114(constB147) | v125(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22872, 22871])).
% 14.48/10.54 tff(22874,plain,
% 14.48/10.54 ((~(v113(constB147) <=> (v114(constB147) | v125(constB147)))) | v113(constB147) | (~(v114(constB147) | v125(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22875,plain,
% 14.48/10.54 (v113(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22874, 22873, 20045])).
% 14.48/10.54 tff(22876,plain,
% 14.48/10.54 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB147)) <=> v111(constB147))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22877,plain,
% 14.48/10.54 ((~v126(constB147)) <=> v111(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22876, 1345])).
% 14.48/10.54 tff(22878,plain,
% 14.48/10.54 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB147) <=> v26(constB147))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22879,plain,
% 14.48/10.54 (v111(constB147) <=> v26(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22878, 1357])).
% 14.48/10.54 tff(22880,plain,
% 14.48/10.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22881,plain,
% 14.48/10.54 (~v26(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22880, 1369])).
% 14.48/10.54 tff(22882,plain,
% 14.48/10.54 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147)) | v26(constB147)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22883,plain,
% 14.48/10.54 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22882, 22881])).
% 14.48/10.54 tff(22884,plain,
% 14.48/10.54 (~v111(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22883, 22879])).
% 14.48/10.54 tff(22885,plain,
% 14.48/10.54 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147) | v111(constB147)),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22886,plain,
% 14.48/10.54 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22885, 22884])).
% 14.48/10.54 tff(22887,plain,
% 14.48/10.54 (v126(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22886, 22877])).
% 14.48/10.54 tff(22888,plain,
% 14.48/10.54 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147)) | (~v126(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22889,plain,
% 14.48/10.54 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22888, 22887])).
% 14.48/10.54 tff(22890,plain,
% 14.48/10.54 (~((~v113(constB147)) | (~v126(constB147)))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22889, 22875])).
% 14.48/10.54 tff(22891,plain,
% 14.48/10.54 ((~(v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))) | v112(constB147) | ((~v113(constB147)) | (~v126(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22892,plain,
% 14.48/10.54 (v112(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22891, 22890, 20043])).
% 14.48/10.54 tff(22893,plain,
% 14.48/10.54 ((v111(constB147) | v112(constB147)) | (~v112(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22894,plain,
% 14.48/10.54 (v111(constB147) | v112(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22893, 22892])).
% 14.48/10.54 tff(22895,plain,
% 14.48/10.54 ((~(v108(constB147) <=> (v111(constB147) | v112(constB147)))) | v108(constB147) | (~(v111(constB147) | v112(constB147)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22896,plain,
% 14.48/10.54 (v108(constB147)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22895, 22894, 20041])).
% 14.48/10.54 tff(22897,plain,
% 14.48/10.54 ((~(v110(constB148) <=> v108(constB147))) | v110(constB148) | (~v108(constB147))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22898,plain,
% 14.48/10.54 (v110(constB148)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22897, 22896, 20039])).
% 14.48/10.54 tff(22899,plain,
% 14.48/10.54 ((~((~v101(constB148)) | (~v110(constB148)))) | (~v101(constB148)) | (~v110(constB148))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22900,plain,
% 14.48/10.54 (~((~v101(constB148)) | (~v110(constB148)))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22899, 22898, 20035])).
% 14.48/10.54 tff(22901,plain,
% 14.48/10.54 ((~(v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))) | v100(constB148) | ((~v101(constB148)) | (~v110(constB148)))),
% 14.48/10.54 inference(tautology,[status(thm)],[])).
% 14.48/10.54 tff(22902,plain,
% 14.48/10.54 (v100(constB148)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22901, 22900, 20004])).
% 14.48/10.54 tff(22903,plain,
% 14.48/10.54 (((~![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))))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.54 tff(22904,plain,
% 14.48/10.54 ((~![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))))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22905,plain,
% 14.48/10.54 ((~![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)))),
% 14.48/10.54 inference(modus_ponens,[status(thm)],[22904, 22903])).
% 14.48/10.54 tff(22906,plain,
% 14.48/10.54 ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22905, 1405])).
% 14.48/10.54 tff(22907,plain,
% 14.48/10.54 (![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22906, 22902])).
% 14.48/10.54 tff(22908,plain,
% 14.48/10.54 (((~![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)))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.54 tff(22909,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))),
% 14.48/10.54 inference(quant_inst,[status(thm)],[])).
% 14.48/10.54 tff(22910,plain,
% 14.48/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2))),
% 14.48/10.54 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 14.48/10.54 tff(22911,plain,
% 14.48/10.54 (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)),
% 14.48/10.54 inference(unit_resolution,[status(thm)],[22910, 579, 22907])).
% 14.48/10.54 tff(22912,plain,
% 14.48/10.54 (((~![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))))),
% 14.48/10.54 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22913,plain,
% 14.48/10.55 ((~![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))))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22914,plain,
% 14.48/10.55 ((~![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)))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 14.48/10.55 tff(22915,plain,
% 14.48/10.55 (![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22914, 20000, 1427])).
% 14.48/10.55 tff(22916,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22917,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22918,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22917, 22916])).
% 14.48/10.55 tff(22919,plain,
% 14.48/10.55 (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22918, 579, 22915])).
% 14.48/10.55 tff(22920,plain,
% 14.48/10.55 (((~![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))))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22921,plain,
% 14.48/10.55 ((~![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))))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22922,plain,
% 14.48/10.55 ((~![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)))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22921, 22920])).
% 14.48/10.55 tff(22923,plain,
% 14.48/10.55 (![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22922, 1448, 22884])).
% 14.48/10.55 tff(22924,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22925,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22926,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22925, 22924])).
% 14.48/10.55 tff(22927,plain,
% 14.48/10.55 (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22926, 579, 22923])).
% 14.48/10.55 tff(22928,plain,
% 14.48/10.55 (((~![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))))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22929,plain,
% 14.48/10.55 ((~![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))))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22930,plain,
% 14.48/10.55 ((~![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)))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22929, 22928])).
% 14.48/10.55 tff(22931,plain,
% 14.48/10.55 ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22930, 1652])).
% 14.48/10.55 tff(22932,plain,
% 14.48/10.55 (![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22931, 22851])).
% 14.48/10.55 tff(22933,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22934,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22935,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22934, 22933])).
% 14.48/10.55 tff(22936,plain,
% 14.48/10.55 (v130(constB147, bitIndex2) <=> b010(bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22935, 579, 22932])).
% 14.48/10.55 tff(22937,plain,
% 14.48/10.55 ((~(v130(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB147, bitIndex2)) | b010(bitIndex2)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22938,plain,
% 14.48/10.55 ((~(v130(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB147, bitIndex2))),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22937, 1664])).
% 14.48/10.55 tff(22939,plain,
% 14.48/10.55 (~v130(constB147, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22938, 22936])).
% 14.48/10.55 tff(22940,plain,
% 14.48/10.55 ((~(v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2))) | (~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22941,plain,
% 14.48/10.55 (~v127(constB147, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22940, 22939, 22927])).
% 14.48/10.55 tff(22942,plain,
% 14.48/10.55 ((~(v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2))) | (~v129(constB148, bitIndex2)) | v127(constB147, bitIndex2)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22943,plain,
% 14.48/10.55 (~v129(constB148, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22942, 22941, 22919])).
% 14.48/10.55 tff(22944,plain,
% 14.48/10.55 ((~(v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22945,plain,
% 14.48/10.55 (~v90(constB148, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22944, 22943, 22911])).
% 14.48/10.55 tff(22946,plain,
% 14.48/10.55 ((~(v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2))) | (~v90(constB149, bitIndex2)) | v90(constB148, bitIndex2)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22947,plain,
% 14.48/10.55 (~v90(constB149, bitIndex2)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22946, 22945, 19997])).
% 14.48/10.55 tff(22948,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22949,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22950,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22949, 22948])).
% 14.48/10.55 tff(22951,plain,
% 14.48/10.55 (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22950, 1275, 19993])).
% 14.48/10.55 tff(22952,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22953,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22954,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22953, 22952])).
% 14.48/10.55 tff(22955,plain,
% 14.48/10.55 (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22954, 1275, 22907])).
% 14.48/10.55 tff(22956,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22957,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22958,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22957, 22956])).
% 14.48/10.55 tff(22959,plain,
% 14.48/10.55 (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22958, 1275, 22915])).
% 14.48/10.55 tff(22960,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22961,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22962,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22961, 22960])).
% 14.48/10.55 tff(22963,plain,
% 14.48/10.55 (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22962, 1275, 22923])).
% 14.48/10.55 tff(22964,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22965,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22966,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22965, 22964])).
% 14.48/10.55 tff(22967,plain,
% 14.48/10.55 (v130(constB147, bitIndex0) <=> b010(bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22966, 1275, 22932])).
% 14.48/10.55 tff(22968,plain,
% 14.48/10.55 ((~(v130(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB147, bitIndex0)) | b010(bitIndex0)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22969,plain,
% 14.48/10.55 ((~(v130(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB147, bitIndex0))),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22968, 1698])).
% 14.48/10.55 tff(22970,plain,
% 14.48/10.55 (~v130(constB147, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22969, 22967])).
% 14.48/10.55 tff(22971,plain,
% 14.48/10.55 ((~(v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0))) | (~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22972,plain,
% 14.48/10.55 (~v127(constB147, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22971, 22970, 22963])).
% 14.48/10.55 tff(22973,plain,
% 14.48/10.55 ((~(v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0))) | (~v129(constB148, bitIndex0)) | v127(constB147, bitIndex0)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22974,plain,
% 14.48/10.55 (~v129(constB148, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22973, 22972, 22959])).
% 14.48/10.55 tff(22975,plain,
% 14.48/10.55 ((~(v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22976,plain,
% 14.48/10.55 (~v90(constB148, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22975, 22974, 22955])).
% 14.48/10.55 tff(22977,plain,
% 14.48/10.55 ((~(v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0))) | (~v90(constB149, bitIndex0)) | v90(constB148, bitIndex0)),
% 14.48/10.55 inference(tautology,[status(thm)],[])).
% 14.48/10.55 tff(22978,plain,
% 14.48/10.55 (~v90(constB149, bitIndex0)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22977, 22976, 22951])).
% 14.48/10.55 tff(22979,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22980,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22981,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1))),
% 14.48/10.55 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 14.48/10.55 tff(22982,plain,
% 14.48/10.55 (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)),
% 14.48/10.55 inference(unit_resolution,[status(thm)],[22981, 1288, 19993])).
% 14.48/10.55 tff(22983,plain,
% 14.48/10.55 (((~![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)))),
% 14.48/10.55 inference(rewrite,[status(thm)],[])).
% 14.48/10.55 tff(22984,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))),
% 14.48/10.55 inference(quant_inst,[status(thm)],[])).
% 14.48/10.55 tff(22985,plain,
% 14.48/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 14.48/10.56 tff(22986,plain,
% 14.48/10.56 (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[22985, 1288, 22907])).
% 14.48/10.56 tff(22987,plain,
% 14.48/10.56 (((~![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)))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(22988,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(22989,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 14.48/10.56 tff(22990,plain,
% 14.48/10.56 (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[22989, 1288, 22915])).
% 14.48/10.56 tff(22991,plain,
% 14.48/10.56 (((~![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)))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(22992,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(22993,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 14.48/10.56 tff(22994,plain,
% 14.48/10.56 (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[22993, 1288, 22923])).
% 14.48/10.56 tff(22995,plain,
% 14.48/10.56 (((~![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)))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(22996,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(22997,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 14.48/10.56 tff(22998,plain,
% 14.48/10.56 (v130(constB147, bitIndex1) <=> b010(bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[22997, 1288, 22932])).
% 14.48/10.56 tff(22999,plain,
% 14.48/10.56 ((~(v130(constB147, bitIndex1) <=> b010(bitIndex1))) | v130(constB147, bitIndex1) | (~b010(bitIndex1))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23000,plain,
% 14.48/10.56 ((~(v130(constB147, bitIndex1) <=> b010(bitIndex1))) | v130(constB147, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[22999, 1732])).
% 14.48/10.56 tff(23001,plain,
% 14.48/10.56 (v130(constB147, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23000, 22998])).
% 14.48/10.56 tff(23002,plain,
% 14.48/10.56 ((~(v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1))) | v127(constB147, bitIndex1) | (~v130(constB147, bitIndex1))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23003,plain,
% 14.48/10.56 (v127(constB147, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23002, 23001, 22994])).
% 14.48/10.56 tff(23004,plain,
% 14.48/10.56 ((~(v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1))) | v129(constB148, bitIndex1) | (~v127(constB147, bitIndex1))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23005,plain,
% 14.48/10.56 (v129(constB148, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23004, 23003, 22990])).
% 14.48/10.56 tff(23006,plain,
% 14.48/10.56 ((~(v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23007,plain,
% 14.48/10.56 (v90(constB148, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23006, 23005, 22986])).
% 14.48/10.56 tff(23008,plain,
% 14.48/10.56 ((~(v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1))) | v90(constB149, bitIndex1) | (~v90(constB148, bitIndex1))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23009,plain,
% 14.48/10.56 (v90(constB149, bitIndex1)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23008, 23007, 22982])).
% 14.48/10.56 tff(23010,plain,
% 14.48/10.56 ((~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23011,plain,
% 14.48/10.56 (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23010, 23009, 22978, 22947])).
% 14.48/10.56 tff(23012,plain,
% 14.48/10.56 ((~(v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))) | v121(constB149) | (v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23013,plain,
% 14.48/10.56 (v121(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23012, 23011, 19965])).
% 14.48/10.56 tff(23014,plain,
% 14.48/10.56 ((v118(constB149) | v121(constB149)) | (~v121(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23015,plain,
% 14.48/10.56 (v118(constB149) | v121(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23014, 23013])).
% 14.48/10.56 tff(23016,plain,
% 14.48/10.56 ((~(v117(constB149) <=> (v118(constB149) | v121(constB149)))) | v117(constB149) | (~(v118(constB149) | v121(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23017,plain,
% 14.48/10.56 (v117(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23016, 23015, 19958])).
% 14.48/10.56 tff(23018,plain,
% 14.48/10.56 ((v117(constB149) | v122(constB149)) | (~v117(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23019,plain,
% 14.48/10.56 (v117(constB149) | v122(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23018, 23017])).
% 14.48/10.56 tff(23020,plain,
% 14.48/10.56 ((~(v116(constB149) <=> (v117(constB149) | v122(constB149)))) | v116(constB149) | (~(v117(constB149) | v122(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23021,plain,
% 14.48/10.56 (v116(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23020, 23019, 19956])).
% 14.48/10.56 tff(23022,plain,
% 14.48/10.56 ((v116(constB149) | v123(constB149)) | (~v116(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23023,plain,
% 14.48/10.56 (v116(constB149) | v123(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23022, 23021])).
% 14.48/10.56 tff(23024,plain,
% 14.48/10.56 ((~(v115(constB149) <=> (v116(constB149) | v123(constB149)))) | v115(constB149) | (~(v116(constB149) | v123(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23025,plain,
% 14.48/10.56 (v115(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23024, 23023, 19954])).
% 14.48/10.56 tff(23026,plain,
% 14.48/10.56 ((v115(constB149) | v124(constB149)) | (~v115(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23027,plain,
% 14.48/10.56 (v115(constB149) | v124(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23026, 23025])).
% 14.48/10.56 tff(23028,plain,
% 14.48/10.56 ((~(v114(constB149) <=> (v115(constB149) | v124(constB149)))) | v114(constB149) | (~(v115(constB149) | v124(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23029,plain,
% 14.48/10.56 (v114(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23028, 23027, 19952])).
% 14.48/10.56 tff(23030,plain,
% 14.48/10.56 ((v114(constB149) | v125(constB149)) | (~v114(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23031,plain,
% 14.48/10.56 (v114(constB149) | v125(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23030, 23029])).
% 14.48/10.56 tff(23032,plain,
% 14.48/10.56 ((~(v113(constB149) <=> (v114(constB149) | v125(constB149)))) | v113(constB149) | (~(v114(constB149) | v125(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23033,plain,
% 14.48/10.56 (v113(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23032, 23031, 19950])).
% 14.48/10.56 tff(23034,plain,
% 14.48/10.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB149)) <=> v111(constB149))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(23035,plain,
% 14.48/10.56 ((~v126(constB149)) <=> v111(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23034, 1345])).
% 14.48/10.56 tff(23036,plain,
% 14.48/10.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB149) <=> v26(constB149))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(23037,plain,
% 14.48/10.56 (v111(constB149) <=> v26(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23036, 1357])).
% 14.48/10.56 tff(23038,plain,
% 14.48/10.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(23039,plain,
% 14.48/10.56 (~v26(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23038, 1369])).
% 14.48/10.56 tff(23040,plain,
% 14.48/10.56 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149)) | v26(constB149)),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23041,plain,
% 14.48/10.56 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23040, 23039])).
% 14.48/10.56 tff(23042,plain,
% 14.48/10.56 (~v111(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23041, 23037])).
% 14.48/10.56 tff(23043,plain,
% 14.48/10.56 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149) | v111(constB149)),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23044,plain,
% 14.48/10.56 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23043, 23042])).
% 14.48/10.56 tff(23045,plain,
% 14.48/10.56 (v126(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23044, 23035])).
% 14.48/10.56 tff(23046,plain,
% 14.48/10.56 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149)) | (~v126(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23047,plain,
% 14.48/10.56 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23046, 23045])).
% 14.48/10.56 tff(23048,plain,
% 14.48/10.56 (~((~v113(constB149)) | (~v126(constB149)))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23047, 23033])).
% 14.48/10.56 tff(23049,plain,
% 14.48/10.56 ((~(v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))) | v112(constB149) | ((~v113(constB149)) | (~v126(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23050,plain,
% 14.48/10.56 (v112(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23049, 23048, 19948])).
% 14.48/10.56 tff(23051,plain,
% 14.48/10.56 ((v111(constB149) | v112(constB149)) | (~v112(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23052,plain,
% 14.48/10.56 (v111(constB149) | v112(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23051, 23050])).
% 14.48/10.56 tff(23053,plain,
% 14.48/10.56 ((~(v108(constB149) <=> (v111(constB149) | v112(constB149)))) | v108(constB149) | (~(v111(constB149) | v112(constB149)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23054,plain,
% 14.48/10.56 (v108(constB149)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23053, 23052, 19946])).
% 14.48/10.56 tff(23055,plain,
% 14.48/10.56 ((~(v110(constB150) <=> v108(constB149))) | v110(constB150) | (~v108(constB149))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23056,plain,
% 14.48/10.56 (v110(constB150)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23055, 23054, 19944])).
% 14.48/10.56 tff(23057,plain,
% 14.48/10.56 ((~((~v101(constB150)) | (~v110(constB150)))) | (~v101(constB150)) | (~v110(constB150))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23058,plain,
% 14.48/10.56 (~((~v101(constB150)) | (~v110(constB150)))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23057, 23056, 19940])).
% 14.48/10.56 tff(23059,plain,
% 14.48/10.56 ((~(v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))) | v100(constB150) | ((~v101(constB150)) | (~v110(constB150)))),
% 14.48/10.56 inference(tautology,[status(thm)],[])).
% 14.48/10.56 tff(23060,plain,
% 14.48/10.56 (v100(constB150)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23059, 23058, 19909])).
% 14.48/10.56 tff(23061,plain,
% 14.48/10.56 (((~![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))))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(23062,plain,
% 14.48/10.56 ((~![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))))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(23063,plain,
% 14.48/10.56 ((~![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)))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 14.48/10.56 tff(23064,plain,
% 14.48/10.56 ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23063, 1405])).
% 14.48/10.56 tff(23065,plain,
% 14.48/10.56 (![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23064, 23060])).
% 14.48/10.56 tff(23066,plain,
% 14.48/10.56 (((~![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)))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(23067,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(23068,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[23067, 23066])).
% 14.48/10.56 tff(23069,plain,
% 14.48/10.56 (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23068, 579, 23065])).
% 14.48/10.56 tff(23070,plain,
% 14.48/10.56 (((~![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))))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(23071,plain,
% 14.48/10.56 ((~![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))))),
% 14.48/10.56 inference(quant_inst,[status(thm)],[])).
% 14.48/10.56 tff(23072,plain,
% 14.48/10.56 ((~![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)))),
% 14.48/10.56 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 14.48/10.56 tff(23073,plain,
% 14.48/10.56 (![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))),
% 14.48/10.56 inference(unit_resolution,[status(thm)],[23072, 19905, 1427])).
% 14.48/10.56 tff(23074,plain,
% 14.48/10.56 (((~![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)))),
% 14.48/10.56 inference(rewrite,[status(thm)],[])).
% 14.48/10.56 tff(23075,plain,
% 14.48/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23076,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23075, 23074])).
% 14.48/10.57 tff(23077,plain,
% 14.48/10.57 (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23076, 579, 23073])).
% 14.48/10.57 tff(23078,plain,
% 14.48/10.57 (((~![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))))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23079,plain,
% 14.48/10.57 ((~![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))))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23080,plain,
% 14.48/10.57 ((~![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)))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23079, 23078])).
% 14.48/10.57 tff(23081,plain,
% 14.48/10.57 (![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23080, 1448, 23042])).
% 14.48/10.57 tff(23082,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23083,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23084,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 14.48/10.57 tff(23085,plain,
% 14.48/10.57 (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23084, 579, 23081])).
% 14.48/10.57 tff(23086,plain,
% 14.48/10.57 (((~![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))))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23087,plain,
% 14.48/10.57 ((~![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))))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23088,plain,
% 14.48/10.57 ((~![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)))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23087, 23086])).
% 14.48/10.57 tff(23089,plain,
% 14.48/10.57 ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23088, 1832])).
% 14.48/10.57 tff(23090,plain,
% 14.48/10.57 (![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23089, 23013])).
% 14.48/10.57 tff(23091,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23092,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23093,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23092, 23091])).
% 14.48/10.57 tff(23094,plain,
% 14.48/10.57 (v130(constB149, bitIndex2) <=> b011(bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23093, 579, 23090])).
% 14.48/10.57 tff(23095,plain,
% 14.48/10.57 ((~(v130(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB149, bitIndex2)) | b011(bitIndex2)),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.57 tff(23096,plain,
% 14.48/10.57 ((~(v130(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB149, bitIndex2))),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23095, 1844])).
% 14.48/10.57 tff(23097,plain,
% 14.48/10.57 (~v130(constB149, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23096, 23094])).
% 14.48/10.57 tff(23098,plain,
% 14.48/10.57 ((~(v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2))) | (~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.57 tff(23099,plain,
% 14.48/10.57 (~v127(constB149, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23098, 23097, 23085])).
% 14.48/10.57 tff(23100,plain,
% 14.48/10.57 ((~(v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2))) | (~v129(constB150, bitIndex2)) | v127(constB149, bitIndex2)),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.57 tff(23101,plain,
% 14.48/10.57 (~v129(constB150, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23100, 23099, 23077])).
% 14.48/10.57 tff(23102,plain,
% 14.48/10.57 ((~(v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.57 tff(23103,plain,
% 14.48/10.57 (~v90(constB150, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23102, 23101, 23069])).
% 14.48/10.57 tff(23104,plain,
% 14.48/10.57 ((~(v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2))) | (~v90(constB151, bitIndex2)) | v90(constB150, bitIndex2)),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.57 tff(23105,plain,
% 14.48/10.57 (~v90(constB151, bitIndex2)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23104, 23103, 19902])).
% 14.48/10.57 tff(23106,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23107,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23108,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23107, 23106])).
% 14.48/10.57 tff(23109,plain,
% 14.48/10.57 (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23108, 1275, 19898])).
% 14.48/10.57 tff(23110,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23111,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23112,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23111, 23110])).
% 14.48/10.57 tff(23113,plain,
% 14.48/10.57 (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23112, 1275, 23065])).
% 14.48/10.57 tff(23114,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23115,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23116,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23115, 23114])).
% 14.48/10.57 tff(23117,plain,
% 14.48/10.57 (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23116, 1275, 23073])).
% 14.48/10.57 tff(23118,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23119,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23120,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23119, 23118])).
% 14.48/10.57 tff(23121,plain,
% 14.48/10.57 (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23120, 1275, 23081])).
% 14.48/10.57 tff(23122,plain,
% 14.48/10.57 (((~![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)))),
% 14.48/10.57 inference(rewrite,[status(thm)],[])).
% 14.48/10.57 tff(23123,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 14.48/10.57 inference(quant_inst,[status(thm)],[])).
% 14.48/10.57 tff(23124,plain,
% 14.48/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0))),
% 14.48/10.57 inference(modus_ponens,[status(thm)],[23123, 23122])).
% 14.48/10.57 tff(23125,plain,
% 14.48/10.57 (v130(constB149, bitIndex0) <=> b011(bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23124, 1275, 23090])).
% 14.48/10.57 tff(23126,plain,
% 14.48/10.57 ((~(v130(constB149, bitIndex0) <=> b011(bitIndex0))) | v130(constB149, bitIndex0) | (~b011(bitIndex0))),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.57 tff(23127,plain,
% 14.48/10.57 ((~(v130(constB149, bitIndex0) <=> b011(bitIndex0))) | v130(constB149, bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23126, 1878])).
% 14.48/10.57 tff(23128,plain,
% 14.48/10.57 (v130(constB149, bitIndex0)),
% 14.48/10.57 inference(unit_resolution,[status(thm)],[23127, 23125])).
% 14.48/10.57 tff(23129,plain,
% 14.48/10.57 ((~(v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0))) | v127(constB149, bitIndex0) | (~v130(constB149, bitIndex0))),
% 14.48/10.57 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23130,plain,
% 14.48/10.58 (v127(constB149, bitIndex0)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23129, 23128, 23121])).
% 14.48/10.58 tff(23131,plain,
% 14.48/10.58 ((~(v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0))) | v129(constB150, bitIndex0) | (~v127(constB149, bitIndex0))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23132,plain,
% 14.48/10.58 (v129(constB150, bitIndex0)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23131, 23130, 23117])).
% 14.48/10.58 tff(23133,plain,
% 14.48/10.58 ((~(v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23134,plain,
% 14.48/10.58 (v90(constB150, bitIndex0)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23133, 23132, 23113])).
% 14.48/10.58 tff(23135,plain,
% 14.48/10.58 ((~(v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0))) | v90(constB151, bitIndex0) | (~v90(constB150, bitIndex0))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23136,plain,
% 14.48/10.58 (v90(constB151, bitIndex0)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23135, 23134, 23109])).
% 14.48/10.58 tff(23137,plain,
% 14.48/10.58 (((~![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)))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23138,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23139,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1))),
% 14.48/10.58 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 14.48/10.58 tff(23140,plain,
% 14.48/10.58 (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23139, 1288, 19898])).
% 14.48/10.58 tff(23141,plain,
% 14.48/10.58 (((~![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)))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23142,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23143,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1))),
% 14.48/10.58 inference(modus_ponens,[status(thm)],[23142, 23141])).
% 14.48/10.58 tff(23144,plain,
% 14.48/10.58 (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23143, 1288, 23065])).
% 14.48/10.58 tff(23145,plain,
% 14.48/10.58 (((~![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)))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23146,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23147,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1))),
% 14.48/10.58 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 14.48/10.58 tff(23148,plain,
% 14.48/10.58 (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23147, 1288, 23073])).
% 14.48/10.58 tff(23149,plain,
% 14.48/10.58 (((~![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)))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23150,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23151,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1))),
% 14.48/10.58 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 14.48/10.58 tff(23152,plain,
% 14.48/10.58 (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23151, 1288, 23081])).
% 14.48/10.58 tff(23153,plain,
% 14.48/10.58 (((~![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)))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23154,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23155,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1))),
% 14.48/10.58 inference(modus_ponens,[status(thm)],[23154, 23153])).
% 14.48/10.58 tff(23156,plain,
% 14.48/10.58 (v130(constB149, bitIndex1) <=> b011(bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23155, 1288, 23090])).
% 14.48/10.58 tff(23157,plain,
% 14.48/10.58 ((~(v130(constB149, bitIndex1) <=> b011(bitIndex1))) | v130(constB149, bitIndex1) | (~b011(bitIndex1))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23158,plain,
% 14.48/10.58 ((~(v130(constB149, bitIndex1) <=> b011(bitIndex1))) | v130(constB149, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23157, 1912])).
% 14.48/10.58 tff(23159,plain,
% 14.48/10.58 (v130(constB149, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23158, 23156])).
% 14.48/10.58 tff(23160,plain,
% 14.48/10.58 ((~(v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1))) | v127(constB149, bitIndex1) | (~v130(constB149, bitIndex1))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23161,plain,
% 14.48/10.58 (v127(constB149, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23160, 23159, 23152])).
% 14.48/10.58 tff(23162,plain,
% 14.48/10.58 ((~(v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1))) | v129(constB150, bitIndex1) | (~v127(constB149, bitIndex1))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23163,plain,
% 14.48/10.58 (v129(constB150, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23162, 23161, 23148])).
% 14.48/10.58 tff(23164,plain,
% 14.48/10.58 ((~(v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23165,plain,
% 14.48/10.58 (v90(constB150, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23164, 23163, 23144])).
% 14.48/10.58 tff(23166,plain,
% 14.48/10.58 ((~(v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1))) | v90(constB151, bitIndex1) | (~v90(constB150, bitIndex1))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23167,plain,
% 14.48/10.58 (v90(constB151, bitIndex1)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23166, 23165, 23140])).
% 14.48/10.58 tff(23168,plain,
% 14.48/10.58 ((~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))) | v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23169,plain,
% 14.48/10.58 (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23168, 23167, 23136, 23105])).
% 14.48/10.58 tff(23170,plain,
% 14.48/10.58 ((~(v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) | v122(constB151) | (v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23171,plain,
% 14.48/10.58 (v122(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23170, 23169, 19870])).
% 14.48/10.58 tff(23172,plain,
% 14.48/10.58 ((v117(constB151) | v122(constB151)) | (~v122(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23173,plain,
% 14.48/10.58 (v117(constB151) | v122(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23172, 23171])).
% 14.48/10.58 tff(23174,plain,
% 14.48/10.58 ((~(v116(constB151) <=> (v117(constB151) | v122(constB151)))) | v116(constB151) | (~(v117(constB151) | v122(constB151)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23175,plain,
% 14.48/10.58 (v116(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23174, 23173, 19863])).
% 14.48/10.58 tff(23176,plain,
% 14.48/10.58 ((v116(constB151) | v123(constB151)) | (~v116(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23177,plain,
% 14.48/10.58 (v116(constB151) | v123(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23176, 23175])).
% 14.48/10.58 tff(23178,plain,
% 14.48/10.58 ((~(v115(constB151) <=> (v116(constB151) | v123(constB151)))) | v115(constB151) | (~(v116(constB151) | v123(constB151)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23179,plain,
% 14.48/10.58 (v115(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23178, 23177, 19861])).
% 14.48/10.58 tff(23180,plain,
% 14.48/10.58 ((v115(constB151) | v124(constB151)) | (~v115(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23181,plain,
% 14.48/10.58 (v115(constB151) | v124(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23180, 23179])).
% 14.48/10.58 tff(23182,plain,
% 14.48/10.58 ((~(v114(constB151) <=> (v115(constB151) | v124(constB151)))) | v114(constB151) | (~(v115(constB151) | v124(constB151)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23183,plain,
% 14.48/10.58 (v114(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23182, 23181, 19859])).
% 14.48/10.58 tff(23184,plain,
% 14.48/10.58 ((v114(constB151) | v125(constB151)) | (~v114(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23185,plain,
% 14.48/10.58 (v114(constB151) | v125(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23184, 23183])).
% 14.48/10.58 tff(23186,plain,
% 14.48/10.58 ((~(v113(constB151) <=> (v114(constB151) | v125(constB151)))) | v113(constB151) | (~(v114(constB151) | v125(constB151)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23187,plain,
% 14.48/10.58 (v113(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23186, 23185, 19857])).
% 14.48/10.58 tff(23188,plain,
% 14.48/10.58 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB151)) <=> v111(constB151))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23189,plain,
% 14.48/10.58 ((~v126(constB151)) <=> v111(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23188, 1345])).
% 14.48/10.58 tff(23190,plain,
% 14.48/10.58 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB151) <=> v26(constB151))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23191,plain,
% 14.48/10.58 (v111(constB151) <=> v26(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23190, 1357])).
% 14.48/10.58 tff(23192,plain,
% 14.48/10.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23193,plain,
% 14.48/10.58 (~v26(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23192, 1369])).
% 14.48/10.58 tff(23194,plain,
% 14.48/10.58 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151)) | v26(constB151)),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23195,plain,
% 14.48/10.58 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23194, 23193])).
% 14.48/10.58 tff(23196,plain,
% 14.48/10.58 (~v111(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23195, 23191])).
% 14.48/10.58 tff(23197,plain,
% 14.48/10.58 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151) | v111(constB151)),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23198,plain,
% 14.48/10.58 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23197, 23196])).
% 14.48/10.58 tff(23199,plain,
% 14.48/10.58 (v126(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23198, 23189])).
% 14.48/10.58 tff(23200,plain,
% 14.48/10.58 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151)) | (~v126(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23201,plain,
% 14.48/10.58 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23200, 23199])).
% 14.48/10.58 tff(23202,plain,
% 14.48/10.58 (~((~v113(constB151)) | (~v126(constB151)))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23201, 23187])).
% 14.48/10.58 tff(23203,plain,
% 14.48/10.58 ((~(v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))) | v112(constB151) | ((~v113(constB151)) | (~v126(constB151)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23204,plain,
% 14.48/10.58 (v112(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23203, 23202, 19855])).
% 14.48/10.58 tff(23205,plain,
% 14.48/10.58 ((v111(constB151) | v112(constB151)) | (~v112(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23206,plain,
% 14.48/10.58 (v111(constB151) | v112(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23205, 23204])).
% 14.48/10.58 tff(23207,plain,
% 14.48/10.58 ((~(v108(constB151) <=> (v111(constB151) | v112(constB151)))) | v108(constB151) | (~(v111(constB151) | v112(constB151)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23208,plain,
% 14.48/10.58 (v108(constB151)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23207, 23206, 19853])).
% 14.48/10.58 tff(23209,plain,
% 14.48/10.58 ((~(v110(constB152) <=> v108(constB151))) | v110(constB152) | (~v108(constB151))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23210,plain,
% 14.48/10.58 (v110(constB152)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23209, 23208, 19851])).
% 14.48/10.58 tff(23211,plain,
% 14.48/10.58 ((~((~v101(constB152)) | (~v110(constB152)))) | (~v101(constB152)) | (~v110(constB152))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23212,plain,
% 14.48/10.58 (~((~v101(constB152)) | (~v110(constB152)))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23211, 23210, 19847])).
% 14.48/10.58 tff(23213,plain,
% 14.48/10.58 ((~(v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))) | v100(constB152) | ((~v101(constB152)) | (~v110(constB152)))),
% 14.48/10.58 inference(tautology,[status(thm)],[])).
% 14.48/10.58 tff(23214,plain,
% 14.48/10.58 (v100(constB152)),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23213, 23212, 19816])).
% 14.48/10.58 tff(23215,plain,
% 14.48/10.58 (((~![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))))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23216,plain,
% 14.48/10.58 ((~![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))))),
% 14.48/10.58 inference(quant_inst,[status(thm)],[])).
% 14.48/10.58 tff(23217,plain,
% 14.48/10.58 ((~![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)))),
% 14.48/10.58 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 14.48/10.58 tff(23218,plain,
% 14.48/10.58 ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23217, 1405])).
% 14.48/10.58 tff(23219,plain,
% 14.48/10.58 (![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 14.48/10.58 inference(unit_resolution,[status(thm)],[23218, 23214])).
% 14.48/10.58 tff(23220,plain,
% 14.48/10.58 (((~![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)))),
% 14.48/10.58 inference(rewrite,[status(thm)],[])).
% 14.48/10.58 tff(23221,plain,
% 14.48/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23222,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 14.48/10.59 tff(23223,plain,
% 14.48/10.59 (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23222, 579, 23219])).
% 14.48/10.59 tff(23224,plain,
% 14.48/10.59 (((~![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))))),
% 14.48/10.59 inference(rewrite,[status(thm)],[])).
% 14.48/10.59 tff(23225,plain,
% 14.48/10.59 ((~![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))))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23226,plain,
% 14.48/10.59 ((~![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)))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 14.48/10.59 tff(23227,plain,
% 14.48/10.59 (![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23226, 19812, 1427])).
% 14.48/10.59 tff(23228,plain,
% 14.48/10.59 (((~![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)))),
% 14.48/10.59 inference(rewrite,[status(thm)],[])).
% 14.48/10.59 tff(23229,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23230,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 14.48/10.59 tff(23231,plain,
% 14.48/10.59 (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23230, 579, 23227])).
% 14.48/10.59 tff(23232,plain,
% 14.48/10.59 (((~![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))))),
% 14.48/10.59 inference(rewrite,[status(thm)],[])).
% 14.48/10.59 tff(23233,plain,
% 14.48/10.59 ((~![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))))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23234,plain,
% 14.48/10.59 ((~![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)))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23233, 23232])).
% 14.48/10.59 tff(23235,plain,
% 14.48/10.59 (![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23234, 1448, 23196])).
% 14.48/10.59 tff(23236,plain,
% 14.48/10.59 (((~![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)))),
% 14.48/10.59 inference(rewrite,[status(thm)],[])).
% 14.48/10.59 tff(23237,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23238,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23237, 23236])).
% 14.48/10.59 tff(23239,plain,
% 14.48/10.59 (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23238, 579, 23235])).
% 14.48/10.59 tff(23240,plain,
% 14.48/10.59 (((~![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))))),
% 14.48/10.59 inference(rewrite,[status(thm)],[])).
% 14.48/10.59 tff(23241,plain,
% 14.48/10.59 ((~![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))))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23242,plain,
% 14.48/10.59 ((~![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)))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23241, 23240])).
% 14.48/10.59 tff(23243,plain,
% 14.48/10.59 ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23242, 2008])).
% 14.48/10.59 tff(23244,plain,
% 14.48/10.59 (![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23243, 23171])).
% 14.48/10.59 tff(23245,plain,
% 14.48/10.59 (((~![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)))),
% 14.48/10.59 inference(rewrite,[status(thm)],[])).
% 14.48/10.59 tff(23246,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 14.48/10.59 inference(quant_inst,[status(thm)],[])).
% 14.48/10.59 tff(23247,plain,
% 14.48/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2))),
% 14.48/10.59 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 14.48/10.59 tff(23248,plain,
% 14.48/10.59 (v130(constB151, bitIndex2) <=> b100(bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23247, 579, 23244])).
% 14.48/10.59 tff(23249,plain,
% 14.48/10.59 ((~(v130(constB151, bitIndex2) <=> b100(bitIndex2))) | v130(constB151, bitIndex2) | (~b100(bitIndex2))),
% 14.48/10.59 inference(tautology,[status(thm)],[])).
% 14.48/10.59 tff(23250,plain,
% 14.48/10.59 ((~(v130(constB151, bitIndex2) <=> b100(bitIndex2))) | v130(constB151, bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23249, 2020])).
% 14.48/10.59 tff(23251,plain,
% 14.48/10.59 (v130(constB151, bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23250, 23248])).
% 14.48/10.59 tff(23252,plain,
% 14.48/10.59 ((~(v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2))) | v127(constB151, bitIndex2) | (~v130(constB151, bitIndex2))),
% 14.48/10.59 inference(tautology,[status(thm)],[])).
% 14.48/10.59 tff(23253,plain,
% 14.48/10.59 (v127(constB151, bitIndex2)),
% 14.48/10.59 inference(unit_resolution,[status(thm)],[23252, 23251, 23239])).
% 14.48/10.59 tff(23254,plain,
% 14.48/10.59 ((~(v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2))) | v129(constB152, bitIndex2) | (~v127(constB151, bitIndex2))),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23255,plain,
% 14.53/10.59 (v129(constB152, bitIndex2)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23254, 23253, 23231])).
% 14.53/10.59 tff(23256,plain,
% 14.53/10.59 ((~(v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2))),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23257,plain,
% 14.53/10.59 (v90(constB152, bitIndex2)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23256, 23255, 23223])).
% 14.53/10.59 tff(23258,plain,
% 14.53/10.59 ((~(v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2))) | v90(constB153, bitIndex2) | (~v90(constB152, bitIndex2))),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23259,plain,
% 14.53/10.59 (v90(constB153, bitIndex2)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23258, 23257, 19809])).
% 14.53/10.59 tff(23260,plain,
% 14.53/10.59 (((~![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)))),
% 14.53/10.59 inference(rewrite,[status(thm)],[])).
% 14.53/10.59 tff(23261,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))),
% 14.53/10.59 inference(quant_inst,[status(thm)],[])).
% 14.53/10.59 tff(23262,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0))),
% 14.53/10.59 inference(modus_ponens,[status(thm)],[23261, 23260])).
% 14.53/10.59 tff(23263,plain,
% 14.53/10.59 (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23262, 1275, 19805])).
% 14.53/10.59 tff(23264,plain,
% 14.53/10.59 (((~![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)))),
% 14.53/10.59 inference(rewrite,[status(thm)],[])).
% 14.53/10.59 tff(23265,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))),
% 14.53/10.59 inference(quant_inst,[status(thm)],[])).
% 14.53/10.59 tff(23266,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0))),
% 14.53/10.59 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 14.53/10.59 tff(23267,plain,
% 14.53/10.59 (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23266, 1275, 23219])).
% 14.53/10.59 tff(23268,plain,
% 14.53/10.59 (((~![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)))),
% 14.53/10.59 inference(rewrite,[status(thm)],[])).
% 14.53/10.59 tff(23269,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))),
% 14.53/10.59 inference(quant_inst,[status(thm)],[])).
% 14.53/10.59 tff(23270,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0))),
% 14.53/10.59 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 14.53/10.59 tff(23271,plain,
% 14.53/10.59 (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23270, 1275, 23227])).
% 14.53/10.59 tff(23272,plain,
% 14.53/10.59 (((~![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)))),
% 14.53/10.59 inference(rewrite,[status(thm)],[])).
% 14.53/10.59 tff(23273,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))),
% 14.53/10.59 inference(quant_inst,[status(thm)],[])).
% 14.53/10.59 tff(23274,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0))),
% 14.53/10.59 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 14.53/10.59 tff(23275,plain,
% 14.53/10.59 (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23274, 1275, 23235])).
% 14.53/10.59 tff(23276,plain,
% 14.53/10.59 (((~![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)))),
% 14.53/10.59 inference(rewrite,[status(thm)],[])).
% 14.53/10.59 tff(23277,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 14.53/10.59 inference(quant_inst,[status(thm)],[])).
% 14.53/10.59 tff(23278,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0))),
% 14.53/10.59 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 14.53/10.59 tff(23279,plain,
% 14.53/10.59 (v130(constB151, bitIndex0) <=> b100(bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23278, 1275, 23244])).
% 14.53/10.59 tff(23280,plain,
% 14.53/10.59 ((~(v130(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB151, bitIndex0)) | b100(bitIndex0)),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23281,plain,
% 14.53/10.59 ((~(v130(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB151, bitIndex0))),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23280, 2054])).
% 14.53/10.59 tff(23282,plain,
% 14.53/10.59 (~v130(constB151, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23281, 23279])).
% 14.53/10.59 tff(23283,plain,
% 14.53/10.59 ((~(v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0))) | (~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23284,plain,
% 14.53/10.59 (~v127(constB151, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23283, 23282, 23275])).
% 14.53/10.59 tff(23285,plain,
% 14.53/10.59 ((~(v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0))) | (~v129(constB152, bitIndex0)) | v127(constB151, bitIndex0)),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23286,plain,
% 14.53/10.59 (~v129(constB152, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23285, 23284, 23271])).
% 14.53/10.59 tff(23287,plain,
% 14.53/10.59 ((~(v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0)),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23288,plain,
% 14.53/10.59 (~v90(constB152, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23287, 23286, 23267])).
% 14.53/10.59 tff(23289,plain,
% 14.53/10.59 ((~(v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0))) | (~v90(constB153, bitIndex0)) | v90(constB152, bitIndex0)),
% 14.53/10.59 inference(tautology,[status(thm)],[])).
% 14.53/10.59 tff(23290,plain,
% 14.53/10.59 (~v90(constB153, bitIndex0)),
% 14.53/10.59 inference(unit_resolution,[status(thm)],[23289, 23288, 23263])).
% 14.53/10.59 tff(23291,plain,
% 14.53/10.59 (((~![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)))),
% 14.53/10.59 inference(rewrite,[status(thm)],[])).
% 14.53/10.59 tff(23292,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))),
% 14.53/10.59 inference(quant_inst,[status(thm)],[])).
% 14.53/10.59 tff(23293,plain,
% 14.53/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23292, 23291])).
% 14.53/10.60 tff(23294,plain,
% 14.53/10.60 (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23293, 1288, 19805])).
% 14.53/10.60 tff(23295,plain,
% 14.53/10.60 (((~![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)))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23296,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23297,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23296, 23295])).
% 14.53/10.60 tff(23298,plain,
% 14.53/10.60 (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23297, 1288, 23219])).
% 14.53/10.60 tff(23299,plain,
% 14.53/10.60 (((~![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)))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23300,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23301,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23300, 23299])).
% 14.53/10.60 tff(23302,plain,
% 14.53/10.60 (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23301, 1288, 23227])).
% 14.53/10.60 tff(23303,plain,
% 14.53/10.60 (((~![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)))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23304,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23305,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 14.53/10.60 tff(23306,plain,
% 14.53/10.60 (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23305, 1288, 23235])).
% 14.53/10.60 tff(23307,plain,
% 14.53/10.60 (((~![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)))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23308,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23309,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23308, 23307])).
% 14.53/10.60 tff(23310,plain,
% 14.53/10.60 (v130(constB151, bitIndex1) <=> b100(bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23309, 1288, 23244])).
% 14.53/10.60 tff(23311,plain,
% 14.53/10.60 ((~(v130(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB151, bitIndex1)) | b100(bitIndex1)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23312,plain,
% 14.53/10.60 ((~(v130(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB151, bitIndex1))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23311, 2088])).
% 14.53/10.60 tff(23313,plain,
% 14.53/10.60 (~v130(constB151, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23312, 23310])).
% 14.53/10.60 tff(23314,plain,
% 14.53/10.60 ((~(v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1))) | (~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23315,plain,
% 14.53/10.60 (~v127(constB151, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23314, 23313, 23306])).
% 14.53/10.60 tff(23316,plain,
% 14.53/10.60 ((~(v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1))) | (~v129(constB152, bitIndex1)) | v127(constB151, bitIndex1)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23317,plain,
% 14.53/10.60 (~v129(constB152, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23316, 23315, 23302])).
% 14.53/10.60 tff(23318,plain,
% 14.53/10.60 ((~(v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23319,plain,
% 14.53/10.60 (~v90(constB152, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23318, 23317, 23298])).
% 14.53/10.60 tff(23320,plain,
% 14.53/10.60 ((~(v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1))) | (~v90(constB153, bitIndex1)) | v90(constB152, bitIndex1)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23321,plain,
% 14.53/10.60 (~v90(constB153, bitIndex1)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23320, 23319, 23294])).
% 14.53/10.60 tff(23322,plain,
% 14.53/10.60 ((~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))) | (~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23323,plain,
% 14.53/10.60 (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23322, 23321, 23290, 23259])).
% 14.53/10.60 tff(23324,plain,
% 14.53/10.60 ((~(v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))) | v123(constB153) | ((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23325,plain,
% 14.53/10.60 (v123(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23324, 23323, 19777])).
% 14.53/10.60 tff(23326,plain,
% 14.53/10.60 ((v116(constB153) | v123(constB153)) | (~v123(constB153))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23327,plain,
% 14.53/10.60 (v116(constB153) | v123(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23326, 23325])).
% 14.53/10.60 tff(23328,plain,
% 14.53/10.60 ((~(v115(constB153) <=> (v116(constB153) | v123(constB153)))) | v115(constB153) | (~(v116(constB153) | v123(constB153)))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23329,plain,
% 14.53/10.60 (v115(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23328, 23327, 19770])).
% 14.53/10.60 tff(23330,plain,
% 14.53/10.60 ((v115(constB153) | v124(constB153)) | (~v115(constB153))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23331,plain,
% 14.53/10.60 (v115(constB153) | v124(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23330, 23329])).
% 14.53/10.60 tff(23332,plain,
% 14.53/10.60 ((~(v114(constB153) <=> (v115(constB153) | v124(constB153)))) | v114(constB153) | (~(v115(constB153) | v124(constB153)))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23333,plain,
% 14.53/10.60 (v114(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23332, 23331, 19768])).
% 14.53/10.60 tff(23334,plain,
% 14.53/10.60 ((v114(constB153) | v125(constB153)) | (~v114(constB153))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23335,plain,
% 14.53/10.60 (v114(constB153) | v125(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23334, 23333])).
% 14.53/10.60 tff(23336,plain,
% 14.53/10.60 ((~(v113(constB153) <=> (v114(constB153) | v125(constB153)))) | v113(constB153) | (~(v114(constB153) | v125(constB153)))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23337,plain,
% 14.53/10.60 (v113(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23336, 23335, 19766])).
% 14.53/10.60 tff(23338,plain,
% 14.53/10.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB153)) <=> v111(constB153))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23339,plain,
% 14.53/10.60 ((~v126(constB153)) <=> v111(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23338, 1345])).
% 14.53/10.60 tff(23340,plain,
% 14.53/10.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB153) <=> v26(constB153))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23341,plain,
% 14.53/10.60 (v111(constB153) <=> v26(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23340, 1357])).
% 14.53/10.60 tff(23342,plain,
% 14.53/10.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23343,plain,
% 14.53/10.60 (~v26(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23342, 1369])).
% 14.53/10.60 tff(23344,plain,
% 14.53/10.60 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153)) | v26(constB153)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23345,plain,
% 14.53/10.60 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23344, 23343])).
% 14.53/10.60 tff(23346,plain,
% 14.53/10.60 (~v111(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23345, 23341])).
% 14.53/10.60 tff(23347,plain,
% 14.53/10.60 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153) | v111(constB153)),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23348,plain,
% 14.53/10.60 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23347, 23346])).
% 14.53/10.60 tff(23349,plain,
% 14.53/10.60 (v126(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23348, 23339])).
% 14.53/10.60 tff(23350,plain,
% 14.53/10.60 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153)) | (~v126(constB153))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23351,plain,
% 14.53/10.60 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23350, 23349])).
% 14.53/10.60 tff(23352,plain,
% 14.53/10.60 (~((~v113(constB153)) | (~v126(constB153)))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23351, 23337])).
% 14.53/10.60 tff(23353,plain,
% 14.53/10.60 ((~(v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))) | v112(constB153) | ((~v113(constB153)) | (~v126(constB153)))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23354,plain,
% 14.53/10.60 (v112(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23353, 23352, 19764])).
% 14.53/10.60 tff(23355,plain,
% 14.53/10.60 ((v111(constB153) | v112(constB153)) | (~v112(constB153))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23356,plain,
% 14.53/10.60 (v111(constB153) | v112(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23355, 23354])).
% 14.53/10.60 tff(23357,plain,
% 14.53/10.60 ((~(v108(constB153) <=> (v111(constB153) | v112(constB153)))) | v108(constB153) | (~(v111(constB153) | v112(constB153)))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23358,plain,
% 14.53/10.60 (v108(constB153)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23357, 23356, 19762])).
% 14.53/10.60 tff(23359,plain,
% 14.53/10.60 ((~(v110(constB154) <=> v108(constB153))) | v110(constB154) | (~v108(constB153))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23360,plain,
% 14.53/10.60 (v110(constB154)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23359, 23358, 19760])).
% 14.53/10.60 tff(23361,plain,
% 14.53/10.60 ((~((~v101(constB154)) | (~v110(constB154)))) | (~v101(constB154)) | (~v110(constB154))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23362,plain,
% 14.53/10.60 (~((~v101(constB154)) | (~v110(constB154)))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23361, 23360, 19756])).
% 14.53/10.60 tff(23363,plain,
% 14.53/10.60 ((~(v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))) | v100(constB154) | ((~v101(constB154)) | (~v110(constB154)))),
% 14.53/10.60 inference(tautology,[status(thm)],[])).
% 14.53/10.60 tff(23364,plain,
% 14.53/10.60 (v100(constB154)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23363, 23362, 19725])).
% 14.53/10.60 tff(23365,plain,
% 14.53/10.60 (((~![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))))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23366,plain,
% 14.53/10.60 ((~![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))))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23367,plain,
% 14.53/10.60 ((~![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)))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 14.53/10.60 tff(23368,plain,
% 14.53/10.60 ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23367, 1405])).
% 14.53/10.60 tff(23369,plain,
% 14.53/10.60 (![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23368, 23364])).
% 14.53/10.60 tff(23370,plain,
% 14.53/10.60 (((~![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)))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23371,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23372,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23371, 23370])).
% 14.53/10.60 tff(23373,plain,
% 14.53/10.60 (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23372, 579, 23369])).
% 14.53/10.60 tff(23374,plain,
% 14.53/10.60 (((~![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))))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23375,plain,
% 14.53/10.60 ((~![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))))),
% 14.53/10.60 inference(quant_inst,[status(thm)],[])).
% 14.53/10.60 tff(23376,plain,
% 14.53/10.60 ((~![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)))),
% 14.53/10.60 inference(modus_ponens,[status(thm)],[23375, 23374])).
% 14.53/10.60 tff(23377,plain,
% 14.53/10.60 (![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))),
% 14.53/10.60 inference(unit_resolution,[status(thm)],[23376, 19721, 1427])).
% 14.53/10.60 tff(23378,plain,
% 14.53/10.60 (((~![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)))),
% 14.53/10.60 inference(rewrite,[status(thm)],[])).
% 14.53/10.60 tff(23379,plain,
% 14.53/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23380,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23379, 23378])).
% 14.53/10.61 tff(23381,plain,
% 14.53/10.61 (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23380, 579, 23377])).
% 14.53/10.61 tff(23382,plain,
% 14.53/10.61 (((~![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))))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23383,plain,
% 14.53/10.61 ((~![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))))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23384,plain,
% 14.53/10.61 ((~![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)))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 14.53/10.61 tff(23385,plain,
% 14.53/10.61 (![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23384, 1448, 23346])).
% 14.53/10.61 tff(23386,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23387,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23388,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23387, 23386])).
% 14.53/10.61 tff(23389,plain,
% 14.53/10.61 (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23388, 579, 23385])).
% 14.53/10.61 tff(23390,plain,
% 14.53/10.61 (((~![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))))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23391,plain,
% 14.53/10.61 ((~![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))))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23392,plain,
% 14.53/10.61 ((~![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)))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23391, 23390])).
% 14.53/10.61 tff(23393,plain,
% 14.53/10.61 ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23392, 2180])).
% 14.53/10.61 tff(23394,plain,
% 14.53/10.61 (![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23393, 23325])).
% 14.53/10.61 tff(23395,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23396,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b101(bitIndex2)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23397,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b101(bitIndex2))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23396, 23395])).
% 14.53/10.61 tff(23398,plain,
% 14.53/10.61 (v130(constB153, bitIndex2) <=> b101(bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23397, 579, 23394])).
% 14.53/10.61 tff(23399,plain,
% 14.53/10.61 ((~(v130(constB153, bitIndex2) <=> b101(bitIndex2))) | v130(constB153, bitIndex2) | (~b101(bitIndex2))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23400,plain,
% 14.53/10.61 ((~(v130(constB153, bitIndex2) <=> b101(bitIndex2))) | v130(constB153, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23399, 2192])).
% 14.53/10.61 tff(23401,plain,
% 14.53/10.61 (v130(constB153, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23400, 23398])).
% 14.53/10.61 tff(23402,plain,
% 14.53/10.61 ((~(v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2))) | v127(constB153, bitIndex2) | (~v130(constB153, bitIndex2))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23403,plain,
% 14.53/10.61 (v127(constB153, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23402, 23401, 23389])).
% 14.53/10.61 tff(23404,plain,
% 14.53/10.61 ((~(v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2))) | v129(constB154, bitIndex2) | (~v127(constB153, bitIndex2))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23405,plain,
% 14.53/10.61 (v129(constB154, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23404, 23403, 23381])).
% 14.53/10.61 tff(23406,plain,
% 14.53/10.61 ((~(v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23407,plain,
% 14.53/10.61 (v90(constB154, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23406, 23405, 23373])).
% 14.53/10.61 tff(23408,plain,
% 14.53/10.61 ((~(v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2))) | v90(constB155, bitIndex2) | (~v90(constB154, bitIndex2))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23409,plain,
% 14.53/10.61 (v90(constB155, bitIndex2)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23408, 23407, 19718])).
% 14.53/10.61 tff(23410,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23411,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23412,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23411, 23410])).
% 14.53/10.61 tff(23413,plain,
% 14.53/10.61 (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23412, 1275, 19714])).
% 14.53/10.61 tff(23414,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23415,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23416,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23415, 23414])).
% 14.53/10.61 tff(23417,plain,
% 14.53/10.61 (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23416, 1275, 23369])).
% 14.53/10.61 tff(23418,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23419,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23420,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23419, 23418])).
% 14.53/10.61 tff(23421,plain,
% 14.53/10.61 (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23420, 1275, 23377])).
% 14.53/10.61 tff(23422,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23423,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23424,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23423, 23422])).
% 14.53/10.61 tff(23425,plain,
% 14.53/10.61 (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23424, 1275, 23385])).
% 14.53/10.61 tff(23426,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23427,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b101(bitIndex0)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23428,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b101(bitIndex0))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23427, 23426])).
% 14.53/10.61 tff(23429,plain,
% 14.53/10.61 (v130(constB153, bitIndex0) <=> b101(bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23428, 1275, 23394])).
% 14.53/10.61 tff(23430,plain,
% 14.53/10.61 ((~(v130(constB153, bitIndex0) <=> b101(bitIndex0))) | v130(constB153, bitIndex0) | (~b101(bitIndex0))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23431,plain,
% 14.53/10.61 ((~(v130(constB153, bitIndex0) <=> b101(bitIndex0))) | v130(constB153, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23430, 2351])).
% 14.53/10.61 tff(23432,plain,
% 14.53/10.61 (v130(constB153, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23431, 23429])).
% 14.53/10.61 tff(23433,plain,
% 14.53/10.61 ((~(v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0))) | v127(constB153, bitIndex0) | (~v130(constB153, bitIndex0))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23434,plain,
% 14.53/10.61 (v127(constB153, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23433, 23432, 23425])).
% 14.53/10.61 tff(23435,plain,
% 14.53/10.61 ((~(v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0))) | v129(constB154, bitIndex0) | (~v127(constB153, bitIndex0))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23436,plain,
% 14.53/10.61 (v129(constB154, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23435, 23434, 23421])).
% 14.53/10.61 tff(23437,plain,
% 14.53/10.61 ((~(v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23438,plain,
% 14.53/10.61 (v90(constB154, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23437, 23436, 23417])).
% 14.53/10.61 tff(23439,plain,
% 14.53/10.61 ((~(v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0))) | v90(constB155, bitIndex0) | (~v90(constB154, bitIndex0))),
% 14.53/10.61 inference(tautology,[status(thm)],[])).
% 14.53/10.61 tff(23440,plain,
% 14.53/10.61 (v90(constB155, bitIndex0)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23439, 23438, 23413])).
% 14.53/10.61 tff(23441,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23442,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23443,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23442, 23441])).
% 14.53/10.61 tff(23444,plain,
% 14.53/10.61 (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23443, 1288, 19714])).
% 14.53/10.61 tff(23445,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23446,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23447,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 14.53/10.61 tff(23448,plain,
% 14.53/10.61 (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23447, 1288, 23369])).
% 14.53/10.61 tff(23449,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.61 inference(rewrite,[status(thm)],[])).
% 14.53/10.61 tff(23450,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))),
% 14.53/10.61 inference(quant_inst,[status(thm)],[])).
% 14.53/10.61 tff(23451,plain,
% 14.53/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1))),
% 14.53/10.61 inference(modus_ponens,[status(thm)],[23450, 23449])).
% 14.53/10.61 tff(23452,plain,
% 14.53/10.61 (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)),
% 14.53/10.61 inference(unit_resolution,[status(thm)],[23451, 1288, 23377])).
% 14.53/10.61 tff(23453,plain,
% 14.53/10.61 (((~![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)))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23454,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23455,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23454, 23453])).
% 14.53/10.62 tff(23456,plain,
% 14.53/10.62 (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23455, 1288, 23385])).
% 14.53/10.62 tff(23457,plain,
% 14.53/10.62 (((~![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)))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23458,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b101(bitIndex1)))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23459,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b101(bitIndex1))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23458, 23457])).
% 14.53/10.62 tff(23460,plain,
% 14.53/10.62 (v130(constB153, bitIndex1) <=> b101(bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23459, 1288, 23394])).
% 14.53/10.62 tff(23461,plain,
% 14.53/10.62 ((~(v130(constB153, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB153, bitIndex1)) | b101(bitIndex1)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23462,plain,
% 14.53/10.62 ((~(v130(constB153, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB153, bitIndex1))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23461, 2391])).
% 14.53/10.62 tff(23463,plain,
% 14.53/10.62 (~v130(constB153, bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23462, 23460])).
% 14.53/10.62 tff(23464,plain,
% 14.53/10.62 ((~(v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1))) | (~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23465,plain,
% 14.53/10.62 (~v127(constB153, bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23464, 23463, 23456])).
% 14.53/10.62 tff(23466,plain,
% 14.53/10.62 ((~(v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1))) | (~v129(constB154, bitIndex1)) | v127(constB153, bitIndex1)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23467,plain,
% 14.53/10.62 (~v129(constB154, bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23466, 23465, 23452])).
% 14.53/10.62 tff(23468,plain,
% 14.53/10.62 ((~(v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23469,plain,
% 14.53/10.62 (~v90(constB154, bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23468, 23467, 23448])).
% 14.53/10.62 tff(23470,plain,
% 14.53/10.62 ((~(v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1))) | (~v90(constB155, bitIndex1)) | v90(constB154, bitIndex1)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23471,plain,
% 14.53/10.62 (~v90(constB155, bitIndex1)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23470, 23469, 23444])).
% 14.53/10.62 tff(23472,plain,
% 14.53/10.62 ((~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))) | (~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23473,plain,
% 14.53/10.62 (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23472, 23471, 23440, 23409])).
% 14.53/10.62 tff(23474,plain,
% 14.53/10.62 ((~(v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) | v124(constB155) | ((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23475,plain,
% 14.53/10.62 (v124(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23474, 23473, 19686])).
% 14.53/10.62 tff(23476,plain,
% 14.53/10.62 ((v115(constB155) | v124(constB155)) | (~v124(constB155))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23477,plain,
% 14.53/10.62 (v115(constB155) | v124(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23476, 23475])).
% 14.53/10.62 tff(23478,plain,
% 14.53/10.62 ((~(v114(constB155) <=> (v115(constB155) | v124(constB155)))) | v114(constB155) | (~(v115(constB155) | v124(constB155)))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23479,plain,
% 14.53/10.62 (v114(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23478, 23477, 19679])).
% 14.53/10.62 tff(23480,plain,
% 14.53/10.62 ((v114(constB155) | v125(constB155)) | (~v114(constB155))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23481,plain,
% 14.53/10.62 (v114(constB155) | v125(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23480, 23479])).
% 14.53/10.62 tff(23482,plain,
% 14.53/10.62 ((~(v113(constB155) <=> (v114(constB155) | v125(constB155)))) | v113(constB155) | (~(v114(constB155) | v125(constB155)))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23483,plain,
% 14.53/10.62 (v113(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23482, 23481, 19677])).
% 14.53/10.62 tff(23484,plain,
% 14.53/10.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB155)) <=> v111(constB155))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23485,plain,
% 14.53/10.62 ((~v126(constB155)) <=> v111(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23484, 1345])).
% 14.53/10.62 tff(23486,plain,
% 14.53/10.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB155) <=> v26(constB155))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23487,plain,
% 14.53/10.62 (v111(constB155) <=> v26(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23486, 1357])).
% 14.53/10.62 tff(23488,plain,
% 14.53/10.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23489,plain,
% 14.53/10.62 (~v26(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23488, 1369])).
% 14.53/10.62 tff(23490,plain,
% 14.53/10.62 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155)) | v26(constB155)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23491,plain,
% 14.53/10.62 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23490, 23489])).
% 14.53/10.62 tff(23492,plain,
% 14.53/10.62 (~v111(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23491, 23487])).
% 14.53/10.62 tff(23493,plain,
% 14.53/10.62 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155) | v111(constB155)),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23494,plain,
% 14.53/10.62 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23493, 23492])).
% 14.53/10.62 tff(23495,plain,
% 14.53/10.62 (v126(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23494, 23485])).
% 14.53/10.62 tff(23496,plain,
% 14.53/10.62 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155)) | (~v126(constB155))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23497,plain,
% 14.53/10.62 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23496, 23495])).
% 14.53/10.62 tff(23498,plain,
% 14.53/10.62 (~((~v113(constB155)) | (~v126(constB155)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23497, 23483])).
% 14.53/10.62 tff(23499,plain,
% 14.53/10.62 ((~(v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))) | v112(constB155) | ((~v113(constB155)) | (~v126(constB155)))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23500,plain,
% 14.53/10.62 (v112(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23499, 23498, 19675])).
% 14.53/10.62 tff(23501,plain,
% 14.53/10.62 ((v111(constB155) | v112(constB155)) | (~v112(constB155))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23502,plain,
% 14.53/10.62 (v111(constB155) | v112(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23501, 23500])).
% 14.53/10.62 tff(23503,plain,
% 14.53/10.62 ((~(v108(constB155) <=> (v111(constB155) | v112(constB155)))) | v108(constB155) | (~(v111(constB155) | v112(constB155)))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23504,plain,
% 14.53/10.62 (v108(constB155)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23503, 23502, 19673])).
% 14.53/10.62 tff(23505,plain,
% 14.53/10.62 ((~(v110(constB156) <=> v108(constB155))) | v110(constB156) | (~v108(constB155))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23506,plain,
% 14.53/10.62 (v110(constB156)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23505, 23504, 19671])).
% 14.53/10.62 tff(23507,plain,
% 14.53/10.62 ((~((~v101(constB156)) | (~v110(constB156)))) | (~v101(constB156)) | (~v110(constB156))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23508,plain,
% 14.53/10.62 (~((~v101(constB156)) | (~v110(constB156)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23507, 23506, 19667])).
% 14.53/10.62 tff(23509,plain,
% 14.53/10.62 ((~(v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))) | v100(constB156) | ((~v101(constB156)) | (~v110(constB156)))),
% 14.53/10.62 inference(tautology,[status(thm)],[])).
% 14.53/10.62 tff(23510,plain,
% 14.53/10.62 (v100(constB156)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23509, 23508, 19636])).
% 14.53/10.62 tff(23511,plain,
% 14.53/10.62 (((~![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))))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23512,plain,
% 14.53/10.62 ((~![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))))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23513,plain,
% 14.53/10.62 ((~![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)))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23512, 23511])).
% 14.53/10.62 tff(23514,plain,
% 14.53/10.62 ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23513, 1405])).
% 14.53/10.62 tff(23515,plain,
% 14.53/10.62 (![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23514, 23510])).
% 14.53/10.62 tff(23516,plain,
% 14.53/10.62 (((~![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)))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23517,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23518,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 14.53/10.62 tff(23519,plain,
% 14.53/10.62 (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23518, 579, 23515])).
% 14.53/10.62 tff(23520,plain,
% 14.53/10.62 (((~![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))))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23521,plain,
% 14.53/10.62 ((~![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))))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23522,plain,
% 14.53/10.62 ((~![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)))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23521, 23520])).
% 14.53/10.62 tff(23523,plain,
% 14.53/10.62 (![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23522, 19632, 1427])).
% 14.53/10.62 tff(23524,plain,
% 14.53/10.62 (((~![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)))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23525,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23526,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 14.53/10.62 tff(23527,plain,
% 14.53/10.62 (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23526, 579, 23523])).
% 14.53/10.62 tff(23528,plain,
% 14.53/10.62 (((~![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))))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23529,plain,
% 14.53/10.62 ((~![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))))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23530,plain,
% 14.53/10.62 ((~![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)))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23529, 23528])).
% 14.53/10.62 tff(23531,plain,
% 14.53/10.62 (![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23530, 1448, 23492])).
% 14.53/10.62 tff(23532,plain,
% 14.53/10.62 (((~![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)))),
% 14.53/10.62 inference(rewrite,[status(thm)],[])).
% 14.53/10.62 tff(23533,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))),
% 14.53/10.62 inference(quant_inst,[status(thm)],[])).
% 14.53/10.62 tff(23534,plain,
% 14.53/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2))),
% 14.53/10.62 inference(modus_ponens,[status(thm)],[23533, 23532])).
% 14.53/10.62 tff(23535,plain,
% 14.53/10.62 (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)),
% 14.53/10.62 inference(unit_resolution,[status(thm)],[23534, 579, 23531])).
% 14.53/10.62 tff(23536,plain,
% 14.53/10.62 (((~![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))))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23537,plain,
% 14.53/10.63 ((~![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))))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23538,plain,
% 14.53/10.63 ((~![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)))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23537, 23536])).
% 14.53/10.63 tff(23539,plain,
% 14.53/10.63 ((~v124(constB155)) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23538, 2735])).
% 14.53/10.63 tff(23540,plain,
% 14.53/10.63 (![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23539, 23475])).
% 14.53/10.63 tff(23541,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23542,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b110(bitIndex2)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23543,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b110(bitIndex2))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 14.53/10.63 tff(23544,plain,
% 14.53/10.63 (v130(constB155, bitIndex2) <=> b110(bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23543, 579, 23540])).
% 14.53/10.63 tff(23545,plain,
% 14.53/10.63 ((~(v130(constB155, bitIndex2) <=> b110(bitIndex2))) | v130(constB155, bitIndex2) | (~b110(bitIndex2))),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23546,plain,
% 14.53/10.63 ((~(v130(constB155, bitIndex2) <=> b110(bitIndex2))) | v130(constB155, bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23545, 2747])).
% 14.53/10.63 tff(23547,plain,
% 14.53/10.63 (v130(constB155, bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23546, 23544])).
% 14.53/10.63 tff(23548,plain,
% 14.53/10.63 ((~(v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2))) | v127(constB155, bitIndex2) | (~v130(constB155, bitIndex2))),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23549,plain,
% 14.53/10.63 (v127(constB155, bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23548, 23547, 23535])).
% 14.53/10.63 tff(23550,plain,
% 14.53/10.63 ((~(v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2))) | v129(constB156, bitIndex2) | (~v127(constB155, bitIndex2))),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23551,plain,
% 14.53/10.63 (v129(constB156, bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23550, 23549, 23527])).
% 14.53/10.63 tff(23552,plain,
% 14.53/10.63 ((~(v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2))),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23553,plain,
% 14.53/10.63 (v90(constB156, bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23552, 23551, 23519])).
% 14.53/10.63 tff(23554,plain,
% 14.53/10.63 ((~(v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2))) | v90(constB157, bitIndex2) | (~v90(constB156, bitIndex2))),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23555,plain,
% 14.53/10.63 (v90(constB157, bitIndex2)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23554, 23553, 19629])).
% 14.53/10.63 tff(23556,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23557,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23558,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23557, 23556])).
% 14.53/10.63 tff(23559,plain,
% 14.53/10.63 (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23558, 1275, 19625])).
% 14.53/10.63 tff(23560,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23561,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23562,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23561, 23560])).
% 14.53/10.63 tff(23563,plain,
% 14.53/10.63 (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23562, 1275, 23515])).
% 14.53/10.63 tff(23564,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23565,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23566,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23565, 23564])).
% 14.53/10.63 tff(23567,plain,
% 14.53/10.63 (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23566, 1275, 23523])).
% 14.53/10.63 tff(23568,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23569,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23570,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23569, 23568])).
% 14.53/10.63 tff(23571,plain,
% 14.53/10.63 (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23570, 1275, 23531])).
% 14.53/10.63 tff(23572,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23573,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b110(bitIndex0)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23574,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b110(bitIndex0))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23573, 23572])).
% 14.53/10.63 tff(23575,plain,
% 14.53/10.63 (v130(constB155, bitIndex0) <=> b110(bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23574, 1275, 23540])).
% 14.53/10.63 tff(23576,plain,
% 14.53/10.63 ((~(v130(constB155, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB155, bitIndex0)) | b110(bitIndex0)),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23577,plain,
% 14.53/10.63 ((~(v130(constB155, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB155, bitIndex0))),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23576, 2862])).
% 14.53/10.63 tff(23578,plain,
% 14.53/10.63 (~v130(constB155, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23577, 23575])).
% 14.53/10.63 tff(23579,plain,
% 14.53/10.63 ((~(v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0))) | (~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23580,plain,
% 14.53/10.63 (~v127(constB155, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23579, 23578, 23571])).
% 14.53/10.63 tff(23581,plain,
% 14.53/10.63 ((~(v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0))) | (~v129(constB156, bitIndex0)) | v127(constB155, bitIndex0)),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23582,plain,
% 14.53/10.63 (~v129(constB156, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23581, 23580, 23567])).
% 14.53/10.63 tff(23583,plain,
% 14.53/10.63 ((~(v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0)),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23584,plain,
% 14.53/10.63 (~v90(constB156, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23583, 23582, 23563])).
% 14.53/10.63 tff(23585,plain,
% 14.53/10.63 ((~(v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0))) | (~v90(constB157, bitIndex0)) | v90(constB156, bitIndex0)),
% 14.53/10.63 inference(tautology,[status(thm)],[])).
% 14.53/10.63 tff(23586,plain,
% 14.53/10.63 (~v90(constB157, bitIndex0)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23585, 23584, 23559])).
% 14.53/10.63 tff(23587,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23588,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23589,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23588, 23587])).
% 14.53/10.63 tff(23590,plain,
% 14.53/10.63 (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)),
% 14.53/10.63 inference(unit_resolution,[status(thm)],[23589, 1288, 19625])).
% 14.53/10.63 tff(23591,plain,
% 14.53/10.63 (((~![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)))),
% 14.53/10.63 inference(rewrite,[status(thm)],[])).
% 14.53/10.63 tff(23592,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))),
% 14.53/10.63 inference(quant_inst,[status(thm)],[])).
% 14.53/10.63 tff(23593,plain,
% 14.53/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1))),
% 14.53/10.63 inference(modus_ponens,[status(thm)],[23592, 23591])).
% 14.53/10.63 tff(23594,plain,
% 14.53/10.64 (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23593, 1288, 23515])).
% 14.53/10.64 tff(23595,plain,
% 14.53/10.64 (((~![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)))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23596,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23597,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23596, 23595])).
% 14.53/10.64 tff(23598,plain,
% 14.53/10.64 (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23597, 1288, 23523])).
% 14.53/10.64 tff(23599,plain,
% 14.53/10.64 (((~![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)))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23600,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23601,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23600, 23599])).
% 14.53/10.64 tff(23602,plain,
% 14.53/10.64 (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23601, 1288, 23531])).
% 14.53/10.64 tff(23603,plain,
% 14.53/10.64 (((~![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)))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23604,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b110(bitIndex1)))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23605,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b110(bitIndex1))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23604, 23603])).
% 14.53/10.64 tff(23606,plain,
% 14.53/10.64 (v130(constB155, bitIndex1) <=> b110(bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23605, 1288, 23540])).
% 14.53/10.64 tff(23607,plain,
% 14.53/10.64 ((~(v130(constB155, bitIndex1) <=> b110(bitIndex1))) | v130(constB155, bitIndex1) | (~b110(bitIndex1))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23608,plain,
% 14.53/10.64 ((~(v130(constB155, bitIndex1) <=> b110(bitIndex1))) | v130(constB155, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23607, 2902])).
% 14.53/10.64 tff(23609,plain,
% 14.53/10.64 (v130(constB155, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23608, 23606])).
% 14.53/10.64 tff(23610,plain,
% 14.53/10.64 ((~(v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1))) | v127(constB155, bitIndex1) | (~v130(constB155, bitIndex1))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23611,plain,
% 14.53/10.64 (v127(constB155, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23610, 23609, 23602])).
% 14.53/10.64 tff(23612,plain,
% 14.53/10.64 ((~(v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1))) | v129(constB156, bitIndex1) | (~v127(constB155, bitIndex1))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23613,plain,
% 14.53/10.64 (v129(constB156, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23612, 23611, 23598])).
% 14.53/10.64 tff(23614,plain,
% 14.53/10.64 ((~(v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23615,plain,
% 14.53/10.64 (v90(constB156, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23614, 23613, 23594])).
% 14.53/10.64 tff(23616,plain,
% 14.53/10.64 ((~(v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1))) | v90(constB157, bitIndex1) | (~v90(constB156, bitIndex1))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23617,plain,
% 14.53/10.64 (v90(constB157, bitIndex1)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23616, 23615, 23590])).
% 14.53/10.64 tff(23618,plain,
% 14.53/10.64 ((~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23619,plain,
% 14.53/10.64 (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23618, 23617, 23586, 23555])).
% 14.53/10.64 tff(23620,plain,
% 14.53/10.64 ((~(v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))) | v125(constB157) | ((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23621,plain,
% 14.53/10.64 (v125(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23620, 23619, 19597])).
% 14.53/10.64 tff(23622,plain,
% 14.53/10.64 ((v114(constB157) | v125(constB157)) | (~v125(constB157))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23623,plain,
% 14.53/10.64 (v114(constB157) | v125(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23622, 23621])).
% 14.53/10.64 tff(23624,plain,
% 14.53/10.64 ((~(v113(constB157) <=> (v114(constB157) | v125(constB157)))) | v113(constB157) | (~(v114(constB157) | v125(constB157)))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23625,plain,
% 14.53/10.64 (v113(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23624, 23623, 19590])).
% 14.53/10.64 tff(23626,plain,
% 14.53/10.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB157)) <=> v111(constB157))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23627,plain,
% 14.53/10.64 ((~v126(constB157)) <=> v111(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23626, 1345])).
% 14.53/10.64 tff(23628,plain,
% 14.53/10.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB157) <=> v26(constB157))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23629,plain,
% 14.53/10.64 (v111(constB157) <=> v26(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23628, 1357])).
% 14.53/10.64 tff(23630,plain,
% 14.53/10.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23631,plain,
% 14.53/10.64 (~v26(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23630, 1369])).
% 14.53/10.64 tff(23632,plain,
% 14.53/10.64 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157)) | v26(constB157)),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23633,plain,
% 14.53/10.64 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23632, 23631])).
% 14.53/10.64 tff(23634,plain,
% 14.53/10.64 (~v111(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23633, 23629])).
% 14.53/10.64 tff(23635,plain,
% 14.53/10.64 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157) | v111(constB157)),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23636,plain,
% 14.53/10.64 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23635, 23634])).
% 14.53/10.64 tff(23637,plain,
% 14.53/10.64 (v126(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23636, 23627])).
% 14.53/10.64 tff(23638,plain,
% 14.53/10.64 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157)) | (~v126(constB157))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23639,plain,
% 14.53/10.64 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23638, 23637])).
% 14.53/10.64 tff(23640,plain,
% 14.53/10.64 (~((~v113(constB157)) | (~v126(constB157)))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23639, 23625])).
% 14.53/10.64 tff(23641,plain,
% 14.53/10.64 ((~(v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))) | v112(constB157) | ((~v113(constB157)) | (~v126(constB157)))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23642,plain,
% 14.53/10.64 (v112(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23641, 23640, 19588])).
% 14.53/10.64 tff(23643,plain,
% 14.53/10.64 ((v111(constB157) | v112(constB157)) | (~v112(constB157))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23644,plain,
% 14.53/10.64 (v111(constB157) | v112(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23643, 23642])).
% 14.53/10.64 tff(23645,plain,
% 14.53/10.64 ((~(v108(constB157) <=> (v111(constB157) | v112(constB157)))) | v108(constB157) | (~(v111(constB157) | v112(constB157)))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23646,plain,
% 14.53/10.64 (v108(constB157)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23645, 23644, 19586])).
% 14.53/10.64 tff(23647,plain,
% 14.53/10.64 ((~(v110(constB158) <=> v108(constB157))) | v110(constB158) | (~v108(constB157))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23648,plain,
% 14.53/10.64 (v110(constB158)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23647, 23646, 19584])).
% 14.53/10.64 tff(23649,plain,
% 14.53/10.64 ((~((~v101(constB158)) | (~v110(constB158)))) | (~v101(constB158)) | (~v110(constB158))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23650,plain,
% 14.53/10.64 (~((~v101(constB158)) | (~v110(constB158)))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23649, 23648, 19580])).
% 14.53/10.64 tff(23651,plain,
% 14.53/10.64 ((~(v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))) | v100(constB158) | ((~v101(constB158)) | (~v110(constB158)))),
% 14.53/10.64 inference(tautology,[status(thm)],[])).
% 14.53/10.64 tff(23652,plain,
% 14.53/10.64 (v100(constB158)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23651, 23650, 19549])).
% 14.53/10.64 tff(23653,plain,
% 14.53/10.64 (((~![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))))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23654,plain,
% 14.53/10.64 ((~![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))))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23655,plain,
% 14.53/10.64 ((~![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)))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 14.53/10.64 tff(23656,plain,
% 14.53/10.64 ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23655, 1405])).
% 14.53/10.64 tff(23657,plain,
% 14.53/10.64 (![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23656, 23652])).
% 14.53/10.64 tff(23658,plain,
% 14.53/10.64 (((~![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)))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23659,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23660,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23659, 23658])).
% 14.53/10.64 tff(23661,plain,
% 14.53/10.64 (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23660, 579, 23657])).
% 14.53/10.64 tff(23662,plain,
% 14.53/10.64 (((~![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))))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23663,plain,
% 14.53/10.64 ((~![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))))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23664,plain,
% 14.53/10.64 ((~![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)))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23663, 23662])).
% 14.53/10.64 tff(23665,plain,
% 14.53/10.64 (![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23664, 19545, 1427])).
% 14.53/10.64 tff(23666,plain,
% 14.53/10.64 (((~![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)))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23667,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23668,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23667, 23666])).
% 14.53/10.64 tff(23669,plain,
% 14.53/10.64 (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23668, 579, 23665])).
% 14.53/10.64 tff(23670,plain,
% 14.53/10.64 (((~![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))))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23671,plain,
% 14.53/10.64 ((~![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))))),
% 14.53/10.64 inference(quant_inst,[status(thm)],[])).
% 14.53/10.64 tff(23672,plain,
% 14.53/10.64 ((~![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)))),
% 14.53/10.64 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 14.53/10.64 tff(23673,plain,
% 14.53/10.64 (![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))),
% 14.53/10.64 inference(unit_resolution,[status(thm)],[23672, 1448, 23634])).
% 14.53/10.64 tff(23674,plain,
% 14.53/10.64 (((~![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)))),
% 14.53/10.64 inference(rewrite,[status(thm)],[])).
% 14.53/10.64 tff(23675,plain,
% 14.53/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))),
% 14.53/10.65 inference(quant_inst,[status(thm)],[])).
% 14.53/10.65 tff(23676,plain,
% 14.53/10.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2))),
% 14.53/10.65 inference(modus_ponens,[status(thm)],[23675, 23674])).
% 14.53/10.65 tff(23677,plain,
% 14.53/10.65 (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23676, 579, 23673])).
% 14.53/10.65 tff(23678,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))))),
% 14.53/10.65 inference(quant_inst,[status(thm)],[])).
% 14.53/10.65 tff(23679,plain,
% 14.53/10.65 (v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)))),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23678, 1242])).
% 14.53/10.65 tff(23680,plain,
% 14.53/10.65 ((v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex2))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23681,plain,
% 14.53/10.65 (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23680, 23555])).
% 14.53/10.65 tff(23682,plain,
% 14.53/10.65 ((~(v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))))) | (~v119(constB157)) | (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23683,plain,
% 14.53/10.65 (~v119(constB157)),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23682, 23681, 23679])).
% 14.53/10.65 tff(23684,plain,
% 14.53/10.65 (((~![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))))))),
% 14.53/10.65 inference(rewrite,[status(thm)],[])).
% 14.53/10.65 tff(23685,plain,
% 14.53/10.65 ((v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2))))) <=> (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 14.53/10.65 inference(rewrite,[status(thm)],[])).
% 14.53/10.65 tff(23686,plain,
% 14.53/10.65 (((~![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))))))),
% 14.53/10.65 inference(monotonicity,[status(thm)],[23685])).
% 14.53/10.65 tff(23687,plain,
% 14.53/10.65 (((~![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))))))),
% 14.53/10.65 inference(transitivity,[status(thm)],[23686, 23684])).
% 14.53/10.65 tff(23688,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))),
% 14.53/10.65 inference(quant_inst,[status(thm)],[])).
% 14.53/10.65 tff(23689,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 14.53/10.65 inference(modus_ponens,[status(thm)],[23688, 23687])).
% 14.53/10.65 tff(23690,plain,
% 14.53/10.65 (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23689, 2651])).
% 14.53/10.65 tff(23691,plain,
% 14.53/10.65 (((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex1))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23692,plain,
% 14.53/10.65 ((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23691, 23617])).
% 14.53/10.65 tff(23693,plain,
% 14.53/10.65 ((~(v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) | (~v124(constB157)) | (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23694,plain,
% 14.53/10.65 (~v124(constB157)),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23693, 23692, 23690])).
% 14.53/10.65 tff(23695,plain,
% 14.53/10.65 (((~![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)))))),
% 14.53/10.65 inference(rewrite,[status(thm)],[])).
% 14.53/10.65 tff(23696,plain,
% 14.53/10.65 ((v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2))))) <=> (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))),
% 14.53/10.65 inference(rewrite,[status(thm)],[])).
% 14.53/10.65 tff(23697,plain,
% 14.53/10.65 (((~![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)))))),
% 14.53/10.65 inference(monotonicity,[status(thm)],[23696])).
% 14.53/10.65 tff(23698,plain,
% 14.53/10.65 (((~![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)))))),
% 14.53/10.65 inference(transitivity,[status(thm)],[23697, 23695])).
% 14.53/10.65 tff(23699,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))),
% 14.53/10.65 inference(quant_inst,[status(thm)],[])).
% 14.53/10.65 tff(23700,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))),
% 14.53/10.65 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 14.53/10.65 tff(23701,plain,
% 14.53/10.65 (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23700, 787])).
% 14.53/10.65 tff(23702,plain,
% 14.53/10.65 (((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23703,plain,
% 14.53/10.65 ((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23702, 23617])).
% 14.53/10.65 tff(23704,plain,
% 14.53/10.65 ((~(v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))) | (~v123(constB157)) | (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23705,plain,
% 14.53/10.65 (~v123(constB157)),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23704, 23703, 23701])).
% 14.53/10.65 tff(23706,plain,
% 14.53/10.65 (((~![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))))))),
% 14.53/10.65 inference(rewrite,[status(thm)],[])).
% 14.53/10.65 tff(23707,plain,
% 14.53/10.65 ((v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1))))) <=> (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))),
% 14.53/10.65 inference(rewrite,[status(thm)],[])).
% 14.53/10.65 tff(23708,plain,
% 14.53/10.65 (((~![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))))))),
% 14.53/10.65 inference(monotonicity,[status(thm)],[23707])).
% 14.53/10.65 tff(23709,plain,
% 14.53/10.65 (((~![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))))))),
% 14.53/10.65 inference(transitivity,[status(thm)],[23708, 23706])).
% 14.53/10.65 tff(23710,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))),
% 14.53/10.65 inference(quant_inst,[status(thm)],[])).
% 14.53/10.65 tff(23711,plain,
% 14.53/10.65 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))),
% 14.53/10.65 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 14.53/10.65 tff(23712,plain,
% 14.53/10.65 (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23711, 900])).
% 14.53/10.65 tff(23713,plain,
% 14.53/10.65 ((v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2))),
% 14.53/10.65 inference(tautology,[status(thm)],[])).
% 14.53/10.65 tff(23714,plain,
% 14.53/10.65 (v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))),
% 14.53/10.65 inference(unit_resolution,[status(thm)],[23713, 23555])).
% 14.53/10.65 tff(23715,plain,
% 14.53/10.65 ((~(v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))) | (~v122(constB157)) | (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))),
% 14.60/10.66 inference(tautology,[status(thm)],[])).
% 14.60/10.66 tff(23716,plain,
% 14.60/10.66 (~v122(constB157)),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23715, 23714, 23712])).
% 14.60/10.66 tff(23717,plain,
% 14.60/10.66 (((~![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)))))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23718,plain,
% 14.60/10.66 ((v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1))))) <=> (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23719,plain,
% 14.60/10.66 (((~![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)))))),
% 14.60/10.66 inference(monotonicity,[status(thm)],[23718])).
% 14.60/10.66 tff(23720,plain,
% 14.60/10.66 (((~![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)))))),
% 14.60/10.66 inference(transitivity,[status(thm)],[23719, 23717])).
% 14.60/10.66 tff(23721,plain,
% 14.60/10.66 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))),
% 14.60/10.66 inference(quant_inst,[status(thm)],[])).
% 14.60/10.66 tff(23722,plain,
% 14.60/10.66 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 14.60/10.66 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 14.60/10.66 tff(23723,plain,
% 14.60/10.66 (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23722, 1015])).
% 14.60/10.66 tff(23724,plain,
% 14.60/10.66 ((v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2))),
% 14.60/10.66 inference(tautology,[status(thm)],[])).
% 14.60/10.66 tff(23725,plain,
% 14.60/10.66 (v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23724, 23555])).
% 14.60/10.66 tff(23726,plain,
% 14.60/10.66 ((~(v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))) | (~v121(constB157)) | (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))),
% 14.60/10.66 inference(tautology,[status(thm)],[])).
% 14.60/10.66 tff(23727,plain,
% 14.60/10.66 (~v121(constB157)),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23726, 23725, 23723])).
% 14.60/10.66 tff(23728,plain,
% 14.60/10.66 (((~![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))))))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23729,plain,
% 14.60/10.66 ((v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))))) <=> (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23730,plain,
% 14.60/10.66 (((~![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))))))),
% 14.60/10.66 inference(monotonicity,[status(thm)],[23729])).
% 14.60/10.66 tff(23731,plain,
% 14.60/10.66 (((~![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))))))),
% 14.60/10.66 inference(transitivity,[status(thm)],[23730, 23728])).
% 14.60/10.66 tff(23732,plain,
% 14.60/10.66 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))),
% 14.60/10.66 inference(quant_inst,[status(thm)],[])).
% 14.60/10.66 tff(23733,plain,
% 14.60/10.66 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 14.60/10.66 inference(modus_ponens,[status(thm)],[23732, 23731])).
% 14.60/10.66 tff(23734,plain,
% 14.60/10.66 (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23733, 1132])).
% 14.60/10.66 tff(23735,plain,
% 14.60/10.66 ((v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2))),
% 14.60/10.66 inference(tautology,[status(thm)],[])).
% 14.60/10.66 tff(23736,plain,
% 14.60/10.66 (v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23735, 23555])).
% 14.60/10.66 tff(23737,plain,
% 14.60/10.66 ((~(v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) | (~v120(constB157)) | (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 14.60/10.66 inference(tautology,[status(thm)],[])).
% 14.60/10.66 tff(23738,plain,
% 14.60/10.66 (~v120(constB157)),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23737, 23736, 23734])).
% 14.60/10.66 tff(23739,plain,
% 14.60/10.66 (((~![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(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))))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23740,plain,
% 14.60/10.66 ((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))))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23741,plain,
% 14.60/10.66 (((~![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(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)))))),
% 14.60/10.66 inference(monotonicity,[status(thm)],[23740])).
% 14.60/10.66 tff(23742,plain,
% 14.60/10.66 (((~![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(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))))),
% 14.60/10.66 inference(transitivity,[status(thm)],[23741, 23739])).
% 14.60/10.66 tff(23743,plain,
% 14.60/10.66 ((~![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(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))),
% 14.60/10.66 inference(quant_inst,[status(thm)],[])).
% 14.60/10.66 tff(23744,plain,
% 14.60/10.66 ((~![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(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))),
% 14.60/10.66 inference(modus_ponens,[status(thm)],[23743, 23742])).
% 14.60/10.66 tff(23745,plain,
% 14.60/10.66 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23744, 8006])).
% 14.60/10.66 tff(23746,plain,
% 14.60/10.66 (![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))),
% 14.60/10.66 inference(unit_resolution,[status(thm)],[23745, 23738, 23727, 23716, 23705, 23694, 23683])).
% 14.60/10.66 tff(23747,plain,
% 14.60/10.66 (((~![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)))),
% 14.60/10.66 inference(rewrite,[status(thm)],[])).
% 14.60/10.66 tff(23748,plain,
% 14.60/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b001(bitIndex2)))),
% 14.60/10.66 inference(quant_inst,[status(thm)],[])).
% 14.60/10.66 tff(23749,plain,
% 14.60/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b001(bitIndex2))),
% 14.60/10.66 inference(modus_ponens,[status(thm)],[23748, 23747])).
% 14.60/10.66 tff(23750,plain,
% 14.60/10.66 (v130(constB157, bitIndex2) <=> b001(bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23749, 579, 23746])).
% 14.61/10.66 tff(23751,plain,
% 14.61/10.66 ((~(v130(constB157, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB157, bitIndex2)) | b001(bitIndex2)),
% 14.61/10.66 inference(tautology,[status(thm)],[])).
% 14.61/10.66 tff(23752,plain,
% 14.61/10.66 ((~(v130(constB157, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB157, bitIndex2))),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23751, 1480])).
% 14.61/10.66 tff(23753,plain,
% 14.61/10.66 (~v130(constB157, bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23752, 23750])).
% 14.61/10.66 tff(23754,plain,
% 14.61/10.66 ((~(v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2))) | (~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 14.61/10.66 inference(tautology,[status(thm)],[])).
% 14.61/10.66 tff(23755,plain,
% 14.61/10.66 (~v127(constB157, bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23754, 23753, 23677])).
% 14.61/10.66 tff(23756,plain,
% 14.61/10.66 ((~(v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2))) | (~v129(constB158, bitIndex2)) | v127(constB157, bitIndex2)),
% 14.61/10.66 inference(tautology,[status(thm)],[])).
% 14.61/10.66 tff(23757,plain,
% 14.61/10.66 (~v129(constB158, bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23756, 23755, 23669])).
% 14.61/10.66 tff(23758,plain,
% 14.61/10.66 ((~(v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2)),
% 14.61/10.66 inference(tautology,[status(thm)],[])).
% 14.61/10.66 tff(23759,plain,
% 14.61/10.66 (~v90(constB158, bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23758, 23757, 23661])).
% 14.61/10.66 tff(23760,plain,
% 14.61/10.66 ((~(v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2))) | (~v90(constB159, bitIndex2)) | v90(constB158, bitIndex2)),
% 14.61/10.66 inference(tautology,[status(thm)],[])).
% 14.61/10.66 tff(23761,plain,
% 14.61/10.66 (~v90(constB159, bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23760, 23759, 19542])).
% 14.61/10.66 tff(23762,plain,
% 14.61/10.66 ((~(v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2))) | (~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2)),
% 14.61/10.66 inference(tautology,[status(thm)],[])).
% 14.61/10.66 tff(23763,plain,
% 14.61/10.66 (~v88(constB159, bitIndex2)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23762, 23761, 19510])).
% 14.61/10.66 tff(23764,plain,
% 14.61/10.66 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)))),
% 14.61/10.66 inference(rewrite,[status(thm)],[])).
% 14.61/10.66 tff(23765,plain,
% 14.61/10.66 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)))),
% 14.61/10.66 inference(quant_inst,[status(thm)],[])).
% 14.61/10.66 tff(23766,plain,
% 14.61/10.66 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0))),
% 14.61/10.66 inference(modus_ponens,[status(thm)],[23765, 23764])).
% 14.61/10.66 tff(23767,plain,
% 14.61/10.66 (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23766, 1275, 576])).
% 14.61/10.66 tff(23768,plain,
% 14.61/10.66 (((~![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)))),
% 14.61/10.66 inference(rewrite,[status(thm)],[])).
% 14.61/10.66 tff(23769,plain,
% 14.61/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))),
% 14.61/10.66 inference(quant_inst,[status(thm)],[])).
% 14.61/10.66 tff(23770,plain,
% 14.61/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0))),
% 14.61/10.66 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 14.61/10.66 tff(23771,plain,
% 14.61/10.66 (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)),
% 14.61/10.66 inference(unit_resolution,[status(thm)],[23770, 1275, 19538])).
% 14.61/10.67 tff(23772,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23773,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23774,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23773, 23772])).
% 14.61/10.67 tff(23775,plain,
% 14.61/10.67 (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23774, 1275, 23657])).
% 14.61/10.67 tff(23776,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23777,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23778,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23777, 23776])).
% 14.61/10.67 tff(23779,plain,
% 14.61/10.67 (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23778, 1275, 23665])).
% 14.61/10.67 tff(23780,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23781,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23782,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 14.61/10.67 tff(23783,plain,
% 14.61/10.67 (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23782, 1275, 23673])).
% 14.61/10.67 tff(23784,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23785,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b001(bitIndex0)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23786,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b001(bitIndex0))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23785, 23784])).
% 14.61/10.67 tff(23787,plain,
% 14.61/10.67 (v130(constB157, bitIndex0) <=> b001(bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23786, 1275, 23746])).
% 14.61/10.67 tff(23788,plain,
% 14.61/10.67 ((~(v130(constB157, bitIndex0) <=> b001(bitIndex0))) | v130(constB157, bitIndex0) | (~b001(bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23789,plain,
% 14.61/10.67 ((~(v130(constB157, bitIndex0) <=> b001(bitIndex0))) | v130(constB157, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23788, 1514])).
% 14.61/10.67 tff(23790,plain,
% 14.61/10.67 (v130(constB157, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23789, 23787])).
% 14.61/10.67 tff(23791,plain,
% 14.61/10.67 ((~(v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0))) | v127(constB157, bitIndex0) | (~v130(constB157, bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23792,plain,
% 14.61/10.67 (v127(constB157, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23791, 23790, 23783])).
% 14.61/10.67 tff(23793,plain,
% 14.61/10.67 ((~(v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0))) | v129(constB158, bitIndex0) | (~v127(constB157, bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23794,plain,
% 14.61/10.67 (v129(constB158, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23793, 23792, 23779])).
% 14.61/10.67 tff(23795,plain,
% 14.61/10.67 ((~(v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23796,plain,
% 14.61/10.67 (v90(constB158, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23795, 23794, 23775])).
% 14.61/10.67 tff(23797,plain,
% 14.61/10.67 ((~(v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0))) | v90(constB159, bitIndex0) | (~v90(constB158, bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23798,plain,
% 14.61/10.67 (v90(constB159, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23797, 23796, 23771])).
% 14.61/10.67 tff(23799,plain,
% 14.61/10.67 ((~(v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0))) | v88(constB159, bitIndex0) | (~v90(constB159, bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23800,plain,
% 14.61/10.67 (v88(constB159, bitIndex0)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23799, 23798, 23767])).
% 14.61/10.67 tff(23801,plain,
% 14.61/10.67 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23802,plain,
% 14.61/10.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23803,plain,
% 14.61/10.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 14.61/10.67 tff(23804,plain,
% 14.61/10.67 (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23803, 1288, 576])).
% 14.61/10.67 tff(23805,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23806,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23807,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 14.61/10.67 tff(23808,plain,
% 14.61/10.67 (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23807, 1288, 19538])).
% 14.61/10.67 tff(23809,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23810,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23811,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 14.61/10.67 tff(23812,plain,
% 14.61/10.67 (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23811, 1288, 23657])).
% 14.61/10.67 tff(23813,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23814,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23815,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23814, 23813])).
% 14.61/10.67 tff(23816,plain,
% 14.61/10.67 (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23815, 1288, 23665])).
% 14.61/10.67 tff(23817,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23818,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23819,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23818, 23817])).
% 14.61/10.67 tff(23820,plain,
% 14.61/10.67 (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23819, 1288, 23673])).
% 14.61/10.67 tff(23821,plain,
% 14.61/10.67 (((~![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)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23822,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b001(bitIndex1)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23823,plain,
% 14.61/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b001(bitIndex1))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23822, 23821])).
% 14.61/10.67 tff(23824,plain,
% 14.61/10.67 (v130(constB157, bitIndex1) <=> b001(bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23823, 1288, 23746])).
% 14.61/10.67 tff(23825,plain,
% 14.61/10.67 ((~(v130(constB157, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB157, bitIndex1)) | b001(bitIndex1)),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23826,plain,
% 14.61/10.67 ((~(v130(constB157, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB157, bitIndex1))),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23825, 1548])).
% 14.61/10.67 tff(23827,plain,
% 14.61/10.67 (~v130(constB157, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23826, 23824])).
% 14.61/10.67 tff(23828,plain,
% 14.61/10.67 ((~(v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1))) | (~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23829,plain,
% 14.61/10.67 (~v127(constB157, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23828, 23827, 23820])).
% 14.61/10.67 tff(23830,plain,
% 14.61/10.67 ((~(v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1))) | (~v129(constB158, bitIndex1)) | v127(constB157, bitIndex1)),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23831,plain,
% 14.61/10.67 (~v129(constB158, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23830, 23829, 23816])).
% 14.61/10.67 tff(23832,plain,
% 14.61/10.67 ((~(v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1)),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23833,plain,
% 14.61/10.67 (~v90(constB158, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23832, 23831, 23812])).
% 14.61/10.67 tff(23834,plain,
% 14.61/10.67 ((~(v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1))) | (~v90(constB159, bitIndex1)) | v90(constB158, bitIndex1)),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23835,plain,
% 14.61/10.67 (~v90(constB159, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23834, 23833, 23808])).
% 14.61/10.67 tff(23836,plain,
% 14.61/10.67 ((~(v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1))) | (~v88(constB159, bitIndex1)) | v90(constB159, bitIndex1)),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23837,plain,
% 14.61/10.67 (~v88(constB159, bitIndex1)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23836, 23835, 23804])).
% 14.61/10.67 tff(23838,plain,
% 14.61/10.67 ((~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23839,plain,
% 14.61/10.67 (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23838, 23837, 23800, 23763])).
% 14.61/10.67 tff(23840,plain,
% 14.61/10.67 ((~(v140(constB159) <=> (~(v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))))) | v140(constB159) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23841,plain,
% 14.61/10.67 (v140(constB159)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23840, 23839, 19506])).
% 14.61/10.67 tff(23842,plain,
% 14.61/10.67 ((v139(constB159) | v140(constB159)) | (~v140(constB159))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23843,plain,
% 14.61/10.67 (v139(constB159) | v140(constB159)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23842, 23841])).
% 14.61/10.67 tff(23844,plain,
% 14.61/10.67 ((~(v170(constB159) <=> (v139(constB159) | v140(constB159)))) | v170(constB159) | (~(v139(constB159) | v140(constB159)))),
% 14.61/10.67 inference(tautology,[status(thm)],[])).
% 14.61/10.67 tff(23845,plain,
% 14.61/10.67 (v170(constB159)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23844, 23843, 19499])).
% 14.61/10.67 tff(23846,plain,
% 14.61/10.67 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB159)) | (~v169(constB159)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB159)) | (~v169(constB159)))),
% 14.61/10.67 inference(rewrite,[status(thm)],[])).
% 14.61/10.67 tff(23847,plain,
% 14.61/10.67 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB159)) | (~v169(constB159)))),
% 14.61/10.67 inference(quant_inst,[status(thm)],[])).
% 14.61/10.67 tff(23848,plain,
% 14.61/10.67 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB159)) | (~v169(constB159))),
% 14.61/10.67 inference(modus_ponens,[status(thm)],[23847, 23846])).
% 14.61/10.67 tff(23849,plain,
% 14.61/10.67 ((~v170(constB159)) | (~v169(constB159))),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23848, 18673])).
% 14.61/10.67 tff(23850,plain,
% 14.61/10.67 (~v169(constB159)),
% 14.61/10.67 inference(unit_resolution,[status(thm)],[23849, 23845])).
% 14.61/10.67 tff(23851,plain,
% 14.61/10.67 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB159) <=> (v145(constB159) | v166(constB159)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23852,plain,
% 14.61/10.68 (v165(constB159) <=> (v145(constB159) | v166(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23851, 2293])).
% 14.61/10.68 tff(23853,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB159) <=> (v142(constB159) | v167(constB159)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23854,plain,
% 14.61/10.68 (v166(constB159) <=> (v142(constB159) | v167(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23853, 2804])).
% 14.61/10.68 tff(23855,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB159) <=> (v141(constB159) | v168(constB159)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23856,plain,
% 14.61/10.68 (v167(constB159) <=> (v141(constB159) | v168(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23855, 18692])).
% 14.61/10.68 tff(23857,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB159) <=> (v139(constB159) | v140(constB159)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23858,plain,
% 14.61/10.68 (v168(constB159) <=> (v139(constB159) | v140(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23857, 18701])).
% 14.61/10.68 tff(23859,plain,
% 14.61/10.68 ((~(v168(constB159) <=> (v139(constB159) | v140(constB159)))) | v168(constB159) | (~(v139(constB159) | v140(constB159)))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23860,plain,
% 14.61/10.68 (v168(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23859, 23843, 23858])).
% 14.61/10.68 tff(23861,plain,
% 14.61/10.68 ((v141(constB159) | v168(constB159)) | (~v168(constB159))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23862,plain,
% 14.61/10.68 (v141(constB159) | v168(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23861, 23860])).
% 14.61/10.68 tff(23863,plain,
% 14.61/10.68 ((~(v167(constB159) <=> (v141(constB159) | v168(constB159)))) | v167(constB159) | (~(v141(constB159) | v168(constB159)))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23864,plain,
% 14.61/10.68 (v167(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23863, 23862, 23856])).
% 14.61/10.68 tff(23865,plain,
% 14.61/10.68 ((v142(constB159) | v167(constB159)) | (~v167(constB159))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23866,plain,
% 14.61/10.68 (v142(constB159) | v167(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23865, 23864])).
% 14.61/10.68 tff(23867,plain,
% 14.61/10.68 ((~(v166(constB159) <=> (v142(constB159) | v167(constB159)))) | v166(constB159) | (~(v142(constB159) | v167(constB159)))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23868,plain,
% 14.61/10.68 (v166(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23867, 23866, 23854])).
% 14.61/10.68 tff(23869,plain,
% 14.61/10.68 ((v145(constB159) | v166(constB159)) | (~v166(constB159))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23870,plain,
% 14.61/10.68 (v145(constB159) | v166(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23869, 23868])).
% 14.61/10.68 tff(23871,plain,
% 14.61/10.68 ((~(v165(constB159) <=> (v145(constB159) | v166(constB159)))) | v165(constB159) | (~(v145(constB159) | v166(constB159)))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23872,plain,
% 14.61/10.68 (v165(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23871, 23870, 23852])).
% 14.61/10.68 tff(23873,plain,
% 14.61/10.68 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB159)) | (v162(constB159) <=> v169(constB159)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB159)) | (v162(constB159) <=> v169(constB159)))),
% 14.61/10.68 inference(rewrite,[status(thm)],[])).
% 14.61/10.68 tff(23874,plain,
% 14.61/10.68 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB159)) | (v162(constB159) <=> v169(constB159)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23875,plain,
% 14.61/10.68 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB159)) | (v162(constB159) <=> v169(constB159))),
% 14.61/10.68 inference(modus_ponens,[status(thm)],[23874, 23873])).
% 14.61/10.68 tff(23876,plain,
% 14.61/10.68 ((~v165(constB159)) | (v162(constB159) <=> v169(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23875, 2426])).
% 14.61/10.68 tff(23877,plain,
% 14.61/10.68 (v162(constB159) <=> v169(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23876, 23872])).
% 14.61/10.68 tff(23878,plain,
% 14.61/10.68 ((~(v162(constB159) <=> v169(constB159))) | (~v162(constB159)) | v169(constB159)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23879,plain,
% 14.61/10.68 (~v162(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23878, 23877, 23850])).
% 14.61/10.68 tff(23880,plain,
% 14.61/10.68 ((~(v160(constB159) <=> v162(constB159))) | (~v160(constB159)) | v162(constB159)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23881,plain,
% 14.61/10.68 ((~(v160(constB159) <=> v162(constB159))) | (~v160(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23880, 23879])).
% 14.61/10.68 tff(23882,plain,
% 14.61/10.68 (~v160(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23881, 19497])).
% 14.61/10.68 tff(23883,plain,
% 14.61/10.68 (((~v184(constB159)) | (~v160(constB159))) | v160(constB159)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23884,plain,
% 14.61/10.68 ((~v184(constB159)) | (~v160(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23883, 23882])).
% 14.61/10.68 tff(23885,plain,
% 14.61/10.68 ((~(v187(constB159) <=> (~((~v184(constB159)) | (~v160(constB159)))))) | (~v187(constB159)) | (~((~v184(constB159)) | (~v160(constB159))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23886,plain,
% 14.61/10.68 (~v187(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23885, 23884, 19495])).
% 14.61/10.68 tff(23887,plain,
% 14.61/10.68 (((~v186(constB159)) | (~v187(constB159))) | v187(constB159)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23888,plain,
% 14.61/10.68 ((~v186(constB159)) | (~v187(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23887, 23886])).
% 14.61/10.68 tff(23889,plain,
% 14.61/10.68 ((~(v185(constB159) <=> (~((~v186(constB159)) | (~v187(constB159)))))) | (~v185(constB159)) | (~((~v186(constB159)) | (~v187(constB159))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23890,plain,
% 14.61/10.68 (~v185(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23889, 23888, 19493])).
% 14.61/10.68 tff(23891,plain,
% 14.61/10.68 ((~(v181(constB159) | v185(constB159))) | v181(constB159) | v185(constB159)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23892,plain,
% 14.61/10.68 (~(v181(constB159) | v185(constB159))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23891, 23890, 19491])).
% 14.61/10.68 tff(23893,plain,
% 14.61/10.68 ((~(v178(constB159) <=> (v181(constB159) | v185(constB159)))) | (~v178(constB159)) | (v181(constB159) | v185(constB159))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23894,plain,
% 14.61/10.68 (~v178(constB159)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23893, 23892, 19415])).
% 14.61/10.68 tff(23895,plain,
% 14.61/10.68 ((~(v180(constB160) <=> v178(constB159))) | (~v180(constB160)) | v178(constB159)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23896,plain,
% 14.61/10.68 (~v180(constB160)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23895, 23894, 19413])).
% 14.61/10.68 tff(23897,plain,
% 14.61/10.68 ((~(v158(constB160) <=> v180(constB160))) | (~v158(constB160)) | v180(constB160)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23898,plain,
% 14.61/10.68 (~v158(constB160)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23897, 23896, 19406])).
% 14.61/10.68 tff(23899,plain,
% 14.61/10.68 (((~v158(constB160)) | (~v182(constB160))) | v158(constB160)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23900,plain,
% 14.61/10.68 ((~v158(constB160)) | (~v182(constB160))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23899, 23898])).
% 14.61/10.68 tff(23901,plain,
% 14.61/10.68 ((~(v181(constB160) <=> (~((~v158(constB160)) | (~v182(constB160)))))) | (~v181(constB160)) | (~((~v158(constB160)) | (~v182(constB160))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23902,plain,
% 14.61/10.68 (~v181(constB160)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23901, 23900, 19404])).
% 14.61/10.68 tff(23903,plain,
% 14.61/10.68 ((~(v181(constB160) | v185(constB160))) | v181(constB160) | v185(constB160)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23904,plain,
% 14.61/10.68 (~(v181(constB160) | v185(constB160))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23903, 23902, 19397])).
% 14.61/10.68 tff(23905,plain,
% 14.61/10.68 ((~(v178(constB160) <=> (v181(constB160) | v185(constB160)))) | (~v178(constB160)) | (v181(constB160) | v185(constB160))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23906,plain,
% 14.61/10.68 (~v178(constB160)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23905, 23904, 19369])).
% 14.61/10.68 tff(23907,plain,
% 14.61/10.68 ((~(v180(constB161) <=> v178(constB160))) | (~v180(constB161)) | v178(constB160)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23908,plain,
% 14.61/10.68 (~v180(constB161)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23907, 23906, 19367])).
% 14.61/10.68 tff(23909,plain,
% 14.61/10.68 ((~(v158(constB161) <=> v180(constB161))) | (~v158(constB161)) | v180(constB161)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23910,plain,
% 14.61/10.68 (~v158(constB161)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23909, 23908, 19360])).
% 14.61/10.68 tff(23911,plain,
% 14.61/10.68 (((~v158(constB161)) | (~v199(constB161))) | v158(constB161)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23912,plain,
% 14.61/10.68 ((~v158(constB161)) | (~v199(constB161))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23911, 23910])).
% 14.61/10.68 tff(23913,plain,
% 14.61/10.68 ((~(v198(constB161) <=> (~((~v158(constB161)) | (~v199(constB161)))))) | (~v198(constB161)) | (~((~v158(constB161)) | (~v199(constB161))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23914,plain,
% 14.61/10.68 (~v198(constB161)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23913, 23912, 19358])).
% 14.61/10.68 tff(23915,plain,
% 14.61/10.68 ((~(v197(constB161) | v198(constB161))) | v197(constB161) | v198(constB161)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23916,plain,
% 14.61/10.68 (~(v197(constB161) | v198(constB161))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23915, 23914, 19356])).
% 14.61/10.68 tff(23917,plain,
% 14.61/10.68 ((~(v194(constB161) <=> (v197(constB161) | v198(constB161)))) | (~v194(constB161)) | (v197(constB161) | v198(constB161))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23918,plain,
% 14.61/10.68 (~v194(constB161)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23917, 23916, 19285])).
% 14.61/10.68 tff(23919,plain,
% 14.61/10.68 ((~(v196(constB162) <=> v194(constB161))) | (~v196(constB162)) | v194(constB161)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23920,plain,
% 14.61/10.68 (~v196(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23919, 23918, 19283])).
% 14.61/10.68 tff(23921,plain,
% 14.61/10.68 ((~(v191(constB162) <=> v196(constB162))) | (~v191(constB162)) | v196(constB162)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23922,plain,
% 14.61/10.68 (~v191(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23921, 23920, 19276])).
% 14.61/10.68 tff(23923,plain,
% 14.61/10.68 (((~v182(constB162)) | (~v191(constB162))) | v191(constB162)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23924,plain,
% 14.61/10.68 ((~v182(constB162)) | (~v191(constB162))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23923, 23922])).
% 14.61/10.68 tff(23925,plain,
% 14.61/10.68 ((~(v197(constB162) <=> (~((~v182(constB162)) | (~v191(constB162)))))) | (~v197(constB162)) | (~((~v182(constB162)) | (~v191(constB162))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23926,plain,
% 14.61/10.68 (~v197(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23925, 23924, 19274])).
% 14.61/10.68 tff(23927,plain,
% 14.61/10.68 ((~(v197(constB162) | v198(constB162))) | v197(constB162) | v198(constB162)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23928,plain,
% 14.61/10.68 (~(v197(constB162) | v198(constB162))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23927, 23926, 19272])).
% 14.61/10.68 tff(23929,plain,
% 14.61/10.68 ((~(v194(constB162) <=> (v197(constB162) | v198(constB162)))) | (~v194(constB162)) | (v197(constB162) | v198(constB162))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23930,plain,
% 14.61/10.68 (~v194(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23929, 23928, 19238])).
% 14.61/10.68 tff(23931,plain,
% 14.61/10.68 ((~(v196(constB163) <=> v194(constB162))) | (~v196(constB163)) | v194(constB162)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23932,plain,
% 14.61/10.68 (~v196(constB163)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23931, 23930, 19236])).
% 14.61/10.68 tff(23933,plain,
% 14.61/10.68 ((~(v191(constB163) <=> v196(constB163))) | (~v191(constB163)) | v196(constB163)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23934,plain,
% 14.61/10.68 (~v191(constB163)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23933, 23932, 19229])).
% 14.61/10.68 tff(23935,plain,
% 14.61/10.68 (((~v191(constB163)) | (~v206(constB163))) | v191(constB163)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23936,plain,
% 14.61/10.68 ((~v191(constB163)) | (~v206(constB163))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23935, 23934])).
% 14.61/10.68 tff(23937,plain,
% 14.61/10.68 ((~(v209(constB163) <=> (~((~v191(constB163)) | (~v206(constB163)))))) | (~v209(constB163)) | (~((~v191(constB163)) | (~v206(constB163))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23938,plain,
% 14.61/10.68 (~v209(constB163)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23937, 23936, 19227])).
% 14.61/10.68 tff(23939,plain,
% 14.61/10.68 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163))))))),
% 14.61/10.68 inference(rewrite,[status(thm)],[])).
% 14.61/10.68 tff(23940,plain,
% 14.61/10.68 ((v205(constB163) <=> (~((~v206(constB163)) | (~v158(constB163))))) <=> (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163)))))),
% 14.61/10.68 inference(rewrite,[status(thm)],[])).
% 14.61/10.68 tff(23941,plain,
% 14.61/10.68 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v206(constB163)) | (~v158(constB163)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163))))))),
% 14.61/10.68 inference(monotonicity,[status(thm)],[23940])).
% 14.61/10.68 tff(23942,plain,
% 14.61/10.68 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v206(constB163)) | (~v158(constB163)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163))))))),
% 14.61/10.68 inference(transitivity,[status(thm)],[23941, 23939])).
% 14.61/10.68 tff(23943,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v206(constB163)) | (~v158(constB163)))))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23944,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163)))))),
% 14.61/10.68 inference(modus_ponens,[status(thm)],[23943, 23942])).
% 14.61/10.68 tff(23945,plain,
% 14.61/10.68 (v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163))))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23944, 2502])).
% 14.61/10.68 tff(23946,plain,
% 14.61/10.68 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB163) <=> v180(constB163))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23947,plain,
% 14.61/10.68 (v158(constB163) <=> v180(constB163)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23946, 358])).
% 14.61/10.68 tff(23948,plain,
% 14.61/10.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162)))),
% 14.61/10.68 inference(rewrite,[status(thm)],[])).
% 14.61/10.68 tff(23949,plain,
% 14.61/10.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23950,plain,
% 14.61/10.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162))),
% 14.61/10.68 inference(modus_ponens,[status(thm)],[23949, 23948])).
% 14.61/10.68 tff(23951,plain,
% 14.61/10.68 (v180(constB163) <=> v178(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23950, 19232, 370])).
% 14.61/10.68 tff(23952,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB162) <=> (v181(constB162) | v185(constB162)))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23953,plain,
% 14.61/10.68 (v178(constB162) <=> (v181(constB162) | v185(constB162))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23952, 384])).
% 14.61/10.68 tff(23954,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB162) <=> (~((~v186(constB162)) | (~v187(constB162)))))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23955,plain,
% 14.61/10.68 (v185(constB162) <=> (~((~v186(constB162)) | (~v187(constB162))))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23954, 396])).
% 14.61/10.68 tff(23956,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB162) <=> (~((~v184(constB162)) | (~v160(constB162)))))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23957,plain,
% 14.61/10.68 (v187(constB162) <=> (~((~v184(constB162)) | (~v160(constB162))))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23956, 408])).
% 14.61/10.68 tff(23958,plain,
% 14.61/10.68 (((~v184(constB162)) | (~v160(constB162))) | v184(constB162)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23959,plain,
% 14.61/10.68 ((~v184(constB162)) | (~v160(constB162))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23958, 19259])).
% 14.61/10.68 tff(23960,plain,
% 14.61/10.68 ((~(v187(constB162) <=> (~((~v184(constB162)) | (~v160(constB162)))))) | (~v187(constB162)) | (~((~v184(constB162)) | (~v160(constB162))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23961,plain,
% 14.61/10.68 ((~(v187(constB162) <=> (~((~v184(constB162)) | (~v160(constB162)))))) | (~v187(constB162))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23960, 23959])).
% 14.61/10.68 tff(23962,plain,
% 14.61/10.68 (~v187(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23961, 23957])).
% 14.61/10.68 tff(23963,plain,
% 14.61/10.68 (((~v186(constB162)) | (~v187(constB162))) | v187(constB162)),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23964,plain,
% 14.61/10.68 ((~v186(constB162)) | (~v187(constB162))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23963, 23962])).
% 14.61/10.68 tff(23965,plain,
% 14.61/10.68 ((~(v185(constB162) <=> (~((~v186(constB162)) | (~v187(constB162)))))) | (~v185(constB162)) | (~((~v186(constB162)) | (~v187(constB162))))),
% 14.61/10.68 inference(tautology,[status(thm)],[])).
% 14.61/10.68 tff(23966,plain,
% 14.61/10.68 (~v185(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23965, 23964, 23955])).
% 14.61/10.68 tff(23967,plain,
% 14.61/10.68 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162))))))),
% 14.61/10.68 inference(rewrite,[status(thm)],[])).
% 14.61/10.68 tff(23968,plain,
% 14.61/10.68 ((v181(constB162) <=> (~((~v182(constB162)) | (~v158(constB162))))) <=> (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162)))))),
% 14.61/10.68 inference(rewrite,[status(thm)],[])).
% 14.61/10.68 tff(23969,plain,
% 14.61/10.68 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v182(constB162)) | (~v158(constB162)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162))))))),
% 14.61/10.68 inference(monotonicity,[status(thm)],[23968])).
% 14.61/10.68 tff(23970,plain,
% 14.61/10.68 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v182(constB162)) | (~v158(constB162)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162))))))),
% 14.61/10.68 inference(transitivity,[status(thm)],[23969, 23967])).
% 14.61/10.68 tff(23971,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v182(constB162)) | (~v158(constB162)))))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23972,plain,
% 14.61/10.68 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162)))))),
% 14.61/10.68 inference(modus_ponens,[status(thm)],[23971, 23970])).
% 14.61/10.68 tff(23973,plain,
% 14.61/10.68 (v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162))))),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23972, 444])).
% 14.61/10.68 tff(23974,plain,
% 14.61/10.68 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB162) <=> v180(constB162))),
% 14.61/10.68 inference(quant_inst,[status(thm)],[])).
% 14.61/10.68 tff(23975,plain,
% 14.61/10.68 (v158(constB162) <=> v180(constB162)),
% 14.61/10.68 inference(unit_resolution,[status(thm)],[23974, 358])).
% 14.61/10.69 tff(23976,plain,
% 14.61/10.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161)))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(23977,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161)))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(23978,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[23977, 23976])).
% 14.61/10.69 tff(23979,plain,
% 14.61/10.69 (v180(constB162) <=> v178(constB161)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23978, 19279, 370])).
% 14.61/10.69 tff(23980,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB161) <=> (v181(constB161) | v185(constB161)))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(23981,plain,
% 14.61/10.69 (v178(constB161) <=> (v181(constB161) | v185(constB161))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23980, 384])).
% 14.61/10.69 tff(23982,plain,
% 14.61/10.69 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161))))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(23983,plain,
% 14.61/10.69 ((v181(constB161) <=> (~((~v182(constB161)) | (~v158(constB161))))) <=> (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161)))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(23984,plain,
% 14.61/10.69 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v182(constB161)) | (~v158(constB161)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161))))))),
% 14.61/10.69 inference(monotonicity,[status(thm)],[23983])).
% 14.61/10.69 tff(23985,plain,
% 14.61/10.69 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v182(constB161)) | (~v158(constB161)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161))))))),
% 14.61/10.69 inference(transitivity,[status(thm)],[23984, 23982])).
% 14.61/10.69 tff(23986,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v182(constB161)) | (~v158(constB161)))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(23987,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161)))))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[23986, 23985])).
% 14.61/10.69 tff(23988,plain,
% 14.61/10.69 (v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23987, 444])).
% 14.61/10.69 tff(23989,plain,
% 14.61/10.69 (((~v158(constB161)) | (~v182(constB161))) | v182(constB161)),
% 14.61/10.69 inference(tautology,[status(thm)],[])).
% 14.61/10.69 tff(23990,plain,
% 14.61/10.69 ((~v158(constB161)) | (~v182(constB161))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23989, 19352])).
% 14.61/10.69 tff(23991,plain,
% 14.61/10.69 ((~(v181(constB161) <=> (~((~v158(constB161)) | (~v182(constB161)))))) | (~v181(constB161)) | (~((~v158(constB161)) | (~v182(constB161))))),
% 14.61/10.69 inference(tautology,[status(thm)],[])).
% 14.61/10.69 tff(23992,plain,
% 14.61/10.69 (~v181(constB161)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23991, 23990, 23988])).
% 14.61/10.69 tff(23993,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB161) <=> (~((~v186(constB161)) | (~v187(constB161)))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(23994,plain,
% 14.61/10.69 (v185(constB161) <=> (~((~v186(constB161)) | (~v187(constB161))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23993, 396])).
% 14.61/10.69 tff(23995,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB161) <=> (~((~v184(constB161)) | (~v160(constB161)))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(23996,plain,
% 14.61/10.69 (v187(constB161) <=> (~((~v184(constB161)) | (~v160(constB161))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23995, 408])).
% 14.61/10.69 tff(23997,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB161) <=> v162(constB161))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(23998,plain,
% 14.61/10.69 (v160(constB161) <=> v162(constB161)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23997, 549])).
% 14.61/10.69 tff(23999,plain,
% 14.61/10.69 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24000,plain,
% 14.61/10.69 (v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[23999, 564])).
% 14.61/10.69 tff(24001,plain,
% 14.61/10.69 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB161, bitIndex0) <=> v90(constB161, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB161, bitIndex0) <=> v90(constB161, bitIndex0)))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24002,plain,
% 14.61/10.69 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB161, bitIndex0) <=> v90(constB161, bitIndex0)))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24003,plain,
% 14.61/10.69 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB161, bitIndex0) <=> v90(constB161, bitIndex0))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[24002, 24001])).
% 14.61/10.69 tff(24004,plain,
% 14.61/10.69 (v88(constB161, bitIndex0) <=> v90(constB161, bitIndex0)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24003, 1275, 576])).
% 14.61/10.69 tff(24005,plain,
% 14.61/10.69 (((~![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))))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24006,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24007,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 14.61/10.69 tff(24008,plain,
% 14.61/10.69 (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24007, 19363, 596])).
% 14.61/10.69 tff(24009,plain,
% 14.61/10.69 (((~![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))))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24010,plain,
% 14.61/10.69 (((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24011,plain,
% 14.61/10.69 (((~![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)))))))),
% 14.61/10.69 inference(monotonicity,[status(thm)],[24010])).
% 14.61/10.69 tff(24012,plain,
% 14.61/10.69 (((~![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))))))),
% 14.61/10.69 inference(transitivity,[status(thm)],[24011, 24009])).
% 14.61/10.69 tff(24013,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24014,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[24013, 24012])).
% 14.61/10.69 tff(24015,plain,
% 14.61/10.69 (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24014, 19363, 616])).
% 14.61/10.69 tff(24016,plain,
% 14.61/10.69 (((~v1(constB161)) | (~v102(constB161))) | v1(constB161)),
% 14.61/10.69 inference(tautology,[status(thm)],[])).
% 14.61/10.69 tff(24017,plain,
% 14.61/10.69 ((~v1(constB161)) | (~v102(constB161))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24016, 19338])).
% 14.61/10.69 tff(24018,plain,
% 14.61/10.69 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161)) | (~((~v1(constB161)) | (~v102(constB161))))),
% 14.61/10.69 inference(tautology,[status(thm)],[])).
% 14.61/10.69 tff(24019,plain,
% 14.61/10.69 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24018, 24017])).
% 14.61/10.69 tff(24020,plain,
% 14.61/10.69 (~v101(constB161)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24019, 24015])).
% 14.61/10.69 tff(24021,plain,
% 14.61/10.69 (((~v101(constB161)) | (~v110(constB161))) | v101(constB161)),
% 14.61/10.69 inference(tautology,[status(thm)],[])).
% 14.61/10.69 tff(24022,plain,
% 14.61/10.69 ((~v101(constB161)) | (~v110(constB161))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24021, 24020])).
% 14.61/10.69 tff(24023,plain,
% 14.61/10.69 ((~(v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))) | (~v100(constB161)) | (~((~v101(constB161)) | (~v110(constB161))))),
% 14.61/10.69 inference(tautology,[status(thm)],[])).
% 14.61/10.69 tff(24024,plain,
% 14.61/10.69 (~v100(constB161)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24023, 24022, 24008])).
% 14.61/10.69 tff(24025,plain,
% 14.61/10.69 (((~![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))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24026,plain,
% 14.61/10.69 ((~![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))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24027,plain,
% 14.61/10.69 ((~![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)))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[24026, 24025])).
% 14.61/10.69 tff(24028,plain,
% 14.61/10.69 (v100(constB161) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24027, 19363, 645])).
% 14.61/10.69 tff(24029,plain,
% 14.61/10.69 (![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24028, 24024])).
% 14.61/10.69 tff(24030,plain,
% 14.61/10.69 (((~![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)))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24031,plain,
% 14.61/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24032,plain,
% 14.61/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 14.61/10.69 tff(24033,plain,
% 14.61/10.69 (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24032, 1275, 24029])).
% 14.61/10.69 tff(24034,plain,
% 14.61/10.69 (((~![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))))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.69 tff(24035,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 14.61/10.69 inference(quant_inst,[status(thm)],[])).
% 14.61/10.69 tff(24036,plain,
% 14.61/10.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))),
% 14.61/10.69 inference(modus_ponens,[status(thm)],[24035, 24034])).
% 14.61/10.69 tff(24037,plain,
% 14.61/10.69 (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))),
% 14.61/10.69 inference(unit_resolution,[status(thm)],[24036, 19409, 596])).
% 14.61/10.69 tff(24038,plain,
% 14.61/10.69 (((~![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))))))),
% 14.61/10.69 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24039,plain,
% 14.61/10.70 (((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 14.61/10.70 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24040,plain,
% 14.61/10.70 (((~![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)))))))),
% 14.61/10.70 inference(monotonicity,[status(thm)],[24039])).
% 14.61/10.70 tff(24041,plain,
% 14.61/10.70 (((~![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))))))),
% 14.61/10.70 inference(transitivity,[status(thm)],[24040, 24038])).
% 14.61/10.70 tff(24042,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24043,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))),
% 14.61/10.70 inference(modus_ponens,[status(thm)],[24042, 24041])).
% 14.61/10.70 tff(24044,plain,
% 14.61/10.70 (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24043, 19409, 616])).
% 14.61/10.70 tff(24045,plain,
% 14.61/10.70 (((~![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)))),
% 14.61/10.70 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24046,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24047,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160))),
% 14.61/10.70 inference(modus_ponens,[status(thm)],[24046, 24045])).
% 14.61/10.70 tff(24048,plain,
% 14.61/10.70 ((~v102(constB160)) <=> v104(constB160)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24047, 19409, 678])).
% 14.61/10.70 tff(24049,plain,
% 14.61/10.70 (((~![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)))),
% 14.61/10.70 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24050,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24051,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159))),
% 14.61/10.70 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 14.61/10.70 tff(24052,plain,
% 14.61/10.70 (v104(constB160) <=> v1(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24051, 19409, 692])).
% 14.61/10.70 tff(24053,plain,
% 14.61/10.70 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160)) | v1(constB159)),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24054,plain,
% 14.61/10.70 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24053, 19473])).
% 14.61/10.70 tff(24055,plain,
% 14.61/10.70 (~v104(constB160)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24054, 24052])).
% 14.61/10.70 tff(24056,plain,
% 14.61/10.70 ((~((~v102(constB160)) <=> v104(constB160))) | v102(constB160) | v104(constB160)),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24057,plain,
% 14.61/10.70 (v102(constB160)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24056, 24055, 24048])).
% 14.61/10.70 tff(24058,plain,
% 14.61/10.70 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v1(constB160)) | (~v102(constB160))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24059,plain,
% 14.61/10.70 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v102(constB160))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24058, 19380])).
% 14.61/10.70 tff(24060,plain,
% 14.61/10.70 (~((~v1(constB160)) | (~v102(constB160)))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24059, 24057])).
% 14.61/10.70 tff(24061,plain,
% 14.61/10.70 ((~(v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))) | v101(constB160) | ((~v1(constB160)) | (~v102(constB160)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24062,plain,
% 14.61/10.70 (v101(constB160)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24061, 24060, 24044])).
% 14.61/10.70 tff(24063,plain,
% 14.61/10.70 (((~![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)))),
% 14.61/10.70 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24064,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24065,plain,
% 14.61/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159))),
% 14.61/10.70 inference(modus_ponens,[status(thm)],[24064, 24063])).
% 14.61/10.70 tff(24066,plain,
% 14.61/10.70 (v110(constB160) <=> v108(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24065, 19409, 722])).
% 14.61/10.70 tff(24067,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB159) <=> (v111(constB159) | v112(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24068,plain,
% 14.61/10.70 (v108(constB159) <=> (v111(constB159) | v112(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24067, 733])).
% 14.61/10.70 tff(24069,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24070,plain,
% 14.61/10.70 (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159))))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24069, 745])).
% 14.61/10.70 tff(24071,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB159) <=> (v114(constB159) | v125(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24072,plain,
% 14.61/10.70 (v113(constB159) <=> (v114(constB159) | v125(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24071, 754])).
% 14.61/10.70 tff(24073,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB159) <=> (v115(constB159) | v124(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24074,plain,
% 14.61/10.70 (v114(constB159) <=> (v115(constB159) | v124(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24073, 763])).
% 14.61/10.70 tff(24075,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB159) <=> (v116(constB159) | v123(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24076,plain,
% 14.61/10.70 (v115(constB159) <=> (v116(constB159) | v123(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24075, 772])).
% 14.61/10.70 tff(24077,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB159) <=> (v117(constB159) | v122(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24078,plain,
% 14.61/10.70 (v116(constB159) <=> (v117(constB159) | v122(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24077, 885])).
% 14.61/10.70 tff(24079,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB159) <=> (v118(constB159) | v121(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24080,plain,
% 14.61/10.70 (v117(constB159) <=> (v118(constB159) | v121(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24079, 1000])).
% 14.61/10.70 tff(24081,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB159) <=> (v119(constB159) | v120(constB159)))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24082,plain,
% 14.61/10.70 (v118(constB159) <=> (v119(constB159) | v120(constB159))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24081, 1117])).
% 14.61/10.70 tff(24083,plain,
% 14.61/10.70 (((~![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))))))),
% 14.61/10.70 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24084,plain,
% 14.61/10.70 ((v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0))))) <=> (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))),
% 14.61/10.70 inference(rewrite,[status(thm)],[])).
% 14.61/10.70 tff(24085,plain,
% 14.61/10.70 (((~![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))))))),
% 14.61/10.70 inference(monotonicity,[status(thm)],[24084])).
% 14.61/10.70 tff(24086,plain,
% 14.61/10.70 (((~![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))))))),
% 14.61/10.70 inference(transitivity,[status(thm)],[24085, 24083])).
% 14.61/10.70 tff(24087,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))))),
% 14.61/10.70 inference(quant_inst,[status(thm)],[])).
% 14.61/10.70 tff(24088,plain,
% 14.61/10.70 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))),
% 14.61/10.70 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 14.61/10.70 tff(24089,plain,
% 14.61/10.70 (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24088, 1132])).
% 14.61/10.70 tff(24090,plain,
% 14.61/10.70 ((~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))) | v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24091,plain,
% 14.61/10.70 (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24090, 23835, 23798, 23761])).
% 14.61/10.70 tff(24092,plain,
% 14.61/10.70 ((~(v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))) | v120(constB159) | (v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24093,plain,
% 14.61/10.70 (v120(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24092, 24091, 24089])).
% 14.61/10.70 tff(24094,plain,
% 14.61/10.70 ((v119(constB159) | v120(constB159)) | (~v120(constB159))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24095,plain,
% 14.61/10.70 (v119(constB159) | v120(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24094, 24093])).
% 14.61/10.70 tff(24096,plain,
% 14.61/10.70 ((~(v118(constB159) <=> (v119(constB159) | v120(constB159)))) | v118(constB159) | (~(v119(constB159) | v120(constB159)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24097,plain,
% 14.61/10.70 (v118(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24096, 24095, 24082])).
% 14.61/10.70 tff(24098,plain,
% 14.61/10.70 ((v118(constB159) | v121(constB159)) | (~v118(constB159))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24099,plain,
% 14.61/10.70 (v118(constB159) | v121(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24098, 24097])).
% 14.61/10.70 tff(24100,plain,
% 14.61/10.70 ((~(v117(constB159) <=> (v118(constB159) | v121(constB159)))) | v117(constB159) | (~(v118(constB159) | v121(constB159)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24101,plain,
% 14.61/10.70 (v117(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24100, 24099, 24080])).
% 14.61/10.70 tff(24102,plain,
% 14.61/10.70 ((v117(constB159) | v122(constB159)) | (~v117(constB159))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24103,plain,
% 14.61/10.70 (v117(constB159) | v122(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24102, 24101])).
% 14.61/10.70 tff(24104,plain,
% 14.61/10.70 ((~(v116(constB159) <=> (v117(constB159) | v122(constB159)))) | v116(constB159) | (~(v117(constB159) | v122(constB159)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24105,plain,
% 14.61/10.70 (v116(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24104, 24103, 24078])).
% 14.61/10.70 tff(24106,plain,
% 14.61/10.70 ((v116(constB159) | v123(constB159)) | (~v116(constB159))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24107,plain,
% 14.61/10.70 (v116(constB159) | v123(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24106, 24105])).
% 14.61/10.70 tff(24108,plain,
% 14.61/10.70 ((~(v115(constB159) <=> (v116(constB159) | v123(constB159)))) | v115(constB159) | (~(v116(constB159) | v123(constB159)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24109,plain,
% 14.61/10.70 (v115(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24108, 24107, 24076])).
% 14.61/10.70 tff(24110,plain,
% 14.61/10.70 ((v115(constB159) | v124(constB159)) | (~v115(constB159))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24111,plain,
% 14.61/10.70 (v115(constB159) | v124(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24110, 24109])).
% 14.61/10.70 tff(24112,plain,
% 14.61/10.70 ((~(v114(constB159) <=> (v115(constB159) | v124(constB159)))) | v114(constB159) | (~(v115(constB159) | v124(constB159)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24113,plain,
% 14.61/10.70 (v114(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24112, 24111, 24074])).
% 14.61/10.70 tff(24114,plain,
% 14.61/10.70 ((v114(constB159) | v125(constB159)) | (~v114(constB159))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24115,plain,
% 14.61/10.70 (v114(constB159) | v125(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24114, 24113])).
% 14.61/10.70 tff(24116,plain,
% 14.61/10.70 ((~(v113(constB159) <=> (v114(constB159) | v125(constB159)))) | v113(constB159) | (~(v114(constB159) | v125(constB159)))),
% 14.61/10.70 inference(tautology,[status(thm)],[])).
% 14.61/10.70 tff(24117,plain,
% 14.61/10.70 (v113(constB159)),
% 14.61/10.70 inference(unit_resolution,[status(thm)],[24116, 24115, 24072])).
% 14.65/10.70 tff(24118,plain,
% 14.65/10.70 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB159)) <=> v111(constB159))),
% 14.65/10.70 inference(quant_inst,[status(thm)],[])).
% 14.65/10.70 tff(24119,plain,
% 14.65/10.70 ((~v126(constB159)) <=> v111(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24118, 1345])).
% 14.65/10.70 tff(24120,plain,
% 14.65/10.70 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB159) <=> v26(constB159))),
% 14.65/10.70 inference(quant_inst,[status(thm)],[])).
% 14.65/10.70 tff(24121,plain,
% 14.65/10.70 (v111(constB159) <=> v26(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24120, 1357])).
% 14.65/10.70 tff(24122,plain,
% 14.65/10.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 14.65/10.70 inference(quant_inst,[status(thm)],[])).
% 14.65/10.70 tff(24123,plain,
% 14.65/10.70 (~v26(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24122, 1369])).
% 14.65/10.70 tff(24124,plain,
% 14.65/10.70 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159)) | v26(constB159)),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24125,plain,
% 14.65/10.70 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159))),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24124, 24123])).
% 14.65/10.70 tff(24126,plain,
% 14.65/10.70 (~v111(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24125, 24121])).
% 14.65/10.70 tff(24127,plain,
% 14.65/10.70 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159) | v111(constB159)),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24128,plain,
% 14.65/10.70 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24127, 24126])).
% 14.65/10.70 tff(24129,plain,
% 14.65/10.70 (v126(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24128, 24119])).
% 14.65/10.70 tff(24130,plain,
% 14.65/10.70 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159)) | (~v126(constB159))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24131,plain,
% 14.65/10.70 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159))),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24130, 24129])).
% 14.65/10.70 tff(24132,plain,
% 14.65/10.70 (~((~v113(constB159)) | (~v126(constB159)))),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24131, 24117])).
% 14.65/10.70 tff(24133,plain,
% 14.65/10.70 ((~(v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))) | v112(constB159) | ((~v113(constB159)) | (~v126(constB159)))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24134,plain,
% 14.65/10.70 (v112(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24133, 24132, 24070])).
% 14.65/10.70 tff(24135,plain,
% 14.65/10.70 ((v111(constB159) | v112(constB159)) | (~v112(constB159))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24136,plain,
% 14.65/10.70 (v111(constB159) | v112(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24135, 24134])).
% 14.65/10.70 tff(24137,plain,
% 14.65/10.70 ((~(v108(constB159) <=> (v111(constB159) | v112(constB159)))) | v108(constB159) | (~(v111(constB159) | v112(constB159)))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24138,plain,
% 14.65/10.70 (v108(constB159)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24137, 24136, 24068])).
% 14.65/10.70 tff(24139,plain,
% 14.65/10.70 ((~(v110(constB160) <=> v108(constB159))) | v110(constB160) | (~v108(constB159))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24140,plain,
% 14.65/10.70 (v110(constB160)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24139, 24138, 24066])).
% 14.65/10.70 tff(24141,plain,
% 14.65/10.70 ((~((~v101(constB160)) | (~v110(constB160)))) | (~v101(constB160)) | (~v110(constB160))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24142,plain,
% 14.65/10.70 (~((~v101(constB160)) | (~v110(constB160)))),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24141, 24140, 24062])).
% 14.65/10.70 tff(24143,plain,
% 14.65/10.70 ((~(v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))) | v100(constB160) | ((~v101(constB160)) | (~v110(constB160)))),
% 14.65/10.70 inference(tautology,[status(thm)],[])).
% 14.65/10.70 tff(24144,plain,
% 14.65/10.70 (v100(constB160)),
% 14.65/10.70 inference(unit_resolution,[status(thm)],[24143, 24142, 24037])).
% 14.65/10.70 tff(24145,plain,
% 14.65/10.70 (((~![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))))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24146,plain,
% 14.65/10.71 ((~![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))))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24147,plain,
% 14.65/10.71 ((~![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)))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24146, 24145])).
% 14.65/10.71 tff(24148,plain,
% 14.65/10.71 ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24147, 1405])).
% 14.65/10.71 tff(24149,plain,
% 14.65/10.71 (![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24148, 24144])).
% 14.65/10.71 tff(24150,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24151,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24152,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24151, 24150])).
% 14.65/10.71 tff(24153,plain,
% 14.65/10.71 (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24152, 1275, 24149])).
% 14.65/10.71 tff(24154,plain,
% 14.65/10.71 (((~![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))))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24155,plain,
% 14.65/10.71 ((~![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))))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24156,plain,
% 14.65/10.71 ((~![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)))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 14.65/10.71 tff(24157,plain,
% 14.65/10.71 (![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24156, 19409, 1427])).
% 14.65/10.71 tff(24158,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24159,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24160,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24159, 24158])).
% 14.65/10.71 tff(24161,plain,
% 14.65/10.71 (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24160, 1275, 24157])).
% 14.65/10.71 tff(24162,plain,
% 14.65/10.71 (((~![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))))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24163,plain,
% 14.65/10.71 ((~![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))))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24164,plain,
% 14.65/10.71 ((~![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)))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24163, 24162])).
% 14.65/10.71 tff(24165,plain,
% 14.65/10.71 (![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24164, 1448, 24126])).
% 14.65/10.71 tff(24166,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24167,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24168,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 14.65/10.71 tff(24169,plain,
% 14.65/10.71 (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24168, 1275, 24165])).
% 14.65/10.71 tff(24170,plain,
% 14.65/10.71 (((~![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))))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24171,plain,
% 14.65/10.71 ((~![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))))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24172,plain,
% 14.65/10.71 ((~![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)))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24171, 24170])).
% 14.65/10.71 tff(24173,plain,
% 14.65/10.71 ((~v120(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24172, 1652])).
% 14.65/10.71 tff(24174,plain,
% 14.65/10.71 (![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24173, 24093])).
% 14.65/10.71 tff(24175,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24176,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b010(bitIndex0)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24177,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b010(bitIndex0))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24176, 24175])).
% 14.65/10.71 tff(24178,plain,
% 14.65/10.71 (v130(constB159, bitIndex0) <=> b010(bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24177, 1275, 24174])).
% 14.65/10.71 tff(24179,plain,
% 14.65/10.71 ((~(v130(constB159, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB159, bitIndex0)) | b010(bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24180,plain,
% 14.65/10.71 ((~(v130(constB159, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB159, bitIndex0))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24179, 1698])).
% 14.65/10.71 tff(24181,plain,
% 14.65/10.71 (~v130(constB159, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24180, 24178])).
% 14.65/10.71 tff(24182,plain,
% 14.65/10.71 ((~(v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0))) | (~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24183,plain,
% 14.65/10.71 (~v127(constB159, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24182, 24181, 24169])).
% 14.65/10.71 tff(24184,plain,
% 14.65/10.71 ((~(v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0))) | (~v129(constB160, bitIndex0)) | v127(constB159, bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24185,plain,
% 14.65/10.71 (~v129(constB160, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24184, 24183, 24161])).
% 14.65/10.71 tff(24186,plain,
% 14.65/10.71 ((~(v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24187,plain,
% 14.65/10.71 (~v90(constB160, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24186, 24185, 24153])).
% 14.65/10.71 tff(24188,plain,
% 14.65/10.71 ((~(v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0))) | (~v90(constB161, bitIndex0)) | v90(constB160, bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24189,plain,
% 14.65/10.71 (~v90(constB161, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24188, 24187, 24033])).
% 14.65/10.71 tff(24190,plain,
% 14.65/10.71 ((~(v88(constB161, bitIndex0) <=> v90(constB161, bitIndex0))) | (~v88(constB161, bitIndex0)) | v90(constB161, bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24191,plain,
% 14.65/10.71 (~v88(constB161, bitIndex0)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24190, 24189, 24004])).
% 14.65/10.71 tff(24192,plain,
% 14.65/10.71 ((v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0))) | v88(constB161, bitIndex0)),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24193,plain,
% 14.65/10.71 (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24192, 24191])).
% 14.65/10.71 tff(24194,plain,
% 14.65/10.71 ((~(v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)))))) | (~v141(constB161)) | (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0))))),
% 14.65/10.71 inference(tautology,[status(thm)],[])).
% 14.65/10.71 tff(24195,plain,
% 14.65/10.71 (~v141(constB161)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24194, 24193, 24000])).
% 14.65/10.71 tff(24196,plain,
% 14.65/10.71 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB161) <=> (v139(constB161) | v140(constB161)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24197,plain,
% 14.65/10.71 (v170(constB161) <=> (v139(constB161) | v140(constB161))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24196, 2216])).
% 14.65/10.71 tff(24198,plain,
% 14.65/10.71 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2))))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24199,plain,
% 14.65/10.71 (v139(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)))),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24198, 2231])).
% 14.65/10.71 tff(24200,plain,
% 14.65/10.71 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB161, bitIndex1) <=> v90(constB161, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB161, bitIndex1) <=> v90(constB161, bitIndex1)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24201,plain,
% 14.65/10.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB161, bitIndex1) <=> v90(constB161, bitIndex1)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24202,plain,
% 14.65/10.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB161, bitIndex1) <=> v90(constB161, bitIndex1))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24201, 24200])).
% 14.65/10.71 tff(24203,plain,
% 14.65/10.71 (v88(constB161, bitIndex1) <=> v90(constB161, bitIndex1)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24202, 1288, 576])).
% 14.65/10.71 tff(24204,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24205,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24206,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24205, 24204])).
% 14.65/10.71 tff(24207,plain,
% 14.65/10.71 (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24206, 1288, 24029])).
% 14.65/10.71 tff(24208,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24209,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24210,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24209, 24208])).
% 14.65/10.71 tff(24211,plain,
% 14.65/10.71 (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)),
% 14.65/10.71 inference(unit_resolution,[status(thm)],[24210, 1288, 24149])).
% 14.65/10.71 tff(24212,plain,
% 14.65/10.71 (((~![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)))),
% 14.65/10.71 inference(rewrite,[status(thm)],[])).
% 14.65/10.71 tff(24213,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))),
% 14.65/10.71 inference(quant_inst,[status(thm)],[])).
% 14.65/10.71 tff(24214,plain,
% 14.65/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1))),
% 14.65/10.71 inference(modus_ponens,[status(thm)],[24213, 24212])).
% 14.65/10.72 tff(24215,plain,
% 14.65/10.72 (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24214, 1288, 24157])).
% 14.65/10.72 tff(24216,plain,
% 14.65/10.72 (((~![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)))),
% 14.65/10.72 inference(rewrite,[status(thm)],[])).
% 14.65/10.72 tff(24217,plain,
% 14.65/10.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24218,plain,
% 14.65/10.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1))),
% 14.65/10.72 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 14.65/10.72 tff(24219,plain,
% 14.65/10.72 (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24218, 1288, 24165])).
% 14.65/10.72 tff(24220,plain,
% 14.65/10.72 (((~![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)))),
% 14.65/10.72 inference(rewrite,[status(thm)],[])).
% 14.65/10.72 tff(24221,plain,
% 14.65/10.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b010(bitIndex1)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24222,plain,
% 14.65/10.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b010(bitIndex1))),
% 14.65/10.72 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 14.65/10.72 tff(24223,plain,
% 14.65/10.72 (v130(constB159, bitIndex1) <=> b010(bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24222, 1288, 24174])).
% 14.65/10.72 tff(24224,plain,
% 14.65/10.72 ((~(v130(constB159, bitIndex1) <=> b010(bitIndex1))) | v130(constB159, bitIndex1) | (~b010(bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24225,plain,
% 14.65/10.72 ((~(v130(constB159, bitIndex1) <=> b010(bitIndex1))) | v130(constB159, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24224, 1732])).
% 14.65/10.72 tff(24226,plain,
% 14.65/10.72 (v130(constB159, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24225, 24223])).
% 14.65/10.72 tff(24227,plain,
% 14.65/10.72 ((~(v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1))) | v127(constB159, bitIndex1) | (~v130(constB159, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24228,plain,
% 14.65/10.72 (v127(constB159, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24227, 24226, 24219])).
% 14.65/10.72 tff(24229,plain,
% 14.65/10.72 ((~(v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1))) | v129(constB160, bitIndex1) | (~v127(constB159, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24230,plain,
% 14.65/10.72 (v129(constB160, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24229, 24228, 24215])).
% 14.65/10.72 tff(24231,plain,
% 14.65/10.72 ((~(v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24232,plain,
% 14.65/10.72 (v90(constB160, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24231, 24230, 24211])).
% 14.65/10.72 tff(24233,plain,
% 14.65/10.72 ((~(v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1))) | v90(constB161, bitIndex1) | (~v90(constB160, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24234,plain,
% 14.65/10.72 (v90(constB161, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24233, 24232, 24207])).
% 14.65/10.72 tff(24235,plain,
% 14.65/10.72 ((~(v88(constB161, bitIndex1) <=> v90(constB161, bitIndex1))) | v88(constB161, bitIndex1) | (~v90(constB161, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24236,plain,
% 14.65/10.72 (v88(constB161, bitIndex1)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24235, 24234, 24203])).
% 14.65/10.72 tff(24237,plain,
% 14.65/10.72 ((v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)) | (~v88(constB161, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24238,plain,
% 14.65/10.72 (v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24237, 24236])).
% 14.65/10.72 tff(24239,plain,
% 14.65/10.72 ((~(v139(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2))))) | (~v139(constB161)) | (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24240,plain,
% 14.65/10.72 (~v139(constB161)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24239, 24238, 24199])).
% 14.65/10.72 tff(24241,plain,
% 14.65/10.72 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))))))),
% 14.65/10.72 inference(rewrite,[status(thm)],[])).
% 14.65/10.72 tff(24242,plain,
% 14.65/10.72 ((v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))) <=> (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0)))))),
% 14.65/10.72 inference(rewrite,[status(thm)],[])).
% 14.65/10.72 tff(24243,plain,
% 14.65/10.72 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))))))),
% 14.65/10.72 inference(monotonicity,[status(thm)],[24242])).
% 14.65/10.72 tff(24244,plain,
% 14.65/10.72 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))))))),
% 14.65/10.72 inference(transitivity,[status(thm)],[24243, 24241])).
% 14.65/10.72 tff(24245,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24246,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0)))))),
% 14.65/10.72 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 14.65/10.72 tff(24247,plain,
% 14.65/10.72 (v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24246, 2250])).
% 14.65/10.72 tff(24248,plain,
% 14.65/10.72 ((v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))) | (~v88(constB161, bitIndex1))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24249,plain,
% 14.65/10.72 (v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24248, 24236])).
% 14.65/10.72 tff(24250,plain,
% 14.65/10.72 ((~(v140(constB161) <=> (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0)))))) | (~v140(constB161)) | (~(v88(constB161, bitIndex2) | v88(constB161, bitIndex1) | (~v88(constB161, bitIndex0))))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24251,plain,
% 14.65/10.72 (~v140(constB161)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24250, 24249, 24247])).
% 14.65/10.72 tff(24252,plain,
% 14.65/10.72 ((~(v139(constB161) | v140(constB161))) | v139(constB161) | v140(constB161)),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24253,plain,
% 14.65/10.72 (~(v139(constB161) | v140(constB161))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24252, 24251, 24240])).
% 14.65/10.72 tff(24254,plain,
% 14.65/10.72 ((~(v170(constB161) <=> (v139(constB161) | v140(constB161)))) | (~v170(constB161)) | (v139(constB161) | v140(constB161))),
% 14.65/10.72 inference(tautology,[status(thm)],[])).
% 14.65/10.72 tff(24255,plain,
% 14.65/10.72 (~v170(constB161)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24254, 24253, 24197])).
% 14.65/10.72 tff(24256,plain,
% 14.65/10.72 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB161) | v170(constB161) | (~v169(constB161)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB161) | v170(constB161) | (~v169(constB161)))),
% 14.65/10.72 inference(rewrite,[status(thm)],[])).
% 14.65/10.72 tff(24257,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB161) | v170(constB161) | (~v169(constB161)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24258,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB161) | v170(constB161) | (~v169(constB161))),
% 14.65/10.72 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 14.65/10.72 tff(24259,plain,
% 14.65/10.72 (v141(constB161) | v170(constB161) | (~v169(constB161))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24258, 2278])).
% 14.65/10.72 tff(24260,plain,
% 14.65/10.72 (~v169(constB161)),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24259, 24255, 24195])).
% 14.65/10.72 tff(24261,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB161) <=> (v145(constB161) | v166(constB161)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24262,plain,
% 14.65/10.72 (v165(constB161) <=> (v145(constB161) | v166(constB161))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24261, 2293])).
% 14.65/10.72 tff(24263,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB161) <=> (v142(constB161) | v167(constB161)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24264,plain,
% 14.65/10.72 (v166(constB161) <=> (v142(constB161) | v167(constB161))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24263, 2804])).
% 14.65/10.72 tff(24265,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB161) <=> (v143(constB161) | v144(constB161)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24266,plain,
% 14.65/10.72 (v142(constB161) <=> (v143(constB161) | v144(constB161))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24265, 2813])).
% 14.65/10.72 tff(24267,plain,
% 14.65/10.72 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24268,plain,
% 14.65/10.72 (v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1))))),
% 14.65/10.72 inference(unit_resolution,[status(thm)],[24267, 16089])).
% 14.65/10.72 tff(24269,plain,
% 14.65/10.72 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB161, bitIndex2) <=> v90(constB161, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB161, bitIndex2) <=> v90(constB161, bitIndex2)))),
% 14.65/10.72 inference(rewrite,[status(thm)],[])).
% 14.65/10.72 tff(24270,plain,
% 14.65/10.72 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB161, bitIndex2) <=> v90(constB161, bitIndex2)))),
% 14.65/10.72 inference(quant_inst,[status(thm)],[])).
% 14.65/10.72 tff(24271,plain,
% 14.65/10.72 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB161, bitIndex2) <=> v90(constB161, bitIndex2))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24270, 24269])).
% 14.65/10.73 tff(24272,plain,
% 14.65/10.73 (v88(constB161, bitIndex2) <=> v90(constB161, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24271, 579, 576])).
% 14.65/10.73 tff(24273,plain,
% 14.65/10.73 (((~![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)))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24274,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24275,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 14.65/10.73 tff(24276,plain,
% 14.65/10.73 (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24275, 579, 24029])).
% 14.65/10.73 tff(24277,plain,
% 14.65/10.73 (((~![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)))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24278,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24279,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24278, 24277])).
% 14.65/10.73 tff(24280,plain,
% 14.65/10.73 (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24279, 579, 24149])).
% 14.65/10.73 tff(24281,plain,
% 14.65/10.73 (((~![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)))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24282,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24283,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24282, 24281])).
% 14.65/10.73 tff(24284,plain,
% 14.65/10.73 (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24283, 579, 24157])).
% 14.65/10.73 tff(24285,plain,
% 14.65/10.73 (((~![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)))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24286,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24287,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24286, 24285])).
% 14.65/10.73 tff(24288,plain,
% 14.65/10.73 (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24287, 579, 24165])).
% 14.65/10.73 tff(24289,plain,
% 14.65/10.73 (((~![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)))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24290,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b010(bitIndex2)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24291,plain,
% 14.65/10.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b010(bitIndex2))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 14.65/10.73 tff(24292,plain,
% 14.65/10.73 (v130(constB159, bitIndex2) <=> b010(bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24291, 579, 24174])).
% 14.65/10.73 tff(24293,plain,
% 14.65/10.73 ((~(v130(constB159, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB159, bitIndex2)) | b010(bitIndex2)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24294,plain,
% 14.65/10.73 ((~(v130(constB159, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB159, bitIndex2))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24293, 1664])).
% 14.65/10.73 tff(24295,plain,
% 14.65/10.73 (~v130(constB159, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24294, 24292])).
% 14.65/10.73 tff(24296,plain,
% 14.65/10.73 ((~(v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2))) | (~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24297,plain,
% 14.65/10.73 (~v127(constB159, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24296, 24295, 24288])).
% 14.65/10.73 tff(24298,plain,
% 14.65/10.73 ((~(v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2))) | (~v129(constB160, bitIndex2)) | v127(constB159, bitIndex2)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24299,plain,
% 14.65/10.73 (~v129(constB160, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24298, 24297, 24284])).
% 14.65/10.73 tff(24300,plain,
% 14.65/10.73 ((~(v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24301,plain,
% 14.65/10.73 (~v90(constB160, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24300, 24299, 24280])).
% 14.65/10.73 tff(24302,plain,
% 14.65/10.73 ((~(v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2))) | (~v90(constB161, bitIndex2)) | v90(constB160, bitIndex2)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24303,plain,
% 14.65/10.73 (~v90(constB161, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24302, 24301, 24276])).
% 14.65/10.73 tff(24304,plain,
% 14.65/10.73 ((~(v88(constB161, bitIndex2) <=> v90(constB161, bitIndex2))) | (~v88(constB161, bitIndex2)) | v90(constB161, bitIndex2)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24305,plain,
% 14.65/10.73 (~v88(constB161, bitIndex2)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24304, 24303, 24272])).
% 14.65/10.73 tff(24306,plain,
% 14.65/10.73 ((~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))) | v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24307,plain,
% 14.65/10.73 (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24306, 24236, 24191, 24305])).
% 14.65/10.73 tff(24308,plain,
% 14.65/10.73 ((~(v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))))) | v143(constB161) | (v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24309,plain,
% 14.65/10.73 (v143(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24308, 24307, 24268])).
% 14.65/10.73 tff(24310,plain,
% 14.65/10.73 ((v143(constB161) | v144(constB161)) | (~v143(constB161))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24311,plain,
% 14.65/10.73 (v143(constB161) | v144(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24310, 24309])).
% 14.65/10.73 tff(24312,plain,
% 14.65/10.73 ((~(v142(constB161) <=> (v143(constB161) | v144(constB161)))) | v142(constB161) | (~(v143(constB161) | v144(constB161)))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24313,plain,
% 14.65/10.73 (v142(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24312, 24311, 24266])).
% 14.65/10.73 tff(24314,plain,
% 14.65/10.73 ((v142(constB161) | v167(constB161)) | (~v142(constB161))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24315,plain,
% 14.65/10.73 (v142(constB161) | v167(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24314, 24313])).
% 14.65/10.73 tff(24316,plain,
% 14.65/10.73 ((~(v166(constB161) <=> (v142(constB161) | v167(constB161)))) | v166(constB161) | (~(v142(constB161) | v167(constB161)))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24317,plain,
% 14.65/10.73 (v166(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24316, 24315, 24264])).
% 14.65/10.73 tff(24318,plain,
% 14.65/10.73 ((v145(constB161) | v166(constB161)) | (~v166(constB161))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24319,plain,
% 14.65/10.73 (v145(constB161) | v166(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24318, 24317])).
% 14.65/10.73 tff(24320,plain,
% 14.65/10.73 ((~(v165(constB161) <=> (v145(constB161) | v166(constB161)))) | v165(constB161) | (~(v145(constB161) | v166(constB161)))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24321,plain,
% 14.65/10.73 (v165(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24320, 24319, 24262])).
% 14.65/10.73 tff(24322,plain,
% 14.65/10.73 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB161)) | (v162(constB161) <=> v169(constB161)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB161)) | (v162(constB161) <=> v169(constB161)))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24323,plain,
% 14.65/10.73 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB161)) | (v162(constB161) <=> v169(constB161)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24324,plain,
% 14.65/10.73 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB161)) | (v162(constB161) <=> v169(constB161))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 14.65/10.73 tff(24325,plain,
% 14.65/10.73 ((~v165(constB161)) | (v162(constB161) <=> v169(constB161))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24324, 2426])).
% 14.65/10.73 tff(24326,plain,
% 14.65/10.73 (v162(constB161) <=> v169(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24325, 24321])).
% 14.65/10.73 tff(24327,plain,
% 14.65/10.73 ((~(v162(constB161) <=> v169(constB161))) | (~v162(constB161)) | v169(constB161)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24328,plain,
% 14.65/10.73 (~v162(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24327, 24326, 24260])).
% 14.65/10.73 tff(24329,plain,
% 14.65/10.73 ((~(v160(constB161) <=> v162(constB161))) | (~v160(constB161)) | v162(constB161)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24330,plain,
% 14.65/10.73 ((~(v160(constB161) <=> v162(constB161))) | (~v160(constB161))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24329, 24328])).
% 14.65/10.73 tff(24331,plain,
% 14.65/10.73 (~v160(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24330, 23998])).
% 14.65/10.73 tff(24332,plain,
% 14.65/10.73 (((~v184(constB161)) | (~v160(constB161))) | v160(constB161)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24333,plain,
% 14.65/10.73 ((~v184(constB161)) | (~v160(constB161))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24332, 24331])).
% 14.65/10.73 tff(24334,plain,
% 14.65/10.73 ((~(v187(constB161) <=> (~((~v184(constB161)) | (~v160(constB161)))))) | (~v187(constB161)) | (~((~v184(constB161)) | (~v160(constB161))))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24335,plain,
% 14.65/10.73 (~v187(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24334, 24333, 23996])).
% 14.65/10.73 tff(24336,plain,
% 14.65/10.73 (((~v186(constB161)) | (~v187(constB161))) | v187(constB161)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24337,plain,
% 14.65/10.73 ((~v186(constB161)) | (~v187(constB161))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24336, 24335])).
% 14.65/10.73 tff(24338,plain,
% 14.65/10.73 ((~(v185(constB161) <=> (~((~v186(constB161)) | (~v187(constB161)))))) | (~v185(constB161)) | (~((~v186(constB161)) | (~v187(constB161))))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24339,plain,
% 14.65/10.73 (~v185(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24338, 24337, 23994])).
% 14.65/10.73 tff(24340,plain,
% 14.65/10.73 ((~(v181(constB161) | v185(constB161))) | v181(constB161) | v185(constB161)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24341,plain,
% 14.65/10.73 (~(v181(constB161) | v185(constB161))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24340, 24339, 23992])).
% 14.65/10.73 tff(24342,plain,
% 14.65/10.73 ((~(v178(constB161) <=> (v181(constB161) | v185(constB161)))) | (~v178(constB161)) | (v181(constB161) | v185(constB161))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24343,plain,
% 14.65/10.73 (~v178(constB161)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24342, 24341, 23981])).
% 14.65/10.73 tff(24344,plain,
% 14.65/10.73 ((~(v180(constB162) <=> v178(constB161))) | (~v180(constB162)) | v178(constB161)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24345,plain,
% 14.65/10.73 (~v180(constB162)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24344, 24343, 23979])).
% 14.65/10.73 tff(24346,plain,
% 14.65/10.73 ((~(v158(constB162) <=> v180(constB162))) | (~v158(constB162)) | v180(constB162)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24347,plain,
% 14.65/10.73 (~v158(constB162)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24346, 24345, 23975])).
% 14.65/10.73 tff(24348,plain,
% 14.65/10.73 (((~v158(constB162)) | (~v182(constB162))) | v158(constB162)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24349,plain,
% 14.65/10.73 ((~v158(constB162)) | (~v182(constB162))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24348, 24347])).
% 14.65/10.73 tff(24350,plain,
% 14.65/10.73 ((~(v181(constB162) <=> (~((~v158(constB162)) | (~v182(constB162)))))) | (~v181(constB162)) | (~((~v158(constB162)) | (~v182(constB162))))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24351,plain,
% 14.65/10.73 (~v181(constB162)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24350, 24349, 23973])).
% 14.65/10.73 tff(24352,plain,
% 14.65/10.73 ((~(v181(constB162) | v185(constB162))) | v181(constB162) | v185(constB162)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24353,plain,
% 14.65/10.73 (~(v181(constB162) | v185(constB162))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24352, 24351, 23966])).
% 14.65/10.73 tff(24354,plain,
% 14.65/10.73 ((~(v178(constB162) <=> (v181(constB162) | v185(constB162)))) | (~v178(constB162)) | (v181(constB162) | v185(constB162))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24355,plain,
% 14.65/10.73 (~v178(constB162)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24354, 24353, 23953])).
% 14.65/10.73 tff(24356,plain,
% 14.65/10.73 ((~(v180(constB163) <=> v178(constB162))) | (~v180(constB163)) | v178(constB162)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24357,plain,
% 14.65/10.73 (~v180(constB163)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24356, 24355, 23951])).
% 14.65/10.73 tff(24358,plain,
% 14.65/10.73 ((~(v158(constB163) <=> v180(constB163))) | (~v158(constB163)) | v180(constB163)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24359,plain,
% 14.65/10.73 (~v158(constB163)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24358, 24357, 23947])).
% 14.65/10.73 tff(24360,plain,
% 14.65/10.73 (((~v158(constB163)) | (~v206(constB163))) | v158(constB163)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24361,plain,
% 14.65/10.73 ((~v158(constB163)) | (~v206(constB163))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24360, 24359])).
% 14.65/10.73 tff(24362,plain,
% 14.65/10.73 ((~(v205(constB163) <=> (~((~v158(constB163)) | (~v206(constB163)))))) | (~v205(constB163)) | (~((~v158(constB163)) | (~v206(constB163))))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24363,plain,
% 14.65/10.73 (~v205(constB163)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24362, 24361, 23945])).
% 14.65/10.73 tff(24364,plain,
% 14.65/10.73 ((~(v205(constB163) | v209(constB163))) | v205(constB163) | v209(constB163)),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24365,plain,
% 14.65/10.73 (~(v205(constB163) | v209(constB163))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24364, 24363, 23938])).
% 14.65/10.73 tff(24366,plain,
% 14.65/10.73 ((~(v204(constB163) <=> (v205(constB163) | v209(constB163)))) | (~v204(constB163)) | (v205(constB163) | v209(constB163))),
% 14.65/10.73 inference(tautology,[status(thm)],[])).
% 14.65/10.73 tff(24367,plain,
% 14.65/10.73 (~v204(constB163)),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24366, 24365, 19220])).
% 14.65/10.73 tff(24368,plain,
% 14.65/10.73 ($false),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24367, 19218])).
% 14.65/10.73 tff(24369,plain,(~(constB163 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.65/10.73 tff(24370,assumption,(constB90 = VarCurr!0), introduced(assumption)).
% 14.65/10.73 tff(24371,plain,
% 14.65/10.73 (v204(constB90) <=> v204(VarCurr!0)),
% 14.65/10.73 inference(monotonicity,[status(thm)],[24370])).
% 14.65/10.73 tff(24372,plain,
% 14.65/10.73 (v204(VarCurr!0) <=> v204(constB90)),
% 14.65/10.73 inference(symmetry,[status(thm)],[24371])).
% 14.65/10.73 tff(24373,plain,
% 14.65/10.73 (v204(constB90)),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[27, 24372])).
% 14.65/10.73 tff(24374,plain,
% 14.65/10.73 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB90) <=> (v205(constB90) | v209(constB90)))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24375,plain,
% 14.65/10.73 (v204(constB90) <=> (v205(constB90) | v209(constB90))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24374, 35])).
% 14.65/10.73 tff(24376,plain,
% 14.65/10.73 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90))))))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24377,plain,
% 14.65/10.73 ((v209(constB90) <=> (~((~v206(constB90)) | (~v191(constB90))))) <=> (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90)))))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24378,plain,
% 14.65/10.73 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v206(constB90)) | (~v191(constB90)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90))))))),
% 14.65/10.73 inference(monotonicity,[status(thm)],[24377])).
% 14.65/10.73 tff(24379,plain,
% 14.65/10.73 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v206(constB90)) | (~v191(constB90)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90))))))),
% 14.65/10.73 inference(transitivity,[status(thm)],[24378, 24376])).
% 14.65/10.73 tff(24380,plain,
% 14.65/10.73 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v206(constB90)) | (~v191(constB90)))))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24381,plain,
% 14.65/10.73 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90)))))),
% 14.65/10.73 inference(modus_ponens,[status(thm)],[24380, 24379])).
% 14.65/10.73 tff(24382,plain,
% 14.65/10.73 (v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90))))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24381, 47])).
% 14.65/10.73 tff(24383,plain,
% 14.65/10.73 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB90) <=> (~((~v186(constB90)) | (~v207(constB90)))))),
% 14.65/10.73 inference(quant_inst,[status(thm)],[])).
% 14.65/10.73 tff(24384,plain,
% 14.65/10.73 (v206(constB90) <=> (~((~v186(constB90)) | (~v207(constB90))))),
% 14.65/10.73 inference(unit_resolution,[status(thm)],[24383, 16227])).
% 14.65/10.73 tff(24385,plain,
% 14.65/10.73 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90))))))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24386,plain,
% 14.65/10.73 ((v207(constB90) <=> (~((~v208(constB90)) | (~v184(constB90))))) <=> (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90)))))),
% 14.65/10.73 inference(rewrite,[status(thm)],[])).
% 14.65/10.73 tff(24387,plain,
% 14.65/10.73 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v208(constB90)) | (~v184(constB90)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90))))))),
% 14.65/10.74 inference(monotonicity,[status(thm)],[24386])).
% 14.65/10.74 tff(24388,plain,
% 14.65/10.74 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v208(constB90)) | (~v184(constB90)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90))))))),
% 14.65/10.74 inference(transitivity,[status(thm)],[24387, 24385])).
% 14.65/10.74 tff(24389,plain,
% 14.65/10.74 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v208(constB90)) | (~v184(constB90)))))),
% 14.65/10.74 inference(quant_inst,[status(thm)],[])).
% 14.65/10.74 tff(24390,plain,
% 14.65/10.74 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90)))))),
% 14.65/10.74 inference(modus_ponens,[status(thm)],[24389, 24388])).
% 14.65/10.74 tff(24391,plain,
% 14.65/10.74 (v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90))))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24390, 16239])).
% 14.65/10.74 tff(24392,plain,
% 14.65/10.74 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 14.65/10.74 inference(quant_inst,[status(thm)],[])).
% 14.65/10.74 tff(24393,plain,
% 14.65/10.74 (v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24392, 138])).
% 14.65/10.74 tff(24394,plain,
% 14.65/10.74 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 14.65/10.74 inference(quant_inst,[status(thm)],[])).
% 14.65/10.74 tff(24395,plain,
% 14.65/10.74 ((~v39(constB90)) <=> v1(constB90)),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24394, 147])).
% 14.65/10.74 tff(24396,plain,
% 14.65/10.74 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24397,plain,
% 14.65/10.74 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24396, 4355])).
% 14.65/10.74 tff(24398,plain,
% 14.65/10.74 (~v39(constB90)),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24397, 24395])).
% 14.65/10.74 tff(24399,plain,
% 14.65/10.74 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24400,plain,
% 14.65/10.74 ((~v39(constB90)) | (~v9(constB90))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24399, 24398])).
% 14.65/10.74 tff(24401,plain,
% 14.65/10.74 ((~(v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v184(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24402,plain,
% 14.65/10.74 ((~(v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v184(constB90))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24401, 24400])).
% 14.65/10.74 tff(24403,plain,
% 14.65/10.74 (~v184(constB90)),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24402, 24393])).
% 14.65/10.74 tff(24404,plain,
% 14.65/10.74 (((~v184(constB90)) | (~v208(constB90))) | v184(constB90)),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24405,plain,
% 14.65/10.74 ((~v184(constB90)) | (~v208(constB90))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24404, 24403])).
% 14.65/10.74 tff(24406,plain,
% 14.65/10.74 ((~(v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90)))))) | (~v207(constB90)) | (~((~v184(constB90)) | (~v208(constB90))))),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24407,plain,
% 14.65/10.74 ((~(v207(constB90) <=> (~((~v184(constB90)) | (~v208(constB90)))))) | (~v207(constB90))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24406, 24405])).
% 14.65/10.74 tff(24408,plain,
% 14.65/10.74 (~v207(constB90)),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24407, 24391])).
% 14.65/10.74 tff(24409,plain,
% 14.65/10.74 (((~v186(constB90)) | (~v207(constB90))) | v207(constB90)),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24410,plain,
% 14.65/10.74 ((~v186(constB90)) | (~v207(constB90))),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24409, 24408])).
% 14.65/10.74 tff(24411,plain,
% 14.65/10.74 ((~(v206(constB90) <=> (~((~v186(constB90)) | (~v207(constB90)))))) | (~v206(constB90)) | (~((~v186(constB90)) | (~v207(constB90))))),
% 14.65/10.74 inference(tautology,[status(thm)],[])).
% 14.65/10.74 tff(24412,plain,
% 14.65/10.74 (~v206(constB90)),
% 14.65/10.74 inference(unit_resolution,[status(thm)],[24411, 24410, 24384])).
% 14.65/10.74 tff(24413,plain,
% 14.65/10.74 (((~v191(constB90)) | (~v206(constB90))) | v206(constB90)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24414,plain,
% 14.68/10.74 ((~v191(constB90)) | (~v206(constB90))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24413, 24412])).
% 14.68/10.74 tff(24415,plain,
% 14.68/10.74 ((~(v209(constB90) <=> (~((~v191(constB90)) | (~v206(constB90)))))) | (~v209(constB90)) | (~((~v191(constB90)) | (~v206(constB90))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24416,plain,
% 14.68/10.74 (~v209(constB90)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24415, 24414, 24382])).
% 14.68/10.74 tff(24417,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90))))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24418,plain,
% 14.68/10.74 ((v205(constB90) <=> (~((~v206(constB90)) | (~v158(constB90))))) <=> (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90)))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24419,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v206(constB90)) | (~v158(constB90)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90))))))),
% 14.68/10.74 inference(monotonicity,[status(thm)],[24418])).
% 14.68/10.74 tff(24420,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v206(constB90)) | (~v158(constB90)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90))))))),
% 14.68/10.74 inference(transitivity,[status(thm)],[24419, 24417])).
% 14.68/10.74 tff(24421,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v206(constB90)) | (~v158(constB90)))))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24422,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90)))))),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[24421, 24420])).
% 14.68/10.74 tff(24423,plain,
% 14.68/10.74 (v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90))))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24422, 2502])).
% 14.68/10.74 tff(24424,plain,
% 14.68/10.74 (((~v158(constB90)) | (~v206(constB90))) | v206(constB90)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24425,plain,
% 14.68/10.74 ((~v158(constB90)) | (~v206(constB90))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24424, 24412])).
% 14.68/10.74 tff(24426,plain,
% 14.68/10.74 ((~(v205(constB90) <=> (~((~v158(constB90)) | (~v206(constB90)))))) | (~v205(constB90)) | (~((~v158(constB90)) | (~v206(constB90))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24427,plain,
% 14.68/10.74 (~v205(constB90)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24426, 24425, 24423])).
% 14.68/10.74 tff(24428,plain,
% 14.68/10.74 ((~(v205(constB90) | v209(constB90))) | v205(constB90) | v209(constB90)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24429,plain,
% 14.68/10.74 (~(v205(constB90) | v209(constB90))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24428, 24427, 24416])).
% 14.68/10.74 tff(24430,plain,
% 14.68/10.74 ((~(v204(constB90) <=> (v205(constB90) | v209(constB90)))) | (~v204(constB90)) | (v205(constB90) | v209(constB90))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24431,plain,
% 14.68/10.74 ((~(v204(constB90) <=> (v205(constB90) | v209(constB90)))) | (~v204(constB90))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24430, 24429])).
% 14.68/10.74 tff(24432,plain,
% 14.68/10.74 (~v204(constB90)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24431, 24375])).
% 14.68/10.74 tff(24433,plain,
% 14.68/10.74 ($false),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24432, 24373])).
% 14.68/10.74 tff(24434,plain,(~(constB90 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.74 tff(24435,assumption,(constB172 = VarCurr!0), introduced(assumption)).
% 14.68/10.74 tff(24436,plain,
% 14.68/10.74 (v204(constB172) <=> v204(VarCurr!0)),
% 14.68/10.74 inference(monotonicity,[status(thm)],[24435])).
% 14.68/10.74 tff(24437,plain,
% 14.68/10.74 (v204(VarCurr!0) <=> v204(constB172)),
% 14.68/10.74 inference(symmetry,[status(thm)],[24436])).
% 14.68/10.74 tff(24438,plain,
% 14.68/10.74 (v204(constB172)),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[27, 24437])).
% 14.68/10.74 tff(24439,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB172) <=> (v205(constB172) | v209(constB172)))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24440,plain,
% 14.68/10.74 (v204(constB172) <=> (v205(constB172) | v209(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24439, 35])).
% 14.68/10.74 tff(24441,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172))))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24442,plain,
% 14.68/10.74 ((v209(constB172) <=> (~((~v206(constB172)) | (~v191(constB172))))) <=> (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172)))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24443,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v206(constB172)) | (~v191(constB172)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172))))))),
% 14.68/10.74 inference(monotonicity,[status(thm)],[24442])).
% 14.68/10.74 tff(24444,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v206(constB172)) | (~v191(constB172)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172))))))),
% 14.68/10.74 inference(transitivity,[status(thm)],[24443, 24441])).
% 14.68/10.74 tff(24445,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v206(constB172)) | (~v191(constB172)))))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24446,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172)))))),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 14.68/10.74 tff(24447,plain,
% 14.68/10.74 (v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172))))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24446, 47])).
% 14.68/10.74 tff(24448,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB172) <=> (~((~v186(constB172)) | (~v207(constB172)))))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24449,plain,
% 14.68/10.74 (v206(constB172) <=> (~((~v186(constB172)) | (~v207(constB172))))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24448, 16227])).
% 14.68/10.74 tff(24450,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172))))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24451,plain,
% 14.68/10.74 ((v207(constB172) <=> (~((~v208(constB172)) | (~v184(constB172))))) <=> (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172)))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24452,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v208(constB172)) | (~v184(constB172)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172))))))),
% 14.68/10.74 inference(monotonicity,[status(thm)],[24451])).
% 14.68/10.74 tff(24453,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v208(constB172)) | (~v184(constB172)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172))))))),
% 14.68/10.74 inference(transitivity,[status(thm)],[24452, 24450])).
% 14.68/10.74 tff(24454,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v208(constB172)) | (~v184(constB172)))))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24455,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172)))))),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 14.68/10.74 tff(24456,plain,
% 14.68/10.74 (v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172))))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24455, 16239])).
% 14.68/10.74 tff(24457,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24458,plain,
% 14.68/10.74 (v184(constB172) <=> (~((~v39(constB172)) | (~v9(constB172))))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24457, 138])).
% 14.68/10.74 tff(24459,plain,
% 14.68/10.74 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB172)) <=> v1(constB172))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24460,plain,
% 14.68/10.74 ((~v39(constB172)) <=> v1(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24459, 147])).
% 14.68/10.74 tff(24461,plain,
% 14.68/10.74 (v1(constB172) <=> v1(constB172)),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24462,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172')).
% 14.68/10.74 tff(24463,plain,
% 14.68/10.74 (v1(constB172)),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[24462, 24461])).
% 14.68/10.74 tff(24464,plain,
% 14.68/10.74 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172)) | (~v1(constB172))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24465,plain,
% 14.68/10.74 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24464, 24463])).
% 14.68/10.74 tff(24466,plain,
% 14.68/10.74 (~v39(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24465, 24460])).
% 14.68/10.74 tff(24467,plain,
% 14.68/10.74 (((~v39(constB172)) | (~v9(constB172))) | v39(constB172)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24468,plain,
% 14.68/10.74 ((~v39(constB172)) | (~v9(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24467, 24466])).
% 14.68/10.74 tff(24469,plain,
% 14.68/10.74 ((~(v184(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v184(constB172)) | (~((~v39(constB172)) | (~v9(constB172))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24470,plain,
% 14.68/10.74 ((~(v184(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v184(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24469, 24468])).
% 14.68/10.74 tff(24471,plain,
% 14.68/10.74 (~v184(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24470, 24458])).
% 14.68/10.74 tff(24472,plain,
% 14.68/10.74 (((~v184(constB172)) | (~v208(constB172))) | v184(constB172)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24473,plain,
% 14.68/10.74 ((~v184(constB172)) | (~v208(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24472, 24471])).
% 14.68/10.74 tff(24474,plain,
% 14.68/10.74 ((~(v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172)))))) | (~v207(constB172)) | (~((~v184(constB172)) | (~v208(constB172))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24475,plain,
% 14.68/10.74 ((~(v207(constB172) <=> (~((~v184(constB172)) | (~v208(constB172)))))) | (~v207(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24474, 24473])).
% 14.68/10.74 tff(24476,plain,
% 14.68/10.74 (~v207(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24475, 24456])).
% 14.68/10.74 tff(24477,plain,
% 14.68/10.74 (((~v186(constB172)) | (~v207(constB172))) | v207(constB172)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24478,plain,
% 14.68/10.74 ((~v186(constB172)) | (~v207(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24477, 24476])).
% 14.68/10.74 tff(24479,plain,
% 14.68/10.74 ((~(v206(constB172) <=> (~((~v186(constB172)) | (~v207(constB172)))))) | (~v206(constB172)) | (~((~v186(constB172)) | (~v207(constB172))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24480,plain,
% 14.68/10.74 (~v206(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24479, 24478, 24449])).
% 14.68/10.74 tff(24481,plain,
% 14.68/10.74 (((~v191(constB172)) | (~v206(constB172))) | v206(constB172)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24482,plain,
% 14.68/10.74 ((~v191(constB172)) | (~v206(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24481, 24480])).
% 14.68/10.74 tff(24483,plain,
% 14.68/10.74 ((~(v209(constB172) <=> (~((~v191(constB172)) | (~v206(constB172)))))) | (~v209(constB172)) | (~((~v191(constB172)) | (~v206(constB172))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24484,plain,
% 14.68/10.74 (~v209(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24483, 24482, 24447])).
% 14.68/10.74 tff(24485,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172))))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24486,plain,
% 14.68/10.74 ((v205(constB172) <=> (~((~v206(constB172)) | (~v158(constB172))))) <=> (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172)))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24487,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v206(constB172)) | (~v158(constB172)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172))))))),
% 14.68/10.74 inference(monotonicity,[status(thm)],[24486])).
% 14.68/10.74 tff(24488,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v206(constB172)) | (~v158(constB172)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172))))))),
% 14.68/10.74 inference(transitivity,[status(thm)],[24487, 24485])).
% 14.68/10.74 tff(24489,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v206(constB172)) | (~v158(constB172)))))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24490,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172)))))),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[24489, 24488])).
% 14.68/10.74 tff(24491,plain,
% 14.68/10.74 (v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172))))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24490, 2502])).
% 14.68/10.74 tff(24492,plain,
% 14.68/10.74 (((~v158(constB172)) | (~v206(constB172))) | v206(constB172)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24493,plain,
% 14.68/10.74 ((~v158(constB172)) | (~v206(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24492, 24480])).
% 14.68/10.74 tff(24494,plain,
% 14.68/10.74 ((~(v205(constB172) <=> (~((~v158(constB172)) | (~v206(constB172)))))) | (~v205(constB172)) | (~((~v158(constB172)) | (~v206(constB172))))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24495,plain,
% 14.68/10.74 (~v205(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24494, 24493, 24491])).
% 14.68/10.74 tff(24496,plain,
% 14.68/10.74 ((~(v205(constB172) | v209(constB172))) | v205(constB172) | v209(constB172)),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24497,plain,
% 14.68/10.74 (~(v205(constB172) | v209(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24496, 24495, 24484])).
% 14.68/10.74 tff(24498,plain,
% 14.68/10.74 ((~(v204(constB172) <=> (v205(constB172) | v209(constB172)))) | (~v204(constB172)) | (v205(constB172) | v209(constB172))),
% 14.68/10.74 inference(tautology,[status(thm)],[])).
% 14.68/10.74 tff(24499,plain,
% 14.68/10.74 ((~(v204(constB172) <=> (v205(constB172) | v209(constB172)))) | (~v204(constB172))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24498, 24497])).
% 14.68/10.74 tff(24500,plain,
% 14.68/10.74 (~v204(constB172)),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24499, 24440])).
% 14.68/10.74 tff(24501,plain,
% 14.68/10.74 ($false),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24500, 24438])).
% 14.68/10.74 tff(24502,plain,(~(constB172 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.74 tff(24503,assumption,(constB80 = VarCurr!0), introduced(assumption)).
% 14.68/10.74 tff(24504,plain,
% 14.68/10.74 (v204(constB80) <=> v204(VarCurr!0)),
% 14.68/10.74 inference(monotonicity,[status(thm)],[24503])).
% 14.68/10.74 tff(24505,plain,
% 14.68/10.74 (v204(VarCurr!0) <=> v204(constB80)),
% 14.68/10.74 inference(symmetry,[status(thm)],[24504])).
% 14.68/10.74 tff(24506,plain,
% 14.68/10.74 (v204(constB80)),
% 14.68/10.74 inference(modus_ponens,[status(thm)],[27, 24505])).
% 14.68/10.74 tff(24507,plain,
% 14.68/10.74 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB80) <=> (v205(constB80) | v209(constB80)))),
% 14.68/10.74 inference(quant_inst,[status(thm)],[])).
% 14.68/10.74 tff(24508,plain,
% 14.68/10.74 (v204(constB80) <=> (v205(constB80) | v209(constB80))),
% 14.68/10.74 inference(unit_resolution,[status(thm)],[24507, 35])).
% 14.68/10.74 tff(24509,plain,
% 14.68/10.74 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80))))))),
% 14.68/10.74 inference(rewrite,[status(thm)],[])).
% 14.68/10.74 tff(24510,plain,
% 14.68/10.74 ((v209(constB80) <=> (~((~v206(constB80)) | (~v191(constB80))))) <=> (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80)))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24511,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v206(constB80)) | (~v191(constB80)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80))))))),
% 14.68/10.75 inference(monotonicity,[status(thm)],[24510])).
% 14.68/10.75 tff(24512,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v206(constB80)) | (~v191(constB80)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80))))))),
% 14.68/10.75 inference(transitivity,[status(thm)],[24511, 24509])).
% 14.68/10.75 tff(24513,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v206(constB80)) | (~v191(constB80)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24514,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80)))))),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 14.68/10.75 tff(24515,plain,
% 14.68/10.75 (v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24514, 47])).
% 14.68/10.75 tff(24516,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB80) <=> (~((~v186(constB80)) | (~v207(constB80)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24517,plain,
% 14.68/10.75 (v206(constB80) <=> (~((~v186(constB80)) | (~v207(constB80))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24516, 16227])).
% 14.68/10.75 tff(24518,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80))))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24519,plain,
% 14.68/10.75 ((v207(constB80) <=> (~((~v208(constB80)) | (~v184(constB80))))) <=> (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80)))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24520,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v208(constB80)) | (~v184(constB80)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80))))))),
% 14.68/10.75 inference(monotonicity,[status(thm)],[24519])).
% 14.68/10.75 tff(24521,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v208(constB80)) | (~v184(constB80)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80))))))),
% 14.68/10.75 inference(transitivity,[status(thm)],[24520, 24518])).
% 14.68/10.75 tff(24522,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v208(constB80)) | (~v184(constB80)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24523,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80)))))),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24522, 24521])).
% 14.68/10.75 tff(24524,plain,
% 14.68/10.75 (v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24523, 16239])).
% 14.68/10.75 tff(24525,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24526,plain,
% 14.68/10.75 (v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24525, 138])).
% 14.68/10.75 tff(24527,plain,
% 14.68/10.75 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB80)) <=> v1(constB80))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24528,plain,
% 14.68/10.75 ((~v39(constB80)) <=> v1(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24527, 147])).
% 14.68/10.75 tff(24529,plain,
% 14.68/10.75 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80)) | (~v1(constB80))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24530,plain,
% 14.68/10.75 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24529, 4814])).
% 14.68/10.75 tff(24531,plain,
% 14.68/10.75 (~v39(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24530, 24528])).
% 14.68/10.75 tff(24532,plain,
% 14.68/10.75 (((~v39(constB80)) | (~v9(constB80))) | v39(constB80)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24533,plain,
% 14.68/10.75 ((~v39(constB80)) | (~v9(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24532, 24531])).
% 14.68/10.75 tff(24534,plain,
% 14.68/10.75 ((~(v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v184(constB80)) | (~((~v39(constB80)) | (~v9(constB80))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24535,plain,
% 14.68/10.75 ((~(v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v184(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24534, 24533])).
% 14.68/10.75 tff(24536,plain,
% 14.68/10.75 (~v184(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24535, 24526])).
% 14.68/10.75 tff(24537,plain,
% 14.68/10.75 (((~v184(constB80)) | (~v208(constB80))) | v184(constB80)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24538,plain,
% 14.68/10.75 ((~v184(constB80)) | (~v208(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24537, 24536])).
% 14.68/10.75 tff(24539,plain,
% 14.68/10.75 ((~(v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80)))))) | (~v207(constB80)) | (~((~v184(constB80)) | (~v208(constB80))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24540,plain,
% 14.68/10.75 ((~(v207(constB80) <=> (~((~v184(constB80)) | (~v208(constB80)))))) | (~v207(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24539, 24538])).
% 14.68/10.75 tff(24541,plain,
% 14.68/10.75 (~v207(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24540, 24524])).
% 14.68/10.75 tff(24542,plain,
% 14.68/10.75 (((~v186(constB80)) | (~v207(constB80))) | v207(constB80)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24543,plain,
% 14.68/10.75 ((~v186(constB80)) | (~v207(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24542, 24541])).
% 14.68/10.75 tff(24544,plain,
% 14.68/10.75 ((~(v206(constB80) <=> (~((~v186(constB80)) | (~v207(constB80)))))) | (~v206(constB80)) | (~((~v186(constB80)) | (~v207(constB80))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24545,plain,
% 14.68/10.75 (~v206(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24544, 24543, 24517])).
% 14.68/10.75 tff(24546,plain,
% 14.68/10.75 (((~v191(constB80)) | (~v206(constB80))) | v206(constB80)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24547,plain,
% 14.68/10.75 ((~v191(constB80)) | (~v206(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24546, 24545])).
% 14.68/10.75 tff(24548,plain,
% 14.68/10.75 ((~(v209(constB80) <=> (~((~v191(constB80)) | (~v206(constB80)))))) | (~v209(constB80)) | (~((~v191(constB80)) | (~v206(constB80))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24549,plain,
% 14.68/10.75 (~v209(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24548, 24547, 24515])).
% 14.68/10.75 tff(24550,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80))))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24551,plain,
% 14.68/10.75 ((v205(constB80) <=> (~((~v206(constB80)) | (~v158(constB80))))) <=> (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80)))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24552,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v206(constB80)) | (~v158(constB80)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80))))))),
% 14.68/10.75 inference(monotonicity,[status(thm)],[24551])).
% 14.68/10.75 tff(24553,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v206(constB80)) | (~v158(constB80)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80))))))),
% 14.68/10.75 inference(transitivity,[status(thm)],[24552, 24550])).
% 14.68/10.75 tff(24554,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v206(constB80)) | (~v158(constB80)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24555,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80)))))),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24554, 24553])).
% 14.68/10.75 tff(24556,plain,
% 14.68/10.75 (v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24555, 2502])).
% 14.68/10.75 tff(24557,plain,
% 14.68/10.75 (((~v158(constB80)) | (~v206(constB80))) | v206(constB80)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24558,plain,
% 14.68/10.75 ((~v158(constB80)) | (~v206(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24557, 24545])).
% 14.68/10.75 tff(24559,plain,
% 14.68/10.75 ((~(v205(constB80) <=> (~((~v158(constB80)) | (~v206(constB80)))))) | (~v205(constB80)) | (~((~v158(constB80)) | (~v206(constB80))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24560,plain,
% 14.68/10.75 (~v205(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24559, 24558, 24556])).
% 14.68/10.75 tff(24561,plain,
% 14.68/10.75 ((~(v205(constB80) | v209(constB80))) | v205(constB80) | v209(constB80)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24562,plain,
% 14.68/10.75 (~(v205(constB80) | v209(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24561, 24560, 24549])).
% 14.68/10.75 tff(24563,plain,
% 14.68/10.75 ((~(v204(constB80) <=> (v205(constB80) | v209(constB80)))) | (~v204(constB80)) | (v205(constB80) | v209(constB80))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24564,plain,
% 14.68/10.75 ((~(v204(constB80) <=> (v205(constB80) | v209(constB80)))) | (~v204(constB80))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24563, 24562])).
% 14.68/10.75 tff(24565,plain,
% 14.68/10.75 (~v204(constB80)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24564, 24508])).
% 14.68/10.75 tff(24566,plain,
% 14.68/10.75 ($false),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24565, 24506])).
% 14.68/10.75 tff(24567,plain,(~(constB80 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.75 tff(24568,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 14.68/10.75 tff(24569,plain,
% 14.68/10.75 (v204(constB173) <=> v204(VarCurr!0)),
% 14.68/10.75 inference(monotonicity,[status(thm)],[24568])).
% 14.68/10.75 tff(24570,plain,
% 14.68/10.75 (v204(VarCurr!0) <=> v204(constB173)),
% 14.68/10.75 inference(symmetry,[status(thm)],[24569])).
% 14.68/10.75 tff(24571,plain,
% 14.68/10.75 (v204(constB173)),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[27, 24570])).
% 14.68/10.75 tff(24572,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB173) <=> (v205(constB173) | v209(constB173)))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24573,plain,
% 14.68/10.75 (v204(constB173) <=> (v205(constB173) | v209(constB173))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24572, 35])).
% 14.68/10.75 tff(24574,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173))))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24575,plain,
% 14.68/10.75 ((v209(constB173) <=> (~((~v206(constB173)) | (~v191(constB173))))) <=> (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173)))))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24576,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v206(constB173)) | (~v191(constB173)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173))))))),
% 14.68/10.75 inference(monotonicity,[status(thm)],[24575])).
% 14.68/10.75 tff(24577,plain,
% 14.68/10.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v206(constB173)) | (~v191(constB173)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173))))))),
% 14.68/10.75 inference(transitivity,[status(thm)],[24576, 24574])).
% 14.68/10.75 tff(24578,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v206(constB173)) | (~v191(constB173)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24579,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173)))))),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 14.68/10.75 tff(24580,plain,
% 14.68/10.75 (v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24579, 47])).
% 14.68/10.75 tff(24581,plain,
% 14.68/10.75 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB173) <=> v196(constB173))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24582,plain,
% 14.68/10.75 (v191(constB173) <=> v196(constB173)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24581, 64])).
% 14.68/10.75 tff(24583,plain,
% 14.68/10.75 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24584,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172')).
% 14.68/10.75 tff(24585,plain,
% 14.68/10.75 (nextState(constB172, constB173)),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24584, 24583])).
% 14.68/10.75 tff(24586,plain,
% 14.68/10.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB172, constB173)) | (v196(constB173) <=> v194(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB172, constB173)) | (v196(constB173) <=> v194(constB172)))),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24587,plain,
% 14.68/10.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB172, constB173)) | (v196(constB173) <=> v194(constB172)))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24588,plain,
% 14.68/10.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB172, constB173)) | (v196(constB173) <=> v194(constB172))),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 14.68/10.75 tff(24589,plain,
% 14.68/10.75 (v196(constB173) <=> v194(constB172)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24588, 24585, 76])).
% 14.68/10.75 tff(24590,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB172) <=> (v197(constB172) | v198(constB172)))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24591,plain,
% 14.68/10.75 (v194(constB172) <=> (v197(constB172) | v198(constB172))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24590, 90])).
% 14.68/10.75 tff(24592,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB172) <=> (~((~v158(constB172)) | (~v199(constB172)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24593,plain,
% 14.68/10.75 (v198(constB172) <=> (~((~v158(constB172)) | (~v199(constB172))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24592, 102])).
% 14.68/10.75 tff(24594,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB172) <=> (~((~v186(constB172)) | (~v200(constB172)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24595,plain,
% 14.68/10.75 (v199(constB172) <=> (~((~v186(constB172)) | (~v200(constB172))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24594, 114])).
% 14.68/10.75 tff(24596,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB172) <=> (~((~v184(constB172)) | (~v84(constB172)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24597,plain,
% 14.68/10.75 (v200(constB172) <=> (~((~v184(constB172)) | (~v84(constB172))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24596, 126])).
% 14.68/10.75 tff(24598,plain,
% 14.68/10.75 (((~v184(constB172)) | (~v84(constB172))) | v184(constB172)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24599,plain,
% 14.68/10.75 ((~v184(constB172)) | (~v84(constB172))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24598, 24471])).
% 14.68/10.75 tff(24600,plain,
% 14.68/10.75 ((~(v200(constB172) <=> (~((~v184(constB172)) | (~v84(constB172)))))) | (~v200(constB172)) | (~((~v184(constB172)) | (~v84(constB172))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24601,plain,
% 14.68/10.75 ((~(v200(constB172) <=> (~((~v184(constB172)) | (~v84(constB172)))))) | (~v200(constB172))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24600, 24599])).
% 14.68/10.75 tff(24602,plain,
% 14.68/10.75 (~v200(constB172)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24601, 24597])).
% 14.68/10.75 tff(24603,plain,
% 14.68/10.75 (((~v186(constB172)) | (~v200(constB172))) | v200(constB172)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24604,plain,
% 14.68/10.75 ((~v186(constB172)) | (~v200(constB172))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24603, 24602])).
% 14.68/10.75 tff(24605,plain,
% 14.68/10.75 ((~(v199(constB172) <=> (~((~v186(constB172)) | (~v200(constB172)))))) | (~v199(constB172)) | (~((~v186(constB172)) | (~v200(constB172))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24606,plain,
% 14.68/10.75 (~v199(constB172)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24605, 24604, 24595])).
% 14.68/10.75 tff(24607,plain,
% 14.68/10.75 (((~v158(constB172)) | (~v199(constB172))) | v199(constB172)),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24608,plain,
% 14.68/10.75 ((~v158(constB172)) | (~v199(constB172))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24607, 24606])).
% 14.68/10.75 tff(24609,plain,
% 14.68/10.75 ((~(v198(constB172) <=> (~((~v158(constB172)) | (~v199(constB172)))))) | (~v198(constB172)) | (~((~v158(constB172)) | (~v199(constB172))))),
% 14.68/10.75 inference(tautology,[status(thm)],[])).
% 14.68/10.75 tff(24610,plain,
% 14.68/10.75 (~v198(constB172)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24609, 24608, 24593])).
% 14.68/10.75 tff(24611,plain,
% 14.68/10.75 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB172) <=> (~((~v182(constB172)) | (~v191(constB172)))))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24612,plain,
% 14.68/10.75 (v197(constB172) <=> (~((~v182(constB172)) | (~v191(constB172))))),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24611, 183])).
% 14.68/10.75 tff(24613,plain,
% 14.68/10.75 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB172) <=> v196(constB172))),
% 14.68/10.75 inference(quant_inst,[status(thm)],[])).
% 14.68/10.75 tff(24614,plain,
% 14.68/10.75 (v191(constB172) <=> v196(constB172)),
% 14.68/10.75 inference(unit_resolution,[status(thm)],[24613, 64])).
% 14.68/10.75 tff(24615,plain,
% 14.68/10.75 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 14.68/10.75 inference(rewrite,[status(thm)],[])).
% 14.68/10.75 tff(24616,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171')).
% 14.68/10.75 tff(24617,plain,
% 14.68/10.75 (nextState(constB171, constB172)),
% 14.68/10.75 inference(modus_ponens,[status(thm)],[24616, 24615])).
% 14.68/10.76 tff(24618,plain,
% 14.68/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB171, constB172)) | (v196(constB172) <=> v194(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB171, constB172)) | (v196(constB172) <=> v194(constB171)))),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24619,plain,
% 14.68/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB171, constB172)) | (v196(constB172) <=> v194(constB171)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24620,plain,
% 14.68/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB171, constB172)) | (v196(constB172) <=> v194(constB171))),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 14.68/10.76 tff(24621,plain,
% 14.68/10.76 (v196(constB172) <=> v194(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24620, 24617, 76])).
% 14.68/10.76 tff(24622,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB171) <=> (v197(constB171) | v198(constB171)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24623,plain,
% 14.68/10.76 (v194(constB171) <=> (v197(constB171) | v198(constB171))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24622, 90])).
% 14.68/10.76 tff(24624,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB171) <=> (~((~v182(constB171)) | (~v191(constB171)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24625,plain,
% 14.68/10.76 (v197(constB171) <=> (~((~v182(constB171)) | (~v191(constB171))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24624, 183])).
% 14.68/10.76 tff(24626,plain,
% 14.68/10.76 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB171)) <=> v183(constB171))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24627,plain,
% 14.68/10.76 ((~v182(constB171)) <=> v183(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24626, 205])).
% 14.68/10.76 tff(24628,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB171) <=> (v184(constB171) | v26(constB171)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24629,plain,
% 14.68/10.76 (v183(constB171) <=> (v184(constB171) | v26(constB171))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24628, 214])).
% 14.68/10.76 tff(24630,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24631,plain,
% 14.68/10.76 (v184(constB171) <=> (~((~v39(constB171)) | (~v9(constB171))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24630, 138])).
% 14.68/10.76 tff(24632,plain,
% 14.68/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24633,plain,
% 14.68/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24634,plain,
% 14.68/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171))),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24633, 24632])).
% 14.68/10.76 tff(24635,plain,
% 14.68/10.76 (v13(constB172) <=> v9(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24634, 24617, 228])).
% 14.68/10.76 tff(24636,plain,
% 14.68/10.76 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB172) <=> v13(constB172))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24637,plain,
% 14.68/10.76 (v6(constB172) <=> v13(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24636, 242])).
% 14.68/10.76 tff(24638,plain,
% 14.68/10.76 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB172)) <=> v6(constB172))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24639,plain,
% 14.68/10.76 ((~v21(constB172)) <=> v6(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24638, 251])).
% 14.68/10.76 tff(24640,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB172) <=> (v20(constB172) | v21(constB172)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24641,plain,
% 14.68/10.76 (v19(constB172) <=> (v20(constB172) | v21(constB172))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24640, 260])).
% 14.68/10.76 tff(24642,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24643,plain,
% 14.68/10.76 (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24642, 272])).
% 14.68/10.76 tff(24644,plain,
% 14.68/10.76 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB172)) <=> v18(constB172))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24645,plain,
% 14.68/10.76 ((~v4(constB172)) <=> v18(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24644, 281])).
% 14.68/10.76 tff(24646,plain,
% 14.68/10.76 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB172)),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24647,plain,
% 14.68/10.76 (v4(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24646, 290])).
% 14.68/10.76 tff(24648,plain,
% 14.68/10.76 ((~((~v4(constB172)) <=> v18(constB172))) | (~v4(constB172)) | (~v18(constB172))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24649,plain,
% 14.68/10.76 (~v18(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24648, 24647, 24645])).
% 14.68/10.76 tff(24650,plain,
% 14.68/10.76 ((~(v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))) | v18(constB172) | ((~v19(constB172)) | (~v22(constB172)))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24651,plain,
% 14.68/10.76 ((~v19(constB172)) | (~v22(constB172))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24650, 24649, 24643])).
% 14.68/10.76 tff(24652,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB172) <=> (v1(constB172) | v6(constB172)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24653,plain,
% 14.68/10.76 (v22(constB172) <=> (v1(constB172) | v6(constB172))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24652, 303])).
% 14.68/10.76 tff(24654,plain,
% 14.68/10.76 ((v1(constB172) | v6(constB172)) | (~v1(constB172))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24655,plain,
% 14.68/10.76 (v1(constB172) | v6(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24654, 24463])).
% 14.68/10.76 tff(24656,plain,
% 14.68/10.76 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172) | (~(v1(constB172) | v6(constB172)))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24657,plain,
% 14.68/10.76 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24656, 24655])).
% 14.68/10.76 tff(24658,plain,
% 14.68/10.76 (v22(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24657, 24653])).
% 14.68/10.76 tff(24659,plain,
% 14.68/10.76 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172)) | (~v22(constB172))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24660,plain,
% 14.68/10.76 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24659, 24658])).
% 14.68/10.76 tff(24661,plain,
% 14.68/10.76 (~v19(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24660, 24651])).
% 14.68/10.76 tff(24662,plain,
% 14.68/10.76 ((~(v19(constB172) <=> (v20(constB172) | v21(constB172)))) | v19(constB172) | (~(v20(constB172) | v21(constB172)))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24663,plain,
% 14.68/10.76 (~(v20(constB172) | v21(constB172))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24662, 24661, 24641])).
% 14.68/10.76 tff(24664,plain,
% 14.68/10.76 ((v20(constB172) | v21(constB172)) | (~v21(constB172))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24665,plain,
% 14.68/10.76 (~v21(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24664, 24663])).
% 14.68/10.76 tff(24666,plain,
% 14.68/10.76 ((~((~v21(constB172)) <=> v6(constB172))) | v21(constB172) | v6(constB172)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24667,plain,
% 14.68/10.76 (v6(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24666, 24665, 24639])).
% 14.68/10.76 tff(24668,plain,
% 14.68/10.76 ((~(v6(constB172) <=> v13(constB172))) | (~v6(constB172)) | v13(constB172)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24669,plain,
% 14.68/10.76 (v13(constB172)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24668, 24667, 24637])).
% 14.68/10.76 tff(24670,plain,
% 14.68/10.76 ((~(v13(constB172) <=> v9(constB171))) | (~v13(constB172)) | v9(constB171)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24671,plain,
% 14.68/10.76 (v9(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24670, 24669, 24635])).
% 14.68/10.76 tff(24672,plain,
% 14.68/10.76 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB171)) <=> v1(constB171))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24673,plain,
% 14.68/10.76 ((~v39(constB171)) <=> v1(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24672, 147])).
% 14.68/10.76 tff(24674,plain,
% 14.68/10.76 ((~v1(constB171)) <=> (~v1(constB171))),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24675,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171')).
% 14.68/10.76 tff(24676,plain,
% 14.68/10.76 (~v1(constB171)),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 14.68/10.76 tff(24677,plain,
% 14.68/10.76 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171) | v1(constB171)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24678,plain,
% 14.68/10.76 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24677, 24676])).
% 14.68/10.76 tff(24679,plain,
% 14.68/10.76 (v39(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24678, 24673])).
% 14.68/10.76 tff(24680,plain,
% 14.68/10.76 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v39(constB171)) | (~v9(constB171))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24681,plain,
% 14.68/10.76 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v9(constB171))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24680, 24679])).
% 14.68/10.76 tff(24682,plain,
% 14.68/10.76 (~((~v39(constB171)) | (~v9(constB171)))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24681, 24671])).
% 14.68/10.76 tff(24683,plain,
% 14.68/10.76 ((~(v184(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))) | v184(constB171) | ((~v39(constB171)) | (~v9(constB171)))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24684,plain,
% 14.68/10.76 (v184(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24683, 24682, 24631])).
% 14.68/10.76 tff(24685,plain,
% 14.68/10.76 ((v184(constB171) | v26(constB171)) | (~v184(constB171))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24686,plain,
% 14.68/10.76 (v184(constB171) | v26(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24685, 24684])).
% 14.68/10.76 tff(24687,plain,
% 14.68/10.76 ((~(v183(constB171) <=> (v184(constB171) | v26(constB171)))) | v183(constB171) | (~(v184(constB171) | v26(constB171)))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24688,plain,
% 14.68/10.76 (v183(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24687, 24686, 24629])).
% 14.68/10.76 tff(24689,plain,
% 14.68/10.76 ((~((~v182(constB171)) <=> v183(constB171))) | (~v182(constB171)) | (~v183(constB171))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24690,plain,
% 14.68/10.76 (~v182(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24689, 24688, 24627])).
% 14.68/10.76 tff(24691,plain,
% 14.68/10.76 (((~v182(constB171)) | (~v191(constB171))) | v182(constB171)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24692,plain,
% 14.68/10.76 ((~v182(constB171)) | (~v191(constB171))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24691, 24690])).
% 14.68/10.76 tff(24693,plain,
% 14.68/10.76 ((~(v197(constB171) <=> (~((~v182(constB171)) | (~v191(constB171)))))) | (~v197(constB171)) | (~((~v182(constB171)) | (~v191(constB171))))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24694,plain,
% 14.68/10.76 (~v197(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24693, 24692, 24625])).
% 14.68/10.76 tff(24695,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB171) <=> (~((~v158(constB171)) | (~v199(constB171)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24696,plain,
% 14.68/10.76 (v198(constB171) <=> (~((~v158(constB171)) | (~v199(constB171))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24695, 102])).
% 14.68/10.76 tff(24697,plain,
% 14.68/10.76 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB171) <=> v180(constB171))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24698,plain,
% 14.68/10.76 (v158(constB171) <=> v180(constB171)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24697, 358])).
% 14.68/10.76 tff(24699,plain,
% 14.68/10.76 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24700,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170')).
% 14.68/10.76 tff(24701,plain,
% 14.68/10.76 (nextState(constB170, constB171)),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24700, 24699])).
% 14.68/10.76 tff(24702,plain,
% 14.68/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170)))),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24703,plain,
% 14.68/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24704,plain,
% 14.68/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170))),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24703, 24702])).
% 14.68/10.76 tff(24705,plain,
% 14.68/10.76 (v180(constB171) <=> v178(constB170)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24704, 24701, 370])).
% 14.68/10.76 tff(24706,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB170) <=> (v181(constB170) | v185(constB170)))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24707,plain,
% 14.68/10.76 (v178(constB170) <=> (v181(constB170) | v185(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24706, 384])).
% 14.68/10.76 tff(24708,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB170) <=> (~((~v186(constB170)) | (~v187(constB170)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24709,plain,
% 14.68/10.76 (v185(constB170) <=> (~((~v186(constB170)) | (~v187(constB170))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24708, 396])).
% 14.68/10.76 tff(24710,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB170) <=> (~((~v184(constB170)) | (~v160(constB170)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24711,plain,
% 14.68/10.76 (v187(constB170) <=> (~((~v184(constB170)) | (~v160(constB170))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24710, 408])).
% 14.68/10.76 tff(24712,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24713,plain,
% 14.68/10.76 (v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24712, 138])).
% 14.68/10.76 tff(24714,plain,
% 14.68/10.76 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB170)) <=> v1(constB170))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24715,plain,
% 14.68/10.76 ((~v39(constB170)) <=> v1(constB170)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24714, 147])).
% 14.68/10.76 tff(24716,plain,
% 14.68/10.76 (v1(constB170) <=> v1(constB170)),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24717,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170')).
% 14.68/10.76 tff(24718,plain,
% 14.68/10.76 (v1(constB170)),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24717, 24716])).
% 14.68/10.76 tff(24719,plain,
% 14.68/10.76 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170)) | (~v1(constB170))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24720,plain,
% 14.68/10.76 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24719, 24718])).
% 14.68/10.76 tff(24721,plain,
% 14.68/10.76 (~v39(constB170)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24720, 24715])).
% 14.68/10.76 tff(24722,plain,
% 14.68/10.76 (((~v39(constB170)) | (~v9(constB170))) | v39(constB170)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24723,plain,
% 14.68/10.76 ((~v39(constB170)) | (~v9(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24722, 24721])).
% 14.68/10.76 tff(24724,plain,
% 14.68/10.76 ((~(v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v184(constB170)) | (~((~v39(constB170)) | (~v9(constB170))))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24725,plain,
% 14.68/10.76 ((~(v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v184(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24724, 24723])).
% 14.68/10.76 tff(24726,plain,
% 14.68/10.76 (~v184(constB170)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24725, 24713])).
% 14.68/10.76 tff(24727,plain,
% 14.68/10.76 (((~v184(constB170)) | (~v160(constB170))) | v184(constB170)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24728,plain,
% 14.68/10.76 ((~v184(constB170)) | (~v160(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24727, 24726])).
% 14.68/10.76 tff(24729,plain,
% 14.68/10.76 ((~(v187(constB170) <=> (~((~v184(constB170)) | (~v160(constB170)))))) | (~v187(constB170)) | (~((~v184(constB170)) | (~v160(constB170))))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24730,plain,
% 14.68/10.76 ((~(v187(constB170) <=> (~((~v184(constB170)) | (~v160(constB170)))))) | (~v187(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24729, 24728])).
% 14.68/10.76 tff(24731,plain,
% 14.68/10.76 (~v187(constB170)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24730, 24711])).
% 14.68/10.76 tff(24732,plain,
% 14.68/10.76 (((~v186(constB170)) | (~v187(constB170))) | v187(constB170)),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24733,plain,
% 14.68/10.76 ((~v186(constB170)) | (~v187(constB170))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24732, 24731])).
% 14.68/10.76 tff(24734,plain,
% 14.68/10.76 ((~(v185(constB170) <=> (~((~v186(constB170)) | (~v187(constB170)))))) | (~v185(constB170)) | (~((~v186(constB170)) | (~v187(constB170))))),
% 14.68/10.76 inference(tautology,[status(thm)],[])).
% 14.68/10.76 tff(24735,plain,
% 14.68/10.76 (~v185(constB170)),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24734, 24733, 24709])).
% 14.68/10.76 tff(24736,plain,
% 14.68/10.76 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170))))))),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24737,plain,
% 14.68/10.76 ((v181(constB170) <=> (~((~v182(constB170)) | (~v158(constB170))))) <=> (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170)))))),
% 14.68/10.76 inference(rewrite,[status(thm)],[])).
% 14.68/10.76 tff(24738,plain,
% 14.68/10.76 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v182(constB170)) | (~v158(constB170)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170))))))),
% 14.68/10.76 inference(monotonicity,[status(thm)],[24737])).
% 14.68/10.76 tff(24739,plain,
% 14.68/10.76 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v182(constB170)) | (~v158(constB170)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170))))))),
% 14.68/10.76 inference(transitivity,[status(thm)],[24738, 24736])).
% 14.68/10.76 tff(24740,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v182(constB170)) | (~v158(constB170)))))),
% 14.68/10.76 inference(quant_inst,[status(thm)],[])).
% 14.68/10.76 tff(24741,plain,
% 14.68/10.76 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170)))))),
% 14.68/10.76 inference(modus_ponens,[status(thm)],[24740, 24739])).
% 14.68/10.76 tff(24742,plain,
% 14.68/10.76 (v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170))))),
% 14.68/10.76 inference(unit_resolution,[status(thm)],[24741, 444])).
% 14.68/10.76 tff(24743,plain,
% 14.68/10.76 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB170) <=> v180(constB170))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24744,plain,
% 14.68/10.77 (v158(constB170) <=> v180(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24743, 358])).
% 14.68/10.77 tff(24745,plain,
% 14.68/10.77 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24746,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169')).
% 14.68/10.77 tff(24747,plain,
% 14.68/10.77 (nextState(constB169, constB170)),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24746, 24745])).
% 14.68/10.77 tff(24748,plain,
% 14.68/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169)))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24749,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24750,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169))),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24749, 24748])).
% 14.68/10.77 tff(24751,plain,
% 14.68/10.77 (v180(constB170) <=> v178(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24750, 24747, 370])).
% 14.68/10.77 tff(24752,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB169) <=> (v181(constB169) | v185(constB169)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24753,plain,
% 14.68/10.77 (v178(constB169) <=> (v181(constB169) | v185(constB169))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24752, 384])).
% 14.68/10.77 tff(24754,plain,
% 14.68/10.77 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169))))))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24755,plain,
% 14.68/10.77 ((v181(constB169) <=> (~((~v182(constB169)) | (~v158(constB169))))) <=> (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169)))))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24756,plain,
% 14.68/10.77 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v182(constB169)) | (~v158(constB169)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169))))))),
% 14.68/10.77 inference(monotonicity,[status(thm)],[24755])).
% 14.68/10.77 tff(24757,plain,
% 14.68/10.77 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v182(constB169)) | (~v158(constB169)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169))))))),
% 14.68/10.77 inference(transitivity,[status(thm)],[24756, 24754])).
% 14.68/10.77 tff(24758,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v182(constB169)) | (~v158(constB169)))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24759,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169)))))),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24758, 24757])).
% 14.68/10.77 tff(24760,plain,
% 14.68/10.77 (v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24759, 444])).
% 14.68/10.77 tff(24761,plain,
% 14.68/10.77 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB169)) <=> v183(constB169))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24762,plain,
% 14.68/10.77 ((~v182(constB169)) <=> v183(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24761, 205])).
% 14.68/10.77 tff(24763,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB169) <=> (v184(constB169) | v26(constB169)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24764,plain,
% 14.68/10.77 (v183(constB169) <=> (v184(constB169) | v26(constB169))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24763, 214])).
% 14.68/10.77 tff(24765,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24766,plain,
% 14.68/10.77 (v184(constB169) <=> (~((~v39(constB169)) | (~v9(constB169))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24765, 138])).
% 14.68/10.77 tff(24767,plain,
% 14.68/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24768,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24769,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169))),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24768, 24767])).
% 14.68/10.77 tff(24770,plain,
% 14.68/10.77 (v13(constB170) <=> v9(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24769, 24747, 228])).
% 14.68/10.77 tff(24771,plain,
% 14.68/10.77 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB170) <=> v13(constB170))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24772,plain,
% 14.68/10.77 (v6(constB170) <=> v13(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24771, 242])).
% 14.68/10.77 tff(24773,plain,
% 14.68/10.77 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB170)) <=> v6(constB170))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24774,plain,
% 14.68/10.77 ((~v21(constB170)) <=> v6(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24773, 251])).
% 14.68/10.77 tff(24775,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB170) <=> (v20(constB170) | v21(constB170)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24776,plain,
% 14.68/10.77 (v19(constB170) <=> (v20(constB170) | v21(constB170))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24775, 260])).
% 14.68/10.77 tff(24777,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24778,plain,
% 14.68/10.77 (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24777, 272])).
% 14.68/10.77 tff(24779,plain,
% 14.68/10.77 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB170)) <=> v18(constB170))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24780,plain,
% 14.68/10.77 ((~v4(constB170)) <=> v18(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24779, 281])).
% 14.68/10.77 tff(24781,plain,
% 14.68/10.77 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB170)),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24782,plain,
% 14.68/10.77 (v4(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24781, 290])).
% 14.68/10.77 tff(24783,plain,
% 14.68/10.77 ((~((~v4(constB170)) <=> v18(constB170))) | (~v4(constB170)) | (~v18(constB170))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24784,plain,
% 14.68/10.77 (~v18(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24783, 24782, 24780])).
% 14.68/10.77 tff(24785,plain,
% 14.68/10.77 ((~(v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))) | v18(constB170) | ((~v19(constB170)) | (~v22(constB170)))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24786,plain,
% 14.68/10.77 ((~v19(constB170)) | (~v22(constB170))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24785, 24784, 24778])).
% 14.68/10.77 tff(24787,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB170) <=> (v1(constB170) | v6(constB170)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24788,plain,
% 14.68/10.77 (v22(constB170) <=> (v1(constB170) | v6(constB170))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24787, 303])).
% 14.68/10.77 tff(24789,plain,
% 14.68/10.77 ((v1(constB170) | v6(constB170)) | (~v1(constB170))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24790,plain,
% 14.68/10.77 (v1(constB170) | v6(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24789, 24718])).
% 14.68/10.77 tff(24791,plain,
% 14.68/10.77 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170) | (~(v1(constB170) | v6(constB170)))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24792,plain,
% 14.68/10.77 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24791, 24790])).
% 14.68/10.77 tff(24793,plain,
% 14.68/10.77 (v22(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24792, 24788])).
% 14.68/10.77 tff(24794,plain,
% 14.68/10.77 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170)) | (~v22(constB170))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24795,plain,
% 14.68/10.77 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24794, 24793])).
% 14.68/10.77 tff(24796,plain,
% 14.68/10.77 (~v19(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24795, 24786])).
% 14.68/10.77 tff(24797,plain,
% 14.68/10.77 ((~(v19(constB170) <=> (v20(constB170) | v21(constB170)))) | v19(constB170) | (~(v20(constB170) | v21(constB170)))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24798,plain,
% 14.68/10.77 (~(v20(constB170) | v21(constB170))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24797, 24796, 24776])).
% 14.68/10.77 tff(24799,plain,
% 14.68/10.77 ((v20(constB170) | v21(constB170)) | (~v21(constB170))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24800,plain,
% 14.68/10.77 (~v21(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24799, 24798])).
% 14.68/10.77 tff(24801,plain,
% 14.68/10.77 ((~((~v21(constB170)) <=> v6(constB170))) | v21(constB170) | v6(constB170)),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24802,plain,
% 14.68/10.77 (v6(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24801, 24800, 24774])).
% 14.68/10.77 tff(24803,plain,
% 14.68/10.77 ((~(v6(constB170) <=> v13(constB170))) | (~v6(constB170)) | v13(constB170)),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24804,plain,
% 14.68/10.77 (v13(constB170)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24803, 24802, 24772])).
% 14.68/10.77 tff(24805,plain,
% 14.68/10.77 ((~(v13(constB170) <=> v9(constB169))) | (~v13(constB170)) | v9(constB169)),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24806,plain,
% 14.68/10.77 (v9(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24805, 24804, 24770])).
% 14.68/10.77 tff(24807,plain,
% 14.68/10.77 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB169)) <=> v1(constB169))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24808,plain,
% 14.68/10.77 ((~v39(constB169)) <=> v1(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24807, 147])).
% 14.68/10.77 tff(24809,plain,
% 14.68/10.77 ((~v1(constB169)) <=> (~v1(constB169))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24810,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169')).
% 14.68/10.77 tff(24811,plain,
% 14.68/10.77 (~v1(constB169)),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24810, 24809])).
% 14.68/10.77 tff(24812,plain,
% 14.68/10.77 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169) | v1(constB169)),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24813,plain,
% 14.68/10.77 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24812, 24811])).
% 14.68/10.77 tff(24814,plain,
% 14.68/10.77 (v39(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24813, 24808])).
% 14.68/10.77 tff(24815,plain,
% 14.68/10.77 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v39(constB169)) | (~v9(constB169))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24816,plain,
% 14.68/10.77 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v9(constB169))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24815, 24814])).
% 14.68/10.77 tff(24817,plain,
% 14.68/10.77 (~((~v39(constB169)) | (~v9(constB169)))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24816, 24806])).
% 14.68/10.77 tff(24818,plain,
% 14.68/10.77 ((~(v184(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))) | v184(constB169) | ((~v39(constB169)) | (~v9(constB169)))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24819,plain,
% 14.68/10.77 (v184(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24818, 24817, 24766])).
% 14.68/10.77 tff(24820,plain,
% 14.68/10.77 ((v184(constB169) | v26(constB169)) | (~v184(constB169))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24821,plain,
% 14.68/10.77 (v184(constB169) | v26(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24820, 24819])).
% 14.68/10.77 tff(24822,plain,
% 14.68/10.77 ((~(v183(constB169) <=> (v184(constB169) | v26(constB169)))) | v183(constB169) | (~(v184(constB169) | v26(constB169)))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24823,plain,
% 14.68/10.77 (v183(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24822, 24821, 24764])).
% 14.68/10.77 tff(24824,plain,
% 14.68/10.77 ((~((~v182(constB169)) <=> v183(constB169))) | (~v182(constB169)) | (~v183(constB169))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24825,plain,
% 14.68/10.77 (~v182(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24824, 24823, 24762])).
% 14.68/10.77 tff(24826,plain,
% 14.68/10.77 (((~v158(constB169)) | (~v182(constB169))) | v182(constB169)),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24827,plain,
% 14.68/10.77 ((~v158(constB169)) | (~v182(constB169))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24826, 24825])).
% 14.68/10.77 tff(24828,plain,
% 14.68/10.77 ((~(v181(constB169) <=> (~((~v158(constB169)) | (~v182(constB169)))))) | (~v181(constB169)) | (~((~v158(constB169)) | (~v182(constB169))))),
% 14.68/10.77 inference(tautology,[status(thm)],[])).
% 14.68/10.77 tff(24829,plain,
% 14.68/10.77 (~v181(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24828, 24827, 24760])).
% 14.68/10.77 tff(24830,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB169) <=> (~((~v186(constB169)) | (~v187(constB169)))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24831,plain,
% 14.68/10.77 (v185(constB169) <=> (~((~v186(constB169)) | (~v187(constB169))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24830, 396])).
% 14.68/10.77 tff(24832,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB169) <=> (~((~v184(constB169)) | (~v160(constB169)))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24833,plain,
% 14.68/10.77 (v187(constB169) <=> (~((~v184(constB169)) | (~v160(constB169))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24832, 408])).
% 14.68/10.77 tff(24834,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB169) <=> v162(constB169))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24835,plain,
% 14.68/10.77 (v160(constB169) <=> v162(constB169)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24834, 549])).
% 14.68/10.77 tff(24836,plain,
% 14.68/10.77 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex0)))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24837,plain,
% 14.68/10.77 (v141(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex0))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24836, 564])).
% 14.68/10.77 tff(24838,plain,
% 14.68/10.77 (((~![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)))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24839,plain,
% 14.68/10.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24840,plain,
% 14.68/10.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2))),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24839, 24838])).
% 14.68/10.77 tff(24841,plain,
% 14.68/10.77 (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24840, 579, 576])).
% 14.68/10.77 tff(24842,plain,
% 14.68/10.77 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24843,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168')).
% 14.68/10.77 tff(24844,plain,
% 14.68/10.77 (nextState(constB168, constB169)),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24843, 24842])).
% 14.68/10.77 tff(24845,plain,
% 14.68/10.77 (((~![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))))))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24846,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 14.68/10.77 inference(quant_inst,[status(thm)],[])).
% 14.68/10.77 tff(24847,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))),
% 14.68/10.77 inference(modus_ponens,[status(thm)],[24846, 24845])).
% 14.68/10.77 tff(24848,plain,
% 14.68/10.77 (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))),
% 14.68/10.77 inference(unit_resolution,[status(thm)],[24847, 24844, 596])).
% 14.68/10.77 tff(24849,plain,
% 14.68/10.77 (((~![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))))))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24850,plain,
% 14.68/10.77 (((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 14.68/10.77 inference(rewrite,[status(thm)],[])).
% 14.68/10.77 tff(24851,plain,
% 14.68/10.77 (((~![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)))))))),
% 14.68/10.77 inference(monotonicity,[status(thm)],[24850])).
% 14.68/10.77 tff(24852,plain,
% 14.68/10.77 (((~![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))))))),
% 14.68/10.77 inference(transitivity,[status(thm)],[24851, 24849])).
% 14.68/10.77 tff(24853,plain,
% 14.68/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24854,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 14.68/10.78 tff(24855,plain,
% 14.68/10.78 (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24854, 24844, 616])).
% 14.68/10.78 tff(24856,plain,
% 14.68/10.78 (((~v1(constB169)) | (~v102(constB169))) | v1(constB169)),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24857,plain,
% 14.68/10.78 ((~v1(constB169)) | (~v102(constB169))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24856, 24811])).
% 14.68/10.78 tff(24858,plain,
% 14.68/10.78 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169)) | (~((~v1(constB169)) | (~v102(constB169))))),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24859,plain,
% 14.68/10.78 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24858, 24857])).
% 14.68/10.78 tff(24860,plain,
% 14.68/10.78 (~v101(constB169)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24859, 24855])).
% 14.68/10.78 tff(24861,plain,
% 14.68/10.78 (((~v101(constB169)) | (~v110(constB169))) | v101(constB169)),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24862,plain,
% 14.68/10.78 ((~v101(constB169)) | (~v110(constB169))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24861, 24860])).
% 14.68/10.78 tff(24863,plain,
% 14.68/10.78 ((~(v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))) | (~v100(constB169)) | (~((~v101(constB169)) | (~v110(constB169))))),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24864,plain,
% 14.68/10.78 (~v100(constB169)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24863, 24862, 24848])).
% 14.68/10.78 tff(24865,plain,
% 14.68/10.78 (((~![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))))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24866,plain,
% 14.68/10.78 ((~![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))))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24867,plain,
% 14.68/10.78 ((~![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)))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 14.68/10.78 tff(24868,plain,
% 14.68/10.78 (v100(constB169) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24867, 24844, 645])).
% 14.68/10.78 tff(24869,plain,
% 14.68/10.78 (![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24868, 24864])).
% 14.68/10.78 tff(24870,plain,
% 14.68/10.78 (((~![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)))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24871,plain,
% 14.68/10.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24872,plain,
% 14.68/10.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24871, 24870])).
% 14.68/10.78 tff(24873,plain,
% 14.68/10.78 (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24872, 579, 24869])).
% 14.68/10.78 tff(24874,plain,
% 14.68/10.78 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24875,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167')).
% 14.68/10.78 tff(24876,plain,
% 14.68/10.78 (nextState(constB167, constB168)),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24875, 24874])).
% 14.68/10.78 tff(24877,plain,
% 14.68/10.78 (((~![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))))))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24878,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24879,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24878, 24877])).
% 14.68/10.78 tff(24880,plain,
% 14.68/10.78 (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24879, 24876, 596])).
% 14.68/10.78 tff(24881,plain,
% 14.68/10.78 (((~![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))))))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24882,plain,
% 14.68/10.78 (((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24883,plain,
% 14.68/10.78 (((~![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)))))))),
% 14.68/10.78 inference(monotonicity,[status(thm)],[24882])).
% 14.68/10.78 tff(24884,plain,
% 14.68/10.78 (((~![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))))))),
% 14.68/10.78 inference(transitivity,[status(thm)],[24883, 24881])).
% 14.68/10.78 tff(24885,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24886,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24885, 24884])).
% 14.68/10.78 tff(24887,plain,
% 14.68/10.78 (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24886, 24876, 616])).
% 14.68/10.78 tff(24888,plain,
% 14.68/10.78 (((~![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)))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24889,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24890,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24889, 24888])).
% 14.68/10.78 tff(24891,plain,
% 14.68/10.78 ((~v102(constB168)) <=> v104(constB168)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24890, 24876, 678])).
% 14.68/10.78 tff(24892,plain,
% 14.68/10.78 (((~![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)))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24893,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24894,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24893, 24892])).
% 14.68/10.78 tff(24895,plain,
% 14.68/10.78 (v104(constB168) <=> v1(constB167)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24894, 24876, 692])).
% 14.68/10.78 tff(24896,plain,
% 14.68/10.78 ((~v1(constB167)) <=> (~v1(constB167))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24897,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167')).
% 14.68/10.78 tff(24898,plain,
% 14.68/10.78 (~v1(constB167)),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 14.68/10.78 tff(24899,plain,
% 14.68/10.78 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168)) | v1(constB167)),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24900,plain,
% 14.68/10.78 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24899, 24898])).
% 14.68/10.78 tff(24901,plain,
% 14.68/10.78 (~v104(constB168)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24900, 24895])).
% 14.68/10.78 tff(24902,plain,
% 14.68/10.78 ((~((~v102(constB168)) <=> v104(constB168))) | v102(constB168) | v104(constB168)),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24903,plain,
% 14.68/10.78 (v102(constB168)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24902, 24901, 24891])).
% 14.68/10.78 tff(24904,plain,
% 14.68/10.78 (v1(constB168) <=> v1(constB168)),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24905,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168')).
% 14.68/10.78 tff(24906,plain,
% 14.68/10.78 (v1(constB168)),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24905, 24904])).
% 14.68/10.78 tff(24907,plain,
% 14.68/10.78 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v1(constB168)) | (~v102(constB168))),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24908,plain,
% 14.68/10.78 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v102(constB168))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24907, 24906])).
% 14.68/10.78 tff(24909,plain,
% 14.68/10.78 (~((~v1(constB168)) | (~v102(constB168)))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24908, 24903])).
% 14.68/10.78 tff(24910,plain,
% 14.68/10.78 ((~(v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))) | v101(constB168) | ((~v1(constB168)) | (~v102(constB168)))),
% 14.68/10.78 inference(tautology,[status(thm)],[])).
% 14.68/10.78 tff(24911,plain,
% 14.68/10.78 (v101(constB168)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24910, 24909, 24887])).
% 14.68/10.78 tff(24912,plain,
% 14.68/10.78 (((~![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)))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24913,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24914,plain,
% 14.68/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 14.68/10.78 tff(24915,plain,
% 14.68/10.78 (v110(constB168) <=> v108(constB167)),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24914, 24876, 722])).
% 14.68/10.78 tff(24916,plain,
% 14.68/10.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB167) <=> (v111(constB167) | v112(constB167)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24917,plain,
% 14.68/10.78 (v108(constB167) <=> (v111(constB167) | v112(constB167))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24916, 733])).
% 14.68/10.78 tff(24918,plain,
% 14.68/10.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24919,plain,
% 14.68/10.78 (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167))))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24918, 745])).
% 14.68/10.78 tff(24920,plain,
% 14.68/10.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB167) <=> (v114(constB167) | v125(constB167)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24921,plain,
% 14.68/10.78 (v113(constB167) <=> (v114(constB167) | v125(constB167))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24920, 754])).
% 14.68/10.78 tff(24922,plain,
% 14.68/10.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB167) <=> (v115(constB167) | v124(constB167)))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24923,plain,
% 14.68/10.78 (v114(constB167) <=> (v115(constB167) | v124(constB167))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24922, 763])).
% 14.68/10.78 tff(24924,plain,
% 14.68/10.78 (((~![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))))))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24925,plain,
% 14.68/10.78 ((v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2))))) <=> (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))),
% 14.68/10.78 inference(rewrite,[status(thm)],[])).
% 14.68/10.78 tff(24926,plain,
% 14.68/10.78 (((~![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))))))),
% 14.68/10.78 inference(monotonicity,[status(thm)],[24925])).
% 14.68/10.78 tff(24927,plain,
% 14.68/10.78 (((~![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))))))),
% 14.68/10.78 inference(transitivity,[status(thm)],[24926, 24924])).
% 14.68/10.78 tff(24928,plain,
% 14.68/10.78 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))),
% 14.68/10.78 inference(quant_inst,[status(thm)],[])).
% 14.68/10.78 tff(24929,plain,
% 14.68/10.78 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))),
% 14.68/10.78 inference(modus_ponens,[status(thm)],[24928, 24927])).
% 14.68/10.78 tff(24930,plain,
% 14.68/10.78 (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))),
% 14.68/10.78 inference(unit_resolution,[status(thm)],[24929, 2651])).
% 14.68/10.79 tff(24931,plain,
% 14.68/10.79 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24932,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166')).
% 14.68/10.79 tff(24933,plain,
% 14.68/10.79 (nextState(constB166, constB167)),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24932, 24931])).
% 14.68/10.79 tff(24934,plain,
% 14.68/10.79 (((~![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))))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24935,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24936,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24935, 24934])).
% 14.68/10.79 tff(24937,plain,
% 14.68/10.79 (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24936, 24933, 596])).
% 14.68/10.79 tff(24938,plain,
% 14.68/10.79 (((~![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))))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24939,plain,
% 14.68/10.79 (((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24940,plain,
% 14.68/10.79 (((~![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)))))))),
% 14.68/10.79 inference(monotonicity,[status(thm)],[24939])).
% 14.68/10.79 tff(24941,plain,
% 14.68/10.79 (((~![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))))))),
% 14.68/10.79 inference(transitivity,[status(thm)],[24940, 24938])).
% 14.68/10.79 tff(24942,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24943,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24942, 24941])).
% 14.68/10.79 tff(24944,plain,
% 14.68/10.79 (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24943, 24933, 616])).
% 14.68/10.79 tff(24945,plain,
% 14.68/10.79 (((~v1(constB167)) | (~v102(constB167))) | v1(constB167)),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24946,plain,
% 14.68/10.79 ((~v1(constB167)) | (~v102(constB167))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24945, 24898])).
% 14.68/10.79 tff(24947,plain,
% 14.68/10.79 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167)) | (~((~v1(constB167)) | (~v102(constB167))))),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24948,plain,
% 14.68/10.79 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24947, 24946])).
% 14.68/10.79 tff(24949,plain,
% 14.68/10.79 (~v101(constB167)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24948, 24944])).
% 14.68/10.79 tff(24950,plain,
% 14.68/10.79 (((~v101(constB167)) | (~v110(constB167))) | v101(constB167)),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24951,plain,
% 14.68/10.79 ((~v101(constB167)) | (~v110(constB167))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24950, 24949])).
% 14.68/10.79 tff(24952,plain,
% 14.68/10.79 ((~(v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))) | (~v100(constB167)) | (~((~v101(constB167)) | (~v110(constB167))))),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24953,plain,
% 14.68/10.79 (~v100(constB167)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24952, 24951, 24937])).
% 14.68/10.79 tff(24954,plain,
% 14.68/10.79 (((~![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))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24955,plain,
% 14.68/10.79 ((~![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))))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24956,plain,
% 14.68/10.79 ((~![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)))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24955, 24954])).
% 14.68/10.79 tff(24957,plain,
% 14.68/10.79 (v100(constB167) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24956, 24933, 645])).
% 14.68/10.79 tff(24958,plain,
% 14.68/10.79 (![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24957, 24953])).
% 14.68/10.79 tff(24959,plain,
% 14.68/10.79 (((~![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)))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24960,plain,
% 14.68/10.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24961,plain,
% 14.68/10.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24960, 24959])).
% 14.68/10.79 tff(24962,plain,
% 14.68/10.79 (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24961, 579, 24958])).
% 14.68/10.79 tff(24963,plain,
% 14.68/10.79 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24964,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165')).
% 14.68/10.79 tff(24965,plain,
% 14.68/10.79 (nextState(constB165, constB166)),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24964, 24963])).
% 14.68/10.79 tff(24966,plain,
% 14.68/10.79 (((~![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))))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24967,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24968,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 14.68/10.79 tff(24969,plain,
% 14.68/10.79 (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24968, 24965, 596])).
% 14.68/10.79 tff(24970,plain,
% 14.68/10.79 (((~![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))))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24971,plain,
% 14.68/10.79 (((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24972,plain,
% 14.68/10.79 (((~![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)))))))),
% 14.68/10.79 inference(monotonicity,[status(thm)],[24971])).
% 14.68/10.79 tff(24973,plain,
% 14.68/10.79 (((~![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))))))),
% 14.68/10.79 inference(transitivity,[status(thm)],[24972, 24970])).
% 14.68/10.79 tff(24974,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24975,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24974, 24973])).
% 14.68/10.79 tff(24976,plain,
% 14.68/10.79 (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24975, 24965, 616])).
% 14.68/10.79 tff(24977,plain,
% 14.68/10.79 (((~![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)))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24978,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24979,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 14.68/10.79 tff(24980,plain,
% 14.68/10.79 ((~v102(constB166)) <=> v104(constB166)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24979, 24965, 678])).
% 14.68/10.79 tff(24981,plain,
% 14.68/10.79 (((~![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)))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24982,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(24983,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24982, 24981])).
% 14.68/10.79 tff(24984,plain,
% 14.68/10.79 (v104(constB166) <=> v1(constB165)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24983, 24965, 692])).
% 14.68/10.79 tff(24985,plain,
% 14.68/10.79 ((~v1(constB165)) <=> (~v1(constB165))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24986,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165')).
% 14.68/10.79 tff(24987,plain,
% 14.68/10.79 (~v1(constB165)),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24986, 24985])).
% 14.68/10.79 tff(24988,plain,
% 14.68/10.79 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166)) | v1(constB165)),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24989,plain,
% 14.68/10.79 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24988, 24987])).
% 14.68/10.79 tff(24990,plain,
% 14.68/10.79 (~v104(constB166)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24989, 24984])).
% 14.68/10.79 tff(24991,plain,
% 14.68/10.79 ((~((~v102(constB166)) <=> v104(constB166))) | v102(constB166) | v104(constB166)),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24992,plain,
% 14.68/10.79 (v102(constB166)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24991, 24990, 24980])).
% 14.68/10.79 tff(24993,plain,
% 14.68/10.79 (v1(constB166) <=> v1(constB166)),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(24994,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166')).
% 14.68/10.79 tff(24995,plain,
% 14.68/10.79 (v1(constB166)),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[24994, 24993])).
% 14.68/10.79 tff(24996,plain,
% 14.68/10.79 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v1(constB166)) | (~v102(constB166))),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(24997,plain,
% 14.68/10.79 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v102(constB166))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24996, 24995])).
% 14.68/10.79 tff(24998,plain,
% 14.68/10.79 (~((~v1(constB166)) | (~v102(constB166)))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24997, 24992])).
% 14.68/10.79 tff(24999,plain,
% 14.68/10.79 ((~(v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))) | v101(constB166) | ((~v1(constB166)) | (~v102(constB166)))),
% 14.68/10.79 inference(tautology,[status(thm)],[])).
% 14.68/10.79 tff(25000,plain,
% 14.68/10.79 (v101(constB166)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[24999, 24998, 24976])).
% 14.68/10.79 tff(25001,plain,
% 14.68/10.79 (((~![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)))),
% 14.68/10.79 inference(rewrite,[status(thm)],[])).
% 14.68/10.79 tff(25002,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(25003,plain,
% 14.68/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165))),
% 14.68/10.79 inference(modus_ponens,[status(thm)],[25002, 25001])).
% 14.68/10.79 tff(25004,plain,
% 14.68/10.79 (v110(constB166) <=> v108(constB165)),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[25003, 24965, 722])).
% 14.68/10.79 tff(25005,plain,
% 14.68/10.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB165) <=> (v111(constB165) | v112(constB165)))),
% 14.68/10.79 inference(quant_inst,[status(thm)],[])).
% 14.68/10.79 tff(25006,plain,
% 14.68/10.79 (v108(constB165) <=> (v111(constB165) | v112(constB165))),
% 14.68/10.79 inference(unit_resolution,[status(thm)],[25005, 733])).
% 14.68/10.79 tff(25007,plain,
% 14.68/10.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25008,plain,
% 14.68/10.80 (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165))))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25007, 745])).
% 14.68/10.80 tff(25009,plain,
% 14.68/10.80 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB165) <=> (v114(constB165) | v125(constB165)))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25010,plain,
% 14.68/10.80 (v113(constB165) <=> (v114(constB165) | v125(constB165))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25009, 754])).
% 14.68/10.80 tff(25011,plain,
% 14.68/10.80 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB165) <=> (v115(constB165) | v124(constB165)))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25012,plain,
% 14.68/10.80 (v114(constB165) <=> (v115(constB165) | v124(constB165))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25011, 763])).
% 14.68/10.80 tff(25013,plain,
% 14.68/10.80 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB165) <=> (v116(constB165) | v123(constB165)))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25014,plain,
% 14.68/10.80 (v115(constB165) <=> (v116(constB165) | v123(constB165))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25013, 772])).
% 14.68/10.80 tff(25015,plain,
% 14.68/10.80 (((~![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)))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25016,plain,
% 14.68/10.80 ((v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2))))) <=> (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25017,plain,
% 14.68/10.80 (((~![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)))))),
% 14.68/10.80 inference(monotonicity,[status(thm)],[25016])).
% 14.68/10.80 tff(25018,plain,
% 14.68/10.80 (((~![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)))))),
% 14.68/10.80 inference(transitivity,[status(thm)],[25017, 25015])).
% 14.68/10.80 tff(25019,plain,
% 14.68/10.80 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25020,plain,
% 14.68/10.80 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25019, 25018])).
% 14.68/10.80 tff(25021,plain,
% 14.68/10.80 (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25020, 787])).
% 14.68/10.80 tff(25022,plain,
% 14.68/10.80 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25023,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164')).
% 14.68/10.80 tff(25024,plain,
% 14.68/10.80 (nextState(constB164, constB165)),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25023, 25022])).
% 14.68/10.80 tff(25025,plain,
% 14.68/10.80 (((~![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))))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25026,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25027,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 14.68/10.80 tff(25028,plain,
% 14.68/10.80 (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25027, 25024, 596])).
% 14.68/10.80 tff(25029,plain,
% 14.68/10.80 (((~![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))))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25030,plain,
% 14.68/10.80 (((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25031,plain,
% 14.68/10.80 (((~![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)))))))),
% 14.68/10.80 inference(monotonicity,[status(thm)],[25030])).
% 14.68/10.80 tff(25032,plain,
% 14.68/10.80 (((~![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))))))),
% 14.68/10.80 inference(transitivity,[status(thm)],[25031, 25029])).
% 14.68/10.80 tff(25033,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25034,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25033, 25032])).
% 14.68/10.80 tff(25035,plain,
% 14.68/10.80 (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25034, 25024, 616])).
% 14.68/10.80 tff(25036,plain,
% 14.68/10.80 (((~v1(constB165)) | (~v102(constB165))) | v1(constB165)),
% 14.68/10.80 inference(tautology,[status(thm)],[])).
% 14.68/10.80 tff(25037,plain,
% 14.68/10.80 ((~v1(constB165)) | (~v102(constB165))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25036, 24987])).
% 14.68/10.80 tff(25038,plain,
% 14.68/10.80 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165)) | (~((~v1(constB165)) | (~v102(constB165))))),
% 14.68/10.80 inference(tautology,[status(thm)],[])).
% 14.68/10.80 tff(25039,plain,
% 14.68/10.80 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25038, 25037])).
% 14.68/10.80 tff(25040,plain,
% 14.68/10.80 (~v101(constB165)),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25039, 25035])).
% 14.68/10.80 tff(25041,plain,
% 14.68/10.80 (((~v101(constB165)) | (~v110(constB165))) | v101(constB165)),
% 14.68/10.80 inference(tautology,[status(thm)],[])).
% 14.68/10.80 tff(25042,plain,
% 14.68/10.80 ((~v101(constB165)) | (~v110(constB165))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25041, 25040])).
% 14.68/10.80 tff(25043,plain,
% 14.68/10.80 ((~(v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))) | (~v100(constB165)) | (~((~v101(constB165)) | (~v110(constB165))))),
% 14.68/10.80 inference(tautology,[status(thm)],[])).
% 14.68/10.80 tff(25044,plain,
% 14.68/10.80 (~v100(constB165)),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25043, 25042, 25028])).
% 14.68/10.80 tff(25045,plain,
% 14.68/10.80 (((~![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))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25046,plain,
% 14.68/10.80 ((~![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))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25047,plain,
% 14.68/10.80 ((~![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)))),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 14.68/10.80 tff(25048,plain,
% 14.68/10.80 (v100(constB165) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25047, 25024, 645])).
% 14.68/10.80 tff(25049,plain,
% 14.68/10.80 (![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25048, 25044])).
% 14.68/10.80 tff(25050,plain,
% 14.68/10.80 (((~![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)))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25051,plain,
% 14.68/10.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25052,plain,
% 14.68/10.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2))),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25051, 25050])).
% 14.68/10.80 tff(25053,plain,
% 14.68/10.80 (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25052, 579, 25049])).
% 14.68/10.80 tff(25054,plain,
% 14.68/10.80 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25055,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163')).
% 14.68/10.80 tff(25056,plain,
% 14.68/10.80 (nextState(constB163, constB164)),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25055, 25054])).
% 14.68/10.80 tff(25057,plain,
% 14.68/10.80 (((~![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))))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25058,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.80 tff(25059,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))),
% 14.68/10.80 inference(modus_ponens,[status(thm)],[25058, 25057])).
% 14.68/10.80 tff(25060,plain,
% 14.68/10.80 (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))),
% 14.68/10.80 inference(unit_resolution,[status(thm)],[25059, 25056, 596])).
% 14.68/10.80 tff(25061,plain,
% 14.68/10.80 (((~![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))))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25062,plain,
% 14.68/10.80 (((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 14.68/10.80 inference(rewrite,[status(thm)],[])).
% 14.68/10.80 tff(25063,plain,
% 14.68/10.80 (((~![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)))))))),
% 14.68/10.80 inference(monotonicity,[status(thm)],[25062])).
% 14.68/10.80 tff(25064,plain,
% 14.68/10.80 (((~![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))))))),
% 14.68/10.80 inference(transitivity,[status(thm)],[25063, 25061])).
% 14.68/10.80 tff(25065,plain,
% 14.68/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))),
% 14.68/10.80 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25066,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 14.68/10.81 tff(25067,plain,
% 14.68/10.81 (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25066, 25056, 616])).
% 14.68/10.81 tff(25068,plain,
% 14.68/10.81 (((~![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)))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25069,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25070,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 14.68/10.81 tff(25071,plain,
% 14.68/10.81 ((~v102(constB164)) <=> v104(constB164)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25070, 25056, 678])).
% 14.68/10.81 tff(25072,plain,
% 14.68/10.81 (((~![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)))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25073,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25074,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25073, 25072])).
% 14.68/10.81 tff(25075,plain,
% 14.68/10.81 (v104(constB164) <=> v1(constB163)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25074, 25056, 692])).
% 14.68/10.81 tff(25076,plain,
% 14.68/10.81 ((~v1(constB163)) <=> (~v1(constB163))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25077,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163')).
% 14.68/10.81 tff(25078,plain,
% 14.68/10.81 (~v1(constB163)),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 14.68/10.81 tff(25079,plain,
% 14.68/10.81 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164)) | v1(constB163)),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25080,plain,
% 14.68/10.81 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25079, 25078])).
% 14.68/10.81 tff(25081,plain,
% 14.68/10.81 (~v104(constB164)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25080, 25075])).
% 14.68/10.81 tff(25082,plain,
% 14.68/10.81 ((~((~v102(constB164)) <=> v104(constB164))) | v102(constB164) | v104(constB164)),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25083,plain,
% 14.68/10.81 (v102(constB164)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25082, 25081, 25071])).
% 14.68/10.81 tff(25084,plain,
% 14.68/10.81 (v1(constB164) <=> v1(constB164)),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25085,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164')).
% 14.68/10.81 tff(25086,plain,
% 14.68/10.81 (v1(constB164)),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25085, 25084])).
% 14.68/10.81 tff(25087,plain,
% 14.68/10.81 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v1(constB164)) | (~v102(constB164))),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25088,plain,
% 14.68/10.81 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v102(constB164))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25087, 25086])).
% 14.68/10.81 tff(25089,plain,
% 14.68/10.81 (~((~v1(constB164)) | (~v102(constB164)))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25088, 25083])).
% 14.68/10.81 tff(25090,plain,
% 14.68/10.81 ((~(v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))) | v101(constB164) | ((~v1(constB164)) | (~v102(constB164)))),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25091,plain,
% 14.68/10.81 (v101(constB164)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25090, 25089, 25067])).
% 14.68/10.81 tff(25092,plain,
% 14.68/10.81 (((~![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)))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25093,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25094,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25093, 25092])).
% 14.68/10.81 tff(25095,plain,
% 14.68/10.81 (v110(constB164) <=> v108(constB163)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25094, 25056, 722])).
% 14.68/10.81 tff(25096,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB163) <=> (v111(constB163) | v112(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25097,plain,
% 14.68/10.81 (v108(constB163) <=> (v111(constB163) | v112(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25096, 733])).
% 14.68/10.81 tff(25098,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25099,plain,
% 14.68/10.81 (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163))))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25098, 745])).
% 14.68/10.81 tff(25100,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB163) <=> (v114(constB163) | v125(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25101,plain,
% 14.68/10.81 (v113(constB163) <=> (v114(constB163) | v125(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25100, 754])).
% 14.68/10.81 tff(25102,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB163) <=> (v115(constB163) | v124(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25103,plain,
% 14.68/10.81 (v114(constB163) <=> (v115(constB163) | v124(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25102, 763])).
% 14.68/10.81 tff(25104,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB163) <=> (v116(constB163) | v123(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25105,plain,
% 14.68/10.81 (v115(constB163) <=> (v116(constB163) | v123(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25104, 772])).
% 14.68/10.81 tff(25106,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB163) <=> (v117(constB163) | v122(constB163)))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25107,plain,
% 14.68/10.81 (v116(constB163) <=> (v117(constB163) | v122(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25106, 885])).
% 14.68/10.81 tff(25108,plain,
% 14.68/10.81 (((~![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))))))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25109,plain,
% 14.68/10.81 ((v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1))))) <=> (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25110,plain,
% 14.68/10.81 (((~![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))))))),
% 14.68/10.81 inference(monotonicity,[status(thm)],[25109])).
% 14.68/10.81 tff(25111,plain,
% 14.68/10.81 (((~![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))))))),
% 14.68/10.81 inference(transitivity,[status(thm)],[25110, 25108])).
% 14.68/10.81 tff(25112,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25113,plain,
% 14.68/10.81 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25112, 25111])).
% 14.68/10.81 tff(25114,plain,
% 14.68/10.81 (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25113, 900])).
% 14.68/10.81 tff(25115,plain,
% 14.68/10.81 (((~![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))))))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25116,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25117,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25116, 25115])).
% 14.68/10.81 tff(25118,plain,
% 14.68/10.81 (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25117, 19232, 596])).
% 14.68/10.81 tff(25119,plain,
% 14.68/10.81 (((~![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))))))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25120,plain,
% 14.68/10.81 (((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 14.68/10.81 inference(rewrite,[status(thm)],[])).
% 14.68/10.81 tff(25121,plain,
% 14.68/10.81 (((~![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)))))))),
% 14.68/10.81 inference(monotonicity,[status(thm)],[25120])).
% 14.68/10.81 tff(25122,plain,
% 14.68/10.81 (((~![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))))))),
% 14.68/10.81 inference(transitivity,[status(thm)],[25121, 25119])).
% 14.68/10.81 tff(25123,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))),
% 14.68/10.81 inference(quant_inst,[status(thm)],[])).
% 14.68/10.81 tff(25124,plain,
% 14.68/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))),
% 14.68/10.81 inference(modus_ponens,[status(thm)],[25123, 25122])).
% 14.68/10.81 tff(25125,plain,
% 14.68/10.81 (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25124, 19232, 616])).
% 14.68/10.81 tff(25126,plain,
% 14.68/10.81 (((~v1(constB163)) | (~v102(constB163))) | v1(constB163)),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25127,plain,
% 14.68/10.81 ((~v1(constB163)) | (~v102(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25126, 25078])).
% 14.68/10.81 tff(25128,plain,
% 14.68/10.81 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163)) | (~((~v1(constB163)) | (~v102(constB163))))),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25129,plain,
% 14.68/10.81 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25128, 25127])).
% 14.68/10.81 tff(25130,plain,
% 14.68/10.81 (~v101(constB163)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25129, 25125])).
% 14.68/10.81 tff(25131,plain,
% 14.68/10.81 (((~v101(constB163)) | (~v110(constB163))) | v101(constB163)),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25132,plain,
% 14.68/10.81 ((~v101(constB163)) | (~v110(constB163))),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25131, 25130])).
% 14.68/10.81 tff(25133,plain,
% 14.68/10.81 ((~(v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))) | (~v100(constB163)) | (~((~v101(constB163)) | (~v110(constB163))))),
% 14.68/10.81 inference(tautology,[status(thm)],[])).
% 14.68/10.81 tff(25134,plain,
% 14.68/10.81 (~v100(constB163)),
% 14.68/10.81 inference(unit_resolution,[status(thm)],[25133, 25132, 25118])).
% 14.68/10.81 tff(25135,plain,
% 14.68/10.81 (((~![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))))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25136,plain,
% 14.68/10.82 ((~![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))))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25137,plain,
% 14.68/10.82 ((~![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)))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 14.68/10.82 tff(25138,plain,
% 14.68/10.82 (v100(constB163) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25137, 19232, 645])).
% 14.68/10.82 tff(25139,plain,
% 14.68/10.82 (![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25138, 25134])).
% 14.68/10.82 tff(25140,plain,
% 14.68/10.82 (((~![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)))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25141,plain,
% 14.68/10.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25142,plain,
% 14.68/10.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 14.68/10.82 tff(25143,plain,
% 14.68/10.82 (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25142, 579, 25139])).
% 14.68/10.82 tff(25144,plain,
% 14.68/10.82 (((~![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))))))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25145,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25146,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 14.68/10.82 tff(25147,plain,
% 14.68/10.82 (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25146, 19279, 596])).
% 14.68/10.82 tff(25148,plain,
% 14.68/10.82 (((~![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))))))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25149,plain,
% 14.68/10.82 (((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25150,plain,
% 14.68/10.82 (((~![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)))))))),
% 14.68/10.82 inference(monotonicity,[status(thm)],[25149])).
% 14.68/10.82 tff(25151,plain,
% 14.68/10.82 (((~![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))))))),
% 14.68/10.82 inference(transitivity,[status(thm)],[25150, 25148])).
% 14.68/10.82 tff(25152,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25153,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 14.68/10.82 tff(25154,plain,
% 14.68/10.82 (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25153, 19279, 616])).
% 14.68/10.82 tff(25155,plain,
% 14.68/10.82 (((~![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)))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25156,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25157,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 14.68/10.82 tff(25158,plain,
% 14.68/10.82 ((~v102(constB162)) <=> v104(constB162)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25157, 19279, 678])).
% 14.68/10.82 tff(25159,plain,
% 14.68/10.82 (((~![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)))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25160,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25161,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25160, 25159])).
% 14.68/10.82 tff(25162,plain,
% 14.68/10.82 (v104(constB162) <=> v1(constB161)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25161, 19279, 692])).
% 14.68/10.82 tff(25163,plain,
% 14.68/10.82 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162)) | v1(constB161)),
% 14.68/10.82 inference(tautology,[status(thm)],[])).
% 14.68/10.82 tff(25164,plain,
% 14.68/10.82 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25163, 19338])).
% 14.68/10.82 tff(25165,plain,
% 14.68/10.82 (~v104(constB162)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25164, 25162])).
% 14.68/10.82 tff(25166,plain,
% 14.68/10.82 ((~((~v102(constB162)) <=> v104(constB162))) | v102(constB162) | v104(constB162)),
% 14.68/10.82 inference(tautology,[status(thm)],[])).
% 14.68/10.82 tff(25167,plain,
% 14.68/10.82 (v102(constB162)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25166, 25165, 25158])).
% 14.68/10.82 tff(25168,plain,
% 14.68/10.82 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v1(constB162)) | (~v102(constB162))),
% 14.68/10.82 inference(tautology,[status(thm)],[])).
% 14.68/10.82 tff(25169,plain,
% 14.68/10.82 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v102(constB162))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25168, 19251])).
% 14.68/10.82 tff(25170,plain,
% 14.68/10.82 (~((~v1(constB162)) | (~v102(constB162)))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25169, 25167])).
% 14.68/10.82 tff(25171,plain,
% 14.68/10.82 ((~(v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))) | v101(constB162) | ((~v1(constB162)) | (~v102(constB162)))),
% 14.68/10.82 inference(tautology,[status(thm)],[])).
% 14.68/10.82 tff(25172,plain,
% 14.68/10.82 (v101(constB162)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25171, 25170, 25154])).
% 14.68/10.82 tff(25173,plain,
% 14.68/10.82 (((~![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)))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25174,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25175,plain,
% 14.68/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25174, 25173])).
% 14.68/10.82 tff(25176,plain,
% 14.68/10.82 (v110(constB162) <=> v108(constB161)),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25175, 19279, 722])).
% 14.68/10.82 tff(25177,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB161) <=> (v111(constB161) | v112(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25178,plain,
% 14.68/10.82 (v108(constB161) <=> (v111(constB161) | v112(constB161))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25177, 733])).
% 14.68/10.82 tff(25179,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25180,plain,
% 14.68/10.82 (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161))))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25179, 745])).
% 14.68/10.82 tff(25181,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB161) <=> (v114(constB161) | v125(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25182,plain,
% 14.68/10.82 (v113(constB161) <=> (v114(constB161) | v125(constB161))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25181, 754])).
% 14.68/10.82 tff(25183,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB161) <=> (v115(constB161) | v124(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25184,plain,
% 14.68/10.82 (v114(constB161) <=> (v115(constB161) | v124(constB161))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25183, 763])).
% 14.68/10.82 tff(25185,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB161) <=> (v116(constB161) | v123(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25186,plain,
% 14.68/10.82 (v115(constB161) <=> (v116(constB161) | v123(constB161))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25185, 772])).
% 14.68/10.82 tff(25187,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB161) <=> (v117(constB161) | v122(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25188,plain,
% 14.68/10.82 (v116(constB161) <=> (v117(constB161) | v122(constB161))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25187, 885])).
% 14.68/10.82 tff(25189,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB161) <=> (v118(constB161) | v121(constB161)))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25190,plain,
% 14.68/10.82 (v117(constB161) <=> (v118(constB161) | v121(constB161))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25189, 1000])).
% 14.68/10.82 tff(25191,plain,
% 14.68/10.82 (((~![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)))))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25192,plain,
% 14.68/10.82 ((v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1))))) <=> (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))),
% 14.68/10.82 inference(rewrite,[status(thm)],[])).
% 14.68/10.82 tff(25193,plain,
% 14.68/10.82 (((~![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)))))),
% 14.68/10.82 inference(monotonicity,[status(thm)],[25192])).
% 14.68/10.82 tff(25194,plain,
% 14.68/10.82 (((~![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)))))),
% 14.68/10.82 inference(transitivity,[status(thm)],[25193, 25191])).
% 14.68/10.82 tff(25195,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))),
% 14.68/10.82 inference(quant_inst,[status(thm)],[])).
% 14.68/10.82 tff(25196,plain,
% 14.68/10.82 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))),
% 14.68/10.82 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 14.68/10.82 tff(25197,plain,
% 14.68/10.82 (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)))),
% 14.68/10.82 inference(unit_resolution,[status(thm)],[25196, 1015])).
% 14.68/10.82 tff(25198,plain,
% 14.68/10.82 ((~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)),
% 14.68/10.82 inference(tautology,[status(thm)],[])).
% 14.68/10.82 tff(25199,plain,
% 14.68/10.82 (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25198, 24234, 24189, 24303])).
% 14.68/10.83 tff(25200,plain,
% 14.68/10.83 ((~(v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))) | v121(constB161) | (v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25201,plain,
% 14.68/10.83 (v121(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25200, 25199, 25197])).
% 14.68/10.83 tff(25202,plain,
% 14.68/10.83 ((v118(constB161) | v121(constB161)) | (~v121(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25203,plain,
% 14.68/10.83 (v118(constB161) | v121(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25202, 25201])).
% 14.68/10.83 tff(25204,plain,
% 14.68/10.83 ((~(v117(constB161) <=> (v118(constB161) | v121(constB161)))) | v117(constB161) | (~(v118(constB161) | v121(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25205,plain,
% 14.68/10.83 (v117(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25204, 25203, 25190])).
% 14.68/10.83 tff(25206,plain,
% 14.68/10.83 ((v117(constB161) | v122(constB161)) | (~v117(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25207,plain,
% 14.68/10.83 (v117(constB161) | v122(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25206, 25205])).
% 14.68/10.83 tff(25208,plain,
% 14.68/10.83 ((~(v116(constB161) <=> (v117(constB161) | v122(constB161)))) | v116(constB161) | (~(v117(constB161) | v122(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25209,plain,
% 14.68/10.83 (v116(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25208, 25207, 25188])).
% 14.68/10.83 tff(25210,plain,
% 14.68/10.83 ((v116(constB161) | v123(constB161)) | (~v116(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25211,plain,
% 14.68/10.83 (v116(constB161) | v123(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25210, 25209])).
% 14.68/10.83 tff(25212,plain,
% 14.68/10.83 ((~(v115(constB161) <=> (v116(constB161) | v123(constB161)))) | v115(constB161) | (~(v116(constB161) | v123(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25213,plain,
% 14.68/10.83 (v115(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25212, 25211, 25186])).
% 14.68/10.83 tff(25214,plain,
% 14.68/10.83 ((v115(constB161) | v124(constB161)) | (~v115(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25215,plain,
% 14.68/10.83 (v115(constB161) | v124(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25214, 25213])).
% 14.68/10.83 tff(25216,plain,
% 14.68/10.83 ((~(v114(constB161) <=> (v115(constB161) | v124(constB161)))) | v114(constB161) | (~(v115(constB161) | v124(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25217,plain,
% 14.68/10.83 (v114(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25216, 25215, 25184])).
% 14.68/10.83 tff(25218,plain,
% 14.68/10.83 ((v114(constB161) | v125(constB161)) | (~v114(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25219,plain,
% 14.68/10.83 (v114(constB161) | v125(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25218, 25217])).
% 14.68/10.83 tff(25220,plain,
% 14.68/10.83 ((~(v113(constB161) <=> (v114(constB161) | v125(constB161)))) | v113(constB161) | (~(v114(constB161) | v125(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25221,plain,
% 14.68/10.83 (v113(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25220, 25219, 25182])).
% 14.68/10.83 tff(25222,plain,
% 14.68/10.83 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB161)) <=> v111(constB161))),
% 14.68/10.83 inference(quant_inst,[status(thm)],[])).
% 14.68/10.83 tff(25223,plain,
% 14.68/10.83 ((~v126(constB161)) <=> v111(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25222, 1345])).
% 14.68/10.83 tff(25224,plain,
% 14.68/10.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB161) <=> v26(constB161))),
% 14.68/10.83 inference(quant_inst,[status(thm)],[])).
% 14.68/10.83 tff(25225,plain,
% 14.68/10.83 (v111(constB161) <=> v26(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25224, 1357])).
% 14.68/10.83 tff(25226,plain,
% 14.68/10.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 14.68/10.83 inference(quant_inst,[status(thm)],[])).
% 14.68/10.83 tff(25227,plain,
% 14.68/10.83 (~v26(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25226, 1369])).
% 14.68/10.83 tff(25228,plain,
% 14.68/10.83 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161)) | v26(constB161)),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25229,plain,
% 14.68/10.83 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161))),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25228, 25227])).
% 14.68/10.83 tff(25230,plain,
% 14.68/10.83 (~v111(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25229, 25225])).
% 14.68/10.83 tff(25231,plain,
% 14.68/10.83 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161) | v111(constB161)),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25232,plain,
% 14.68/10.83 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25231, 25230])).
% 14.68/10.83 tff(25233,plain,
% 14.68/10.83 (v126(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25232, 25223])).
% 14.68/10.83 tff(25234,plain,
% 14.68/10.83 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161)) | (~v126(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25235,plain,
% 14.68/10.83 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161))),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25234, 25233])).
% 14.68/10.83 tff(25236,plain,
% 14.68/10.83 (~((~v113(constB161)) | (~v126(constB161)))),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25235, 25221])).
% 14.68/10.83 tff(25237,plain,
% 14.68/10.83 ((~(v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))) | v112(constB161) | ((~v113(constB161)) | (~v126(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25238,plain,
% 14.68/10.83 (v112(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25237, 25236, 25180])).
% 14.68/10.83 tff(25239,plain,
% 14.68/10.83 ((v111(constB161) | v112(constB161)) | (~v112(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25240,plain,
% 14.68/10.83 (v111(constB161) | v112(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25239, 25238])).
% 14.68/10.83 tff(25241,plain,
% 14.68/10.83 ((~(v108(constB161) <=> (v111(constB161) | v112(constB161)))) | v108(constB161) | (~(v111(constB161) | v112(constB161)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25242,plain,
% 14.68/10.83 (v108(constB161)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25241, 25240, 25178])).
% 14.68/10.83 tff(25243,plain,
% 14.68/10.83 ((~(v110(constB162) <=> v108(constB161))) | v110(constB162) | (~v108(constB161))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25244,plain,
% 14.68/10.83 (v110(constB162)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25243, 25242, 25176])).
% 14.68/10.83 tff(25245,plain,
% 14.68/10.83 ((~((~v101(constB162)) | (~v110(constB162)))) | (~v101(constB162)) | (~v110(constB162))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25246,plain,
% 14.68/10.83 (~((~v101(constB162)) | (~v110(constB162)))),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25245, 25244, 25172])).
% 14.68/10.83 tff(25247,plain,
% 14.68/10.83 ((~(v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))) | v100(constB162) | ((~v101(constB162)) | (~v110(constB162)))),
% 14.68/10.83 inference(tautology,[status(thm)],[])).
% 14.68/10.83 tff(25248,plain,
% 14.68/10.83 (v100(constB162)),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25247, 25246, 25147])).
% 14.68/10.83 tff(25249,plain,
% 14.68/10.83 (((~![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))))),
% 14.68/10.83 inference(rewrite,[status(thm)],[])).
% 14.68/10.83 tff(25250,plain,
% 14.68/10.83 ((~![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))))),
% 14.68/10.83 inference(quant_inst,[status(thm)],[])).
% 14.68/10.83 tff(25251,plain,
% 14.68/10.83 ((~![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)))),
% 14.68/10.83 inference(modus_ponens,[status(thm)],[25250, 25249])).
% 14.68/10.83 tff(25252,plain,
% 14.68/10.83 ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 14.68/10.83 inference(unit_resolution,[status(thm)],[25251, 1405])).
% 14.78/10.83 tff(25253,plain,
% 14.78/10.83 (![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25252, 25248])).
% 14.78/10.83 tff(25254,plain,
% 14.78/10.83 (((~![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)))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25255,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25256,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 14.78/10.83 tff(25257,plain,
% 14.78/10.83 (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25256, 579, 25253])).
% 14.78/10.83 tff(25258,plain,
% 14.78/10.83 (((~![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))))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25259,plain,
% 14.78/10.83 ((~![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))))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25260,plain,
% 14.78/10.83 ((~![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)))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 14.78/10.83 tff(25261,plain,
% 14.78/10.83 (![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25260, 19279, 1427])).
% 14.78/10.83 tff(25262,plain,
% 14.78/10.83 (((~![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)))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25263,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25264,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 14.78/10.83 tff(25265,plain,
% 14.78/10.83 (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25264, 579, 25261])).
% 14.78/10.83 tff(25266,plain,
% 14.78/10.83 (((~![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))))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25267,plain,
% 14.78/10.83 ((~![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))))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25268,plain,
% 14.78/10.83 ((~![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)))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25267, 25266])).
% 14.78/10.83 tff(25269,plain,
% 14.78/10.83 (![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25268, 1448, 25230])).
% 14.78/10.83 tff(25270,plain,
% 14.78/10.83 (((~![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)))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25271,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25272,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 14.78/10.83 tff(25273,plain,
% 14.78/10.83 (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25272, 579, 25269])).
% 14.78/10.83 tff(25274,plain,
% 14.78/10.83 (((~![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))))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25275,plain,
% 14.78/10.83 ((~![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))))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25276,plain,
% 14.78/10.83 ((~![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)))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25275, 25274])).
% 14.78/10.83 tff(25277,plain,
% 14.78/10.83 ((~v121(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25276, 1832])).
% 14.78/10.83 tff(25278,plain,
% 14.78/10.83 (![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25277, 25201])).
% 14.78/10.83 tff(25279,plain,
% 14.78/10.83 (((~![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)))),
% 14.78/10.83 inference(rewrite,[status(thm)],[])).
% 14.78/10.83 tff(25280,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b011(bitIndex2)))),
% 14.78/10.83 inference(quant_inst,[status(thm)],[])).
% 14.78/10.83 tff(25281,plain,
% 14.78/10.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b011(bitIndex2))),
% 14.78/10.83 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 14.78/10.83 tff(25282,plain,
% 14.78/10.83 (v130(constB161, bitIndex2) <=> b011(bitIndex2)),
% 14.78/10.83 inference(unit_resolution,[status(thm)],[25281, 579, 25278])).
% 14.78/10.83 tff(25283,plain,
% 14.78/10.83 ((~(v130(constB161, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB161, bitIndex2)) | b011(bitIndex2)),
% 14.78/10.83 inference(tautology,[status(thm)],[])).
% 14.78/10.83 tff(25284,plain,
% 14.78/10.83 ((~(v130(constB161, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB161, bitIndex2))),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25283, 1844])).
% 14.78/10.84 tff(25285,plain,
% 14.78/10.84 (~v130(constB161, bitIndex2)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25284, 25282])).
% 14.78/10.84 tff(25286,plain,
% 14.78/10.84 ((~(v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2))) | (~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25287,plain,
% 14.78/10.84 (~v127(constB161, bitIndex2)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25286, 25285, 25273])).
% 14.78/10.84 tff(25288,plain,
% 14.78/10.84 ((~(v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2))) | (~v129(constB162, bitIndex2)) | v127(constB161, bitIndex2)),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25289,plain,
% 14.78/10.84 (~v129(constB162, bitIndex2)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25288, 25287, 25265])).
% 14.78/10.84 tff(25290,plain,
% 14.78/10.84 ((~(v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2)),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25291,plain,
% 14.78/10.84 (~v90(constB162, bitIndex2)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25290, 25289, 25257])).
% 14.78/10.84 tff(25292,plain,
% 14.78/10.84 ((~(v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2))) | (~v90(constB163, bitIndex2)) | v90(constB162, bitIndex2)),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25293,plain,
% 14.78/10.84 (~v90(constB163, bitIndex2)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25292, 25291, 25143])).
% 14.78/10.84 tff(25294,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25295,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25296,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 14.78/10.84 tff(25297,plain,
% 14.78/10.84 (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25296, 1275, 25139])).
% 14.78/10.84 tff(25298,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25299,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25300,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 14.78/10.84 tff(25301,plain,
% 14.78/10.84 (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25300, 1275, 25253])).
% 14.78/10.84 tff(25302,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25303,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25304,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25303, 25302])).
% 14.78/10.84 tff(25305,plain,
% 14.78/10.84 (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25304, 1275, 25261])).
% 14.78/10.84 tff(25306,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25307,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25308,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 14.78/10.84 tff(25309,plain,
% 14.78/10.84 (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25308, 1275, 25269])).
% 14.78/10.84 tff(25310,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25311,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b011(bitIndex0)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25312,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b011(bitIndex0))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 14.78/10.84 tff(25313,plain,
% 14.78/10.84 (v130(constB161, bitIndex0) <=> b011(bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25312, 1275, 25278])).
% 14.78/10.84 tff(25314,plain,
% 14.78/10.84 ((~(v130(constB161, bitIndex0) <=> b011(bitIndex0))) | v130(constB161, bitIndex0) | (~b011(bitIndex0))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25315,plain,
% 14.78/10.84 ((~(v130(constB161, bitIndex0) <=> b011(bitIndex0))) | v130(constB161, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25314, 1878])).
% 14.78/10.84 tff(25316,plain,
% 14.78/10.84 (v130(constB161, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25315, 25313])).
% 14.78/10.84 tff(25317,plain,
% 14.78/10.84 ((~(v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0))) | v127(constB161, bitIndex0) | (~v130(constB161, bitIndex0))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25318,plain,
% 14.78/10.84 (v127(constB161, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25317, 25316, 25309])).
% 14.78/10.84 tff(25319,plain,
% 14.78/10.84 ((~(v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0))) | v129(constB162, bitIndex0) | (~v127(constB161, bitIndex0))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25320,plain,
% 14.78/10.84 (v129(constB162, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25319, 25318, 25305])).
% 14.78/10.84 tff(25321,plain,
% 14.78/10.84 ((~(v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25322,plain,
% 14.78/10.84 (v90(constB162, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25321, 25320, 25301])).
% 14.78/10.84 tff(25323,plain,
% 14.78/10.84 ((~(v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0))) | v90(constB163, bitIndex0) | (~v90(constB162, bitIndex0))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25324,plain,
% 14.78/10.84 (v90(constB163, bitIndex0)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25323, 25322, 25297])).
% 14.78/10.84 tff(25325,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25326,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25327,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25326, 25325])).
% 14.78/10.84 tff(25328,plain,
% 14.78/10.84 (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25327, 1288, 25139])).
% 14.78/10.84 tff(25329,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25330,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25331,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25330, 25329])).
% 14.78/10.84 tff(25332,plain,
% 14.78/10.84 (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25331, 1288, 25253])).
% 14.78/10.84 tff(25333,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25334,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25335,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 14.78/10.84 tff(25336,plain,
% 14.78/10.84 (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25335, 1288, 25261])).
% 14.78/10.84 tff(25337,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25338,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25339,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25338, 25337])).
% 14.78/10.84 tff(25340,plain,
% 14.78/10.84 (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25339, 1288, 25269])).
% 14.78/10.84 tff(25341,plain,
% 14.78/10.84 (((~![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)))),
% 14.78/10.84 inference(rewrite,[status(thm)],[])).
% 14.78/10.84 tff(25342,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b011(bitIndex1)))),
% 14.78/10.84 inference(quant_inst,[status(thm)],[])).
% 14.78/10.84 tff(25343,plain,
% 14.78/10.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b011(bitIndex1))),
% 14.78/10.84 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 14.78/10.84 tff(25344,plain,
% 14.78/10.84 (v130(constB161, bitIndex1) <=> b011(bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25343, 1288, 25278])).
% 14.78/10.84 tff(25345,plain,
% 14.78/10.84 ((~(v130(constB161, bitIndex1) <=> b011(bitIndex1))) | v130(constB161, bitIndex1) | (~b011(bitIndex1))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25346,plain,
% 14.78/10.84 ((~(v130(constB161, bitIndex1) <=> b011(bitIndex1))) | v130(constB161, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25345, 1912])).
% 14.78/10.84 tff(25347,plain,
% 14.78/10.84 (v130(constB161, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25346, 25344])).
% 14.78/10.84 tff(25348,plain,
% 14.78/10.84 ((~(v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1))) | v127(constB161, bitIndex1) | (~v130(constB161, bitIndex1))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25349,plain,
% 14.78/10.84 (v127(constB161, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25348, 25347, 25340])).
% 14.78/10.84 tff(25350,plain,
% 14.78/10.84 ((~(v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1))) | v129(constB162, bitIndex1) | (~v127(constB161, bitIndex1))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25351,plain,
% 14.78/10.84 (v129(constB162, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25350, 25349, 25336])).
% 14.78/10.84 tff(25352,plain,
% 14.78/10.84 ((~(v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25353,plain,
% 14.78/10.84 (v90(constB162, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25352, 25351, 25332])).
% 14.78/10.84 tff(25354,plain,
% 14.78/10.84 ((~(v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1))) | v90(constB163, bitIndex1) | (~v90(constB162, bitIndex1))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25355,plain,
% 14.78/10.84 (v90(constB163, bitIndex1)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25354, 25353, 25328])).
% 14.78/10.84 tff(25356,plain,
% 14.78/10.84 ((~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))) | v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25357,plain,
% 14.78/10.84 (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25356, 25355, 25324, 25293])).
% 14.78/10.84 tff(25358,plain,
% 14.78/10.84 ((~(v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))) | v122(constB163) | (v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25359,plain,
% 14.78/10.84 (v122(constB163)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25358, 25357, 25114])).
% 14.78/10.84 tff(25360,plain,
% 14.78/10.84 ((v117(constB163) | v122(constB163)) | (~v122(constB163))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25361,plain,
% 14.78/10.84 (v117(constB163) | v122(constB163)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25360, 25359])).
% 14.78/10.84 tff(25362,plain,
% 14.78/10.84 ((~(v116(constB163) <=> (v117(constB163) | v122(constB163)))) | v116(constB163) | (~(v117(constB163) | v122(constB163)))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25363,plain,
% 14.78/10.84 (v116(constB163)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25362, 25361, 25107])).
% 14.78/10.84 tff(25364,plain,
% 14.78/10.84 ((v116(constB163) | v123(constB163)) | (~v116(constB163))),
% 14.78/10.84 inference(tautology,[status(thm)],[])).
% 14.78/10.84 tff(25365,plain,
% 14.78/10.84 (v116(constB163) | v123(constB163)),
% 14.78/10.84 inference(unit_resolution,[status(thm)],[25364, 25363])).
% 14.78/10.85 tff(25366,plain,
% 14.78/10.85 ((~(v115(constB163) <=> (v116(constB163) | v123(constB163)))) | v115(constB163) | (~(v116(constB163) | v123(constB163)))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25367,plain,
% 14.78/10.85 (v115(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25366, 25365, 25105])).
% 14.78/10.85 tff(25368,plain,
% 14.78/10.85 ((v115(constB163) | v124(constB163)) | (~v115(constB163))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25369,plain,
% 14.78/10.85 (v115(constB163) | v124(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25368, 25367])).
% 14.78/10.85 tff(25370,plain,
% 14.78/10.85 ((~(v114(constB163) <=> (v115(constB163) | v124(constB163)))) | v114(constB163) | (~(v115(constB163) | v124(constB163)))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25371,plain,
% 14.78/10.85 (v114(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25370, 25369, 25103])).
% 14.78/10.85 tff(25372,plain,
% 14.78/10.85 ((v114(constB163) | v125(constB163)) | (~v114(constB163))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25373,plain,
% 14.78/10.85 (v114(constB163) | v125(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25372, 25371])).
% 14.78/10.85 tff(25374,plain,
% 14.78/10.85 ((~(v113(constB163) <=> (v114(constB163) | v125(constB163)))) | v113(constB163) | (~(v114(constB163) | v125(constB163)))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25375,plain,
% 14.78/10.85 (v113(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25374, 25373, 25101])).
% 14.78/10.85 tff(25376,plain,
% 14.78/10.85 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB163)) <=> v111(constB163))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25377,plain,
% 14.78/10.85 ((~v126(constB163)) <=> v111(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25376, 1345])).
% 14.78/10.85 tff(25378,plain,
% 14.78/10.85 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB163) <=> v26(constB163))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25379,plain,
% 14.78/10.85 (v111(constB163) <=> v26(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25378, 1357])).
% 14.78/10.85 tff(25380,plain,
% 14.78/10.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25381,plain,
% 14.78/10.85 (~v26(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25380, 1369])).
% 14.78/10.85 tff(25382,plain,
% 14.78/10.85 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163)) | v26(constB163)),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25383,plain,
% 14.78/10.85 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25382, 25381])).
% 14.78/10.85 tff(25384,plain,
% 14.78/10.85 (~v111(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25383, 25379])).
% 14.78/10.85 tff(25385,plain,
% 14.78/10.85 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163) | v111(constB163)),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25386,plain,
% 14.78/10.85 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25385, 25384])).
% 14.78/10.85 tff(25387,plain,
% 14.78/10.85 (v126(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25386, 25377])).
% 14.78/10.85 tff(25388,plain,
% 14.78/10.85 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163)) | (~v126(constB163))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25389,plain,
% 14.78/10.85 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25388, 25387])).
% 14.78/10.85 tff(25390,plain,
% 14.78/10.85 (~((~v113(constB163)) | (~v126(constB163)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25389, 25375])).
% 14.78/10.85 tff(25391,plain,
% 14.78/10.85 ((~(v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))) | v112(constB163) | ((~v113(constB163)) | (~v126(constB163)))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25392,plain,
% 14.78/10.85 (v112(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25391, 25390, 25099])).
% 14.78/10.85 tff(25393,plain,
% 14.78/10.85 ((v111(constB163) | v112(constB163)) | (~v112(constB163))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25394,plain,
% 14.78/10.85 (v111(constB163) | v112(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25393, 25392])).
% 14.78/10.85 tff(25395,plain,
% 14.78/10.85 ((~(v108(constB163) <=> (v111(constB163) | v112(constB163)))) | v108(constB163) | (~(v111(constB163) | v112(constB163)))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25396,plain,
% 14.78/10.85 (v108(constB163)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25395, 25394, 25097])).
% 14.78/10.85 tff(25397,plain,
% 14.78/10.85 ((~(v110(constB164) <=> v108(constB163))) | v110(constB164) | (~v108(constB163))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25398,plain,
% 14.78/10.85 (v110(constB164)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25397, 25396, 25095])).
% 14.78/10.85 tff(25399,plain,
% 14.78/10.85 ((~((~v101(constB164)) | (~v110(constB164)))) | (~v101(constB164)) | (~v110(constB164))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25400,plain,
% 14.78/10.85 (~((~v101(constB164)) | (~v110(constB164)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25399, 25398, 25091])).
% 14.78/10.85 tff(25401,plain,
% 14.78/10.85 ((~(v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))) | v100(constB164) | ((~v101(constB164)) | (~v110(constB164)))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25402,plain,
% 14.78/10.85 (v100(constB164)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25401, 25400, 25060])).
% 14.78/10.85 tff(25403,plain,
% 14.78/10.85 (((~![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))))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25404,plain,
% 14.78/10.85 ((~![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))))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25405,plain,
% 14.78/10.85 ((~![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)))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 14.78/10.85 tff(25406,plain,
% 14.78/10.85 ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25405, 1405])).
% 14.78/10.85 tff(25407,plain,
% 14.78/10.85 (![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25406, 25402])).
% 14.78/10.85 tff(25408,plain,
% 14.78/10.85 (((~![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)))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25409,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25410,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 14.78/10.85 tff(25411,plain,
% 14.78/10.85 (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25410, 579, 25407])).
% 14.78/10.85 tff(25412,plain,
% 14.78/10.85 (((~![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))))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25413,plain,
% 14.78/10.85 ((~![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))))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25414,plain,
% 14.78/10.85 ((~![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)))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25413, 25412])).
% 14.78/10.85 tff(25415,plain,
% 14.78/10.85 (![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25414, 25056, 1427])).
% 14.78/10.85 tff(25416,plain,
% 14.78/10.85 (((~![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)))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25417,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25418,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 14.78/10.85 tff(25419,plain,
% 14.78/10.85 (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25418, 579, 25415])).
% 14.78/10.85 tff(25420,plain,
% 14.78/10.85 (((~![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))))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25421,plain,
% 14.78/10.85 ((~![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))))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25422,plain,
% 14.78/10.85 ((~![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)))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 14.78/10.85 tff(25423,plain,
% 14.78/10.85 (![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25422, 1448, 25384])).
% 14.78/10.85 tff(25424,plain,
% 14.78/10.85 (((~![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)))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25425,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25426,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25425, 25424])).
% 14.78/10.85 tff(25427,plain,
% 14.78/10.85 (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25426, 579, 25423])).
% 14.78/10.85 tff(25428,plain,
% 14.78/10.85 (((~![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))))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25429,plain,
% 14.78/10.85 ((~![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))))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25430,plain,
% 14.78/10.85 ((~![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)))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25429, 25428])).
% 14.78/10.85 tff(25431,plain,
% 14.78/10.85 ((~v122(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25430, 2008])).
% 14.78/10.85 tff(25432,plain,
% 14.78/10.85 (![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25431, 25359])).
% 14.78/10.85 tff(25433,plain,
% 14.78/10.85 (((~![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)))),
% 14.78/10.85 inference(rewrite,[status(thm)],[])).
% 14.78/10.85 tff(25434,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b100(bitIndex2)))),
% 14.78/10.85 inference(quant_inst,[status(thm)],[])).
% 14.78/10.85 tff(25435,plain,
% 14.78/10.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b100(bitIndex2))),
% 14.78/10.85 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 14.78/10.85 tff(25436,plain,
% 14.78/10.85 (v130(constB163, bitIndex2) <=> b100(bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25435, 579, 25432])).
% 14.78/10.85 tff(25437,plain,
% 14.78/10.85 ((~(v130(constB163, bitIndex2) <=> b100(bitIndex2))) | v130(constB163, bitIndex2) | (~b100(bitIndex2))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25438,plain,
% 14.78/10.85 ((~(v130(constB163, bitIndex2) <=> b100(bitIndex2))) | v130(constB163, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25437, 2020])).
% 14.78/10.85 tff(25439,plain,
% 14.78/10.85 (v130(constB163, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25438, 25436])).
% 14.78/10.85 tff(25440,plain,
% 14.78/10.85 ((~(v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2))) | v127(constB163, bitIndex2) | (~v130(constB163, bitIndex2))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25441,plain,
% 14.78/10.85 (v127(constB163, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25440, 25439, 25427])).
% 14.78/10.85 tff(25442,plain,
% 14.78/10.85 ((~(v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2))) | v129(constB164, bitIndex2) | (~v127(constB163, bitIndex2))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25443,plain,
% 14.78/10.85 (v129(constB164, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25442, 25441, 25419])).
% 14.78/10.85 tff(25444,plain,
% 14.78/10.85 ((~(v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25445,plain,
% 14.78/10.85 (v90(constB164, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25444, 25443, 25411])).
% 14.78/10.85 tff(25446,plain,
% 14.78/10.85 ((~(v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2))) | v90(constB165, bitIndex2) | (~v90(constB164, bitIndex2))),
% 14.78/10.85 inference(tautology,[status(thm)],[])).
% 14.78/10.85 tff(25447,plain,
% 14.78/10.85 (v90(constB165, bitIndex2)),
% 14.78/10.85 inference(unit_resolution,[status(thm)],[25446, 25445, 25053])).
% 14.78/10.85 tff(25448,plain,
% 14.78/10.85 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25449,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25450,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25449, 25448])).
% 14.78/10.86 tff(25451,plain,
% 14.78/10.86 (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25450, 1275, 25049])).
% 14.78/10.86 tff(25452,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25453,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25454,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25453, 25452])).
% 14.78/10.86 tff(25455,plain,
% 14.78/10.86 (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25454, 1275, 25407])).
% 14.78/10.86 tff(25456,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25457,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25458,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25457, 25456])).
% 14.78/10.86 tff(25459,plain,
% 14.78/10.86 (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25458, 1275, 25415])).
% 14.78/10.86 tff(25460,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25461,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25462,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25461, 25460])).
% 14.78/10.86 tff(25463,plain,
% 14.78/10.86 (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25462, 1275, 25423])).
% 14.78/10.86 tff(25464,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25465,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b100(bitIndex0)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25466,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b100(bitIndex0))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25465, 25464])).
% 14.78/10.86 tff(25467,plain,
% 14.78/10.86 (v130(constB163, bitIndex0) <=> b100(bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25466, 1275, 25432])).
% 14.78/10.86 tff(25468,plain,
% 14.78/10.86 ((~(v130(constB163, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB163, bitIndex0)) | b100(bitIndex0)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25469,plain,
% 14.78/10.86 ((~(v130(constB163, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB163, bitIndex0))),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25468, 2054])).
% 14.78/10.86 tff(25470,plain,
% 14.78/10.86 (~v130(constB163, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25469, 25467])).
% 14.78/10.86 tff(25471,plain,
% 14.78/10.86 ((~(v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0))) | (~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25472,plain,
% 14.78/10.86 (~v127(constB163, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25471, 25470, 25463])).
% 14.78/10.86 tff(25473,plain,
% 14.78/10.86 ((~(v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0))) | (~v129(constB164, bitIndex0)) | v127(constB163, bitIndex0)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25474,plain,
% 14.78/10.86 (~v129(constB164, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25473, 25472, 25459])).
% 14.78/10.86 tff(25475,plain,
% 14.78/10.86 ((~(v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25476,plain,
% 14.78/10.86 (~v90(constB164, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25475, 25474, 25455])).
% 14.78/10.86 tff(25477,plain,
% 14.78/10.86 ((~(v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0))) | (~v90(constB165, bitIndex0)) | v90(constB164, bitIndex0)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25478,plain,
% 14.78/10.86 (~v90(constB165, bitIndex0)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25477, 25476, 25451])).
% 14.78/10.86 tff(25479,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25480,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25481,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25480, 25479])).
% 14.78/10.86 tff(25482,plain,
% 14.78/10.86 (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25481, 1288, 25049])).
% 14.78/10.86 tff(25483,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25484,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25485,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 14.78/10.86 tff(25486,plain,
% 14.78/10.86 (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25485, 1288, 25407])).
% 14.78/10.86 tff(25487,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25488,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25489,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25488, 25487])).
% 14.78/10.86 tff(25490,plain,
% 14.78/10.86 (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25489, 1288, 25415])).
% 14.78/10.86 tff(25491,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25492,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25493,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 14.78/10.86 tff(25494,plain,
% 14.78/10.86 (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25493, 1288, 25423])).
% 14.78/10.86 tff(25495,plain,
% 14.78/10.86 (((~![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)))),
% 14.78/10.86 inference(rewrite,[status(thm)],[])).
% 14.78/10.86 tff(25496,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b100(bitIndex1)))),
% 14.78/10.86 inference(quant_inst,[status(thm)],[])).
% 14.78/10.86 tff(25497,plain,
% 14.78/10.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b100(bitIndex1))),
% 14.78/10.86 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 14.78/10.86 tff(25498,plain,
% 14.78/10.86 (v130(constB163, bitIndex1) <=> b100(bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25497, 1288, 25432])).
% 14.78/10.86 tff(25499,plain,
% 14.78/10.86 ((~(v130(constB163, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB163, bitIndex1)) | b100(bitIndex1)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25500,plain,
% 14.78/10.86 ((~(v130(constB163, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB163, bitIndex1))),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25499, 2088])).
% 14.78/10.86 tff(25501,plain,
% 14.78/10.86 (~v130(constB163, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25500, 25498])).
% 14.78/10.86 tff(25502,plain,
% 14.78/10.86 ((~(v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1))) | (~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25503,plain,
% 14.78/10.86 (~v127(constB163, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25502, 25501, 25494])).
% 14.78/10.86 tff(25504,plain,
% 14.78/10.86 ((~(v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1))) | (~v129(constB164, bitIndex1)) | v127(constB163, bitIndex1)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25505,plain,
% 14.78/10.86 (~v129(constB164, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25504, 25503, 25490])).
% 14.78/10.86 tff(25506,plain,
% 14.78/10.86 ((~(v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25507,plain,
% 14.78/10.86 (~v90(constB164, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25506, 25505, 25486])).
% 14.78/10.86 tff(25508,plain,
% 14.78/10.86 ((~(v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1))) | (~v90(constB165, bitIndex1)) | v90(constB164, bitIndex1)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25509,plain,
% 14.78/10.86 (~v90(constB165, bitIndex1)),
% 14.78/10.86 inference(unit_resolution,[status(thm)],[25508, 25507, 25482])).
% 14.78/10.86 tff(25510,plain,
% 14.78/10.86 ((~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)),
% 14.78/10.86 inference(tautology,[status(thm)],[])).
% 14.78/10.86 tff(25511,plain,
% 14.78/10.86 (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25510, 25509, 25478, 25447])).
% 14.78/10.87 tff(25512,plain,
% 14.78/10.87 ((~(v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))) | v123(constB165) | ((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25513,plain,
% 14.78/10.87 (v123(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25512, 25511, 25021])).
% 14.78/10.87 tff(25514,plain,
% 14.78/10.87 ((v116(constB165) | v123(constB165)) | (~v123(constB165))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25515,plain,
% 14.78/10.87 (v116(constB165) | v123(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25514, 25513])).
% 14.78/10.87 tff(25516,plain,
% 14.78/10.87 ((~(v115(constB165) <=> (v116(constB165) | v123(constB165)))) | v115(constB165) | (~(v116(constB165) | v123(constB165)))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25517,plain,
% 14.78/10.87 (v115(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25516, 25515, 25014])).
% 14.78/10.87 tff(25518,plain,
% 14.78/10.87 ((v115(constB165) | v124(constB165)) | (~v115(constB165))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25519,plain,
% 14.78/10.87 (v115(constB165) | v124(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25518, 25517])).
% 14.78/10.87 tff(25520,plain,
% 14.78/10.87 ((~(v114(constB165) <=> (v115(constB165) | v124(constB165)))) | v114(constB165) | (~(v115(constB165) | v124(constB165)))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25521,plain,
% 14.78/10.87 (v114(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25520, 25519, 25012])).
% 14.78/10.87 tff(25522,plain,
% 14.78/10.87 ((v114(constB165) | v125(constB165)) | (~v114(constB165))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25523,plain,
% 14.78/10.87 (v114(constB165) | v125(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25522, 25521])).
% 14.78/10.87 tff(25524,plain,
% 14.78/10.87 ((~(v113(constB165) <=> (v114(constB165) | v125(constB165)))) | v113(constB165) | (~(v114(constB165) | v125(constB165)))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25525,plain,
% 14.78/10.87 (v113(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25524, 25523, 25010])).
% 14.78/10.87 tff(25526,plain,
% 14.78/10.87 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB165)) <=> v111(constB165))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25527,plain,
% 14.78/10.87 ((~v126(constB165)) <=> v111(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25526, 1345])).
% 14.78/10.87 tff(25528,plain,
% 14.78/10.87 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB165) <=> v26(constB165))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25529,plain,
% 14.78/10.87 (v111(constB165) <=> v26(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25528, 1357])).
% 14.78/10.87 tff(25530,plain,
% 14.78/10.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25531,plain,
% 14.78/10.87 (~v26(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25530, 1369])).
% 14.78/10.87 tff(25532,plain,
% 14.78/10.87 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165)) | v26(constB165)),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25533,plain,
% 14.78/10.87 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25532, 25531])).
% 14.78/10.87 tff(25534,plain,
% 14.78/10.87 (~v111(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25533, 25529])).
% 14.78/10.87 tff(25535,plain,
% 14.78/10.87 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165) | v111(constB165)),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25536,plain,
% 14.78/10.87 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25535, 25534])).
% 14.78/10.87 tff(25537,plain,
% 14.78/10.87 (v126(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25536, 25527])).
% 14.78/10.87 tff(25538,plain,
% 14.78/10.87 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165)) | (~v126(constB165))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25539,plain,
% 14.78/10.87 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25538, 25537])).
% 14.78/10.87 tff(25540,plain,
% 14.78/10.87 (~((~v113(constB165)) | (~v126(constB165)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25539, 25525])).
% 14.78/10.87 tff(25541,plain,
% 14.78/10.87 ((~(v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))) | v112(constB165) | ((~v113(constB165)) | (~v126(constB165)))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25542,plain,
% 14.78/10.87 (v112(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25541, 25540, 25008])).
% 14.78/10.87 tff(25543,plain,
% 14.78/10.87 ((v111(constB165) | v112(constB165)) | (~v112(constB165))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25544,plain,
% 14.78/10.87 (v111(constB165) | v112(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25543, 25542])).
% 14.78/10.87 tff(25545,plain,
% 14.78/10.87 ((~(v108(constB165) <=> (v111(constB165) | v112(constB165)))) | v108(constB165) | (~(v111(constB165) | v112(constB165)))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25546,plain,
% 14.78/10.87 (v108(constB165)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25545, 25544, 25006])).
% 14.78/10.87 tff(25547,plain,
% 14.78/10.87 ((~(v110(constB166) <=> v108(constB165))) | v110(constB166) | (~v108(constB165))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25548,plain,
% 14.78/10.87 (v110(constB166)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25547, 25546, 25004])).
% 14.78/10.87 tff(25549,plain,
% 14.78/10.87 ((~((~v101(constB166)) | (~v110(constB166)))) | (~v101(constB166)) | (~v110(constB166))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25550,plain,
% 14.78/10.87 (~((~v101(constB166)) | (~v110(constB166)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25549, 25548, 25000])).
% 14.78/10.87 tff(25551,plain,
% 14.78/10.87 ((~(v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))) | v100(constB166) | ((~v101(constB166)) | (~v110(constB166)))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25552,plain,
% 14.78/10.87 (v100(constB166)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25551, 25550, 24969])).
% 14.78/10.87 tff(25553,plain,
% 14.78/10.87 (((~![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))))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25554,plain,
% 14.78/10.87 ((~![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))))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25555,plain,
% 14.78/10.87 ((~![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)))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25554, 25553])).
% 14.78/10.87 tff(25556,plain,
% 14.78/10.87 ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25555, 1405])).
% 14.78/10.87 tff(25557,plain,
% 14.78/10.87 (![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25556, 25552])).
% 14.78/10.87 tff(25558,plain,
% 14.78/10.87 (((~![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)))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25559,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25560,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 14.78/10.87 tff(25561,plain,
% 14.78/10.87 (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25560, 579, 25557])).
% 14.78/10.87 tff(25562,plain,
% 14.78/10.87 (((~![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))))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25563,plain,
% 14.78/10.87 ((~![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))))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25564,plain,
% 14.78/10.87 ((~![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)))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 14.78/10.87 tff(25565,plain,
% 14.78/10.87 (![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25564, 24965, 1427])).
% 14.78/10.87 tff(25566,plain,
% 14.78/10.87 (((~![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)))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25567,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25568,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25567, 25566])).
% 14.78/10.87 tff(25569,plain,
% 14.78/10.87 (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25568, 579, 25565])).
% 14.78/10.87 tff(25570,plain,
% 14.78/10.87 (((~![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))))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25571,plain,
% 14.78/10.87 ((~![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))))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25572,plain,
% 14.78/10.87 ((~![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)))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25571, 25570])).
% 14.78/10.87 tff(25573,plain,
% 14.78/10.87 (![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25572, 1448, 25534])).
% 14.78/10.87 tff(25574,plain,
% 14.78/10.87 (((~![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)))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25575,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25576,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25575, 25574])).
% 14.78/10.87 tff(25577,plain,
% 14.78/10.87 (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25576, 579, 25573])).
% 14.78/10.87 tff(25578,plain,
% 14.78/10.87 (((~![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))))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25579,plain,
% 14.78/10.87 ((~![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))))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25580,plain,
% 14.78/10.87 ((~![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)))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 14.78/10.87 tff(25581,plain,
% 14.78/10.87 ((~v123(constB165)) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25580, 2180])).
% 14.78/10.87 tff(25582,plain,
% 14.78/10.87 (![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25581, 25513])).
% 14.78/10.87 tff(25583,plain,
% 14.78/10.87 (((~![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)))),
% 14.78/10.87 inference(rewrite,[status(thm)],[])).
% 14.78/10.87 tff(25584,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b101(bitIndex2)))),
% 14.78/10.87 inference(quant_inst,[status(thm)],[])).
% 14.78/10.87 tff(25585,plain,
% 14.78/10.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b101(bitIndex2))),
% 14.78/10.87 inference(modus_ponens,[status(thm)],[25584, 25583])).
% 14.78/10.87 tff(25586,plain,
% 14.78/10.87 (v130(constB165, bitIndex2) <=> b101(bitIndex2)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25585, 579, 25582])).
% 14.78/10.87 tff(25587,plain,
% 14.78/10.87 ((~(v130(constB165, bitIndex2) <=> b101(bitIndex2))) | v130(constB165, bitIndex2) | (~b101(bitIndex2))),
% 14.78/10.87 inference(tautology,[status(thm)],[])).
% 14.78/10.87 tff(25588,plain,
% 14.78/10.87 ((~(v130(constB165, bitIndex2) <=> b101(bitIndex2))) | v130(constB165, bitIndex2)),
% 14.78/10.87 inference(unit_resolution,[status(thm)],[25587, 2192])).
% 14.78/10.88 tff(25589,plain,
% 14.78/10.88 (v130(constB165, bitIndex2)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25588, 25586])).
% 14.78/10.88 tff(25590,plain,
% 14.78/10.88 ((~(v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2))) | v127(constB165, bitIndex2) | (~v130(constB165, bitIndex2))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25591,plain,
% 14.78/10.88 (v127(constB165, bitIndex2)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25590, 25589, 25577])).
% 14.78/10.88 tff(25592,plain,
% 14.78/10.88 ((~(v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2))) | v129(constB166, bitIndex2) | (~v127(constB165, bitIndex2))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25593,plain,
% 14.78/10.88 (v129(constB166, bitIndex2)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25592, 25591, 25569])).
% 14.78/10.88 tff(25594,plain,
% 14.78/10.88 ((~(v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25595,plain,
% 14.78/10.88 (v90(constB166, bitIndex2)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25594, 25593, 25561])).
% 14.78/10.88 tff(25596,plain,
% 14.78/10.88 ((~(v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2))) | v90(constB167, bitIndex2) | (~v90(constB166, bitIndex2))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25597,plain,
% 14.78/10.88 (v90(constB167, bitIndex2)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25596, 25595, 24962])).
% 14.78/10.88 tff(25598,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25599,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25600,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25599, 25598])).
% 14.78/10.88 tff(25601,plain,
% 14.78/10.88 (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25600, 1275, 24958])).
% 14.78/10.88 tff(25602,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25603,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25604,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25603, 25602])).
% 14.78/10.88 tff(25605,plain,
% 14.78/10.88 (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25604, 1275, 25557])).
% 14.78/10.88 tff(25606,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25607,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25608,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25607, 25606])).
% 14.78/10.88 tff(25609,plain,
% 14.78/10.88 (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25608, 1275, 25565])).
% 14.78/10.88 tff(25610,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25611,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25612,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 14.78/10.88 tff(25613,plain,
% 14.78/10.88 (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25612, 1275, 25573])).
% 14.78/10.88 tff(25614,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25615,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b101(bitIndex0)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25616,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b101(bitIndex0))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25615, 25614])).
% 14.78/10.88 tff(25617,plain,
% 14.78/10.88 (v130(constB165, bitIndex0) <=> b101(bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25616, 1275, 25582])).
% 14.78/10.88 tff(25618,plain,
% 14.78/10.88 ((~(v130(constB165, bitIndex0) <=> b101(bitIndex0))) | v130(constB165, bitIndex0) | (~b101(bitIndex0))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25619,plain,
% 14.78/10.88 ((~(v130(constB165, bitIndex0) <=> b101(bitIndex0))) | v130(constB165, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25618, 2351])).
% 14.78/10.88 tff(25620,plain,
% 14.78/10.88 (v130(constB165, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25619, 25617])).
% 14.78/10.88 tff(25621,plain,
% 14.78/10.88 ((~(v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0))) | v127(constB165, bitIndex0) | (~v130(constB165, bitIndex0))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25622,plain,
% 14.78/10.88 (v127(constB165, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25621, 25620, 25613])).
% 14.78/10.88 tff(25623,plain,
% 14.78/10.88 ((~(v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0))) | v129(constB166, bitIndex0) | (~v127(constB165, bitIndex0))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25624,plain,
% 14.78/10.88 (v129(constB166, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25623, 25622, 25609])).
% 14.78/10.88 tff(25625,plain,
% 14.78/10.88 ((~(v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25626,plain,
% 14.78/10.88 (v90(constB166, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25625, 25624, 25605])).
% 14.78/10.88 tff(25627,plain,
% 14.78/10.88 ((~(v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0))) | v90(constB167, bitIndex0) | (~v90(constB166, bitIndex0))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25628,plain,
% 14.78/10.88 (v90(constB167, bitIndex0)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25627, 25626, 25601])).
% 14.78/10.88 tff(25629,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25630,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25631,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 14.78/10.88 tff(25632,plain,
% 14.78/10.88 (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25631, 1288, 24958])).
% 14.78/10.88 tff(25633,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25634,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25635,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 14.78/10.88 tff(25636,plain,
% 14.78/10.88 (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25635, 1288, 25557])).
% 14.78/10.88 tff(25637,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25638,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25639,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25638, 25637])).
% 14.78/10.88 tff(25640,plain,
% 14.78/10.88 (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25639, 1288, 25565])).
% 14.78/10.88 tff(25641,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25642,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25643,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25642, 25641])).
% 14.78/10.88 tff(25644,plain,
% 14.78/10.88 (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25643, 1288, 25573])).
% 14.78/10.88 tff(25645,plain,
% 14.78/10.88 (((~![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)))),
% 14.78/10.88 inference(rewrite,[status(thm)],[])).
% 14.78/10.88 tff(25646,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b101(bitIndex1)))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25647,plain,
% 14.78/10.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b101(bitIndex1))),
% 14.78/10.88 inference(modus_ponens,[status(thm)],[25646, 25645])).
% 14.78/10.88 tff(25648,plain,
% 14.78/10.88 (v130(constB165, bitIndex1) <=> b101(bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25647, 1288, 25582])).
% 14.78/10.88 tff(25649,plain,
% 14.78/10.88 ((~(v130(constB165, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB165, bitIndex1)) | b101(bitIndex1)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25650,plain,
% 14.78/10.88 ((~(v130(constB165, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB165, bitIndex1))),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25649, 2391])).
% 14.78/10.88 tff(25651,plain,
% 14.78/10.88 (~v130(constB165, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25650, 25648])).
% 14.78/10.88 tff(25652,plain,
% 14.78/10.88 ((~(v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1))) | (~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25653,plain,
% 14.78/10.88 (~v127(constB165, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25652, 25651, 25644])).
% 14.78/10.88 tff(25654,plain,
% 14.78/10.88 ((~(v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1))) | (~v129(constB166, bitIndex1)) | v127(constB165, bitIndex1)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25655,plain,
% 14.78/10.88 (~v129(constB166, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25654, 25653, 25640])).
% 14.78/10.88 tff(25656,plain,
% 14.78/10.88 ((~(v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25657,plain,
% 14.78/10.88 (~v90(constB166, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25656, 25655, 25636])).
% 14.78/10.88 tff(25658,plain,
% 14.78/10.88 ((~(v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1))) | (~v90(constB167, bitIndex1)) | v90(constB166, bitIndex1)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25659,plain,
% 14.78/10.88 (~v90(constB167, bitIndex1)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25658, 25657, 25632])).
% 14.78/10.88 tff(25660,plain,
% 14.78/10.88 ((~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))) | (~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25661,plain,
% 14.78/10.88 (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25660, 25659, 25628, 25597])).
% 14.78/10.88 tff(25662,plain,
% 14.78/10.88 ((~(v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))) | v124(constB167) | ((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25663,plain,
% 14.78/10.88 (v124(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25662, 25661, 24930])).
% 14.78/10.88 tff(25664,plain,
% 14.78/10.88 ((v115(constB167) | v124(constB167)) | (~v124(constB167))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25665,plain,
% 14.78/10.88 (v115(constB167) | v124(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25664, 25663])).
% 14.78/10.88 tff(25666,plain,
% 14.78/10.88 ((~(v114(constB167) <=> (v115(constB167) | v124(constB167)))) | v114(constB167) | (~(v115(constB167) | v124(constB167)))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25667,plain,
% 14.78/10.88 (v114(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25666, 25665, 24923])).
% 14.78/10.88 tff(25668,plain,
% 14.78/10.88 ((v114(constB167) | v125(constB167)) | (~v114(constB167))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25669,plain,
% 14.78/10.88 (v114(constB167) | v125(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25668, 25667])).
% 14.78/10.88 tff(25670,plain,
% 14.78/10.88 ((~(v113(constB167) <=> (v114(constB167) | v125(constB167)))) | v113(constB167) | (~(v114(constB167) | v125(constB167)))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25671,plain,
% 14.78/10.88 (v113(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25670, 25669, 24921])).
% 14.78/10.88 tff(25672,plain,
% 14.78/10.88 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB167)) <=> v111(constB167))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25673,plain,
% 14.78/10.88 ((~v126(constB167)) <=> v111(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25672, 1345])).
% 14.78/10.88 tff(25674,plain,
% 14.78/10.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB167) <=> v26(constB167))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25675,plain,
% 14.78/10.88 (v111(constB167) <=> v26(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25674, 1357])).
% 14.78/10.88 tff(25676,plain,
% 14.78/10.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 14.78/10.88 inference(quant_inst,[status(thm)],[])).
% 14.78/10.88 tff(25677,plain,
% 14.78/10.88 (~v26(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25676, 1369])).
% 14.78/10.88 tff(25678,plain,
% 14.78/10.88 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167)) | v26(constB167)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25679,plain,
% 14.78/10.88 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167))),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25678, 25677])).
% 14.78/10.88 tff(25680,plain,
% 14.78/10.88 (~v111(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25679, 25675])).
% 14.78/10.88 tff(25681,plain,
% 14.78/10.88 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167) | v111(constB167)),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25682,plain,
% 14.78/10.88 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25681, 25680])).
% 14.78/10.88 tff(25683,plain,
% 14.78/10.88 (v126(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25682, 25673])).
% 14.78/10.88 tff(25684,plain,
% 14.78/10.88 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167)) | (~v126(constB167))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25685,plain,
% 14.78/10.88 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167))),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25684, 25683])).
% 14.78/10.88 tff(25686,plain,
% 14.78/10.88 (~((~v113(constB167)) | (~v126(constB167)))),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25685, 25671])).
% 14.78/10.88 tff(25687,plain,
% 14.78/10.88 ((~(v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))) | v112(constB167) | ((~v113(constB167)) | (~v126(constB167)))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25688,plain,
% 14.78/10.88 (v112(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25687, 25686, 24919])).
% 14.78/10.88 tff(25689,plain,
% 14.78/10.88 ((v111(constB167) | v112(constB167)) | (~v112(constB167))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25690,plain,
% 14.78/10.88 (v111(constB167) | v112(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25689, 25688])).
% 14.78/10.88 tff(25691,plain,
% 14.78/10.88 ((~(v108(constB167) <=> (v111(constB167) | v112(constB167)))) | v108(constB167) | (~(v111(constB167) | v112(constB167)))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25692,plain,
% 14.78/10.88 (v108(constB167)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25691, 25690, 24917])).
% 14.78/10.88 tff(25693,plain,
% 14.78/10.88 ((~(v110(constB168) <=> v108(constB167))) | v110(constB168) | (~v108(constB167))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25694,plain,
% 14.78/10.88 (v110(constB168)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25693, 25692, 24915])).
% 14.78/10.88 tff(25695,plain,
% 14.78/10.88 ((~((~v101(constB168)) | (~v110(constB168)))) | (~v101(constB168)) | (~v110(constB168))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25696,plain,
% 14.78/10.88 (~((~v101(constB168)) | (~v110(constB168)))),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25695, 25694, 24911])).
% 14.78/10.88 tff(25697,plain,
% 14.78/10.88 ((~(v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))) | v100(constB168) | ((~v101(constB168)) | (~v110(constB168)))),
% 14.78/10.88 inference(tautology,[status(thm)],[])).
% 14.78/10.88 tff(25698,plain,
% 14.78/10.88 (v100(constB168)),
% 14.78/10.88 inference(unit_resolution,[status(thm)],[25697, 25696, 24880])).
% 14.78/10.88 tff(25699,plain,
% 14.78/10.88 (((~![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))))),
% 14.78/10.89 inference(rewrite,[status(thm)],[])).
% 14.78/10.89 tff(25700,plain,
% 14.78/10.89 ((~![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))))),
% 14.78/10.89 inference(quant_inst,[status(thm)],[])).
% 14.78/10.89 tff(25701,plain,
% 14.78/10.89 ((~![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)))),
% 14.78/10.89 inference(modus_ponens,[status(thm)],[25700, 25699])).
% 14.78/10.89 tff(25702,plain,
% 14.78/10.89 ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 14.78/10.89 inference(unit_resolution,[status(thm)],[25701, 1405])).
% 14.78/10.89 tff(25703,plain,
% 14.78/10.89 (![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 14.78/10.89 inference(unit_resolution,[status(thm)],[25702, 25698])).
% 14.78/10.89 tff(25704,plain,
% 14.78/10.89 (((~![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)))),
% 14.78/10.89 inference(rewrite,[status(thm)],[])).
% 14.78/10.89 tff(25705,plain,
% 14.78/10.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))),
% 14.78/10.89 inference(quant_inst,[status(thm)],[])).
% 14.78/10.89 tff(25706,plain,
% 14.78/10.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2))),
% 14.78/10.89 inference(modus_ponens,[status(thm)],[25705, 25704])).
% 14.78/10.89 tff(25707,plain,
% 14.78/10.89 (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)),
% 14.78/10.89 inference(unit_resolution,[status(thm)],[25706, 579, 25703])).
% 14.78/10.89 tff(25708,plain,
% 14.78/10.89 (((~![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))))),
% 14.78/10.89 inference(rewrite,[status(thm)],[])).
% 14.78/10.89 tff(25709,plain,
% 14.78/10.89 ((~![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))))),
% 14.78/10.89 inference(quant_inst,[status(thm)],[])).
% 14.78/10.89 tff(25710,plain,
% 14.78/10.89 ((~![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)))),
% 14.78/10.89 inference(modus_ponens,[status(thm)],[25709, 25708])).
% 14.78/10.89 tff(25711,plain,
% 14.78/10.89 (![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))),
% 14.78/10.89 inference(unit_resolution,[status(thm)],[25710, 24876, 1427])).
% 14.78/10.89 tff(25712,plain,
% 14.78/10.89 (((~![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)))),
% 14.78/10.89 inference(rewrite,[status(thm)],[])).
% 14.78/10.89 tff(25713,plain,
% 14.83/10.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))),
% 14.83/10.89 inference(quant_inst,[status(thm)],[])).
% 14.83/10.89 tff(25714,plain,
% 14.83/10.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2))),
% 14.83/10.89 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 14.83/10.89 tff(25715,plain,
% 14.83/10.89 (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25714, 579, 25711])).
% 14.83/10.89 tff(25716,plain,
% 14.83/10.89 (((~![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))))),
% 14.83/10.89 inference(rewrite,[status(thm)],[])).
% 14.83/10.89 tff(25717,plain,
% 14.83/10.89 ((~![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))))),
% 14.83/10.89 inference(quant_inst,[status(thm)],[])).
% 14.83/10.89 tff(25718,plain,
% 14.83/10.89 ((~![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)))),
% 14.83/10.89 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 14.83/10.89 tff(25719,plain,
% 14.83/10.89 (![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25718, 1448, 25680])).
% 14.83/10.89 tff(25720,plain,
% 14.83/10.89 (((~![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)))),
% 14.83/10.89 inference(rewrite,[status(thm)],[])).
% 14.83/10.89 tff(25721,plain,
% 14.83/10.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))),
% 14.83/10.89 inference(quant_inst,[status(thm)],[])).
% 14.83/10.89 tff(25722,plain,
% 14.83/10.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2))),
% 14.83/10.89 inference(modus_ponens,[status(thm)],[25721, 25720])).
% 14.83/10.89 tff(25723,plain,
% 14.83/10.89 (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25722, 579, 25719])).
% 14.83/10.89 tff(25724,plain,
% 14.83/10.89 (((~![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))))),
% 14.83/10.89 inference(rewrite,[status(thm)],[])).
% 14.83/10.89 tff(25725,plain,
% 14.83/10.89 ((~![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))))),
% 14.83/10.89 inference(quant_inst,[status(thm)],[])).
% 14.83/10.89 tff(25726,plain,
% 14.83/10.89 ((~![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)))),
% 14.83/10.89 inference(modus_ponens,[status(thm)],[25725, 25724])).
% 14.83/10.89 tff(25727,plain,
% 14.83/10.89 ((~v124(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25726, 2735])).
% 14.83/10.89 tff(25728,plain,
% 14.83/10.89 (![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25727, 25663])).
% 14.83/10.89 tff(25729,plain,
% 14.83/10.89 (((~![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)))),
% 14.83/10.89 inference(rewrite,[status(thm)],[])).
% 14.83/10.89 tff(25730,plain,
% 14.83/10.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b110(bitIndex2)))),
% 14.83/10.89 inference(quant_inst,[status(thm)],[])).
% 14.83/10.89 tff(25731,plain,
% 14.83/10.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b110(bitIndex2))),
% 14.83/10.89 inference(modus_ponens,[status(thm)],[25730, 25729])).
% 14.83/10.89 tff(25732,plain,
% 14.83/10.89 (v130(constB167, bitIndex2) <=> b110(bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25731, 579, 25728])).
% 14.83/10.89 tff(25733,plain,
% 14.83/10.89 ((~(v130(constB167, bitIndex2) <=> b110(bitIndex2))) | v130(constB167, bitIndex2) | (~b110(bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25734,plain,
% 14.83/10.89 ((~(v130(constB167, bitIndex2) <=> b110(bitIndex2))) | v130(constB167, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25733, 2747])).
% 14.83/10.89 tff(25735,plain,
% 14.83/10.89 (v130(constB167, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25734, 25732])).
% 14.83/10.89 tff(25736,plain,
% 14.83/10.89 ((~(v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2))) | v127(constB167, bitIndex2) | (~v130(constB167, bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25737,plain,
% 14.83/10.89 (v127(constB167, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25736, 25735, 25723])).
% 14.83/10.89 tff(25738,plain,
% 14.83/10.89 ((~(v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2))) | v129(constB168, bitIndex2) | (~v127(constB167, bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25739,plain,
% 14.83/10.89 (v129(constB168, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25738, 25737, 25715])).
% 14.83/10.89 tff(25740,plain,
% 14.83/10.89 ((~(v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25741,plain,
% 14.83/10.89 (v90(constB168, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25740, 25739, 25707])).
% 14.83/10.89 tff(25742,plain,
% 14.83/10.89 ((~(v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2))) | v90(constB169, bitIndex2) | (~v90(constB168, bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25743,plain,
% 14.83/10.89 (v90(constB169, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25742, 25741, 24873])).
% 14.83/10.89 tff(25744,plain,
% 14.83/10.89 ((~(v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2))) | v88(constB169, bitIndex2) | (~v90(constB169, bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25745,plain,
% 14.83/10.89 (v88(constB169, bitIndex2)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25744, 25743, 24841])).
% 14.83/10.89 tff(25746,plain,
% 14.83/10.89 ((v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex0))) | (~v88(constB169, bitIndex2))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25747,plain,
% 14.83/10.89 (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex0))),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25746, 25745])).
% 14.83/10.89 tff(25748,plain,
% 14.83/10.89 ((~(v141(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex0)))))) | (~v141(constB169)) | (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex0))))),
% 14.83/10.89 inference(tautology,[status(thm)],[])).
% 14.83/10.89 tff(25749,plain,
% 14.83/10.89 (~v141(constB169)),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25748, 25747, 24837])).
% 14.83/10.89 tff(25750,plain,
% 14.83/10.89 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB169) <=> (v139(constB169) | v140(constB169)))),
% 14.83/10.89 inference(quant_inst,[status(thm)],[])).
% 14.83/10.89 tff(25751,plain,
% 14.83/10.89 (v170(constB169) <=> (v139(constB169) | v140(constB169))),
% 14.83/10.89 inference(unit_resolution,[status(thm)],[25750, 2216])).
% 14.83/10.89 tff(25752,plain,
% 14.83/10.89 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2))))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25753,plain,
% 14.83/10.90 (v139(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25752, 2231])).
% 14.83/10.90 tff(25754,plain,
% 14.83/10.90 ((v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex2))),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25755,plain,
% 14.83/10.90 (v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25754, 25745])).
% 14.83/10.90 tff(25756,plain,
% 14.83/10.90 ((~(v139(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2))))) | (~v139(constB169)) | (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)))),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25757,plain,
% 14.83/10.90 (~v139(constB169)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25756, 25755, 25753])).
% 14.83/10.90 tff(25758,plain,
% 14.83/10.90 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))))))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25759,plain,
% 14.83/10.90 ((v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0))))) <=> (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0)))))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25760,plain,
% 14.83/10.90 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))))))),
% 14.83/10.90 inference(monotonicity,[status(thm)],[25759])).
% 14.83/10.90 tff(25761,plain,
% 14.83/10.90 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))))))),
% 14.83/10.90 inference(transitivity,[status(thm)],[25760, 25758])).
% 14.83/10.90 tff(25762,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0)))))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25763,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0)))))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 14.83/10.90 tff(25764,plain,
% 14.83/10.90 (v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25763, 2250])).
% 14.83/10.90 tff(25765,plain,
% 14.83/10.90 ((v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))) | (~v88(constB169, bitIndex2))),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25766,plain,
% 14.83/10.90 (v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25765, 25745])).
% 14.83/10.90 tff(25767,plain,
% 14.83/10.90 ((~(v140(constB169) <=> (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0)))))) | (~v140(constB169)) | (~(v88(constB169, bitIndex2) | v88(constB169, bitIndex1) | (~v88(constB169, bitIndex0))))),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25768,plain,
% 14.83/10.90 (~v140(constB169)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25767, 25766, 25764])).
% 14.83/10.90 tff(25769,plain,
% 14.83/10.90 ((~(v139(constB169) | v140(constB169))) | v139(constB169) | v140(constB169)),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25770,plain,
% 14.83/10.90 (~(v139(constB169) | v140(constB169))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25769, 25768, 25757])).
% 14.83/10.90 tff(25771,plain,
% 14.83/10.90 ((~(v170(constB169) <=> (v139(constB169) | v140(constB169)))) | (~v170(constB169)) | (v139(constB169) | v140(constB169))),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25772,plain,
% 14.83/10.90 (~v170(constB169)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25771, 25770, 25751])).
% 14.83/10.90 tff(25773,plain,
% 14.83/10.90 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB169) | v170(constB169) | (~v169(constB169)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB169) | v170(constB169) | (~v169(constB169)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25774,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB169) | v170(constB169) | (~v169(constB169)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25775,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB169) | v170(constB169) | (~v169(constB169))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25774, 25773])).
% 14.83/10.90 tff(25776,plain,
% 14.83/10.90 (v141(constB169) | v170(constB169) | (~v169(constB169))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25775, 2278])).
% 14.83/10.90 tff(25777,plain,
% 14.83/10.90 (~v169(constB169)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25776, 25772, 25749])).
% 14.83/10.90 tff(25778,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB169) <=> (v145(constB169) | v166(constB169)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25779,plain,
% 14.83/10.90 (v165(constB169) <=> (v145(constB169) | v166(constB169))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25778, 2293])).
% 14.83/10.90 tff(25780,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB169) <=> (v142(constB169) | v167(constB169)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25781,plain,
% 14.83/10.90 (v166(constB169) <=> (v142(constB169) | v167(constB169))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25780, 2804])).
% 14.83/10.90 tff(25782,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB169) <=> (v143(constB169) | v144(constB169)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25783,plain,
% 14.83/10.90 (v142(constB169) <=> (v143(constB169) | v144(constB169))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25782, 2813])).
% 14.83/10.90 tff(25784,plain,
% 14.83/10.90 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1))))))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25785,plain,
% 14.83/10.90 ((v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2))))) <=> (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25786,plain,
% 14.83/10.90 (((~![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, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1))))))),
% 14.83/10.90 inference(monotonicity,[status(thm)],[25785])).
% 14.83/10.90 tff(25787,plain,
% 14.83/10.90 (((~![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, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1))))))),
% 14.83/10.90 inference(transitivity,[status(thm)],[25786, 25784])).
% 14.83/10.90 tff(25788,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25789,plain,
% 14.83/10.90 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25788, 25787])).
% 14.83/10.90 tff(25790,plain,
% 14.83/10.90 (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1))))),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25789, 2828])).
% 14.83/10.90 tff(25791,plain,
% 14.83/10.90 (((~![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)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25792,plain,
% 14.83/10.90 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25793,plain,
% 14.83/10.90 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25792, 25791])).
% 14.83/10.90 tff(25794,plain,
% 14.83/10.90 (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25793, 1275, 576])).
% 14.83/10.90 tff(25795,plain,
% 14.83/10.90 (((~![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)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25796,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25797,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25796, 25795])).
% 14.83/10.90 tff(25798,plain,
% 14.83/10.90 (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25797, 1275, 24869])).
% 14.83/10.90 tff(25799,plain,
% 14.83/10.90 (((~![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)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25800,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25801,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 14.83/10.90 tff(25802,plain,
% 14.83/10.90 (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25801, 1275, 25703])).
% 14.83/10.90 tff(25803,plain,
% 14.83/10.90 (((~![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)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25804,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25805,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25804, 25803])).
% 14.83/10.90 tff(25806,plain,
% 14.83/10.90 (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25805, 1275, 25711])).
% 14.83/10.90 tff(25807,plain,
% 14.83/10.90 (((~![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)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25808,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25809,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 14.83/10.90 tff(25810,plain,
% 14.83/10.90 (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25809, 1275, 25719])).
% 14.83/10.90 tff(25811,plain,
% 14.83/10.90 (((~![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)))),
% 14.83/10.90 inference(rewrite,[status(thm)],[])).
% 14.83/10.90 tff(25812,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b110(bitIndex0)))),
% 14.83/10.90 inference(quant_inst,[status(thm)],[])).
% 14.83/10.90 tff(25813,plain,
% 14.83/10.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b110(bitIndex0))),
% 14.83/10.90 inference(modus_ponens,[status(thm)],[25812, 25811])).
% 14.83/10.90 tff(25814,plain,
% 14.83/10.90 (v130(constB167, bitIndex0) <=> b110(bitIndex0)),
% 14.83/10.90 inference(unit_resolution,[status(thm)],[25813, 1275, 25728])).
% 14.83/10.90 tff(25815,plain,
% 14.83/10.90 ((~(v130(constB167, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB167, bitIndex0)) | b110(bitIndex0)),
% 14.83/10.90 inference(tautology,[status(thm)],[])).
% 14.83/10.90 tff(25816,plain,
% 14.83/10.91 ((~(v130(constB167, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB167, bitIndex0))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25815, 2862])).
% 14.83/10.91 tff(25817,plain,
% 14.83/10.91 (~v130(constB167, bitIndex0)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25816, 25814])).
% 14.83/10.91 tff(25818,plain,
% 14.83/10.91 ((~(v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0))) | (~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25819,plain,
% 14.83/10.91 (~v127(constB167, bitIndex0)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25818, 25817, 25810])).
% 14.83/10.91 tff(25820,plain,
% 14.83/10.91 ((~(v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0))) | (~v129(constB168, bitIndex0)) | v127(constB167, bitIndex0)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25821,plain,
% 14.83/10.91 (~v129(constB168, bitIndex0)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25820, 25819, 25806])).
% 14.83/10.91 tff(25822,plain,
% 14.83/10.91 ((~(v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25823,plain,
% 14.83/10.91 (~v90(constB168, bitIndex0)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25822, 25821, 25802])).
% 14.83/10.91 tff(25824,plain,
% 14.83/10.91 ((~(v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0))) | (~v90(constB169, bitIndex0)) | v90(constB168, bitIndex0)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25825,plain,
% 14.83/10.91 (~v90(constB169, bitIndex0)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25824, 25823, 25798])).
% 14.83/10.91 tff(25826,plain,
% 14.83/10.91 ((~(v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25827,plain,
% 14.83/10.91 (~v88(constB169, bitIndex0)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25826, 25825, 25794])).
% 14.83/10.91 tff(25828,plain,
% 14.83/10.91 (((~![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)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25829,plain,
% 14.83/10.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25830,plain,
% 14.83/10.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25829, 25828])).
% 14.83/10.91 tff(25831,plain,
% 14.83/10.91 (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25830, 1288, 576])).
% 14.83/10.91 tff(25832,plain,
% 14.83/10.91 (((~![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)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25833,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25834,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25833, 25832])).
% 14.83/10.91 tff(25835,plain,
% 14.83/10.91 (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25834, 1288, 24869])).
% 14.83/10.91 tff(25836,plain,
% 14.83/10.91 (((~![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)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25837,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25838,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25837, 25836])).
% 14.83/10.91 tff(25839,plain,
% 14.83/10.91 (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25838, 1288, 25703])).
% 14.83/10.91 tff(25840,plain,
% 14.83/10.91 (((~![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)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25841,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25842,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 14.83/10.91 tff(25843,plain,
% 14.83/10.91 (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25842, 1288, 25711])).
% 14.83/10.91 tff(25844,plain,
% 14.83/10.91 (((~![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)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25845,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25846,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 14.83/10.91 tff(25847,plain,
% 14.83/10.91 (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25846, 1288, 25719])).
% 14.83/10.91 tff(25848,plain,
% 14.83/10.91 (((~![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)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25849,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b110(bitIndex1)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25850,plain,
% 14.83/10.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b110(bitIndex1))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 14.83/10.91 tff(25851,plain,
% 14.83/10.91 (v130(constB167, bitIndex1) <=> b110(bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25850, 1288, 25728])).
% 14.83/10.91 tff(25852,plain,
% 14.83/10.91 ((~(v130(constB167, bitIndex1) <=> b110(bitIndex1))) | v130(constB167, bitIndex1) | (~b110(bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25853,plain,
% 14.83/10.91 ((~(v130(constB167, bitIndex1) <=> b110(bitIndex1))) | v130(constB167, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25852, 2902])).
% 14.83/10.91 tff(25854,plain,
% 14.83/10.91 (v130(constB167, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25853, 25851])).
% 14.83/10.91 tff(25855,plain,
% 14.83/10.91 ((~(v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1))) | v127(constB167, bitIndex1) | (~v130(constB167, bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25856,plain,
% 14.83/10.91 (v127(constB167, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25855, 25854, 25847])).
% 14.83/10.91 tff(25857,plain,
% 14.83/10.91 ((~(v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1))) | v129(constB168, bitIndex1) | (~v127(constB167, bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25858,plain,
% 14.83/10.91 (v129(constB168, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25857, 25856, 25843])).
% 14.83/10.91 tff(25859,plain,
% 14.83/10.91 ((~(v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25860,plain,
% 14.83/10.91 (v90(constB168, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25859, 25858, 25839])).
% 14.83/10.91 tff(25861,plain,
% 14.83/10.91 ((~(v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1))) | v90(constB169, bitIndex1) | (~v90(constB168, bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25862,plain,
% 14.83/10.91 (v90(constB169, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25861, 25860, 25835])).
% 14.83/10.91 tff(25863,plain,
% 14.83/10.91 ((~(v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1))) | v88(constB169, bitIndex1) | (~v90(constB169, bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25864,plain,
% 14.83/10.91 (v88(constB169, bitIndex1)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25863, 25862, 25831])).
% 14.83/10.91 tff(25865,plain,
% 14.83/10.91 ((~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25866,plain,
% 14.83/10.91 (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25865, 25864, 25827, 25745])).
% 14.83/10.91 tff(25867,plain,
% 14.83/10.91 ((~(v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))))) | v144(constB169) | (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25868,plain,
% 14.83/10.91 (v144(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25867, 25866, 25790])).
% 14.83/10.91 tff(25869,plain,
% 14.83/10.91 ((v143(constB169) | v144(constB169)) | (~v144(constB169))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25870,plain,
% 14.83/10.91 (v143(constB169) | v144(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25869, 25868])).
% 14.83/10.91 tff(25871,plain,
% 14.83/10.91 ((~(v142(constB169) <=> (v143(constB169) | v144(constB169)))) | v142(constB169) | (~(v143(constB169) | v144(constB169)))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25872,plain,
% 14.83/10.91 (v142(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25871, 25870, 25783])).
% 14.83/10.91 tff(25873,plain,
% 14.83/10.91 ((v142(constB169) | v167(constB169)) | (~v142(constB169))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25874,plain,
% 14.83/10.91 (v142(constB169) | v167(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25873, 25872])).
% 14.83/10.91 tff(25875,plain,
% 14.83/10.91 ((~(v166(constB169) <=> (v142(constB169) | v167(constB169)))) | v166(constB169) | (~(v142(constB169) | v167(constB169)))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25876,plain,
% 14.83/10.91 (v166(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25875, 25874, 25781])).
% 14.83/10.91 tff(25877,plain,
% 14.83/10.91 ((v145(constB169) | v166(constB169)) | (~v166(constB169))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25878,plain,
% 14.83/10.91 (v145(constB169) | v166(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25877, 25876])).
% 14.83/10.91 tff(25879,plain,
% 14.83/10.91 ((~(v165(constB169) <=> (v145(constB169) | v166(constB169)))) | v165(constB169) | (~(v145(constB169) | v166(constB169)))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25880,plain,
% 14.83/10.91 (v165(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25879, 25878, 25779])).
% 14.83/10.91 tff(25881,plain,
% 14.83/10.91 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB169)) | (v162(constB169) <=> v169(constB169)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB169)) | (v162(constB169) <=> v169(constB169)))),
% 14.83/10.91 inference(rewrite,[status(thm)],[])).
% 14.83/10.91 tff(25882,plain,
% 14.83/10.91 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB169)) | (v162(constB169) <=> v169(constB169)))),
% 14.83/10.91 inference(quant_inst,[status(thm)],[])).
% 14.83/10.91 tff(25883,plain,
% 14.83/10.91 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB169)) | (v162(constB169) <=> v169(constB169))),
% 14.83/10.91 inference(modus_ponens,[status(thm)],[25882, 25881])).
% 14.83/10.91 tff(25884,plain,
% 14.83/10.91 ((~v165(constB169)) | (v162(constB169) <=> v169(constB169))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25883, 2426])).
% 14.83/10.91 tff(25885,plain,
% 14.83/10.91 (v162(constB169) <=> v169(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25884, 25880])).
% 14.83/10.91 tff(25886,plain,
% 14.83/10.91 ((~(v162(constB169) <=> v169(constB169))) | (~v162(constB169)) | v169(constB169)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25887,plain,
% 14.83/10.91 (~v162(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25886, 25885, 25777])).
% 14.83/10.91 tff(25888,plain,
% 14.83/10.91 ((~(v160(constB169) <=> v162(constB169))) | (~v160(constB169)) | v162(constB169)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25889,plain,
% 14.83/10.91 ((~(v160(constB169) <=> v162(constB169))) | (~v160(constB169))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25888, 25887])).
% 14.83/10.91 tff(25890,plain,
% 14.83/10.91 (~v160(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25889, 24835])).
% 14.83/10.91 tff(25891,plain,
% 14.83/10.91 (((~v184(constB169)) | (~v160(constB169))) | v160(constB169)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25892,plain,
% 14.83/10.91 ((~v184(constB169)) | (~v160(constB169))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25891, 25890])).
% 14.83/10.91 tff(25893,plain,
% 14.83/10.91 ((~(v187(constB169) <=> (~((~v184(constB169)) | (~v160(constB169)))))) | (~v187(constB169)) | (~((~v184(constB169)) | (~v160(constB169))))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25894,plain,
% 14.83/10.91 (~v187(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25893, 25892, 24833])).
% 14.83/10.91 tff(25895,plain,
% 14.83/10.91 (((~v186(constB169)) | (~v187(constB169))) | v187(constB169)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25896,plain,
% 14.83/10.91 ((~v186(constB169)) | (~v187(constB169))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25895, 25894])).
% 14.83/10.91 tff(25897,plain,
% 14.83/10.91 ((~(v185(constB169) <=> (~((~v186(constB169)) | (~v187(constB169)))))) | (~v185(constB169)) | (~((~v186(constB169)) | (~v187(constB169))))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25898,plain,
% 14.83/10.91 (~v185(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25897, 25896, 24831])).
% 14.83/10.91 tff(25899,plain,
% 14.83/10.91 ((~(v181(constB169) | v185(constB169))) | v181(constB169) | v185(constB169)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25900,plain,
% 14.83/10.91 (~(v181(constB169) | v185(constB169))),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25899, 25898, 24829])).
% 14.83/10.91 tff(25901,plain,
% 14.83/10.91 ((~(v178(constB169) <=> (v181(constB169) | v185(constB169)))) | (~v178(constB169)) | (v181(constB169) | v185(constB169))),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25902,plain,
% 14.83/10.91 (~v178(constB169)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25901, 25900, 24753])).
% 14.83/10.91 tff(25903,plain,
% 14.83/10.91 ((~(v180(constB170) <=> v178(constB169))) | (~v180(constB170)) | v178(constB169)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25904,plain,
% 14.83/10.91 (~v180(constB170)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25903, 25902, 24751])).
% 14.83/10.91 tff(25905,plain,
% 14.83/10.91 ((~(v158(constB170) <=> v180(constB170))) | (~v158(constB170)) | v180(constB170)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25906,plain,
% 14.83/10.91 (~v158(constB170)),
% 14.83/10.91 inference(unit_resolution,[status(thm)],[25905, 25904, 24744])).
% 14.83/10.91 tff(25907,plain,
% 14.83/10.91 (((~v158(constB170)) | (~v182(constB170))) | v158(constB170)),
% 14.83/10.91 inference(tautology,[status(thm)],[])).
% 14.83/10.91 tff(25908,plain,
% 14.83/10.91 ((~v158(constB170)) | (~v182(constB170))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25907, 25906])).
% 14.83/10.92 tff(25909,plain,
% 14.83/10.92 ((~(v181(constB170) <=> (~((~v158(constB170)) | (~v182(constB170)))))) | (~v181(constB170)) | (~((~v158(constB170)) | (~v182(constB170))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25910,plain,
% 14.83/10.92 (~v181(constB170)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25909, 25908, 24742])).
% 14.83/10.92 tff(25911,plain,
% 14.83/10.92 ((~(v181(constB170) | v185(constB170))) | v181(constB170) | v185(constB170)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25912,plain,
% 14.83/10.92 (~(v181(constB170) | v185(constB170))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25911, 25910, 24735])).
% 14.83/10.92 tff(25913,plain,
% 14.83/10.92 ((~(v178(constB170) <=> (v181(constB170) | v185(constB170)))) | (~v178(constB170)) | (v181(constB170) | v185(constB170))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25914,plain,
% 14.83/10.92 (~v178(constB170)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25913, 25912, 24707])).
% 14.83/10.92 tff(25915,plain,
% 14.83/10.92 ((~(v180(constB171) <=> v178(constB170))) | (~v180(constB171)) | v178(constB170)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25916,plain,
% 14.83/10.92 (~v180(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25915, 25914, 24705])).
% 14.83/10.92 tff(25917,plain,
% 14.83/10.92 ((~(v158(constB171) <=> v180(constB171))) | (~v158(constB171)) | v180(constB171)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25918,plain,
% 14.83/10.92 (~v158(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25917, 25916, 24698])).
% 14.83/10.92 tff(25919,plain,
% 14.83/10.92 (((~v158(constB171)) | (~v199(constB171))) | v158(constB171)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25920,plain,
% 14.83/10.92 ((~v158(constB171)) | (~v199(constB171))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25919, 25918])).
% 14.83/10.92 tff(25921,plain,
% 14.83/10.92 ((~(v198(constB171) <=> (~((~v158(constB171)) | (~v199(constB171)))))) | (~v198(constB171)) | (~((~v158(constB171)) | (~v199(constB171))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25922,plain,
% 14.83/10.92 (~v198(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25921, 25920, 24696])).
% 14.83/10.92 tff(25923,plain,
% 14.83/10.92 ((~(v197(constB171) | v198(constB171))) | v197(constB171) | v198(constB171)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25924,plain,
% 14.83/10.92 (~(v197(constB171) | v198(constB171))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25923, 25922, 24694])).
% 14.83/10.92 tff(25925,plain,
% 14.83/10.92 ((~(v194(constB171) <=> (v197(constB171) | v198(constB171)))) | (~v194(constB171)) | (v197(constB171) | v198(constB171))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25926,plain,
% 14.83/10.92 (~v194(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25925, 25924, 24623])).
% 14.83/10.92 tff(25927,plain,
% 14.83/10.92 ((~(v196(constB172) <=> v194(constB171))) | (~v196(constB172)) | v194(constB171)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25928,plain,
% 14.83/10.92 (~v196(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25927, 25926, 24621])).
% 14.83/10.92 tff(25929,plain,
% 14.83/10.92 ((~(v191(constB172) <=> v196(constB172))) | (~v191(constB172)) | v196(constB172)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25930,plain,
% 14.83/10.92 (~v191(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25929, 25928, 24614])).
% 14.83/10.92 tff(25931,plain,
% 14.83/10.92 (((~v182(constB172)) | (~v191(constB172))) | v191(constB172)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25932,plain,
% 14.83/10.92 ((~v182(constB172)) | (~v191(constB172))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25931, 25930])).
% 14.83/10.92 tff(25933,plain,
% 14.83/10.92 ((~(v197(constB172) <=> (~((~v182(constB172)) | (~v191(constB172)))))) | (~v197(constB172)) | (~((~v182(constB172)) | (~v191(constB172))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25934,plain,
% 14.83/10.92 (~v197(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25933, 25932, 24612])).
% 14.83/10.92 tff(25935,plain,
% 14.83/10.92 ((~(v197(constB172) | v198(constB172))) | v197(constB172) | v198(constB172)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25936,plain,
% 14.83/10.92 (~(v197(constB172) | v198(constB172))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25935, 25934, 24610])).
% 14.83/10.92 tff(25937,plain,
% 14.83/10.92 ((~(v194(constB172) <=> (v197(constB172) | v198(constB172)))) | (~v194(constB172)) | (v197(constB172) | v198(constB172))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25938,plain,
% 14.83/10.92 (~v194(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25937, 25936, 24591])).
% 14.83/10.92 tff(25939,plain,
% 14.83/10.92 ((~(v196(constB173) <=> v194(constB172))) | (~v196(constB173)) | v194(constB172)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25940,plain,
% 14.83/10.92 (~v196(constB173)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25939, 25938, 24589])).
% 14.83/10.92 tff(25941,plain,
% 14.83/10.92 ((~(v191(constB173) <=> v196(constB173))) | (~v191(constB173)) | v196(constB173)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25942,plain,
% 14.83/10.92 (~v191(constB173)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25941, 25940, 24582])).
% 14.83/10.92 tff(25943,plain,
% 14.83/10.92 (((~v191(constB173)) | (~v206(constB173))) | v191(constB173)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25944,plain,
% 14.83/10.92 ((~v191(constB173)) | (~v206(constB173))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25943, 25942])).
% 14.83/10.92 tff(25945,plain,
% 14.83/10.92 ((~(v209(constB173) <=> (~((~v191(constB173)) | (~v206(constB173)))))) | (~v209(constB173)) | (~((~v191(constB173)) | (~v206(constB173))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25946,plain,
% 14.83/10.92 (~v209(constB173)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25945, 25944, 24580])).
% 14.83/10.92 tff(25947,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173))))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25948,plain,
% 14.83/10.92 ((v205(constB173) <=> (~((~v206(constB173)) | (~v158(constB173))))) <=> (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173)))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25949,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v206(constB173)) | (~v158(constB173)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173))))))),
% 14.83/10.92 inference(monotonicity,[status(thm)],[25948])).
% 14.83/10.92 tff(25950,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v206(constB173)) | (~v158(constB173)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173))))))),
% 14.83/10.92 inference(transitivity,[status(thm)],[25949, 25947])).
% 14.83/10.92 tff(25951,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v206(constB173)) | (~v158(constB173)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25952,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173)))))),
% 14.83/10.92 inference(modus_ponens,[status(thm)],[25951, 25950])).
% 14.83/10.92 tff(25953,plain,
% 14.83/10.92 (v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25952, 2502])).
% 14.83/10.92 tff(25954,plain,
% 14.83/10.92 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB173) <=> v180(constB173))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25955,plain,
% 14.83/10.92 (v158(constB173) <=> v180(constB173)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25954, 358])).
% 14.83/10.92 tff(25956,plain,
% 14.83/10.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB172, constB173)) | (v180(constB173) <=> v178(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB172, constB173)) | (v180(constB173) <=> v178(constB172)))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25957,plain,
% 14.83/10.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB172, constB173)) | (v180(constB173) <=> v178(constB172)))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25958,plain,
% 14.83/10.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB172, constB173)) | (v180(constB173) <=> v178(constB172))),
% 14.83/10.92 inference(modus_ponens,[status(thm)],[25957, 25956])).
% 14.83/10.92 tff(25959,plain,
% 14.83/10.92 (v180(constB173) <=> v178(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25958, 24585, 370])).
% 14.83/10.92 tff(25960,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB172) <=> (v181(constB172) | v185(constB172)))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25961,plain,
% 14.83/10.92 (v178(constB172) <=> (v181(constB172) | v185(constB172))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25960, 384])).
% 14.83/10.92 tff(25962,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB172) <=> (~((~v186(constB172)) | (~v187(constB172)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25963,plain,
% 14.83/10.92 (v185(constB172) <=> (~((~v186(constB172)) | (~v187(constB172))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25962, 396])).
% 14.83/10.92 tff(25964,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB172) <=> (~((~v184(constB172)) | (~v160(constB172)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25965,plain,
% 14.83/10.92 (v187(constB172) <=> (~((~v184(constB172)) | (~v160(constB172))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25964, 408])).
% 14.83/10.92 tff(25966,plain,
% 14.83/10.92 (((~v184(constB172)) | (~v160(constB172))) | v184(constB172)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25967,plain,
% 14.83/10.92 ((~v184(constB172)) | (~v160(constB172))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25966, 24471])).
% 14.83/10.92 tff(25968,plain,
% 14.83/10.92 ((~(v187(constB172) <=> (~((~v184(constB172)) | (~v160(constB172)))))) | (~v187(constB172)) | (~((~v184(constB172)) | (~v160(constB172))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25969,plain,
% 14.83/10.92 ((~(v187(constB172) <=> (~((~v184(constB172)) | (~v160(constB172)))))) | (~v187(constB172))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25968, 25967])).
% 14.83/10.92 tff(25970,plain,
% 14.83/10.92 (~v187(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25969, 25965])).
% 14.83/10.92 tff(25971,plain,
% 14.83/10.92 (((~v186(constB172)) | (~v187(constB172))) | v187(constB172)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25972,plain,
% 14.83/10.92 ((~v186(constB172)) | (~v187(constB172))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25971, 25970])).
% 14.83/10.92 tff(25973,plain,
% 14.83/10.92 ((~(v185(constB172) <=> (~((~v186(constB172)) | (~v187(constB172)))))) | (~v185(constB172)) | (~((~v186(constB172)) | (~v187(constB172))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25974,plain,
% 14.83/10.92 (~v185(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25973, 25972, 25963])).
% 14.83/10.92 tff(25975,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172))))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25976,plain,
% 14.83/10.92 ((v181(constB172) <=> (~((~v182(constB172)) | (~v158(constB172))))) <=> (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172)))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25977,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v182(constB172)) | (~v158(constB172)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172))))))),
% 14.83/10.92 inference(monotonicity,[status(thm)],[25976])).
% 14.83/10.92 tff(25978,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v182(constB172)) | (~v158(constB172)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172))))))),
% 14.83/10.92 inference(transitivity,[status(thm)],[25977, 25975])).
% 14.83/10.92 tff(25979,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v182(constB172)) | (~v158(constB172)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25980,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172)))))),
% 14.83/10.92 inference(modus_ponens,[status(thm)],[25979, 25978])).
% 14.83/10.92 tff(25981,plain,
% 14.83/10.92 (v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25980, 444])).
% 14.83/10.92 tff(25982,plain,
% 14.83/10.92 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB172) <=> v180(constB172))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25983,plain,
% 14.83/10.92 (v158(constB172) <=> v180(constB172)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25982, 358])).
% 14.83/10.92 tff(25984,plain,
% 14.83/10.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB171, constB172)) | (v180(constB172) <=> v178(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB171, constB172)) | (v180(constB172) <=> v178(constB171)))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25985,plain,
% 14.83/10.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB171, constB172)) | (v180(constB172) <=> v178(constB171)))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25986,plain,
% 14.83/10.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB171, constB172)) | (v180(constB172) <=> v178(constB171))),
% 14.83/10.92 inference(modus_ponens,[status(thm)],[25985, 25984])).
% 14.83/10.92 tff(25987,plain,
% 14.83/10.92 (v180(constB172) <=> v178(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25986, 24617, 370])).
% 14.83/10.92 tff(25988,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB171) <=> (v181(constB171) | v185(constB171)))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25989,plain,
% 14.83/10.92 (v178(constB171) <=> (v181(constB171) | v185(constB171))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25988, 384])).
% 14.83/10.92 tff(25990,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171))))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25991,plain,
% 14.83/10.92 ((v181(constB171) <=> (~((~v182(constB171)) | (~v158(constB171))))) <=> (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171)))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(25992,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v182(constB171)) | (~v158(constB171)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171))))))),
% 14.83/10.92 inference(monotonicity,[status(thm)],[25991])).
% 14.83/10.92 tff(25993,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v182(constB171)) | (~v158(constB171)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171))))))),
% 14.83/10.92 inference(transitivity,[status(thm)],[25992, 25990])).
% 14.83/10.92 tff(25994,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v182(constB171)) | (~v158(constB171)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(25995,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171)))))),
% 14.83/10.92 inference(modus_ponens,[status(thm)],[25994, 25993])).
% 14.83/10.92 tff(25996,plain,
% 14.83/10.92 (v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25995, 444])).
% 14.83/10.92 tff(25997,plain,
% 14.83/10.92 (((~v158(constB171)) | (~v182(constB171))) | v182(constB171)),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(25998,plain,
% 14.83/10.92 ((~v158(constB171)) | (~v182(constB171))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25997, 24690])).
% 14.83/10.92 tff(25999,plain,
% 14.83/10.92 ((~(v181(constB171) <=> (~((~v158(constB171)) | (~v182(constB171)))))) | (~v181(constB171)) | (~((~v158(constB171)) | (~v182(constB171))))),
% 14.83/10.92 inference(tautology,[status(thm)],[])).
% 14.83/10.92 tff(26000,plain,
% 14.83/10.92 (~v181(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[25999, 25998, 25996])).
% 14.83/10.92 tff(26001,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB171) <=> (~((~v186(constB171)) | (~v187(constB171)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(26002,plain,
% 14.83/10.92 (v185(constB171) <=> (~((~v186(constB171)) | (~v187(constB171))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[26001, 396])).
% 14.83/10.92 tff(26003,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB171) <=> (~((~v184(constB171)) | (~v160(constB171)))))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(26004,plain,
% 14.83/10.92 (v187(constB171) <=> (~((~v184(constB171)) | (~v160(constB171))))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[26003, 408])).
% 14.83/10.92 tff(26005,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB171) <=> v162(constB171))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(26006,plain,
% 14.83/10.92 (v160(constB171) <=> v162(constB171)),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[26005, 549])).
% 14.83/10.92 tff(26007,plain,
% 14.83/10.92 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB171) <=> (v139(constB171) | v140(constB171)))),
% 14.83/10.92 inference(quant_inst,[status(thm)],[])).
% 14.83/10.92 tff(26008,plain,
% 14.83/10.92 (v170(constB171) <=> (v139(constB171) | v140(constB171))),
% 14.83/10.92 inference(unit_resolution,[status(thm)],[26007, 2216])).
% 14.83/10.92 tff(26009,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0))))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(26010,plain,
% 14.83/10.92 ((v140(constB171) <=> (~(v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0))))) <=> (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))))),
% 14.83/10.92 inference(rewrite,[status(thm)],[])).
% 14.83/10.92 tff(26011,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0))))))),
% 14.83/10.92 inference(monotonicity,[status(thm)],[26010])).
% 14.83/10.92 tff(26012,plain,
% 14.83/10.92 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0))))))),
% 14.83/10.93 inference(transitivity,[status(thm)],[26011, 26009])).
% 14.83/10.93 tff(26013,plain,
% 14.83/10.93 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26014,plain,
% 14.83/10.93 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26013, 26012])).
% 14.83/10.93 tff(26015,plain,
% 14.83/10.93 (v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0))))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26014, 2250])).
% 14.83/10.93 tff(26016,plain,
% 14.83/10.93 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB171, bitIndex2) <=> v90(constB171, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB171, bitIndex2) <=> v90(constB171, bitIndex2)))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26017,plain,
% 14.83/10.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB171, bitIndex2) <=> v90(constB171, bitIndex2)))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26018,plain,
% 14.83/10.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB171, bitIndex2) <=> v90(constB171, bitIndex2))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 14.83/10.93 tff(26019,plain,
% 14.83/10.93 (v88(constB171, bitIndex2) <=> v90(constB171, bitIndex2)),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26018, 579, 576])).
% 14.83/10.93 tff(26020,plain,
% 14.83/10.93 (((~![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))))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26021,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26022,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26021, 26020])).
% 14.83/10.93 tff(26023,plain,
% 14.83/10.93 (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26022, 24701, 596])).
% 14.83/10.93 tff(26024,plain,
% 14.83/10.93 (((~![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))))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26025,plain,
% 14.83/10.93 (((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26026,plain,
% 14.83/10.93 (((~![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)))))))),
% 14.83/10.93 inference(monotonicity,[status(thm)],[26025])).
% 14.83/10.93 tff(26027,plain,
% 14.83/10.93 (((~![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))))))),
% 14.83/10.93 inference(transitivity,[status(thm)],[26026, 26024])).
% 14.83/10.93 tff(26028,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26029,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 14.83/10.93 tff(26030,plain,
% 14.83/10.93 (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26029, 24701, 616])).
% 14.83/10.93 tff(26031,plain,
% 14.83/10.93 (((~v1(constB171)) | (~v102(constB171))) | v1(constB171)),
% 14.83/10.93 inference(tautology,[status(thm)],[])).
% 14.83/10.93 tff(26032,plain,
% 14.83/10.93 ((~v1(constB171)) | (~v102(constB171))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26031, 24676])).
% 14.83/10.93 tff(26033,plain,
% 14.83/10.93 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171)) | (~((~v1(constB171)) | (~v102(constB171))))),
% 14.83/10.93 inference(tautology,[status(thm)],[])).
% 14.83/10.93 tff(26034,plain,
% 14.83/10.93 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26033, 26032])).
% 14.83/10.93 tff(26035,plain,
% 14.83/10.93 (~v101(constB171)),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26034, 26030])).
% 14.83/10.93 tff(26036,plain,
% 14.83/10.93 (((~v101(constB171)) | (~v110(constB171))) | v101(constB171)),
% 14.83/10.93 inference(tautology,[status(thm)],[])).
% 14.83/10.93 tff(26037,plain,
% 14.83/10.93 ((~v101(constB171)) | (~v110(constB171))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26036, 26035])).
% 14.83/10.93 tff(26038,plain,
% 14.83/10.93 ((~(v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))) | (~v100(constB171)) | (~((~v101(constB171)) | (~v110(constB171))))),
% 14.83/10.93 inference(tautology,[status(thm)],[])).
% 14.83/10.93 tff(26039,plain,
% 14.83/10.93 (~v100(constB171)),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26038, 26037, 26023])).
% 14.83/10.93 tff(26040,plain,
% 14.83/10.93 (((~![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))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26041,plain,
% 14.83/10.93 ((~![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))))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26042,plain,
% 14.83/10.93 ((~![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)))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 14.83/10.93 tff(26043,plain,
% 14.83/10.93 (v100(constB171) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26042, 24701, 645])).
% 14.83/10.93 tff(26044,plain,
% 14.83/10.93 (![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26043, 26039])).
% 14.83/10.93 tff(26045,plain,
% 14.83/10.93 (((~![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)))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26046,plain,
% 14.83/10.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26047,plain,
% 14.83/10.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 14.83/10.93 tff(26048,plain,
% 14.83/10.93 (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26047, 579, 26044])).
% 14.83/10.93 tff(26049,plain,
% 14.83/10.93 (((~![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))))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26050,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26051,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26050, 26049])).
% 14.83/10.93 tff(26052,plain,
% 14.83/10.93 (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26051, 24747, 596])).
% 14.83/10.93 tff(26053,plain,
% 14.83/10.93 (((~![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))))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26054,plain,
% 14.83/10.93 (((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26055,plain,
% 14.83/10.93 (((~![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)))))))),
% 14.83/10.93 inference(monotonicity,[status(thm)],[26054])).
% 14.83/10.93 tff(26056,plain,
% 14.83/10.93 (((~![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))))))),
% 14.83/10.93 inference(transitivity,[status(thm)],[26055, 26053])).
% 14.83/10.93 tff(26057,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26058,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26057, 26056])).
% 14.83/10.93 tff(26059,plain,
% 14.83/10.93 (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26058, 24747, 616])).
% 14.83/10.93 tff(26060,plain,
% 14.83/10.93 (((~![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)))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26061,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26062,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26061, 26060])).
% 14.83/10.93 tff(26063,plain,
% 14.83/10.93 ((~v102(constB170)) <=> v104(constB170)),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26062, 24747, 678])).
% 14.83/10.93 tff(26064,plain,
% 14.83/10.93 (((~![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)))),
% 14.83/10.93 inference(rewrite,[status(thm)],[])).
% 14.83/10.93 tff(26065,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 14.83/10.93 inference(quant_inst,[status(thm)],[])).
% 14.83/10.93 tff(26066,plain,
% 14.83/10.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169))),
% 14.83/10.93 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 14.83/10.93 tff(26067,plain,
% 14.83/10.93 (v104(constB170) <=> v1(constB169)),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26066, 24747, 692])).
% 14.83/10.93 tff(26068,plain,
% 14.83/10.93 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170)) | v1(constB169)),
% 14.83/10.93 inference(tautology,[status(thm)],[])).
% 14.83/10.93 tff(26069,plain,
% 14.83/10.93 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170))),
% 14.83/10.93 inference(unit_resolution,[status(thm)],[26068, 24811])).
% 14.83/10.94 tff(26070,plain,
% 14.83/10.94 (~v104(constB170)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26069, 26067])).
% 14.83/10.94 tff(26071,plain,
% 14.83/10.94 ((~((~v102(constB170)) <=> v104(constB170))) | v102(constB170) | v104(constB170)),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26072,plain,
% 14.83/10.94 (v102(constB170)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26071, 26070, 26063])).
% 14.83/10.94 tff(26073,plain,
% 14.83/10.94 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v1(constB170)) | (~v102(constB170))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26074,plain,
% 14.83/10.94 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v102(constB170))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26073, 24718])).
% 14.83/10.94 tff(26075,plain,
% 14.83/10.94 (~((~v1(constB170)) | (~v102(constB170)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26074, 26072])).
% 14.83/10.94 tff(26076,plain,
% 14.83/10.94 ((~(v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))) | v101(constB170) | ((~v1(constB170)) | (~v102(constB170)))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26077,plain,
% 14.83/10.94 (v101(constB170)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26076, 26075, 26059])).
% 14.83/10.94 tff(26078,plain,
% 14.83/10.94 (((~![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)))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26079,plain,
% 14.83/10.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26080,plain,
% 14.83/10.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169))),
% 14.83/10.94 inference(modus_ponens,[status(thm)],[26079, 26078])).
% 14.83/10.94 tff(26081,plain,
% 14.83/10.94 (v110(constB170) <=> v108(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26080, 24747, 722])).
% 14.83/10.94 tff(26082,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB169) <=> (v111(constB169) | v112(constB169)))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26083,plain,
% 14.83/10.94 (v108(constB169) <=> (v111(constB169) | v112(constB169))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26082, 733])).
% 14.83/10.94 tff(26084,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26085,plain,
% 14.83/10.94 (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169))))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26084, 745])).
% 14.83/10.94 tff(26086,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB169) <=> (v114(constB169) | v125(constB169)))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26087,plain,
% 14.83/10.94 (v113(constB169) <=> (v114(constB169) | v125(constB169))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26086, 754])).
% 14.83/10.94 tff(26088,plain,
% 14.83/10.94 (((~![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)))))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26089,plain,
% 14.83/10.94 ((v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2))))) <=> (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26090,plain,
% 14.83/10.94 (((~![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)))))),
% 14.83/10.94 inference(monotonicity,[status(thm)],[26089])).
% 14.83/10.94 tff(26091,plain,
% 14.83/10.94 (((~![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)))))),
% 14.83/10.94 inference(transitivity,[status(thm)],[26090, 26088])).
% 14.83/10.94 tff(26092,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26093,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 14.83/10.94 inference(modus_ponens,[status(thm)],[26092, 26091])).
% 14.83/10.94 tff(26094,plain,
% 14.83/10.94 (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26093, 3458])).
% 14.83/10.94 tff(26095,plain,
% 14.83/10.94 ((~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26096,plain,
% 14.83/10.94 (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26095, 25862, 25825, 25743])).
% 14.83/10.94 tff(26097,plain,
% 14.83/10.94 ((~(v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) | v125(constB169) | ((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26098,plain,
% 14.83/10.94 (v125(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26097, 26096, 26094])).
% 14.83/10.94 tff(26099,plain,
% 14.83/10.94 ((v114(constB169) | v125(constB169)) | (~v125(constB169))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26100,plain,
% 14.83/10.94 (v114(constB169) | v125(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26099, 26098])).
% 14.83/10.94 tff(26101,plain,
% 14.83/10.94 ((~(v113(constB169) <=> (v114(constB169) | v125(constB169)))) | v113(constB169) | (~(v114(constB169) | v125(constB169)))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26102,plain,
% 14.83/10.94 (v113(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26101, 26100, 26087])).
% 14.83/10.94 tff(26103,plain,
% 14.83/10.94 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB169)) <=> v111(constB169))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26104,plain,
% 14.83/10.94 ((~v126(constB169)) <=> v111(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26103, 1345])).
% 14.83/10.94 tff(26105,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB169) <=> v26(constB169))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26106,plain,
% 14.83/10.94 (v111(constB169) <=> v26(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26105, 1357])).
% 14.83/10.94 tff(26107,plain,
% 14.83/10.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26108,plain,
% 14.83/10.94 (~v26(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26107, 1369])).
% 14.83/10.94 tff(26109,plain,
% 14.83/10.94 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169)) | v26(constB169)),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26110,plain,
% 14.83/10.94 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26109, 26108])).
% 14.83/10.94 tff(26111,plain,
% 14.83/10.94 (~v111(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26110, 26106])).
% 14.83/10.94 tff(26112,plain,
% 14.83/10.94 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169) | v111(constB169)),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26113,plain,
% 14.83/10.94 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26112, 26111])).
% 14.83/10.94 tff(26114,plain,
% 14.83/10.94 (v126(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26113, 26104])).
% 14.83/10.94 tff(26115,plain,
% 14.83/10.94 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169)) | (~v126(constB169))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26116,plain,
% 14.83/10.94 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26115, 26114])).
% 14.83/10.94 tff(26117,plain,
% 14.83/10.94 (~((~v113(constB169)) | (~v126(constB169)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26116, 26102])).
% 14.83/10.94 tff(26118,plain,
% 14.83/10.94 ((~(v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))) | v112(constB169) | ((~v113(constB169)) | (~v126(constB169)))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26119,plain,
% 14.83/10.94 (v112(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26118, 26117, 26085])).
% 14.83/10.94 tff(26120,plain,
% 14.83/10.94 ((v111(constB169) | v112(constB169)) | (~v112(constB169))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26121,plain,
% 14.83/10.94 (v111(constB169) | v112(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26120, 26119])).
% 14.83/10.94 tff(26122,plain,
% 14.83/10.94 ((~(v108(constB169) <=> (v111(constB169) | v112(constB169)))) | v108(constB169) | (~(v111(constB169) | v112(constB169)))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26123,plain,
% 14.83/10.94 (v108(constB169)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26122, 26121, 26083])).
% 14.83/10.94 tff(26124,plain,
% 14.83/10.94 ((~(v110(constB170) <=> v108(constB169))) | v110(constB170) | (~v108(constB169))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26125,plain,
% 14.83/10.94 (v110(constB170)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26124, 26123, 26081])).
% 14.83/10.94 tff(26126,plain,
% 14.83/10.94 ((~((~v101(constB170)) | (~v110(constB170)))) | (~v101(constB170)) | (~v110(constB170))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26127,plain,
% 14.83/10.94 (~((~v101(constB170)) | (~v110(constB170)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26126, 26125, 26077])).
% 14.83/10.94 tff(26128,plain,
% 14.83/10.94 ((~(v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))) | v100(constB170) | ((~v101(constB170)) | (~v110(constB170)))),
% 14.83/10.94 inference(tautology,[status(thm)],[])).
% 14.83/10.94 tff(26129,plain,
% 14.83/10.94 (v100(constB170)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26128, 26127, 26052])).
% 14.83/10.94 tff(26130,plain,
% 14.83/10.94 (((~![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))))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26131,plain,
% 14.83/10.94 ((~![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))))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26132,plain,
% 14.83/10.94 ((~![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)))),
% 14.83/10.94 inference(modus_ponens,[status(thm)],[26131, 26130])).
% 14.83/10.94 tff(26133,plain,
% 14.83/10.94 ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26132, 1405])).
% 14.83/10.94 tff(26134,plain,
% 14.83/10.94 (![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26133, 26129])).
% 14.83/10.94 tff(26135,plain,
% 14.83/10.94 (((~![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)))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26136,plain,
% 14.83/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26137,plain,
% 14.83/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2))),
% 14.83/10.94 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 14.83/10.94 tff(26138,plain,
% 14.83/10.94 (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26137, 579, 26134])).
% 14.83/10.94 tff(26139,plain,
% 14.83/10.94 (((~![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))))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26140,plain,
% 14.83/10.94 ((~![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))))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26141,plain,
% 14.83/10.94 ((~![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)))),
% 14.83/10.94 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 14.83/10.94 tff(26142,plain,
% 14.83/10.94 (![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26141, 24747, 1427])).
% 14.83/10.94 tff(26143,plain,
% 14.83/10.94 (((~![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)))),
% 14.83/10.94 inference(rewrite,[status(thm)],[])).
% 14.83/10.94 tff(26144,plain,
% 14.83/10.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))),
% 14.83/10.94 inference(quant_inst,[status(thm)],[])).
% 14.83/10.94 tff(26145,plain,
% 14.83/10.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2))),
% 14.83/10.94 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 14.83/10.94 tff(26146,plain,
% 14.83/10.94 (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)),
% 14.83/10.94 inference(unit_resolution,[status(thm)],[26145, 579, 26142])).
% 14.83/10.94 tff(26147,plain,
% 14.83/10.94 (((~![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))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26148,plain,
% 14.83/10.95 ((~![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))))),
% 14.83/10.95 inference(quant_inst,[status(thm)],[])).
% 14.83/10.95 tff(26149,plain,
% 14.83/10.95 ((~![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)))),
% 14.83/10.95 inference(modus_ponens,[status(thm)],[26148, 26147])).
% 14.83/10.95 tff(26150,plain,
% 14.83/10.95 (![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26149, 1448, 26111])).
% 14.83/10.95 tff(26151,plain,
% 14.83/10.95 (((~![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)))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26152,plain,
% 14.83/10.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))),
% 14.83/10.95 inference(quant_inst,[status(thm)],[])).
% 14.83/10.95 tff(26153,plain,
% 14.83/10.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2))),
% 14.83/10.95 inference(modus_ponens,[status(thm)],[26152, 26151])).
% 14.83/10.95 tff(26154,plain,
% 14.83/10.95 (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26153, 579, 26150])).
% 14.83/10.95 tff(26155,plain,
% 14.83/10.95 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))))),
% 14.83/10.95 inference(quant_inst,[status(thm)],[])).
% 14.83/10.95 tff(26156,plain,
% 14.83/10.95 (v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)))),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26155, 1242])).
% 14.83/10.95 tff(26157,plain,
% 14.83/10.95 ((v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex2))),
% 14.83/10.95 inference(tautology,[status(thm)],[])).
% 14.83/10.95 tff(26158,plain,
% 14.83/10.95 (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26157, 25743])).
% 14.83/10.95 tff(26159,plain,
% 14.83/10.95 ((~(v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))))) | (~v119(constB169)) | (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)))),
% 14.83/10.95 inference(tautology,[status(thm)],[])).
% 14.83/10.95 tff(26160,plain,
% 14.83/10.95 (~v119(constB169)),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26159, 26158, 26156])).
% 14.83/10.95 tff(26161,plain,
% 14.83/10.95 (((~![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))))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26162,plain,
% 14.83/10.95 ((v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2))))) <=> (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26163,plain,
% 14.83/10.95 (((~![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))))))),
% 14.83/10.95 inference(monotonicity,[status(thm)],[26162])).
% 14.83/10.95 tff(26164,plain,
% 14.83/10.95 (((~![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))))))),
% 14.83/10.95 inference(transitivity,[status(thm)],[26163, 26161])).
% 14.83/10.95 tff(26165,plain,
% 14.83/10.95 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))),
% 14.83/10.95 inference(quant_inst,[status(thm)],[])).
% 14.83/10.95 tff(26166,plain,
% 14.83/10.95 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 14.83/10.95 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 14.83/10.95 tff(26167,plain,
% 14.83/10.95 (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26166, 2651])).
% 14.83/10.95 tff(26168,plain,
% 14.83/10.95 (((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex1))),
% 14.83/10.95 inference(tautology,[status(thm)],[])).
% 14.83/10.95 tff(26169,plain,
% 14.83/10.95 ((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26168, 25862])).
% 14.83/10.95 tff(26170,plain,
% 14.83/10.95 ((~(v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))) | (~v124(constB169)) | (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 14.83/10.95 inference(tautology,[status(thm)],[])).
% 14.83/10.95 tff(26171,plain,
% 14.83/10.95 (~v124(constB169)),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26170, 26169, 26167])).
% 14.83/10.95 tff(26172,plain,
% 14.83/10.95 (((~![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)))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26173,plain,
% 14.83/10.95 ((v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2))))) <=> (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26174,plain,
% 14.83/10.95 (((~![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)))))),
% 14.83/10.95 inference(monotonicity,[status(thm)],[26173])).
% 14.83/10.95 tff(26175,plain,
% 14.83/10.95 (((~![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)))))),
% 14.83/10.95 inference(transitivity,[status(thm)],[26174, 26172])).
% 14.83/10.95 tff(26176,plain,
% 14.83/10.95 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))),
% 14.83/10.95 inference(quant_inst,[status(thm)],[])).
% 14.83/10.95 tff(26177,plain,
% 14.83/10.95 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))),
% 14.83/10.95 inference(modus_ponens,[status(thm)],[26176, 26175])).
% 14.83/10.95 tff(26178,plain,
% 14.83/10.95 (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26177, 787])).
% 14.83/10.95 tff(26179,plain,
% 14.83/10.95 (((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1))),
% 14.83/10.95 inference(tautology,[status(thm)],[])).
% 14.83/10.95 tff(26180,plain,
% 14.83/10.95 ((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26179, 25862])).
% 14.83/10.95 tff(26181,plain,
% 14.83/10.95 ((~(v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))) | (~v123(constB169)) | (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))),
% 14.83/10.95 inference(tautology,[status(thm)],[])).
% 14.83/10.95 tff(26182,plain,
% 14.83/10.95 (~v123(constB169)),
% 14.83/10.95 inference(unit_resolution,[status(thm)],[26181, 26180, 26178])).
% 14.83/10.95 tff(26183,plain,
% 14.83/10.95 (((~![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))))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26184,plain,
% 14.83/10.95 ((v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1))))) <=> (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))),
% 14.83/10.95 inference(rewrite,[status(thm)],[])).
% 14.83/10.95 tff(26185,plain,
% 14.83/10.95 (((~![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))))))),
% 14.83/10.95 inference(monotonicity,[status(thm)],[26184])).
% 14.83/10.95 tff(26186,plain,
% 14.83/10.95 (((~![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))))))),
% 14.83/10.95 inference(transitivity,[status(thm)],[26185, 26183])).
% 14.83/10.95 tff(26187,plain,
% 14.83/10.95 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))),
% 14.90/10.96 inference(quant_inst,[status(thm)],[])).
% 14.90/10.96 tff(26188,plain,
% 14.90/10.96 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))),
% 14.90/10.96 inference(modus_ponens,[status(thm)],[26187, 26186])).
% 14.90/10.96 tff(26189,plain,
% 14.90/10.96 (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26188, 900])).
% 14.90/10.96 tff(26190,plain,
% 14.90/10.96 ((v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2))),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26191,plain,
% 14.90/10.96 (v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26190, 25743])).
% 14.90/10.96 tff(26192,plain,
% 14.90/10.96 ((~(v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))) | (~v122(constB169)) | (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26193,plain,
% 14.90/10.96 (~v122(constB169)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26192, 26191, 26189])).
% 14.90/10.96 tff(26194,plain,
% 14.90/10.96 (((~![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)))))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26195,plain,
% 14.90/10.96 ((v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1))))) <=> (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26196,plain,
% 14.90/10.96 (((~![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)))))),
% 14.90/10.96 inference(monotonicity,[status(thm)],[26195])).
% 14.90/10.96 tff(26197,plain,
% 14.90/10.96 (((~![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)))))),
% 14.90/10.96 inference(transitivity,[status(thm)],[26196, 26194])).
% 14.90/10.96 tff(26198,plain,
% 14.90/10.96 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))),
% 14.90/10.96 inference(quant_inst,[status(thm)],[])).
% 14.90/10.96 tff(26199,plain,
% 14.90/10.96 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 14.90/10.96 inference(modus_ponens,[status(thm)],[26198, 26197])).
% 14.90/10.96 tff(26200,plain,
% 14.90/10.96 (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26199, 1015])).
% 14.90/10.96 tff(26201,plain,
% 14.90/10.96 ((v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2))),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26202,plain,
% 14.90/10.96 (v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26201, 25743])).
% 14.90/10.96 tff(26203,plain,
% 14.90/10.96 ((~(v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) | (~v121(constB169)) | (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26204,plain,
% 14.90/10.96 (~v121(constB169)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26203, 26202, 26200])).
% 14.90/10.96 tff(26205,plain,
% 14.90/10.96 (((~![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))))))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26206,plain,
% 14.90/10.96 ((v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0))))) <=> (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26207,plain,
% 14.90/10.96 (((~![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))))))),
% 14.90/10.96 inference(monotonicity,[status(thm)],[26206])).
% 14.90/10.96 tff(26208,plain,
% 14.90/10.96 (((~![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))))))),
% 14.90/10.96 inference(transitivity,[status(thm)],[26207, 26205])).
% 14.90/10.96 tff(26209,plain,
% 14.90/10.96 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)))))),
% 14.90/10.96 inference(quant_inst,[status(thm)],[])).
% 14.90/10.96 tff(26210,plain,
% 14.90/10.96 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 14.90/10.96 inference(modus_ponens,[status(thm)],[26209, 26208])).
% 14.90/10.96 tff(26211,plain,
% 14.90/10.96 (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26210, 1132])).
% 14.90/10.96 tff(26212,plain,
% 14.90/10.96 ((v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2))),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26213,plain,
% 14.90/10.96 (v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26212, 25743])).
% 14.90/10.96 tff(26214,plain,
% 14.90/10.96 ((~(v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))) | (~v120(constB169)) | (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26215,plain,
% 14.90/10.96 (~v120(constB169)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26214, 26213, 26211])).
% 14.90/10.96 tff(26216,plain,
% 14.90/10.96 (((~![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))))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26217,plain,
% 14.90/10.96 ((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))))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26218,plain,
% 14.90/10.96 (((~![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)))))),
% 14.90/10.96 inference(monotonicity,[status(thm)],[26217])).
% 14.90/10.96 tff(26219,plain,
% 14.90/10.96 (((~![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))))),
% 14.90/10.96 inference(transitivity,[status(thm)],[26218, 26216])).
% 14.90/10.96 tff(26220,plain,
% 14.90/10.96 ((~![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))))),
% 14.90/10.96 inference(quant_inst,[status(thm)],[])).
% 14.90/10.96 tff(26221,plain,
% 14.90/10.96 ((~![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)))),
% 14.90/10.96 inference(modus_ponens,[status(thm)],[26220, 26219])).
% 14.90/10.96 tff(26222,plain,
% 14.90/10.96 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26221, 8006])).
% 14.90/10.96 tff(26223,plain,
% 14.90/10.96 (![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26222, 26215, 26204, 26193, 26182, 26171, 26160])).
% 14.90/10.96 tff(26224,plain,
% 14.90/10.96 (((~![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)))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26225,plain,
% 14.90/10.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b001(bitIndex2)))),
% 14.90/10.96 inference(quant_inst,[status(thm)],[])).
% 14.90/10.96 tff(26226,plain,
% 14.90/10.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b001(bitIndex2))),
% 14.90/10.96 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 14.90/10.96 tff(26227,plain,
% 14.90/10.96 (v130(constB169, bitIndex2) <=> b001(bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26226, 579, 26223])).
% 14.90/10.96 tff(26228,plain,
% 14.90/10.96 ((~(v130(constB169, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB169, bitIndex2)) | b001(bitIndex2)),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26229,plain,
% 14.90/10.96 ((~(v130(constB169, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB169, bitIndex2))),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26228, 1480])).
% 14.90/10.96 tff(26230,plain,
% 14.90/10.96 (~v130(constB169, bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26229, 26227])).
% 14.90/10.96 tff(26231,plain,
% 14.90/10.96 ((~(v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2))) | (~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26232,plain,
% 14.90/10.96 (~v127(constB169, bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26231, 26230, 26154])).
% 14.90/10.96 tff(26233,plain,
% 14.90/10.96 ((~(v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2))) | (~v129(constB170, bitIndex2)) | v127(constB169, bitIndex2)),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26234,plain,
% 14.90/10.96 (~v129(constB170, bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26233, 26232, 26146])).
% 14.90/10.96 tff(26235,plain,
% 14.90/10.96 ((~(v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2)),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26236,plain,
% 14.90/10.96 (~v90(constB170, bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26235, 26234, 26138])).
% 14.90/10.96 tff(26237,plain,
% 14.90/10.96 ((~(v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2))) | (~v90(constB171, bitIndex2)) | v90(constB170, bitIndex2)),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26238,plain,
% 14.90/10.96 (~v90(constB171, bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26237, 26236, 26048])).
% 14.90/10.96 tff(26239,plain,
% 14.90/10.96 ((~(v88(constB171, bitIndex2) <=> v90(constB171, bitIndex2))) | (~v88(constB171, bitIndex2)) | v90(constB171, bitIndex2)),
% 14.90/10.96 inference(tautology,[status(thm)],[])).
% 14.90/10.96 tff(26240,plain,
% 14.90/10.96 (~v88(constB171, bitIndex2)),
% 14.90/10.96 inference(unit_resolution,[status(thm)],[26239, 26238, 26019])).
% 14.90/10.96 tff(26241,plain,
% 14.90/10.96 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB171, bitIndex0) <=> v90(constB171, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB171, bitIndex0) <=> v90(constB171, bitIndex0)))),
% 14.90/10.96 inference(rewrite,[status(thm)],[])).
% 14.90/10.96 tff(26242,plain,
% 14.90/10.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB171, bitIndex0) <=> v90(constB171, bitIndex0)))),
% 14.90/10.96 inference(quant_inst,[status(thm)],[])).
% 14.90/10.96 tff(26243,plain,
% 14.90/10.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB171, bitIndex0) <=> v90(constB171, bitIndex0))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26242, 26241])).
% 14.90/10.97 tff(26244,plain,
% 14.90/10.97 (v88(constB171, bitIndex0) <=> v90(constB171, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26243, 1275, 576])).
% 14.90/10.97 tff(26245,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26246,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26247,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26246, 26245])).
% 14.90/10.97 tff(26248,plain,
% 14.90/10.97 (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26247, 1275, 26044])).
% 14.90/10.97 tff(26249,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26250,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26251,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 14.90/10.97 tff(26252,plain,
% 14.90/10.97 (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26251, 1275, 26134])).
% 14.90/10.97 tff(26253,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26254,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26255,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26254, 26253])).
% 14.90/10.97 tff(26256,plain,
% 14.90/10.97 (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26255, 1275, 26142])).
% 14.90/10.97 tff(26257,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26258,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26259,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26258, 26257])).
% 14.90/10.97 tff(26260,plain,
% 14.90/10.97 (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26259, 1275, 26150])).
% 14.90/10.97 tff(26261,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26262,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b001(bitIndex0)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26263,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b001(bitIndex0))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26262, 26261])).
% 14.90/10.97 tff(26264,plain,
% 14.90/10.97 (v130(constB169, bitIndex0) <=> b001(bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26263, 1275, 26223])).
% 14.90/10.97 tff(26265,plain,
% 14.90/10.97 ((~(v130(constB169, bitIndex0) <=> b001(bitIndex0))) | v130(constB169, bitIndex0) | (~b001(bitIndex0))),
% 14.90/10.97 inference(tautology,[status(thm)],[])).
% 14.90/10.97 tff(26266,plain,
% 14.90/10.97 ((~(v130(constB169, bitIndex0) <=> b001(bitIndex0))) | v130(constB169, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26265, 1514])).
% 14.90/10.97 tff(26267,plain,
% 14.90/10.97 (v130(constB169, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26266, 26264])).
% 14.90/10.97 tff(26268,plain,
% 14.90/10.97 ((~(v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0))) | v127(constB169, bitIndex0) | (~v130(constB169, bitIndex0))),
% 14.90/10.97 inference(tautology,[status(thm)],[])).
% 14.90/10.97 tff(26269,plain,
% 14.90/10.97 (v127(constB169, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26268, 26267, 26260])).
% 14.90/10.97 tff(26270,plain,
% 14.90/10.97 ((~(v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0))) | v129(constB170, bitIndex0) | (~v127(constB169, bitIndex0))),
% 14.90/10.97 inference(tautology,[status(thm)],[])).
% 14.90/10.97 tff(26271,plain,
% 14.90/10.97 (v129(constB170, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26270, 26269, 26256])).
% 14.90/10.97 tff(26272,plain,
% 14.90/10.97 ((~(v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))),
% 14.90/10.97 inference(tautology,[status(thm)],[])).
% 14.90/10.97 tff(26273,plain,
% 14.90/10.97 (v90(constB170, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26272, 26271, 26252])).
% 14.90/10.97 tff(26274,plain,
% 14.90/10.97 ((~(v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0))) | v90(constB171, bitIndex0) | (~v90(constB170, bitIndex0))),
% 14.90/10.97 inference(tautology,[status(thm)],[])).
% 14.90/10.97 tff(26275,plain,
% 14.90/10.97 (v90(constB171, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26274, 26273, 26248])).
% 14.90/10.97 tff(26276,plain,
% 14.90/10.97 ((~(v88(constB171, bitIndex0) <=> v90(constB171, bitIndex0))) | v88(constB171, bitIndex0) | (~v90(constB171, bitIndex0))),
% 14.90/10.97 inference(tautology,[status(thm)],[])).
% 14.90/10.97 tff(26277,plain,
% 14.90/10.97 (v88(constB171, bitIndex0)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26276, 26275, 26244])).
% 14.90/10.97 tff(26278,plain,
% 14.90/10.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB171, bitIndex1) <=> v90(constB171, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB171, bitIndex1) <=> v90(constB171, bitIndex1)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26279,plain,
% 14.90/10.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB171, bitIndex1) <=> v90(constB171, bitIndex1)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26280,plain,
% 14.90/10.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB171, bitIndex1) <=> v90(constB171, bitIndex1))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 14.90/10.97 tff(26281,plain,
% 14.90/10.97 (v88(constB171, bitIndex1) <=> v90(constB171, bitIndex1)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26280, 1288, 576])).
% 14.90/10.97 tff(26282,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26283,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26284,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 14.90/10.97 tff(26285,plain,
% 14.90/10.97 (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26284, 1288, 26044])).
% 14.90/10.97 tff(26286,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26287,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26288,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26287, 26286])).
% 14.90/10.97 tff(26289,plain,
% 14.90/10.97 (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26288, 1288, 26134])).
% 14.90/10.97 tff(26290,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26291,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26292,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 14.90/10.97 tff(26293,plain,
% 14.90/10.97 (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)),
% 14.90/10.97 inference(unit_resolution,[status(thm)],[26292, 1288, 26142])).
% 14.90/10.97 tff(26294,plain,
% 14.90/10.97 (((~![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)))),
% 14.90/10.97 inference(rewrite,[status(thm)],[])).
% 14.90/10.97 tff(26295,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))),
% 14.90/10.97 inference(quant_inst,[status(thm)],[])).
% 14.90/10.97 tff(26296,plain,
% 14.90/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1))),
% 14.90/10.97 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 14.90/10.97 tff(26297,plain,
% 14.90/10.97 (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26296, 1288, 26150])).
% 14.90/10.98 tff(26298,plain,
% 14.90/10.98 (((~![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)))),
% 14.90/10.98 inference(rewrite,[status(thm)],[])).
% 14.90/10.98 tff(26299,plain,
% 14.90/10.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b001(bitIndex1)))),
% 14.90/10.98 inference(quant_inst,[status(thm)],[])).
% 14.90/10.98 tff(26300,plain,
% 14.90/10.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b001(bitIndex1))),
% 14.90/10.98 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 14.90/10.98 tff(26301,plain,
% 14.90/10.98 (v130(constB169, bitIndex1) <=> b001(bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26300, 1288, 26223])).
% 14.90/10.98 tff(26302,plain,
% 14.90/10.98 ((~(v130(constB169, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB169, bitIndex1)) | b001(bitIndex1)),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26303,plain,
% 14.90/10.98 ((~(v130(constB169, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB169, bitIndex1))),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26302, 1548])).
% 14.90/10.98 tff(26304,plain,
% 14.90/10.98 (~v130(constB169, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26303, 26301])).
% 14.90/10.98 tff(26305,plain,
% 14.90/10.98 ((~(v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1))) | (~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26306,plain,
% 14.90/10.98 (~v127(constB169, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26305, 26304, 26297])).
% 14.90/10.98 tff(26307,plain,
% 14.90/10.98 ((~(v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1))) | (~v129(constB170, bitIndex1)) | v127(constB169, bitIndex1)),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26308,plain,
% 14.90/10.98 (~v129(constB170, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26307, 26306, 26293])).
% 14.90/10.98 tff(26309,plain,
% 14.90/10.98 ((~(v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1)),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26310,plain,
% 14.90/10.98 (~v90(constB170, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26309, 26308, 26289])).
% 14.90/10.98 tff(26311,plain,
% 14.90/10.98 ((~(v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1))) | (~v90(constB171, bitIndex1)) | v90(constB170, bitIndex1)),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26312,plain,
% 14.90/10.98 (~v90(constB171, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26311, 26310, 26285])).
% 14.90/10.98 tff(26313,plain,
% 14.90/10.98 ((~(v88(constB171, bitIndex1) <=> v90(constB171, bitIndex1))) | (~v88(constB171, bitIndex1)) | v90(constB171, bitIndex1)),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26314,plain,
% 14.90/10.98 (~v88(constB171, bitIndex1)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26313, 26312, 26281])).
% 14.90/10.98 tff(26315,plain,
% 14.90/10.98 ((~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))) | v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0))),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26316,plain,
% 14.90/10.98 (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26315, 26314, 26277, 26240])).
% 14.90/10.98 tff(26317,plain,
% 14.90/10.98 ((~(v140(constB171) <=> (~(v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))))) | v140(constB171) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)))),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26318,plain,
% 14.90/10.98 (v140(constB171)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26317, 26316, 26015])).
% 14.90/10.98 tff(26319,plain,
% 14.90/10.98 ((v139(constB171) | v140(constB171)) | (~v140(constB171))),
% 14.90/10.98 inference(tautology,[status(thm)],[])).
% 14.90/10.98 tff(26320,plain,
% 14.90/10.98 (v139(constB171) | v140(constB171)),
% 14.90/10.98 inference(unit_resolution,[status(thm)],[26319, 26318])).
% 14.92/10.98 tff(26321,plain,
% 14.92/10.98 ((~(v170(constB171) <=> (v139(constB171) | v140(constB171)))) | v170(constB171) | (~(v139(constB171) | v140(constB171)))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26322,plain,
% 14.92/10.98 (v170(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26321, 26320, 26008])).
% 14.92/10.98 tff(26323,plain,
% 14.92/10.98 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB171)) | (~v169(constB171)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB171)) | (~v169(constB171)))),
% 14.92/10.98 inference(rewrite,[status(thm)],[])).
% 14.92/10.98 tff(26324,plain,
% 14.92/10.98 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB171)) | (~v169(constB171)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26325,plain,
% 14.92/10.98 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB171)) | (~v169(constB171))),
% 14.92/10.98 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 14.92/10.98 tff(26326,plain,
% 14.92/10.98 ((~v170(constB171)) | (~v169(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26325, 18673])).
% 14.92/10.98 tff(26327,plain,
% 14.92/10.98 (~v169(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26326, 26322])).
% 14.92/10.98 tff(26328,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB171) <=> (v145(constB171) | v166(constB171)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26329,plain,
% 14.92/10.98 (v165(constB171) <=> (v145(constB171) | v166(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26328, 2293])).
% 14.92/10.98 tff(26330,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB171) <=> (v142(constB171) | v167(constB171)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26331,plain,
% 14.92/10.98 (v166(constB171) <=> (v142(constB171) | v167(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26330, 2804])).
% 14.92/10.98 tff(26332,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB171) <=> (v141(constB171) | v168(constB171)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26333,plain,
% 14.92/10.98 (v167(constB171) <=> (v141(constB171) | v168(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26332, 18692])).
% 14.92/10.98 tff(26334,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB171) <=> (v139(constB171) | v140(constB171)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26335,plain,
% 14.92/10.98 (v168(constB171) <=> (v139(constB171) | v140(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26334, 18701])).
% 14.92/10.98 tff(26336,plain,
% 14.92/10.98 ((~(v168(constB171) <=> (v139(constB171) | v140(constB171)))) | v168(constB171) | (~(v139(constB171) | v140(constB171)))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26337,plain,
% 14.92/10.98 (v168(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26336, 26320, 26335])).
% 14.92/10.98 tff(26338,plain,
% 14.92/10.98 ((v141(constB171) | v168(constB171)) | (~v168(constB171))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26339,plain,
% 14.92/10.98 (v141(constB171) | v168(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26338, 26337])).
% 14.92/10.98 tff(26340,plain,
% 14.92/10.98 ((~(v167(constB171) <=> (v141(constB171) | v168(constB171)))) | v167(constB171) | (~(v141(constB171) | v168(constB171)))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26341,plain,
% 14.92/10.98 (v167(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26340, 26339, 26333])).
% 14.92/10.98 tff(26342,plain,
% 14.92/10.98 ((v142(constB171) | v167(constB171)) | (~v167(constB171))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26343,plain,
% 14.92/10.98 (v142(constB171) | v167(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26342, 26341])).
% 14.92/10.98 tff(26344,plain,
% 14.92/10.98 ((~(v166(constB171) <=> (v142(constB171) | v167(constB171)))) | v166(constB171) | (~(v142(constB171) | v167(constB171)))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26345,plain,
% 14.92/10.98 (v166(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26344, 26343, 26331])).
% 14.92/10.98 tff(26346,plain,
% 14.92/10.98 ((v145(constB171) | v166(constB171)) | (~v166(constB171))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26347,plain,
% 14.92/10.98 (v145(constB171) | v166(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26346, 26345])).
% 14.92/10.98 tff(26348,plain,
% 14.92/10.98 ((~(v165(constB171) <=> (v145(constB171) | v166(constB171)))) | v165(constB171) | (~(v145(constB171) | v166(constB171)))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26349,plain,
% 14.92/10.98 (v165(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26348, 26347, 26329])).
% 14.92/10.98 tff(26350,plain,
% 14.92/10.98 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB171)) | (v162(constB171) <=> v169(constB171)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB171)) | (v162(constB171) <=> v169(constB171)))),
% 14.92/10.98 inference(rewrite,[status(thm)],[])).
% 14.92/10.98 tff(26351,plain,
% 14.92/10.98 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB171)) | (v162(constB171) <=> v169(constB171)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26352,plain,
% 14.92/10.98 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB171)) | (v162(constB171) <=> v169(constB171))),
% 14.92/10.98 inference(modus_ponens,[status(thm)],[26351, 26350])).
% 14.92/10.98 tff(26353,plain,
% 14.92/10.98 ((~v165(constB171)) | (v162(constB171) <=> v169(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26352, 2426])).
% 14.92/10.98 tff(26354,plain,
% 14.92/10.98 (v162(constB171) <=> v169(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26353, 26349])).
% 14.92/10.98 tff(26355,plain,
% 14.92/10.98 ((~(v162(constB171) <=> v169(constB171))) | (~v162(constB171)) | v169(constB171)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26356,plain,
% 14.92/10.98 (~v162(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26355, 26354, 26327])).
% 14.92/10.98 tff(26357,plain,
% 14.92/10.98 ((~(v160(constB171) <=> v162(constB171))) | (~v160(constB171)) | v162(constB171)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26358,plain,
% 14.92/10.98 ((~(v160(constB171) <=> v162(constB171))) | (~v160(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26357, 26356])).
% 14.92/10.98 tff(26359,plain,
% 14.92/10.98 (~v160(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26358, 26006])).
% 14.92/10.98 tff(26360,plain,
% 14.92/10.98 (((~v184(constB171)) | (~v160(constB171))) | v160(constB171)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26361,plain,
% 14.92/10.98 ((~v184(constB171)) | (~v160(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26360, 26359])).
% 14.92/10.98 tff(26362,plain,
% 14.92/10.98 ((~(v187(constB171) <=> (~((~v184(constB171)) | (~v160(constB171)))))) | (~v187(constB171)) | (~((~v184(constB171)) | (~v160(constB171))))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26363,plain,
% 14.92/10.98 (~v187(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26362, 26361, 26004])).
% 14.92/10.98 tff(26364,plain,
% 14.92/10.98 (((~v186(constB171)) | (~v187(constB171))) | v187(constB171)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26365,plain,
% 14.92/10.98 ((~v186(constB171)) | (~v187(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26364, 26363])).
% 14.92/10.98 tff(26366,plain,
% 14.92/10.98 ((~(v185(constB171) <=> (~((~v186(constB171)) | (~v187(constB171)))))) | (~v185(constB171)) | (~((~v186(constB171)) | (~v187(constB171))))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26367,plain,
% 14.92/10.98 (~v185(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26366, 26365, 26002])).
% 14.92/10.98 tff(26368,plain,
% 14.92/10.98 ((~(v181(constB171) | v185(constB171))) | v181(constB171) | v185(constB171)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26369,plain,
% 14.92/10.98 (~(v181(constB171) | v185(constB171))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26368, 26367, 26000])).
% 14.92/10.98 tff(26370,plain,
% 14.92/10.98 ((~(v178(constB171) <=> (v181(constB171) | v185(constB171)))) | (~v178(constB171)) | (v181(constB171) | v185(constB171))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26371,plain,
% 14.92/10.98 (~v178(constB171)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26370, 26369, 25989])).
% 14.92/10.98 tff(26372,plain,
% 14.92/10.98 ((~(v180(constB172) <=> v178(constB171))) | (~v180(constB172)) | v178(constB171)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26373,plain,
% 14.92/10.98 (~v180(constB172)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26372, 26371, 25987])).
% 14.92/10.98 tff(26374,plain,
% 14.92/10.98 ((~(v158(constB172) <=> v180(constB172))) | (~v158(constB172)) | v180(constB172)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26375,plain,
% 14.92/10.98 (~v158(constB172)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26374, 26373, 25983])).
% 14.92/10.98 tff(26376,plain,
% 14.92/10.98 (((~v158(constB172)) | (~v182(constB172))) | v158(constB172)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26377,plain,
% 14.92/10.98 ((~v158(constB172)) | (~v182(constB172))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26376, 26375])).
% 14.92/10.98 tff(26378,plain,
% 14.92/10.98 ((~(v181(constB172) <=> (~((~v158(constB172)) | (~v182(constB172)))))) | (~v181(constB172)) | (~((~v158(constB172)) | (~v182(constB172))))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26379,plain,
% 14.92/10.98 (~v181(constB172)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26378, 26377, 25981])).
% 14.92/10.98 tff(26380,plain,
% 14.92/10.98 ((~(v181(constB172) | v185(constB172))) | v181(constB172) | v185(constB172)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26381,plain,
% 14.92/10.98 (~(v181(constB172) | v185(constB172))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26380, 26379, 25974])).
% 14.92/10.98 tff(26382,plain,
% 14.92/10.98 ((~(v178(constB172) <=> (v181(constB172) | v185(constB172)))) | (~v178(constB172)) | (v181(constB172) | v185(constB172))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26383,plain,
% 14.92/10.98 (~v178(constB172)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26382, 26381, 25961])).
% 14.92/10.98 tff(26384,plain,
% 14.92/10.98 ((~(v180(constB173) <=> v178(constB172))) | (~v180(constB173)) | v178(constB172)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26385,plain,
% 14.92/10.98 (~v180(constB173)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26384, 26383, 25959])).
% 14.92/10.98 tff(26386,plain,
% 14.92/10.98 ((~(v158(constB173) <=> v180(constB173))) | (~v158(constB173)) | v180(constB173)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26387,plain,
% 14.92/10.98 (~v158(constB173)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26386, 26385, 25955])).
% 14.92/10.98 tff(26388,plain,
% 14.92/10.98 (((~v158(constB173)) | (~v206(constB173))) | v158(constB173)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26389,plain,
% 14.92/10.98 ((~v158(constB173)) | (~v206(constB173))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26388, 26387])).
% 14.92/10.98 tff(26390,plain,
% 14.92/10.98 ((~(v205(constB173) <=> (~((~v158(constB173)) | (~v206(constB173)))))) | (~v205(constB173)) | (~((~v158(constB173)) | (~v206(constB173))))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26391,plain,
% 14.92/10.98 (~v205(constB173)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26390, 26389, 25953])).
% 14.92/10.98 tff(26392,plain,
% 14.92/10.98 ((~(v205(constB173) | v209(constB173))) | v205(constB173) | v209(constB173)),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26393,plain,
% 14.92/10.98 (~(v205(constB173) | v209(constB173))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26392, 26391, 25946])).
% 14.92/10.98 tff(26394,plain,
% 14.92/10.98 ((~(v204(constB173) <=> (v205(constB173) | v209(constB173)))) | (~v204(constB173)) | (v205(constB173) | v209(constB173))),
% 14.92/10.98 inference(tautology,[status(thm)],[])).
% 14.92/10.98 tff(26395,plain,
% 14.92/10.98 (~v204(constB173)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26394, 26393, 24573])).
% 14.92/10.98 tff(26396,plain,
% 14.92/10.98 ($false),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26395, 24571])).
% 14.92/10.98 tff(26397,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.92/10.98 tff(26398,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 14.92/10.98 tff(26399,plain,
% 14.92/10.98 (v204(constB123) <=> v204(VarCurr!0)),
% 14.92/10.98 inference(monotonicity,[status(thm)],[26398])).
% 14.92/10.98 tff(26400,plain,
% 14.92/10.98 (v204(VarCurr!0) <=> v204(constB123)),
% 14.92/10.98 inference(symmetry,[status(thm)],[26399])).
% 14.92/10.98 tff(26401,plain,
% 14.92/10.98 (v204(constB123)),
% 14.92/10.98 inference(modus_ponens,[status(thm)],[27, 26400])).
% 14.92/10.98 tff(26402,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB123) <=> (v205(constB123) | v209(constB123)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26403,plain,
% 14.92/10.98 (v204(constB123) <=> (v205(constB123) | v209(constB123))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26402, 35])).
% 14.92/10.98 tff(26404,plain,
% 14.92/10.98 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123))))))),
% 14.92/10.98 inference(rewrite,[status(thm)],[])).
% 14.92/10.98 tff(26405,plain,
% 14.92/10.98 ((v209(constB123) <=> (~((~v206(constB123)) | (~v191(constB123))))) <=> (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123)))))),
% 14.92/10.98 inference(rewrite,[status(thm)],[])).
% 14.92/10.98 tff(26406,plain,
% 14.92/10.98 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v206(constB123)) | (~v191(constB123)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123))))))),
% 14.92/10.98 inference(monotonicity,[status(thm)],[26405])).
% 14.92/10.98 tff(26407,plain,
% 14.92/10.98 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v206(constB123)) | (~v191(constB123)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123))))))),
% 14.92/10.98 inference(transitivity,[status(thm)],[26406, 26404])).
% 14.92/10.98 tff(26408,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v206(constB123)) | (~v191(constB123)))))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26409,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123)))))),
% 14.92/10.98 inference(modus_ponens,[status(thm)],[26408, 26407])).
% 14.92/10.98 tff(26410,plain,
% 14.92/10.98 (v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123))))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26409, 47])).
% 14.92/10.98 tff(26411,plain,
% 14.92/10.98 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB123) <=> v196(constB123))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26412,plain,
% 14.92/10.98 (v191(constB123) <=> v196(constB123)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26411, 64])).
% 14.92/10.98 tff(26413,plain,
% 14.92/10.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB122, constB123)) | (v196(constB123) <=> v194(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB122, constB123)) | (v196(constB123) <=> v194(constB122)))),
% 14.92/10.98 inference(rewrite,[status(thm)],[])).
% 14.92/10.98 tff(26414,plain,
% 14.92/10.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB122, constB123)) | (v196(constB123) <=> v194(constB122)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26415,plain,
% 14.92/10.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB122, constB123)) | (v196(constB123) <=> v194(constB122))),
% 14.92/10.98 inference(modus_ponens,[status(thm)],[26414, 26413])).
% 14.92/10.98 tff(26416,plain,
% 14.92/10.98 (v196(constB123) <=> v194(constB122)),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26415, 17878, 76])).
% 14.92/10.98 tff(26417,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB122) <=> (v197(constB122) | v198(constB122)))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26418,plain,
% 14.92/10.98 (v194(constB122) <=> (v197(constB122) | v198(constB122))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26417, 90])).
% 14.92/10.98 tff(26419,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB122) <=> (~((~v158(constB122)) | (~v199(constB122)))))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26420,plain,
% 14.92/10.98 (v198(constB122) <=> (~((~v158(constB122)) | (~v199(constB122))))),
% 14.92/10.98 inference(unit_resolution,[status(thm)],[26419, 102])).
% 14.92/10.98 tff(26421,plain,
% 14.92/10.98 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB122) <=> (~((~v186(constB122)) | (~v200(constB122)))))),
% 14.92/10.98 inference(quant_inst,[status(thm)],[])).
% 14.92/10.98 tff(26422,plain,
% 14.92/10.98 (v199(constB122) <=> (~((~v186(constB122)) | (~v200(constB122))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26421, 114])).
% 14.92/10.99 tff(26423,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB122) <=> (~((~v184(constB122)) | (~v84(constB122)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26424,plain,
% 14.92/10.99 (v200(constB122) <=> (~((~v184(constB122)) | (~v84(constB122))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26423, 126])).
% 14.92/10.99 tff(26425,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26426,plain,
% 14.92/10.99 (v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26425, 138])).
% 14.92/10.99 tff(26427,plain,
% 14.92/10.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26428,plain,
% 14.92/10.99 ((~v39(constB122)) <=> v1(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26427, 147])).
% 14.92/10.99 tff(26429,plain,
% 14.92/10.99 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26430,plain,
% 14.92/10.99 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26429, 17940])).
% 14.92/10.99 tff(26431,plain,
% 14.92/10.99 (~v39(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26430, 26428])).
% 14.92/10.99 tff(26432,plain,
% 14.92/10.99 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26433,plain,
% 14.92/10.99 ((~v39(constB122)) | (~v9(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26432, 26431])).
% 14.92/10.99 tff(26434,plain,
% 14.92/10.99 ((~(v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v184(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26435,plain,
% 14.92/10.99 ((~(v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v184(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26434, 26433])).
% 14.92/10.99 tff(26436,plain,
% 14.92/10.99 (~v184(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26435, 26426])).
% 14.92/10.99 tff(26437,plain,
% 14.92/10.99 (((~v184(constB122)) | (~v84(constB122))) | v184(constB122)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26438,plain,
% 14.92/10.99 ((~v184(constB122)) | (~v84(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26437, 26436])).
% 14.92/10.99 tff(26439,plain,
% 14.92/10.99 ((~(v200(constB122) <=> (~((~v184(constB122)) | (~v84(constB122)))))) | (~v200(constB122)) | (~((~v184(constB122)) | (~v84(constB122))))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26440,plain,
% 14.92/10.99 ((~(v200(constB122) <=> (~((~v184(constB122)) | (~v84(constB122)))))) | (~v200(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26439, 26438])).
% 14.92/10.99 tff(26441,plain,
% 14.92/10.99 (~v200(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26440, 26424])).
% 14.92/10.99 tff(26442,plain,
% 14.92/10.99 (((~v186(constB122)) | (~v200(constB122))) | v200(constB122)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26443,plain,
% 14.92/10.99 ((~v186(constB122)) | (~v200(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26442, 26441])).
% 14.92/10.99 tff(26444,plain,
% 14.92/10.99 ((~(v199(constB122) <=> (~((~v186(constB122)) | (~v200(constB122)))))) | (~v199(constB122)) | (~((~v186(constB122)) | (~v200(constB122))))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26445,plain,
% 14.92/10.99 (~v199(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26444, 26443, 26422])).
% 14.92/10.99 tff(26446,plain,
% 14.92/10.99 (((~v158(constB122)) | (~v199(constB122))) | v199(constB122)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26447,plain,
% 14.92/10.99 ((~v158(constB122)) | (~v199(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26446, 26445])).
% 14.92/10.99 tff(26448,plain,
% 14.92/10.99 ((~(v198(constB122) <=> (~((~v158(constB122)) | (~v199(constB122)))))) | (~v198(constB122)) | (~((~v158(constB122)) | (~v199(constB122))))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26449,plain,
% 14.92/10.99 (~v198(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26448, 26447, 26420])).
% 14.92/10.99 tff(26450,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB122) <=> (~((~v182(constB122)) | (~v191(constB122)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26451,plain,
% 14.92/10.99 (v197(constB122) <=> (~((~v182(constB122)) | (~v191(constB122))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26450, 183])).
% 14.92/10.99 tff(26452,plain,
% 14.92/10.99 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB122) <=> v196(constB122))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26453,plain,
% 14.92/10.99 (v191(constB122) <=> v196(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26452, 64])).
% 14.92/10.99 tff(26454,plain,
% 14.92/10.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB121, constB122)) | (v196(constB122) <=> v194(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB121, constB122)) | (v196(constB122) <=> v194(constB121)))),
% 14.92/10.99 inference(rewrite,[status(thm)],[])).
% 14.92/10.99 tff(26455,plain,
% 14.92/10.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB121, constB122)) | (v196(constB122) <=> v194(constB121)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26456,plain,
% 14.92/10.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB121, constB122)) | (v196(constB122) <=> v194(constB121))),
% 14.92/10.99 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 14.92/10.99 tff(26457,plain,
% 14.92/10.99 (v196(constB122) <=> v194(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26456, 17910, 76])).
% 14.92/10.99 tff(26458,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB121) <=> (v197(constB121) | v198(constB121)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26459,plain,
% 14.92/10.99 (v194(constB121) <=> (v197(constB121) | v198(constB121))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26458, 90])).
% 14.92/10.99 tff(26460,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB121) <=> (~((~v182(constB121)) | (~v191(constB121)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26461,plain,
% 14.92/10.99 (v197(constB121) <=> (~((~v182(constB121)) | (~v191(constB121))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26460, 183])).
% 14.92/10.99 tff(26462,plain,
% 14.92/10.99 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB121)) <=> v183(constB121))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26463,plain,
% 14.92/10.99 ((~v182(constB121)) <=> v183(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26462, 205])).
% 14.92/10.99 tff(26464,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB121) <=> (v184(constB121) | v26(constB121)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26465,plain,
% 14.92/10.99 (v183(constB121) <=> (v184(constB121) | v26(constB121))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26464, 214])).
% 14.92/10.99 tff(26466,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26467,plain,
% 14.92/10.99 (v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26466, 138])).
% 14.92/10.99 tff(26468,plain,
% 14.92/10.99 (((~![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)))),
% 14.92/10.99 inference(rewrite,[status(thm)],[])).
% 14.92/10.99 tff(26469,plain,
% 14.92/10.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26470,plain,
% 14.92/10.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 14.92/10.99 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 14.92/10.99 tff(26471,plain,
% 14.92/10.99 (v13(constB122) <=> v9(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26470, 17910, 228])).
% 14.92/10.99 tff(26472,plain,
% 14.92/10.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26473,plain,
% 14.92/10.99 (v6(constB122) <=> v13(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26472, 242])).
% 14.92/10.99 tff(26474,plain,
% 14.92/10.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26475,plain,
% 14.92/10.99 ((~v21(constB122)) <=> v6(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26474, 251])).
% 14.92/10.99 tff(26476,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26477,plain,
% 14.92/10.99 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26476, 260])).
% 14.92/10.99 tff(26478,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26479,plain,
% 14.92/10.99 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26478, 272])).
% 14.92/10.99 tff(26480,plain,
% 14.92/10.99 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26481,plain,
% 14.92/10.99 ((~v4(constB122)) <=> v18(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26480, 281])).
% 14.92/10.99 tff(26482,plain,
% 14.92/10.99 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB122)),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26483,plain,
% 14.92/10.99 (v4(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26482, 290])).
% 14.92/10.99 tff(26484,plain,
% 14.92/10.99 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26485,plain,
% 14.92/10.99 (~v18(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26484, 26483, 26481])).
% 14.92/10.99 tff(26486,plain,
% 14.92/10.99 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26487,plain,
% 14.92/10.99 ((~v19(constB122)) | (~v22(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26486, 26485, 26479])).
% 14.92/10.99 tff(26488,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26489,plain,
% 14.92/10.99 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26488, 303])).
% 14.92/10.99 tff(26490,plain,
% 14.92/10.99 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26491,plain,
% 14.92/10.99 (v1(constB122) | v6(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26490, 17940])).
% 14.92/10.99 tff(26492,plain,
% 14.92/10.99 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26493,plain,
% 14.92/10.99 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26492, 26491])).
% 14.92/10.99 tff(26494,plain,
% 14.92/10.99 (v22(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26493, 26489])).
% 14.92/10.99 tff(26495,plain,
% 14.92/10.99 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26496,plain,
% 14.92/10.99 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26495, 26494])).
% 14.92/10.99 tff(26497,plain,
% 14.92/10.99 (~v19(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26496, 26487])).
% 14.92/10.99 tff(26498,plain,
% 14.92/10.99 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26499,plain,
% 14.92/10.99 (~(v20(constB122) | v21(constB122))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26498, 26497, 26477])).
% 14.92/10.99 tff(26500,plain,
% 14.92/10.99 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26501,plain,
% 14.92/10.99 (~v21(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26500, 26499])).
% 14.92/10.99 tff(26502,plain,
% 14.92/10.99 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26503,plain,
% 14.92/10.99 (v6(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26502, 26501, 26475])).
% 14.92/10.99 tff(26504,plain,
% 14.92/10.99 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26505,plain,
% 14.92/10.99 (v13(constB122)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26504, 26503, 26473])).
% 14.92/10.99 tff(26506,plain,
% 14.92/10.99 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26507,plain,
% 14.92/10.99 (v9(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26506, 26505, 26471])).
% 14.92/10.99 tff(26508,plain,
% 14.92/10.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26509,plain,
% 14.92/10.99 ((~v39(constB121)) <=> v1(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26508, 147])).
% 14.92/10.99 tff(26510,plain,
% 14.92/10.99 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26511,plain,
% 14.92/10.99 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26510, 17932])).
% 14.92/10.99 tff(26512,plain,
% 14.92/10.99 (v39(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26511, 26509])).
% 14.92/10.99 tff(26513,plain,
% 14.92/10.99 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26514,plain,
% 14.92/10.99 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26513, 26512])).
% 14.92/10.99 tff(26515,plain,
% 14.92/10.99 (~((~v39(constB121)) | (~v9(constB121)))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26514, 26507])).
% 14.92/10.99 tff(26516,plain,
% 14.92/10.99 ((~(v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v184(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26517,plain,
% 14.92/10.99 (v184(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26516, 26515, 26467])).
% 14.92/10.99 tff(26518,plain,
% 14.92/10.99 ((v184(constB121) | v26(constB121)) | (~v184(constB121))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26519,plain,
% 14.92/10.99 (v184(constB121) | v26(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26518, 26517])).
% 14.92/10.99 tff(26520,plain,
% 14.92/10.99 ((~(v183(constB121) <=> (v184(constB121) | v26(constB121)))) | v183(constB121) | (~(v184(constB121) | v26(constB121)))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26521,plain,
% 14.92/10.99 (v183(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26520, 26519, 26465])).
% 14.92/10.99 tff(26522,plain,
% 14.92/10.99 ((~((~v182(constB121)) <=> v183(constB121))) | (~v182(constB121)) | (~v183(constB121))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26523,plain,
% 14.92/10.99 (~v182(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26522, 26521, 26463])).
% 14.92/10.99 tff(26524,plain,
% 14.92/10.99 (((~v182(constB121)) | (~v191(constB121))) | v182(constB121)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26525,plain,
% 14.92/10.99 ((~v182(constB121)) | (~v191(constB121))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26524, 26523])).
% 14.92/10.99 tff(26526,plain,
% 14.92/10.99 ((~(v197(constB121) <=> (~((~v182(constB121)) | (~v191(constB121)))))) | (~v197(constB121)) | (~((~v182(constB121)) | (~v191(constB121))))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26527,plain,
% 14.92/10.99 (~v197(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26526, 26525, 26461])).
% 14.92/10.99 tff(26528,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB121) <=> (~((~v158(constB121)) | (~v199(constB121)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26529,plain,
% 14.92/10.99 (v198(constB121) <=> (~((~v158(constB121)) | (~v199(constB121))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26528, 102])).
% 14.92/10.99 tff(26530,plain,
% 14.92/10.99 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB121) <=> v180(constB121))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26531,plain,
% 14.92/10.99 (v158(constB121) <=> v180(constB121)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26530, 358])).
% 14.92/10.99 tff(26532,plain,
% 14.92/10.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> v178(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB120, constB121)) | (v180(constB121) <=> v178(constB120)))),
% 14.92/10.99 inference(rewrite,[status(thm)],[])).
% 14.92/10.99 tff(26533,plain,
% 14.92/10.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> v178(constB120)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26534,plain,
% 14.92/10.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB120, constB121)) | (v180(constB121) <=> v178(constB120))),
% 14.92/10.99 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 14.92/10.99 tff(26535,plain,
% 14.92/10.99 (v180(constB121) <=> v178(constB120)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26534, 17965, 370])).
% 14.92/10.99 tff(26536,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB120) <=> (v181(constB120) | v185(constB120)))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26537,plain,
% 14.92/10.99 (v178(constB120) <=> (v181(constB120) | v185(constB120))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26536, 384])).
% 14.92/10.99 tff(26538,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB120) <=> (~((~v186(constB120)) | (~v187(constB120)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26539,plain,
% 14.92/10.99 (v185(constB120) <=> (~((~v186(constB120)) | (~v187(constB120))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26538, 396])).
% 14.92/10.99 tff(26540,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB120) <=> (~((~v184(constB120)) | (~v160(constB120)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26541,plain,
% 14.92/10.99 (v187(constB120) <=> (~((~v184(constB120)) | (~v160(constB120))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26540, 408])).
% 14.92/10.99 tff(26542,plain,
% 14.92/10.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26543,plain,
% 14.92/10.99 (v184(constB120) <=> (~((~v39(constB120)) | (~v9(constB120))))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26542, 138])).
% 14.92/10.99 tff(26544,plain,
% 14.92/10.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB120)) <=> v1(constB120))),
% 14.92/10.99 inference(quant_inst,[status(thm)],[])).
% 14.92/10.99 tff(26545,plain,
% 14.92/10.99 ((~v39(constB120)) <=> v1(constB120)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26544, 147])).
% 14.92/10.99 tff(26546,plain,
% 14.92/10.99 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120)) | (~v1(constB120))),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26547,plain,
% 14.92/10.99 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26546, 18027])).
% 14.92/10.99 tff(26548,plain,
% 14.92/10.99 (~v39(constB120)),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26547, 26545])).
% 14.92/10.99 tff(26549,plain,
% 14.92/10.99 (((~v39(constB120)) | (~v9(constB120))) | v39(constB120)),
% 14.92/10.99 inference(tautology,[status(thm)],[])).
% 14.92/10.99 tff(26550,plain,
% 14.92/10.99 ((~v39(constB120)) | (~v9(constB120))),
% 14.92/10.99 inference(unit_resolution,[status(thm)],[26549, 26548])).
% 14.92/10.99 tff(26551,plain,
% 14.92/10.99 ((~(v184(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v184(constB120)) | (~((~v39(constB120)) | (~v9(constB120))))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26552,plain,
% 14.92/11.00 ((~(v184(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v184(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26551, 26550])).
% 14.92/11.00 tff(26553,plain,
% 14.92/11.00 (~v184(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26552, 26543])).
% 14.92/11.00 tff(26554,plain,
% 14.92/11.00 (((~v184(constB120)) | (~v160(constB120))) | v184(constB120)),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26555,plain,
% 14.92/11.00 ((~v184(constB120)) | (~v160(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26554, 26553])).
% 14.92/11.00 tff(26556,plain,
% 14.92/11.00 ((~(v187(constB120) <=> (~((~v184(constB120)) | (~v160(constB120)))))) | (~v187(constB120)) | (~((~v184(constB120)) | (~v160(constB120))))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26557,plain,
% 14.92/11.00 ((~(v187(constB120) <=> (~((~v184(constB120)) | (~v160(constB120)))))) | (~v187(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26556, 26555])).
% 14.92/11.00 tff(26558,plain,
% 14.92/11.00 (~v187(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26557, 26541])).
% 14.92/11.00 tff(26559,plain,
% 14.92/11.00 (((~v186(constB120)) | (~v187(constB120))) | v187(constB120)),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26560,plain,
% 14.92/11.00 ((~v186(constB120)) | (~v187(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26559, 26558])).
% 14.92/11.00 tff(26561,plain,
% 14.92/11.00 ((~(v185(constB120) <=> (~((~v186(constB120)) | (~v187(constB120)))))) | (~v185(constB120)) | (~((~v186(constB120)) | (~v187(constB120))))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26562,plain,
% 14.92/11.00 (~v185(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26561, 26560, 26539])).
% 14.92/11.00 tff(26563,plain,
% 14.92/11.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120))))))),
% 14.92/11.00 inference(rewrite,[status(thm)],[])).
% 14.92/11.00 tff(26564,plain,
% 14.92/11.00 ((v181(constB120) <=> (~((~v182(constB120)) | (~v158(constB120))))) <=> (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120)))))),
% 14.92/11.00 inference(rewrite,[status(thm)],[])).
% 14.92/11.00 tff(26565,plain,
% 14.92/11.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v182(constB120)) | (~v158(constB120)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120))))))),
% 14.92/11.00 inference(monotonicity,[status(thm)],[26564])).
% 14.92/11.00 tff(26566,plain,
% 14.92/11.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v182(constB120)) | (~v158(constB120)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120))))))),
% 14.92/11.00 inference(transitivity,[status(thm)],[26565, 26563])).
% 14.92/11.00 tff(26567,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v182(constB120)) | (~v158(constB120)))))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26568,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120)))))),
% 14.92/11.00 inference(modus_ponens,[status(thm)],[26567, 26566])).
% 14.92/11.00 tff(26569,plain,
% 14.92/11.00 (v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120))))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26568, 444])).
% 14.92/11.00 tff(26570,plain,
% 14.92/11.00 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB120) <=> v180(constB120))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26571,plain,
% 14.92/11.00 (v158(constB120) <=> v180(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26570, 358])).
% 14.92/11.00 tff(26572,plain,
% 14.92/11.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> v178(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB119, constB120)) | (v180(constB120) <=> v178(constB119)))),
% 14.92/11.00 inference(rewrite,[status(thm)],[])).
% 14.92/11.00 tff(26573,plain,
% 14.92/11.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> v178(constB119)))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26574,plain,
% 14.92/11.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB119, constB120)) | (v180(constB120) <=> v178(constB119))),
% 14.92/11.00 inference(modus_ponens,[status(thm)],[26573, 26572])).
% 14.92/11.00 tff(26575,plain,
% 14.92/11.00 (v180(constB120) <=> v178(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26574, 17997, 370])).
% 14.92/11.00 tff(26576,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB119) <=> (v181(constB119) | v185(constB119)))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26577,plain,
% 14.92/11.00 (v178(constB119) <=> (v181(constB119) | v185(constB119))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26576, 384])).
% 14.92/11.00 tff(26578,plain,
% 14.92/11.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119))))))),
% 14.92/11.00 inference(rewrite,[status(thm)],[])).
% 14.92/11.00 tff(26579,plain,
% 14.92/11.00 ((v181(constB119) <=> (~((~v182(constB119)) | (~v158(constB119))))) <=> (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119)))))),
% 14.92/11.00 inference(rewrite,[status(thm)],[])).
% 14.92/11.00 tff(26580,plain,
% 14.92/11.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v182(constB119)) | (~v158(constB119)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119))))))),
% 14.92/11.00 inference(monotonicity,[status(thm)],[26579])).
% 14.92/11.00 tff(26581,plain,
% 14.92/11.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v182(constB119)) | (~v158(constB119)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119))))))),
% 14.92/11.00 inference(transitivity,[status(thm)],[26580, 26578])).
% 14.92/11.00 tff(26582,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v182(constB119)) | (~v158(constB119)))))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26583,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119)))))),
% 14.92/11.00 inference(modus_ponens,[status(thm)],[26582, 26581])).
% 14.92/11.00 tff(26584,plain,
% 14.92/11.00 (v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119))))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26583, 444])).
% 14.92/11.00 tff(26585,plain,
% 14.92/11.00 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB119)) <=> v183(constB119))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26586,plain,
% 14.92/11.00 ((~v182(constB119)) <=> v183(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26585, 205])).
% 14.92/11.00 tff(26587,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB119) <=> (v184(constB119) | v26(constB119)))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26588,plain,
% 14.92/11.00 (v183(constB119) <=> (v184(constB119) | v26(constB119))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26587, 214])).
% 14.92/11.00 tff(26589,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26590,plain,
% 14.92/11.00 (v184(constB119) <=> (~((~v39(constB119)) | (~v9(constB119))))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26589, 138])).
% 14.92/11.00 tff(26591,plain,
% 14.92/11.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 14.92/11.00 inference(rewrite,[status(thm)],[])).
% 14.92/11.00 tff(26592,plain,
% 14.92/11.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26593,plain,
% 14.92/11.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119))),
% 14.92/11.00 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 14.92/11.00 tff(26594,plain,
% 14.92/11.00 (v13(constB120) <=> v9(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26593, 17997, 228])).
% 14.92/11.00 tff(26595,plain,
% 14.92/11.00 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB120) <=> v13(constB120))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26596,plain,
% 14.92/11.00 (v6(constB120) <=> v13(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26595, 242])).
% 14.92/11.00 tff(26597,plain,
% 14.92/11.00 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB120)) <=> v6(constB120))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26598,plain,
% 14.92/11.00 ((~v21(constB120)) <=> v6(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26597, 251])).
% 14.92/11.00 tff(26599,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB120) <=> (v20(constB120) | v21(constB120)))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26600,plain,
% 14.92/11.00 (v19(constB120) <=> (v20(constB120) | v21(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26599, 260])).
% 14.92/11.00 tff(26601,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26602,plain,
% 14.92/11.00 (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120))))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26601, 272])).
% 14.92/11.00 tff(26603,plain,
% 14.92/11.00 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB120)) <=> v18(constB120))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26604,plain,
% 14.92/11.00 ((~v4(constB120)) <=> v18(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26603, 281])).
% 14.92/11.00 tff(26605,plain,
% 14.92/11.00 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB120)),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26606,plain,
% 14.92/11.00 (v4(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26605, 290])).
% 14.92/11.00 tff(26607,plain,
% 14.92/11.00 ((~((~v4(constB120)) <=> v18(constB120))) | (~v4(constB120)) | (~v18(constB120))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26608,plain,
% 14.92/11.00 (~v18(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26607, 26606, 26604])).
% 14.92/11.00 tff(26609,plain,
% 14.92/11.00 ((~(v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))) | v18(constB120) | ((~v19(constB120)) | (~v22(constB120)))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26610,plain,
% 14.92/11.00 ((~v19(constB120)) | (~v22(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26609, 26608, 26602])).
% 14.92/11.00 tff(26611,plain,
% 14.92/11.00 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB120) <=> (v1(constB120) | v6(constB120)))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26612,plain,
% 14.92/11.00 (v22(constB120) <=> (v1(constB120) | v6(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26611, 303])).
% 14.92/11.00 tff(26613,plain,
% 14.92/11.00 ((v1(constB120) | v6(constB120)) | (~v1(constB120))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26614,plain,
% 14.92/11.00 (v1(constB120) | v6(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26613, 18027])).
% 14.92/11.00 tff(26615,plain,
% 14.92/11.00 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120) | (~(v1(constB120) | v6(constB120)))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26616,plain,
% 14.92/11.00 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26615, 26614])).
% 14.92/11.00 tff(26617,plain,
% 14.92/11.00 (v22(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26616, 26612])).
% 14.92/11.00 tff(26618,plain,
% 14.92/11.00 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120)) | (~v22(constB120))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26619,plain,
% 14.92/11.00 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26618, 26617])).
% 14.92/11.00 tff(26620,plain,
% 14.92/11.00 (~v19(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26619, 26610])).
% 14.92/11.00 tff(26621,plain,
% 14.92/11.00 ((~(v19(constB120) <=> (v20(constB120) | v21(constB120)))) | v19(constB120) | (~(v20(constB120) | v21(constB120)))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26622,plain,
% 14.92/11.00 (~(v20(constB120) | v21(constB120))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26621, 26620, 26600])).
% 14.92/11.00 tff(26623,plain,
% 14.92/11.00 ((v20(constB120) | v21(constB120)) | (~v21(constB120))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26624,plain,
% 14.92/11.00 (~v21(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26623, 26622])).
% 14.92/11.00 tff(26625,plain,
% 14.92/11.00 ((~((~v21(constB120)) <=> v6(constB120))) | v21(constB120) | v6(constB120)),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26626,plain,
% 14.92/11.00 (v6(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26625, 26624, 26598])).
% 14.92/11.00 tff(26627,plain,
% 14.92/11.00 ((~(v6(constB120) <=> v13(constB120))) | (~v6(constB120)) | v13(constB120)),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26628,plain,
% 14.92/11.00 (v13(constB120)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26627, 26626, 26596])).
% 14.92/11.00 tff(26629,plain,
% 14.92/11.00 ((~(v13(constB120) <=> v9(constB119))) | (~v13(constB120)) | v9(constB119)),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26630,plain,
% 14.92/11.00 (v9(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26629, 26628, 26594])).
% 14.92/11.00 tff(26631,plain,
% 14.92/11.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB119)) <=> v1(constB119))),
% 14.92/11.00 inference(quant_inst,[status(thm)],[])).
% 14.92/11.00 tff(26632,plain,
% 14.92/11.00 ((~v39(constB119)) <=> v1(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26631, 147])).
% 14.92/11.00 tff(26633,plain,
% 14.92/11.00 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119) | v1(constB119)),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26634,plain,
% 14.92/11.00 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26633, 18019])).
% 14.92/11.00 tff(26635,plain,
% 14.92/11.00 (v39(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26634, 26632])).
% 14.92/11.00 tff(26636,plain,
% 14.92/11.00 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v39(constB119)) | (~v9(constB119))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26637,plain,
% 14.92/11.00 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v9(constB119))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26636, 26635])).
% 14.92/11.00 tff(26638,plain,
% 14.92/11.00 (~((~v39(constB119)) | (~v9(constB119)))),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26637, 26630])).
% 14.92/11.00 tff(26639,plain,
% 14.92/11.00 ((~(v184(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))) | v184(constB119) | ((~v39(constB119)) | (~v9(constB119)))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26640,plain,
% 14.92/11.00 (v184(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26639, 26638, 26590])).
% 14.92/11.00 tff(26641,plain,
% 14.92/11.00 ((v184(constB119) | v26(constB119)) | (~v184(constB119))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26642,plain,
% 14.92/11.00 (v184(constB119) | v26(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26641, 26640])).
% 14.92/11.00 tff(26643,plain,
% 14.92/11.00 ((~(v183(constB119) <=> (v184(constB119) | v26(constB119)))) | v183(constB119) | (~(v184(constB119) | v26(constB119)))),
% 14.92/11.00 inference(tautology,[status(thm)],[])).
% 14.92/11.00 tff(26644,plain,
% 14.92/11.00 (v183(constB119)),
% 14.92/11.00 inference(unit_resolution,[status(thm)],[26643, 26642, 26588])).
% 14.92/11.00 tff(26645,plain,
% 14.92/11.00 ((~((~v182(constB119)) <=> v183(constB119))) | (~v182(constB119)) | (~v183(constB119))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26646,plain,
% 14.92/11.01 (~v182(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26645, 26644, 26586])).
% 14.92/11.01 tff(26647,plain,
% 14.92/11.01 (((~v158(constB119)) | (~v182(constB119))) | v182(constB119)),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26648,plain,
% 14.92/11.01 ((~v158(constB119)) | (~v182(constB119))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26647, 26646])).
% 14.92/11.01 tff(26649,plain,
% 14.92/11.01 ((~(v181(constB119) <=> (~((~v158(constB119)) | (~v182(constB119)))))) | (~v181(constB119)) | (~((~v158(constB119)) | (~v182(constB119))))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26650,plain,
% 14.92/11.01 (~v181(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26649, 26648, 26584])).
% 14.92/11.01 tff(26651,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB119) <=> (~((~v186(constB119)) | (~v187(constB119)))))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26652,plain,
% 14.92/11.01 (v185(constB119) <=> (~((~v186(constB119)) | (~v187(constB119))))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26651, 396])).
% 14.92/11.01 tff(26653,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB119) <=> (~((~v184(constB119)) | (~v160(constB119)))))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26654,plain,
% 14.92/11.01 (v187(constB119) <=> (~((~v184(constB119)) | (~v160(constB119))))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26653, 408])).
% 14.92/11.01 tff(26655,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB119) <=> v162(constB119))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26656,plain,
% 14.92/11.01 (v160(constB119) <=> v162(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26655, 549])).
% 14.92/11.01 tff(26657,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | (~v88(constB119, bitIndex0)))))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26658,plain,
% 14.92/11.01 (v141(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | (~v88(constB119, bitIndex0))))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26657, 564])).
% 14.92/11.01 tff(26659,plain,
% 14.92/11.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26660,plain,
% 14.92/11.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26661,plain,
% 14.92/11.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2))),
% 14.92/11.01 inference(modus_ponens,[status(thm)],[26660, 26659])).
% 14.92/11.01 tff(26662,plain,
% 14.92/11.01 (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26661, 579, 576])).
% 14.92/11.01 tff(26663,plain,
% 14.92/11.01 ((~(v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2))) | v88(constB119, bitIndex2) | (~v90(constB119, bitIndex2))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26664,plain,
% 14.92/11.01 (v88(constB119, bitIndex2)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26663, 18227, 26662])).
% 14.92/11.01 tff(26665,plain,
% 14.92/11.01 ((v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | (~v88(constB119, bitIndex0))) | (~v88(constB119, bitIndex2))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26666,plain,
% 14.92/11.01 (v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | (~v88(constB119, bitIndex0))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26665, 26664])).
% 14.92/11.01 tff(26667,plain,
% 14.92/11.01 ((~(v141(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | (~v88(constB119, bitIndex0)))))) | (~v141(constB119)) | (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | (~v88(constB119, bitIndex0))))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26668,plain,
% 14.92/11.01 (~v141(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26667, 26666, 26658])).
% 14.92/11.01 tff(26669,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB119) <=> (v139(constB119) | v140(constB119)))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26670,plain,
% 14.92/11.01 (v170(constB119) <=> (v139(constB119) | v140(constB119))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26669, 2216])).
% 14.92/11.01 tff(26671,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex1) | v88(constB119, bitIndex2))))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26672,plain,
% 14.92/11.01 (v139(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex1) | v88(constB119, bitIndex2)))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26671, 2231])).
% 14.92/11.01 tff(26673,plain,
% 14.92/11.01 ((v88(constB119, bitIndex0) | v88(constB119, bitIndex1) | v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex2))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26674,plain,
% 14.92/11.01 (v88(constB119, bitIndex0) | v88(constB119, bitIndex1) | v88(constB119, bitIndex2)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26673, 26664])).
% 14.92/11.01 tff(26675,plain,
% 14.92/11.01 ((~(v139(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex1) | v88(constB119, bitIndex2))))) | (~v139(constB119)) | (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex1) | v88(constB119, bitIndex2)))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26676,plain,
% 14.92/11.01 (~v139(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26675, 26674, 26672])).
% 14.92/11.01 tff(26677,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26678,plain,
% 14.92/11.01 ((v140(constB119) <=> (~(v88(constB119, bitIndex1) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex0))))) <=> (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26679,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex1) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))))),
% 14.92/11.01 inference(monotonicity,[status(thm)],[26678])).
% 14.92/11.01 tff(26680,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex1) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))))),
% 14.92/11.01 inference(transitivity,[status(thm)],[26679, 26677])).
% 14.92/11.01 tff(26681,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex1) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex0)))))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26682,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))),
% 14.92/11.01 inference(modus_ponens,[status(thm)],[26681, 26680])).
% 14.92/11.01 tff(26683,plain,
% 14.92/11.01 (v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26682, 2250])).
% 14.92/11.01 tff(26684,plain,
% 14.92/11.01 ((v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))) | (~v88(constB119, bitIndex2))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26685,plain,
% 14.92/11.01 (v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26684, 26664])).
% 14.92/11.01 tff(26686,plain,
% 14.92/11.01 ((~(v140(constB119) <=> (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))) | (~v140(constB119)) | (~(v88(constB119, bitIndex2) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26687,plain,
% 14.92/11.01 (~v140(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26686, 26685, 26683])).
% 14.92/11.01 tff(26688,plain,
% 14.92/11.01 ((~(v139(constB119) | v140(constB119))) | v139(constB119) | v140(constB119)),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26689,plain,
% 14.92/11.01 (~(v139(constB119) | v140(constB119))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26688, 26687, 26676])).
% 14.92/11.01 tff(26690,plain,
% 14.92/11.01 ((~(v170(constB119) <=> (v139(constB119) | v140(constB119)))) | (~v170(constB119)) | (v139(constB119) | v140(constB119))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26691,plain,
% 14.92/11.01 (~v170(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26690, 26689, 26670])).
% 14.92/11.01 tff(26692,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB119) | v170(constB119) | (~v169(constB119)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB119) | v170(constB119) | (~v169(constB119)))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26693,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB119) | v170(constB119) | (~v169(constB119)))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26694,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB119) | v170(constB119) | (~v169(constB119))),
% 14.92/11.01 inference(modus_ponens,[status(thm)],[26693, 26692])).
% 14.92/11.01 tff(26695,plain,
% 14.92/11.01 (v141(constB119) | v170(constB119) | (~v169(constB119))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26694, 2278])).
% 14.92/11.01 tff(26696,plain,
% 14.92/11.01 (~v169(constB119)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26695, 26691, 26668])).
% 14.92/11.01 tff(26697,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB119) <=> (v145(constB119) | v166(constB119)))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26698,plain,
% 14.92/11.01 (v165(constB119) <=> (v145(constB119) | v166(constB119))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26697, 2293])).
% 14.92/11.01 tff(26699,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB119) <=> (v146(constB119) | v147(constB119)))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26700,plain,
% 14.92/11.01 (v145(constB119) <=> (v146(constB119) | v147(constB119))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26699, 2302])).
% 14.92/11.01 tff(26701,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26702,plain,
% 14.92/11.01 ((v147(constB119) <=> (~(v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | (~v88(constB119, bitIndex2))))) <=> (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26703,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~(v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | (~v88(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))))),
% 14.92/11.01 inference(monotonicity,[status(thm)],[26702])).
% 14.92/11.01 tff(26704,plain,
% 14.92/11.01 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~(v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | (~v88(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))))),
% 14.92/11.01 inference(transitivity,[status(thm)],[26703, 26701])).
% 14.92/11.01 tff(26705,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~(v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | (~v88(constB119, bitIndex2)))))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26706,plain,
% 14.92/11.01 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))),
% 14.92/11.01 inference(modus_ponens,[status(thm)],[26705, 26704])).
% 14.92/11.01 tff(26707,plain,
% 14.92/11.01 (v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))))),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26706, 2317])).
% 14.92/11.01 tff(26708,plain,
% 14.92/11.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.01 tff(26709,plain,
% 14.92/11.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)))),
% 14.92/11.01 inference(quant_inst,[status(thm)],[])).
% 14.92/11.01 tff(26710,plain,
% 14.92/11.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0))),
% 14.92/11.01 inference(modus_ponens,[status(thm)],[26709, 26708])).
% 14.92/11.01 tff(26711,plain,
% 14.92/11.01 (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26710, 1275, 576])).
% 14.92/11.01 tff(26712,plain,
% 14.92/11.01 ((~(v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0))) | v88(constB119, bitIndex0) | (~v90(constB119, bitIndex0))),
% 14.92/11.01 inference(tautology,[status(thm)],[])).
% 14.92/11.01 tff(26713,plain,
% 14.92/11.01 (v88(constB119, bitIndex0)),
% 14.92/11.01 inference(unit_resolution,[status(thm)],[26712, 18258, 26711])).
% 14.92/11.01 tff(26714,plain,
% 14.92/11.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)))),
% 14.92/11.01 inference(rewrite,[status(thm)],[])).
% 14.92/11.02 tff(26715,plain,
% 14.92/11.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)))),
% 14.92/11.02 inference(quant_inst,[status(thm)],[])).
% 14.92/11.02 tff(26716,plain,
% 14.92/11.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1))),
% 14.92/11.02 inference(modus_ponens,[status(thm)],[26715, 26714])).
% 14.92/11.02 tff(26717,plain,
% 14.92/11.02 (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26716, 1288, 576])).
% 14.92/11.02 tff(26718,plain,
% 14.92/11.02 ((~(v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1))) | (~v88(constB119, bitIndex1)) | v90(constB119, bitIndex1)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26719,plain,
% 14.92/11.02 (~v88(constB119, bitIndex1)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26718, 18289, 26717])).
% 14.92/11.02 tff(26720,plain,
% 14.92/11.02 ((~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26721,plain,
% 14.92/11.02 (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26720, 26719, 26713, 26664])).
% 14.92/11.02 tff(26722,plain,
% 14.92/11.02 ((~(v147(constB119) <=> (~((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))))) | v147(constB119) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26723,plain,
% 14.92/11.02 (v147(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26722, 26721, 26707])).
% 14.92/11.02 tff(26724,plain,
% 14.92/11.02 ((v146(constB119) | v147(constB119)) | (~v147(constB119))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26725,plain,
% 14.92/11.02 (v146(constB119) | v147(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26724, 26723])).
% 14.92/11.02 tff(26726,plain,
% 14.92/11.02 ((~(v145(constB119) <=> (v146(constB119) | v147(constB119)))) | v145(constB119) | (~(v146(constB119) | v147(constB119)))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26727,plain,
% 14.92/11.02 (v145(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26726, 26725, 26700])).
% 14.92/11.02 tff(26728,plain,
% 14.92/11.02 ((v145(constB119) | v166(constB119)) | (~v145(constB119))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26729,plain,
% 14.92/11.02 (v145(constB119) | v166(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26728, 26727])).
% 14.92/11.02 tff(26730,plain,
% 14.92/11.02 ((~(v165(constB119) <=> (v145(constB119) | v166(constB119)))) | v165(constB119) | (~(v145(constB119) | v166(constB119)))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26731,plain,
% 14.92/11.02 (v165(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26730, 26729, 26698])).
% 14.92/11.02 tff(26732,plain,
% 14.92/11.02 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB119)) | (v162(constB119) <=> v169(constB119)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB119)) | (v162(constB119) <=> v169(constB119)))),
% 14.92/11.02 inference(rewrite,[status(thm)],[])).
% 14.92/11.02 tff(26733,plain,
% 14.92/11.02 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB119)) | (v162(constB119) <=> v169(constB119)))),
% 14.92/11.02 inference(quant_inst,[status(thm)],[])).
% 14.92/11.02 tff(26734,plain,
% 14.92/11.02 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB119)) | (v162(constB119) <=> v169(constB119))),
% 14.92/11.02 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 14.92/11.02 tff(26735,plain,
% 14.92/11.02 ((~v165(constB119)) | (v162(constB119) <=> v169(constB119))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26734, 2426])).
% 14.92/11.02 tff(26736,plain,
% 14.92/11.02 (v162(constB119) <=> v169(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26735, 26731])).
% 14.92/11.02 tff(26737,plain,
% 14.92/11.02 ((~(v162(constB119) <=> v169(constB119))) | (~v162(constB119)) | v169(constB119)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26738,plain,
% 14.92/11.02 (~v162(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26737, 26736, 26696])).
% 14.92/11.02 tff(26739,plain,
% 14.92/11.02 ((~(v160(constB119) <=> v162(constB119))) | (~v160(constB119)) | v162(constB119)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26740,plain,
% 14.92/11.02 ((~(v160(constB119) <=> v162(constB119))) | (~v160(constB119))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26739, 26738])).
% 14.92/11.02 tff(26741,plain,
% 14.92/11.02 (~v160(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26740, 26656])).
% 14.92/11.02 tff(26742,plain,
% 14.92/11.02 (((~v184(constB119)) | (~v160(constB119))) | v160(constB119)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26743,plain,
% 14.92/11.02 ((~v184(constB119)) | (~v160(constB119))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26742, 26741])).
% 14.92/11.02 tff(26744,plain,
% 14.92/11.02 ((~(v187(constB119) <=> (~((~v184(constB119)) | (~v160(constB119)))))) | (~v187(constB119)) | (~((~v184(constB119)) | (~v160(constB119))))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26745,plain,
% 14.92/11.02 (~v187(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26744, 26743, 26654])).
% 14.92/11.02 tff(26746,plain,
% 14.92/11.02 (((~v186(constB119)) | (~v187(constB119))) | v187(constB119)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26747,plain,
% 14.92/11.02 ((~v186(constB119)) | (~v187(constB119))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26746, 26745])).
% 14.92/11.02 tff(26748,plain,
% 14.92/11.02 ((~(v185(constB119) <=> (~((~v186(constB119)) | (~v187(constB119)))))) | (~v185(constB119)) | (~((~v186(constB119)) | (~v187(constB119))))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26749,plain,
% 14.92/11.02 (~v185(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26748, 26747, 26652])).
% 14.92/11.02 tff(26750,plain,
% 14.92/11.02 ((~(v181(constB119) | v185(constB119))) | v181(constB119) | v185(constB119)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26751,plain,
% 14.92/11.02 (~(v181(constB119) | v185(constB119))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26750, 26749, 26650])).
% 14.92/11.02 tff(26752,plain,
% 14.92/11.02 ((~(v178(constB119) <=> (v181(constB119) | v185(constB119)))) | (~v178(constB119)) | (v181(constB119) | v185(constB119))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26753,plain,
% 14.92/11.02 (~v178(constB119)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26752, 26751, 26577])).
% 14.92/11.02 tff(26754,plain,
% 14.92/11.02 ((~(v180(constB120) <=> v178(constB119))) | (~v180(constB120)) | v178(constB119)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26755,plain,
% 14.92/11.02 (~v180(constB120)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26754, 26753, 26575])).
% 14.92/11.02 tff(26756,plain,
% 14.92/11.02 ((~(v158(constB120) <=> v180(constB120))) | (~v158(constB120)) | v180(constB120)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26757,plain,
% 14.92/11.02 (~v158(constB120)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26756, 26755, 26571])).
% 14.92/11.02 tff(26758,plain,
% 14.92/11.02 (((~v158(constB120)) | (~v182(constB120))) | v158(constB120)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26759,plain,
% 14.92/11.02 ((~v158(constB120)) | (~v182(constB120))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26758, 26757])).
% 14.92/11.02 tff(26760,plain,
% 14.92/11.02 ((~(v181(constB120) <=> (~((~v158(constB120)) | (~v182(constB120)))))) | (~v181(constB120)) | (~((~v158(constB120)) | (~v182(constB120))))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26761,plain,
% 14.92/11.02 (~v181(constB120)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26760, 26759, 26569])).
% 14.92/11.02 tff(26762,plain,
% 14.92/11.02 ((~(v181(constB120) | v185(constB120))) | v181(constB120) | v185(constB120)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26763,plain,
% 14.92/11.02 (~(v181(constB120) | v185(constB120))),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26762, 26761, 26562])).
% 14.92/11.02 tff(26764,plain,
% 14.92/11.02 ((~(v178(constB120) <=> (v181(constB120) | v185(constB120)))) | (~v178(constB120)) | (v181(constB120) | v185(constB120))),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26765,plain,
% 14.92/11.02 (~v178(constB120)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26764, 26763, 26537])).
% 14.92/11.02 tff(26766,plain,
% 14.92/11.02 ((~(v180(constB121) <=> v178(constB120))) | (~v180(constB121)) | v178(constB120)),
% 14.92/11.02 inference(tautology,[status(thm)],[])).
% 14.92/11.02 tff(26767,plain,
% 14.92/11.02 (~v180(constB121)),
% 14.92/11.02 inference(unit_resolution,[status(thm)],[26766, 26765, 26535])).
% 14.96/11.02 tff(26768,plain,
% 14.96/11.02 ((~(v158(constB121) <=> v180(constB121))) | (~v158(constB121)) | v180(constB121)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26769,plain,
% 14.96/11.02 (~v158(constB121)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26768, 26767, 26531])).
% 14.96/11.02 tff(26770,plain,
% 14.96/11.02 (((~v158(constB121)) | (~v199(constB121))) | v158(constB121)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26771,plain,
% 14.96/11.02 ((~v158(constB121)) | (~v199(constB121))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26770, 26769])).
% 14.96/11.02 tff(26772,plain,
% 14.96/11.02 ((~(v198(constB121) <=> (~((~v158(constB121)) | (~v199(constB121)))))) | (~v198(constB121)) | (~((~v158(constB121)) | (~v199(constB121))))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26773,plain,
% 14.96/11.02 (~v198(constB121)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26772, 26771, 26529])).
% 14.96/11.02 tff(26774,plain,
% 14.96/11.02 ((~(v197(constB121) | v198(constB121))) | v197(constB121) | v198(constB121)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26775,plain,
% 14.96/11.02 (~(v197(constB121) | v198(constB121))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26774, 26773, 26527])).
% 14.96/11.02 tff(26776,plain,
% 14.96/11.02 ((~(v194(constB121) <=> (v197(constB121) | v198(constB121)))) | (~v194(constB121)) | (v197(constB121) | v198(constB121))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26777,plain,
% 14.96/11.02 (~v194(constB121)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26776, 26775, 26459])).
% 14.96/11.02 tff(26778,plain,
% 14.96/11.02 ((~(v196(constB122) <=> v194(constB121))) | (~v196(constB122)) | v194(constB121)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26779,plain,
% 14.96/11.02 (~v196(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26778, 26777, 26457])).
% 14.96/11.02 tff(26780,plain,
% 14.96/11.02 ((~(v191(constB122) <=> v196(constB122))) | (~v191(constB122)) | v196(constB122)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26781,plain,
% 14.96/11.02 (~v191(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26780, 26779, 26453])).
% 14.96/11.02 tff(26782,plain,
% 14.96/11.02 (((~v182(constB122)) | (~v191(constB122))) | v191(constB122)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26783,plain,
% 14.96/11.02 ((~v182(constB122)) | (~v191(constB122))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26782, 26781])).
% 14.96/11.02 tff(26784,plain,
% 14.96/11.02 ((~(v197(constB122) <=> (~((~v182(constB122)) | (~v191(constB122)))))) | (~v197(constB122)) | (~((~v182(constB122)) | (~v191(constB122))))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26785,plain,
% 14.96/11.02 (~v197(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26784, 26783, 26451])).
% 14.96/11.02 tff(26786,plain,
% 14.96/11.02 ((~(v197(constB122) | v198(constB122))) | v197(constB122) | v198(constB122)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26787,plain,
% 14.96/11.02 (~(v197(constB122) | v198(constB122))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26786, 26785, 26449])).
% 14.96/11.02 tff(26788,plain,
% 14.96/11.02 ((~(v194(constB122) <=> (v197(constB122) | v198(constB122)))) | (~v194(constB122)) | (v197(constB122) | v198(constB122))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26789,plain,
% 14.96/11.02 (~v194(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26788, 26787, 26418])).
% 14.96/11.02 tff(26790,plain,
% 14.96/11.02 ((~(v196(constB123) <=> v194(constB122))) | (~v196(constB123)) | v194(constB122)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26791,plain,
% 14.96/11.02 (~v196(constB123)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26790, 26789, 26416])).
% 14.96/11.02 tff(26792,plain,
% 14.96/11.02 ((~(v191(constB123) <=> v196(constB123))) | (~v191(constB123)) | v196(constB123)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26793,plain,
% 14.96/11.02 (~v191(constB123)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26792, 26791, 26412])).
% 14.96/11.02 tff(26794,plain,
% 14.96/11.02 (((~v191(constB123)) | (~v206(constB123))) | v191(constB123)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26795,plain,
% 14.96/11.02 ((~v191(constB123)) | (~v206(constB123))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26794, 26793])).
% 14.96/11.02 tff(26796,plain,
% 14.96/11.02 ((~(v209(constB123) <=> (~((~v191(constB123)) | (~v206(constB123)))))) | (~v209(constB123)) | (~((~v191(constB123)) | (~v206(constB123))))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26797,plain,
% 14.96/11.02 (~v209(constB123)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26796, 26795, 26410])).
% 14.96/11.02 tff(26798,plain,
% 14.96/11.02 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123))))))),
% 14.96/11.02 inference(rewrite,[status(thm)],[])).
% 14.96/11.02 tff(26799,plain,
% 14.96/11.02 ((v205(constB123) <=> (~((~v206(constB123)) | (~v158(constB123))))) <=> (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123)))))),
% 14.96/11.02 inference(rewrite,[status(thm)],[])).
% 14.96/11.02 tff(26800,plain,
% 14.96/11.02 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v206(constB123)) | (~v158(constB123)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123))))))),
% 14.96/11.02 inference(monotonicity,[status(thm)],[26799])).
% 14.96/11.02 tff(26801,plain,
% 14.96/11.02 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v206(constB123)) | (~v158(constB123)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123))))))),
% 14.96/11.02 inference(transitivity,[status(thm)],[26800, 26798])).
% 14.96/11.02 tff(26802,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v206(constB123)) | (~v158(constB123)))))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26803,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123)))))),
% 14.96/11.02 inference(modus_ponens,[status(thm)],[26802, 26801])).
% 14.96/11.02 tff(26804,plain,
% 14.96/11.02 (v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123))))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26803, 2502])).
% 14.96/11.02 tff(26805,plain,
% 14.96/11.02 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB123) <=> v180(constB123))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26806,plain,
% 14.96/11.02 (v158(constB123) <=> v180(constB123)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26805, 358])).
% 14.96/11.02 tff(26807,plain,
% 14.96/11.02 (((~![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)))),
% 14.96/11.02 inference(rewrite,[status(thm)],[])).
% 14.96/11.02 tff(26808,plain,
% 14.96/11.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26809,plain,
% 14.96/11.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122))),
% 14.96/11.02 inference(modus_ponens,[status(thm)],[26808, 26807])).
% 14.96/11.02 tff(26810,plain,
% 14.96/11.02 (v180(constB123) <=> v178(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26809, 17878, 370])).
% 14.96/11.02 tff(26811,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB122) <=> (v181(constB122) | v185(constB122)))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26812,plain,
% 14.96/11.02 (v178(constB122) <=> (v181(constB122) | v185(constB122))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26811, 384])).
% 14.96/11.02 tff(26813,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122)))))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26814,plain,
% 14.96/11.02 (v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122))))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26813, 396])).
% 14.96/11.02 tff(26815,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB122) <=> (~((~v184(constB122)) | (~v160(constB122)))))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26816,plain,
% 14.96/11.02 (v187(constB122) <=> (~((~v184(constB122)) | (~v160(constB122))))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26815, 408])).
% 14.96/11.02 tff(26817,plain,
% 14.96/11.02 (((~v184(constB122)) | (~v160(constB122))) | v184(constB122)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26818,plain,
% 14.96/11.02 ((~v184(constB122)) | (~v160(constB122))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26817, 26436])).
% 14.96/11.02 tff(26819,plain,
% 14.96/11.02 ((~(v187(constB122) <=> (~((~v184(constB122)) | (~v160(constB122)))))) | (~v187(constB122)) | (~((~v184(constB122)) | (~v160(constB122))))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26820,plain,
% 14.96/11.02 ((~(v187(constB122) <=> (~((~v184(constB122)) | (~v160(constB122)))))) | (~v187(constB122))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26819, 26818])).
% 14.96/11.02 tff(26821,plain,
% 14.96/11.02 (~v187(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26820, 26816])).
% 14.96/11.02 tff(26822,plain,
% 14.96/11.02 (((~v186(constB122)) | (~v187(constB122))) | v187(constB122)),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26823,plain,
% 14.96/11.02 ((~v186(constB122)) | (~v187(constB122))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26822, 26821])).
% 14.96/11.02 tff(26824,plain,
% 14.96/11.02 ((~(v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122)))))) | (~v185(constB122)) | (~((~v186(constB122)) | (~v187(constB122))))),
% 14.96/11.02 inference(tautology,[status(thm)],[])).
% 14.96/11.02 tff(26825,plain,
% 14.96/11.02 (~v185(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26824, 26823, 26814])).
% 14.96/11.02 tff(26826,plain,
% 14.96/11.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122))))))),
% 14.96/11.02 inference(rewrite,[status(thm)],[])).
% 14.96/11.02 tff(26827,plain,
% 14.96/11.02 ((v181(constB122) <=> (~((~v182(constB122)) | (~v158(constB122))))) <=> (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122)))))),
% 14.96/11.02 inference(rewrite,[status(thm)],[])).
% 14.96/11.02 tff(26828,plain,
% 14.96/11.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v158(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122))))))),
% 14.96/11.02 inference(monotonicity,[status(thm)],[26827])).
% 14.96/11.02 tff(26829,plain,
% 14.96/11.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v158(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122))))))),
% 14.96/11.02 inference(transitivity,[status(thm)],[26828, 26826])).
% 14.96/11.02 tff(26830,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v158(constB122)))))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26831,plain,
% 14.96/11.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122)))))),
% 14.96/11.02 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 14.96/11.02 tff(26832,plain,
% 14.96/11.02 (v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122))))),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26831, 444])).
% 14.96/11.02 tff(26833,plain,
% 14.96/11.02 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB122) <=> v180(constB122))),
% 14.96/11.02 inference(quant_inst,[status(thm)],[])).
% 14.96/11.02 tff(26834,plain,
% 14.96/11.02 (v158(constB122) <=> v180(constB122)),
% 14.96/11.02 inference(unit_resolution,[status(thm)],[26833, 358])).
% 14.96/11.02 tff(26835,plain,
% 14.96/11.02 (((~![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)))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26836,plain,
% 14.96/11.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26837,plain,
% 14.96/11.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121))),
% 14.96/11.03 inference(modus_ponens,[status(thm)],[26836, 26835])).
% 14.96/11.03 tff(26838,plain,
% 14.96/11.03 (v180(constB122) <=> v178(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26837, 17910, 370])).
% 14.96/11.03 tff(26839,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB121) <=> (v181(constB121) | v185(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26840,plain,
% 14.96/11.03 (v178(constB121) <=> (v181(constB121) | v185(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26839, 384])).
% 14.96/11.03 tff(26841,plain,
% 14.96/11.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121))))))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26842,plain,
% 14.96/11.03 ((v181(constB121) <=> (~((~v182(constB121)) | (~v158(constB121))))) <=> (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121)))))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26843,plain,
% 14.96/11.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v158(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121))))))),
% 14.96/11.03 inference(monotonicity,[status(thm)],[26842])).
% 14.96/11.03 tff(26844,plain,
% 14.96/11.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v158(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121))))))),
% 14.96/11.03 inference(transitivity,[status(thm)],[26843, 26841])).
% 14.96/11.03 tff(26845,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v158(constB121)))))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26846,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121)))))),
% 14.96/11.03 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 14.96/11.03 tff(26847,plain,
% 14.96/11.03 (v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121))))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26846, 444])).
% 14.96/11.03 tff(26848,plain,
% 14.96/11.03 (((~v158(constB121)) | (~v182(constB121))) | v182(constB121)),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26849,plain,
% 14.96/11.03 ((~v158(constB121)) | (~v182(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26848, 26523])).
% 14.96/11.03 tff(26850,plain,
% 14.96/11.03 ((~(v181(constB121) <=> (~((~v158(constB121)) | (~v182(constB121)))))) | (~v181(constB121)) | (~((~v158(constB121)) | (~v182(constB121))))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26851,plain,
% 14.96/11.03 (~v181(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26850, 26849, 26847])).
% 14.96/11.03 tff(26852,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121)))))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26853,plain,
% 14.96/11.03 (v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121))))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26852, 396])).
% 14.96/11.03 tff(26854,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB121) <=> (~((~v184(constB121)) | (~v160(constB121)))))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26855,plain,
% 14.96/11.03 (v187(constB121) <=> (~((~v184(constB121)) | (~v160(constB121))))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26854, 408])).
% 14.96/11.03 tff(26856,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB121) <=> v162(constB121))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26857,plain,
% 14.96/11.03 (v160(constB121) <=> v162(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26856, 549])).
% 14.96/11.03 tff(26858,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)))))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26859,plain,
% 14.96/11.03 (v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0))))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26858, 564])).
% 14.96/11.03 tff(26860,plain,
% 14.96/11.03 (((~![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)))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26861,plain,
% 14.96/11.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26862,plain,
% 14.96/11.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2))),
% 14.96/11.03 inference(modus_ponens,[status(thm)],[26861, 26860])).
% 14.96/11.03 tff(26863,plain,
% 14.96/11.03 (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26862, 579, 576])).
% 14.96/11.03 tff(26864,plain,
% 14.96/11.03 ((~(v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2))) | v88(constB121, bitIndex2) | (~v90(constB121, bitIndex2))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26865,plain,
% 14.96/11.03 (v88(constB121, bitIndex2)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26864, 18373, 26863])).
% 14.96/11.03 tff(26866,plain,
% 14.96/11.03 ((v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0))) | (~v88(constB121, bitIndex2))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26867,plain,
% 14.96/11.03 (v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26866, 26865])).
% 14.96/11.03 tff(26868,plain,
% 14.96/11.03 ((~(v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)))))) | (~v141(constB121)) | (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0))))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26869,plain,
% 14.96/11.03 (~v141(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26868, 26867, 26859])).
% 14.96/11.03 tff(26870,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB121) <=> (v139(constB121) | v140(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26871,plain,
% 14.96/11.03 (v170(constB121) <=> (v139(constB121) | v140(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26870, 2216])).
% 14.96/11.03 tff(26872,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2))))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26873,plain,
% 14.96/11.03 (v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26872, 2231])).
% 14.96/11.03 tff(26874,plain,
% 14.96/11.03 ((v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex2))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26875,plain,
% 14.96/11.03 (v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26874, 26865])).
% 14.96/11.03 tff(26876,plain,
% 14.96/11.03 ((~(v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2))))) | (~v139(constB121)) | (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26877,plain,
% 14.96/11.03 (~v139(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26876, 26875, 26873])).
% 14.96/11.03 tff(26878,plain,
% 14.96/11.03 (((~![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))))))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26879,plain,
% 14.96/11.03 ((v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))) <=> (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26880,plain,
% 14.96/11.03 (((~![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))))))),
% 14.96/11.03 inference(monotonicity,[status(thm)],[26879])).
% 14.96/11.03 tff(26881,plain,
% 14.96/11.03 (((~![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))))))),
% 14.96/11.03 inference(transitivity,[status(thm)],[26880, 26878])).
% 14.96/11.03 tff(26882,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26883,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))),
% 14.96/11.03 inference(modus_ponens,[status(thm)],[26882, 26881])).
% 14.96/11.03 tff(26884,plain,
% 14.96/11.03 (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26883, 2250])).
% 14.96/11.03 tff(26885,plain,
% 14.96/11.03 ((v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))) | (~v88(constB121, bitIndex2))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26886,plain,
% 14.96/11.03 (v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26885, 26865])).
% 14.96/11.03 tff(26887,plain,
% 14.96/11.03 ((~(v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))) | (~v140(constB121)) | (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26888,plain,
% 14.96/11.03 (~v140(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26887, 26886, 26884])).
% 14.96/11.03 tff(26889,plain,
% 14.96/11.03 ((~(v139(constB121) | v140(constB121))) | v139(constB121) | v140(constB121)),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26890,plain,
% 14.96/11.03 (~(v139(constB121) | v140(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26889, 26888, 26877])).
% 14.96/11.03 tff(26891,plain,
% 14.96/11.03 ((~(v170(constB121) <=> (v139(constB121) | v140(constB121)))) | (~v170(constB121)) | (v139(constB121) | v140(constB121))),
% 14.96/11.03 inference(tautology,[status(thm)],[])).
% 14.96/11.03 tff(26892,plain,
% 14.96/11.03 (~v170(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26891, 26890, 26871])).
% 14.96/11.03 tff(26893,plain,
% 14.96/11.03 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB121) | v170(constB121) | (~v169(constB121)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB121) | v170(constB121) | (~v169(constB121)))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26894,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB121) | v170(constB121) | (~v169(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26895,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB121) | v170(constB121) | (~v169(constB121))),
% 14.96/11.03 inference(modus_ponens,[status(thm)],[26894, 26893])).
% 14.96/11.03 tff(26896,plain,
% 14.96/11.03 (v141(constB121) | v170(constB121) | (~v169(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26895, 2278])).
% 14.96/11.03 tff(26897,plain,
% 14.96/11.03 (~v169(constB121)),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26896, 26892, 26869])).
% 14.96/11.03 tff(26898,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB121) <=> (v145(constB121) | v166(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26899,plain,
% 14.96/11.03 (v165(constB121) <=> (v145(constB121) | v166(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26898, 2293])).
% 14.96/11.03 tff(26900,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB121) <=> (v142(constB121) | v167(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26901,plain,
% 14.96/11.03 (v166(constB121) <=> (v142(constB121) | v167(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26900, 2804])).
% 14.96/11.03 tff(26902,plain,
% 14.96/11.03 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB121) <=> (v143(constB121) | v144(constB121)))),
% 14.96/11.03 inference(quant_inst,[status(thm)],[])).
% 14.96/11.03 tff(26903,plain,
% 14.96/11.03 (v142(constB121) <=> (v143(constB121) | v144(constB121))),
% 14.96/11.03 inference(unit_resolution,[status(thm)],[26902, 2813])).
% 14.96/11.03 tff(26904,plain,
% 14.96/11.03 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1))))))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26905,plain,
% 14.96/11.03 ((v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2))))) <=> (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))))),
% 14.96/11.03 inference(rewrite,[status(thm)],[])).
% 14.96/11.03 tff(26906,plain,
% 14.96/11.03 (((~![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, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1))))))),
% 14.96/11.04 inference(monotonicity,[status(thm)],[26905])).
% 14.96/11.04 tff(26907,plain,
% 14.96/11.04 (((~![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, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1))))))),
% 14.96/11.04 inference(transitivity,[status(thm)],[26906, 26904])).
% 14.96/11.04 tff(26908,plain,
% 14.96/11.04 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))),
% 14.96/11.04 inference(quant_inst,[status(thm)],[])).
% 14.96/11.04 tff(26909,plain,
% 14.96/11.04 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))))),
% 14.96/11.04 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 14.96/11.04 tff(26910,plain,
% 14.96/11.04 (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1))))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26909, 2828])).
% 14.96/11.04 tff(26911,plain,
% 14.96/11.04 (((~![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)))),
% 14.96/11.04 inference(rewrite,[status(thm)],[])).
% 14.96/11.04 tff(26912,plain,
% 14.96/11.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0)))),
% 14.96/11.04 inference(quant_inst,[status(thm)],[])).
% 14.96/11.04 tff(26913,plain,
% 14.96/11.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0))),
% 14.96/11.04 inference(modus_ponens,[status(thm)],[26912, 26911])).
% 14.96/11.04 tff(26914,plain,
% 14.96/11.04 (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26913, 1275, 576])).
% 14.96/11.04 tff(26915,plain,
% 14.96/11.04 ((~(v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0))) | (~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26916,plain,
% 14.96/11.04 (~v88(constB121, bitIndex0)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26915, 18404, 26914])).
% 14.96/11.04 tff(26917,plain,
% 14.96/11.04 (((~![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)))),
% 14.96/11.04 inference(rewrite,[status(thm)],[])).
% 14.96/11.04 tff(26918,plain,
% 14.96/11.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1)))),
% 14.96/11.04 inference(quant_inst,[status(thm)],[])).
% 14.96/11.04 tff(26919,plain,
% 14.96/11.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1))),
% 14.96/11.04 inference(modus_ponens,[status(thm)],[26918, 26917])).
% 14.96/11.04 tff(26920,plain,
% 14.96/11.04 (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26919, 1288, 576])).
% 14.96/11.04 tff(26921,plain,
% 14.96/11.04 ((~(v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1))) | v88(constB121, bitIndex1) | (~v90(constB121, bitIndex1))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26922,plain,
% 14.96/11.04 (v88(constB121, bitIndex1)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26921, 18435, 26920])).
% 14.96/11.04 tff(26923,plain,
% 14.96/11.04 ((~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26924,plain,
% 14.96/11.04 (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26923, 26922, 26916, 26865])).
% 14.96/11.04 tff(26925,plain,
% 14.96/11.04 ((~(v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))))) | v144(constB121) | (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26926,plain,
% 14.96/11.04 (v144(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26925, 26924, 26910])).
% 14.96/11.04 tff(26927,plain,
% 14.96/11.04 ((v143(constB121) | v144(constB121)) | (~v144(constB121))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26928,plain,
% 14.96/11.04 (v143(constB121) | v144(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26927, 26926])).
% 14.96/11.04 tff(26929,plain,
% 14.96/11.04 ((~(v142(constB121) <=> (v143(constB121) | v144(constB121)))) | v142(constB121) | (~(v143(constB121) | v144(constB121)))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26930,plain,
% 14.96/11.04 (v142(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26929, 26928, 26903])).
% 14.96/11.04 tff(26931,plain,
% 14.96/11.04 ((v142(constB121) | v167(constB121)) | (~v142(constB121))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26932,plain,
% 14.96/11.04 (v142(constB121) | v167(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26931, 26930])).
% 14.96/11.04 tff(26933,plain,
% 14.96/11.04 ((~(v166(constB121) <=> (v142(constB121) | v167(constB121)))) | v166(constB121) | (~(v142(constB121) | v167(constB121)))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26934,plain,
% 14.96/11.04 (v166(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26933, 26932, 26901])).
% 14.96/11.04 tff(26935,plain,
% 14.96/11.04 ((v145(constB121) | v166(constB121)) | (~v166(constB121))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26936,plain,
% 14.96/11.04 (v145(constB121) | v166(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26935, 26934])).
% 14.96/11.04 tff(26937,plain,
% 14.96/11.04 ((~(v165(constB121) <=> (v145(constB121) | v166(constB121)))) | v165(constB121) | (~(v145(constB121) | v166(constB121)))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26938,plain,
% 14.96/11.04 (v165(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26937, 26936, 26899])).
% 14.96/11.04 tff(26939,plain,
% 14.96/11.04 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB121)) | (v162(constB121) <=> v169(constB121)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB121)) | (v162(constB121) <=> v169(constB121)))),
% 14.96/11.04 inference(rewrite,[status(thm)],[])).
% 14.96/11.04 tff(26940,plain,
% 14.96/11.04 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB121)) | (v162(constB121) <=> v169(constB121)))),
% 14.96/11.04 inference(quant_inst,[status(thm)],[])).
% 14.96/11.04 tff(26941,plain,
% 14.96/11.04 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB121)) | (v162(constB121) <=> v169(constB121))),
% 14.96/11.04 inference(modus_ponens,[status(thm)],[26940, 26939])).
% 14.96/11.04 tff(26942,plain,
% 14.96/11.04 ((~v165(constB121)) | (v162(constB121) <=> v169(constB121))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26941, 2426])).
% 14.96/11.04 tff(26943,plain,
% 14.96/11.04 (v162(constB121) <=> v169(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26942, 26938])).
% 14.96/11.04 tff(26944,plain,
% 14.96/11.04 ((~(v162(constB121) <=> v169(constB121))) | (~v162(constB121)) | v169(constB121)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26945,plain,
% 14.96/11.04 (~v162(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26944, 26943, 26897])).
% 14.96/11.04 tff(26946,plain,
% 14.96/11.04 ((~(v160(constB121) <=> v162(constB121))) | (~v160(constB121)) | v162(constB121)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26947,plain,
% 14.96/11.04 ((~(v160(constB121) <=> v162(constB121))) | (~v160(constB121))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26946, 26945])).
% 14.96/11.04 tff(26948,plain,
% 14.96/11.04 (~v160(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26947, 26857])).
% 14.96/11.04 tff(26949,plain,
% 14.96/11.04 (((~v184(constB121)) | (~v160(constB121))) | v160(constB121)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26950,plain,
% 14.96/11.04 ((~v184(constB121)) | (~v160(constB121))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26949, 26948])).
% 14.96/11.04 tff(26951,plain,
% 14.96/11.04 ((~(v187(constB121) <=> (~((~v184(constB121)) | (~v160(constB121)))))) | (~v187(constB121)) | (~((~v184(constB121)) | (~v160(constB121))))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26952,plain,
% 14.96/11.04 (~v187(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26951, 26950, 26855])).
% 14.96/11.04 tff(26953,plain,
% 14.96/11.04 (((~v186(constB121)) | (~v187(constB121))) | v187(constB121)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26954,plain,
% 14.96/11.04 ((~v186(constB121)) | (~v187(constB121))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26953, 26952])).
% 14.96/11.04 tff(26955,plain,
% 14.96/11.04 ((~(v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121)))))) | (~v185(constB121)) | (~((~v186(constB121)) | (~v187(constB121))))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26956,plain,
% 14.96/11.04 (~v185(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26955, 26954, 26853])).
% 14.96/11.04 tff(26957,plain,
% 14.96/11.04 ((~(v181(constB121) | v185(constB121))) | v181(constB121) | v185(constB121)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26958,plain,
% 14.96/11.04 (~(v181(constB121) | v185(constB121))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26957, 26956, 26851])).
% 14.96/11.04 tff(26959,plain,
% 14.96/11.04 ((~(v178(constB121) <=> (v181(constB121) | v185(constB121)))) | (~v178(constB121)) | (v181(constB121) | v185(constB121))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26960,plain,
% 14.96/11.04 (~v178(constB121)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26959, 26958, 26840])).
% 14.96/11.04 tff(26961,plain,
% 14.96/11.04 ((~(v180(constB122) <=> v178(constB121))) | (~v180(constB122)) | v178(constB121)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26962,plain,
% 14.96/11.04 (~v180(constB122)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26961, 26960, 26838])).
% 14.96/11.04 tff(26963,plain,
% 14.96/11.04 ((~(v158(constB122) <=> v180(constB122))) | (~v158(constB122)) | v180(constB122)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26964,plain,
% 14.96/11.04 (~v158(constB122)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26963, 26962, 26834])).
% 14.96/11.04 tff(26965,plain,
% 14.96/11.04 (((~v158(constB122)) | (~v182(constB122))) | v158(constB122)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26966,plain,
% 14.96/11.04 ((~v158(constB122)) | (~v182(constB122))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26965, 26964])).
% 14.96/11.04 tff(26967,plain,
% 14.96/11.04 ((~(v181(constB122) <=> (~((~v158(constB122)) | (~v182(constB122)))))) | (~v181(constB122)) | (~((~v158(constB122)) | (~v182(constB122))))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26968,plain,
% 14.96/11.04 (~v181(constB122)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26967, 26966, 26832])).
% 14.96/11.04 tff(26969,plain,
% 14.96/11.04 ((~(v181(constB122) | v185(constB122))) | v181(constB122) | v185(constB122)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26970,plain,
% 14.96/11.04 (~(v181(constB122) | v185(constB122))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26969, 26968, 26825])).
% 14.96/11.04 tff(26971,plain,
% 14.96/11.04 ((~(v178(constB122) <=> (v181(constB122) | v185(constB122)))) | (~v178(constB122)) | (v181(constB122) | v185(constB122))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26972,plain,
% 14.96/11.04 (~v178(constB122)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26971, 26970, 26812])).
% 14.96/11.04 tff(26973,plain,
% 14.96/11.04 ((~(v180(constB123) <=> v178(constB122))) | (~v180(constB123)) | v178(constB122)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26974,plain,
% 14.96/11.04 (~v180(constB123)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26973, 26972, 26810])).
% 14.96/11.04 tff(26975,plain,
% 14.96/11.04 ((~(v158(constB123) <=> v180(constB123))) | (~v158(constB123)) | v180(constB123)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26976,plain,
% 14.96/11.04 (~v158(constB123)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26975, 26974, 26806])).
% 14.96/11.04 tff(26977,plain,
% 14.96/11.04 (((~v158(constB123)) | (~v206(constB123))) | v158(constB123)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26978,plain,
% 14.96/11.04 ((~v158(constB123)) | (~v206(constB123))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26977, 26976])).
% 14.96/11.04 tff(26979,plain,
% 14.96/11.04 ((~(v205(constB123) <=> (~((~v158(constB123)) | (~v206(constB123)))))) | (~v205(constB123)) | (~((~v158(constB123)) | (~v206(constB123))))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26980,plain,
% 14.96/11.04 (~v205(constB123)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26979, 26978, 26804])).
% 14.96/11.04 tff(26981,plain,
% 14.96/11.04 ((~(v205(constB123) | v209(constB123))) | v205(constB123) | v209(constB123)),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26982,plain,
% 14.96/11.04 (~(v205(constB123) | v209(constB123))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26981, 26980, 26797])).
% 14.96/11.04 tff(26983,plain,
% 14.96/11.04 ((~(v204(constB123) <=> (v205(constB123) | v209(constB123)))) | (~v204(constB123)) | (v205(constB123) | v209(constB123))),
% 14.96/11.04 inference(tautology,[status(thm)],[])).
% 14.96/11.04 tff(26984,plain,
% 14.96/11.04 (~v204(constB123)),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26983, 26982, 26403])).
% 14.96/11.04 tff(26985,plain,
% 14.96/11.04 ($false),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26984, 26401])).
% 14.96/11.04 tff(26986,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.96/11.04 tff(26987,assumption,(constB129 = VarCurr!0), introduced(assumption)).
% 14.96/11.04 tff(26988,plain,
% 14.96/11.04 (v204(constB129) <=> v204(VarCurr!0)),
% 14.96/11.04 inference(monotonicity,[status(thm)],[26987])).
% 14.96/11.04 tff(26989,plain,
% 14.96/11.04 (v204(VarCurr!0) <=> v204(constB129)),
% 14.96/11.04 inference(symmetry,[status(thm)],[26988])).
% 14.96/11.04 tff(26990,plain,
% 14.96/11.04 (v204(constB129)),
% 14.96/11.04 inference(modus_ponens,[status(thm)],[27, 26989])).
% 14.96/11.04 tff(26991,plain,
% 14.96/11.04 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB129) <=> (v205(constB129) | v209(constB129)))),
% 14.96/11.04 inference(quant_inst,[status(thm)],[])).
% 14.96/11.04 tff(26992,plain,
% 14.96/11.04 (v204(constB129) <=> (v205(constB129) | v209(constB129))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26991, 35])).
% 14.96/11.04 tff(26993,plain,
% 14.96/11.04 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129))))))),
% 14.96/11.04 inference(rewrite,[status(thm)],[])).
% 14.96/11.04 tff(26994,plain,
% 14.96/11.04 ((v209(constB129) <=> (~((~v206(constB129)) | (~v191(constB129))))) <=> (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129)))))),
% 14.96/11.04 inference(rewrite,[status(thm)],[])).
% 14.96/11.04 tff(26995,plain,
% 14.96/11.04 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v206(constB129)) | (~v191(constB129)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129))))))),
% 14.96/11.04 inference(monotonicity,[status(thm)],[26994])).
% 14.96/11.04 tff(26996,plain,
% 14.96/11.04 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v206(constB129)) | (~v191(constB129)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129))))))),
% 14.96/11.04 inference(transitivity,[status(thm)],[26995, 26993])).
% 14.96/11.04 tff(26997,plain,
% 14.96/11.04 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v206(constB129)) | (~v191(constB129)))))),
% 14.96/11.04 inference(quant_inst,[status(thm)],[])).
% 14.96/11.04 tff(26998,plain,
% 14.96/11.04 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129)))))),
% 14.96/11.04 inference(modus_ponens,[status(thm)],[26997, 26996])).
% 14.96/11.04 tff(26999,plain,
% 14.96/11.04 (v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129))))),
% 14.96/11.04 inference(unit_resolution,[status(thm)],[26998, 47])).
% 14.96/11.04 tff(27000,plain,
% 14.96/11.04 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB129) <=> v196(constB129))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27001,plain,
% 14.96/11.05 (v191(constB129) <=> v196(constB129)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27000, 64])).
% 14.96/11.05 tff(27002,plain,
% 14.96/11.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB128, constB129)) | (v196(constB129) <=> v194(constB128)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB128, constB129)) | (v196(constB129) <=> v194(constB128)))),
% 14.96/11.05 inference(rewrite,[status(thm)],[])).
% 14.96/11.05 tff(27003,plain,
% 14.96/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB128, constB129)) | (v196(constB129) <=> v194(constB128)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27004,plain,
% 14.96/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB128, constB129)) | (v196(constB129) <=> v194(constB128))),
% 14.96/11.05 inference(modus_ponens,[status(thm)],[27003, 27002])).
% 14.96/11.05 tff(27005,plain,
% 14.96/11.05 (v196(constB129) <=> v194(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27004, 20884, 76])).
% 14.96/11.05 tff(27006,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB128) <=> (v197(constB128) | v198(constB128)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27007,plain,
% 14.96/11.05 (v194(constB128) <=> (v197(constB128) | v198(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27006, 90])).
% 14.96/11.05 tff(27008,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB128) <=> (~((~v158(constB128)) | (~v199(constB128)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27009,plain,
% 14.96/11.05 (v198(constB128) <=> (~((~v158(constB128)) | (~v199(constB128))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27008, 102])).
% 14.96/11.05 tff(27010,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB128) <=> (~((~v186(constB128)) | (~v200(constB128)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27011,plain,
% 14.96/11.05 (v199(constB128) <=> (~((~v186(constB128)) | (~v200(constB128))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27010, 114])).
% 14.96/11.05 tff(27012,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB128) <=> (~((~v184(constB128)) | (~v84(constB128)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27013,plain,
% 14.96/11.05 (v200(constB128) <=> (~((~v184(constB128)) | (~v84(constB128))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27012, 126])).
% 14.96/11.05 tff(27014,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27015,plain,
% 14.96/11.05 (v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27014, 138])).
% 14.96/11.05 tff(27016,plain,
% 14.96/11.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB128)) <=> v1(constB128))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27017,plain,
% 14.96/11.05 ((~v39(constB128)) <=> v1(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27016, 147])).
% 14.96/11.05 tff(27018,plain,
% 14.96/11.05 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128)) | (~v1(constB128))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27019,plain,
% 14.96/11.05 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27018, 20946])).
% 14.96/11.05 tff(27020,plain,
% 14.96/11.05 (~v39(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27019, 27017])).
% 14.96/11.05 tff(27021,plain,
% 14.96/11.05 (((~v39(constB128)) | (~v9(constB128))) | v39(constB128)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27022,plain,
% 14.96/11.05 ((~v39(constB128)) | (~v9(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27021, 27020])).
% 14.96/11.05 tff(27023,plain,
% 14.96/11.05 ((~(v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v184(constB128)) | (~((~v39(constB128)) | (~v9(constB128))))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27024,plain,
% 14.96/11.05 ((~(v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v184(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27023, 27022])).
% 14.96/11.05 tff(27025,plain,
% 14.96/11.05 (~v184(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27024, 27015])).
% 14.96/11.05 tff(27026,plain,
% 14.96/11.05 (((~v184(constB128)) | (~v84(constB128))) | v184(constB128)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27027,plain,
% 14.96/11.05 ((~v184(constB128)) | (~v84(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27026, 27025])).
% 14.96/11.05 tff(27028,plain,
% 14.96/11.05 ((~(v200(constB128) <=> (~((~v184(constB128)) | (~v84(constB128)))))) | (~v200(constB128)) | (~((~v184(constB128)) | (~v84(constB128))))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27029,plain,
% 14.96/11.05 ((~(v200(constB128) <=> (~((~v184(constB128)) | (~v84(constB128)))))) | (~v200(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27028, 27027])).
% 14.96/11.05 tff(27030,plain,
% 14.96/11.05 (~v200(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27029, 27013])).
% 14.96/11.05 tff(27031,plain,
% 14.96/11.05 (((~v186(constB128)) | (~v200(constB128))) | v200(constB128)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27032,plain,
% 14.96/11.05 ((~v186(constB128)) | (~v200(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27031, 27030])).
% 14.96/11.05 tff(27033,plain,
% 14.96/11.05 ((~(v199(constB128) <=> (~((~v186(constB128)) | (~v200(constB128)))))) | (~v199(constB128)) | (~((~v186(constB128)) | (~v200(constB128))))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27034,plain,
% 14.96/11.05 (~v199(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27033, 27032, 27011])).
% 14.96/11.05 tff(27035,plain,
% 14.96/11.05 (((~v158(constB128)) | (~v199(constB128))) | v199(constB128)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27036,plain,
% 14.96/11.05 ((~v158(constB128)) | (~v199(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27035, 27034])).
% 14.96/11.05 tff(27037,plain,
% 14.96/11.05 ((~(v198(constB128) <=> (~((~v158(constB128)) | (~v199(constB128)))))) | (~v198(constB128)) | (~((~v158(constB128)) | (~v199(constB128))))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27038,plain,
% 14.96/11.05 (~v198(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27037, 27036, 27009])).
% 14.96/11.05 tff(27039,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB128) <=> (~((~v182(constB128)) | (~v191(constB128)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27040,plain,
% 14.96/11.05 (v197(constB128) <=> (~((~v182(constB128)) | (~v191(constB128))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27039, 183])).
% 14.96/11.05 tff(27041,plain,
% 14.96/11.05 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB128) <=> v196(constB128))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27042,plain,
% 14.96/11.05 (v191(constB128) <=> v196(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27041, 64])).
% 14.96/11.05 tff(27043,plain,
% 14.96/11.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB127, constB128)) | (v196(constB128) <=> v194(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB127, constB128)) | (v196(constB128) <=> v194(constB127)))),
% 14.96/11.05 inference(rewrite,[status(thm)],[])).
% 14.96/11.05 tff(27044,plain,
% 14.96/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB127, constB128)) | (v196(constB128) <=> v194(constB127)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27045,plain,
% 14.96/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB127, constB128)) | (v196(constB128) <=> v194(constB127))),
% 14.96/11.05 inference(modus_ponens,[status(thm)],[27044, 27043])).
% 14.96/11.05 tff(27046,plain,
% 14.96/11.05 (v196(constB128) <=> v194(constB127)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27045, 20916, 76])).
% 14.96/11.05 tff(27047,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB127) <=> (v197(constB127) | v198(constB127)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27048,plain,
% 14.96/11.05 (v194(constB127) <=> (v197(constB127) | v198(constB127))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27047, 90])).
% 14.96/11.05 tff(27049,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB127) <=> (~((~v182(constB127)) | (~v191(constB127)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27050,plain,
% 14.96/11.05 (v197(constB127) <=> (~((~v182(constB127)) | (~v191(constB127))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27049, 183])).
% 14.96/11.05 tff(27051,plain,
% 14.96/11.05 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB127)) <=> v183(constB127))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27052,plain,
% 14.96/11.05 ((~v182(constB127)) <=> v183(constB127)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27051, 205])).
% 14.96/11.05 tff(27053,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB127) <=> (v184(constB127) | v26(constB127)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27054,plain,
% 14.96/11.05 (v183(constB127) <=> (v184(constB127) | v26(constB127))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27053, 214])).
% 14.96/11.05 tff(27055,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB127) <=> (~((~v39(constB127)) | (~v9(constB127)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27056,plain,
% 14.96/11.05 (v184(constB127) <=> (~((~v39(constB127)) | (~v9(constB127))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27055, 138])).
% 14.96/11.05 tff(27057,plain,
% 14.96/11.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))),
% 14.96/11.05 inference(rewrite,[status(thm)],[])).
% 14.96/11.05 tff(27058,plain,
% 14.96/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27059,plain,
% 14.96/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127))),
% 14.96/11.05 inference(modus_ponens,[status(thm)],[27058, 27057])).
% 14.96/11.05 tff(27060,plain,
% 14.96/11.05 (v13(constB128) <=> v9(constB127)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27059, 20916, 228])).
% 14.96/11.05 tff(27061,plain,
% 14.96/11.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB128) <=> v13(constB128))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27062,plain,
% 14.96/11.05 (v6(constB128) <=> v13(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27061, 242])).
% 14.96/11.05 tff(27063,plain,
% 14.96/11.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB128)) <=> v6(constB128))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27064,plain,
% 14.96/11.05 ((~v21(constB128)) <=> v6(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27063, 251])).
% 14.96/11.05 tff(27065,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB128) <=> (v20(constB128) | v21(constB128)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27066,plain,
% 14.96/11.05 (v19(constB128) <=> (v20(constB128) | v21(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27065, 260])).
% 14.96/11.05 tff(27067,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128)))))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27068,plain,
% 14.96/11.05 (v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128))))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27067, 272])).
% 14.96/11.05 tff(27069,plain,
% 14.96/11.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB128)) <=> v18(constB128))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27070,plain,
% 14.96/11.05 ((~v4(constB128)) <=> v18(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27069, 281])).
% 14.96/11.05 tff(27071,plain,
% 14.96/11.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB128)),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27072,plain,
% 14.96/11.05 (v4(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27071, 290])).
% 14.96/11.05 tff(27073,plain,
% 14.96/11.05 ((~((~v4(constB128)) <=> v18(constB128))) | (~v4(constB128)) | (~v18(constB128))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27074,plain,
% 14.96/11.05 (~v18(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27073, 27072, 27070])).
% 14.96/11.05 tff(27075,plain,
% 14.96/11.05 ((~(v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128)))))) | v18(constB128) | ((~v19(constB128)) | (~v22(constB128)))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27076,plain,
% 14.96/11.05 ((~v19(constB128)) | (~v22(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27075, 27074, 27068])).
% 14.96/11.05 tff(27077,plain,
% 14.96/11.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB128) <=> (v1(constB128) | v6(constB128)))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27078,plain,
% 14.96/11.05 (v22(constB128) <=> (v1(constB128) | v6(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27077, 303])).
% 14.96/11.05 tff(27079,plain,
% 14.96/11.05 ((v1(constB128) | v6(constB128)) | (~v1(constB128))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27080,plain,
% 14.96/11.05 (v1(constB128) | v6(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27079, 20946])).
% 14.96/11.05 tff(27081,plain,
% 14.96/11.05 ((~(v22(constB128) <=> (v1(constB128) | v6(constB128)))) | v22(constB128) | (~(v1(constB128) | v6(constB128)))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27082,plain,
% 14.96/11.05 ((~(v22(constB128) <=> (v1(constB128) | v6(constB128)))) | v22(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27081, 27080])).
% 14.96/11.05 tff(27083,plain,
% 14.96/11.05 (v22(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27082, 27078])).
% 14.96/11.05 tff(27084,plain,
% 14.96/11.05 ((~((~v19(constB128)) | (~v22(constB128)))) | (~v19(constB128)) | (~v22(constB128))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27085,plain,
% 14.96/11.05 ((~((~v19(constB128)) | (~v22(constB128)))) | (~v19(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27084, 27083])).
% 14.96/11.05 tff(27086,plain,
% 14.96/11.05 (~v19(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27085, 27076])).
% 14.96/11.05 tff(27087,plain,
% 14.96/11.05 ((~(v19(constB128) <=> (v20(constB128) | v21(constB128)))) | v19(constB128) | (~(v20(constB128) | v21(constB128)))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27088,plain,
% 14.96/11.05 (~(v20(constB128) | v21(constB128))),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27087, 27086, 27066])).
% 14.96/11.05 tff(27089,plain,
% 14.96/11.05 ((v20(constB128) | v21(constB128)) | (~v21(constB128))),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27090,plain,
% 14.96/11.05 (~v21(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27089, 27088])).
% 14.96/11.05 tff(27091,plain,
% 14.96/11.05 ((~((~v21(constB128)) <=> v6(constB128))) | v21(constB128) | v6(constB128)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27092,plain,
% 14.96/11.05 (v6(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27091, 27090, 27064])).
% 14.96/11.05 tff(27093,plain,
% 14.96/11.05 ((~(v6(constB128) <=> v13(constB128))) | (~v6(constB128)) | v13(constB128)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27094,plain,
% 14.96/11.05 (v13(constB128)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27093, 27092, 27062])).
% 14.96/11.05 tff(27095,plain,
% 14.96/11.05 ((~(v13(constB128) <=> v9(constB127))) | (~v13(constB128)) | v9(constB127)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27096,plain,
% 14.96/11.05 (v9(constB127)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27095, 27094, 27060])).
% 14.96/11.05 tff(27097,plain,
% 14.96/11.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB127)) <=> v1(constB127))),
% 14.96/11.05 inference(quant_inst,[status(thm)],[])).
% 14.96/11.05 tff(27098,plain,
% 14.96/11.05 ((~v39(constB127)) <=> v1(constB127)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27097, 147])).
% 14.96/11.05 tff(27099,plain,
% 14.96/11.05 ((~((~v39(constB127)) <=> v1(constB127))) | v39(constB127) | v1(constB127)),
% 14.96/11.05 inference(tautology,[status(thm)],[])).
% 14.96/11.05 tff(27100,plain,
% 14.96/11.05 ((~((~v39(constB127)) <=> v1(constB127))) | v39(constB127)),
% 14.96/11.05 inference(unit_resolution,[status(thm)],[27099, 20938])).
% 15.00/11.05 tff(27101,plain,
% 15.00/11.05 (v39(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27100, 27098])).
% 15.00/11.05 tff(27102,plain,
% 15.00/11.05 ((~((~v39(constB127)) | (~v9(constB127)))) | (~v39(constB127)) | (~v9(constB127))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27103,plain,
% 15.00/11.05 ((~((~v39(constB127)) | (~v9(constB127)))) | (~v9(constB127))),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27102, 27101])).
% 15.00/11.05 tff(27104,plain,
% 15.00/11.05 (~((~v39(constB127)) | (~v9(constB127)))),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27103, 27096])).
% 15.00/11.05 tff(27105,plain,
% 15.00/11.05 ((~(v184(constB127) <=> (~((~v39(constB127)) | (~v9(constB127)))))) | v184(constB127) | ((~v39(constB127)) | (~v9(constB127)))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27106,plain,
% 15.00/11.05 (v184(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27105, 27104, 27056])).
% 15.00/11.05 tff(27107,plain,
% 15.00/11.05 ((v184(constB127) | v26(constB127)) | (~v184(constB127))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27108,plain,
% 15.00/11.05 (v184(constB127) | v26(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27107, 27106])).
% 15.00/11.05 tff(27109,plain,
% 15.00/11.05 ((~(v183(constB127) <=> (v184(constB127) | v26(constB127)))) | v183(constB127) | (~(v184(constB127) | v26(constB127)))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27110,plain,
% 15.00/11.05 (v183(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27109, 27108, 27054])).
% 15.00/11.05 tff(27111,plain,
% 15.00/11.05 ((~((~v182(constB127)) <=> v183(constB127))) | (~v182(constB127)) | (~v183(constB127))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27112,plain,
% 15.00/11.05 (~v182(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27111, 27110, 27052])).
% 15.00/11.05 tff(27113,plain,
% 15.00/11.05 (((~v182(constB127)) | (~v191(constB127))) | v182(constB127)),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27114,plain,
% 15.00/11.05 ((~v182(constB127)) | (~v191(constB127))),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27113, 27112])).
% 15.00/11.05 tff(27115,plain,
% 15.00/11.05 ((~(v197(constB127) <=> (~((~v182(constB127)) | (~v191(constB127)))))) | (~v197(constB127)) | (~((~v182(constB127)) | (~v191(constB127))))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27116,plain,
% 15.00/11.05 (~v197(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27115, 27114, 27050])).
% 15.00/11.05 tff(27117,plain,
% 15.00/11.05 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB127) <=> (~((~v158(constB127)) | (~v199(constB127)))))),
% 15.00/11.05 inference(quant_inst,[status(thm)],[])).
% 15.00/11.05 tff(27118,plain,
% 15.00/11.05 (v198(constB127) <=> (~((~v158(constB127)) | (~v199(constB127))))),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27117, 102])).
% 15.00/11.05 tff(27119,plain,
% 15.00/11.05 (((~v158(constB127)) | (~v199(constB127))) | v158(constB127)),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27120,plain,
% 15.00/11.05 ((~v158(constB127)) | (~v199(constB127))),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27119, 19204])).
% 15.00/11.05 tff(27121,plain,
% 15.00/11.05 ((~(v198(constB127) <=> (~((~v158(constB127)) | (~v199(constB127)))))) | (~v198(constB127)) | (~((~v158(constB127)) | (~v199(constB127))))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27122,plain,
% 15.00/11.05 (~v198(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27121, 27120, 27118])).
% 15.00/11.05 tff(27123,plain,
% 15.00/11.05 ((~(v197(constB127) | v198(constB127))) | v197(constB127) | v198(constB127)),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27124,plain,
% 15.00/11.05 (~(v197(constB127) | v198(constB127))),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27123, 27122, 27116])).
% 15.00/11.05 tff(27125,plain,
% 15.00/11.05 ((~(v194(constB127) <=> (v197(constB127) | v198(constB127)))) | (~v194(constB127)) | (v197(constB127) | v198(constB127))),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27126,plain,
% 15.00/11.05 (~v194(constB127)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27125, 27124, 27048])).
% 15.00/11.05 tff(27127,plain,
% 15.00/11.05 ((~(v196(constB128) <=> v194(constB127))) | (~v196(constB128)) | v194(constB127)),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.05 tff(27128,plain,
% 15.00/11.05 (~v196(constB128)),
% 15.00/11.05 inference(unit_resolution,[status(thm)],[27127, 27126, 27046])).
% 15.00/11.05 tff(27129,plain,
% 15.00/11.05 ((~(v191(constB128) <=> v196(constB128))) | (~v191(constB128)) | v196(constB128)),
% 15.00/11.05 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27130,plain,
% 15.00/11.06 (~v191(constB128)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27129, 27128, 27042])).
% 15.00/11.06 tff(27131,plain,
% 15.00/11.06 (((~v182(constB128)) | (~v191(constB128))) | v191(constB128)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27132,plain,
% 15.00/11.06 ((~v182(constB128)) | (~v191(constB128))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27131, 27130])).
% 15.00/11.06 tff(27133,plain,
% 15.00/11.06 ((~(v197(constB128) <=> (~((~v182(constB128)) | (~v191(constB128)))))) | (~v197(constB128)) | (~((~v182(constB128)) | (~v191(constB128))))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27134,plain,
% 15.00/11.06 (~v197(constB128)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27133, 27132, 27040])).
% 15.00/11.06 tff(27135,plain,
% 15.00/11.06 ((~(v197(constB128) | v198(constB128))) | v197(constB128) | v198(constB128)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27136,plain,
% 15.00/11.06 (~(v197(constB128) | v198(constB128))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27135, 27134, 27038])).
% 15.00/11.06 tff(27137,plain,
% 15.00/11.06 ((~(v194(constB128) <=> (v197(constB128) | v198(constB128)))) | (~v194(constB128)) | (v197(constB128) | v198(constB128))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27138,plain,
% 15.00/11.06 (~v194(constB128)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27137, 27136, 27007])).
% 15.00/11.06 tff(27139,plain,
% 15.00/11.06 ((~(v196(constB129) <=> v194(constB128))) | (~v196(constB129)) | v194(constB128)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27140,plain,
% 15.00/11.06 (~v196(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27139, 27138, 27005])).
% 15.00/11.06 tff(27141,plain,
% 15.00/11.06 ((~(v191(constB129) <=> v196(constB129))) | (~v191(constB129)) | v196(constB129)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27142,plain,
% 15.00/11.06 (~v191(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27141, 27140, 27001])).
% 15.00/11.06 tff(27143,plain,
% 15.00/11.06 (((~v191(constB129)) | (~v206(constB129))) | v191(constB129)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27144,plain,
% 15.00/11.06 ((~v191(constB129)) | (~v206(constB129))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27143, 27142])).
% 15.00/11.06 tff(27145,plain,
% 15.00/11.06 ((~(v209(constB129) <=> (~((~v191(constB129)) | (~v206(constB129)))))) | (~v209(constB129)) | (~((~v191(constB129)) | (~v206(constB129))))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27146,plain,
% 15.00/11.06 (~v209(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27145, 27144, 26999])).
% 15.00/11.06 tff(27147,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129))))))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27148,plain,
% 15.00/11.06 ((v205(constB129) <=> (~((~v206(constB129)) | (~v158(constB129))))) <=> (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129)))))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27149,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v206(constB129)) | (~v158(constB129)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129))))))),
% 15.00/11.06 inference(monotonicity,[status(thm)],[27148])).
% 15.00/11.06 tff(27150,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v206(constB129)) | (~v158(constB129)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129))))))),
% 15.00/11.06 inference(transitivity,[status(thm)],[27149, 27147])).
% 15.00/11.06 tff(27151,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v206(constB129)) | (~v158(constB129)))))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27152,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129)))))),
% 15.00/11.06 inference(modus_ponens,[status(thm)],[27151, 27150])).
% 15.00/11.06 tff(27153,plain,
% 15.00/11.06 (v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129))))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27152, 2502])).
% 15.00/11.06 tff(27154,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB129) <=> (~((~v186(constB129)) | (~v207(constB129)))))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27155,plain,
% 15.00/11.06 (v206(constB129) <=> (~((~v186(constB129)) | (~v207(constB129))))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27154, 16227])).
% 15.00/11.06 tff(27156,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129))))))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27157,plain,
% 15.00/11.06 ((v207(constB129) <=> (~((~v208(constB129)) | (~v184(constB129))))) <=> (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129)))))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27158,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v208(constB129)) | (~v184(constB129)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129))))))),
% 15.00/11.06 inference(monotonicity,[status(thm)],[27157])).
% 15.00/11.06 tff(27159,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v208(constB129)) | (~v184(constB129)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129))))))),
% 15.00/11.06 inference(transitivity,[status(thm)],[27158, 27156])).
% 15.00/11.06 tff(27160,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v208(constB129)) | (~v184(constB129)))))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27161,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129)))))),
% 15.00/11.06 inference(modus_ponens,[status(thm)],[27160, 27159])).
% 15.00/11.06 tff(27162,plain,
% 15.00/11.06 (v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129))))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27161, 16239])).
% 15.00/11.06 tff(27163,plain,
% 15.00/11.06 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(constB129)) <=> v84(constB129))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27164,plain,
% 15.00/11.06 ((~v208(constB129)) <=> v84(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27163, 16253])).
% 15.00/11.06 tff(27165,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB129) <=> v86(constB129))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27166,plain,
% 15.00/11.06 (v84(constB129) <=> v86(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27165, 16262])).
% 15.00/11.06 tff(27167,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB129) <=> (v136(constB129) | v145(constB129)))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27168,plain,
% 15.00/11.06 (v135(constB129) <=> (v136(constB129) | v145(constB129))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27167, 16271])).
% 15.00/11.06 tff(27169,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB129) <=> (v146(constB129) | v147(constB129)))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27170,plain,
% 15.00/11.06 (v145(constB129) <=> (v146(constB129) | v147(constB129))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27169, 2302])).
% 15.00/11.06 tff(27171,plain,
% 15.00/11.06 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1)))))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27172,plain,
% 15.00/11.06 ((v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2))))) <=> (v146(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27173,plain,
% 15.00/11.06 (((~![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, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1)))))),
% 15.00/11.06 inference(monotonicity,[status(thm)],[27172])).
% 15.00/11.06 tff(27174,plain,
% 15.00/11.06 (((~![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, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1)))))),
% 15.00/11.06 inference(transitivity,[status(thm)],[27173, 27171])).
% 15.00/11.06 tff(27175,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27176,plain,
% 15.00/11.06 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))))),
% 15.00/11.06 inference(modus_ponens,[status(thm)],[27175, 27174])).
% 15.00/11.06 tff(27177,plain,
% 15.00/11.06 (v146(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1)))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27176, 16288])).
% 15.00/11.06 tff(27178,plain,
% 15.00/11.06 (((~![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)))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27179,plain,
% 15.00/11.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27180,plain,
% 15.00/11.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2))),
% 15.00/11.06 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 15.00/11.06 tff(27181,plain,
% 15.00/11.06 (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27180, 579, 576])).
% 15.00/11.06 tff(27182,plain,
% 15.00/11.06 ((~(v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2))) | v88(constB129, bitIndex2) | (~v90(constB129, bitIndex2))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27183,plain,
% 15.00/11.06 (v88(constB129, bitIndex2)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27182, 21307, 27181])).
% 15.00/11.06 tff(27184,plain,
% 15.00/11.06 (((~![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)))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27185,plain,
% 15.00/11.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27186,plain,
% 15.00/11.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0))),
% 15.00/11.06 inference(modus_ponens,[status(thm)],[27185, 27184])).
% 15.00/11.06 tff(27187,plain,
% 15.00/11.06 (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27186, 1275, 576])).
% 15.00/11.06 tff(27188,plain,
% 15.00/11.06 ((~(v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0))) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27189,plain,
% 15.00/11.06 (~v88(constB129, bitIndex0)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27188, 21338, 27187])).
% 15.00/11.06 tff(27190,plain,
% 15.00/11.06 (((~![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)))),
% 15.00/11.06 inference(rewrite,[status(thm)],[])).
% 15.00/11.06 tff(27191,plain,
% 15.00/11.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))),
% 15.00/11.06 inference(quant_inst,[status(thm)],[])).
% 15.00/11.06 tff(27192,plain,
% 15.00/11.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1))),
% 15.00/11.06 inference(modus_ponens,[status(thm)],[27191, 27190])).
% 15.00/11.06 tff(27193,plain,
% 15.00/11.06 (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27192, 1288, 576])).
% 15.00/11.06 tff(27194,plain,
% 15.00/11.06 ((~(v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1))) | (~v88(constB129, bitIndex1)) | v90(constB129, bitIndex1)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27195,plain,
% 15.00/11.06 (~v88(constB129, bitIndex1)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27194, 21369, 27193])).
% 15.00/11.06 tff(27196,plain,
% 15.00/11.06 ((~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))) | v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1)),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27197,plain,
% 15.00/11.06 (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27196, 27195, 27189, 27183])).
% 15.00/11.06 tff(27198,plain,
% 15.00/11.06 ((~(v146(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))))) | v146(constB129) | (v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27199,plain,
% 15.00/11.06 (v146(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27198, 27197, 27177])).
% 15.00/11.06 tff(27200,plain,
% 15.00/11.06 ((v146(constB129) | v147(constB129)) | (~v146(constB129))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27201,plain,
% 15.00/11.06 (v146(constB129) | v147(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27200, 27199])).
% 15.00/11.06 tff(27202,plain,
% 15.00/11.06 ((~(v145(constB129) <=> (v146(constB129) | v147(constB129)))) | v145(constB129) | (~(v146(constB129) | v147(constB129)))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27203,plain,
% 15.00/11.06 (v145(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27202, 27201, 27170])).
% 15.00/11.06 tff(27204,plain,
% 15.00/11.06 ((v136(constB129) | v145(constB129)) | (~v145(constB129))),
% 15.00/11.06 inference(tautology,[status(thm)],[])).
% 15.00/11.06 tff(27205,plain,
% 15.00/11.06 (v136(constB129) | v145(constB129)),
% 15.00/11.06 inference(unit_resolution,[status(thm)],[27204, 27203])).
% 15.00/11.06 tff(27206,plain,
% 15.00/11.06 ((~(v135(constB129) <=> (v136(constB129) | v145(constB129)))) | v135(constB129) | (~(v136(constB129) | v145(constB129)))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27207,plain,
% 15.00/11.07 (v135(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27206, 27205, 27168])).
% 15.00/11.07 tff(27208,plain,
% 15.00/11.07 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB129)) | (v86(constB129) <=> v148(constB129)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB129)) | (v86(constB129) <=> v148(constB129)))),
% 15.00/11.07 inference(rewrite,[status(thm)],[])).
% 15.00/11.07 tff(27209,plain,
% 15.00/11.07 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB129)) | (v86(constB129) <=> v148(constB129)))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27210,plain,
% 15.00/11.07 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB129)) | (v86(constB129) <=> v148(constB129))),
% 15.00/11.07 inference(modus_ponens,[status(thm)],[27209, 27208])).
% 15.00/11.07 tff(27211,plain,
% 15.00/11.07 ((~v135(constB129)) | (v86(constB129) <=> v148(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27210, 16814])).
% 15.00/11.07 tff(27212,plain,
% 15.00/11.07 (v86(constB129) <=> v148(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27211, 27207])).
% 15.00/11.07 tff(27213,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB129) <=> (v142(constB129) | v151(constB129)))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27214,plain,
% 15.00/11.07 (v149(constB129) <=> (v142(constB129) | v151(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27213, 16829])).
% 15.00/11.07 tff(27215,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB129) <=> (v143(constB129) | v144(constB129)))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27216,plain,
% 15.00/11.07 (v142(constB129) <=> (v143(constB129) | v144(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27215, 2813])).
% 15.00/11.07 tff(27217,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27218,plain,
% 15.00/11.07 (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1))))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27217, 16089])).
% 15.00/11.07 tff(27219,plain,
% 15.00/11.07 ((v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1))) | (~v88(constB129, bitIndex2))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27220,plain,
% 15.00/11.07 (v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27219, 27183])).
% 15.00/11.07 tff(27221,plain,
% 15.00/11.07 ((~(v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))) | (~v143(constB129)) | (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1))))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27222,plain,
% 15.00/11.07 (~v143(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27221, 27220, 27218])).
% 15.00/11.07 tff(27223,plain,
% 15.00/11.07 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))))))),
% 15.00/11.07 inference(rewrite,[status(thm)],[])).
% 15.00/11.07 tff(27224,plain,
% 15.00/11.07 ((v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex2))))) <=> (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1)))))),
% 15.00/11.07 inference(rewrite,[status(thm)],[])).
% 15.00/11.07 tff(27225,plain,
% 15.00/11.07 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))))))),
% 15.00/11.07 inference(monotonicity,[status(thm)],[27224])).
% 15.00/11.07 tff(27226,plain,
% 15.00/11.07 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))))))),
% 15.00/11.07 inference(transitivity,[status(thm)],[27225, 27223])).
% 15.00/11.07 tff(27227,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex2)))))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27228,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1)))))),
% 15.00/11.07 inference(modus_ponens,[status(thm)],[27227, 27226])).
% 15.00/11.07 tff(27229,plain,
% 15.00/11.07 (v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27228, 2828])).
% 15.00/11.07 tff(27230,plain,
% 15.00/11.07 ((v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))) | v88(constB129, bitIndex1)),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27231,plain,
% 15.00/11.07 (v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27230, 27195])).
% 15.00/11.07 tff(27232,plain,
% 15.00/11.07 ((~(v144(constB129) <=> (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1)))))) | (~v144(constB129)) | (~(v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex1))))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27233,plain,
% 15.00/11.07 (~v144(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27232, 27231, 27229])).
% 15.00/11.07 tff(27234,plain,
% 15.00/11.07 ((~(v143(constB129) | v144(constB129))) | v143(constB129) | v144(constB129)),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27235,plain,
% 15.00/11.07 (~(v143(constB129) | v144(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27234, 27233, 27222])).
% 15.00/11.07 tff(27236,plain,
% 15.00/11.07 ((~(v142(constB129) <=> (v143(constB129) | v144(constB129)))) | (~v142(constB129)) | (v143(constB129) | v144(constB129))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27237,plain,
% 15.00/11.07 (~v142(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27236, 27235, 27216])).
% 15.00/11.07 tff(27238,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB129) <=> (v141(constB129) | v152(constB129)))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27239,plain,
% 15.00/11.07 (v151(constB129) <=> (v141(constB129) | v152(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27238, 16864])).
% 15.00/11.07 tff(27240,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex0)))))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27241,plain,
% 15.00/11.07 (v141(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex0))))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27240, 564])).
% 15.00/11.07 tff(27242,plain,
% 15.00/11.07 ((v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex0))) | (~v88(constB129, bitIndex2))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27243,plain,
% 15.00/11.07 (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex0))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27242, 27183])).
% 15.00/11.07 tff(27244,plain,
% 15.00/11.07 ((~(v141(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex0)))))) | (~v141(constB129)) | (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | (~v88(constB129, bitIndex0))))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27245,plain,
% 15.00/11.07 (~v141(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27244, 27243, 27241])).
% 15.00/11.07 tff(27246,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB129) <=> (v139(constB129) | v140(constB129)))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27247,plain,
% 15.00/11.07 (v152(constB129) <=> (v139(constB129) | v140(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27246, 16879])).
% 15.00/11.07 tff(27248,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2))))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27249,plain,
% 15.00/11.07 (v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27248, 2231])).
% 15.00/11.07 tff(27250,plain,
% 15.00/11.07 ((v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex2))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27251,plain,
% 15.00/11.07 (v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27250, 27183])).
% 15.00/11.07 tff(27252,plain,
% 15.00/11.07 ((~(v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2))))) | (~v139(constB129)) | (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27253,plain,
% 15.00/11.07 (~v139(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27252, 27251, 27249])).
% 15.00/11.07 tff(27254,plain,
% 15.00/11.07 (((~![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))))))),
% 15.00/11.07 inference(rewrite,[status(thm)],[])).
% 15.00/11.07 tff(27255,plain,
% 15.00/11.07 ((v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0))))) <=> (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))),
% 15.00/11.07 inference(rewrite,[status(thm)],[])).
% 15.00/11.07 tff(27256,plain,
% 15.00/11.07 (((~![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))))))),
% 15.00/11.07 inference(monotonicity,[status(thm)],[27255])).
% 15.00/11.07 tff(27257,plain,
% 15.00/11.07 (((~![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))))))),
% 15.00/11.07 inference(transitivity,[status(thm)],[27256, 27254])).
% 15.00/11.07 tff(27258,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0)))))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27259,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))),
% 15.00/11.07 inference(modus_ponens,[status(thm)],[27258, 27257])).
% 15.00/11.07 tff(27260,plain,
% 15.00/11.07 (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27259, 2250])).
% 15.00/11.07 tff(27261,plain,
% 15.00/11.07 ((v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))) | (~v88(constB129, bitIndex2))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27262,plain,
% 15.00/11.07 (v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27261, 27183])).
% 15.00/11.07 tff(27263,plain,
% 15.00/11.07 ((~(v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))) | (~v140(constB129)) | (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27264,plain,
% 15.00/11.07 (~v140(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27263, 27262, 27260])).
% 15.00/11.07 tff(27265,plain,
% 15.00/11.07 ((~(v139(constB129) | v140(constB129))) | v139(constB129) | v140(constB129)),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27266,plain,
% 15.00/11.07 (~(v139(constB129) | v140(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27265, 27264, 27253])).
% 15.00/11.07 tff(27267,plain,
% 15.00/11.07 ((~(v152(constB129) <=> (v139(constB129) | v140(constB129)))) | (~v152(constB129)) | (v139(constB129) | v140(constB129))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27268,plain,
% 15.00/11.07 (~v152(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27267, 27266, 27247])).
% 15.00/11.07 tff(27269,plain,
% 15.00/11.07 ((~(v141(constB129) | v152(constB129))) | v141(constB129) | v152(constB129)),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27270,plain,
% 15.00/11.07 (~(v141(constB129) | v152(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27269, 27268, 27245])).
% 15.00/11.07 tff(27271,plain,
% 15.00/11.07 ((~(v151(constB129) <=> (v141(constB129) | v152(constB129)))) | (~v151(constB129)) | (v141(constB129) | v152(constB129))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27272,plain,
% 15.00/11.07 (~v151(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27271, 27270, 27239])).
% 15.00/11.07 tff(27273,plain,
% 15.00/11.07 ((~(v142(constB129) | v151(constB129))) | v142(constB129) | v151(constB129)),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27274,plain,
% 15.00/11.07 (~(v142(constB129) | v151(constB129))),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27273, 27272, 27237])).
% 15.00/11.07 tff(27275,plain,
% 15.00/11.07 ((~(v149(constB129) <=> (v142(constB129) | v151(constB129)))) | (~v149(constB129)) | (v142(constB129) | v151(constB129))),
% 15.00/11.07 inference(tautology,[status(thm)],[])).
% 15.00/11.07 tff(27276,plain,
% 15.00/11.07 (~v149(constB129)),
% 15.00/11.07 inference(unit_resolution,[status(thm)],[27275, 27274, 27214])).
% 15.00/11.07 tff(27277,plain,
% 15.00/11.07 (((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB129) | v149(constB129))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB129) | v149(constB129))),
% 15.00/11.07 inference(rewrite,[status(thm)],[])).
% 15.00/11.07 tff(27278,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB129) | v149(constB129))),
% 15.00/11.07 inference(quant_inst,[status(thm)],[])).
% 15.00/11.07 tff(27279,plain,
% 15.00/11.07 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB129) | v149(constB129)),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27278, 27277])).
% 15.00/11.08 tff(27280,plain,
% 15.00/11.08 (v148(constB129) | v149(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27279, 16920])).
% 15.00/11.08 tff(27281,plain,
% 15.00/11.08 (v148(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27280, 27276])).
% 15.00/11.08 tff(27282,plain,
% 15.00/11.08 ((~(v86(constB129) <=> v148(constB129))) | v86(constB129) | (~v148(constB129))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27283,plain,
% 15.00/11.08 (v86(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27282, 27281, 27212])).
% 15.00/11.08 tff(27284,plain,
% 15.00/11.08 ((~(v84(constB129) <=> v86(constB129))) | v84(constB129) | (~v86(constB129))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27285,plain,
% 15.00/11.08 ((~(v84(constB129) <=> v86(constB129))) | v84(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27284, 27283])).
% 15.00/11.08 tff(27286,plain,
% 15.00/11.08 (v84(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27285, 27166])).
% 15.00/11.08 tff(27287,plain,
% 15.00/11.08 ((~((~v208(constB129)) <=> v84(constB129))) | (~v208(constB129)) | (~v84(constB129))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27288,plain,
% 15.00/11.08 ((~((~v208(constB129)) <=> v84(constB129))) | (~v208(constB129))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27287, 27286])).
% 15.00/11.08 tff(27289,plain,
% 15.00/11.08 (~v208(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27288, 27164])).
% 15.00/11.08 tff(27290,plain,
% 15.00/11.08 (((~v184(constB129)) | (~v208(constB129))) | v208(constB129)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27291,plain,
% 15.00/11.08 ((~v184(constB129)) | (~v208(constB129))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27290, 27289])).
% 15.00/11.08 tff(27292,plain,
% 15.00/11.08 ((~(v207(constB129) <=> (~((~v184(constB129)) | (~v208(constB129)))))) | (~v207(constB129)) | (~((~v184(constB129)) | (~v208(constB129))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27293,plain,
% 15.00/11.08 (~v207(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27292, 27291, 27162])).
% 15.00/11.08 tff(27294,plain,
% 15.00/11.08 (((~v186(constB129)) | (~v207(constB129))) | v207(constB129)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27295,plain,
% 15.00/11.08 ((~v186(constB129)) | (~v207(constB129))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27294, 27293])).
% 15.00/11.08 tff(27296,plain,
% 15.00/11.08 ((~(v206(constB129) <=> (~((~v186(constB129)) | (~v207(constB129)))))) | (~v206(constB129)) | (~((~v186(constB129)) | (~v207(constB129))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27297,plain,
% 15.00/11.08 (~v206(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27296, 27295, 27155])).
% 15.00/11.08 tff(27298,plain,
% 15.00/11.08 (((~v158(constB129)) | (~v206(constB129))) | v206(constB129)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27299,plain,
% 15.00/11.08 ((~v158(constB129)) | (~v206(constB129))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27298, 27297])).
% 15.00/11.08 tff(27300,plain,
% 15.00/11.08 ((~(v205(constB129) <=> (~((~v158(constB129)) | (~v206(constB129)))))) | (~v205(constB129)) | (~((~v158(constB129)) | (~v206(constB129))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27301,plain,
% 15.00/11.08 (~v205(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27300, 27299, 27153])).
% 15.00/11.08 tff(27302,plain,
% 15.00/11.08 ((~(v205(constB129) | v209(constB129))) | v205(constB129) | v209(constB129)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27303,plain,
% 15.00/11.08 (~(v205(constB129) | v209(constB129))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27302, 27301, 27146])).
% 15.00/11.08 tff(27304,plain,
% 15.00/11.08 ((~(v204(constB129) <=> (v205(constB129) | v209(constB129)))) | (~v204(constB129)) | (v205(constB129) | v209(constB129))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27305,plain,
% 15.00/11.08 (~v204(constB129)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27304, 27303, 26992])).
% 15.00/11.08 tff(27306,plain,
% 15.00/11.08 ($false),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27305, 26990])).
% 15.00/11.08 tff(27307,plain,(~(constB129 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.00/11.08 tff(27308,assumption,(constB187 = VarCurr!0), introduced(assumption)).
% 15.00/11.08 tff(27309,plain,
% 15.00/11.08 (v204(constB187) <=> v204(VarCurr!0)),
% 15.00/11.08 inference(monotonicity,[status(thm)],[27308])).
% 15.00/11.08 tff(27310,plain,
% 15.00/11.08 (v204(VarCurr!0) <=> v204(constB187)),
% 15.00/11.08 inference(symmetry,[status(thm)],[27309])).
% 15.00/11.08 tff(27311,plain,
% 15.00/11.08 (v204(constB187)),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27, 27310])).
% 15.00/11.08 tff(27312,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB187) <=> (v205(constB187) | v209(constB187)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27313,plain,
% 15.00/11.08 (v204(constB187) <=> (v205(constB187) | v209(constB187))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27312, 35])).
% 15.00/11.08 tff(27314,plain,
% 15.00/11.08 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187))))))),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27315,plain,
% 15.00/11.08 ((v209(constB187) <=> (~((~v206(constB187)) | (~v191(constB187))))) <=> (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187)))))),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27316,plain,
% 15.00/11.08 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v206(constB187)) | (~v191(constB187)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187))))))),
% 15.00/11.08 inference(monotonicity,[status(thm)],[27315])).
% 15.00/11.08 tff(27317,plain,
% 15.00/11.08 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v206(constB187)) | (~v191(constB187)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187))))))),
% 15.00/11.08 inference(transitivity,[status(thm)],[27316, 27314])).
% 15.00/11.08 tff(27318,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v206(constB187)) | (~v191(constB187)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27319,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187)))))),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27318, 27317])).
% 15.00/11.08 tff(27320,plain,
% 15.00/11.08 (v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27319, 47])).
% 15.00/11.08 tff(27321,plain,
% 15.00/11.08 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB187) <=> v196(constB187))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27322,plain,
% 15.00/11.08 (v191(constB187) <=> v196(constB187)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27321, 64])).
% 15.00/11.08 tff(27323,plain,
% 15.00/11.08 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27324,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186')).
% 15.00/11.08 tff(27325,plain,
% 15.00/11.08 (nextState(constB186, constB187)),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 15.00/11.08 tff(27326,plain,
% 15.00/11.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB186, constB187)) | (v196(constB187) <=> v194(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB186, constB187)) | (v196(constB187) <=> v194(constB186)))),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27327,plain,
% 15.00/11.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB186, constB187)) | (v196(constB187) <=> v194(constB186)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27328,plain,
% 15.00/11.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB186, constB187)) | (v196(constB187) <=> v194(constB186))),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 15.00/11.08 tff(27329,plain,
% 15.00/11.08 (v196(constB187) <=> v194(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27328, 27325, 76])).
% 15.00/11.08 tff(27330,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB186) <=> (v197(constB186) | v198(constB186)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27331,plain,
% 15.00/11.08 (v194(constB186) <=> (v197(constB186) | v198(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27330, 90])).
% 15.00/11.08 tff(27332,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB186) <=> (~((~v158(constB186)) | (~v199(constB186)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27333,plain,
% 15.00/11.08 (v198(constB186) <=> (~((~v158(constB186)) | (~v199(constB186))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27332, 102])).
% 15.00/11.08 tff(27334,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB186) <=> (~((~v186(constB186)) | (~v200(constB186)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27335,plain,
% 15.00/11.08 (v199(constB186) <=> (~((~v186(constB186)) | (~v200(constB186))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27334, 114])).
% 15.00/11.08 tff(27336,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB186) <=> (~((~v184(constB186)) | (~v84(constB186)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27337,plain,
% 15.00/11.08 (v200(constB186) <=> (~((~v184(constB186)) | (~v84(constB186))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27336, 126])).
% 15.00/11.08 tff(27338,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27339,plain,
% 15.00/11.08 (v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27338, 138])).
% 15.00/11.08 tff(27340,plain,
% 15.00/11.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB186)) <=> v1(constB186))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27341,plain,
% 15.00/11.08 ((~v39(constB186)) <=> v1(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27340, 147])).
% 15.00/11.08 tff(27342,plain,
% 15.00/11.08 (v1(constB186) <=> v1(constB186)),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27343,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186')).
% 15.00/11.08 tff(27344,plain,
% 15.00/11.08 (v1(constB186)),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 15.00/11.08 tff(27345,plain,
% 15.00/11.08 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186)) | (~v1(constB186))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27346,plain,
% 15.00/11.08 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27345, 27344])).
% 15.00/11.08 tff(27347,plain,
% 15.00/11.08 (~v39(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27346, 27341])).
% 15.00/11.08 tff(27348,plain,
% 15.00/11.08 (((~v39(constB186)) | (~v9(constB186))) | v39(constB186)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27349,plain,
% 15.00/11.08 ((~v39(constB186)) | (~v9(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27348, 27347])).
% 15.00/11.08 tff(27350,plain,
% 15.00/11.08 ((~(v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v184(constB186)) | (~((~v39(constB186)) | (~v9(constB186))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27351,plain,
% 15.00/11.08 ((~(v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v184(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27350, 27349])).
% 15.00/11.08 tff(27352,plain,
% 15.00/11.08 (~v184(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27351, 27339])).
% 15.00/11.08 tff(27353,plain,
% 15.00/11.08 (((~v184(constB186)) | (~v84(constB186))) | v184(constB186)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27354,plain,
% 15.00/11.08 ((~v184(constB186)) | (~v84(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27353, 27352])).
% 15.00/11.08 tff(27355,plain,
% 15.00/11.08 ((~(v200(constB186) <=> (~((~v184(constB186)) | (~v84(constB186)))))) | (~v200(constB186)) | (~((~v184(constB186)) | (~v84(constB186))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27356,plain,
% 15.00/11.08 ((~(v200(constB186) <=> (~((~v184(constB186)) | (~v84(constB186)))))) | (~v200(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27355, 27354])).
% 15.00/11.08 tff(27357,plain,
% 15.00/11.08 (~v200(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27356, 27337])).
% 15.00/11.08 tff(27358,plain,
% 15.00/11.08 (((~v186(constB186)) | (~v200(constB186))) | v200(constB186)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27359,plain,
% 15.00/11.08 ((~v186(constB186)) | (~v200(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27358, 27357])).
% 15.00/11.08 tff(27360,plain,
% 15.00/11.08 ((~(v199(constB186) <=> (~((~v186(constB186)) | (~v200(constB186)))))) | (~v199(constB186)) | (~((~v186(constB186)) | (~v200(constB186))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27361,plain,
% 15.00/11.08 (~v199(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27360, 27359, 27335])).
% 15.00/11.08 tff(27362,plain,
% 15.00/11.08 (((~v158(constB186)) | (~v199(constB186))) | v199(constB186)),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27363,plain,
% 15.00/11.08 ((~v158(constB186)) | (~v199(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27362, 27361])).
% 15.00/11.08 tff(27364,plain,
% 15.00/11.08 ((~(v198(constB186) <=> (~((~v158(constB186)) | (~v199(constB186)))))) | (~v198(constB186)) | (~((~v158(constB186)) | (~v199(constB186))))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27365,plain,
% 15.00/11.08 (~v198(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27364, 27363, 27333])).
% 15.00/11.08 tff(27366,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB186) <=> (~((~v182(constB186)) | (~v191(constB186)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27367,plain,
% 15.00/11.08 (v197(constB186) <=> (~((~v182(constB186)) | (~v191(constB186))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27366, 183])).
% 15.00/11.08 tff(27368,plain,
% 15.00/11.08 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB186) <=> v196(constB186))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27369,plain,
% 15.00/11.08 (v191(constB186) <=> v196(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27368, 64])).
% 15.00/11.08 tff(27370,plain,
% 15.00/11.08 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27371,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185')).
% 15.00/11.08 tff(27372,plain,
% 15.00/11.08 (nextState(constB185, constB186)),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 15.00/11.08 tff(27373,plain,
% 15.00/11.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB185, constB186)) | (v196(constB186) <=> v194(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB185, constB186)) | (v196(constB186) <=> v194(constB185)))),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27374,plain,
% 15.00/11.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB185, constB186)) | (v196(constB186) <=> v194(constB185)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27375,plain,
% 15.00/11.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB185, constB186)) | (v196(constB186) <=> v194(constB185))),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27374, 27373])).
% 15.00/11.08 tff(27376,plain,
% 15.00/11.08 (v196(constB186) <=> v194(constB185)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27375, 27372, 76])).
% 15.00/11.08 tff(27377,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB185) <=> (v197(constB185) | v198(constB185)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27378,plain,
% 15.00/11.08 (v194(constB185) <=> (v197(constB185) | v198(constB185))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27377, 90])).
% 15.00/11.08 tff(27379,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB185) <=> (~((~v182(constB185)) | (~v191(constB185)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27380,plain,
% 15.00/11.08 (v197(constB185) <=> (~((~v182(constB185)) | (~v191(constB185))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27379, 183])).
% 15.00/11.08 tff(27381,plain,
% 15.00/11.08 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB185)) <=> v183(constB185))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27382,plain,
% 15.00/11.08 ((~v182(constB185)) <=> v183(constB185)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27381, 205])).
% 15.00/11.08 tff(27383,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB185) <=> (v184(constB185) | v26(constB185)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27384,plain,
% 15.00/11.08 (v183(constB185) <=> (v184(constB185) | v26(constB185))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27383, 214])).
% 15.00/11.08 tff(27385,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27386,plain,
% 15.00/11.08 (v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27385, 138])).
% 15.00/11.08 tff(27387,plain,
% 15.00/11.08 (((~![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)))),
% 15.00/11.08 inference(rewrite,[status(thm)],[])).
% 15.00/11.08 tff(27388,plain,
% 15.00/11.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27389,plain,
% 15.00/11.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185))),
% 15.00/11.08 inference(modus_ponens,[status(thm)],[27388, 27387])).
% 15.00/11.08 tff(27390,plain,
% 15.00/11.08 (v13(constB186) <=> v9(constB185)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27389, 27372, 228])).
% 15.00/11.08 tff(27391,plain,
% 15.00/11.08 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB186) <=> v13(constB186))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27392,plain,
% 15.00/11.08 (v6(constB186) <=> v13(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27391, 242])).
% 15.00/11.08 tff(27393,plain,
% 15.00/11.08 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB186)) <=> v6(constB186))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27394,plain,
% 15.00/11.08 ((~v21(constB186)) <=> v6(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27393, 251])).
% 15.00/11.08 tff(27395,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB186) <=> (v20(constB186) | v21(constB186)))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27396,plain,
% 15.00/11.08 (v19(constB186) <=> (v20(constB186) | v21(constB186))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27395, 260])).
% 15.00/11.08 tff(27397,plain,
% 15.00/11.08 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27398,plain,
% 15.00/11.08 (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186))))),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27397, 272])).
% 15.00/11.08 tff(27399,plain,
% 15.00/11.08 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB186)) <=> v18(constB186))),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27400,plain,
% 15.00/11.08 ((~v4(constB186)) <=> v18(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27399, 281])).
% 15.00/11.08 tff(27401,plain,
% 15.00/11.08 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB186)),
% 15.00/11.08 inference(quant_inst,[status(thm)],[])).
% 15.00/11.08 tff(27402,plain,
% 15.00/11.08 (v4(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27401, 290])).
% 15.00/11.08 tff(27403,plain,
% 15.00/11.08 ((~((~v4(constB186)) <=> v18(constB186))) | (~v4(constB186)) | (~v18(constB186))),
% 15.00/11.08 inference(tautology,[status(thm)],[])).
% 15.00/11.08 tff(27404,plain,
% 15.00/11.08 (~v18(constB186)),
% 15.00/11.08 inference(unit_resolution,[status(thm)],[27403, 27402, 27400])).
% 15.00/11.09 tff(27405,plain,
% 15.00/11.09 ((~(v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))) | v18(constB186) | ((~v19(constB186)) | (~v22(constB186)))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27406,plain,
% 15.00/11.09 ((~v19(constB186)) | (~v22(constB186))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27405, 27404, 27398])).
% 15.00/11.09 tff(27407,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB186) <=> (v1(constB186) | v6(constB186)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27408,plain,
% 15.00/11.09 (v22(constB186) <=> (v1(constB186) | v6(constB186))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27407, 303])).
% 15.00/11.09 tff(27409,plain,
% 15.00/11.09 ((v1(constB186) | v6(constB186)) | (~v1(constB186))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27410,plain,
% 15.00/11.09 (v1(constB186) | v6(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27409, 27344])).
% 15.00/11.09 tff(27411,plain,
% 15.00/11.09 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186) | (~(v1(constB186) | v6(constB186)))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27412,plain,
% 15.00/11.09 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27411, 27410])).
% 15.00/11.09 tff(27413,plain,
% 15.00/11.09 (v22(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27412, 27408])).
% 15.00/11.09 tff(27414,plain,
% 15.00/11.09 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186)) | (~v22(constB186))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27415,plain,
% 15.00/11.09 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27414, 27413])).
% 15.00/11.09 tff(27416,plain,
% 15.00/11.09 (~v19(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27415, 27406])).
% 15.00/11.09 tff(27417,plain,
% 15.00/11.09 ((~(v19(constB186) <=> (v20(constB186) | v21(constB186)))) | v19(constB186) | (~(v20(constB186) | v21(constB186)))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27418,plain,
% 15.00/11.09 (~(v20(constB186) | v21(constB186))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27417, 27416, 27396])).
% 15.00/11.09 tff(27419,plain,
% 15.00/11.09 ((v20(constB186) | v21(constB186)) | (~v21(constB186))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27420,plain,
% 15.00/11.09 (~v21(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27419, 27418])).
% 15.00/11.09 tff(27421,plain,
% 15.00/11.09 ((~((~v21(constB186)) <=> v6(constB186))) | v21(constB186) | v6(constB186)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27422,plain,
% 15.00/11.09 (v6(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27421, 27420, 27394])).
% 15.00/11.09 tff(27423,plain,
% 15.00/11.09 ((~(v6(constB186) <=> v13(constB186))) | (~v6(constB186)) | v13(constB186)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27424,plain,
% 15.00/11.09 (v13(constB186)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27423, 27422, 27392])).
% 15.00/11.09 tff(27425,plain,
% 15.00/11.09 ((~(v13(constB186) <=> v9(constB185))) | (~v13(constB186)) | v9(constB185)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27426,plain,
% 15.00/11.09 (v9(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27425, 27424, 27390])).
% 15.00/11.09 tff(27427,plain,
% 15.00/11.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB185)) <=> v1(constB185))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27428,plain,
% 15.00/11.09 ((~v39(constB185)) <=> v1(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27427, 147])).
% 15.00/11.09 tff(27429,plain,
% 15.00/11.09 ((~v1(constB185)) <=> (~v1(constB185))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27430,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185')).
% 15.00/11.09 tff(27431,plain,
% 15.00/11.09 (~v1(constB185)),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 15.00/11.09 tff(27432,plain,
% 15.00/11.09 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185) | v1(constB185)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27433,plain,
% 15.00/11.09 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27432, 27431])).
% 15.00/11.09 tff(27434,plain,
% 15.00/11.09 (v39(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27433, 27428])).
% 15.00/11.09 tff(27435,plain,
% 15.00/11.09 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v39(constB185)) | (~v9(constB185))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27436,plain,
% 15.00/11.09 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v9(constB185))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27435, 27434])).
% 15.00/11.09 tff(27437,plain,
% 15.00/11.09 (~((~v39(constB185)) | (~v9(constB185)))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27436, 27426])).
% 15.00/11.09 tff(27438,plain,
% 15.00/11.09 ((~(v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))) | v184(constB185) | ((~v39(constB185)) | (~v9(constB185)))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27439,plain,
% 15.00/11.09 (v184(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27438, 27437, 27386])).
% 15.00/11.09 tff(27440,plain,
% 15.00/11.09 ((v184(constB185) | v26(constB185)) | (~v184(constB185))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27441,plain,
% 15.00/11.09 (v184(constB185) | v26(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27440, 27439])).
% 15.00/11.09 tff(27442,plain,
% 15.00/11.09 ((~(v183(constB185) <=> (v184(constB185) | v26(constB185)))) | v183(constB185) | (~(v184(constB185) | v26(constB185)))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27443,plain,
% 15.00/11.09 (v183(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27442, 27441, 27384])).
% 15.00/11.09 tff(27444,plain,
% 15.00/11.09 ((~((~v182(constB185)) <=> v183(constB185))) | (~v182(constB185)) | (~v183(constB185))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27445,plain,
% 15.00/11.09 (~v182(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27444, 27443, 27382])).
% 15.00/11.09 tff(27446,plain,
% 15.00/11.09 (((~v182(constB185)) | (~v191(constB185))) | v182(constB185)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27447,plain,
% 15.00/11.09 ((~v182(constB185)) | (~v191(constB185))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27446, 27445])).
% 15.00/11.09 tff(27448,plain,
% 15.00/11.09 ((~(v197(constB185) <=> (~((~v182(constB185)) | (~v191(constB185)))))) | (~v197(constB185)) | (~((~v182(constB185)) | (~v191(constB185))))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27449,plain,
% 15.00/11.09 (~v197(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27448, 27447, 27380])).
% 15.00/11.09 tff(27450,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB185) <=> (~((~v158(constB185)) | (~v199(constB185)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27451,plain,
% 15.00/11.09 (v198(constB185) <=> (~((~v158(constB185)) | (~v199(constB185))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27450, 102])).
% 15.00/11.09 tff(27452,plain,
% 15.00/11.09 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB185) <=> v180(constB185))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27453,plain,
% 15.00/11.09 (v158(constB185) <=> v180(constB185)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27452, 358])).
% 15.00/11.09 tff(27454,plain,
% 15.00/11.09 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27455,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184')).
% 15.00/11.09 tff(27456,plain,
% 15.00/11.09 (nextState(constB184, constB185)),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27455, 27454])).
% 15.00/11.09 tff(27457,plain,
% 15.00/11.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB184, constB185)) | (v180(constB185) <=> v178(constB184)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB184, constB185)) | (v180(constB185) <=> v178(constB184)))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27458,plain,
% 15.00/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB184, constB185)) | (v180(constB185) <=> v178(constB184)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27459,plain,
% 15.00/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB184, constB185)) | (v180(constB185) <=> v178(constB184))),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27458, 27457])).
% 15.00/11.09 tff(27460,plain,
% 15.00/11.09 (v180(constB185) <=> v178(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27459, 27456, 370])).
% 15.00/11.09 tff(27461,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB184) <=> (v181(constB184) | v185(constB184)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27462,plain,
% 15.00/11.09 (v178(constB184) <=> (v181(constB184) | v185(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27461, 384])).
% 15.00/11.09 tff(27463,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB184) <=> (~((~v186(constB184)) | (~v187(constB184)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27464,plain,
% 15.00/11.09 (v185(constB184) <=> (~((~v186(constB184)) | (~v187(constB184))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27463, 396])).
% 15.00/11.09 tff(27465,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB184) <=> (~((~v184(constB184)) | (~v160(constB184)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27466,plain,
% 15.00/11.09 (v187(constB184) <=> (~((~v184(constB184)) | (~v160(constB184))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27465, 408])).
% 15.00/11.09 tff(27467,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27468,plain,
% 15.00/11.09 (v184(constB184) <=> (~((~v39(constB184)) | (~v9(constB184))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27467, 138])).
% 15.00/11.09 tff(27469,plain,
% 15.00/11.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB184)) <=> v1(constB184))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27470,plain,
% 15.00/11.09 ((~v39(constB184)) <=> v1(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27469, 147])).
% 15.00/11.09 tff(27471,plain,
% 15.00/11.09 (v1(constB184) <=> v1(constB184)),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27472,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184')).
% 15.00/11.09 tff(27473,plain,
% 15.00/11.09 (v1(constB184)),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27472, 27471])).
% 15.00/11.09 tff(27474,plain,
% 15.00/11.09 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184)) | (~v1(constB184))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27475,plain,
% 15.00/11.09 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27474, 27473])).
% 15.00/11.09 tff(27476,plain,
% 15.00/11.09 (~v39(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27475, 27470])).
% 15.00/11.09 tff(27477,plain,
% 15.00/11.09 (((~v39(constB184)) | (~v9(constB184))) | v39(constB184)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27478,plain,
% 15.00/11.09 ((~v39(constB184)) | (~v9(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27477, 27476])).
% 15.00/11.09 tff(27479,plain,
% 15.00/11.09 ((~(v184(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v184(constB184)) | (~((~v39(constB184)) | (~v9(constB184))))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27480,plain,
% 15.00/11.09 ((~(v184(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v184(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27479, 27478])).
% 15.00/11.09 tff(27481,plain,
% 15.00/11.09 (~v184(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27480, 27468])).
% 15.00/11.09 tff(27482,plain,
% 15.00/11.09 (((~v184(constB184)) | (~v160(constB184))) | v184(constB184)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27483,plain,
% 15.00/11.09 ((~v184(constB184)) | (~v160(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27482, 27481])).
% 15.00/11.09 tff(27484,plain,
% 15.00/11.09 ((~(v187(constB184) <=> (~((~v184(constB184)) | (~v160(constB184)))))) | (~v187(constB184)) | (~((~v184(constB184)) | (~v160(constB184))))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27485,plain,
% 15.00/11.09 ((~(v187(constB184) <=> (~((~v184(constB184)) | (~v160(constB184)))))) | (~v187(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27484, 27483])).
% 15.00/11.09 tff(27486,plain,
% 15.00/11.09 (~v187(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27485, 27466])).
% 15.00/11.09 tff(27487,plain,
% 15.00/11.09 (((~v186(constB184)) | (~v187(constB184))) | v187(constB184)),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27488,plain,
% 15.00/11.09 ((~v186(constB184)) | (~v187(constB184))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27487, 27486])).
% 15.00/11.09 tff(27489,plain,
% 15.00/11.09 ((~(v185(constB184) <=> (~((~v186(constB184)) | (~v187(constB184)))))) | (~v185(constB184)) | (~((~v186(constB184)) | (~v187(constB184))))),
% 15.00/11.09 inference(tautology,[status(thm)],[])).
% 15.00/11.09 tff(27490,plain,
% 15.00/11.09 (~v185(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27489, 27488, 27464])).
% 15.00/11.09 tff(27491,plain,
% 15.00/11.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184))))))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27492,plain,
% 15.00/11.09 ((v181(constB184) <=> (~((~v182(constB184)) | (~v158(constB184))))) <=> (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184)))))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27493,plain,
% 15.00/11.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v182(constB184)) | (~v158(constB184)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184))))))),
% 15.00/11.09 inference(monotonicity,[status(thm)],[27492])).
% 15.00/11.09 tff(27494,plain,
% 15.00/11.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v182(constB184)) | (~v158(constB184)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184))))))),
% 15.00/11.09 inference(transitivity,[status(thm)],[27493, 27491])).
% 15.00/11.09 tff(27495,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v182(constB184)) | (~v158(constB184)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27496,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184)))))),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27495, 27494])).
% 15.00/11.09 tff(27497,plain,
% 15.00/11.09 (v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27496, 444])).
% 15.00/11.09 tff(27498,plain,
% 15.00/11.09 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB184) <=> v180(constB184))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27499,plain,
% 15.00/11.09 (v158(constB184) <=> v180(constB184)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27498, 358])).
% 15.00/11.09 tff(27500,plain,
% 15.00/11.09 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27501,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183')).
% 15.00/11.09 tff(27502,plain,
% 15.00/11.09 (nextState(constB183, constB184)),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 15.00/11.09 tff(27503,plain,
% 15.00/11.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB183, constB184)) | (v180(constB184) <=> v178(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB183, constB184)) | (v180(constB184) <=> v178(constB183)))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27504,plain,
% 15.00/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB183, constB184)) | (v180(constB184) <=> v178(constB183)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27505,plain,
% 15.00/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB183, constB184)) | (v180(constB184) <=> v178(constB183))),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27504, 27503])).
% 15.00/11.09 tff(27506,plain,
% 15.00/11.09 (v180(constB184) <=> v178(constB183)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27505, 27502, 370])).
% 15.00/11.09 tff(27507,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB183) <=> (v181(constB183) | v185(constB183)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27508,plain,
% 15.00/11.09 (v178(constB183) <=> (v181(constB183) | v185(constB183))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27507, 384])).
% 15.00/11.09 tff(27509,plain,
% 15.00/11.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183))))))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27510,plain,
% 15.00/11.09 ((v181(constB183) <=> (~((~v182(constB183)) | (~v158(constB183))))) <=> (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183)))))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27511,plain,
% 15.00/11.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v182(constB183)) | (~v158(constB183)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183))))))),
% 15.00/11.09 inference(monotonicity,[status(thm)],[27510])).
% 15.00/11.09 tff(27512,plain,
% 15.00/11.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v182(constB183)) | (~v158(constB183)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183))))))),
% 15.00/11.09 inference(transitivity,[status(thm)],[27511, 27509])).
% 15.00/11.09 tff(27513,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v182(constB183)) | (~v158(constB183)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27514,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183)))))),
% 15.00/11.09 inference(modus_ponens,[status(thm)],[27513, 27512])).
% 15.00/11.09 tff(27515,plain,
% 15.00/11.09 (v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27514, 444])).
% 15.00/11.09 tff(27516,plain,
% 15.00/11.09 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB183)) <=> v183(constB183))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27517,plain,
% 15.00/11.09 ((~v182(constB183)) <=> v183(constB183)),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27516, 205])).
% 15.00/11.09 tff(27518,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB183) <=> (v184(constB183) | v26(constB183)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27519,plain,
% 15.00/11.09 (v183(constB183) <=> (v184(constB183) | v26(constB183))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27518, 214])).
% 15.00/11.09 tff(27520,plain,
% 15.00/11.09 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB183) <=> (~((~v39(constB183)) | (~v9(constB183)))))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27521,plain,
% 15.00/11.09 (v184(constB183) <=> (~((~v39(constB183)) | (~v9(constB183))))),
% 15.00/11.09 inference(unit_resolution,[status(thm)],[27520, 138])).
% 15.00/11.09 tff(27522,plain,
% 15.00/11.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))),
% 15.00/11.09 inference(rewrite,[status(thm)],[])).
% 15.00/11.09 tff(27523,plain,
% 15.00/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))),
% 15.00/11.09 inference(quant_inst,[status(thm)],[])).
% 15.00/11.09 tff(27524,plain,
% 15.00/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183))),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27523, 27522])).
% 15.00/11.10 tff(27525,plain,
% 15.00/11.10 (v13(constB184) <=> v9(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27524, 27502, 228])).
% 15.00/11.10 tff(27526,plain,
% 15.00/11.10 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB184) <=> v13(constB184))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27527,plain,
% 15.00/11.10 (v6(constB184) <=> v13(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27526, 242])).
% 15.00/11.10 tff(27528,plain,
% 15.00/11.10 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB184)) <=> v6(constB184))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27529,plain,
% 15.00/11.10 ((~v21(constB184)) <=> v6(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27528, 251])).
% 15.00/11.10 tff(27530,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB184) <=> (v20(constB184) | v21(constB184)))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27531,plain,
% 15.00/11.10 (v19(constB184) <=> (v20(constB184) | v21(constB184))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27530, 260])).
% 15.00/11.10 tff(27532,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184)))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27533,plain,
% 15.00/11.10 (v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184))))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27532, 272])).
% 15.00/11.10 tff(27534,plain,
% 15.00/11.10 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB184)) <=> v18(constB184))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27535,plain,
% 15.00/11.10 ((~v4(constB184)) <=> v18(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27534, 281])).
% 15.00/11.10 tff(27536,plain,
% 15.00/11.10 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB184)),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27537,plain,
% 15.00/11.10 (v4(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27536, 290])).
% 15.00/11.10 tff(27538,plain,
% 15.00/11.10 ((~((~v4(constB184)) <=> v18(constB184))) | (~v4(constB184)) | (~v18(constB184))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27539,plain,
% 15.00/11.10 (~v18(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27538, 27537, 27535])).
% 15.00/11.10 tff(27540,plain,
% 15.00/11.10 ((~(v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184)))))) | v18(constB184) | ((~v19(constB184)) | (~v22(constB184)))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27541,plain,
% 15.00/11.10 ((~v19(constB184)) | (~v22(constB184))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27540, 27539, 27533])).
% 15.00/11.10 tff(27542,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB184) <=> (v1(constB184) | v6(constB184)))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27543,plain,
% 15.00/11.10 (v22(constB184) <=> (v1(constB184) | v6(constB184))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27542, 303])).
% 15.00/11.10 tff(27544,plain,
% 15.00/11.10 ((v1(constB184) | v6(constB184)) | (~v1(constB184))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27545,plain,
% 15.00/11.10 (v1(constB184) | v6(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27544, 27473])).
% 15.00/11.10 tff(27546,plain,
% 15.00/11.10 ((~(v22(constB184) <=> (v1(constB184) | v6(constB184)))) | v22(constB184) | (~(v1(constB184) | v6(constB184)))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27547,plain,
% 15.00/11.10 ((~(v22(constB184) <=> (v1(constB184) | v6(constB184)))) | v22(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27546, 27545])).
% 15.00/11.10 tff(27548,plain,
% 15.00/11.10 (v22(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27547, 27543])).
% 15.00/11.10 tff(27549,plain,
% 15.00/11.10 ((~((~v19(constB184)) | (~v22(constB184)))) | (~v19(constB184)) | (~v22(constB184))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27550,plain,
% 15.00/11.10 ((~((~v19(constB184)) | (~v22(constB184)))) | (~v19(constB184))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27549, 27548])).
% 15.00/11.10 tff(27551,plain,
% 15.00/11.10 (~v19(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27550, 27541])).
% 15.00/11.10 tff(27552,plain,
% 15.00/11.10 ((~(v19(constB184) <=> (v20(constB184) | v21(constB184)))) | v19(constB184) | (~(v20(constB184) | v21(constB184)))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27553,plain,
% 15.00/11.10 (~(v20(constB184) | v21(constB184))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27552, 27551, 27531])).
% 15.00/11.10 tff(27554,plain,
% 15.00/11.10 ((v20(constB184) | v21(constB184)) | (~v21(constB184))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27555,plain,
% 15.00/11.10 (~v21(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27554, 27553])).
% 15.00/11.10 tff(27556,plain,
% 15.00/11.10 ((~((~v21(constB184)) <=> v6(constB184))) | v21(constB184) | v6(constB184)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27557,plain,
% 15.00/11.10 (v6(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27556, 27555, 27529])).
% 15.00/11.10 tff(27558,plain,
% 15.00/11.10 ((~(v6(constB184) <=> v13(constB184))) | (~v6(constB184)) | v13(constB184)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27559,plain,
% 15.00/11.10 (v13(constB184)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27558, 27557, 27527])).
% 15.00/11.10 tff(27560,plain,
% 15.00/11.10 ((~(v13(constB184) <=> v9(constB183))) | (~v13(constB184)) | v9(constB183)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27561,plain,
% 15.00/11.10 (v9(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27560, 27559, 27525])).
% 15.00/11.10 tff(27562,plain,
% 15.00/11.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB183)) <=> v1(constB183))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27563,plain,
% 15.00/11.10 ((~v39(constB183)) <=> v1(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27562, 147])).
% 15.00/11.10 tff(27564,plain,
% 15.00/11.10 ((~v1(constB183)) <=> (~v1(constB183))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27565,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183')).
% 15.00/11.10 tff(27566,plain,
% 15.00/11.10 (~v1(constB183)),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27565, 27564])).
% 15.00/11.10 tff(27567,plain,
% 15.00/11.10 ((~((~v39(constB183)) <=> v1(constB183))) | v39(constB183) | v1(constB183)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27568,plain,
% 15.00/11.10 ((~((~v39(constB183)) <=> v1(constB183))) | v39(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27567, 27566])).
% 15.00/11.10 tff(27569,plain,
% 15.00/11.10 (v39(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27568, 27563])).
% 15.00/11.10 tff(27570,plain,
% 15.00/11.10 ((~((~v39(constB183)) | (~v9(constB183)))) | (~v39(constB183)) | (~v9(constB183))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27571,plain,
% 15.00/11.10 ((~((~v39(constB183)) | (~v9(constB183)))) | (~v9(constB183))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27570, 27569])).
% 15.00/11.10 tff(27572,plain,
% 15.00/11.10 (~((~v39(constB183)) | (~v9(constB183)))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27571, 27561])).
% 15.00/11.10 tff(27573,plain,
% 15.00/11.10 ((~(v184(constB183) <=> (~((~v39(constB183)) | (~v9(constB183)))))) | v184(constB183) | ((~v39(constB183)) | (~v9(constB183)))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27574,plain,
% 15.00/11.10 (v184(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27573, 27572, 27521])).
% 15.00/11.10 tff(27575,plain,
% 15.00/11.10 ((v184(constB183) | v26(constB183)) | (~v184(constB183))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27576,plain,
% 15.00/11.10 (v184(constB183) | v26(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27575, 27574])).
% 15.00/11.10 tff(27577,plain,
% 15.00/11.10 ((~(v183(constB183) <=> (v184(constB183) | v26(constB183)))) | v183(constB183) | (~(v184(constB183) | v26(constB183)))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27578,plain,
% 15.00/11.10 (v183(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27577, 27576, 27519])).
% 15.00/11.10 tff(27579,plain,
% 15.00/11.10 ((~((~v182(constB183)) <=> v183(constB183))) | (~v182(constB183)) | (~v183(constB183))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27580,plain,
% 15.00/11.10 (~v182(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27579, 27578, 27517])).
% 15.00/11.10 tff(27581,plain,
% 15.00/11.10 (((~v158(constB183)) | (~v182(constB183))) | v182(constB183)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27582,plain,
% 15.00/11.10 ((~v158(constB183)) | (~v182(constB183))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27581, 27580])).
% 15.00/11.10 tff(27583,plain,
% 15.00/11.10 ((~(v181(constB183) <=> (~((~v158(constB183)) | (~v182(constB183)))))) | (~v181(constB183)) | (~((~v158(constB183)) | (~v182(constB183))))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27584,plain,
% 15.00/11.10 (~v181(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27583, 27582, 27515])).
% 15.00/11.10 tff(27585,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB183) <=> (~((~v186(constB183)) | (~v187(constB183)))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27586,plain,
% 15.00/11.10 (v185(constB183) <=> (~((~v186(constB183)) | (~v187(constB183))))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27585, 396])).
% 15.00/11.10 tff(27587,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB183) <=> (~((~v184(constB183)) | (~v160(constB183)))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27588,plain,
% 15.00/11.10 (v187(constB183) <=> (~((~v184(constB183)) | (~v160(constB183))))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27587, 408])).
% 15.00/11.10 tff(27589,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB183) <=> v162(constB183))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27590,plain,
% 15.00/11.10 (v160(constB183) <=> v162(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27589, 549])).
% 15.00/11.10 tff(27591,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB183) <=> (v139(constB183) | v140(constB183)))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27592,plain,
% 15.00/11.10 (v170(constB183) <=> (v139(constB183) | v140(constB183))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27591, 2216])).
% 15.00/11.10 tff(27593,plain,
% 15.00/11.10 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0))))))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27594,plain,
% 15.00/11.10 ((v140(constB183) <=> (~(v88(constB183, bitIndex1) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0))))) <=> (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27595,plain,
% 15.00/11.10 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex1) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0))))))),
% 15.00/11.10 inference(monotonicity,[status(thm)],[27594])).
% 15.00/11.10 tff(27596,plain,
% 15.00/11.10 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex1) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0))))))),
% 15.00/11.10 inference(transitivity,[status(thm)],[27595, 27593])).
% 15.00/11.10 tff(27597,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex1) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27598,plain,
% 15.00/11.10 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))))),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 15.00/11.10 tff(27599,plain,
% 15.00/11.10 (v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0))))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27598, 2250])).
% 15.00/11.10 tff(27600,plain,
% 15.00/11.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB183, bitIndex2) <=> v90(constB183, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB183, bitIndex2) <=> v90(constB183, bitIndex2)))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27601,plain,
% 15.00/11.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB183, bitIndex2) <=> v90(constB183, bitIndex2)))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27602,plain,
% 15.00/11.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB183, bitIndex2) <=> v90(constB183, bitIndex2))),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27601, 27600])).
% 15.00/11.10 tff(27603,plain,
% 15.00/11.10 (v88(constB183, bitIndex2) <=> v90(constB183, bitIndex2)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27602, 579, 576])).
% 15.00/11.10 tff(27604,plain,
% 15.00/11.10 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27605,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182')).
% 15.00/11.10 tff(27606,plain,
% 15.00/11.10 (nextState(constB182, constB183)),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27605, 27604])).
% 15.00/11.10 tff(27607,plain,
% 15.00/11.10 (((~![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))))))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27608,plain,
% 15.00/11.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27609,plain,
% 15.00/11.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27608, 27607])).
% 15.00/11.10 tff(27610,plain,
% 15.00/11.10 (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27609, 27606, 596])).
% 15.00/11.10 tff(27611,plain,
% 15.00/11.10 (((~![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))))))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27612,plain,
% 15.00/11.10 (((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27613,plain,
% 15.00/11.10 (((~![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)))))))),
% 15.00/11.10 inference(monotonicity,[status(thm)],[27612])).
% 15.00/11.10 tff(27614,plain,
% 15.00/11.10 (((~![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))))))),
% 15.00/11.10 inference(transitivity,[status(thm)],[27613, 27611])).
% 15.00/11.10 tff(27615,plain,
% 15.00/11.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27616,plain,
% 15.00/11.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27615, 27614])).
% 15.00/11.10 tff(27617,plain,
% 15.00/11.10 (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27616, 27606, 616])).
% 15.00/11.10 tff(27618,plain,
% 15.00/11.10 (((~v1(constB183)) | (~v102(constB183))) | v1(constB183)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27619,plain,
% 15.00/11.10 ((~v1(constB183)) | (~v102(constB183))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27618, 27566])).
% 15.00/11.10 tff(27620,plain,
% 15.00/11.10 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183)) | (~((~v1(constB183)) | (~v102(constB183))))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27621,plain,
% 15.00/11.10 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27620, 27619])).
% 15.00/11.10 tff(27622,plain,
% 15.00/11.10 (~v101(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27621, 27617])).
% 15.00/11.10 tff(27623,plain,
% 15.00/11.10 (((~v101(constB183)) | (~v110(constB183))) | v101(constB183)),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27624,plain,
% 15.00/11.10 ((~v101(constB183)) | (~v110(constB183))),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27623, 27622])).
% 15.00/11.10 tff(27625,plain,
% 15.00/11.10 ((~(v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))) | (~v100(constB183)) | (~((~v101(constB183)) | (~v110(constB183))))),
% 15.00/11.10 inference(tautology,[status(thm)],[])).
% 15.00/11.10 tff(27626,plain,
% 15.00/11.10 (~v100(constB183)),
% 15.00/11.10 inference(unit_resolution,[status(thm)],[27625, 27624, 27610])).
% 15.00/11.10 tff(27627,plain,
% 15.00/11.10 (((~![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))))),
% 15.00/11.10 inference(rewrite,[status(thm)],[])).
% 15.00/11.10 tff(27628,plain,
% 15.00/11.10 ((~![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))))),
% 15.00/11.10 inference(quant_inst,[status(thm)],[])).
% 15.00/11.10 tff(27629,plain,
% 15.00/11.10 ((~![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)))),
% 15.00/11.10 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 15.00/11.11 tff(27630,plain,
% 15.00/11.11 (v100(constB183) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27629, 27606, 645])).
% 15.00/11.11 tff(27631,plain,
% 15.00/11.11 (![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27630, 27626])).
% 15.00/11.11 tff(27632,plain,
% 15.00/11.11 (((~![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)))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27633,plain,
% 15.00/11.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27634,plain,
% 15.00/11.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27633, 27632])).
% 15.00/11.11 tff(27635,plain,
% 15.00/11.11 (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27634, 579, 27631])).
% 15.00/11.11 tff(27636,plain,
% 15.00/11.11 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27637,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181')).
% 15.00/11.11 tff(27638,plain,
% 15.00/11.11 (nextState(constB181, constB182)),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 15.00/11.11 tff(27639,plain,
% 15.00/11.11 (((~![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))))))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27640,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27641,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27640, 27639])).
% 15.00/11.11 tff(27642,plain,
% 15.00/11.11 (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27641, 27638, 596])).
% 15.00/11.11 tff(27643,plain,
% 15.00/11.11 (((~![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))))))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27644,plain,
% 15.00/11.11 (((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27645,plain,
% 15.00/11.11 (((~![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)))))))),
% 15.00/11.11 inference(monotonicity,[status(thm)],[27644])).
% 15.00/11.11 tff(27646,plain,
% 15.00/11.11 (((~![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))))))),
% 15.00/11.11 inference(transitivity,[status(thm)],[27645, 27643])).
% 15.00/11.11 tff(27647,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27648,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27647, 27646])).
% 15.00/11.11 tff(27649,plain,
% 15.00/11.11 (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27648, 27638, 616])).
% 15.00/11.11 tff(27650,plain,
% 15.00/11.11 (((~![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)))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27651,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27652,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27651, 27650])).
% 15.00/11.11 tff(27653,plain,
% 15.00/11.11 ((~v102(constB182)) <=> v104(constB182)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27652, 27638, 678])).
% 15.00/11.11 tff(27654,plain,
% 15.00/11.11 (((~![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)))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27655,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27656,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 15.00/11.11 tff(27657,plain,
% 15.00/11.11 (v104(constB182) <=> v1(constB181)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27656, 27638, 692])).
% 15.00/11.11 tff(27658,plain,
% 15.00/11.11 ((~v1(constB181)) <=> (~v1(constB181))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27659,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181')).
% 15.00/11.11 tff(27660,plain,
% 15.00/11.11 (~v1(constB181)),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27659, 27658])).
% 15.00/11.11 tff(27661,plain,
% 15.00/11.11 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182)) | v1(constB181)),
% 15.00/11.11 inference(tautology,[status(thm)],[])).
% 15.00/11.11 tff(27662,plain,
% 15.00/11.11 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27661, 27660])).
% 15.00/11.11 tff(27663,plain,
% 15.00/11.11 (~v104(constB182)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27662, 27657])).
% 15.00/11.11 tff(27664,plain,
% 15.00/11.11 ((~((~v102(constB182)) <=> v104(constB182))) | v102(constB182) | v104(constB182)),
% 15.00/11.11 inference(tautology,[status(thm)],[])).
% 15.00/11.11 tff(27665,plain,
% 15.00/11.11 (v102(constB182)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27664, 27663, 27653])).
% 15.00/11.11 tff(27666,plain,
% 15.00/11.11 (v1(constB182) <=> v1(constB182)),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27667,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182')).
% 15.00/11.11 tff(27668,plain,
% 15.00/11.11 (v1(constB182)),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 15.00/11.11 tff(27669,plain,
% 15.00/11.11 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v1(constB182)) | (~v102(constB182))),
% 15.00/11.11 inference(tautology,[status(thm)],[])).
% 15.00/11.11 tff(27670,plain,
% 15.00/11.11 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v102(constB182))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27669, 27668])).
% 15.00/11.11 tff(27671,plain,
% 15.00/11.11 (~((~v1(constB182)) | (~v102(constB182)))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27670, 27665])).
% 15.00/11.11 tff(27672,plain,
% 15.00/11.11 ((~(v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))) | v101(constB182) | ((~v1(constB182)) | (~v102(constB182)))),
% 15.00/11.11 inference(tautology,[status(thm)],[])).
% 15.00/11.11 tff(27673,plain,
% 15.00/11.11 (v101(constB182)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27672, 27671, 27649])).
% 15.00/11.11 tff(27674,plain,
% 15.00/11.11 (((~![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)))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27675,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27676,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27675, 27674])).
% 15.00/11.11 tff(27677,plain,
% 15.00/11.11 (v110(constB182) <=> v108(constB181)),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27676, 27638, 722])).
% 15.00/11.11 tff(27678,plain,
% 15.00/11.11 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB181) <=> (v111(constB181) | v112(constB181)))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27679,plain,
% 15.00/11.11 (v108(constB181) <=> (v111(constB181) | v112(constB181))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27678, 733])).
% 15.00/11.11 tff(27680,plain,
% 15.00/11.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27681,plain,
% 15.00/11.11 (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181))))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27680, 745])).
% 15.00/11.11 tff(27682,plain,
% 15.00/11.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB181) <=> (v114(constB181) | v125(constB181)))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27683,plain,
% 15.00/11.11 (v113(constB181) <=> (v114(constB181) | v125(constB181))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27682, 754])).
% 15.00/11.11 tff(27684,plain,
% 15.00/11.11 (((~![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)))))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27685,plain,
% 15.00/11.11 ((v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2))))) <=> (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27686,plain,
% 15.00/11.11 (((~![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)))))),
% 15.00/11.11 inference(monotonicity,[status(thm)],[27685])).
% 15.00/11.11 tff(27687,plain,
% 15.00/11.11 (((~![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)))))),
% 15.00/11.11 inference(transitivity,[status(thm)],[27686, 27684])).
% 15.00/11.11 tff(27688,plain,
% 15.00/11.11 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27689,plain,
% 15.00/11.11 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27688, 27687])).
% 15.00/11.11 tff(27690,plain,
% 15.00/11.11 (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))),
% 15.00/11.11 inference(unit_resolution,[status(thm)],[27689, 3458])).
% 15.00/11.11 tff(27691,plain,
% 15.00/11.11 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27692,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180')).
% 15.00/11.11 tff(27693,plain,
% 15.00/11.11 (nextState(constB180, constB181)),
% 15.00/11.11 inference(modus_ponens,[status(thm)],[27692, 27691])).
% 15.00/11.11 tff(27694,plain,
% 15.00/11.11 (((~![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))))))),
% 15.00/11.11 inference(rewrite,[status(thm)],[])).
% 15.00/11.11 tff(27695,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 15.00/11.11 inference(quant_inst,[status(thm)],[])).
% 15.00/11.11 tff(27696,plain,
% 15.00/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 15.00/11.12 tff(27697,plain,
% 15.00/11.12 (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27696, 27693, 596])).
% 15.00/11.12 tff(27698,plain,
% 15.00/11.12 (((~![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))))))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27699,plain,
% 15.00/11.12 (((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27700,plain,
% 15.00/11.12 (((~![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)))))))),
% 15.00/11.12 inference(monotonicity,[status(thm)],[27699])).
% 15.00/11.12 tff(27701,plain,
% 15.00/11.12 (((~![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))))))),
% 15.00/11.12 inference(transitivity,[status(thm)],[27700, 27698])).
% 15.00/11.12 tff(27702,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27703,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27702, 27701])).
% 15.00/11.12 tff(27704,plain,
% 15.00/11.12 (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27703, 27693, 616])).
% 15.00/11.12 tff(27705,plain,
% 15.00/11.12 (((~v1(constB181)) | (~v102(constB181))) | v1(constB181)),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27706,plain,
% 15.00/11.12 ((~v1(constB181)) | (~v102(constB181))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27705, 27660])).
% 15.00/11.12 tff(27707,plain,
% 15.00/11.12 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181)) | (~((~v1(constB181)) | (~v102(constB181))))),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27708,plain,
% 15.00/11.12 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27707, 27706])).
% 15.00/11.12 tff(27709,plain,
% 15.00/11.12 (~v101(constB181)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27708, 27704])).
% 15.00/11.12 tff(27710,plain,
% 15.00/11.12 (((~v101(constB181)) | (~v110(constB181))) | v101(constB181)),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27711,plain,
% 15.00/11.12 ((~v101(constB181)) | (~v110(constB181))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27710, 27709])).
% 15.00/11.12 tff(27712,plain,
% 15.00/11.12 ((~(v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))) | (~v100(constB181)) | (~((~v101(constB181)) | (~v110(constB181))))),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27713,plain,
% 15.00/11.12 (~v100(constB181)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27712, 27711, 27697])).
% 15.00/11.12 tff(27714,plain,
% 15.00/11.12 (((~![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))))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27715,plain,
% 15.00/11.12 ((~![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))))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27716,plain,
% 15.00/11.12 ((~![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)))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 15.00/11.12 tff(27717,plain,
% 15.00/11.12 (v100(constB181) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27716, 27693, 645])).
% 15.00/11.12 tff(27718,plain,
% 15.00/11.12 (![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27717, 27713])).
% 15.00/11.12 tff(27719,plain,
% 15.00/11.12 (((~![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)))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27720,plain,
% 15.00/11.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27721,plain,
% 15.00/11.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27720, 27719])).
% 15.00/11.12 tff(27722,plain,
% 15.00/11.12 (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27721, 579, 27718])).
% 15.00/11.12 tff(27723,plain,
% 15.00/11.12 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27724,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179')).
% 15.00/11.12 tff(27725,plain,
% 15.00/11.12 (nextState(constB179, constB180)),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27724, 27723])).
% 15.00/11.12 tff(27726,plain,
% 15.00/11.12 (((~![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))))))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27727,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27728,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27727, 27726])).
% 15.00/11.12 tff(27729,plain,
% 15.00/11.12 (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27728, 27725, 596])).
% 15.00/11.12 tff(27730,plain,
% 15.00/11.12 (((~![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))))))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27731,plain,
% 15.00/11.12 (((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27732,plain,
% 15.00/11.12 (((~![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)))))))),
% 15.00/11.12 inference(monotonicity,[status(thm)],[27731])).
% 15.00/11.12 tff(27733,plain,
% 15.00/11.12 (((~![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))))))),
% 15.00/11.12 inference(transitivity,[status(thm)],[27732, 27730])).
% 15.00/11.12 tff(27734,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27735,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27734, 27733])).
% 15.00/11.12 tff(27736,plain,
% 15.00/11.12 (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27735, 27725, 616])).
% 15.00/11.12 tff(27737,plain,
% 15.00/11.12 (((~![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)))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27738,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27739,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27738, 27737])).
% 15.00/11.12 tff(27740,plain,
% 15.00/11.12 ((~v102(constB180)) <=> v104(constB180)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27739, 27725, 678])).
% 15.00/11.12 tff(27741,plain,
% 15.00/11.12 (((~![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)))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27742,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27743,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27742, 27741])).
% 15.00/11.12 tff(27744,plain,
% 15.00/11.12 (v104(constB180) <=> v1(constB179)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27743, 27725, 692])).
% 15.00/11.12 tff(27745,plain,
% 15.00/11.12 ((~v1(constB179)) <=> (~v1(constB179))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27746,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179')).
% 15.00/11.12 tff(27747,plain,
% 15.00/11.12 (~v1(constB179)),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27746, 27745])).
% 15.00/11.12 tff(27748,plain,
% 15.00/11.12 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180)) | v1(constB179)),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27749,plain,
% 15.00/11.12 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27748, 27747])).
% 15.00/11.12 tff(27750,plain,
% 15.00/11.12 (~v104(constB180)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27749, 27744])).
% 15.00/11.12 tff(27751,plain,
% 15.00/11.12 ((~((~v102(constB180)) <=> v104(constB180))) | v102(constB180) | v104(constB180)),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27752,plain,
% 15.00/11.12 (v102(constB180)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27751, 27750, 27740])).
% 15.00/11.12 tff(27753,plain,
% 15.00/11.12 (v1(constB180) <=> v1(constB180)),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27754,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180')).
% 15.00/11.12 tff(27755,plain,
% 15.00/11.12 (v1(constB180)),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27754, 27753])).
% 15.00/11.12 tff(27756,plain,
% 15.00/11.12 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v1(constB180)) | (~v102(constB180))),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27757,plain,
% 15.00/11.12 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v102(constB180))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27756, 27755])).
% 15.00/11.12 tff(27758,plain,
% 15.00/11.12 (~((~v1(constB180)) | (~v102(constB180)))),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27757, 27752])).
% 15.00/11.12 tff(27759,plain,
% 15.00/11.12 ((~(v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))) | v101(constB180) | ((~v1(constB180)) | (~v102(constB180)))),
% 15.00/11.12 inference(tautology,[status(thm)],[])).
% 15.00/11.12 tff(27760,plain,
% 15.00/11.12 (v101(constB180)),
% 15.00/11.12 inference(unit_resolution,[status(thm)],[27759, 27758, 27736])).
% 15.00/11.12 tff(27761,plain,
% 15.00/11.12 (((~![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)))),
% 15.00/11.12 inference(rewrite,[status(thm)],[])).
% 15.00/11.12 tff(27762,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 15.00/11.12 inference(quant_inst,[status(thm)],[])).
% 15.00/11.12 tff(27763,plain,
% 15.00/11.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179))),
% 15.00/11.12 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 15.00/11.13 tff(27764,plain,
% 15.00/11.13 (v110(constB180) <=> v108(constB179)),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27763, 27725, 722])).
% 15.00/11.13 tff(27765,plain,
% 15.00/11.13 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB179) <=> (v111(constB179) | v112(constB179)))),
% 15.00/11.13 inference(quant_inst,[status(thm)],[])).
% 15.00/11.13 tff(27766,plain,
% 15.00/11.13 (v108(constB179) <=> (v111(constB179) | v112(constB179))),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27765, 733])).
% 15.00/11.13 tff(27767,plain,
% 15.00/11.13 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))),
% 15.00/11.13 inference(quant_inst,[status(thm)],[])).
% 15.00/11.13 tff(27768,plain,
% 15.00/11.13 (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179))))),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27767, 745])).
% 15.00/11.13 tff(27769,plain,
% 15.00/11.13 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB179) <=> (v114(constB179) | v125(constB179)))),
% 15.00/11.13 inference(quant_inst,[status(thm)],[])).
% 15.00/11.13 tff(27770,plain,
% 15.00/11.13 (v113(constB179) <=> (v114(constB179) | v125(constB179))),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27769, 754])).
% 15.00/11.13 tff(27771,plain,
% 15.00/11.13 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB179) <=> (v115(constB179) | v124(constB179)))),
% 15.00/11.13 inference(quant_inst,[status(thm)],[])).
% 15.00/11.13 tff(27772,plain,
% 15.00/11.13 (v114(constB179) <=> (v115(constB179) | v124(constB179))),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27771, 763])).
% 15.00/11.13 tff(27773,plain,
% 15.00/11.13 (((~![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))))))),
% 15.00/11.13 inference(rewrite,[status(thm)],[])).
% 15.00/11.13 tff(27774,plain,
% 15.00/11.13 ((v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2))))) <=> (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))),
% 15.00/11.13 inference(rewrite,[status(thm)],[])).
% 15.00/11.13 tff(27775,plain,
% 15.00/11.13 (((~![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))))))),
% 15.00/11.13 inference(monotonicity,[status(thm)],[27774])).
% 15.00/11.13 tff(27776,plain,
% 15.00/11.13 (((~![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))))))),
% 15.00/11.13 inference(transitivity,[status(thm)],[27775, 27773])).
% 15.00/11.13 tff(27777,plain,
% 15.00/11.13 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))),
% 15.00/11.13 inference(quant_inst,[status(thm)],[])).
% 15.00/11.13 tff(27778,plain,
% 15.00/11.13 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))),
% 15.00/11.13 inference(modus_ponens,[status(thm)],[27777, 27776])).
% 15.00/11.13 tff(27779,plain,
% 15.00/11.13 (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))))),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27778, 2651])).
% 15.00/11.13 tff(27780,plain,
% 15.00/11.13 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 15.00/11.13 inference(rewrite,[status(thm)],[])).
% 15.00/11.13 tff(27781,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178')).
% 15.00/11.13 tff(27782,plain,
% 15.00/11.13 (nextState(constB178, constB179)),
% 15.00/11.13 inference(modus_ponens,[status(thm)],[27781, 27780])).
% 15.00/11.13 tff(27783,plain,
% 15.00/11.13 (((~![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))))))),
% 15.00/11.13 inference(rewrite,[status(thm)],[])).
% 15.00/11.13 tff(27784,plain,
% 15.00/11.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 15.00/11.13 inference(quant_inst,[status(thm)],[])).
% 15.00/11.13 tff(27785,plain,
% 15.00/11.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))),
% 15.00/11.13 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 15.00/11.13 tff(27786,plain,
% 15.00/11.13 (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))),
% 15.00/11.13 inference(unit_resolution,[status(thm)],[27785, 27782, 596])).
% 15.00/11.13 tff(27787,plain,
% 15.00/11.13 (((~![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))))))),
% 15.00/11.13 inference(rewrite,[status(thm)],[])).
% 15.00/11.13 tff(27788,plain,
% 15.00/11.13 (((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 15.00/11.13 inference(rewrite,[status(thm)],[])).
% 15.00/11.13 tff(27789,plain,
% 15.00/11.13 (((~![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)))))))),
% 15.00/11.13 inference(monotonicity,[status(thm)],[27788])).
% 15.00/11.13 tff(27790,plain,
% 15.00/11.13 (((~![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))))))),
% 15.00/11.13 inference(transitivity,[status(thm)],[27789, 27787])).
% 15.00/11.13 tff(27791,plain,
% 15.00/11.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))),
% 15.08/11.13 inference(quant_inst,[status(thm)],[])).
% 15.08/11.13 tff(27792,plain,
% 15.08/11.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))),
% 15.08/11.13 inference(modus_ponens,[status(thm)],[27791, 27790])).
% 15.08/11.13 tff(27793,plain,
% 15.08/11.13 (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27792, 27782, 616])).
% 15.08/11.13 tff(27794,plain,
% 15.08/11.13 (((~v1(constB179)) | (~v102(constB179))) | v1(constB179)),
% 15.08/11.13 inference(tautology,[status(thm)],[])).
% 15.08/11.13 tff(27795,plain,
% 15.08/11.13 ((~v1(constB179)) | (~v102(constB179))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27794, 27747])).
% 15.08/11.13 tff(27796,plain,
% 15.08/11.13 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179)) | (~((~v1(constB179)) | (~v102(constB179))))),
% 15.08/11.13 inference(tautology,[status(thm)],[])).
% 15.08/11.13 tff(27797,plain,
% 15.08/11.13 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27796, 27795])).
% 15.08/11.13 tff(27798,plain,
% 15.08/11.13 (~v101(constB179)),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27797, 27793])).
% 15.08/11.13 tff(27799,plain,
% 15.08/11.13 (((~v101(constB179)) | (~v110(constB179))) | v101(constB179)),
% 15.08/11.13 inference(tautology,[status(thm)],[])).
% 15.08/11.13 tff(27800,plain,
% 15.08/11.13 ((~v101(constB179)) | (~v110(constB179))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27799, 27798])).
% 15.08/11.13 tff(27801,plain,
% 15.08/11.13 ((~(v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))) | (~v100(constB179)) | (~((~v101(constB179)) | (~v110(constB179))))),
% 15.08/11.13 inference(tautology,[status(thm)],[])).
% 15.08/11.13 tff(27802,plain,
% 15.08/11.13 (~v100(constB179)),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27801, 27800, 27786])).
% 15.08/11.13 tff(27803,plain,
% 15.08/11.13 (((~![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))))),
% 15.08/11.13 inference(rewrite,[status(thm)],[])).
% 15.08/11.13 tff(27804,plain,
% 15.08/11.13 ((~![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))))),
% 15.08/11.13 inference(quant_inst,[status(thm)],[])).
% 15.08/11.13 tff(27805,plain,
% 15.08/11.13 ((~![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)))),
% 15.08/11.13 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 15.08/11.13 tff(27806,plain,
% 15.08/11.13 (v100(constB179) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27805, 27782, 645])).
% 15.08/11.13 tff(27807,plain,
% 15.08/11.13 (![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27806, 27802])).
% 15.08/11.13 tff(27808,plain,
% 15.08/11.13 (((~![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)))),
% 15.08/11.13 inference(rewrite,[status(thm)],[])).
% 15.08/11.13 tff(27809,plain,
% 15.08/11.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))),
% 15.08/11.13 inference(quant_inst,[status(thm)],[])).
% 15.08/11.13 tff(27810,plain,
% 15.08/11.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2))),
% 15.08/11.13 inference(modus_ponens,[status(thm)],[27809, 27808])).
% 15.08/11.13 tff(27811,plain,
% 15.08/11.13 (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27810, 579, 27807])).
% 15.08/11.13 tff(27812,plain,
% 15.08/11.13 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 15.08/11.13 inference(rewrite,[status(thm)],[])).
% 15.08/11.13 tff(27813,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177')).
% 15.08/11.13 tff(27814,plain,
% 15.08/11.13 (nextState(constB177, constB178)),
% 15.08/11.13 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 15.08/11.13 tff(27815,plain,
% 15.08/11.13 (((~![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))))))),
% 15.08/11.13 inference(rewrite,[status(thm)],[])).
% 15.08/11.13 tff(27816,plain,
% 15.08/11.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 15.08/11.13 inference(quant_inst,[status(thm)],[])).
% 15.08/11.13 tff(27817,plain,
% 15.08/11.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))),
% 15.08/11.13 inference(modus_ponens,[status(thm)],[27816, 27815])).
% 15.08/11.13 tff(27818,plain,
% 15.08/11.13 (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))),
% 15.08/11.13 inference(unit_resolution,[status(thm)],[27817, 27814, 596])).
% 15.08/11.13 tff(27819,plain,
% 15.08/11.13 (((~![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))))))),
% 15.08/11.13 inference(rewrite,[status(thm)],[])).
% 15.08/11.13 tff(27820,plain,
% 15.08/11.13 (((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 15.08/11.13 inference(rewrite,[status(thm)],[])).
% 15.08/11.13 tff(27821,plain,
% 15.08/11.13 (((~![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)))))))),
% 15.08/11.13 inference(monotonicity,[status(thm)],[27820])).
% 15.08/11.13 tff(27822,plain,
% 15.08/11.13 (((~![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))))))),
% 15.08/11.13 inference(transitivity,[status(thm)],[27821, 27819])).
% 15.08/11.13 tff(27823,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27824,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 15.08/11.14 tff(27825,plain,
% 15.08/11.14 (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27824, 27814, 616])).
% 15.08/11.14 tff(27826,plain,
% 15.08/11.14 (((~![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)))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27827,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27828,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27827, 27826])).
% 15.08/11.14 tff(27829,plain,
% 15.08/11.14 ((~v102(constB178)) <=> v104(constB178)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27828, 27814, 678])).
% 15.08/11.14 tff(27830,plain,
% 15.08/11.14 (((~![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)))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27831,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27832,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27831, 27830])).
% 15.08/11.14 tff(27833,plain,
% 15.08/11.14 (v104(constB178) <=> v1(constB177)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27832, 27814, 692])).
% 15.08/11.14 tff(27834,plain,
% 15.08/11.14 ((~v1(constB177)) <=> (~v1(constB177))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27835,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177')).
% 15.08/11.14 tff(27836,plain,
% 15.08/11.14 (~v1(constB177)),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27835, 27834])).
% 15.08/11.14 tff(27837,plain,
% 15.08/11.14 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178)) | v1(constB177)),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27838,plain,
% 15.08/11.14 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27837, 27836])).
% 15.08/11.14 tff(27839,plain,
% 15.08/11.14 (~v104(constB178)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27838, 27833])).
% 15.08/11.14 tff(27840,plain,
% 15.08/11.14 ((~((~v102(constB178)) <=> v104(constB178))) | v102(constB178) | v104(constB178)),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27841,plain,
% 15.08/11.14 (v102(constB178)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27840, 27839, 27829])).
% 15.08/11.14 tff(27842,plain,
% 15.08/11.14 (v1(constB178) <=> v1(constB178)),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27843,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178')).
% 15.08/11.14 tff(27844,plain,
% 15.08/11.14 (v1(constB178)),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27843, 27842])).
% 15.08/11.14 tff(27845,plain,
% 15.08/11.14 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v1(constB178)) | (~v102(constB178))),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27846,plain,
% 15.08/11.14 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v102(constB178))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27845, 27844])).
% 15.08/11.14 tff(27847,plain,
% 15.08/11.14 (~((~v1(constB178)) | (~v102(constB178)))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27846, 27841])).
% 15.08/11.14 tff(27848,plain,
% 15.08/11.14 ((~(v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))) | v101(constB178) | ((~v1(constB178)) | (~v102(constB178)))),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27849,plain,
% 15.08/11.14 (v101(constB178)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27848, 27847, 27825])).
% 15.08/11.14 tff(27850,plain,
% 15.08/11.14 (((~![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)))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27851,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27852,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 15.08/11.14 tff(27853,plain,
% 15.08/11.14 (v110(constB178) <=> v108(constB177)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27852, 27814, 722])).
% 15.08/11.14 tff(27854,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB177) <=> (v111(constB177) | v112(constB177)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27855,plain,
% 15.08/11.14 (v108(constB177) <=> (v111(constB177) | v112(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27854, 733])).
% 15.08/11.14 tff(27856,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27857,plain,
% 15.08/11.14 (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177))))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27856, 745])).
% 15.08/11.14 tff(27858,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB177) <=> (v114(constB177) | v125(constB177)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27859,plain,
% 15.08/11.14 (v113(constB177) <=> (v114(constB177) | v125(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27858, 754])).
% 15.08/11.14 tff(27860,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB177) <=> (v115(constB177) | v124(constB177)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27861,plain,
% 15.08/11.14 (v114(constB177) <=> (v115(constB177) | v124(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27860, 763])).
% 15.08/11.14 tff(27862,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB177) <=> (v116(constB177) | v123(constB177)))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27863,plain,
% 15.08/11.14 (v115(constB177) <=> (v116(constB177) | v123(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27862, 772])).
% 15.08/11.14 tff(27864,plain,
% 15.08/11.14 (((~![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)))))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27865,plain,
% 15.08/11.14 ((v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2))))) <=> (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27866,plain,
% 15.08/11.14 (((~![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)))))),
% 15.08/11.14 inference(monotonicity,[status(thm)],[27865])).
% 15.08/11.14 tff(27867,plain,
% 15.08/11.14 (((~![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)))))),
% 15.08/11.14 inference(transitivity,[status(thm)],[27866, 27864])).
% 15.08/11.14 tff(27868,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27869,plain,
% 15.08/11.14 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 15.08/11.14 tff(27870,plain,
% 15.08/11.14 (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27869, 787])).
% 15.08/11.14 tff(27871,plain,
% 15.08/11.14 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27872,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176')).
% 15.08/11.14 tff(27873,plain,
% 15.08/11.14 (nextState(constB176, constB177)),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27872, 27871])).
% 15.08/11.14 tff(27874,plain,
% 15.08/11.14 (((~![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))))))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27875,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27876,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27875, 27874])).
% 15.08/11.14 tff(27877,plain,
% 15.08/11.14 (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27876, 27873, 596])).
% 15.08/11.14 tff(27878,plain,
% 15.08/11.14 (((~![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))))))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27879,plain,
% 15.08/11.14 (((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 15.08/11.14 inference(rewrite,[status(thm)],[])).
% 15.08/11.14 tff(27880,plain,
% 15.08/11.14 (((~![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)))))))),
% 15.08/11.14 inference(monotonicity,[status(thm)],[27879])).
% 15.08/11.14 tff(27881,plain,
% 15.08/11.14 (((~![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))))))),
% 15.08/11.14 inference(transitivity,[status(thm)],[27880, 27878])).
% 15.08/11.14 tff(27882,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))),
% 15.08/11.14 inference(quant_inst,[status(thm)],[])).
% 15.08/11.14 tff(27883,plain,
% 15.08/11.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))),
% 15.08/11.14 inference(modus_ponens,[status(thm)],[27882, 27881])).
% 15.08/11.14 tff(27884,plain,
% 15.08/11.14 (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27883, 27873, 616])).
% 15.08/11.14 tff(27885,plain,
% 15.08/11.14 (((~v1(constB177)) | (~v102(constB177))) | v1(constB177)),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27886,plain,
% 15.08/11.14 ((~v1(constB177)) | (~v102(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27885, 27836])).
% 15.08/11.14 tff(27887,plain,
% 15.08/11.14 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177)) | (~((~v1(constB177)) | (~v102(constB177))))),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27888,plain,
% 15.08/11.14 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27887, 27886])).
% 15.08/11.14 tff(27889,plain,
% 15.08/11.14 (~v101(constB177)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27888, 27884])).
% 15.08/11.14 tff(27890,plain,
% 15.08/11.14 (((~v101(constB177)) | (~v110(constB177))) | v101(constB177)),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27891,plain,
% 15.08/11.14 ((~v101(constB177)) | (~v110(constB177))),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27890, 27889])).
% 15.08/11.14 tff(27892,plain,
% 15.08/11.14 ((~(v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))) | (~v100(constB177)) | (~((~v101(constB177)) | (~v110(constB177))))),
% 15.08/11.14 inference(tautology,[status(thm)],[])).
% 15.08/11.14 tff(27893,plain,
% 15.08/11.14 (~v100(constB177)),
% 15.08/11.14 inference(unit_resolution,[status(thm)],[27892, 27891, 27877])).
% 15.08/11.14 tff(27894,plain,
% 15.08/11.14 (((~![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))))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27895,plain,
% 15.08/11.15 ((~![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))))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27896,plain,
% 15.08/11.15 ((~![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)))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 15.08/11.15 tff(27897,plain,
% 15.08/11.15 (v100(constB177) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27896, 27873, 645])).
% 15.08/11.15 tff(27898,plain,
% 15.08/11.15 (![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27897, 27893])).
% 15.08/11.15 tff(27899,plain,
% 15.08/11.15 (((~![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)))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27900,plain,
% 15.08/11.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27901,plain,
% 15.08/11.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27900, 27899])).
% 15.08/11.15 tff(27902,plain,
% 15.08/11.15 (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27901, 579, 27898])).
% 15.08/11.15 tff(27903,plain,
% 15.08/11.15 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27904,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175')).
% 15.08/11.15 tff(27905,plain,
% 15.08/11.15 (nextState(constB175, constB176)),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27904, 27903])).
% 15.08/11.15 tff(27906,plain,
% 15.08/11.15 (((~![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))))))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27907,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27908,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27907, 27906])).
% 15.08/11.15 tff(27909,plain,
% 15.08/11.15 (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27908, 27905, 596])).
% 15.08/11.15 tff(27910,plain,
% 15.08/11.15 (((~![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))))))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27911,plain,
% 15.08/11.15 (((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27912,plain,
% 15.08/11.15 (((~![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)))))))),
% 15.08/11.15 inference(monotonicity,[status(thm)],[27911])).
% 15.08/11.15 tff(27913,plain,
% 15.08/11.15 (((~![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))))))),
% 15.08/11.15 inference(transitivity,[status(thm)],[27912, 27910])).
% 15.08/11.15 tff(27914,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27915,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27914, 27913])).
% 15.08/11.15 tff(27916,plain,
% 15.08/11.15 (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27915, 27905, 616])).
% 15.08/11.15 tff(27917,plain,
% 15.08/11.15 (((~![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)))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27918,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27919,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 15.08/11.15 tff(27920,plain,
% 15.08/11.15 ((~v102(constB176)) <=> v104(constB176)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27919, 27905, 678])).
% 15.08/11.15 tff(27921,plain,
% 15.08/11.15 (((~![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)))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27922,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27923,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27922, 27921])).
% 15.08/11.15 tff(27924,plain,
% 15.08/11.15 (v104(constB176) <=> v1(constB175)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27923, 27905, 692])).
% 15.08/11.15 tff(27925,plain,
% 15.08/11.15 ((~v1(constB175)) <=> (~v1(constB175))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27926,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175')).
% 15.08/11.15 tff(27927,plain,
% 15.08/11.15 (~v1(constB175)),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 15.08/11.15 tff(27928,plain,
% 15.08/11.15 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176)) | v1(constB175)),
% 15.08/11.15 inference(tautology,[status(thm)],[])).
% 15.08/11.15 tff(27929,plain,
% 15.08/11.15 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27928, 27927])).
% 15.08/11.15 tff(27930,plain,
% 15.08/11.15 (~v104(constB176)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27929, 27924])).
% 15.08/11.15 tff(27931,plain,
% 15.08/11.15 ((~((~v102(constB176)) <=> v104(constB176))) | v102(constB176) | v104(constB176)),
% 15.08/11.15 inference(tautology,[status(thm)],[])).
% 15.08/11.15 tff(27932,plain,
% 15.08/11.15 (v102(constB176)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27931, 27930, 27920])).
% 15.08/11.15 tff(27933,plain,
% 15.08/11.15 (v1(constB176) <=> v1(constB176)),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27934,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176')).
% 15.08/11.15 tff(27935,plain,
% 15.08/11.15 (v1(constB176)),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27934, 27933])).
% 15.08/11.15 tff(27936,plain,
% 15.08/11.15 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v1(constB176)) | (~v102(constB176))),
% 15.08/11.15 inference(tautology,[status(thm)],[])).
% 15.08/11.15 tff(27937,plain,
% 15.08/11.15 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v102(constB176))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27936, 27935])).
% 15.08/11.15 tff(27938,plain,
% 15.08/11.15 (~((~v1(constB176)) | (~v102(constB176)))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27937, 27932])).
% 15.08/11.15 tff(27939,plain,
% 15.08/11.15 ((~(v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))) | v101(constB176) | ((~v1(constB176)) | (~v102(constB176)))),
% 15.08/11.15 inference(tautology,[status(thm)],[])).
% 15.08/11.15 tff(27940,plain,
% 15.08/11.15 (v101(constB176)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27939, 27938, 27916])).
% 15.08/11.15 tff(27941,plain,
% 15.08/11.15 (((~![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)))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27942,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27943,plain,
% 15.08/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175))),
% 15.08/11.15 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 15.08/11.15 tff(27944,plain,
% 15.08/11.15 (v110(constB176) <=> v108(constB175)),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27943, 27905, 722])).
% 15.08/11.15 tff(27945,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB175) <=> (v111(constB175) | v112(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27946,plain,
% 15.08/11.15 (v108(constB175) <=> (v111(constB175) | v112(constB175))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27945, 733])).
% 15.08/11.15 tff(27947,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27948,plain,
% 15.08/11.15 (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175))))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27947, 745])).
% 15.08/11.15 tff(27949,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB175) <=> (v114(constB175) | v125(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27950,plain,
% 15.08/11.15 (v113(constB175) <=> (v114(constB175) | v125(constB175))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27949, 754])).
% 15.08/11.15 tff(27951,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB175) <=> (v115(constB175) | v124(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27952,plain,
% 15.08/11.15 (v114(constB175) <=> (v115(constB175) | v124(constB175))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27951, 763])).
% 15.08/11.15 tff(27953,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB175) <=> (v116(constB175) | v123(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27954,plain,
% 15.08/11.15 (v115(constB175) <=> (v116(constB175) | v123(constB175))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27953, 772])).
% 15.08/11.15 tff(27955,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB175) <=> (v117(constB175) | v122(constB175)))),
% 15.08/11.15 inference(quant_inst,[status(thm)],[])).
% 15.08/11.15 tff(27956,plain,
% 15.08/11.15 (v116(constB175) <=> (v117(constB175) | v122(constB175))),
% 15.08/11.15 inference(unit_resolution,[status(thm)],[27955, 885])).
% 15.08/11.15 tff(27957,plain,
% 15.08/11.15 (((~![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))))))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27958,plain,
% 15.08/11.15 ((v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1))))) <=> (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 15.08/11.15 inference(rewrite,[status(thm)],[])).
% 15.08/11.15 tff(27959,plain,
% 15.08/11.15 (((~![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))))))),
% 15.08/11.15 inference(monotonicity,[status(thm)],[27958])).
% 15.08/11.15 tff(27960,plain,
% 15.08/11.15 (((~![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))))))),
% 15.08/11.15 inference(transitivity,[status(thm)],[27959, 27957])).
% 15.08/11.15 tff(27961,plain,
% 15.08/11.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(27962,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27961, 27960])).
% 15.08/11.16 tff(27963,plain,
% 15.08/11.16 (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27962, 900])).
% 15.08/11.16 tff(27964,plain,
% 15.08/11.16 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27965,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174')).
% 15.08/11.16 tff(27966,plain,
% 15.08/11.16 (nextState(constB174, constB175)),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27965, 27964])).
% 15.08/11.16 tff(27967,plain,
% 15.08/11.16 (((~![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))))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27968,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(27969,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27968, 27967])).
% 15.08/11.16 tff(27970,plain,
% 15.08/11.16 (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27969, 27966, 596])).
% 15.08/11.16 tff(27971,plain,
% 15.08/11.16 (((~![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))))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27972,plain,
% 15.08/11.16 (((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27973,plain,
% 15.08/11.16 (((~![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)))))))),
% 15.08/11.16 inference(monotonicity,[status(thm)],[27972])).
% 15.08/11.16 tff(27974,plain,
% 15.08/11.16 (((~![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))))))),
% 15.08/11.16 inference(transitivity,[status(thm)],[27973, 27971])).
% 15.08/11.16 tff(27975,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(27976,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27975, 27974])).
% 15.08/11.16 tff(27977,plain,
% 15.08/11.16 (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27976, 27966, 616])).
% 15.08/11.16 tff(27978,plain,
% 15.08/11.16 (((~v1(constB175)) | (~v102(constB175))) | v1(constB175)),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(27979,plain,
% 15.08/11.16 ((~v1(constB175)) | (~v102(constB175))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27978, 27927])).
% 15.08/11.16 tff(27980,plain,
% 15.08/11.16 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175)) | (~((~v1(constB175)) | (~v102(constB175))))),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(27981,plain,
% 15.08/11.16 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27980, 27979])).
% 15.08/11.16 tff(27982,plain,
% 15.08/11.16 (~v101(constB175)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27981, 27977])).
% 15.08/11.16 tff(27983,plain,
% 15.08/11.16 (((~v101(constB175)) | (~v110(constB175))) | v101(constB175)),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(27984,plain,
% 15.08/11.16 ((~v101(constB175)) | (~v110(constB175))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27983, 27982])).
% 15.08/11.16 tff(27985,plain,
% 15.08/11.16 ((~(v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))) | (~v100(constB175)) | (~((~v101(constB175)) | (~v110(constB175))))),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(27986,plain,
% 15.08/11.16 (~v100(constB175)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27985, 27984, 27970])).
% 15.08/11.16 tff(27987,plain,
% 15.08/11.16 (((~![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))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27988,plain,
% 15.08/11.16 ((~![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))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(27989,plain,
% 15.08/11.16 ((~![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)))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27988, 27987])).
% 15.08/11.16 tff(27990,plain,
% 15.08/11.16 (v100(constB175) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27989, 27966, 645])).
% 15.08/11.16 tff(27991,plain,
% 15.08/11.16 (![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27990, 27986])).
% 15.08/11.16 tff(27992,plain,
% 15.08/11.16 (((~![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)))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27993,plain,
% 15.08/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(27994,plain,
% 15.08/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27993, 27992])).
% 15.08/11.16 tff(27995,plain,
% 15.08/11.16 (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[27994, 579, 27991])).
% 15.08/11.16 tff(27996,plain,
% 15.08/11.16 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(27997,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173')).
% 15.08/11.16 tff(27998,plain,
% 15.08/11.16 (nextState(constB173, constB174)),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[27997, 27996])).
% 15.08/11.16 tff(27999,plain,
% 15.08/11.16 (((~![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))))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28000,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28001,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28000, 27999])).
% 15.08/11.16 tff(28002,plain,
% 15.08/11.16 (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28001, 27998, 596])).
% 15.08/11.16 tff(28003,plain,
% 15.08/11.16 (((~![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))))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28004,plain,
% 15.08/11.16 (((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28005,plain,
% 15.08/11.16 (((~![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)))))))),
% 15.08/11.16 inference(monotonicity,[status(thm)],[28004])).
% 15.08/11.16 tff(28006,plain,
% 15.08/11.16 (((~![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))))))),
% 15.08/11.16 inference(transitivity,[status(thm)],[28005, 28003])).
% 15.08/11.16 tff(28007,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28008,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28007, 28006])).
% 15.08/11.16 tff(28009,plain,
% 15.08/11.16 (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28008, 27998, 616])).
% 15.08/11.16 tff(28010,plain,
% 15.08/11.16 (((~![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)))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28011,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28012,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28011, 28010])).
% 15.08/11.16 tff(28013,plain,
% 15.08/11.16 ((~v102(constB174)) <=> v104(constB174)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28012, 27998, 678])).
% 15.08/11.16 tff(28014,plain,
% 15.08/11.16 (((~![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)))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28015,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28016,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28015, 28014])).
% 15.08/11.16 tff(28017,plain,
% 15.08/11.16 (v104(constB174) <=> v1(constB173)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28016, 27998, 692])).
% 15.08/11.16 tff(28018,plain,
% 15.08/11.16 ((~v1(constB173)) <=> (~v1(constB173))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28019,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173')).
% 15.08/11.16 tff(28020,plain,
% 15.08/11.16 (~v1(constB173)),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28019, 28018])).
% 15.08/11.16 tff(28021,plain,
% 15.08/11.16 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174)) | v1(constB173)),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(28022,plain,
% 15.08/11.16 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28021, 28020])).
% 15.08/11.16 tff(28023,plain,
% 15.08/11.16 (~v104(constB174)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28022, 28017])).
% 15.08/11.16 tff(28024,plain,
% 15.08/11.16 ((~((~v102(constB174)) <=> v104(constB174))) | v102(constB174) | v104(constB174)),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(28025,plain,
% 15.08/11.16 (v102(constB174)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28024, 28023, 28013])).
% 15.08/11.16 tff(28026,plain,
% 15.08/11.16 (v1(constB174) <=> v1(constB174)),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28027,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174')).
% 15.08/11.16 tff(28028,plain,
% 15.08/11.16 (v1(constB174)),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28027, 28026])).
% 15.08/11.16 tff(28029,plain,
% 15.08/11.16 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v1(constB174)) | (~v102(constB174))),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(28030,plain,
% 15.08/11.16 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v102(constB174))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28029, 28028])).
% 15.08/11.16 tff(28031,plain,
% 15.08/11.16 (~((~v1(constB174)) | (~v102(constB174)))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28030, 28025])).
% 15.08/11.16 tff(28032,plain,
% 15.08/11.16 ((~(v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))) | v101(constB174) | ((~v1(constB174)) | (~v102(constB174)))),
% 15.08/11.16 inference(tautology,[status(thm)],[])).
% 15.08/11.16 tff(28033,plain,
% 15.08/11.16 (v101(constB174)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28032, 28031, 28009])).
% 15.08/11.16 tff(28034,plain,
% 15.08/11.16 (((~![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)))),
% 15.08/11.16 inference(rewrite,[status(thm)],[])).
% 15.08/11.16 tff(28035,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28036,plain,
% 15.08/11.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173))),
% 15.08/11.16 inference(modus_ponens,[status(thm)],[28035, 28034])).
% 15.08/11.16 tff(28037,plain,
% 15.08/11.16 (v110(constB174) <=> v108(constB173)),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28036, 27998, 722])).
% 15.08/11.16 tff(28038,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB173) <=> (v111(constB173) | v112(constB173)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28039,plain,
% 15.08/11.16 (v108(constB173) <=> (v111(constB173) | v112(constB173))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28038, 733])).
% 15.08/11.16 tff(28040,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28041,plain,
% 15.08/11.16 (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173))))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28040, 745])).
% 15.08/11.16 tff(28042,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB173) <=> (v114(constB173) | v125(constB173)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28043,plain,
% 15.08/11.16 (v113(constB173) <=> (v114(constB173) | v125(constB173))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28042, 754])).
% 15.08/11.16 tff(28044,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB173) <=> (v115(constB173) | v124(constB173)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28045,plain,
% 15.08/11.16 (v114(constB173) <=> (v115(constB173) | v124(constB173))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28044, 763])).
% 15.08/11.16 tff(28046,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB173) <=> (v116(constB173) | v123(constB173)))),
% 15.08/11.16 inference(quant_inst,[status(thm)],[])).
% 15.08/11.16 tff(28047,plain,
% 15.08/11.16 (v115(constB173) <=> (v116(constB173) | v123(constB173))),
% 15.08/11.16 inference(unit_resolution,[status(thm)],[28046, 772])).
% 15.08/11.16 tff(28048,plain,
% 15.08/11.16 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB173) <=> (v117(constB173) | v122(constB173)))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28049,plain,
% 15.08/11.17 (v116(constB173) <=> (v117(constB173) | v122(constB173))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28048, 885])).
% 15.08/11.17 tff(28050,plain,
% 15.08/11.17 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB173) <=> (v118(constB173) | v121(constB173)))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28051,plain,
% 15.08/11.17 (v117(constB173) <=> (v118(constB173) | v121(constB173))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28050, 1000])).
% 15.08/11.17 tff(28052,plain,
% 15.08/11.17 (((~![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)))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28053,plain,
% 15.08/11.17 ((v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1))))) <=> (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28054,plain,
% 15.08/11.17 (((~![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)))))),
% 15.08/11.17 inference(monotonicity,[status(thm)],[28053])).
% 15.08/11.17 tff(28055,plain,
% 15.08/11.17 (((~![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)))))),
% 15.08/11.17 inference(transitivity,[status(thm)],[28054, 28052])).
% 15.08/11.17 tff(28056,plain,
% 15.08/11.17 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28057,plain,
% 15.08/11.17 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))),
% 15.08/11.17 inference(modus_ponens,[status(thm)],[28056, 28055])).
% 15.08/11.17 tff(28058,plain,
% 15.08/11.17 (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28057, 1015])).
% 15.08/11.17 tff(28059,plain,
% 15.08/11.17 (((~![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))))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28060,plain,
% 15.08/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28061,plain,
% 15.08/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))),
% 15.08/11.17 inference(modus_ponens,[status(thm)],[28060, 28059])).
% 15.08/11.17 tff(28062,plain,
% 15.08/11.17 (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28061, 24585, 596])).
% 15.08/11.17 tff(28063,plain,
% 15.08/11.17 (((~![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))))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28064,plain,
% 15.08/11.17 (((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28065,plain,
% 15.08/11.17 (((~![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)))))))),
% 15.08/11.17 inference(monotonicity,[status(thm)],[28064])).
% 15.08/11.17 tff(28066,plain,
% 15.08/11.17 (((~![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))))))),
% 15.08/11.17 inference(transitivity,[status(thm)],[28065, 28063])).
% 15.08/11.17 tff(28067,plain,
% 15.08/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28068,plain,
% 15.08/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))),
% 15.08/11.17 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 15.08/11.17 tff(28069,plain,
% 15.08/11.17 (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28068, 24585, 616])).
% 15.08/11.17 tff(28070,plain,
% 15.08/11.17 (((~v1(constB173)) | (~v102(constB173))) | v1(constB173)),
% 15.08/11.17 inference(tautology,[status(thm)],[])).
% 15.08/11.17 tff(28071,plain,
% 15.08/11.17 ((~v1(constB173)) | (~v102(constB173))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28070, 28020])).
% 15.08/11.17 tff(28072,plain,
% 15.08/11.17 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173)) | (~((~v1(constB173)) | (~v102(constB173))))),
% 15.08/11.17 inference(tautology,[status(thm)],[])).
% 15.08/11.17 tff(28073,plain,
% 15.08/11.17 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28072, 28071])).
% 15.08/11.17 tff(28074,plain,
% 15.08/11.17 (~v101(constB173)),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28073, 28069])).
% 15.08/11.17 tff(28075,plain,
% 15.08/11.17 (((~v101(constB173)) | (~v110(constB173))) | v101(constB173)),
% 15.08/11.17 inference(tautology,[status(thm)],[])).
% 15.08/11.17 tff(28076,plain,
% 15.08/11.17 ((~v101(constB173)) | (~v110(constB173))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28075, 28074])).
% 15.08/11.17 tff(28077,plain,
% 15.08/11.17 ((~(v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))) | (~v100(constB173)) | (~((~v101(constB173)) | (~v110(constB173))))),
% 15.08/11.17 inference(tautology,[status(thm)],[])).
% 15.08/11.17 tff(28078,plain,
% 15.08/11.17 (~v100(constB173)),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28077, 28076, 28062])).
% 15.08/11.17 tff(28079,plain,
% 15.08/11.17 (((~![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))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28080,plain,
% 15.08/11.17 ((~![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))))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28081,plain,
% 15.08/11.17 ((~![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)))),
% 15.08/11.17 inference(modus_ponens,[status(thm)],[28080, 28079])).
% 15.08/11.17 tff(28082,plain,
% 15.08/11.17 (v100(constB173) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28081, 24585, 645])).
% 15.08/11.17 tff(28083,plain,
% 15.08/11.17 (![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28082, 28078])).
% 15.08/11.17 tff(28084,plain,
% 15.08/11.17 (((~![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)))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28085,plain,
% 15.08/11.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28086,plain,
% 15.08/11.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2))),
% 15.08/11.17 inference(modus_ponens,[status(thm)],[28085, 28084])).
% 15.08/11.17 tff(28087,plain,
% 15.08/11.17 (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)),
% 15.08/11.17 inference(unit_resolution,[status(thm)],[28086, 579, 28083])).
% 15.08/11.17 tff(28088,plain,
% 15.08/11.17 (((~![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))))))),
% 15.08/11.17 inference(rewrite,[status(thm)],[])).
% 15.08/11.17 tff(28089,plain,
% 15.08/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 15.08/11.17 inference(quant_inst,[status(thm)],[])).
% 15.08/11.17 tff(28090,plain,
% 15.08/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))),
% 15.12/11.17 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 15.12/11.17 tff(28091,plain,
% 15.12/11.17 (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))),
% 15.12/11.17 inference(unit_resolution,[status(thm)],[28090, 24617, 596])).
% 15.12/11.17 tff(28092,plain,
% 15.12/11.17 (((~![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))))))),
% 15.12/11.17 inference(rewrite,[status(thm)],[])).
% 15.12/11.17 tff(28093,plain,
% 15.12/11.17 (((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 15.12/11.17 inference(rewrite,[status(thm)],[])).
% 15.12/11.17 tff(28094,plain,
% 15.12/11.17 (((~![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)))))))),
% 15.12/11.17 inference(monotonicity,[status(thm)],[28093])).
% 15.12/11.17 tff(28095,plain,
% 15.12/11.17 (((~![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))))))),
% 15.12/11.17 inference(transitivity,[status(thm)],[28094, 28092])).
% 15.12/11.17 tff(28096,plain,
% 15.12/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))),
% 15.12/11.17 inference(quant_inst,[status(thm)],[])).
% 15.12/11.17 tff(28097,plain,
% 15.12/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))),
% 15.12/11.17 inference(modus_ponens,[status(thm)],[28096, 28095])).
% 15.12/11.17 tff(28098,plain,
% 15.12/11.17 (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))),
% 15.12/11.17 inference(unit_resolution,[status(thm)],[28097, 24617, 616])).
% 15.12/11.17 tff(28099,plain,
% 15.12/11.17 (((~![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)))),
% 15.12/11.17 inference(rewrite,[status(thm)],[])).
% 15.12/11.17 tff(28100,plain,
% 15.12/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 15.12/11.17 inference(quant_inst,[status(thm)],[])).
% 15.12/11.17 tff(28101,plain,
% 15.12/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172))),
% 15.12/11.17 inference(modus_ponens,[status(thm)],[28100, 28099])).
% 15.12/11.17 tff(28102,plain,
% 15.12/11.18 ((~v102(constB172)) <=> v104(constB172)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28101, 24617, 678])).
% 15.12/11.18 tff(28103,plain,
% 15.12/11.18 (((~![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)))),
% 15.12/11.18 inference(rewrite,[status(thm)],[])).
% 15.12/11.18 tff(28104,plain,
% 15.12/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28105,plain,
% 15.12/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171))),
% 15.12/11.18 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 15.12/11.18 tff(28106,plain,
% 15.12/11.18 (v104(constB172) <=> v1(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28105, 24617, 692])).
% 15.12/11.18 tff(28107,plain,
% 15.12/11.18 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172)) | v1(constB171)),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28108,plain,
% 15.12/11.18 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28107, 24676])).
% 15.12/11.18 tff(28109,plain,
% 15.12/11.18 (~v104(constB172)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28108, 28106])).
% 15.12/11.18 tff(28110,plain,
% 15.12/11.18 ((~((~v102(constB172)) <=> v104(constB172))) | v102(constB172) | v104(constB172)),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28111,plain,
% 15.12/11.18 (v102(constB172)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28110, 28109, 28102])).
% 15.12/11.18 tff(28112,plain,
% 15.12/11.18 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v1(constB172)) | (~v102(constB172))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28113,plain,
% 15.12/11.18 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v102(constB172))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28112, 24463])).
% 15.12/11.18 tff(28114,plain,
% 15.12/11.18 (~((~v1(constB172)) | (~v102(constB172)))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28113, 28111])).
% 15.12/11.18 tff(28115,plain,
% 15.12/11.18 ((~(v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))) | v101(constB172) | ((~v1(constB172)) | (~v102(constB172)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28116,plain,
% 15.12/11.18 (v101(constB172)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28115, 28114, 28098])).
% 15.12/11.18 tff(28117,plain,
% 15.12/11.18 (((~![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)))),
% 15.12/11.18 inference(rewrite,[status(thm)],[])).
% 15.12/11.18 tff(28118,plain,
% 15.12/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28119,plain,
% 15.12/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171))),
% 15.12/11.18 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 15.12/11.18 tff(28120,plain,
% 15.12/11.18 (v110(constB172) <=> v108(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28119, 24617, 722])).
% 15.12/11.18 tff(28121,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB171) <=> (v111(constB171) | v112(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28122,plain,
% 15.12/11.18 (v108(constB171) <=> (v111(constB171) | v112(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28121, 733])).
% 15.12/11.18 tff(28123,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28124,plain,
% 15.12/11.18 (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171))))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28123, 745])).
% 15.12/11.18 tff(28125,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB171) <=> (v114(constB171) | v125(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28126,plain,
% 15.12/11.18 (v113(constB171) <=> (v114(constB171) | v125(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28125, 754])).
% 15.12/11.18 tff(28127,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB171) <=> (v115(constB171) | v124(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28128,plain,
% 15.12/11.18 (v114(constB171) <=> (v115(constB171) | v124(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28127, 763])).
% 15.12/11.18 tff(28129,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB171) <=> (v116(constB171) | v123(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28130,plain,
% 15.12/11.18 (v115(constB171) <=> (v116(constB171) | v123(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28129, 772])).
% 15.12/11.18 tff(28131,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB171) <=> (v117(constB171) | v122(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28132,plain,
% 15.12/11.18 (v116(constB171) <=> (v117(constB171) | v122(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28131, 885])).
% 15.12/11.18 tff(28133,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB171) <=> (v118(constB171) | v121(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28134,plain,
% 15.12/11.18 (v117(constB171) <=> (v118(constB171) | v121(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28133, 1000])).
% 15.12/11.18 tff(28135,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB171) <=> (v119(constB171) | v120(constB171)))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28136,plain,
% 15.12/11.18 (v118(constB171) <=> (v119(constB171) | v120(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28135, 1117])).
% 15.12/11.18 tff(28137,plain,
% 15.12/11.18 (((~![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))))))),
% 15.12/11.18 inference(rewrite,[status(thm)],[])).
% 15.12/11.18 tff(28138,plain,
% 15.12/11.18 ((v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0))))) <=> (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))),
% 15.12/11.18 inference(rewrite,[status(thm)],[])).
% 15.12/11.18 tff(28139,plain,
% 15.12/11.18 (((~![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))))))),
% 15.12/11.18 inference(monotonicity,[status(thm)],[28138])).
% 15.12/11.18 tff(28140,plain,
% 15.12/11.18 (((~![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))))))),
% 15.12/11.18 inference(transitivity,[status(thm)],[28139, 28137])).
% 15.12/11.18 tff(28141,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28142,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))),
% 15.12/11.18 inference(modus_ponens,[status(thm)],[28141, 28140])).
% 15.12/11.18 tff(28143,plain,
% 15.12/11.18 (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28142, 1132])).
% 15.12/11.18 tff(28144,plain,
% 15.12/11.18 ((~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))) | v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28145,plain,
% 15.12/11.18 (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28144, 26312, 26275, 26238])).
% 15.12/11.18 tff(28146,plain,
% 15.12/11.18 ((~(v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))) | v120(constB171) | (v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28147,plain,
% 15.12/11.18 (v120(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28146, 28145, 28143])).
% 15.12/11.18 tff(28148,plain,
% 15.12/11.18 ((v119(constB171) | v120(constB171)) | (~v120(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28149,plain,
% 15.12/11.18 (v119(constB171) | v120(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28148, 28147])).
% 15.12/11.18 tff(28150,plain,
% 15.12/11.18 ((~(v118(constB171) <=> (v119(constB171) | v120(constB171)))) | v118(constB171) | (~(v119(constB171) | v120(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28151,plain,
% 15.12/11.18 (v118(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28150, 28149, 28136])).
% 15.12/11.18 tff(28152,plain,
% 15.12/11.18 ((v118(constB171) | v121(constB171)) | (~v118(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28153,plain,
% 15.12/11.18 (v118(constB171) | v121(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28152, 28151])).
% 15.12/11.18 tff(28154,plain,
% 15.12/11.18 ((~(v117(constB171) <=> (v118(constB171) | v121(constB171)))) | v117(constB171) | (~(v118(constB171) | v121(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28155,plain,
% 15.12/11.18 (v117(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28154, 28153, 28134])).
% 15.12/11.18 tff(28156,plain,
% 15.12/11.18 ((v117(constB171) | v122(constB171)) | (~v117(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28157,plain,
% 15.12/11.18 (v117(constB171) | v122(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28156, 28155])).
% 15.12/11.18 tff(28158,plain,
% 15.12/11.18 ((~(v116(constB171) <=> (v117(constB171) | v122(constB171)))) | v116(constB171) | (~(v117(constB171) | v122(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28159,plain,
% 15.12/11.18 (v116(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28158, 28157, 28132])).
% 15.12/11.18 tff(28160,plain,
% 15.12/11.18 ((v116(constB171) | v123(constB171)) | (~v116(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28161,plain,
% 15.12/11.18 (v116(constB171) | v123(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28160, 28159])).
% 15.12/11.18 tff(28162,plain,
% 15.12/11.18 ((~(v115(constB171) <=> (v116(constB171) | v123(constB171)))) | v115(constB171) | (~(v116(constB171) | v123(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28163,plain,
% 15.12/11.18 (v115(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28162, 28161, 28130])).
% 15.12/11.18 tff(28164,plain,
% 15.12/11.18 ((v115(constB171) | v124(constB171)) | (~v115(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28165,plain,
% 15.12/11.18 (v115(constB171) | v124(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28164, 28163])).
% 15.12/11.18 tff(28166,plain,
% 15.12/11.18 ((~(v114(constB171) <=> (v115(constB171) | v124(constB171)))) | v114(constB171) | (~(v115(constB171) | v124(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28167,plain,
% 15.12/11.18 (v114(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28166, 28165, 28128])).
% 15.12/11.18 tff(28168,plain,
% 15.12/11.18 ((v114(constB171) | v125(constB171)) | (~v114(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28169,plain,
% 15.12/11.18 (v114(constB171) | v125(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28168, 28167])).
% 15.12/11.18 tff(28170,plain,
% 15.12/11.18 ((~(v113(constB171) <=> (v114(constB171) | v125(constB171)))) | v113(constB171) | (~(v114(constB171) | v125(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28171,plain,
% 15.12/11.18 (v113(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28170, 28169, 28126])).
% 15.12/11.18 tff(28172,plain,
% 15.12/11.18 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB171)) <=> v111(constB171))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28173,plain,
% 15.12/11.18 ((~v126(constB171)) <=> v111(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28172, 1345])).
% 15.12/11.18 tff(28174,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB171) <=> v26(constB171))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28175,plain,
% 15.12/11.18 (v111(constB171) <=> v26(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28174, 1357])).
% 15.12/11.18 tff(28176,plain,
% 15.12/11.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 15.12/11.18 inference(quant_inst,[status(thm)],[])).
% 15.12/11.18 tff(28177,plain,
% 15.12/11.18 (~v26(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28176, 1369])).
% 15.12/11.18 tff(28178,plain,
% 15.12/11.18 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171)) | v26(constB171)),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28179,plain,
% 15.12/11.18 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28178, 28177])).
% 15.12/11.18 tff(28180,plain,
% 15.12/11.18 (~v111(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28179, 28175])).
% 15.12/11.18 tff(28181,plain,
% 15.12/11.18 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171) | v111(constB171)),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28182,plain,
% 15.12/11.18 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28181, 28180])).
% 15.12/11.18 tff(28183,plain,
% 15.12/11.18 (v126(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28182, 28173])).
% 15.12/11.18 tff(28184,plain,
% 15.12/11.18 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171)) | (~v126(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28185,plain,
% 15.12/11.18 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28184, 28183])).
% 15.12/11.18 tff(28186,plain,
% 15.12/11.18 (~((~v113(constB171)) | (~v126(constB171)))),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28185, 28171])).
% 15.12/11.18 tff(28187,plain,
% 15.12/11.18 ((~(v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))) | v112(constB171) | ((~v113(constB171)) | (~v126(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28188,plain,
% 15.12/11.18 (v112(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28187, 28186, 28124])).
% 15.12/11.18 tff(28189,plain,
% 15.12/11.18 ((v111(constB171) | v112(constB171)) | (~v112(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28190,plain,
% 15.12/11.18 (v111(constB171) | v112(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28189, 28188])).
% 15.12/11.18 tff(28191,plain,
% 15.12/11.18 ((~(v108(constB171) <=> (v111(constB171) | v112(constB171)))) | v108(constB171) | (~(v111(constB171) | v112(constB171)))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28192,plain,
% 15.12/11.18 (v108(constB171)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28191, 28190, 28122])).
% 15.12/11.18 tff(28193,plain,
% 15.12/11.18 ((~(v110(constB172) <=> v108(constB171))) | v110(constB172) | (~v108(constB171))),
% 15.12/11.18 inference(tautology,[status(thm)],[])).
% 15.12/11.18 tff(28194,plain,
% 15.12/11.18 (v110(constB172)),
% 15.12/11.18 inference(unit_resolution,[status(thm)],[28193, 28192, 28120])).
% 15.12/11.19 tff(28195,plain,
% 15.12/11.19 ((~((~v101(constB172)) | (~v110(constB172)))) | (~v101(constB172)) | (~v110(constB172))),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28196,plain,
% 15.12/11.19 (~((~v101(constB172)) | (~v110(constB172)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28195, 28194, 28116])).
% 15.12/11.19 tff(28197,plain,
% 15.12/11.19 ((~(v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))) | v100(constB172) | ((~v101(constB172)) | (~v110(constB172)))),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28198,plain,
% 15.12/11.19 (v100(constB172)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28197, 28196, 28091])).
% 15.12/11.19 tff(28199,plain,
% 15.12/11.19 (((~![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))))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28200,plain,
% 15.12/11.19 ((~![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))))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28201,plain,
% 15.12/11.19 ((~![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)))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28200, 28199])).
% 15.12/11.19 tff(28202,plain,
% 15.12/11.19 ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28201, 1405])).
% 15.12/11.19 tff(28203,plain,
% 15.12/11.19 (![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28202, 28198])).
% 15.12/11.19 tff(28204,plain,
% 15.12/11.19 (((~![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)))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28205,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28206,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 15.12/11.19 tff(28207,plain,
% 15.12/11.19 (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28206, 579, 28203])).
% 15.12/11.19 tff(28208,plain,
% 15.12/11.19 (((~![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))))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28209,plain,
% 15.12/11.19 ((~![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))))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28210,plain,
% 15.12/11.19 ((~![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)))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28209, 28208])).
% 15.12/11.19 tff(28211,plain,
% 15.12/11.19 (![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28210, 24617, 1427])).
% 15.12/11.19 tff(28212,plain,
% 15.12/11.19 (((~![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)))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28213,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28214,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 15.12/11.19 tff(28215,plain,
% 15.12/11.19 (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28214, 579, 28211])).
% 15.12/11.19 tff(28216,plain,
% 15.12/11.19 (((~![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))))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28217,plain,
% 15.12/11.19 ((~![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))))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28218,plain,
% 15.12/11.19 ((~![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)))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 15.12/11.19 tff(28219,plain,
% 15.12/11.19 (![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28218, 1448, 28180])).
% 15.12/11.19 tff(28220,plain,
% 15.12/11.19 (((~![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)))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28221,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28222,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28221, 28220])).
% 15.12/11.19 tff(28223,plain,
% 15.12/11.19 (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28222, 579, 28219])).
% 15.12/11.19 tff(28224,plain,
% 15.12/11.19 (((~![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))))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28225,plain,
% 15.12/11.19 ((~![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))))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28226,plain,
% 15.12/11.19 ((~![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)))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 15.12/11.19 tff(28227,plain,
% 15.12/11.19 ((~v120(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28226, 1652])).
% 15.12/11.19 tff(28228,plain,
% 15.12/11.19 (![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28227, 28147])).
% 15.12/11.19 tff(28229,plain,
% 15.12/11.19 (((~![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)))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28230,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b010(bitIndex2)))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28231,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b010(bitIndex2))),
% 15.12/11.19 inference(modus_ponens,[status(thm)],[28230, 28229])).
% 15.12/11.19 tff(28232,plain,
% 15.12/11.19 (v130(constB171, bitIndex2) <=> b010(bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28231, 579, 28228])).
% 15.12/11.19 tff(28233,plain,
% 15.12/11.19 ((~(v130(constB171, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB171, bitIndex2)) | b010(bitIndex2)),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28234,plain,
% 15.12/11.19 ((~(v130(constB171, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB171, bitIndex2))),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28233, 1664])).
% 15.12/11.19 tff(28235,plain,
% 15.12/11.19 (~v130(constB171, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28234, 28232])).
% 15.12/11.19 tff(28236,plain,
% 15.12/11.19 ((~(v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2))) | (~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28237,plain,
% 15.12/11.19 (~v127(constB171, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28236, 28235, 28223])).
% 15.12/11.19 tff(28238,plain,
% 15.12/11.19 ((~(v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2))) | (~v129(constB172, bitIndex2)) | v127(constB171, bitIndex2)),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28239,plain,
% 15.12/11.19 (~v129(constB172, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28238, 28237, 28215])).
% 15.12/11.19 tff(28240,plain,
% 15.12/11.19 ((~(v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28241,plain,
% 15.12/11.19 (~v90(constB172, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28240, 28239, 28207])).
% 15.12/11.19 tff(28242,plain,
% 15.12/11.19 ((~(v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2))) | (~v90(constB173, bitIndex2)) | v90(constB172, bitIndex2)),
% 15.12/11.19 inference(tautology,[status(thm)],[])).
% 15.12/11.19 tff(28243,plain,
% 15.12/11.19 (~v90(constB173, bitIndex2)),
% 15.12/11.19 inference(unit_resolution,[status(thm)],[28242, 28241, 28087])).
% 15.12/11.19 tff(28244,plain,
% 15.12/11.19 (((~![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)))),
% 15.12/11.19 inference(rewrite,[status(thm)],[])).
% 15.12/11.19 tff(28245,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))),
% 15.12/11.19 inference(quant_inst,[status(thm)],[])).
% 15.12/11.19 tff(28246,plain,
% 15.12/11.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28245, 28244])).
% 15.12/11.20 tff(28247,plain,
% 15.12/11.20 (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28246, 1275, 28083])).
% 15.12/11.20 tff(28248,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28249,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28250,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28249, 28248])).
% 15.12/11.20 tff(28251,plain,
% 15.12/11.20 (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28250, 1275, 28203])).
% 15.12/11.20 tff(28252,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28253,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28254,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28253, 28252])).
% 15.12/11.20 tff(28255,plain,
% 15.12/11.20 (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28254, 1275, 28211])).
% 15.12/11.20 tff(28256,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28257,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28258,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28257, 28256])).
% 15.12/11.20 tff(28259,plain,
% 15.12/11.20 (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28258, 1275, 28219])).
% 15.12/11.20 tff(28260,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28261,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b010(bitIndex0)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28262,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b010(bitIndex0))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28261, 28260])).
% 15.12/11.20 tff(28263,plain,
% 15.12/11.20 (v130(constB171, bitIndex0) <=> b010(bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28262, 1275, 28228])).
% 15.12/11.20 tff(28264,plain,
% 15.12/11.20 ((~(v130(constB171, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB171, bitIndex0)) | b010(bitIndex0)),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28265,plain,
% 15.12/11.20 ((~(v130(constB171, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB171, bitIndex0))),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28264, 1698])).
% 15.12/11.20 tff(28266,plain,
% 15.12/11.20 (~v130(constB171, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28265, 28263])).
% 15.12/11.20 tff(28267,plain,
% 15.12/11.20 ((~(v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0))) | (~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28268,plain,
% 15.12/11.20 (~v127(constB171, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28267, 28266, 28259])).
% 15.12/11.20 tff(28269,plain,
% 15.12/11.20 ((~(v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0))) | (~v129(constB172, bitIndex0)) | v127(constB171, bitIndex0)),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28270,plain,
% 15.12/11.20 (~v129(constB172, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28269, 28268, 28255])).
% 15.12/11.20 tff(28271,plain,
% 15.12/11.20 ((~(v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0)),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28272,plain,
% 15.12/11.20 (~v90(constB172, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28271, 28270, 28251])).
% 15.12/11.20 tff(28273,plain,
% 15.12/11.20 ((~(v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0))) | (~v90(constB173, bitIndex0)) | v90(constB172, bitIndex0)),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28274,plain,
% 15.12/11.20 (~v90(constB173, bitIndex0)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28273, 28272, 28247])).
% 15.12/11.20 tff(28275,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28276,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28277,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28276, 28275])).
% 15.12/11.20 tff(28278,plain,
% 15.12/11.20 (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28277, 1288, 28083])).
% 15.12/11.20 tff(28279,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28280,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28281,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 15.12/11.20 tff(28282,plain,
% 15.12/11.20 (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28281, 1288, 28203])).
% 15.12/11.20 tff(28283,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28284,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28285,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28284, 28283])).
% 15.12/11.20 tff(28286,plain,
% 15.12/11.20 (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28285, 1288, 28211])).
% 15.12/11.20 tff(28287,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28288,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28289,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28288, 28287])).
% 15.12/11.20 tff(28290,plain,
% 15.12/11.20 (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28289, 1288, 28219])).
% 15.12/11.20 tff(28291,plain,
% 15.12/11.20 (((~![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)))),
% 15.12/11.20 inference(rewrite,[status(thm)],[])).
% 15.12/11.20 tff(28292,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b010(bitIndex1)))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28293,plain,
% 15.12/11.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b010(bitIndex1))),
% 15.12/11.20 inference(modus_ponens,[status(thm)],[28292, 28291])).
% 15.12/11.20 tff(28294,plain,
% 15.12/11.20 (v130(constB171, bitIndex1) <=> b010(bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28293, 1288, 28228])).
% 15.12/11.20 tff(28295,plain,
% 15.12/11.20 ((~(v130(constB171, bitIndex1) <=> b010(bitIndex1))) | v130(constB171, bitIndex1) | (~b010(bitIndex1))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28296,plain,
% 15.12/11.20 ((~(v130(constB171, bitIndex1) <=> b010(bitIndex1))) | v130(constB171, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28295, 1732])).
% 15.12/11.20 tff(28297,plain,
% 15.12/11.20 (v130(constB171, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28296, 28294])).
% 15.12/11.20 tff(28298,plain,
% 15.12/11.20 ((~(v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1))) | v127(constB171, bitIndex1) | (~v130(constB171, bitIndex1))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28299,plain,
% 15.12/11.20 (v127(constB171, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28298, 28297, 28290])).
% 15.12/11.20 tff(28300,plain,
% 15.12/11.20 ((~(v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1))) | v129(constB172, bitIndex1) | (~v127(constB171, bitIndex1))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28301,plain,
% 15.12/11.20 (v129(constB172, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28300, 28299, 28286])).
% 15.12/11.20 tff(28302,plain,
% 15.12/11.20 ((~(v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28303,plain,
% 15.12/11.20 (v90(constB172, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28302, 28301, 28282])).
% 15.12/11.20 tff(28304,plain,
% 15.12/11.20 ((~(v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1))) | v90(constB173, bitIndex1) | (~v90(constB172, bitIndex1))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28305,plain,
% 15.12/11.20 (v90(constB173, bitIndex1)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28304, 28303, 28278])).
% 15.12/11.20 tff(28306,plain,
% 15.12/11.20 ((~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28307,plain,
% 15.12/11.20 (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28306, 28305, 28274, 28243])).
% 15.12/11.20 tff(28308,plain,
% 15.12/11.20 ((~(v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))) | v121(constB173) | (v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28309,plain,
% 15.12/11.20 (v121(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28308, 28307, 28058])).
% 15.12/11.20 tff(28310,plain,
% 15.12/11.20 ((v118(constB173) | v121(constB173)) | (~v121(constB173))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28311,plain,
% 15.12/11.20 (v118(constB173) | v121(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28310, 28309])).
% 15.12/11.20 tff(28312,plain,
% 15.12/11.20 ((~(v117(constB173) <=> (v118(constB173) | v121(constB173)))) | v117(constB173) | (~(v118(constB173) | v121(constB173)))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28313,plain,
% 15.12/11.20 (v117(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28312, 28311, 28051])).
% 15.12/11.20 tff(28314,plain,
% 15.12/11.20 ((v117(constB173) | v122(constB173)) | (~v117(constB173))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28315,plain,
% 15.12/11.20 (v117(constB173) | v122(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28314, 28313])).
% 15.12/11.20 tff(28316,plain,
% 15.12/11.20 ((~(v116(constB173) <=> (v117(constB173) | v122(constB173)))) | v116(constB173) | (~(v117(constB173) | v122(constB173)))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28317,plain,
% 15.12/11.20 (v116(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28316, 28315, 28049])).
% 15.12/11.20 tff(28318,plain,
% 15.12/11.20 ((v116(constB173) | v123(constB173)) | (~v116(constB173))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28319,plain,
% 15.12/11.20 (v116(constB173) | v123(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28318, 28317])).
% 15.12/11.20 tff(28320,plain,
% 15.12/11.20 ((~(v115(constB173) <=> (v116(constB173) | v123(constB173)))) | v115(constB173) | (~(v116(constB173) | v123(constB173)))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28321,plain,
% 15.12/11.20 (v115(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28320, 28319, 28047])).
% 15.12/11.20 tff(28322,plain,
% 15.12/11.20 ((v115(constB173) | v124(constB173)) | (~v115(constB173))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28323,plain,
% 15.12/11.20 (v115(constB173) | v124(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28322, 28321])).
% 15.12/11.20 tff(28324,plain,
% 15.12/11.20 ((~(v114(constB173) <=> (v115(constB173) | v124(constB173)))) | v114(constB173) | (~(v115(constB173) | v124(constB173)))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28325,plain,
% 15.12/11.20 (v114(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28324, 28323, 28045])).
% 15.12/11.20 tff(28326,plain,
% 15.12/11.20 ((v114(constB173) | v125(constB173)) | (~v114(constB173))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28327,plain,
% 15.12/11.20 (v114(constB173) | v125(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28326, 28325])).
% 15.12/11.20 tff(28328,plain,
% 15.12/11.20 ((~(v113(constB173) <=> (v114(constB173) | v125(constB173)))) | v113(constB173) | (~(v114(constB173) | v125(constB173)))),
% 15.12/11.20 inference(tautology,[status(thm)],[])).
% 15.12/11.20 tff(28329,plain,
% 15.12/11.20 (v113(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28328, 28327, 28043])).
% 15.12/11.20 tff(28330,plain,
% 15.12/11.20 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB173)) <=> v111(constB173))),
% 15.12/11.20 inference(quant_inst,[status(thm)],[])).
% 15.12/11.20 tff(28331,plain,
% 15.12/11.20 ((~v126(constB173)) <=> v111(constB173)),
% 15.12/11.20 inference(unit_resolution,[status(thm)],[28330, 1345])).
% 15.12/11.20 tff(28332,plain,
% 15.12/11.21 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB173) <=> v26(constB173))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28333,plain,
% 15.12/11.21 (v111(constB173) <=> v26(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28332, 1357])).
% 15.12/11.21 tff(28334,plain,
% 15.12/11.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28335,plain,
% 15.12/11.21 (~v26(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28334, 1369])).
% 15.12/11.21 tff(28336,plain,
% 15.12/11.21 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173)) | v26(constB173)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28337,plain,
% 15.12/11.21 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28336, 28335])).
% 15.12/11.21 tff(28338,plain,
% 15.12/11.21 (~v111(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28337, 28333])).
% 15.12/11.21 tff(28339,plain,
% 15.12/11.21 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173) | v111(constB173)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28340,plain,
% 15.12/11.21 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28339, 28338])).
% 15.12/11.21 tff(28341,plain,
% 15.12/11.21 (v126(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28340, 28331])).
% 15.12/11.21 tff(28342,plain,
% 15.12/11.21 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173)) | (~v126(constB173))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28343,plain,
% 15.12/11.21 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28342, 28341])).
% 15.12/11.21 tff(28344,plain,
% 15.12/11.21 (~((~v113(constB173)) | (~v126(constB173)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28343, 28329])).
% 15.12/11.21 tff(28345,plain,
% 15.12/11.21 ((~(v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))) | v112(constB173) | ((~v113(constB173)) | (~v126(constB173)))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28346,plain,
% 15.12/11.21 (v112(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28345, 28344, 28041])).
% 15.12/11.21 tff(28347,plain,
% 15.12/11.21 ((v111(constB173) | v112(constB173)) | (~v112(constB173))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28348,plain,
% 15.12/11.21 (v111(constB173) | v112(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28347, 28346])).
% 15.12/11.21 tff(28349,plain,
% 15.12/11.21 ((~(v108(constB173) <=> (v111(constB173) | v112(constB173)))) | v108(constB173) | (~(v111(constB173) | v112(constB173)))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28350,plain,
% 15.12/11.21 (v108(constB173)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28349, 28348, 28039])).
% 15.12/11.21 tff(28351,plain,
% 15.12/11.21 ((~(v110(constB174) <=> v108(constB173))) | v110(constB174) | (~v108(constB173))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28352,plain,
% 15.12/11.21 (v110(constB174)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28351, 28350, 28037])).
% 15.12/11.21 tff(28353,plain,
% 15.12/11.21 ((~((~v101(constB174)) | (~v110(constB174)))) | (~v101(constB174)) | (~v110(constB174))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28354,plain,
% 15.12/11.21 (~((~v101(constB174)) | (~v110(constB174)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28353, 28352, 28033])).
% 15.12/11.21 tff(28355,plain,
% 15.12/11.21 ((~(v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))) | v100(constB174) | ((~v101(constB174)) | (~v110(constB174)))),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28356,plain,
% 15.12/11.21 (v100(constB174)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28355, 28354, 28002])).
% 15.12/11.21 tff(28357,plain,
% 15.12/11.21 (((~![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))))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28358,plain,
% 15.12/11.21 ((~![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))))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28359,plain,
% 15.12/11.21 ((~![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)))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28358, 28357])).
% 15.12/11.21 tff(28360,plain,
% 15.12/11.21 ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28359, 1405])).
% 15.12/11.21 tff(28361,plain,
% 15.12/11.21 (![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28360, 28356])).
% 15.12/11.21 tff(28362,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28363,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28364,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28363, 28362])).
% 15.12/11.21 tff(28365,plain,
% 15.12/11.21 (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28364, 579, 28361])).
% 15.12/11.21 tff(28366,plain,
% 15.12/11.21 (((~![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))))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28367,plain,
% 15.12/11.21 ((~![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))))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28368,plain,
% 15.12/11.21 ((~![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)))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28367, 28366])).
% 15.12/11.21 tff(28369,plain,
% 15.12/11.21 (![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28368, 27998, 1427])).
% 15.12/11.21 tff(28370,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28371,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28372,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28371, 28370])).
% 15.12/11.21 tff(28373,plain,
% 15.12/11.21 (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28372, 579, 28369])).
% 15.12/11.21 tff(28374,plain,
% 15.12/11.21 (((~![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))))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28375,plain,
% 15.12/11.21 ((~![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))))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28376,plain,
% 15.12/11.21 ((~![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)))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28375, 28374])).
% 15.12/11.21 tff(28377,plain,
% 15.12/11.21 (![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28376, 1448, 28338])).
% 15.12/11.21 tff(28378,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28379,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28380,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28379, 28378])).
% 15.12/11.21 tff(28381,plain,
% 15.12/11.21 (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28380, 579, 28377])).
% 15.12/11.21 tff(28382,plain,
% 15.12/11.21 (((~![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))))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28383,plain,
% 15.12/11.21 ((~![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))))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28384,plain,
% 15.12/11.21 ((~![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)))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28383, 28382])).
% 15.12/11.21 tff(28385,plain,
% 15.12/11.21 ((~v121(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28384, 1832])).
% 15.12/11.21 tff(28386,plain,
% 15.12/11.21 (![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28385, 28309])).
% 15.12/11.21 tff(28387,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28388,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b011(bitIndex2)))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28389,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b011(bitIndex2))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28388, 28387])).
% 15.12/11.21 tff(28390,plain,
% 15.12/11.21 (v130(constB173, bitIndex2) <=> b011(bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28389, 579, 28386])).
% 15.12/11.21 tff(28391,plain,
% 15.12/11.21 ((~(v130(constB173, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB173, bitIndex2)) | b011(bitIndex2)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28392,plain,
% 15.12/11.21 ((~(v130(constB173, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB173, bitIndex2))),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28391, 1844])).
% 15.12/11.21 tff(28393,plain,
% 15.12/11.21 (~v130(constB173, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28392, 28390])).
% 15.12/11.21 tff(28394,plain,
% 15.12/11.21 ((~(v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2))) | (~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28395,plain,
% 15.12/11.21 (~v127(constB173, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28394, 28393, 28381])).
% 15.12/11.21 tff(28396,plain,
% 15.12/11.21 ((~(v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2))) | (~v129(constB174, bitIndex2)) | v127(constB173, bitIndex2)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28397,plain,
% 15.12/11.21 (~v129(constB174, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28396, 28395, 28373])).
% 15.12/11.21 tff(28398,plain,
% 15.12/11.21 ((~(v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28399,plain,
% 15.12/11.21 (~v90(constB174, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28398, 28397, 28365])).
% 15.12/11.21 tff(28400,plain,
% 15.12/11.21 ((~(v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2))) | (~v90(constB175, bitIndex2)) | v90(constB174, bitIndex2)),
% 15.12/11.21 inference(tautology,[status(thm)],[])).
% 15.12/11.21 tff(28401,plain,
% 15.12/11.21 (~v90(constB175, bitIndex2)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28400, 28399, 27995])).
% 15.12/11.21 tff(28402,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28403,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28404,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 15.12/11.21 tff(28405,plain,
% 15.12/11.21 (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28404, 1275, 27991])).
% 15.12/11.21 tff(28406,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.21 inference(rewrite,[status(thm)],[])).
% 15.12/11.21 tff(28407,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))),
% 15.12/11.21 inference(quant_inst,[status(thm)],[])).
% 15.12/11.21 tff(28408,plain,
% 15.12/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0))),
% 15.12/11.21 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 15.12/11.21 tff(28409,plain,
% 15.12/11.21 (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)),
% 15.12/11.21 inference(unit_resolution,[status(thm)],[28408, 1275, 28361])).
% 15.12/11.21 tff(28410,plain,
% 15.12/11.21 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28411,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28412,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28411, 28410])).
% 15.12/11.22 tff(28413,plain,
% 15.12/11.22 (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28412, 1275, 28369])).
% 15.12/11.22 tff(28414,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28415,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28416,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28415, 28414])).
% 15.12/11.22 tff(28417,plain,
% 15.12/11.22 (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28416, 1275, 28377])).
% 15.12/11.22 tff(28418,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28419,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b011(bitIndex0)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28420,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b011(bitIndex0))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28419, 28418])).
% 15.12/11.22 tff(28421,plain,
% 15.12/11.22 (v130(constB173, bitIndex0) <=> b011(bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28420, 1275, 28386])).
% 15.12/11.22 tff(28422,plain,
% 15.12/11.22 ((~(v130(constB173, bitIndex0) <=> b011(bitIndex0))) | v130(constB173, bitIndex0) | (~b011(bitIndex0))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28423,plain,
% 15.12/11.22 ((~(v130(constB173, bitIndex0) <=> b011(bitIndex0))) | v130(constB173, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28422, 1878])).
% 15.12/11.22 tff(28424,plain,
% 15.12/11.22 (v130(constB173, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28423, 28421])).
% 15.12/11.22 tff(28425,plain,
% 15.12/11.22 ((~(v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0))) | v127(constB173, bitIndex0) | (~v130(constB173, bitIndex0))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28426,plain,
% 15.12/11.22 (v127(constB173, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28425, 28424, 28417])).
% 15.12/11.22 tff(28427,plain,
% 15.12/11.22 ((~(v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0))) | v129(constB174, bitIndex0) | (~v127(constB173, bitIndex0))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28428,plain,
% 15.12/11.22 (v129(constB174, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28427, 28426, 28413])).
% 15.12/11.22 tff(28429,plain,
% 15.12/11.22 ((~(v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28430,plain,
% 15.12/11.22 (v90(constB174, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28429, 28428, 28409])).
% 15.12/11.22 tff(28431,plain,
% 15.12/11.22 ((~(v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0))) | v90(constB175, bitIndex0) | (~v90(constB174, bitIndex0))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28432,plain,
% 15.12/11.22 (v90(constB175, bitIndex0)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28431, 28430, 28405])).
% 15.12/11.22 tff(28433,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28434,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28435,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28434, 28433])).
% 15.12/11.22 tff(28436,plain,
% 15.12/11.22 (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28435, 1288, 27991])).
% 15.12/11.22 tff(28437,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28438,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28439,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28438, 28437])).
% 15.12/11.22 tff(28440,plain,
% 15.12/11.22 (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28439, 1288, 28361])).
% 15.12/11.22 tff(28441,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28442,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28443,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28442, 28441])).
% 15.12/11.22 tff(28444,plain,
% 15.12/11.22 (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28443, 1288, 28369])).
% 15.12/11.22 tff(28445,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28446,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28447,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 15.12/11.22 tff(28448,plain,
% 15.12/11.22 (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28447, 1288, 28377])).
% 15.12/11.22 tff(28449,plain,
% 15.12/11.22 (((~![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)))),
% 15.12/11.22 inference(rewrite,[status(thm)],[])).
% 15.12/11.22 tff(28450,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b011(bitIndex1)))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28451,plain,
% 15.12/11.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b011(bitIndex1))),
% 15.12/11.22 inference(modus_ponens,[status(thm)],[28450, 28449])).
% 15.12/11.22 tff(28452,plain,
% 15.12/11.22 (v130(constB173, bitIndex1) <=> b011(bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28451, 1288, 28386])).
% 15.12/11.22 tff(28453,plain,
% 15.12/11.22 ((~(v130(constB173, bitIndex1) <=> b011(bitIndex1))) | v130(constB173, bitIndex1) | (~b011(bitIndex1))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28454,plain,
% 15.12/11.22 ((~(v130(constB173, bitIndex1) <=> b011(bitIndex1))) | v130(constB173, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28453, 1912])).
% 15.12/11.22 tff(28455,plain,
% 15.12/11.22 (v130(constB173, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28454, 28452])).
% 15.12/11.22 tff(28456,plain,
% 15.12/11.22 ((~(v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1))) | v127(constB173, bitIndex1) | (~v130(constB173, bitIndex1))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28457,plain,
% 15.12/11.22 (v127(constB173, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28456, 28455, 28448])).
% 15.12/11.22 tff(28458,plain,
% 15.12/11.22 ((~(v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1))) | v129(constB174, bitIndex1) | (~v127(constB173, bitIndex1))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28459,plain,
% 15.12/11.22 (v129(constB174, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28458, 28457, 28444])).
% 15.12/11.22 tff(28460,plain,
% 15.12/11.22 ((~(v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28461,plain,
% 15.12/11.22 (v90(constB174, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28460, 28459, 28440])).
% 15.12/11.22 tff(28462,plain,
% 15.12/11.22 ((~(v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1))) | v90(constB175, bitIndex1) | (~v90(constB174, bitIndex1))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28463,plain,
% 15.12/11.22 (v90(constB175, bitIndex1)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28462, 28461, 28436])).
% 15.12/11.22 tff(28464,plain,
% 15.12/11.22 ((~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28465,plain,
% 15.12/11.22 (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28464, 28463, 28432, 28401])).
% 15.12/11.22 tff(28466,plain,
% 15.12/11.22 ((~(v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) | v122(constB175) | (v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28467,plain,
% 15.12/11.22 (v122(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28466, 28465, 27963])).
% 15.12/11.22 tff(28468,plain,
% 15.12/11.22 ((v117(constB175) | v122(constB175)) | (~v122(constB175))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28469,plain,
% 15.12/11.22 (v117(constB175) | v122(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28468, 28467])).
% 15.12/11.22 tff(28470,plain,
% 15.12/11.22 ((~(v116(constB175) <=> (v117(constB175) | v122(constB175)))) | v116(constB175) | (~(v117(constB175) | v122(constB175)))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28471,plain,
% 15.12/11.22 (v116(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28470, 28469, 27956])).
% 15.12/11.22 tff(28472,plain,
% 15.12/11.22 ((v116(constB175) | v123(constB175)) | (~v116(constB175))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28473,plain,
% 15.12/11.22 (v116(constB175) | v123(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28472, 28471])).
% 15.12/11.22 tff(28474,plain,
% 15.12/11.22 ((~(v115(constB175) <=> (v116(constB175) | v123(constB175)))) | v115(constB175) | (~(v116(constB175) | v123(constB175)))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28475,plain,
% 15.12/11.22 (v115(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28474, 28473, 27954])).
% 15.12/11.22 tff(28476,plain,
% 15.12/11.22 ((v115(constB175) | v124(constB175)) | (~v115(constB175))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28477,plain,
% 15.12/11.22 (v115(constB175) | v124(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28476, 28475])).
% 15.12/11.22 tff(28478,plain,
% 15.12/11.22 ((~(v114(constB175) <=> (v115(constB175) | v124(constB175)))) | v114(constB175) | (~(v115(constB175) | v124(constB175)))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28479,plain,
% 15.12/11.22 (v114(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28478, 28477, 27952])).
% 15.12/11.22 tff(28480,plain,
% 15.12/11.22 ((v114(constB175) | v125(constB175)) | (~v114(constB175))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28481,plain,
% 15.12/11.22 (v114(constB175) | v125(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28480, 28479])).
% 15.12/11.22 tff(28482,plain,
% 15.12/11.22 ((~(v113(constB175) <=> (v114(constB175) | v125(constB175)))) | v113(constB175) | (~(v114(constB175) | v125(constB175)))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28483,plain,
% 15.12/11.22 (v113(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28482, 28481, 27950])).
% 15.12/11.22 tff(28484,plain,
% 15.12/11.22 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB175)) <=> v111(constB175))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28485,plain,
% 15.12/11.22 ((~v126(constB175)) <=> v111(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28484, 1345])).
% 15.12/11.22 tff(28486,plain,
% 15.12/11.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB175) <=> v26(constB175))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28487,plain,
% 15.12/11.22 (v111(constB175) <=> v26(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28486, 1357])).
% 15.12/11.22 tff(28488,plain,
% 15.12/11.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 15.12/11.22 inference(quant_inst,[status(thm)],[])).
% 15.12/11.22 tff(28489,plain,
% 15.12/11.22 (~v26(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28488, 1369])).
% 15.12/11.22 tff(28490,plain,
% 15.12/11.22 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175)) | v26(constB175)),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28491,plain,
% 15.12/11.22 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175))),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28490, 28489])).
% 15.12/11.22 tff(28492,plain,
% 15.12/11.22 (~v111(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28491, 28487])).
% 15.12/11.22 tff(28493,plain,
% 15.12/11.22 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175) | v111(constB175)),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28494,plain,
% 15.12/11.22 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28493, 28492])).
% 15.12/11.22 tff(28495,plain,
% 15.12/11.22 (v126(constB175)),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28494, 28485])).
% 15.12/11.22 tff(28496,plain,
% 15.12/11.22 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175)) | (~v126(constB175))),
% 15.12/11.22 inference(tautology,[status(thm)],[])).
% 15.12/11.22 tff(28497,plain,
% 15.12/11.22 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175))),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28496, 28495])).
% 15.12/11.22 tff(28498,plain,
% 15.12/11.22 (~((~v113(constB175)) | (~v126(constB175)))),
% 15.12/11.22 inference(unit_resolution,[status(thm)],[28497, 28483])).
% 15.12/11.22 tff(28499,plain,
% 15.12/11.22 ((~(v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))) | v112(constB175) | ((~v113(constB175)) | (~v126(constB175)))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28500,plain,
% 15.12/11.23 (v112(constB175)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28499, 28498, 27948])).
% 15.12/11.23 tff(28501,plain,
% 15.12/11.23 ((v111(constB175) | v112(constB175)) | (~v112(constB175))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28502,plain,
% 15.12/11.23 (v111(constB175) | v112(constB175)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28501, 28500])).
% 15.12/11.23 tff(28503,plain,
% 15.12/11.23 ((~(v108(constB175) <=> (v111(constB175) | v112(constB175)))) | v108(constB175) | (~(v111(constB175) | v112(constB175)))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28504,plain,
% 15.12/11.23 (v108(constB175)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28503, 28502, 27946])).
% 15.12/11.23 tff(28505,plain,
% 15.12/11.23 ((~(v110(constB176) <=> v108(constB175))) | v110(constB176) | (~v108(constB175))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28506,plain,
% 15.12/11.23 (v110(constB176)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28505, 28504, 27944])).
% 15.12/11.23 tff(28507,plain,
% 15.12/11.23 ((~((~v101(constB176)) | (~v110(constB176)))) | (~v101(constB176)) | (~v110(constB176))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28508,plain,
% 15.12/11.23 (~((~v101(constB176)) | (~v110(constB176)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28507, 28506, 27940])).
% 15.12/11.23 tff(28509,plain,
% 15.12/11.23 ((~(v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))) | v100(constB176) | ((~v101(constB176)) | (~v110(constB176)))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28510,plain,
% 15.12/11.23 (v100(constB176)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28509, 28508, 27909])).
% 15.12/11.23 tff(28511,plain,
% 15.12/11.23 (((~![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))))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28512,plain,
% 15.12/11.23 ((~![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))))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28513,plain,
% 15.12/11.23 ((~![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)))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 15.12/11.23 tff(28514,plain,
% 15.12/11.23 ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28513, 1405])).
% 15.12/11.23 tff(28515,plain,
% 15.12/11.23 (![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28514, 28510])).
% 15.12/11.23 tff(28516,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28517,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28518,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28517, 28516])).
% 15.12/11.23 tff(28519,plain,
% 15.12/11.23 (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28518, 579, 28515])).
% 15.12/11.23 tff(28520,plain,
% 15.12/11.23 (((~![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))))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28521,plain,
% 15.12/11.23 ((~![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))))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28522,plain,
% 15.12/11.23 ((~![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)))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28521, 28520])).
% 15.12/11.23 tff(28523,plain,
% 15.12/11.23 (![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28522, 27905, 1427])).
% 15.12/11.23 tff(28524,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28525,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28526,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28525, 28524])).
% 15.12/11.23 tff(28527,plain,
% 15.12/11.23 (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28526, 579, 28523])).
% 15.12/11.23 tff(28528,plain,
% 15.12/11.23 (((~![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))))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28529,plain,
% 15.12/11.23 ((~![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))))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28530,plain,
% 15.12/11.23 ((~![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)))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28529, 28528])).
% 15.12/11.23 tff(28531,plain,
% 15.12/11.23 (![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28530, 1448, 28492])).
% 15.12/11.23 tff(28532,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28533,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28534,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28533, 28532])).
% 15.12/11.23 tff(28535,plain,
% 15.12/11.23 (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28534, 579, 28531])).
% 15.12/11.23 tff(28536,plain,
% 15.12/11.23 (((~![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))))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28537,plain,
% 15.12/11.23 ((~![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))))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28538,plain,
% 15.12/11.23 ((~![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)))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28537, 28536])).
% 15.12/11.23 tff(28539,plain,
% 15.12/11.23 ((~v122(constB175)) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28538, 2008])).
% 15.12/11.23 tff(28540,plain,
% 15.12/11.23 (![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28539, 28467])).
% 15.12/11.23 tff(28541,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28542,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b100(bitIndex2)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28543,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b100(bitIndex2))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 15.12/11.23 tff(28544,plain,
% 15.12/11.23 (v130(constB175, bitIndex2) <=> b100(bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28543, 579, 28540])).
% 15.12/11.23 tff(28545,plain,
% 15.12/11.23 ((~(v130(constB175, bitIndex2) <=> b100(bitIndex2))) | v130(constB175, bitIndex2) | (~b100(bitIndex2))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28546,plain,
% 15.12/11.23 ((~(v130(constB175, bitIndex2) <=> b100(bitIndex2))) | v130(constB175, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28545, 2020])).
% 15.12/11.23 tff(28547,plain,
% 15.12/11.23 (v130(constB175, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28546, 28544])).
% 15.12/11.23 tff(28548,plain,
% 15.12/11.23 ((~(v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2))) | v127(constB175, bitIndex2) | (~v130(constB175, bitIndex2))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28549,plain,
% 15.12/11.23 (v127(constB175, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28548, 28547, 28535])).
% 15.12/11.23 tff(28550,plain,
% 15.12/11.23 ((~(v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2))) | v129(constB176, bitIndex2) | (~v127(constB175, bitIndex2))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28551,plain,
% 15.12/11.23 (v129(constB176, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28550, 28549, 28527])).
% 15.12/11.23 tff(28552,plain,
% 15.12/11.23 ((~(v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28553,plain,
% 15.12/11.23 (v90(constB176, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28552, 28551, 28519])).
% 15.12/11.23 tff(28554,plain,
% 15.12/11.23 ((~(v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2))) | v90(constB177, bitIndex2) | (~v90(constB176, bitIndex2))),
% 15.12/11.23 inference(tautology,[status(thm)],[])).
% 15.12/11.23 tff(28555,plain,
% 15.12/11.23 (v90(constB177, bitIndex2)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28554, 28553, 27902])).
% 15.12/11.23 tff(28556,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28557,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28558,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28557, 28556])).
% 15.12/11.23 tff(28559,plain,
% 15.12/11.23 (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28558, 1275, 27898])).
% 15.12/11.23 tff(28560,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28561,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28562,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28561, 28560])).
% 15.12/11.23 tff(28563,plain,
% 15.12/11.23 (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28562, 1275, 28515])).
% 15.12/11.23 tff(28564,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28565,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28566,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28565, 28564])).
% 15.12/11.23 tff(28567,plain,
% 15.12/11.23 (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)),
% 15.12/11.23 inference(unit_resolution,[status(thm)],[28566, 1275, 28523])).
% 15.12/11.23 tff(28568,plain,
% 15.12/11.23 (((~![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)))),
% 15.12/11.23 inference(rewrite,[status(thm)],[])).
% 15.12/11.23 tff(28569,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))),
% 15.12/11.23 inference(quant_inst,[status(thm)],[])).
% 15.12/11.23 tff(28570,plain,
% 15.12/11.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0))),
% 15.12/11.23 inference(modus_ponens,[status(thm)],[28569, 28568])).
% 15.12/11.24 tff(28571,plain,
% 15.12/11.24 (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28570, 1275, 28531])).
% 15.12/11.24 tff(28572,plain,
% 15.12/11.24 (((~![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)))),
% 15.12/11.24 inference(rewrite,[status(thm)],[])).
% 15.12/11.24 tff(28573,plain,
% 15.12/11.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b100(bitIndex0)))),
% 15.12/11.24 inference(quant_inst,[status(thm)],[])).
% 15.12/11.24 tff(28574,plain,
% 15.12/11.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b100(bitIndex0))),
% 15.12/11.24 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 15.12/11.24 tff(28575,plain,
% 15.12/11.24 (v130(constB175, bitIndex0) <=> b100(bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28574, 1275, 28540])).
% 15.12/11.24 tff(28576,plain,
% 15.12/11.24 ((~(v130(constB175, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB175, bitIndex0)) | b100(bitIndex0)),
% 15.12/11.24 inference(tautology,[status(thm)],[])).
% 15.12/11.24 tff(28577,plain,
% 15.12/11.24 ((~(v130(constB175, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB175, bitIndex0))),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28576, 2054])).
% 15.12/11.24 tff(28578,plain,
% 15.12/11.24 (~v130(constB175, bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28577, 28575])).
% 15.12/11.24 tff(28579,plain,
% 15.12/11.24 ((~(v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0))) | (~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 15.12/11.24 inference(tautology,[status(thm)],[])).
% 15.12/11.24 tff(28580,plain,
% 15.12/11.24 (~v127(constB175, bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28579, 28578, 28571])).
% 15.12/11.24 tff(28581,plain,
% 15.12/11.24 ((~(v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0))) | (~v129(constB176, bitIndex0)) | v127(constB175, bitIndex0)),
% 15.12/11.24 inference(tautology,[status(thm)],[])).
% 15.12/11.24 tff(28582,plain,
% 15.12/11.24 (~v129(constB176, bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28581, 28580, 28567])).
% 15.12/11.24 tff(28583,plain,
% 15.12/11.24 ((~(v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0)),
% 15.12/11.24 inference(tautology,[status(thm)],[])).
% 15.12/11.24 tff(28584,plain,
% 15.12/11.24 (~v90(constB176, bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28583, 28582, 28563])).
% 15.12/11.24 tff(28585,plain,
% 15.12/11.24 ((~(v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0))) | (~v90(constB177, bitIndex0)) | v90(constB176, bitIndex0)),
% 15.12/11.24 inference(tautology,[status(thm)],[])).
% 15.12/11.24 tff(28586,plain,
% 15.12/11.24 (~v90(constB177, bitIndex0)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28585, 28584, 28559])).
% 15.12/11.24 tff(28587,plain,
% 15.12/11.24 (((~![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)))),
% 15.12/11.24 inference(rewrite,[status(thm)],[])).
% 15.12/11.24 tff(28588,plain,
% 15.12/11.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))),
% 15.12/11.24 inference(quant_inst,[status(thm)],[])).
% 15.12/11.24 tff(28589,plain,
% 15.12/11.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1))),
% 15.12/11.24 inference(modus_ponens,[status(thm)],[28588, 28587])).
% 15.12/11.24 tff(28590,plain,
% 15.12/11.24 (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)),
% 15.12/11.24 inference(unit_resolution,[status(thm)],[28589, 1288, 27898])).
% 15.12/11.24 tff(28591,plain,
% 15.12/11.24 (((~![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)))),
% 15.18/11.24 inference(rewrite,[status(thm)],[])).
% 15.18/11.24 tff(28592,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28593,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1))),
% 15.18/11.24 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 15.18/11.24 tff(28594,plain,
% 15.18/11.24 (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28593, 1288, 28515])).
% 15.18/11.24 tff(28595,plain,
% 15.18/11.24 (((~![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)))),
% 15.18/11.24 inference(rewrite,[status(thm)],[])).
% 15.18/11.24 tff(28596,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28597,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1))),
% 15.18/11.24 inference(modus_ponens,[status(thm)],[28596, 28595])).
% 15.18/11.24 tff(28598,plain,
% 15.18/11.24 (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28597, 1288, 28523])).
% 15.18/11.24 tff(28599,plain,
% 15.18/11.24 (((~![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)))),
% 15.18/11.24 inference(rewrite,[status(thm)],[])).
% 15.18/11.24 tff(28600,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28601,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1))),
% 15.18/11.24 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 15.18/11.24 tff(28602,plain,
% 15.18/11.24 (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28601, 1288, 28531])).
% 15.18/11.24 tff(28603,plain,
% 15.18/11.24 (((~![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)))),
% 15.18/11.24 inference(rewrite,[status(thm)],[])).
% 15.18/11.24 tff(28604,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b100(bitIndex1)))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28605,plain,
% 15.18/11.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b100(bitIndex1))),
% 15.18/11.24 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 15.18/11.24 tff(28606,plain,
% 15.18/11.24 (v130(constB175, bitIndex1) <=> b100(bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28605, 1288, 28540])).
% 15.18/11.24 tff(28607,plain,
% 15.18/11.24 ((~(v130(constB175, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB175, bitIndex1)) | b100(bitIndex1)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28608,plain,
% 15.18/11.24 ((~(v130(constB175, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB175, bitIndex1))),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28607, 2088])).
% 15.18/11.24 tff(28609,plain,
% 15.18/11.24 (~v130(constB175, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28608, 28606])).
% 15.18/11.24 tff(28610,plain,
% 15.18/11.24 ((~(v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1))) | (~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28611,plain,
% 15.18/11.24 (~v127(constB175, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28610, 28609, 28602])).
% 15.18/11.24 tff(28612,plain,
% 15.18/11.24 ((~(v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1))) | (~v129(constB176, bitIndex1)) | v127(constB175, bitIndex1)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28613,plain,
% 15.18/11.24 (~v129(constB176, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28612, 28611, 28598])).
% 15.18/11.24 tff(28614,plain,
% 15.18/11.24 ((~(v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28615,plain,
% 15.18/11.24 (~v90(constB176, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28614, 28613, 28594])).
% 15.18/11.24 tff(28616,plain,
% 15.18/11.24 ((~(v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1))) | (~v90(constB177, bitIndex1)) | v90(constB176, bitIndex1)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28617,plain,
% 15.18/11.24 (~v90(constB177, bitIndex1)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28616, 28615, 28590])).
% 15.18/11.24 tff(28618,plain,
% 15.18/11.24 ((~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))) | (~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28619,plain,
% 15.18/11.24 (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28618, 28617, 28586, 28555])).
% 15.18/11.24 tff(28620,plain,
% 15.18/11.24 ((~(v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))) | v123(constB177) | ((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28621,plain,
% 15.18/11.24 (v123(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28620, 28619, 27870])).
% 15.18/11.24 tff(28622,plain,
% 15.18/11.24 ((v116(constB177) | v123(constB177)) | (~v123(constB177))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28623,plain,
% 15.18/11.24 (v116(constB177) | v123(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28622, 28621])).
% 15.18/11.24 tff(28624,plain,
% 15.18/11.24 ((~(v115(constB177) <=> (v116(constB177) | v123(constB177)))) | v115(constB177) | (~(v116(constB177) | v123(constB177)))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28625,plain,
% 15.18/11.24 (v115(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28624, 28623, 27863])).
% 15.18/11.24 tff(28626,plain,
% 15.18/11.24 ((v115(constB177) | v124(constB177)) | (~v115(constB177))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28627,plain,
% 15.18/11.24 (v115(constB177) | v124(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28626, 28625])).
% 15.18/11.24 tff(28628,plain,
% 15.18/11.24 ((~(v114(constB177) <=> (v115(constB177) | v124(constB177)))) | v114(constB177) | (~(v115(constB177) | v124(constB177)))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28629,plain,
% 15.18/11.24 (v114(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28628, 28627, 27861])).
% 15.18/11.24 tff(28630,plain,
% 15.18/11.24 ((v114(constB177) | v125(constB177)) | (~v114(constB177))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28631,plain,
% 15.18/11.24 (v114(constB177) | v125(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28630, 28629])).
% 15.18/11.24 tff(28632,plain,
% 15.18/11.24 ((~(v113(constB177) <=> (v114(constB177) | v125(constB177)))) | v113(constB177) | (~(v114(constB177) | v125(constB177)))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28633,plain,
% 15.18/11.24 (v113(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28632, 28631, 27859])).
% 15.18/11.24 tff(28634,plain,
% 15.18/11.24 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB177)) <=> v111(constB177))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28635,plain,
% 15.18/11.24 ((~v126(constB177)) <=> v111(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28634, 1345])).
% 15.18/11.24 tff(28636,plain,
% 15.18/11.24 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB177) <=> v26(constB177))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28637,plain,
% 15.18/11.24 (v111(constB177) <=> v26(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28636, 1357])).
% 15.18/11.24 tff(28638,plain,
% 15.18/11.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.24 tff(28639,plain,
% 15.18/11.24 (~v26(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28638, 1369])).
% 15.18/11.24 tff(28640,plain,
% 15.18/11.24 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177)) | v26(constB177)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28641,plain,
% 15.18/11.24 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177))),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28640, 28639])).
% 15.18/11.24 tff(28642,plain,
% 15.18/11.24 (~v111(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28641, 28637])).
% 15.18/11.24 tff(28643,plain,
% 15.18/11.24 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177) | v111(constB177)),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28644,plain,
% 15.18/11.24 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28643, 28642])).
% 15.18/11.24 tff(28645,plain,
% 15.18/11.24 (v126(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28644, 28635])).
% 15.18/11.24 tff(28646,plain,
% 15.18/11.24 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177)) | (~v126(constB177))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28647,plain,
% 15.18/11.24 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177))),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28646, 28645])).
% 15.18/11.24 tff(28648,plain,
% 15.18/11.24 (~((~v113(constB177)) | (~v126(constB177)))),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28647, 28633])).
% 15.18/11.24 tff(28649,plain,
% 15.18/11.24 ((~(v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))) | v112(constB177) | ((~v113(constB177)) | (~v126(constB177)))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28650,plain,
% 15.18/11.24 (v112(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28649, 28648, 27857])).
% 15.18/11.24 tff(28651,plain,
% 15.18/11.24 ((v111(constB177) | v112(constB177)) | (~v112(constB177))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28652,plain,
% 15.18/11.24 (v111(constB177) | v112(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28651, 28650])).
% 15.18/11.24 tff(28653,plain,
% 15.18/11.24 ((~(v108(constB177) <=> (v111(constB177) | v112(constB177)))) | v108(constB177) | (~(v111(constB177) | v112(constB177)))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28654,plain,
% 15.18/11.24 (v108(constB177)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28653, 28652, 27855])).
% 15.18/11.24 tff(28655,plain,
% 15.18/11.24 ((~(v110(constB178) <=> v108(constB177))) | v110(constB178) | (~v108(constB177))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28656,plain,
% 15.18/11.24 (v110(constB178)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28655, 28654, 27853])).
% 15.18/11.24 tff(28657,plain,
% 15.18/11.24 ((~((~v101(constB178)) | (~v110(constB178)))) | (~v101(constB178)) | (~v110(constB178))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28658,plain,
% 15.18/11.24 (~((~v101(constB178)) | (~v110(constB178)))),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28657, 28656, 27849])).
% 15.18/11.24 tff(28659,plain,
% 15.18/11.24 ((~(v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))) | v100(constB178) | ((~v101(constB178)) | (~v110(constB178)))),
% 15.18/11.24 inference(tautology,[status(thm)],[])).
% 15.18/11.24 tff(28660,plain,
% 15.18/11.24 (v100(constB178)),
% 15.18/11.24 inference(unit_resolution,[status(thm)],[28659, 28658, 27818])).
% 15.18/11.24 tff(28661,plain,
% 15.18/11.24 (((~![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))))),
% 15.18/11.24 inference(rewrite,[status(thm)],[])).
% 15.18/11.24 tff(28662,plain,
% 15.18/11.24 ((~![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))))),
% 15.18/11.24 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28663,plain,
% 15.18/11.25 ((~![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)))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 15.18/11.25 tff(28664,plain,
% 15.18/11.25 ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28663, 1405])).
% 15.18/11.25 tff(28665,plain,
% 15.18/11.25 (![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28664, 28660])).
% 15.18/11.25 tff(28666,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28667,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28668,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 15.18/11.25 tff(28669,plain,
% 15.18/11.25 (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28668, 579, 28665])).
% 15.18/11.25 tff(28670,plain,
% 15.18/11.25 (((~![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))))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28671,plain,
% 15.18/11.25 ((~![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))))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28672,plain,
% 15.18/11.25 ((~![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)))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28671, 28670])).
% 15.18/11.25 tff(28673,plain,
% 15.18/11.25 (![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28672, 27814, 1427])).
% 15.18/11.25 tff(28674,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28675,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28676,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28675, 28674])).
% 15.18/11.25 tff(28677,plain,
% 15.18/11.25 (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28676, 579, 28673])).
% 15.18/11.25 tff(28678,plain,
% 15.18/11.25 (((~![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))))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28679,plain,
% 15.18/11.25 ((~![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))))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28680,plain,
% 15.18/11.25 ((~![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)))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28679, 28678])).
% 15.18/11.25 tff(28681,plain,
% 15.18/11.25 (![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28680, 1448, 28642])).
% 15.18/11.25 tff(28682,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28683,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28684,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28683, 28682])).
% 15.18/11.25 tff(28685,plain,
% 15.18/11.25 (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28684, 579, 28681])).
% 15.18/11.25 tff(28686,plain,
% 15.18/11.25 (((~![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))))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28687,plain,
% 15.18/11.25 ((~![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))))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28688,plain,
% 15.18/11.25 ((~![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)))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28687, 28686])).
% 15.18/11.25 tff(28689,plain,
% 15.18/11.25 ((~v123(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28688, 2180])).
% 15.18/11.25 tff(28690,plain,
% 15.18/11.25 (![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28689, 28621])).
% 15.18/11.25 tff(28691,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28692,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b101(bitIndex2)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28693,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b101(bitIndex2))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28692, 28691])).
% 15.18/11.25 tff(28694,plain,
% 15.18/11.25 (v130(constB177, bitIndex2) <=> b101(bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28693, 579, 28690])).
% 15.18/11.25 tff(28695,plain,
% 15.18/11.25 ((~(v130(constB177, bitIndex2) <=> b101(bitIndex2))) | v130(constB177, bitIndex2) | (~b101(bitIndex2))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28696,plain,
% 15.18/11.25 ((~(v130(constB177, bitIndex2) <=> b101(bitIndex2))) | v130(constB177, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28695, 2192])).
% 15.18/11.25 tff(28697,plain,
% 15.18/11.25 (v130(constB177, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28696, 28694])).
% 15.18/11.25 tff(28698,plain,
% 15.18/11.25 ((~(v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2))) | v127(constB177, bitIndex2) | (~v130(constB177, bitIndex2))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28699,plain,
% 15.18/11.25 (v127(constB177, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28698, 28697, 28685])).
% 15.18/11.25 tff(28700,plain,
% 15.18/11.25 ((~(v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2))) | v129(constB178, bitIndex2) | (~v127(constB177, bitIndex2))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28701,plain,
% 15.18/11.25 (v129(constB178, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28700, 28699, 28677])).
% 15.18/11.25 tff(28702,plain,
% 15.18/11.25 ((~(v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28703,plain,
% 15.18/11.25 (v90(constB178, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28702, 28701, 28669])).
% 15.18/11.25 tff(28704,plain,
% 15.18/11.25 ((~(v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2))) | v90(constB179, bitIndex2) | (~v90(constB178, bitIndex2))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28705,plain,
% 15.18/11.25 (v90(constB179, bitIndex2)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28704, 28703, 27811])).
% 15.18/11.25 tff(28706,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28707,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28708,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28707, 28706])).
% 15.18/11.25 tff(28709,plain,
% 15.18/11.25 (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28708, 1275, 27807])).
% 15.18/11.25 tff(28710,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28711,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28712,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28711, 28710])).
% 15.18/11.25 tff(28713,plain,
% 15.18/11.25 (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28712, 1275, 28665])).
% 15.18/11.25 tff(28714,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28715,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28716,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 15.18/11.25 tff(28717,plain,
% 15.18/11.25 (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28716, 1275, 28673])).
% 15.18/11.25 tff(28718,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28719,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28720,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28719, 28718])).
% 15.18/11.25 tff(28721,plain,
% 15.18/11.25 (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28720, 1275, 28681])).
% 15.18/11.25 tff(28722,plain,
% 15.18/11.25 (((~![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)))),
% 15.18/11.25 inference(rewrite,[status(thm)],[])).
% 15.18/11.25 tff(28723,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b101(bitIndex0)))),
% 15.18/11.25 inference(quant_inst,[status(thm)],[])).
% 15.18/11.25 tff(28724,plain,
% 15.18/11.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b101(bitIndex0))),
% 15.18/11.25 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 15.18/11.25 tff(28725,plain,
% 15.18/11.25 (v130(constB177, bitIndex0) <=> b101(bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28724, 1275, 28690])).
% 15.18/11.25 tff(28726,plain,
% 15.18/11.25 ((~(v130(constB177, bitIndex0) <=> b101(bitIndex0))) | v130(constB177, bitIndex0) | (~b101(bitIndex0))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28727,plain,
% 15.18/11.25 ((~(v130(constB177, bitIndex0) <=> b101(bitIndex0))) | v130(constB177, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28726, 2351])).
% 15.18/11.25 tff(28728,plain,
% 15.18/11.25 (v130(constB177, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28727, 28725])).
% 15.18/11.25 tff(28729,plain,
% 15.18/11.25 ((~(v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0))) | v127(constB177, bitIndex0) | (~v130(constB177, bitIndex0))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28730,plain,
% 15.18/11.25 (v127(constB177, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28729, 28728, 28721])).
% 15.18/11.25 tff(28731,plain,
% 15.18/11.25 ((~(v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0))) | v129(constB178, bitIndex0) | (~v127(constB177, bitIndex0))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.25 tff(28732,plain,
% 15.18/11.25 (v129(constB178, bitIndex0)),
% 15.18/11.25 inference(unit_resolution,[status(thm)],[28731, 28730, 28717])).
% 15.18/11.25 tff(28733,plain,
% 15.18/11.25 ((~(v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0))),
% 15.18/11.25 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28734,plain,
% 15.18/11.26 (v90(constB178, bitIndex0)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28733, 28732, 28713])).
% 15.18/11.26 tff(28735,plain,
% 15.18/11.26 ((~(v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0))) | v90(constB179, bitIndex0) | (~v90(constB178, bitIndex0))),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28736,plain,
% 15.18/11.26 (v90(constB179, bitIndex0)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28735, 28734, 28709])).
% 15.18/11.26 tff(28737,plain,
% 15.18/11.26 (((~![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)))),
% 15.18/11.26 inference(rewrite,[status(thm)],[])).
% 15.18/11.26 tff(28738,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))),
% 15.18/11.26 inference(quant_inst,[status(thm)],[])).
% 15.18/11.26 tff(28739,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1))),
% 15.18/11.26 inference(modus_ponens,[status(thm)],[28738, 28737])).
% 15.18/11.26 tff(28740,plain,
% 15.18/11.26 (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28739, 1288, 27807])).
% 15.18/11.26 tff(28741,plain,
% 15.18/11.26 (((~![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)))),
% 15.18/11.26 inference(rewrite,[status(thm)],[])).
% 15.18/11.26 tff(28742,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))),
% 15.18/11.26 inference(quant_inst,[status(thm)],[])).
% 15.18/11.26 tff(28743,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1))),
% 15.18/11.26 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 15.18/11.26 tff(28744,plain,
% 15.18/11.26 (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28743, 1288, 28665])).
% 15.18/11.26 tff(28745,plain,
% 15.18/11.26 (((~![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)))),
% 15.18/11.26 inference(rewrite,[status(thm)],[])).
% 15.18/11.26 tff(28746,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))),
% 15.18/11.26 inference(quant_inst,[status(thm)],[])).
% 15.18/11.26 tff(28747,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1))),
% 15.18/11.26 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 15.18/11.26 tff(28748,plain,
% 15.18/11.26 (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28747, 1288, 28673])).
% 15.18/11.26 tff(28749,plain,
% 15.18/11.26 (((~![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)))),
% 15.18/11.26 inference(rewrite,[status(thm)],[])).
% 15.18/11.26 tff(28750,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))),
% 15.18/11.26 inference(quant_inst,[status(thm)],[])).
% 15.18/11.26 tff(28751,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1))),
% 15.18/11.26 inference(modus_ponens,[status(thm)],[28750, 28749])).
% 15.18/11.26 tff(28752,plain,
% 15.18/11.26 (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28751, 1288, 28681])).
% 15.18/11.26 tff(28753,plain,
% 15.18/11.26 (((~![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)))),
% 15.18/11.26 inference(rewrite,[status(thm)],[])).
% 15.18/11.26 tff(28754,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b101(bitIndex1)))),
% 15.18/11.26 inference(quant_inst,[status(thm)],[])).
% 15.18/11.26 tff(28755,plain,
% 15.18/11.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b101(bitIndex1))),
% 15.18/11.26 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 15.18/11.26 tff(28756,plain,
% 15.18/11.26 (v130(constB177, bitIndex1) <=> b101(bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28755, 1288, 28690])).
% 15.18/11.26 tff(28757,plain,
% 15.18/11.26 ((~(v130(constB177, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB177, bitIndex1)) | b101(bitIndex1)),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28758,plain,
% 15.18/11.26 ((~(v130(constB177, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB177, bitIndex1))),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28757, 2391])).
% 15.18/11.26 tff(28759,plain,
% 15.18/11.26 (~v130(constB177, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28758, 28756])).
% 15.18/11.26 tff(28760,plain,
% 15.18/11.26 ((~(v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1))) | (~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28761,plain,
% 15.18/11.26 (~v127(constB177, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28760, 28759, 28752])).
% 15.18/11.26 tff(28762,plain,
% 15.18/11.26 ((~(v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1))) | (~v129(constB178, bitIndex1)) | v127(constB177, bitIndex1)),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28763,plain,
% 15.18/11.26 (~v129(constB178, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28762, 28761, 28748])).
% 15.18/11.26 tff(28764,plain,
% 15.18/11.26 ((~(v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1)),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28765,plain,
% 15.18/11.26 (~v90(constB178, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28764, 28763, 28744])).
% 15.18/11.26 tff(28766,plain,
% 15.18/11.26 ((~(v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1))) | (~v90(constB179, bitIndex1)) | v90(constB178, bitIndex1)),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28767,plain,
% 15.18/11.26 (~v90(constB179, bitIndex1)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28766, 28765, 28740])).
% 15.18/11.26 tff(28768,plain,
% 15.18/11.26 ((~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))) | (~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28769,plain,
% 15.18/11.26 (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28768, 28767, 28736, 28705])).
% 15.18/11.26 tff(28770,plain,
% 15.18/11.26 ((~(v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))) | v124(constB179) | ((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28771,plain,
% 15.18/11.26 (v124(constB179)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28770, 28769, 27779])).
% 15.18/11.26 tff(28772,plain,
% 15.18/11.26 ((v115(constB179) | v124(constB179)) | (~v124(constB179))),
% 15.18/11.26 inference(tautology,[status(thm)],[])).
% 15.18/11.26 tff(28773,plain,
% 15.18/11.26 (v115(constB179) | v124(constB179)),
% 15.18/11.26 inference(unit_resolution,[status(thm)],[28772, 28771])).
% 15.21/11.26 tff(28774,plain,
% 15.21/11.26 ((~(v114(constB179) <=> (v115(constB179) | v124(constB179)))) | v114(constB179) | (~(v115(constB179) | v124(constB179)))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28775,plain,
% 15.21/11.26 (v114(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28774, 28773, 27772])).
% 15.21/11.26 tff(28776,plain,
% 15.21/11.26 ((v114(constB179) | v125(constB179)) | (~v114(constB179))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28777,plain,
% 15.21/11.26 (v114(constB179) | v125(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28776, 28775])).
% 15.21/11.26 tff(28778,plain,
% 15.21/11.26 ((~(v113(constB179) <=> (v114(constB179) | v125(constB179)))) | v113(constB179) | (~(v114(constB179) | v125(constB179)))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28779,plain,
% 15.21/11.26 (v113(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28778, 28777, 27770])).
% 15.21/11.26 tff(28780,plain,
% 15.21/11.26 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB179)) <=> v111(constB179))),
% 15.21/11.26 inference(quant_inst,[status(thm)],[])).
% 15.21/11.26 tff(28781,plain,
% 15.21/11.26 ((~v126(constB179)) <=> v111(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28780, 1345])).
% 15.21/11.26 tff(28782,plain,
% 15.21/11.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB179) <=> v26(constB179))),
% 15.21/11.26 inference(quant_inst,[status(thm)],[])).
% 15.21/11.26 tff(28783,plain,
% 15.21/11.26 (v111(constB179) <=> v26(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28782, 1357])).
% 15.21/11.26 tff(28784,plain,
% 15.21/11.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 15.21/11.26 inference(quant_inst,[status(thm)],[])).
% 15.21/11.26 tff(28785,plain,
% 15.21/11.26 (~v26(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28784, 1369])).
% 15.21/11.26 tff(28786,plain,
% 15.21/11.26 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179)) | v26(constB179)),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28787,plain,
% 15.21/11.26 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179))),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28786, 28785])).
% 15.21/11.26 tff(28788,plain,
% 15.21/11.26 (~v111(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28787, 28783])).
% 15.21/11.26 tff(28789,plain,
% 15.21/11.26 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179) | v111(constB179)),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28790,plain,
% 15.21/11.26 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28789, 28788])).
% 15.21/11.26 tff(28791,plain,
% 15.21/11.26 (v126(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28790, 28781])).
% 15.21/11.26 tff(28792,plain,
% 15.21/11.26 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179)) | (~v126(constB179))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28793,plain,
% 15.21/11.26 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179))),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28792, 28791])).
% 15.21/11.26 tff(28794,plain,
% 15.21/11.26 (~((~v113(constB179)) | (~v126(constB179)))),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28793, 28779])).
% 15.21/11.26 tff(28795,plain,
% 15.21/11.26 ((~(v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))) | v112(constB179) | ((~v113(constB179)) | (~v126(constB179)))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28796,plain,
% 15.21/11.26 (v112(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28795, 28794, 27768])).
% 15.21/11.26 tff(28797,plain,
% 15.21/11.26 ((v111(constB179) | v112(constB179)) | (~v112(constB179))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28798,plain,
% 15.21/11.26 (v111(constB179) | v112(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28797, 28796])).
% 15.21/11.26 tff(28799,plain,
% 15.21/11.26 ((~(v108(constB179) <=> (v111(constB179) | v112(constB179)))) | v108(constB179) | (~(v111(constB179) | v112(constB179)))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28800,plain,
% 15.21/11.26 (v108(constB179)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28799, 28798, 27766])).
% 15.21/11.26 tff(28801,plain,
% 15.21/11.26 ((~(v110(constB180) <=> v108(constB179))) | v110(constB180) | (~v108(constB179))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28802,plain,
% 15.21/11.26 (v110(constB180)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28801, 28800, 27764])).
% 15.21/11.26 tff(28803,plain,
% 15.21/11.26 ((~((~v101(constB180)) | (~v110(constB180)))) | (~v101(constB180)) | (~v110(constB180))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28804,plain,
% 15.21/11.26 (~((~v101(constB180)) | (~v110(constB180)))),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28803, 28802, 27760])).
% 15.21/11.26 tff(28805,plain,
% 15.21/11.26 ((~(v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))) | v100(constB180) | ((~v101(constB180)) | (~v110(constB180)))),
% 15.21/11.26 inference(tautology,[status(thm)],[])).
% 15.21/11.26 tff(28806,plain,
% 15.21/11.26 (v100(constB180)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28805, 28804, 27729])).
% 15.21/11.26 tff(28807,plain,
% 15.21/11.26 (((~![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))))),
% 15.21/11.26 inference(rewrite,[status(thm)],[])).
% 15.21/11.26 tff(28808,plain,
% 15.21/11.26 ((~![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))))),
% 15.21/11.26 inference(quant_inst,[status(thm)],[])).
% 15.21/11.26 tff(28809,plain,
% 15.21/11.26 ((~![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)))),
% 15.21/11.26 inference(modus_ponens,[status(thm)],[28808, 28807])).
% 15.21/11.26 tff(28810,plain,
% 15.21/11.26 ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28809, 1405])).
% 15.21/11.26 tff(28811,plain,
% 15.21/11.26 (![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28810, 28806])).
% 15.21/11.26 tff(28812,plain,
% 15.21/11.26 (((~![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)))),
% 15.21/11.26 inference(rewrite,[status(thm)],[])).
% 15.21/11.26 tff(28813,plain,
% 15.21/11.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))),
% 15.21/11.26 inference(quant_inst,[status(thm)],[])).
% 15.21/11.26 tff(28814,plain,
% 15.21/11.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2))),
% 15.21/11.26 inference(modus_ponens,[status(thm)],[28813, 28812])).
% 15.21/11.26 tff(28815,plain,
% 15.21/11.26 (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)),
% 15.21/11.26 inference(unit_resolution,[status(thm)],[28814, 579, 28811])).
% 15.21/11.26 tff(28816,plain,
% 15.21/11.26 (((~![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))))),
% 15.21/11.26 inference(rewrite,[status(thm)],[])).
% 15.21/11.26 tff(28817,plain,
% 15.21/11.26 ((~![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))))),
% 15.21/11.26 inference(quant_inst,[status(thm)],[])).
% 15.21/11.26 tff(28818,plain,
% 15.21/11.26 ((~![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)))),
% 15.21/11.26 inference(modus_ponens,[status(thm)],[28817, 28816])).
% 15.21/11.26 tff(28819,plain,
% 15.21/11.27 (![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28818, 27725, 1427])).
% 15.21/11.27 tff(28820,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28821,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28822,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28821, 28820])).
% 15.21/11.27 tff(28823,plain,
% 15.21/11.27 (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28822, 579, 28819])).
% 15.21/11.27 tff(28824,plain,
% 15.21/11.27 (((~![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))))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28825,plain,
% 15.21/11.27 ((~![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))))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28826,plain,
% 15.21/11.27 ((~![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)))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 15.21/11.27 tff(28827,plain,
% 15.21/11.27 (![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28826, 1448, 28788])).
% 15.21/11.27 tff(28828,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28829,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28830,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28829, 28828])).
% 15.21/11.27 tff(28831,plain,
% 15.21/11.27 (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28830, 579, 28827])).
% 15.21/11.27 tff(28832,plain,
% 15.21/11.27 (((~![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))))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28833,plain,
% 15.21/11.27 ((~![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))))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28834,plain,
% 15.21/11.27 ((~![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)))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28833, 28832])).
% 15.21/11.27 tff(28835,plain,
% 15.21/11.27 ((~v124(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28834, 2735])).
% 15.21/11.27 tff(28836,plain,
% 15.21/11.27 (![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28835, 28771])).
% 15.21/11.27 tff(28837,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28838,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b110(bitIndex2)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28839,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b110(bitIndex2))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28838, 28837])).
% 15.21/11.27 tff(28840,plain,
% 15.21/11.27 (v130(constB179, bitIndex2) <=> b110(bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28839, 579, 28836])).
% 15.21/11.27 tff(28841,plain,
% 15.21/11.27 ((~(v130(constB179, bitIndex2) <=> b110(bitIndex2))) | v130(constB179, bitIndex2) | (~b110(bitIndex2))),
% 15.21/11.27 inference(tautology,[status(thm)],[])).
% 15.21/11.27 tff(28842,plain,
% 15.21/11.27 ((~(v130(constB179, bitIndex2) <=> b110(bitIndex2))) | v130(constB179, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28841, 2747])).
% 15.21/11.27 tff(28843,plain,
% 15.21/11.27 (v130(constB179, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28842, 28840])).
% 15.21/11.27 tff(28844,plain,
% 15.21/11.27 ((~(v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2))) | v127(constB179, bitIndex2) | (~v130(constB179, bitIndex2))),
% 15.21/11.27 inference(tautology,[status(thm)],[])).
% 15.21/11.27 tff(28845,plain,
% 15.21/11.27 (v127(constB179, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28844, 28843, 28831])).
% 15.21/11.27 tff(28846,plain,
% 15.21/11.27 ((~(v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2))) | v129(constB180, bitIndex2) | (~v127(constB179, bitIndex2))),
% 15.21/11.27 inference(tautology,[status(thm)],[])).
% 15.21/11.27 tff(28847,plain,
% 15.21/11.27 (v129(constB180, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28846, 28845, 28823])).
% 15.21/11.27 tff(28848,plain,
% 15.21/11.27 ((~(v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2))),
% 15.21/11.27 inference(tautology,[status(thm)],[])).
% 15.21/11.27 tff(28849,plain,
% 15.21/11.27 (v90(constB180, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28848, 28847, 28815])).
% 15.21/11.27 tff(28850,plain,
% 15.21/11.27 ((~(v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2))) | v90(constB181, bitIndex2) | (~v90(constB180, bitIndex2))),
% 15.21/11.27 inference(tautology,[status(thm)],[])).
% 15.21/11.27 tff(28851,plain,
% 15.21/11.27 (v90(constB181, bitIndex2)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28850, 28849, 27722])).
% 15.21/11.27 tff(28852,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28853,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28854,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 15.21/11.27 tff(28855,plain,
% 15.21/11.27 (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28854, 1275, 27718])).
% 15.21/11.27 tff(28856,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28857,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28858,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28857, 28856])).
% 15.21/11.27 tff(28859,plain,
% 15.21/11.27 (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28858, 1275, 28811])).
% 15.21/11.27 tff(28860,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28861,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28862,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 15.21/11.27 tff(28863,plain,
% 15.21/11.27 (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28862, 1275, 28819])).
% 15.21/11.27 tff(28864,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28865,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28866,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 15.21/11.27 tff(28867,plain,
% 15.21/11.27 (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28866, 1275, 28827])).
% 15.21/11.27 tff(28868,plain,
% 15.21/11.27 (((~![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)))),
% 15.21/11.27 inference(rewrite,[status(thm)],[])).
% 15.21/11.27 tff(28869,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b110(bitIndex0)))),
% 15.21/11.27 inference(quant_inst,[status(thm)],[])).
% 15.21/11.27 tff(28870,plain,
% 15.21/11.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b110(bitIndex0))),
% 15.21/11.27 inference(modus_ponens,[status(thm)],[28869, 28868])).
% 15.21/11.27 tff(28871,plain,
% 15.21/11.27 (v130(constB179, bitIndex0) <=> b110(bitIndex0)),
% 15.21/11.27 inference(unit_resolution,[status(thm)],[28870, 1275, 28836])).
% 15.21/11.27 tff(28872,plain,
% 15.21/11.27 ((~(v130(constB179, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB179, bitIndex0)) | b110(bitIndex0)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28873,plain,
% 15.21/11.28 ((~(v130(constB179, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB179, bitIndex0))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28872, 2862])).
% 15.21/11.28 tff(28874,plain,
% 15.21/11.28 (~v130(constB179, bitIndex0)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28873, 28871])).
% 15.21/11.28 tff(28875,plain,
% 15.21/11.28 ((~(v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0))) | (~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28876,plain,
% 15.21/11.28 (~v127(constB179, bitIndex0)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28875, 28874, 28867])).
% 15.21/11.28 tff(28877,plain,
% 15.21/11.28 ((~(v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0))) | (~v129(constB180, bitIndex0)) | v127(constB179, bitIndex0)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28878,plain,
% 15.21/11.28 (~v129(constB180, bitIndex0)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28877, 28876, 28863])).
% 15.21/11.28 tff(28879,plain,
% 15.21/11.28 ((~(v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28880,plain,
% 15.21/11.28 (~v90(constB180, bitIndex0)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28879, 28878, 28859])).
% 15.21/11.28 tff(28881,plain,
% 15.21/11.28 ((~(v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0))) | (~v90(constB181, bitIndex0)) | v90(constB180, bitIndex0)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28882,plain,
% 15.21/11.28 (~v90(constB181, bitIndex0)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28881, 28880, 28855])).
% 15.21/11.28 tff(28883,plain,
% 15.21/11.28 (((~![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)))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28884,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28885,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28884, 28883])).
% 15.21/11.28 tff(28886,plain,
% 15.21/11.28 (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28885, 1288, 27718])).
% 15.21/11.28 tff(28887,plain,
% 15.21/11.28 (((~![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)))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28888,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28889,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28888, 28887])).
% 15.21/11.28 tff(28890,plain,
% 15.21/11.28 (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28889, 1288, 28811])).
% 15.21/11.28 tff(28891,plain,
% 15.21/11.28 (((~![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)))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28892,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28893,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 15.21/11.28 tff(28894,plain,
% 15.21/11.28 (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28893, 1288, 28819])).
% 15.21/11.28 tff(28895,plain,
% 15.21/11.28 (((~![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)))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28896,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28897,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28896, 28895])).
% 15.21/11.28 tff(28898,plain,
% 15.21/11.28 (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28897, 1288, 28827])).
% 15.21/11.28 tff(28899,plain,
% 15.21/11.28 (((~![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)))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28900,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b110(bitIndex1)))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28901,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b110(bitIndex1))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28900, 28899])).
% 15.21/11.28 tff(28902,plain,
% 15.21/11.28 (v130(constB179, bitIndex1) <=> b110(bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28901, 1288, 28836])).
% 15.21/11.28 tff(28903,plain,
% 15.21/11.28 ((~(v130(constB179, bitIndex1) <=> b110(bitIndex1))) | v130(constB179, bitIndex1) | (~b110(bitIndex1))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28904,plain,
% 15.21/11.28 ((~(v130(constB179, bitIndex1) <=> b110(bitIndex1))) | v130(constB179, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28903, 2902])).
% 15.21/11.28 tff(28905,plain,
% 15.21/11.28 (v130(constB179, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28904, 28902])).
% 15.21/11.28 tff(28906,plain,
% 15.21/11.28 ((~(v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1))) | v127(constB179, bitIndex1) | (~v130(constB179, bitIndex1))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28907,plain,
% 15.21/11.28 (v127(constB179, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28906, 28905, 28898])).
% 15.21/11.28 tff(28908,plain,
% 15.21/11.28 ((~(v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1))) | v129(constB180, bitIndex1) | (~v127(constB179, bitIndex1))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28909,plain,
% 15.21/11.28 (v129(constB180, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28908, 28907, 28894])).
% 15.21/11.28 tff(28910,plain,
% 15.21/11.28 ((~(v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28911,plain,
% 15.21/11.28 (v90(constB180, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28910, 28909, 28890])).
% 15.21/11.28 tff(28912,plain,
% 15.21/11.28 ((~(v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1))) | v90(constB181, bitIndex1) | (~v90(constB180, bitIndex1))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28913,plain,
% 15.21/11.28 (v90(constB181, bitIndex1)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28912, 28911, 28886])).
% 15.21/11.28 tff(28914,plain,
% 15.21/11.28 ((~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28915,plain,
% 15.21/11.28 (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28914, 28913, 28882, 28851])).
% 15.21/11.28 tff(28916,plain,
% 15.21/11.28 ((~(v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))) | v125(constB181) | ((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28917,plain,
% 15.21/11.28 (v125(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28916, 28915, 27690])).
% 15.21/11.28 tff(28918,plain,
% 15.21/11.28 ((v114(constB181) | v125(constB181)) | (~v125(constB181))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28919,plain,
% 15.21/11.28 (v114(constB181) | v125(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28918, 28917])).
% 15.21/11.28 tff(28920,plain,
% 15.21/11.28 ((~(v113(constB181) <=> (v114(constB181) | v125(constB181)))) | v113(constB181) | (~(v114(constB181) | v125(constB181)))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28921,plain,
% 15.21/11.28 (v113(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28920, 28919, 27683])).
% 15.21/11.28 tff(28922,plain,
% 15.21/11.28 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB181)) <=> v111(constB181))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28923,plain,
% 15.21/11.28 ((~v126(constB181)) <=> v111(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28922, 1345])).
% 15.21/11.28 tff(28924,plain,
% 15.21/11.28 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB181) <=> v26(constB181))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28925,plain,
% 15.21/11.28 (v111(constB181) <=> v26(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28924, 1357])).
% 15.21/11.28 tff(28926,plain,
% 15.21/11.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28927,plain,
% 15.21/11.28 (~v26(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28926, 1369])).
% 15.21/11.28 tff(28928,plain,
% 15.21/11.28 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181)) | v26(constB181)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28929,plain,
% 15.21/11.28 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28928, 28927])).
% 15.21/11.28 tff(28930,plain,
% 15.21/11.28 (~v111(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28929, 28925])).
% 15.21/11.28 tff(28931,plain,
% 15.21/11.28 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181) | v111(constB181)),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28932,plain,
% 15.21/11.28 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28931, 28930])).
% 15.21/11.28 tff(28933,plain,
% 15.21/11.28 (v126(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28932, 28923])).
% 15.21/11.28 tff(28934,plain,
% 15.21/11.28 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181)) | (~v126(constB181))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28935,plain,
% 15.21/11.28 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28934, 28933])).
% 15.21/11.28 tff(28936,plain,
% 15.21/11.28 (~((~v113(constB181)) | (~v126(constB181)))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28935, 28921])).
% 15.21/11.28 tff(28937,plain,
% 15.21/11.28 ((~(v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))) | v112(constB181) | ((~v113(constB181)) | (~v126(constB181)))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28938,plain,
% 15.21/11.28 (v112(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28937, 28936, 27681])).
% 15.21/11.28 tff(28939,plain,
% 15.21/11.28 ((v111(constB181) | v112(constB181)) | (~v112(constB181))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28940,plain,
% 15.21/11.28 (v111(constB181) | v112(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28939, 28938])).
% 15.21/11.28 tff(28941,plain,
% 15.21/11.28 ((~(v108(constB181) <=> (v111(constB181) | v112(constB181)))) | v108(constB181) | (~(v111(constB181) | v112(constB181)))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28942,plain,
% 15.21/11.28 (v108(constB181)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28941, 28940, 27679])).
% 15.21/11.28 tff(28943,plain,
% 15.21/11.28 ((~(v110(constB182) <=> v108(constB181))) | v110(constB182) | (~v108(constB181))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28944,plain,
% 15.21/11.28 (v110(constB182)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28943, 28942, 27677])).
% 15.21/11.28 tff(28945,plain,
% 15.21/11.28 ((~((~v101(constB182)) | (~v110(constB182)))) | (~v101(constB182)) | (~v110(constB182))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28946,plain,
% 15.21/11.28 (~((~v101(constB182)) | (~v110(constB182)))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28945, 28944, 27673])).
% 15.21/11.28 tff(28947,plain,
% 15.21/11.28 ((~(v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))) | v100(constB182) | ((~v101(constB182)) | (~v110(constB182)))),
% 15.21/11.28 inference(tautology,[status(thm)],[])).
% 15.21/11.28 tff(28948,plain,
% 15.21/11.28 (v100(constB182)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28947, 28946, 27642])).
% 15.21/11.28 tff(28949,plain,
% 15.21/11.28 (((~![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))))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28950,plain,
% 15.21/11.28 ((~![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))))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28951,plain,
% 15.21/11.28 ((~![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)))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28950, 28949])).
% 15.21/11.28 tff(28952,plain,
% 15.21/11.28 ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28951, 1405])).
% 15.21/11.28 tff(28953,plain,
% 15.21/11.28 (![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28952, 28948])).
% 15.21/11.28 tff(28954,plain,
% 15.21/11.28 (((~![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)))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.28 tff(28955,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))),
% 15.21/11.28 inference(quant_inst,[status(thm)],[])).
% 15.21/11.28 tff(28956,plain,
% 15.21/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2))),
% 15.21/11.28 inference(modus_ponens,[status(thm)],[28955, 28954])).
% 15.21/11.28 tff(28957,plain,
% 15.21/11.28 (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)),
% 15.21/11.28 inference(unit_resolution,[status(thm)],[28956, 579, 28953])).
% 15.21/11.28 tff(28958,plain,
% 15.21/11.28 (((~![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))))),
% 15.21/11.28 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28959,plain,
% 15.21/11.29 ((~![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))))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28960,plain,
% 15.21/11.29 ((~![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)))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[28959, 28958])).
% 15.21/11.29 tff(28961,plain,
% 15.21/11.29 (![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28960, 27638, 1427])).
% 15.21/11.29 tff(28962,plain,
% 15.21/11.29 (((~![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)))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28963,plain,
% 15.21/11.29 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28964,plain,
% 15.21/11.29 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[28963, 28962])).
% 15.21/11.29 tff(28965,plain,
% 15.21/11.29 (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28964, 579, 28961])).
% 15.21/11.29 tff(28966,plain,
% 15.21/11.29 (((~![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))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28967,plain,
% 15.21/11.29 ((~![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))))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28968,plain,
% 15.21/11.29 ((~![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)))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[28967, 28966])).
% 15.21/11.29 tff(28969,plain,
% 15.21/11.29 (![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28968, 1448, 28930])).
% 15.21/11.29 tff(28970,plain,
% 15.21/11.29 (((~![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)))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28971,plain,
% 15.21/11.29 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28972,plain,
% 15.21/11.29 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[28971, 28970])).
% 15.21/11.29 tff(28973,plain,
% 15.21/11.29 (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28972, 579, 28969])).
% 15.21/11.29 tff(28974,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28975,plain,
% 15.21/11.29 (v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28974, 1242])).
% 15.21/11.29 tff(28976,plain,
% 15.21/11.29 ((v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex2))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(28977,plain,
% 15.21/11.29 (v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28976, 28851])).
% 15.21/11.29 tff(28978,plain,
% 15.21/11.29 ((~(v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))))) | (~v119(constB181)) | (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(28979,plain,
% 15.21/11.29 (~v119(constB181)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28978, 28977, 28975])).
% 15.21/11.29 tff(28980,plain,
% 15.21/11.29 (((~![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))))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28981,plain,
% 15.21/11.29 ((v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2))))) <=> (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28982,plain,
% 15.21/11.29 (((~![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))))))),
% 15.21/11.29 inference(monotonicity,[status(thm)],[28981])).
% 15.21/11.29 tff(28983,plain,
% 15.21/11.29 (((~![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))))))),
% 15.21/11.29 inference(transitivity,[status(thm)],[28982, 28980])).
% 15.21/11.29 tff(28984,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28985,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[28984, 28983])).
% 15.21/11.29 tff(28986,plain,
% 15.21/11.29 (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28985, 2651])).
% 15.21/11.29 tff(28987,plain,
% 15.21/11.29 (((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex1))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(28988,plain,
% 15.21/11.29 ((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28987, 28913])).
% 15.21/11.29 tff(28989,plain,
% 15.21/11.29 ((~(v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))) | (~v124(constB181)) | (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(28990,plain,
% 15.21/11.29 (~v124(constB181)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28989, 28988, 28986])).
% 15.21/11.29 tff(28991,plain,
% 15.21/11.29 (((~![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)))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28992,plain,
% 15.21/11.29 ((v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2))))) <=> (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(28993,plain,
% 15.21/11.29 (((~![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)))))),
% 15.21/11.29 inference(monotonicity,[status(thm)],[28992])).
% 15.21/11.29 tff(28994,plain,
% 15.21/11.29 (((~![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)))))),
% 15.21/11.29 inference(transitivity,[status(thm)],[28993, 28991])).
% 15.21/11.29 tff(28995,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(28996,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 15.21/11.29 tff(28997,plain,
% 15.21/11.29 (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28996, 787])).
% 15.21/11.29 tff(28998,plain,
% 15.21/11.29 (((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(28999,plain,
% 15.21/11.29 ((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[28998, 28913])).
% 15.21/11.29 tff(29000,plain,
% 15.21/11.29 ((~(v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))) | (~v123(constB181)) | (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(29001,plain,
% 15.21/11.29 (~v123(constB181)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[29000, 28999, 28997])).
% 15.21/11.29 tff(29002,plain,
% 15.21/11.29 (((~![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))))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(29003,plain,
% 15.21/11.29 ((v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))))) <=> (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.29 inference(rewrite,[status(thm)],[])).
% 15.21/11.29 tff(29004,plain,
% 15.21/11.29 (((~![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))))))),
% 15.21/11.29 inference(monotonicity,[status(thm)],[29003])).
% 15.21/11.29 tff(29005,plain,
% 15.21/11.29 (((~![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))))))),
% 15.21/11.29 inference(transitivity,[status(thm)],[29004, 29002])).
% 15.21/11.29 tff(29006,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))),
% 15.21/11.29 inference(quant_inst,[status(thm)],[])).
% 15.21/11.29 tff(29007,plain,
% 15.21/11.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.29 inference(modus_ponens,[status(thm)],[29006, 29005])).
% 15.21/11.29 tff(29008,plain,
% 15.21/11.29 (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[29007, 900])).
% 15.21/11.29 tff(29009,plain,
% 15.21/11.29 ((v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(29010,plain,
% 15.21/11.29 (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[29009, 28851])).
% 15.21/11.29 tff(29011,plain,
% 15.21/11.29 ((~(v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) | (~v122(constB181)) | (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 15.21/11.29 inference(tautology,[status(thm)],[])).
% 15.21/11.29 tff(29012,plain,
% 15.21/11.29 (~v122(constB181)),
% 15.21/11.29 inference(unit_resolution,[status(thm)],[29011, 29010, 29008])).
% 15.21/11.29 tff(29013,plain,
% 15.21/11.29 (((~![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)))))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29014,plain,
% 15.21/11.30 ((v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1))))) <=> (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29015,plain,
% 15.21/11.30 (((~![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)))))),
% 15.21/11.30 inference(monotonicity,[status(thm)],[29014])).
% 15.21/11.30 tff(29016,plain,
% 15.21/11.30 (((~![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)))))),
% 15.21/11.30 inference(transitivity,[status(thm)],[29015, 29013])).
% 15.21/11.30 tff(29017,plain,
% 15.21/11.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))),
% 15.21/11.30 inference(quant_inst,[status(thm)],[])).
% 15.21/11.30 tff(29018,plain,
% 15.21/11.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 15.21/11.30 inference(modus_ponens,[status(thm)],[29017, 29016])).
% 15.21/11.30 tff(29019,plain,
% 15.21/11.30 (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29018, 1015])).
% 15.21/11.30 tff(29020,plain,
% 15.21/11.30 ((v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2))),
% 15.21/11.30 inference(tautology,[status(thm)],[])).
% 15.21/11.30 tff(29021,plain,
% 15.21/11.30 (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29020, 28851])).
% 15.21/11.30 tff(29022,plain,
% 15.21/11.30 ((~(v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))) | (~v121(constB181)) | (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))),
% 15.21/11.30 inference(tautology,[status(thm)],[])).
% 15.21/11.30 tff(29023,plain,
% 15.21/11.30 (~v121(constB181)),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29022, 29021, 29019])).
% 15.21/11.30 tff(29024,plain,
% 15.21/11.30 (((~![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))))))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29025,plain,
% 15.21/11.30 ((v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0))))) <=> (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29026,plain,
% 15.21/11.30 (((~![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))))))),
% 15.21/11.30 inference(monotonicity,[status(thm)],[29025])).
% 15.21/11.30 tff(29027,plain,
% 15.21/11.30 (((~![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))))))),
% 15.21/11.30 inference(transitivity,[status(thm)],[29026, 29024])).
% 15.21/11.30 tff(29028,plain,
% 15.21/11.30 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.30 inference(quant_inst,[status(thm)],[])).
% 15.21/11.30 tff(29029,plain,
% 15.21/11.30 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 15.21/11.30 inference(modus_ponens,[status(thm)],[29028, 29027])).
% 15.21/11.30 tff(29030,plain,
% 15.21/11.30 (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29029, 1132])).
% 15.21/11.30 tff(29031,plain,
% 15.21/11.30 ((v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2))),
% 15.21/11.30 inference(tautology,[status(thm)],[])).
% 15.21/11.30 tff(29032,plain,
% 15.21/11.30 (v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29031, 28851])).
% 15.21/11.30 tff(29033,plain,
% 15.21/11.30 ((~(v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))) | (~v120(constB181)) | (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 15.21/11.30 inference(tautology,[status(thm)],[])).
% 15.21/11.30 tff(29034,plain,
% 15.21/11.30 (~v120(constB181)),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29033, 29032, 29030])).
% 15.21/11.30 tff(29035,plain,
% 15.21/11.30 (((~![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))))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29036,plain,
% 15.21/11.30 ((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))))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29037,plain,
% 15.21/11.30 (((~![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)))))),
% 15.21/11.30 inference(monotonicity,[status(thm)],[29036])).
% 15.21/11.30 tff(29038,plain,
% 15.21/11.30 (((~![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))))),
% 15.21/11.30 inference(transitivity,[status(thm)],[29037, 29035])).
% 15.21/11.30 tff(29039,plain,
% 15.21/11.30 ((~![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))))),
% 15.21/11.30 inference(quant_inst,[status(thm)],[])).
% 15.21/11.30 tff(29040,plain,
% 15.21/11.30 ((~![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)))),
% 15.21/11.30 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 15.21/11.30 tff(29041,plain,
% 15.21/11.30 (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29040, 8006])).
% 15.21/11.30 tff(29042,plain,
% 15.21/11.30 (![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29041, 29034, 29023, 29012, 29001, 28990, 28979])).
% 15.21/11.30 tff(29043,plain,
% 15.21/11.30 (((~![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)))),
% 15.21/11.30 inference(rewrite,[status(thm)],[])).
% 15.21/11.30 tff(29044,plain,
% 15.21/11.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b001(bitIndex2)))),
% 15.21/11.30 inference(quant_inst,[status(thm)],[])).
% 15.21/11.30 tff(29045,plain,
% 15.21/11.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b001(bitIndex2))),
% 15.21/11.30 inference(modus_ponens,[status(thm)],[29044, 29043])).
% 15.21/11.30 tff(29046,plain,
% 15.21/11.30 (v130(constB181, bitIndex2) <=> b001(bitIndex2)),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29045, 579, 29042])).
% 15.21/11.30 tff(29047,plain,
% 15.21/11.30 ((~(v130(constB181, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB181, bitIndex2)) | b001(bitIndex2)),
% 15.21/11.30 inference(tautology,[status(thm)],[])).
% 15.21/11.30 tff(29048,plain,
% 15.21/11.30 ((~(v130(constB181, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB181, bitIndex2))),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29047, 1480])).
% 15.21/11.30 tff(29049,plain,
% 15.21/11.30 (~v130(constB181, bitIndex2)),
% 15.21/11.30 inference(unit_resolution,[status(thm)],[29048, 29046])).
% 15.21/11.30 tff(29050,plain,
% 15.21/11.30 ((~(v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2))) | (~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29051,plain,
% 15.21/11.31 (~v127(constB181, bitIndex2)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29050, 29049, 28973])).
% 15.21/11.31 tff(29052,plain,
% 15.21/11.31 ((~(v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2))) | (~v129(constB182, bitIndex2)) | v127(constB181, bitIndex2)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29053,plain,
% 15.21/11.31 (~v129(constB182, bitIndex2)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29052, 29051, 28965])).
% 15.21/11.31 tff(29054,plain,
% 15.21/11.31 ((~(v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29055,plain,
% 15.21/11.31 (~v90(constB182, bitIndex2)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29054, 29053, 28957])).
% 15.21/11.31 tff(29056,plain,
% 15.21/11.31 ((~(v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2))) | (~v90(constB183, bitIndex2)) | v90(constB182, bitIndex2)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29057,plain,
% 15.21/11.31 (~v90(constB183, bitIndex2)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29056, 29055, 27635])).
% 15.21/11.31 tff(29058,plain,
% 15.21/11.31 ((~(v88(constB183, bitIndex2) <=> v90(constB183, bitIndex2))) | (~v88(constB183, bitIndex2)) | v90(constB183, bitIndex2)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29059,plain,
% 15.21/11.31 (~v88(constB183, bitIndex2)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29058, 29057, 27603])).
% 15.21/11.31 tff(29060,plain,
% 15.21/11.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB183, bitIndex0) <=> v90(constB183, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB183, bitIndex0) <=> v90(constB183, bitIndex0)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29061,plain,
% 15.21/11.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB183, bitIndex0) <=> v90(constB183, bitIndex0)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29062,plain,
% 15.21/11.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB183, bitIndex0) <=> v90(constB183, bitIndex0))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29061, 29060])).
% 15.21/11.31 tff(29063,plain,
% 15.21/11.31 (v88(constB183, bitIndex0) <=> v90(constB183, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29062, 1275, 576])).
% 15.21/11.31 tff(29064,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29065,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29066,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29065, 29064])).
% 15.21/11.31 tff(29067,plain,
% 15.21/11.31 (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29066, 1275, 27631])).
% 15.21/11.31 tff(29068,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29069,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29070,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29069, 29068])).
% 15.21/11.31 tff(29071,plain,
% 15.21/11.31 (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29070, 1275, 28953])).
% 15.21/11.31 tff(29072,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29073,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29074,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29073, 29072])).
% 15.21/11.31 tff(29075,plain,
% 15.21/11.31 (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29074, 1275, 28961])).
% 15.21/11.31 tff(29076,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29077,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29078,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29077, 29076])).
% 15.21/11.31 tff(29079,plain,
% 15.21/11.31 (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29078, 1275, 28969])).
% 15.21/11.31 tff(29080,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29081,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b001(bitIndex0)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29082,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b001(bitIndex0))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29081, 29080])).
% 15.21/11.31 tff(29083,plain,
% 15.21/11.31 (v130(constB181, bitIndex0) <=> b001(bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29082, 1275, 29042])).
% 15.21/11.31 tff(29084,plain,
% 15.21/11.31 ((~(v130(constB181, bitIndex0) <=> b001(bitIndex0))) | v130(constB181, bitIndex0) | (~b001(bitIndex0))),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29085,plain,
% 15.21/11.31 ((~(v130(constB181, bitIndex0) <=> b001(bitIndex0))) | v130(constB181, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29084, 1514])).
% 15.21/11.31 tff(29086,plain,
% 15.21/11.31 (v130(constB181, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29085, 29083])).
% 15.21/11.31 tff(29087,plain,
% 15.21/11.31 ((~(v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0))) | v127(constB181, bitIndex0) | (~v130(constB181, bitIndex0))),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29088,plain,
% 15.21/11.31 (v127(constB181, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29087, 29086, 29079])).
% 15.21/11.31 tff(29089,plain,
% 15.21/11.31 ((~(v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0))) | v129(constB182, bitIndex0) | (~v127(constB181, bitIndex0))),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29090,plain,
% 15.21/11.31 (v129(constB182, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29089, 29088, 29075])).
% 15.21/11.31 tff(29091,plain,
% 15.21/11.31 ((~(v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0))),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29092,plain,
% 15.21/11.31 (v90(constB182, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29091, 29090, 29071])).
% 15.21/11.31 tff(29093,plain,
% 15.21/11.31 ((~(v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0))) | v90(constB183, bitIndex0) | (~v90(constB182, bitIndex0))),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29094,plain,
% 15.21/11.31 (v90(constB183, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29093, 29092, 29067])).
% 15.21/11.31 tff(29095,plain,
% 15.21/11.31 ((~(v88(constB183, bitIndex0) <=> v90(constB183, bitIndex0))) | v88(constB183, bitIndex0) | (~v90(constB183, bitIndex0))),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29096,plain,
% 15.21/11.31 (v88(constB183, bitIndex0)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29095, 29094, 29063])).
% 15.21/11.31 tff(29097,plain,
% 15.21/11.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB183, bitIndex1) <=> v90(constB183, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB183, bitIndex1) <=> v90(constB183, bitIndex1)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29098,plain,
% 15.21/11.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB183, bitIndex1) <=> v90(constB183, bitIndex1)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29099,plain,
% 15.21/11.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB183, bitIndex1) <=> v90(constB183, bitIndex1))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29098, 29097])).
% 15.21/11.31 tff(29100,plain,
% 15.21/11.31 (v88(constB183, bitIndex1) <=> v90(constB183, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29099, 1288, 576])).
% 15.21/11.31 tff(29101,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29102,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29103,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29102, 29101])).
% 15.21/11.31 tff(29104,plain,
% 15.21/11.31 (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29103, 1288, 27631])).
% 15.21/11.31 tff(29105,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29106,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29107,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 15.21/11.31 tff(29108,plain,
% 15.21/11.31 (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29107, 1288, 28953])).
% 15.21/11.31 tff(29109,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29110,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29111,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29110, 29109])).
% 15.21/11.31 tff(29112,plain,
% 15.21/11.31 (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29111, 1288, 28961])).
% 15.21/11.31 tff(29113,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29114,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29115,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29114, 29113])).
% 15.21/11.31 tff(29116,plain,
% 15.21/11.31 (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29115, 1288, 28969])).
% 15.21/11.31 tff(29117,plain,
% 15.21/11.31 (((~![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)))),
% 15.21/11.31 inference(rewrite,[status(thm)],[])).
% 15.21/11.31 tff(29118,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b001(bitIndex1)))),
% 15.21/11.31 inference(quant_inst,[status(thm)],[])).
% 15.21/11.31 tff(29119,plain,
% 15.21/11.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b001(bitIndex1))),
% 15.21/11.31 inference(modus_ponens,[status(thm)],[29118, 29117])).
% 15.21/11.31 tff(29120,plain,
% 15.21/11.31 (v130(constB181, bitIndex1) <=> b001(bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29119, 1288, 29042])).
% 15.21/11.31 tff(29121,plain,
% 15.21/11.31 ((~(v130(constB181, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB181, bitIndex1)) | b001(bitIndex1)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29122,plain,
% 15.21/11.31 ((~(v130(constB181, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB181, bitIndex1))),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29121, 1548])).
% 15.21/11.31 tff(29123,plain,
% 15.21/11.31 (~v130(constB181, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29122, 29120])).
% 15.21/11.31 tff(29124,plain,
% 15.21/11.31 ((~(v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1))) | (~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 15.21/11.31 inference(tautology,[status(thm)],[])).
% 15.21/11.31 tff(29125,plain,
% 15.21/11.31 (~v127(constB181, bitIndex1)),
% 15.21/11.31 inference(unit_resolution,[status(thm)],[29124, 29123, 29116])).
% 15.21/11.31 tff(29126,plain,
% 15.21/11.31 ((~(v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1))) | (~v129(constB182, bitIndex1)) | v127(constB181, bitIndex1)),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29127,plain,
% 15.21/11.32 (~v129(constB182, bitIndex1)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29126, 29125, 29112])).
% 15.21/11.32 tff(29128,plain,
% 15.21/11.32 ((~(v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29129,plain,
% 15.21/11.32 (~v90(constB182, bitIndex1)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29128, 29127, 29108])).
% 15.21/11.32 tff(29130,plain,
% 15.21/11.32 ((~(v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1))) | (~v90(constB183, bitIndex1)) | v90(constB182, bitIndex1)),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29131,plain,
% 15.21/11.32 (~v90(constB183, bitIndex1)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29130, 29129, 29104])).
% 15.21/11.32 tff(29132,plain,
% 15.21/11.32 ((~(v88(constB183, bitIndex1) <=> v90(constB183, bitIndex1))) | (~v88(constB183, bitIndex1)) | v90(constB183, bitIndex1)),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29133,plain,
% 15.21/11.32 (~v88(constB183, bitIndex1)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29132, 29131, 29100])).
% 15.21/11.32 tff(29134,plain,
% 15.21/11.32 ((~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0))),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29135,plain,
% 15.21/11.32 (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29134, 29133, 29096, 29059])).
% 15.21/11.32 tff(29136,plain,
% 15.21/11.32 ((~(v140(constB183) <=> (~(v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))))) | v140(constB183) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)))),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29137,plain,
% 15.21/11.32 (v140(constB183)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29136, 29135, 27599])).
% 15.21/11.32 tff(29138,plain,
% 15.21/11.32 ((v139(constB183) | v140(constB183)) | (~v140(constB183))),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29139,plain,
% 15.21/11.32 (v139(constB183) | v140(constB183)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29138, 29137])).
% 15.21/11.32 tff(29140,plain,
% 15.21/11.32 ((~(v170(constB183) <=> (v139(constB183) | v140(constB183)))) | v170(constB183) | (~(v139(constB183) | v140(constB183)))),
% 15.21/11.32 inference(tautology,[status(thm)],[])).
% 15.21/11.32 tff(29141,plain,
% 15.21/11.32 (v170(constB183)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29140, 29139, 27592])).
% 15.21/11.32 tff(29142,plain,
% 15.21/11.32 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB183)) | (~v169(constB183)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB183)) | (~v169(constB183)))),
% 15.21/11.32 inference(rewrite,[status(thm)],[])).
% 15.21/11.32 tff(29143,plain,
% 15.21/11.32 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB183)) | (~v169(constB183)))),
% 15.21/11.32 inference(quant_inst,[status(thm)],[])).
% 15.21/11.32 tff(29144,plain,
% 15.21/11.32 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB183)) | (~v169(constB183))),
% 15.21/11.32 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 15.21/11.32 tff(29145,plain,
% 15.21/11.32 ((~v170(constB183)) | (~v169(constB183))),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29144, 18673])).
% 15.21/11.32 tff(29146,plain,
% 15.21/11.32 (~v169(constB183)),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29145, 29141])).
% 15.21/11.32 tff(29147,plain,
% 15.21/11.32 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB183) <=> (v145(constB183) | v166(constB183)))),
% 15.21/11.32 inference(quant_inst,[status(thm)],[])).
% 15.21/11.32 tff(29148,plain,
% 15.21/11.32 (v165(constB183) <=> (v145(constB183) | v166(constB183))),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29147, 2293])).
% 15.21/11.32 tff(29149,plain,
% 15.21/11.32 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB183) <=> (v142(constB183) | v167(constB183)))),
% 15.21/11.32 inference(quant_inst,[status(thm)],[])).
% 15.21/11.32 tff(29150,plain,
% 15.21/11.32 (v166(constB183) <=> (v142(constB183) | v167(constB183))),
% 15.21/11.32 inference(unit_resolution,[status(thm)],[29149, 2804])).
% 15.21/11.32 tff(29151,plain,
% 15.21/11.32 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB183) <=> (v141(constB183) | v168(constB183)))),
% 15.26/11.32 inference(quant_inst,[status(thm)],[])).
% 15.26/11.32 tff(29152,plain,
% 15.26/11.32 (v167(constB183) <=> (v141(constB183) | v168(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29151, 18692])).
% 15.26/11.32 tff(29153,plain,
% 15.26/11.32 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB183) <=> (v139(constB183) | v140(constB183)))),
% 15.26/11.32 inference(quant_inst,[status(thm)],[])).
% 15.26/11.32 tff(29154,plain,
% 15.26/11.32 (v168(constB183) <=> (v139(constB183) | v140(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29153, 18701])).
% 15.26/11.32 tff(29155,plain,
% 15.26/11.32 ((~(v168(constB183) <=> (v139(constB183) | v140(constB183)))) | v168(constB183) | (~(v139(constB183) | v140(constB183)))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29156,plain,
% 15.26/11.32 (v168(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29155, 29139, 29154])).
% 15.26/11.32 tff(29157,plain,
% 15.26/11.32 ((v141(constB183) | v168(constB183)) | (~v168(constB183))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29158,plain,
% 15.26/11.32 (v141(constB183) | v168(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29157, 29156])).
% 15.26/11.32 tff(29159,plain,
% 15.26/11.32 ((~(v167(constB183) <=> (v141(constB183) | v168(constB183)))) | v167(constB183) | (~(v141(constB183) | v168(constB183)))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29160,plain,
% 15.26/11.32 (v167(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29159, 29158, 29152])).
% 15.26/11.32 tff(29161,plain,
% 15.26/11.32 ((v142(constB183) | v167(constB183)) | (~v167(constB183))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29162,plain,
% 15.26/11.32 (v142(constB183) | v167(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29161, 29160])).
% 15.26/11.32 tff(29163,plain,
% 15.26/11.32 ((~(v166(constB183) <=> (v142(constB183) | v167(constB183)))) | v166(constB183) | (~(v142(constB183) | v167(constB183)))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29164,plain,
% 15.26/11.32 (v166(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29163, 29162, 29150])).
% 15.26/11.32 tff(29165,plain,
% 15.26/11.32 ((v145(constB183) | v166(constB183)) | (~v166(constB183))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29166,plain,
% 15.26/11.32 (v145(constB183) | v166(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29165, 29164])).
% 15.26/11.32 tff(29167,plain,
% 15.26/11.32 ((~(v165(constB183) <=> (v145(constB183) | v166(constB183)))) | v165(constB183) | (~(v145(constB183) | v166(constB183)))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29168,plain,
% 15.26/11.32 (v165(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29167, 29166, 29148])).
% 15.26/11.32 tff(29169,plain,
% 15.26/11.32 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB183)) | (v162(constB183) <=> v169(constB183)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB183)) | (v162(constB183) <=> v169(constB183)))),
% 15.26/11.32 inference(rewrite,[status(thm)],[])).
% 15.26/11.32 tff(29170,plain,
% 15.26/11.32 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB183)) | (v162(constB183) <=> v169(constB183)))),
% 15.26/11.32 inference(quant_inst,[status(thm)],[])).
% 15.26/11.32 tff(29171,plain,
% 15.26/11.32 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB183)) | (v162(constB183) <=> v169(constB183))),
% 15.26/11.32 inference(modus_ponens,[status(thm)],[29170, 29169])).
% 15.26/11.32 tff(29172,plain,
% 15.26/11.32 ((~v165(constB183)) | (v162(constB183) <=> v169(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29171, 2426])).
% 15.26/11.32 tff(29173,plain,
% 15.26/11.32 (v162(constB183) <=> v169(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29172, 29168])).
% 15.26/11.32 tff(29174,plain,
% 15.26/11.32 ((~(v162(constB183) <=> v169(constB183))) | (~v162(constB183)) | v169(constB183)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29175,plain,
% 15.26/11.32 (~v162(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29174, 29173, 29146])).
% 15.26/11.32 tff(29176,plain,
% 15.26/11.32 ((~(v160(constB183) <=> v162(constB183))) | (~v160(constB183)) | v162(constB183)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29177,plain,
% 15.26/11.32 ((~(v160(constB183) <=> v162(constB183))) | (~v160(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29176, 29175])).
% 15.26/11.32 tff(29178,plain,
% 15.26/11.32 (~v160(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29177, 27590])).
% 15.26/11.32 tff(29179,plain,
% 15.26/11.32 (((~v184(constB183)) | (~v160(constB183))) | v160(constB183)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29180,plain,
% 15.26/11.32 ((~v184(constB183)) | (~v160(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29179, 29178])).
% 15.26/11.32 tff(29181,plain,
% 15.26/11.32 ((~(v187(constB183) <=> (~((~v184(constB183)) | (~v160(constB183)))))) | (~v187(constB183)) | (~((~v184(constB183)) | (~v160(constB183))))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29182,plain,
% 15.26/11.32 (~v187(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29181, 29180, 27588])).
% 15.26/11.32 tff(29183,plain,
% 15.26/11.32 (((~v186(constB183)) | (~v187(constB183))) | v187(constB183)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29184,plain,
% 15.26/11.32 ((~v186(constB183)) | (~v187(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29183, 29182])).
% 15.26/11.32 tff(29185,plain,
% 15.26/11.32 ((~(v185(constB183) <=> (~((~v186(constB183)) | (~v187(constB183)))))) | (~v185(constB183)) | (~((~v186(constB183)) | (~v187(constB183))))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29186,plain,
% 15.26/11.32 (~v185(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29185, 29184, 27586])).
% 15.26/11.32 tff(29187,plain,
% 15.26/11.32 ((~(v181(constB183) | v185(constB183))) | v181(constB183) | v185(constB183)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29188,plain,
% 15.26/11.32 (~(v181(constB183) | v185(constB183))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29187, 29186, 27584])).
% 15.26/11.32 tff(29189,plain,
% 15.26/11.32 ((~(v178(constB183) <=> (v181(constB183) | v185(constB183)))) | (~v178(constB183)) | (v181(constB183) | v185(constB183))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29190,plain,
% 15.26/11.32 (~v178(constB183)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29189, 29188, 27508])).
% 15.26/11.32 tff(29191,plain,
% 15.26/11.32 ((~(v180(constB184) <=> v178(constB183))) | (~v180(constB184)) | v178(constB183)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29192,plain,
% 15.26/11.32 (~v180(constB184)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29191, 29190, 27506])).
% 15.26/11.32 tff(29193,plain,
% 15.26/11.32 ((~(v158(constB184) <=> v180(constB184))) | (~v158(constB184)) | v180(constB184)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29194,plain,
% 15.26/11.32 (~v158(constB184)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29193, 29192, 27499])).
% 15.26/11.32 tff(29195,plain,
% 15.26/11.32 (((~v158(constB184)) | (~v182(constB184))) | v158(constB184)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29196,plain,
% 15.26/11.32 ((~v158(constB184)) | (~v182(constB184))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29195, 29194])).
% 15.26/11.32 tff(29197,plain,
% 15.26/11.32 ((~(v181(constB184) <=> (~((~v158(constB184)) | (~v182(constB184)))))) | (~v181(constB184)) | (~((~v158(constB184)) | (~v182(constB184))))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29198,plain,
% 15.26/11.32 (~v181(constB184)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29197, 29196, 27497])).
% 15.26/11.32 tff(29199,plain,
% 15.26/11.32 ((~(v181(constB184) | v185(constB184))) | v181(constB184) | v185(constB184)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29200,plain,
% 15.26/11.32 (~(v181(constB184) | v185(constB184))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29199, 29198, 27490])).
% 15.26/11.32 tff(29201,plain,
% 15.26/11.32 ((~(v178(constB184) <=> (v181(constB184) | v185(constB184)))) | (~v178(constB184)) | (v181(constB184) | v185(constB184))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29202,plain,
% 15.26/11.32 (~v178(constB184)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29201, 29200, 27462])).
% 15.26/11.32 tff(29203,plain,
% 15.26/11.32 ((~(v180(constB185) <=> v178(constB184))) | (~v180(constB185)) | v178(constB184)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29204,plain,
% 15.26/11.32 (~v180(constB185)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29203, 29202, 27460])).
% 15.26/11.32 tff(29205,plain,
% 15.26/11.32 ((~(v158(constB185) <=> v180(constB185))) | (~v158(constB185)) | v180(constB185)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29206,plain,
% 15.26/11.32 (~v158(constB185)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29205, 29204, 27453])).
% 15.26/11.32 tff(29207,plain,
% 15.26/11.32 (((~v158(constB185)) | (~v199(constB185))) | v158(constB185)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29208,plain,
% 15.26/11.32 ((~v158(constB185)) | (~v199(constB185))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29207, 29206])).
% 15.26/11.32 tff(29209,plain,
% 15.26/11.32 ((~(v198(constB185) <=> (~((~v158(constB185)) | (~v199(constB185)))))) | (~v198(constB185)) | (~((~v158(constB185)) | (~v199(constB185))))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29210,plain,
% 15.26/11.32 (~v198(constB185)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29209, 29208, 27451])).
% 15.26/11.32 tff(29211,plain,
% 15.26/11.32 ((~(v197(constB185) | v198(constB185))) | v197(constB185) | v198(constB185)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29212,plain,
% 15.26/11.32 (~(v197(constB185) | v198(constB185))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29211, 29210, 27449])).
% 15.26/11.32 tff(29213,plain,
% 15.26/11.32 ((~(v194(constB185) <=> (v197(constB185) | v198(constB185)))) | (~v194(constB185)) | (v197(constB185) | v198(constB185))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29214,plain,
% 15.26/11.32 (~v194(constB185)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29213, 29212, 27378])).
% 15.26/11.32 tff(29215,plain,
% 15.26/11.32 ((~(v196(constB186) <=> v194(constB185))) | (~v196(constB186)) | v194(constB185)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29216,plain,
% 15.26/11.32 (~v196(constB186)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29215, 29214, 27376])).
% 15.26/11.32 tff(29217,plain,
% 15.26/11.32 ((~(v191(constB186) <=> v196(constB186))) | (~v191(constB186)) | v196(constB186)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29218,plain,
% 15.26/11.32 (~v191(constB186)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29217, 29216, 27369])).
% 15.26/11.32 tff(29219,plain,
% 15.26/11.32 (((~v182(constB186)) | (~v191(constB186))) | v191(constB186)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29220,plain,
% 15.26/11.32 ((~v182(constB186)) | (~v191(constB186))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29219, 29218])).
% 15.26/11.32 tff(29221,plain,
% 15.26/11.32 ((~(v197(constB186) <=> (~((~v182(constB186)) | (~v191(constB186)))))) | (~v197(constB186)) | (~((~v182(constB186)) | (~v191(constB186))))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29222,plain,
% 15.26/11.32 (~v197(constB186)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29221, 29220, 27367])).
% 15.26/11.32 tff(29223,plain,
% 15.26/11.32 ((~(v197(constB186) | v198(constB186))) | v197(constB186) | v198(constB186)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29224,plain,
% 15.26/11.32 (~(v197(constB186) | v198(constB186))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29223, 29222, 27365])).
% 15.26/11.32 tff(29225,plain,
% 15.26/11.32 ((~(v194(constB186) <=> (v197(constB186) | v198(constB186)))) | (~v194(constB186)) | (v197(constB186) | v198(constB186))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29226,plain,
% 15.26/11.32 (~v194(constB186)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29225, 29224, 27331])).
% 15.26/11.32 tff(29227,plain,
% 15.26/11.32 ((~(v196(constB187) <=> v194(constB186))) | (~v196(constB187)) | v194(constB186)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29228,plain,
% 15.26/11.32 (~v196(constB187)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29227, 29226, 27329])).
% 15.26/11.32 tff(29229,plain,
% 15.26/11.32 ((~(v191(constB187) <=> v196(constB187))) | (~v191(constB187)) | v196(constB187)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29230,plain,
% 15.26/11.32 (~v191(constB187)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29229, 29228, 27322])).
% 15.26/11.32 tff(29231,plain,
% 15.26/11.32 (((~v191(constB187)) | (~v206(constB187))) | v191(constB187)),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29232,plain,
% 15.26/11.32 ((~v191(constB187)) | (~v206(constB187))),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29231, 29230])).
% 15.26/11.32 tff(29233,plain,
% 15.26/11.32 ((~(v209(constB187) <=> (~((~v191(constB187)) | (~v206(constB187)))))) | (~v209(constB187)) | (~((~v191(constB187)) | (~v206(constB187))))),
% 15.26/11.32 inference(tautology,[status(thm)],[])).
% 15.26/11.32 tff(29234,plain,
% 15.26/11.32 (~v209(constB187)),
% 15.26/11.32 inference(unit_resolution,[status(thm)],[29233, 29232, 27320])).
% 15.26/11.32 tff(29235,plain,
% 15.26/11.32 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187))))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29236,plain,
% 15.26/11.33 ((v205(constB187) <=> (~((~v206(constB187)) | (~v158(constB187))))) <=> (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187)))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29237,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v206(constB187)) | (~v158(constB187)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187))))))),
% 15.26/11.33 inference(monotonicity,[status(thm)],[29236])).
% 15.26/11.33 tff(29238,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v206(constB187)) | (~v158(constB187)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187))))))),
% 15.26/11.33 inference(transitivity,[status(thm)],[29237, 29235])).
% 15.26/11.33 tff(29239,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v206(constB187)) | (~v158(constB187)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29240,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187)))))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29239, 29238])).
% 15.26/11.33 tff(29241,plain,
% 15.26/11.33 (v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29240, 2502])).
% 15.26/11.33 tff(29242,plain,
% 15.26/11.33 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB187) <=> v180(constB187))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29243,plain,
% 15.26/11.33 (v158(constB187) <=> v180(constB187)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29242, 358])).
% 15.26/11.33 tff(29244,plain,
% 15.26/11.33 (((~![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)))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29245,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29246,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 15.26/11.33 tff(29247,plain,
% 15.26/11.33 (v180(constB187) <=> v178(constB186)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29246, 27325, 370])).
% 15.26/11.33 tff(29248,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB186) <=> (v181(constB186) | v185(constB186)))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29249,plain,
% 15.26/11.33 (v178(constB186) <=> (v181(constB186) | v185(constB186))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29248, 384])).
% 15.26/11.33 tff(29250,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29251,plain,
% 15.26/11.33 (v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29250, 396])).
% 15.26/11.33 tff(29252,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB186) <=> (~((~v184(constB186)) | (~v160(constB186)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29253,plain,
% 15.26/11.33 (v187(constB186) <=> (~((~v184(constB186)) | (~v160(constB186))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29252, 408])).
% 15.26/11.33 tff(29254,plain,
% 15.26/11.33 (((~v184(constB186)) | (~v160(constB186))) | v184(constB186)),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29255,plain,
% 15.26/11.33 ((~v184(constB186)) | (~v160(constB186))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29254, 27352])).
% 15.26/11.33 tff(29256,plain,
% 15.26/11.33 ((~(v187(constB186) <=> (~((~v184(constB186)) | (~v160(constB186)))))) | (~v187(constB186)) | (~((~v184(constB186)) | (~v160(constB186))))),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29257,plain,
% 15.26/11.33 ((~(v187(constB186) <=> (~((~v184(constB186)) | (~v160(constB186)))))) | (~v187(constB186))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29256, 29255])).
% 15.26/11.33 tff(29258,plain,
% 15.26/11.33 (~v187(constB186)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29257, 29253])).
% 15.26/11.33 tff(29259,plain,
% 15.26/11.33 (((~v186(constB186)) | (~v187(constB186))) | v187(constB186)),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29260,plain,
% 15.26/11.33 ((~v186(constB186)) | (~v187(constB186))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29259, 29258])).
% 15.26/11.33 tff(29261,plain,
% 15.26/11.33 ((~(v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186)))))) | (~v185(constB186)) | (~((~v186(constB186)) | (~v187(constB186))))),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29262,plain,
% 15.26/11.33 (~v185(constB186)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29261, 29260, 29251])).
% 15.26/11.33 tff(29263,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186))))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29264,plain,
% 15.26/11.33 ((v181(constB186) <=> (~((~v182(constB186)) | (~v158(constB186))))) <=> (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186)))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29265,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v158(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186))))))),
% 15.26/11.33 inference(monotonicity,[status(thm)],[29264])).
% 15.26/11.33 tff(29266,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v158(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186))))))),
% 15.26/11.33 inference(transitivity,[status(thm)],[29265, 29263])).
% 15.26/11.33 tff(29267,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v158(constB186)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29268,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186)))))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29267, 29266])).
% 15.26/11.33 tff(29269,plain,
% 15.26/11.33 (v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29268, 444])).
% 15.26/11.33 tff(29270,plain,
% 15.26/11.33 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB186) <=> v180(constB186))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29271,plain,
% 15.26/11.33 (v158(constB186) <=> v180(constB186)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29270, 358])).
% 15.26/11.33 tff(29272,plain,
% 15.26/11.33 (((~![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)))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29273,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29274,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29273, 29272])).
% 15.26/11.33 tff(29275,plain,
% 15.26/11.33 (v180(constB186) <=> v178(constB185)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29274, 27372, 370])).
% 15.26/11.33 tff(29276,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB185) <=> (v181(constB185) | v185(constB185)))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29277,plain,
% 15.26/11.33 (v178(constB185) <=> (v181(constB185) | v185(constB185))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29276, 384])).
% 15.26/11.33 tff(29278,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185))))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29279,plain,
% 15.26/11.33 ((v181(constB185) <=> (~((~v182(constB185)) | (~v158(constB185))))) <=> (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185)))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29280,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v158(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185))))))),
% 15.26/11.33 inference(monotonicity,[status(thm)],[29279])).
% 15.26/11.33 tff(29281,plain,
% 15.26/11.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v158(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185))))))),
% 15.26/11.33 inference(transitivity,[status(thm)],[29280, 29278])).
% 15.26/11.33 tff(29282,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v158(constB185)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29283,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185)))))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29282, 29281])).
% 15.26/11.33 tff(29284,plain,
% 15.26/11.33 (v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29283, 444])).
% 15.26/11.33 tff(29285,plain,
% 15.26/11.33 (((~v158(constB185)) | (~v182(constB185))) | v182(constB185)),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29286,plain,
% 15.26/11.33 ((~v158(constB185)) | (~v182(constB185))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29285, 27445])).
% 15.26/11.33 tff(29287,plain,
% 15.26/11.33 ((~(v181(constB185) <=> (~((~v158(constB185)) | (~v182(constB185)))))) | (~v181(constB185)) | (~((~v158(constB185)) | (~v182(constB185))))),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29288,plain,
% 15.26/11.33 (~v181(constB185)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29287, 29286, 29284])).
% 15.26/11.33 tff(29289,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29290,plain,
% 15.26/11.33 (v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29289, 396])).
% 15.26/11.33 tff(29291,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB185) <=> (~((~v184(constB185)) | (~v160(constB185)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29292,plain,
% 15.26/11.33 (v187(constB185) <=> (~((~v184(constB185)) | (~v160(constB185))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29291, 408])).
% 15.26/11.33 tff(29293,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB185) <=> v162(constB185))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29294,plain,
% 15.26/11.33 (v160(constB185) <=> v162(constB185)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29293, 549])).
% 15.26/11.33 tff(29295,plain,
% 15.26/11.33 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex0)))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29296,plain,
% 15.26/11.33 (v141(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex0))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29295, 564])).
% 15.26/11.33 tff(29297,plain,
% 15.26/11.33 (((~![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)))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29298,plain,
% 15.26/11.33 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29299,plain,
% 15.26/11.33 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 15.26/11.33 tff(29300,plain,
% 15.26/11.33 (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29299, 1275, 576])).
% 15.26/11.33 tff(29301,plain,
% 15.26/11.33 (((~![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))))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29302,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29303,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 15.26/11.33 tff(29304,plain,
% 15.26/11.33 (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29303, 27456, 596])).
% 15.26/11.33 tff(29305,plain,
% 15.26/11.33 (((~![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))))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29306,plain,
% 15.26/11.33 (((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29307,plain,
% 15.26/11.33 (((~![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)))))))),
% 15.26/11.33 inference(monotonicity,[status(thm)],[29306])).
% 15.26/11.33 tff(29308,plain,
% 15.26/11.33 (((~![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))))))),
% 15.26/11.33 inference(transitivity,[status(thm)],[29307, 29305])).
% 15.26/11.33 tff(29309,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.33 tff(29310,plain,
% 15.26/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))),
% 15.26/11.33 inference(modus_ponens,[status(thm)],[29309, 29308])).
% 15.26/11.33 tff(29311,plain,
% 15.26/11.33 (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29310, 27456, 616])).
% 15.26/11.33 tff(29312,plain,
% 15.26/11.33 (((~v1(constB185)) | (~v102(constB185))) | v1(constB185)),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29313,plain,
% 15.26/11.33 ((~v1(constB185)) | (~v102(constB185))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29312, 27431])).
% 15.26/11.33 tff(29314,plain,
% 15.26/11.33 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185)) | (~((~v1(constB185)) | (~v102(constB185))))),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29315,plain,
% 15.26/11.33 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29314, 29313])).
% 15.26/11.33 tff(29316,plain,
% 15.26/11.33 (~v101(constB185)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29315, 29311])).
% 15.26/11.33 tff(29317,plain,
% 15.26/11.33 (((~v101(constB185)) | (~v110(constB185))) | v101(constB185)),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29318,plain,
% 15.26/11.33 ((~v101(constB185)) | (~v110(constB185))),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29317, 29316])).
% 15.26/11.33 tff(29319,plain,
% 15.26/11.33 ((~(v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))) | (~v100(constB185)) | (~((~v101(constB185)) | (~v110(constB185))))),
% 15.26/11.33 inference(tautology,[status(thm)],[])).
% 15.26/11.33 tff(29320,plain,
% 15.26/11.33 (~v100(constB185)),
% 15.26/11.33 inference(unit_resolution,[status(thm)],[29319, 29318, 29304])).
% 15.26/11.33 tff(29321,plain,
% 15.26/11.33 (((~![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))))),
% 15.26/11.33 inference(rewrite,[status(thm)],[])).
% 15.26/11.33 tff(29322,plain,
% 15.26/11.33 ((~![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))))),
% 15.26/11.33 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29323,plain,
% 15.26/11.34 ((~![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)))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29322, 29321])).
% 15.26/11.34 tff(29324,plain,
% 15.26/11.34 (v100(constB185) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29323, 27456, 645])).
% 15.26/11.34 tff(29325,plain,
% 15.26/11.34 (![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29324, 29320])).
% 15.26/11.34 tff(29326,plain,
% 15.26/11.34 (((~![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)))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29327,plain,
% 15.26/11.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29328,plain,
% 15.26/11.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29327, 29326])).
% 15.26/11.34 tff(29329,plain,
% 15.26/11.34 (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29328, 1275, 29325])).
% 15.26/11.34 tff(29330,plain,
% 15.26/11.34 (((~![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))))))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29331,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29332,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29331, 29330])).
% 15.26/11.34 tff(29333,plain,
% 15.26/11.34 (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29332, 27502, 596])).
% 15.26/11.34 tff(29334,plain,
% 15.26/11.34 (((~![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))))))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29335,plain,
% 15.26/11.34 (((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29336,plain,
% 15.26/11.34 (((~![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)))))))),
% 15.26/11.34 inference(monotonicity,[status(thm)],[29335])).
% 15.26/11.34 tff(29337,plain,
% 15.26/11.34 (((~![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))))))),
% 15.26/11.34 inference(transitivity,[status(thm)],[29336, 29334])).
% 15.26/11.34 tff(29338,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29339,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 15.26/11.34 tff(29340,plain,
% 15.26/11.34 (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29339, 27502, 616])).
% 15.26/11.34 tff(29341,plain,
% 15.26/11.34 (((~![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)))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29342,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29343,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 15.26/11.34 tff(29344,plain,
% 15.26/11.34 ((~v102(constB184)) <=> v104(constB184)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29343, 27502, 678])).
% 15.26/11.34 tff(29345,plain,
% 15.26/11.34 (((~![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)))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29346,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29347,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 15.26/11.34 tff(29348,plain,
% 15.26/11.34 (v104(constB184) <=> v1(constB183)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29347, 27502, 692])).
% 15.26/11.34 tff(29349,plain,
% 15.26/11.34 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184)) | v1(constB183)),
% 15.26/11.34 inference(tautology,[status(thm)],[])).
% 15.26/11.34 tff(29350,plain,
% 15.26/11.34 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29349, 27566])).
% 15.26/11.34 tff(29351,plain,
% 15.26/11.34 (~v104(constB184)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29350, 29348])).
% 15.26/11.34 tff(29352,plain,
% 15.26/11.34 ((~((~v102(constB184)) <=> v104(constB184))) | v102(constB184) | v104(constB184)),
% 15.26/11.34 inference(tautology,[status(thm)],[])).
% 15.26/11.34 tff(29353,plain,
% 15.26/11.34 (v102(constB184)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29352, 29351, 29344])).
% 15.26/11.34 tff(29354,plain,
% 15.26/11.34 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v1(constB184)) | (~v102(constB184))),
% 15.26/11.34 inference(tautology,[status(thm)],[])).
% 15.26/11.34 tff(29355,plain,
% 15.26/11.34 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v102(constB184))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29354, 27473])).
% 15.26/11.34 tff(29356,plain,
% 15.26/11.34 (~((~v1(constB184)) | (~v102(constB184)))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29355, 29353])).
% 15.26/11.34 tff(29357,plain,
% 15.26/11.34 ((~(v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))) | v101(constB184) | ((~v1(constB184)) | (~v102(constB184)))),
% 15.26/11.34 inference(tautology,[status(thm)],[])).
% 15.26/11.34 tff(29358,plain,
% 15.26/11.34 (v101(constB184)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29357, 29356, 29340])).
% 15.26/11.34 tff(29359,plain,
% 15.26/11.34 (((~![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)))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29360,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29361,plain,
% 15.26/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183))),
% 15.26/11.34 inference(modus_ponens,[status(thm)],[29360, 29359])).
% 15.26/11.34 tff(29362,plain,
% 15.26/11.34 (v110(constB184) <=> v108(constB183)),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29361, 27502, 722])).
% 15.26/11.34 tff(29363,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB183) <=> (v111(constB183) | v112(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29364,plain,
% 15.26/11.34 (v108(constB183) <=> (v111(constB183) | v112(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29363, 733])).
% 15.26/11.34 tff(29365,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29366,plain,
% 15.26/11.34 (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183))))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29365, 745])).
% 15.26/11.34 tff(29367,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB183) <=> (v114(constB183) | v125(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29368,plain,
% 15.26/11.34 (v113(constB183) <=> (v114(constB183) | v125(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29367, 754])).
% 15.26/11.34 tff(29369,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB183) <=> (v115(constB183) | v124(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29370,plain,
% 15.26/11.34 (v114(constB183) <=> (v115(constB183) | v124(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29369, 763])).
% 15.26/11.34 tff(29371,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB183) <=> (v116(constB183) | v123(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29372,plain,
% 15.26/11.34 (v115(constB183) <=> (v116(constB183) | v123(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29371, 772])).
% 15.26/11.34 tff(29373,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB183) <=> (v117(constB183) | v122(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29374,plain,
% 15.26/11.34 (v116(constB183) <=> (v117(constB183) | v122(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29373, 885])).
% 15.26/11.34 tff(29375,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB183) <=> (v118(constB183) | v121(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29376,plain,
% 15.26/11.34 (v117(constB183) <=> (v118(constB183) | v121(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29375, 1000])).
% 15.26/11.34 tff(29377,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB183) <=> (v119(constB183) | v120(constB183)))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.34 tff(29378,plain,
% 15.26/11.34 (v118(constB183) <=> (v119(constB183) | v120(constB183))),
% 15.26/11.34 inference(unit_resolution,[status(thm)],[29377, 1117])).
% 15.26/11.34 tff(29379,plain,
% 15.26/11.34 (((~![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))))))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29380,plain,
% 15.26/11.34 ((v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0))))) <=> (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))),
% 15.26/11.34 inference(rewrite,[status(thm)],[])).
% 15.26/11.34 tff(29381,plain,
% 15.26/11.34 (((~![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))))))),
% 15.26/11.34 inference(monotonicity,[status(thm)],[29380])).
% 15.26/11.34 tff(29382,plain,
% 15.26/11.34 (((~![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))))))),
% 15.26/11.34 inference(transitivity,[status(thm)],[29381, 29379])).
% 15.26/11.34 tff(29383,plain,
% 15.26/11.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))))),
% 15.26/11.34 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29384,plain,
% 15.26/11.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))),
% 15.26/11.35 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 15.26/11.35 tff(29385,plain,
% 15.26/11.35 (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29384, 1132])).
% 15.26/11.35 tff(29386,plain,
% 15.26/11.35 ((~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))) | v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29387,plain,
% 15.26/11.35 (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29386, 29131, 29094, 29057])).
% 15.26/11.35 tff(29388,plain,
% 15.26/11.35 ((~(v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))) | v120(constB183) | (v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29389,plain,
% 15.26/11.35 (v120(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29388, 29387, 29385])).
% 15.26/11.35 tff(29390,plain,
% 15.26/11.35 ((v119(constB183) | v120(constB183)) | (~v120(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29391,plain,
% 15.26/11.35 (v119(constB183) | v120(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29390, 29389])).
% 15.26/11.35 tff(29392,plain,
% 15.26/11.35 ((~(v118(constB183) <=> (v119(constB183) | v120(constB183)))) | v118(constB183) | (~(v119(constB183) | v120(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29393,plain,
% 15.26/11.35 (v118(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29392, 29391, 29378])).
% 15.26/11.35 tff(29394,plain,
% 15.26/11.35 ((v118(constB183) | v121(constB183)) | (~v118(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29395,plain,
% 15.26/11.35 (v118(constB183) | v121(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29394, 29393])).
% 15.26/11.35 tff(29396,plain,
% 15.26/11.35 ((~(v117(constB183) <=> (v118(constB183) | v121(constB183)))) | v117(constB183) | (~(v118(constB183) | v121(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29397,plain,
% 15.26/11.35 (v117(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29396, 29395, 29376])).
% 15.26/11.35 tff(29398,plain,
% 15.26/11.35 ((v117(constB183) | v122(constB183)) | (~v117(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29399,plain,
% 15.26/11.35 (v117(constB183) | v122(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29398, 29397])).
% 15.26/11.35 tff(29400,plain,
% 15.26/11.35 ((~(v116(constB183) <=> (v117(constB183) | v122(constB183)))) | v116(constB183) | (~(v117(constB183) | v122(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29401,plain,
% 15.26/11.35 (v116(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29400, 29399, 29374])).
% 15.26/11.35 tff(29402,plain,
% 15.26/11.35 ((v116(constB183) | v123(constB183)) | (~v116(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29403,plain,
% 15.26/11.35 (v116(constB183) | v123(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29402, 29401])).
% 15.26/11.35 tff(29404,plain,
% 15.26/11.35 ((~(v115(constB183) <=> (v116(constB183) | v123(constB183)))) | v115(constB183) | (~(v116(constB183) | v123(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29405,plain,
% 15.26/11.35 (v115(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29404, 29403, 29372])).
% 15.26/11.35 tff(29406,plain,
% 15.26/11.35 ((v115(constB183) | v124(constB183)) | (~v115(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29407,plain,
% 15.26/11.35 (v115(constB183) | v124(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29406, 29405])).
% 15.26/11.35 tff(29408,plain,
% 15.26/11.35 ((~(v114(constB183) <=> (v115(constB183) | v124(constB183)))) | v114(constB183) | (~(v115(constB183) | v124(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29409,plain,
% 15.26/11.35 (v114(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29408, 29407, 29370])).
% 15.26/11.35 tff(29410,plain,
% 15.26/11.35 ((v114(constB183) | v125(constB183)) | (~v114(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29411,plain,
% 15.26/11.35 (v114(constB183) | v125(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29410, 29409])).
% 15.26/11.35 tff(29412,plain,
% 15.26/11.35 ((~(v113(constB183) <=> (v114(constB183) | v125(constB183)))) | v113(constB183) | (~(v114(constB183) | v125(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29413,plain,
% 15.26/11.35 (v113(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29412, 29411, 29368])).
% 15.26/11.35 tff(29414,plain,
% 15.26/11.35 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB183)) <=> v111(constB183))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29415,plain,
% 15.26/11.35 ((~v126(constB183)) <=> v111(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29414, 1345])).
% 15.26/11.35 tff(29416,plain,
% 15.26/11.35 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB183) <=> v26(constB183))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29417,plain,
% 15.26/11.35 (v111(constB183) <=> v26(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29416, 1357])).
% 15.26/11.35 tff(29418,plain,
% 15.26/11.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29419,plain,
% 15.26/11.35 (~v26(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29418, 1369])).
% 15.26/11.35 tff(29420,plain,
% 15.26/11.35 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183)) | v26(constB183)),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29421,plain,
% 15.26/11.35 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29420, 29419])).
% 15.26/11.35 tff(29422,plain,
% 15.26/11.35 (~v111(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29421, 29417])).
% 15.26/11.35 tff(29423,plain,
% 15.26/11.35 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183) | v111(constB183)),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29424,plain,
% 15.26/11.35 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29423, 29422])).
% 15.26/11.35 tff(29425,plain,
% 15.26/11.35 (v126(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29424, 29415])).
% 15.26/11.35 tff(29426,plain,
% 15.26/11.35 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183)) | (~v126(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29427,plain,
% 15.26/11.35 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29426, 29425])).
% 15.26/11.35 tff(29428,plain,
% 15.26/11.35 (~((~v113(constB183)) | (~v126(constB183)))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29427, 29413])).
% 15.26/11.35 tff(29429,plain,
% 15.26/11.35 ((~(v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))) | v112(constB183) | ((~v113(constB183)) | (~v126(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29430,plain,
% 15.26/11.35 (v112(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29429, 29428, 29366])).
% 15.26/11.35 tff(29431,plain,
% 15.26/11.35 ((v111(constB183) | v112(constB183)) | (~v112(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29432,plain,
% 15.26/11.35 (v111(constB183) | v112(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29431, 29430])).
% 15.26/11.35 tff(29433,plain,
% 15.26/11.35 ((~(v108(constB183) <=> (v111(constB183) | v112(constB183)))) | v108(constB183) | (~(v111(constB183) | v112(constB183)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29434,plain,
% 15.26/11.35 (v108(constB183)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29433, 29432, 29364])).
% 15.26/11.35 tff(29435,plain,
% 15.26/11.35 ((~(v110(constB184) <=> v108(constB183))) | v110(constB184) | (~v108(constB183))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29436,plain,
% 15.26/11.35 (v110(constB184)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29435, 29434, 29362])).
% 15.26/11.35 tff(29437,plain,
% 15.26/11.35 ((~((~v101(constB184)) | (~v110(constB184)))) | (~v101(constB184)) | (~v110(constB184))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29438,plain,
% 15.26/11.35 (~((~v101(constB184)) | (~v110(constB184)))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29437, 29436, 29358])).
% 15.26/11.35 tff(29439,plain,
% 15.26/11.35 ((~(v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))) | v100(constB184) | ((~v101(constB184)) | (~v110(constB184)))),
% 15.26/11.35 inference(tautology,[status(thm)],[])).
% 15.26/11.35 tff(29440,plain,
% 15.26/11.35 (v100(constB184)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29439, 29438, 29333])).
% 15.26/11.35 tff(29441,plain,
% 15.26/11.35 (((~![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))))),
% 15.26/11.35 inference(rewrite,[status(thm)],[])).
% 15.26/11.35 tff(29442,plain,
% 15.26/11.35 ((~![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))))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29443,plain,
% 15.26/11.35 ((~![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)))),
% 15.26/11.35 inference(modus_ponens,[status(thm)],[29442, 29441])).
% 15.26/11.35 tff(29444,plain,
% 15.26/11.35 ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29443, 1405])).
% 15.26/11.35 tff(29445,plain,
% 15.26/11.35 (![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29444, 29440])).
% 15.26/11.35 tff(29446,plain,
% 15.26/11.35 (((~![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)))),
% 15.26/11.35 inference(rewrite,[status(thm)],[])).
% 15.26/11.35 tff(29447,plain,
% 15.26/11.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29448,plain,
% 15.26/11.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0))),
% 15.26/11.35 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 15.26/11.35 tff(29449,plain,
% 15.26/11.35 (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29448, 1275, 29445])).
% 15.26/11.35 tff(29450,plain,
% 15.26/11.35 (((~![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))))),
% 15.26/11.35 inference(rewrite,[status(thm)],[])).
% 15.26/11.35 tff(29451,plain,
% 15.26/11.35 ((~![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))))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29452,plain,
% 15.26/11.35 ((~![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)))),
% 15.26/11.35 inference(modus_ponens,[status(thm)],[29451, 29450])).
% 15.26/11.35 tff(29453,plain,
% 15.26/11.35 (![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29452, 27502, 1427])).
% 15.26/11.35 tff(29454,plain,
% 15.26/11.35 (((~![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)))),
% 15.26/11.35 inference(rewrite,[status(thm)],[])).
% 15.26/11.35 tff(29455,plain,
% 15.26/11.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))),
% 15.26/11.35 inference(quant_inst,[status(thm)],[])).
% 15.26/11.35 tff(29456,plain,
% 15.26/11.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0))),
% 15.26/11.35 inference(modus_ponens,[status(thm)],[29455, 29454])).
% 15.26/11.35 tff(29457,plain,
% 15.26/11.35 (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)),
% 15.26/11.35 inference(unit_resolution,[status(thm)],[29456, 1275, 29453])).
% 15.26/11.35 tff(29458,plain,
% 15.26/11.35 (((~![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))))),
% 15.30/11.35 inference(rewrite,[status(thm)],[])).
% 15.30/11.35 tff(29459,plain,
% 15.30/11.35 ((~![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))))),
% 15.30/11.35 inference(quant_inst,[status(thm)],[])).
% 15.30/11.35 tff(29460,plain,
% 15.30/11.35 ((~![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)))),
% 15.30/11.35 inference(modus_ponens,[status(thm)],[29459, 29458])).
% 15.30/11.35 tff(29461,plain,
% 15.30/11.35 (![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))),
% 15.30/11.35 inference(unit_resolution,[status(thm)],[29460, 1448, 29422])).
% 15.30/11.35 tff(29462,plain,
% 15.30/11.35 (((~![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)))),
% 15.30/11.35 inference(rewrite,[status(thm)],[])).
% 15.30/11.35 tff(29463,plain,
% 15.30/11.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))),
% 15.30/11.35 inference(quant_inst,[status(thm)],[])).
% 15.30/11.35 tff(29464,plain,
% 15.30/11.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0))),
% 15.30/11.35 inference(modus_ponens,[status(thm)],[29463, 29462])).
% 15.30/11.35 tff(29465,plain,
% 15.30/11.35 (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)),
% 15.30/11.35 inference(unit_resolution,[status(thm)],[29464, 1275, 29461])).
% 15.30/11.35 tff(29466,plain,
% 15.30/11.35 (((~![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))))),
% 15.30/11.35 inference(rewrite,[status(thm)],[])).
% 15.30/11.35 tff(29467,plain,
% 15.30/11.35 ((~![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))))),
% 15.30/11.35 inference(quant_inst,[status(thm)],[])).
% 15.30/11.35 tff(29468,plain,
% 15.30/11.35 ((~![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)))),
% 15.30/11.35 inference(modus_ponens,[status(thm)],[29467, 29466])).
% 15.30/11.35 tff(29469,plain,
% 15.30/11.35 ((~v120(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))),
% 15.30/11.35 inference(unit_resolution,[status(thm)],[29468, 1652])).
% 15.30/11.35 tff(29470,plain,
% 15.30/11.35 (![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))),
% 15.30/11.35 inference(unit_resolution,[status(thm)],[29469, 29389])).
% 15.30/11.35 tff(29471,plain,
% 15.30/11.35 (((~![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)))),
% 15.30/11.35 inference(rewrite,[status(thm)],[])).
% 15.30/11.35 tff(29472,plain,
% 15.30/11.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b010(bitIndex0)))),
% 15.30/11.35 inference(quant_inst,[status(thm)],[])).
% 15.30/11.35 tff(29473,plain,
% 15.30/11.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b010(bitIndex0))),
% 15.30/11.35 inference(modus_ponens,[status(thm)],[29472, 29471])).
% 15.30/11.35 tff(29474,plain,
% 15.30/11.36 (v130(constB183, bitIndex0) <=> b010(bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29473, 1275, 29470])).
% 15.30/11.36 tff(29475,plain,
% 15.30/11.36 ((~(v130(constB183, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB183, bitIndex0)) | b010(bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29476,plain,
% 15.30/11.36 ((~(v130(constB183, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB183, bitIndex0))),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29475, 1698])).
% 15.30/11.36 tff(29477,plain,
% 15.30/11.36 (~v130(constB183, bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29476, 29474])).
% 15.30/11.36 tff(29478,plain,
% 15.30/11.36 ((~(v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0))) | (~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29479,plain,
% 15.30/11.36 (~v127(constB183, bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29478, 29477, 29465])).
% 15.30/11.36 tff(29480,plain,
% 15.30/11.36 ((~(v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0))) | (~v129(constB184, bitIndex0)) | v127(constB183, bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29481,plain,
% 15.30/11.36 (~v129(constB184, bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29480, 29479, 29457])).
% 15.30/11.36 tff(29482,plain,
% 15.30/11.36 ((~(v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29483,plain,
% 15.30/11.36 (~v90(constB184, bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29482, 29481, 29449])).
% 15.30/11.36 tff(29484,plain,
% 15.30/11.36 ((~(v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0))) | (~v90(constB185, bitIndex0)) | v90(constB184, bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29485,plain,
% 15.30/11.36 (~v90(constB185, bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29484, 29483, 29329])).
% 15.30/11.36 tff(29486,plain,
% 15.30/11.36 ((~(v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0))) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29487,plain,
% 15.30/11.36 (~v88(constB185, bitIndex0)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29486, 29485, 29300])).
% 15.30/11.36 tff(29488,plain,
% 15.30/11.36 ((v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex0))) | v88(constB185, bitIndex0)),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29489,plain,
% 15.30/11.36 (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex0))),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29488, 29487])).
% 15.30/11.36 tff(29490,plain,
% 15.30/11.36 ((~(v141(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex0)))))) | (~v141(constB185)) | (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex0))))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29491,plain,
% 15.30/11.36 (~v141(constB185)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29490, 29489, 29296])).
% 15.30/11.36 tff(29492,plain,
% 15.30/11.36 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB185) <=> (v139(constB185) | v140(constB185)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29493,plain,
% 15.30/11.36 (v170(constB185) <=> (v139(constB185) | v140(constB185))),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29492, 2216])).
% 15.30/11.36 tff(29494,plain,
% 15.30/11.36 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2))))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29495,plain,
% 15.30/11.36 (v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)))),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29494, 2231])).
% 15.30/11.36 tff(29496,plain,
% 15.30/11.36 (((~![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)))),
% 15.30/11.36 inference(rewrite,[status(thm)],[])).
% 15.30/11.36 tff(29497,plain,
% 15.30/11.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29498,plain,
% 15.30/11.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1))),
% 15.30/11.36 inference(modus_ponens,[status(thm)],[29497, 29496])).
% 15.30/11.36 tff(29499,plain,
% 15.30/11.36 (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29498, 1288, 576])).
% 15.30/11.36 tff(29500,plain,
% 15.30/11.36 (((~![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)))),
% 15.30/11.36 inference(rewrite,[status(thm)],[])).
% 15.30/11.36 tff(29501,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29502,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1))),
% 15.30/11.36 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 15.30/11.36 tff(29503,plain,
% 15.30/11.36 (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29502, 1288, 29325])).
% 15.30/11.36 tff(29504,plain,
% 15.30/11.36 (((~![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)))),
% 15.30/11.36 inference(rewrite,[status(thm)],[])).
% 15.30/11.36 tff(29505,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29506,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1))),
% 15.30/11.36 inference(modus_ponens,[status(thm)],[29505, 29504])).
% 15.30/11.36 tff(29507,plain,
% 15.30/11.36 (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29506, 1288, 29445])).
% 15.30/11.36 tff(29508,plain,
% 15.30/11.36 (((~![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)))),
% 15.30/11.36 inference(rewrite,[status(thm)],[])).
% 15.30/11.36 tff(29509,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29510,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1))),
% 15.30/11.36 inference(modus_ponens,[status(thm)],[29509, 29508])).
% 15.30/11.36 tff(29511,plain,
% 15.30/11.36 (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29510, 1288, 29453])).
% 15.30/11.36 tff(29512,plain,
% 15.30/11.36 (((~![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)))),
% 15.30/11.36 inference(rewrite,[status(thm)],[])).
% 15.30/11.36 tff(29513,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29514,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1))),
% 15.30/11.36 inference(modus_ponens,[status(thm)],[29513, 29512])).
% 15.30/11.36 tff(29515,plain,
% 15.30/11.36 (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29514, 1288, 29461])).
% 15.30/11.36 tff(29516,plain,
% 15.30/11.36 (((~![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)))),
% 15.30/11.36 inference(rewrite,[status(thm)],[])).
% 15.30/11.36 tff(29517,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b010(bitIndex1)))),
% 15.30/11.36 inference(quant_inst,[status(thm)],[])).
% 15.30/11.36 tff(29518,plain,
% 15.30/11.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b010(bitIndex1))),
% 15.30/11.36 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 15.30/11.36 tff(29519,plain,
% 15.30/11.36 (v130(constB183, bitIndex1) <=> b010(bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29518, 1288, 29470])).
% 15.30/11.36 tff(29520,plain,
% 15.30/11.36 ((~(v130(constB183, bitIndex1) <=> b010(bitIndex1))) | v130(constB183, bitIndex1) | (~b010(bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29521,plain,
% 15.30/11.36 ((~(v130(constB183, bitIndex1) <=> b010(bitIndex1))) | v130(constB183, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29520, 1732])).
% 15.30/11.36 tff(29522,plain,
% 15.30/11.36 (v130(constB183, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29521, 29519])).
% 15.30/11.36 tff(29523,plain,
% 15.30/11.36 ((~(v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1))) | v127(constB183, bitIndex1) | (~v130(constB183, bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29524,plain,
% 15.30/11.36 (v127(constB183, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29523, 29522, 29515])).
% 15.30/11.36 tff(29525,plain,
% 15.30/11.36 ((~(v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1))) | v129(constB184, bitIndex1) | (~v127(constB183, bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29526,plain,
% 15.30/11.36 (v129(constB184, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29525, 29524, 29511])).
% 15.30/11.36 tff(29527,plain,
% 15.30/11.36 ((~(v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29528,plain,
% 15.30/11.36 (v90(constB184, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29527, 29526, 29507])).
% 15.30/11.36 tff(29529,plain,
% 15.30/11.36 ((~(v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1))) | v90(constB185, bitIndex1) | (~v90(constB184, bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29530,plain,
% 15.30/11.36 (v90(constB185, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29529, 29528, 29503])).
% 15.30/11.36 tff(29531,plain,
% 15.30/11.36 ((~(v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1))) | v88(constB185, bitIndex1) | (~v90(constB185, bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29532,plain,
% 15.30/11.36 (v88(constB185, bitIndex1)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29531, 29530, 29499])).
% 15.30/11.36 tff(29533,plain,
% 15.30/11.36 ((v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1))),
% 15.30/11.36 inference(tautology,[status(thm)],[])).
% 15.30/11.36 tff(29534,plain,
% 15.30/11.36 (v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)),
% 15.30/11.36 inference(unit_resolution,[status(thm)],[29533, 29532])).
% 15.30/11.36 tff(29535,plain,
% 15.30/11.36 ((~(v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2))))) | (~v139(constB185)) | (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29536,plain,
% 15.30/11.37 (~v139(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29535, 29534, 29495])).
% 15.30/11.37 tff(29537,plain,
% 15.30/11.37 (((~![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))))))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29538,plain,
% 15.30/11.37 ((v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0))))) <=> (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29539,plain,
% 15.30/11.37 (((~![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))))))),
% 15.30/11.37 inference(monotonicity,[status(thm)],[29538])).
% 15.30/11.37 tff(29540,plain,
% 15.30/11.37 (((~![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))))))),
% 15.30/11.37 inference(transitivity,[status(thm)],[29539, 29537])).
% 15.30/11.37 tff(29541,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0)))))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29542,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29541, 29540])).
% 15.30/11.37 tff(29543,plain,
% 15.30/11.37 (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29542, 2250])).
% 15.30/11.37 tff(29544,plain,
% 15.30/11.37 ((v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))) | (~v88(constB185, bitIndex1))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29545,plain,
% 15.30/11.37 (v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29544, 29532])).
% 15.30/11.37 tff(29546,plain,
% 15.30/11.37 ((~(v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))) | (~v140(constB185)) | (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29547,plain,
% 15.30/11.37 (~v140(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29546, 29545, 29543])).
% 15.30/11.37 tff(29548,plain,
% 15.30/11.37 ((~(v139(constB185) | v140(constB185))) | v139(constB185) | v140(constB185)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29549,plain,
% 15.30/11.37 (~(v139(constB185) | v140(constB185))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29548, 29547, 29536])).
% 15.30/11.37 tff(29550,plain,
% 15.30/11.37 ((~(v170(constB185) <=> (v139(constB185) | v140(constB185)))) | (~v170(constB185)) | (v139(constB185) | v140(constB185))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29551,plain,
% 15.30/11.37 (~v170(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29550, 29549, 29493])).
% 15.30/11.37 tff(29552,plain,
% 15.30/11.37 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB185) | v170(constB185) | (~v169(constB185)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB185) | v170(constB185) | (~v169(constB185)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29553,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB185) | v170(constB185) | (~v169(constB185)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29554,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB185) | v170(constB185) | (~v169(constB185))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29553, 29552])).
% 15.30/11.37 tff(29555,plain,
% 15.30/11.37 (v141(constB185) | v170(constB185) | (~v169(constB185))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29554, 2278])).
% 15.30/11.37 tff(29556,plain,
% 15.30/11.37 (~v169(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29555, 29551, 29491])).
% 15.30/11.37 tff(29557,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB185) <=> (v145(constB185) | v166(constB185)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29558,plain,
% 15.30/11.37 (v165(constB185) <=> (v145(constB185) | v166(constB185))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29557, 2293])).
% 15.30/11.37 tff(29559,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB185) <=> (v142(constB185) | v167(constB185)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29560,plain,
% 15.30/11.37 (v166(constB185) <=> (v142(constB185) | v167(constB185))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29559, 2804])).
% 15.30/11.37 tff(29561,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB185) <=> (v143(constB185) | v144(constB185)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29562,plain,
% 15.30/11.37 (v142(constB185) <=> (v143(constB185) | v144(constB185))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29561, 2813])).
% 15.30/11.37 tff(29563,plain,
% 15.30/11.37 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29564,plain,
% 15.30/11.37 (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1))))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29563, 16089])).
% 15.30/11.37 tff(29565,plain,
% 15.30/11.37 (((~![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)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29566,plain,
% 15.30/11.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29567,plain,
% 15.30/11.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29566, 29565])).
% 15.30/11.37 tff(29568,plain,
% 15.30/11.37 (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29567, 579, 576])).
% 15.30/11.37 tff(29569,plain,
% 15.30/11.37 (((~![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)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29570,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29571,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29570, 29569])).
% 15.30/11.37 tff(29572,plain,
% 15.30/11.37 (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29571, 579, 29325])).
% 15.30/11.37 tff(29573,plain,
% 15.30/11.37 (((~![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)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29574,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29575,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29574, 29573])).
% 15.30/11.37 tff(29576,plain,
% 15.30/11.37 (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29575, 579, 29445])).
% 15.30/11.37 tff(29577,plain,
% 15.30/11.37 (((~![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)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29578,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29579,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29578, 29577])).
% 15.30/11.37 tff(29580,plain,
% 15.30/11.37 (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29579, 579, 29453])).
% 15.30/11.37 tff(29581,plain,
% 15.30/11.37 (((~![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)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29582,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29583,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 15.30/11.37 tff(29584,plain,
% 15.30/11.37 (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29583, 579, 29461])).
% 15.30/11.37 tff(29585,plain,
% 15.30/11.37 (((~![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)))),
% 15.30/11.37 inference(rewrite,[status(thm)],[])).
% 15.30/11.37 tff(29586,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b010(bitIndex2)))),
% 15.30/11.37 inference(quant_inst,[status(thm)],[])).
% 15.30/11.37 tff(29587,plain,
% 15.30/11.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b010(bitIndex2))),
% 15.30/11.37 inference(modus_ponens,[status(thm)],[29586, 29585])).
% 15.30/11.37 tff(29588,plain,
% 15.30/11.37 (v130(constB183, bitIndex2) <=> b010(bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29587, 579, 29470])).
% 15.30/11.37 tff(29589,plain,
% 15.30/11.37 ((~(v130(constB183, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB183, bitIndex2)) | b010(bitIndex2)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29590,plain,
% 15.30/11.37 ((~(v130(constB183, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB183, bitIndex2))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29589, 1664])).
% 15.30/11.37 tff(29591,plain,
% 15.30/11.37 (~v130(constB183, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29590, 29588])).
% 15.30/11.37 tff(29592,plain,
% 15.30/11.37 ((~(v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2))) | (~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29593,plain,
% 15.30/11.37 (~v127(constB183, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29592, 29591, 29584])).
% 15.30/11.37 tff(29594,plain,
% 15.30/11.37 ((~(v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2))) | (~v129(constB184, bitIndex2)) | v127(constB183, bitIndex2)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29595,plain,
% 15.30/11.37 (~v129(constB184, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29594, 29593, 29580])).
% 15.30/11.37 tff(29596,plain,
% 15.30/11.37 ((~(v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29597,plain,
% 15.30/11.37 (~v90(constB184, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29596, 29595, 29576])).
% 15.30/11.37 tff(29598,plain,
% 15.30/11.37 ((~(v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2))) | (~v90(constB185, bitIndex2)) | v90(constB184, bitIndex2)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29599,plain,
% 15.30/11.37 (~v90(constB185, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29598, 29597, 29572])).
% 15.30/11.37 tff(29600,plain,
% 15.30/11.37 ((~(v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2))) | (~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2)),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29601,plain,
% 15.30/11.37 (~v88(constB185, bitIndex2)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29600, 29599, 29568])).
% 15.30/11.37 tff(29602,plain,
% 15.30/11.37 ((~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29603,plain,
% 15.30/11.37 (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29602, 29532, 29487, 29601])).
% 15.30/11.37 tff(29604,plain,
% 15.30/11.37 ((~(v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))) | v143(constB185) | (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29605,plain,
% 15.30/11.37 (v143(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29604, 29603, 29564])).
% 15.30/11.37 tff(29606,plain,
% 15.30/11.37 ((v143(constB185) | v144(constB185)) | (~v143(constB185))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29607,plain,
% 15.30/11.37 (v143(constB185) | v144(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29606, 29605])).
% 15.30/11.37 tff(29608,plain,
% 15.30/11.37 ((~(v142(constB185) <=> (v143(constB185) | v144(constB185)))) | v142(constB185) | (~(v143(constB185) | v144(constB185)))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29609,plain,
% 15.30/11.37 (v142(constB185)),
% 15.30/11.37 inference(unit_resolution,[status(thm)],[29608, 29607, 29562])).
% 15.30/11.37 tff(29610,plain,
% 15.30/11.37 ((v142(constB185) | v167(constB185)) | (~v142(constB185))),
% 15.30/11.37 inference(tautology,[status(thm)],[])).
% 15.30/11.37 tff(29611,plain,
% 15.30/11.38 (v142(constB185) | v167(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29610, 29609])).
% 15.30/11.38 tff(29612,plain,
% 15.30/11.38 ((~(v166(constB185) <=> (v142(constB185) | v167(constB185)))) | v166(constB185) | (~(v142(constB185) | v167(constB185)))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29613,plain,
% 15.30/11.38 (v166(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29612, 29611, 29560])).
% 15.30/11.38 tff(29614,plain,
% 15.30/11.38 ((v145(constB185) | v166(constB185)) | (~v166(constB185))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29615,plain,
% 15.30/11.38 (v145(constB185) | v166(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29614, 29613])).
% 15.30/11.38 tff(29616,plain,
% 15.30/11.38 ((~(v165(constB185) <=> (v145(constB185) | v166(constB185)))) | v165(constB185) | (~(v145(constB185) | v166(constB185)))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29617,plain,
% 15.30/11.38 (v165(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29616, 29615, 29558])).
% 15.30/11.38 tff(29618,plain,
% 15.30/11.38 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB185)) | (v162(constB185) <=> v169(constB185)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB185)) | (v162(constB185) <=> v169(constB185)))),
% 15.30/11.38 inference(rewrite,[status(thm)],[])).
% 15.30/11.38 tff(29619,plain,
% 15.30/11.38 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB185)) | (v162(constB185) <=> v169(constB185)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29620,plain,
% 15.30/11.38 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB185)) | (v162(constB185) <=> v169(constB185))),
% 15.30/11.38 inference(modus_ponens,[status(thm)],[29619, 29618])).
% 15.30/11.38 tff(29621,plain,
% 15.30/11.38 ((~v165(constB185)) | (v162(constB185) <=> v169(constB185))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29620, 2426])).
% 15.30/11.38 tff(29622,plain,
% 15.30/11.38 (v162(constB185) <=> v169(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29621, 29617])).
% 15.30/11.38 tff(29623,plain,
% 15.30/11.38 ((~(v162(constB185) <=> v169(constB185))) | (~v162(constB185)) | v169(constB185)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29624,plain,
% 15.30/11.38 (~v162(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29623, 29622, 29556])).
% 15.30/11.38 tff(29625,plain,
% 15.30/11.38 ((~(v160(constB185) <=> v162(constB185))) | (~v160(constB185)) | v162(constB185)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29626,plain,
% 15.30/11.38 ((~(v160(constB185) <=> v162(constB185))) | (~v160(constB185))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29625, 29624])).
% 15.30/11.38 tff(29627,plain,
% 15.30/11.38 (~v160(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29626, 29294])).
% 15.30/11.38 tff(29628,plain,
% 15.30/11.38 (((~v184(constB185)) | (~v160(constB185))) | v160(constB185)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29629,plain,
% 15.30/11.38 ((~v184(constB185)) | (~v160(constB185))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29628, 29627])).
% 15.30/11.38 tff(29630,plain,
% 15.30/11.38 ((~(v187(constB185) <=> (~((~v184(constB185)) | (~v160(constB185)))))) | (~v187(constB185)) | (~((~v184(constB185)) | (~v160(constB185))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29631,plain,
% 15.30/11.38 (~v187(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29630, 29629, 29292])).
% 15.30/11.38 tff(29632,plain,
% 15.30/11.38 (((~v186(constB185)) | (~v187(constB185))) | v187(constB185)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29633,plain,
% 15.30/11.38 ((~v186(constB185)) | (~v187(constB185))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29632, 29631])).
% 15.30/11.38 tff(29634,plain,
% 15.30/11.38 ((~(v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185)))))) | (~v185(constB185)) | (~((~v186(constB185)) | (~v187(constB185))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29635,plain,
% 15.30/11.38 (~v185(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29634, 29633, 29290])).
% 15.30/11.38 tff(29636,plain,
% 15.30/11.38 ((~(v181(constB185) | v185(constB185))) | v181(constB185) | v185(constB185)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29637,plain,
% 15.30/11.38 (~(v181(constB185) | v185(constB185))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29636, 29635, 29288])).
% 15.30/11.38 tff(29638,plain,
% 15.30/11.38 ((~(v178(constB185) <=> (v181(constB185) | v185(constB185)))) | (~v178(constB185)) | (v181(constB185) | v185(constB185))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29639,plain,
% 15.30/11.38 (~v178(constB185)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29638, 29637, 29277])).
% 15.30/11.38 tff(29640,plain,
% 15.30/11.38 ((~(v180(constB186) <=> v178(constB185))) | (~v180(constB186)) | v178(constB185)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29641,plain,
% 15.30/11.38 (~v180(constB186)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29640, 29639, 29275])).
% 15.30/11.38 tff(29642,plain,
% 15.30/11.38 ((~(v158(constB186) <=> v180(constB186))) | (~v158(constB186)) | v180(constB186)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29643,plain,
% 15.30/11.38 (~v158(constB186)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29642, 29641, 29271])).
% 15.30/11.38 tff(29644,plain,
% 15.30/11.38 (((~v158(constB186)) | (~v182(constB186))) | v158(constB186)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29645,plain,
% 15.30/11.38 ((~v158(constB186)) | (~v182(constB186))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29644, 29643])).
% 15.30/11.38 tff(29646,plain,
% 15.30/11.38 ((~(v181(constB186) <=> (~((~v158(constB186)) | (~v182(constB186)))))) | (~v181(constB186)) | (~((~v158(constB186)) | (~v182(constB186))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29647,plain,
% 15.30/11.38 (~v181(constB186)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29646, 29645, 29269])).
% 15.30/11.38 tff(29648,plain,
% 15.30/11.38 ((~(v181(constB186) | v185(constB186))) | v181(constB186) | v185(constB186)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29649,plain,
% 15.30/11.38 (~(v181(constB186) | v185(constB186))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29648, 29647, 29262])).
% 15.30/11.38 tff(29650,plain,
% 15.30/11.38 ((~(v178(constB186) <=> (v181(constB186) | v185(constB186)))) | (~v178(constB186)) | (v181(constB186) | v185(constB186))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29651,plain,
% 15.30/11.38 (~v178(constB186)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29650, 29649, 29249])).
% 15.30/11.38 tff(29652,plain,
% 15.30/11.38 ((~(v180(constB187) <=> v178(constB186))) | (~v180(constB187)) | v178(constB186)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29653,plain,
% 15.30/11.38 (~v180(constB187)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29652, 29651, 29247])).
% 15.30/11.38 tff(29654,plain,
% 15.30/11.38 ((~(v158(constB187) <=> v180(constB187))) | (~v158(constB187)) | v180(constB187)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29655,plain,
% 15.30/11.38 (~v158(constB187)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29654, 29653, 29243])).
% 15.30/11.38 tff(29656,plain,
% 15.30/11.38 (((~v158(constB187)) | (~v206(constB187))) | v158(constB187)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29657,plain,
% 15.30/11.38 ((~v158(constB187)) | (~v206(constB187))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29656, 29655])).
% 15.30/11.38 tff(29658,plain,
% 15.30/11.38 ((~(v205(constB187) <=> (~((~v158(constB187)) | (~v206(constB187)))))) | (~v205(constB187)) | (~((~v158(constB187)) | (~v206(constB187))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29659,plain,
% 15.30/11.38 (~v205(constB187)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29658, 29657, 29241])).
% 15.30/11.38 tff(29660,plain,
% 15.30/11.38 ((~(v205(constB187) | v209(constB187))) | v205(constB187) | v209(constB187)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29661,plain,
% 15.30/11.38 (~(v205(constB187) | v209(constB187))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29660, 29659, 29234])).
% 15.30/11.38 tff(29662,plain,
% 15.30/11.38 ((~(v204(constB187) <=> (v205(constB187) | v209(constB187)))) | (~v204(constB187)) | (v205(constB187) | v209(constB187))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29663,plain,
% 15.30/11.38 (~v204(constB187)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29662, 29661, 27313])).
% 15.30/11.38 tff(29664,plain,
% 15.30/11.38 ($false),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29663, 27311])).
% 15.30/11.38 tff(29665,plain,(~(constB187 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.30/11.38 tff(29666,assumption,(constB89 = VarCurr!0), introduced(assumption)).
% 15.30/11.38 tff(29667,plain,
% 15.30/11.38 (v204(constB89) <=> v204(VarCurr!0)),
% 15.30/11.38 inference(monotonicity,[status(thm)],[29666])).
% 15.30/11.38 tff(29668,plain,
% 15.30/11.38 (v204(VarCurr!0) <=> v204(constB89)),
% 15.30/11.38 inference(symmetry,[status(thm)],[29667])).
% 15.30/11.38 tff(29669,plain,
% 15.30/11.38 (v204(constB89)),
% 15.30/11.38 inference(modus_ponens,[status(thm)],[27, 29668])).
% 15.30/11.38 tff(29670,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB89) <=> (v205(constB89) | v209(constB89)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29671,plain,
% 15.30/11.38 (v204(constB89) <=> (v205(constB89) | v209(constB89))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29670, 35])).
% 15.30/11.38 tff(29672,plain,
% 15.30/11.38 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89))))))),
% 15.30/11.38 inference(rewrite,[status(thm)],[])).
% 15.30/11.38 tff(29673,plain,
% 15.30/11.38 ((v209(constB89) <=> (~((~v206(constB89)) | (~v191(constB89))))) <=> (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89)))))),
% 15.30/11.38 inference(rewrite,[status(thm)],[])).
% 15.30/11.38 tff(29674,plain,
% 15.30/11.38 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v206(constB89)) | (~v191(constB89)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89))))))),
% 15.30/11.38 inference(monotonicity,[status(thm)],[29673])).
% 15.30/11.38 tff(29675,plain,
% 15.30/11.38 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v206(constB89)) | (~v191(constB89)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89))))))),
% 15.30/11.38 inference(transitivity,[status(thm)],[29674, 29672])).
% 15.30/11.38 tff(29676,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v206(constB89)) | (~v191(constB89)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29677,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89)))))),
% 15.30/11.38 inference(modus_ponens,[status(thm)],[29676, 29675])).
% 15.30/11.38 tff(29678,plain,
% 15.30/11.38 (v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29677, 47])).
% 15.30/11.38 tff(29679,plain,
% 15.30/11.38 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB89) <=> v196(constB89))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29680,plain,
% 15.30/11.38 (v191(constB89) <=> v196(constB89)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29679, 64])).
% 15.30/11.38 tff(29681,plain,
% 15.30/11.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB88, constB89)) | (v196(constB89) <=> v194(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB88, constB89)) | (v196(constB89) <=> v194(constB88)))),
% 15.30/11.38 inference(rewrite,[status(thm)],[])).
% 15.30/11.38 tff(29682,plain,
% 15.30/11.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB88, constB89)) | (v196(constB89) <=> v194(constB88)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29683,plain,
% 15.30/11.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB88, constB89)) | (v196(constB89) <=> v194(constB88))),
% 15.30/11.38 inference(modus_ponens,[status(thm)],[29682, 29681])).
% 15.30/11.38 tff(29684,plain,
% 15.30/11.38 (v196(constB89) <=> v194(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29683, 4388, 76])).
% 15.30/11.38 tff(29685,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB88) <=> (v197(constB88) | v198(constB88)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29686,plain,
% 15.30/11.38 (v194(constB88) <=> (v197(constB88) | v198(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29685, 90])).
% 15.30/11.38 tff(29687,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB88) <=> (~((~v158(constB88)) | (~v199(constB88)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29688,plain,
% 15.30/11.38 (v198(constB88) <=> (~((~v158(constB88)) | (~v199(constB88))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29687, 102])).
% 15.30/11.38 tff(29689,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB88) <=> (~((~v186(constB88)) | (~v200(constB88)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29690,plain,
% 15.30/11.38 (v199(constB88) <=> (~((~v186(constB88)) | (~v200(constB88))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29689, 114])).
% 15.30/11.38 tff(29691,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB88) <=> (~((~v184(constB88)) | (~v84(constB88)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29692,plain,
% 15.30/11.38 (v200(constB88) <=> (~((~v184(constB88)) | (~v84(constB88))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29691, 126])).
% 15.30/11.38 tff(29693,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29694,plain,
% 15.30/11.38 (v184(constB88) <=> (~((~v39(constB88)) | (~v9(constB88))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29693, 138])).
% 15.30/11.38 tff(29695,plain,
% 15.30/11.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB88)) <=> v1(constB88))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29696,plain,
% 15.30/11.38 ((~v39(constB88)) <=> v1(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29695, 147])).
% 15.30/11.38 tff(29697,plain,
% 15.30/11.38 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88)) | (~v1(constB88))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29698,plain,
% 15.30/11.38 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29697, 4450])).
% 15.30/11.38 tff(29699,plain,
% 15.30/11.38 (~v39(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29698, 29696])).
% 15.30/11.38 tff(29700,plain,
% 15.30/11.38 (((~v39(constB88)) | (~v9(constB88))) | v39(constB88)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29701,plain,
% 15.30/11.38 ((~v39(constB88)) | (~v9(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29700, 29699])).
% 15.30/11.38 tff(29702,plain,
% 15.30/11.38 ((~(v184(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v184(constB88)) | (~((~v39(constB88)) | (~v9(constB88))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29703,plain,
% 15.30/11.38 ((~(v184(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v184(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29702, 29701])).
% 15.30/11.38 tff(29704,plain,
% 15.30/11.38 (~v184(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29703, 29694])).
% 15.30/11.38 tff(29705,plain,
% 15.30/11.38 (((~v184(constB88)) | (~v84(constB88))) | v184(constB88)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29706,plain,
% 15.30/11.38 ((~v184(constB88)) | (~v84(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29705, 29704])).
% 15.30/11.38 tff(29707,plain,
% 15.30/11.38 ((~(v200(constB88) <=> (~((~v184(constB88)) | (~v84(constB88)))))) | (~v200(constB88)) | (~((~v184(constB88)) | (~v84(constB88))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29708,plain,
% 15.30/11.38 ((~(v200(constB88) <=> (~((~v184(constB88)) | (~v84(constB88)))))) | (~v200(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29707, 29706])).
% 15.30/11.38 tff(29709,plain,
% 15.30/11.38 (~v200(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29708, 29692])).
% 15.30/11.38 tff(29710,plain,
% 15.30/11.38 (((~v186(constB88)) | (~v200(constB88))) | v200(constB88)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29711,plain,
% 15.30/11.38 ((~v186(constB88)) | (~v200(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29710, 29709])).
% 15.30/11.38 tff(29712,plain,
% 15.30/11.38 ((~(v199(constB88) <=> (~((~v186(constB88)) | (~v200(constB88)))))) | (~v199(constB88)) | (~((~v186(constB88)) | (~v200(constB88))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29713,plain,
% 15.30/11.38 (~v199(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29712, 29711, 29690])).
% 15.30/11.38 tff(29714,plain,
% 15.30/11.38 (((~v158(constB88)) | (~v199(constB88))) | v199(constB88)),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29715,plain,
% 15.30/11.38 ((~v158(constB88)) | (~v199(constB88))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29714, 29713])).
% 15.30/11.38 tff(29716,plain,
% 15.30/11.38 ((~(v198(constB88) <=> (~((~v158(constB88)) | (~v199(constB88)))))) | (~v198(constB88)) | (~((~v158(constB88)) | (~v199(constB88))))),
% 15.30/11.38 inference(tautology,[status(thm)],[])).
% 15.30/11.38 tff(29717,plain,
% 15.30/11.38 (~v198(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29716, 29715, 29688])).
% 15.30/11.38 tff(29718,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB88) <=> (~((~v182(constB88)) | (~v191(constB88)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29719,plain,
% 15.30/11.38 (v197(constB88) <=> (~((~v182(constB88)) | (~v191(constB88))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29718, 183])).
% 15.30/11.38 tff(29720,plain,
% 15.30/11.38 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB88) <=> v196(constB88))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29721,plain,
% 15.30/11.38 (v191(constB88) <=> v196(constB88)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29720, 64])).
% 15.30/11.38 tff(29722,plain,
% 15.30/11.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB87, constB88)) | (v196(constB88) <=> v194(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB87, constB88)) | (v196(constB88) <=> v194(constB87)))),
% 15.30/11.38 inference(rewrite,[status(thm)],[])).
% 15.30/11.38 tff(29723,plain,
% 15.30/11.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB87, constB88)) | (v196(constB88) <=> v194(constB87)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29724,plain,
% 15.30/11.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB87, constB88)) | (v196(constB88) <=> v194(constB87))),
% 15.30/11.38 inference(modus_ponens,[status(thm)],[29723, 29722])).
% 15.30/11.38 tff(29725,plain,
% 15.30/11.38 (v196(constB88) <=> v194(constB87)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29724, 4420, 76])).
% 15.30/11.38 tff(29726,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB87) <=> (v197(constB87) | v198(constB87)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29727,plain,
% 15.30/11.38 (v194(constB87) <=> (v197(constB87) | v198(constB87))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29726, 90])).
% 15.30/11.38 tff(29728,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB87) <=> (~((~v182(constB87)) | (~v191(constB87)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29729,plain,
% 15.30/11.38 (v197(constB87) <=> (~((~v182(constB87)) | (~v191(constB87))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29728, 183])).
% 15.30/11.38 tff(29730,plain,
% 15.30/11.38 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB87)) <=> v183(constB87))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29731,plain,
% 15.30/11.38 ((~v182(constB87)) <=> v183(constB87)),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29730, 205])).
% 15.30/11.38 tff(29732,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB87) <=> (v184(constB87) | v26(constB87)))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29733,plain,
% 15.30/11.38 (v183(constB87) <=> (v184(constB87) | v26(constB87))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29732, 214])).
% 15.30/11.38 tff(29734,plain,
% 15.30/11.38 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB87) <=> (~((~v39(constB87)) | (~v9(constB87)))))),
% 15.30/11.38 inference(quant_inst,[status(thm)],[])).
% 15.30/11.38 tff(29735,plain,
% 15.30/11.38 (v184(constB87) <=> (~((~v39(constB87)) | (~v9(constB87))))),
% 15.30/11.38 inference(unit_resolution,[status(thm)],[29734, 138])).
% 15.30/11.38 tff(29736,plain,
% 15.30/11.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))),
% 15.30/11.39 inference(rewrite,[status(thm)],[])).
% 15.30/11.39 tff(29737,plain,
% 15.30/11.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29738,plain,
% 15.30/11.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87))),
% 15.30/11.39 inference(modus_ponens,[status(thm)],[29737, 29736])).
% 15.30/11.39 tff(29739,plain,
% 15.30/11.39 (v13(constB88) <=> v9(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29738, 4420, 228])).
% 15.30/11.39 tff(29740,plain,
% 15.30/11.39 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB88) <=> v13(constB88))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29741,plain,
% 15.30/11.39 (v6(constB88) <=> v13(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29740, 242])).
% 15.30/11.39 tff(29742,plain,
% 15.30/11.39 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB88)) <=> v6(constB88))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29743,plain,
% 15.30/11.39 ((~v21(constB88)) <=> v6(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29742, 251])).
% 15.30/11.39 tff(29744,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB88) <=> (v20(constB88) | v21(constB88)))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29745,plain,
% 15.30/11.39 (v19(constB88) <=> (v20(constB88) | v21(constB88))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29744, 260])).
% 15.30/11.39 tff(29746,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88)))))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29747,plain,
% 15.30/11.39 (v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88))))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29746, 272])).
% 15.30/11.39 tff(29748,plain,
% 15.30/11.39 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB88)) <=> v18(constB88))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29749,plain,
% 15.30/11.39 ((~v4(constB88)) <=> v18(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29748, 281])).
% 15.30/11.39 tff(29750,plain,
% 15.30/11.39 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB88)),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29751,plain,
% 15.30/11.39 (v4(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29750, 290])).
% 15.30/11.39 tff(29752,plain,
% 15.30/11.39 ((~((~v4(constB88)) <=> v18(constB88))) | (~v4(constB88)) | (~v18(constB88))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29753,plain,
% 15.30/11.39 (~v18(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29752, 29751, 29749])).
% 15.30/11.39 tff(29754,plain,
% 15.30/11.39 ((~(v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88)))))) | v18(constB88) | ((~v19(constB88)) | (~v22(constB88)))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29755,plain,
% 15.30/11.39 ((~v19(constB88)) | (~v22(constB88))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29754, 29753, 29747])).
% 15.30/11.39 tff(29756,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB88) <=> (v1(constB88) | v6(constB88)))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29757,plain,
% 15.30/11.39 (v22(constB88) <=> (v1(constB88) | v6(constB88))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29756, 303])).
% 15.30/11.39 tff(29758,plain,
% 15.30/11.39 ((v1(constB88) | v6(constB88)) | (~v1(constB88))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29759,plain,
% 15.30/11.39 (v1(constB88) | v6(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29758, 4450])).
% 15.30/11.39 tff(29760,plain,
% 15.30/11.39 ((~(v22(constB88) <=> (v1(constB88) | v6(constB88)))) | v22(constB88) | (~(v1(constB88) | v6(constB88)))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29761,plain,
% 15.30/11.39 ((~(v22(constB88) <=> (v1(constB88) | v6(constB88)))) | v22(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29760, 29759])).
% 15.30/11.39 tff(29762,plain,
% 15.30/11.39 (v22(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29761, 29757])).
% 15.30/11.39 tff(29763,plain,
% 15.30/11.39 ((~((~v19(constB88)) | (~v22(constB88)))) | (~v19(constB88)) | (~v22(constB88))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29764,plain,
% 15.30/11.39 ((~((~v19(constB88)) | (~v22(constB88)))) | (~v19(constB88))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29763, 29762])).
% 15.30/11.39 tff(29765,plain,
% 15.30/11.39 (~v19(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29764, 29755])).
% 15.30/11.39 tff(29766,plain,
% 15.30/11.39 ((~(v19(constB88) <=> (v20(constB88) | v21(constB88)))) | v19(constB88) | (~(v20(constB88) | v21(constB88)))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29767,plain,
% 15.30/11.39 (~(v20(constB88) | v21(constB88))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29766, 29765, 29745])).
% 15.30/11.39 tff(29768,plain,
% 15.30/11.39 ((v20(constB88) | v21(constB88)) | (~v21(constB88))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29769,plain,
% 15.30/11.39 (~v21(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29768, 29767])).
% 15.30/11.39 tff(29770,plain,
% 15.30/11.39 ((~((~v21(constB88)) <=> v6(constB88))) | v21(constB88) | v6(constB88)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29771,plain,
% 15.30/11.39 (v6(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29770, 29769, 29743])).
% 15.30/11.39 tff(29772,plain,
% 15.30/11.39 ((~(v6(constB88) <=> v13(constB88))) | (~v6(constB88)) | v13(constB88)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29773,plain,
% 15.30/11.39 (v13(constB88)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29772, 29771, 29741])).
% 15.30/11.39 tff(29774,plain,
% 15.30/11.39 ((~(v13(constB88) <=> v9(constB87))) | (~v13(constB88)) | v9(constB87)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29775,plain,
% 15.30/11.39 (v9(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29774, 29773, 29739])).
% 15.30/11.39 tff(29776,plain,
% 15.30/11.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB87)) <=> v1(constB87))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29777,plain,
% 15.30/11.39 ((~v39(constB87)) <=> v1(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29776, 147])).
% 15.30/11.39 tff(29778,plain,
% 15.30/11.39 ((~((~v39(constB87)) <=> v1(constB87))) | v39(constB87) | v1(constB87)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29779,plain,
% 15.30/11.39 ((~((~v39(constB87)) <=> v1(constB87))) | v39(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29778, 4442])).
% 15.30/11.39 tff(29780,plain,
% 15.30/11.39 (v39(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29779, 29777])).
% 15.30/11.39 tff(29781,plain,
% 15.30/11.39 ((~((~v39(constB87)) | (~v9(constB87)))) | (~v39(constB87)) | (~v9(constB87))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29782,plain,
% 15.30/11.39 ((~((~v39(constB87)) | (~v9(constB87)))) | (~v9(constB87))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29781, 29780])).
% 15.30/11.39 tff(29783,plain,
% 15.30/11.39 (~((~v39(constB87)) | (~v9(constB87)))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29782, 29775])).
% 15.30/11.39 tff(29784,plain,
% 15.30/11.39 ((~(v184(constB87) <=> (~((~v39(constB87)) | (~v9(constB87)))))) | v184(constB87) | ((~v39(constB87)) | (~v9(constB87)))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29785,plain,
% 15.30/11.39 (v184(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29784, 29783, 29735])).
% 15.30/11.39 tff(29786,plain,
% 15.30/11.39 ((v184(constB87) | v26(constB87)) | (~v184(constB87))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29787,plain,
% 15.30/11.39 (v184(constB87) | v26(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29786, 29785])).
% 15.30/11.39 tff(29788,plain,
% 15.30/11.39 ((~(v183(constB87) <=> (v184(constB87) | v26(constB87)))) | v183(constB87) | (~(v184(constB87) | v26(constB87)))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29789,plain,
% 15.30/11.39 (v183(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29788, 29787, 29733])).
% 15.30/11.39 tff(29790,plain,
% 15.30/11.39 ((~((~v182(constB87)) <=> v183(constB87))) | (~v182(constB87)) | (~v183(constB87))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29791,plain,
% 15.30/11.39 (~v182(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29790, 29789, 29731])).
% 15.30/11.39 tff(29792,plain,
% 15.30/11.39 (((~v182(constB87)) | (~v191(constB87))) | v182(constB87)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29793,plain,
% 15.30/11.39 ((~v182(constB87)) | (~v191(constB87))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29792, 29791])).
% 15.30/11.39 tff(29794,plain,
% 15.30/11.39 ((~(v197(constB87) <=> (~((~v182(constB87)) | (~v191(constB87)))))) | (~v197(constB87)) | (~((~v182(constB87)) | (~v191(constB87))))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29795,plain,
% 15.30/11.39 (~v197(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29794, 29793, 29729])).
% 15.30/11.39 tff(29796,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB87) <=> (~((~v158(constB87)) | (~v199(constB87)))))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29797,plain,
% 15.30/11.39 (v198(constB87) <=> (~((~v158(constB87)) | (~v199(constB87))))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29796, 102])).
% 15.30/11.39 tff(29798,plain,
% 15.30/11.39 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB87) <=> v180(constB87))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29799,plain,
% 15.30/11.39 (v158(constB87) <=> v180(constB87)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29798, 358])).
% 15.30/11.39 tff(29800,plain,
% 15.30/11.39 (((~![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)))),
% 15.30/11.39 inference(rewrite,[status(thm)],[])).
% 15.30/11.39 tff(29801,plain,
% 15.30/11.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29802,plain,
% 15.30/11.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86))),
% 15.30/11.39 inference(modus_ponens,[status(thm)],[29801, 29800])).
% 15.30/11.39 tff(29803,plain,
% 15.30/11.39 (v180(constB87) <=> v178(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29802, 4485, 370])).
% 15.30/11.39 tff(29804,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB86) <=> (v181(constB86) | v185(constB86)))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29805,plain,
% 15.30/11.39 (v178(constB86) <=> (v181(constB86) | v185(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29804, 384])).
% 15.30/11.39 tff(29806,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86)))))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29807,plain,
% 15.30/11.39 (v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86))))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29806, 396])).
% 15.30/11.39 tff(29808,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB86) <=> (~((~v184(constB86)) | (~v160(constB86)))))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29809,plain,
% 15.30/11.39 (v187(constB86) <=> (~((~v184(constB86)) | (~v160(constB86))))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29808, 408])).
% 15.30/11.39 tff(29810,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29811,plain,
% 15.30/11.39 (v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29810, 138])).
% 15.30/11.39 tff(29812,plain,
% 15.30/11.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29813,plain,
% 15.30/11.39 ((~v39(constB86)) <=> v1(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29812, 147])).
% 15.30/11.39 tff(29814,plain,
% 15.30/11.39 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29815,plain,
% 15.30/11.39 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29814, 4547])).
% 15.30/11.39 tff(29816,plain,
% 15.30/11.39 (~v39(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29815, 29813])).
% 15.30/11.39 tff(29817,plain,
% 15.30/11.39 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29818,plain,
% 15.30/11.39 ((~v39(constB86)) | (~v9(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29817, 29816])).
% 15.30/11.39 tff(29819,plain,
% 15.30/11.39 ((~(v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v184(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29820,plain,
% 15.30/11.39 ((~(v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v184(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29819, 29818])).
% 15.30/11.39 tff(29821,plain,
% 15.30/11.39 (~v184(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29820, 29811])).
% 15.30/11.39 tff(29822,plain,
% 15.30/11.39 (((~v184(constB86)) | (~v160(constB86))) | v184(constB86)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29823,plain,
% 15.30/11.39 ((~v184(constB86)) | (~v160(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29822, 29821])).
% 15.30/11.39 tff(29824,plain,
% 15.30/11.39 ((~(v187(constB86) <=> (~((~v184(constB86)) | (~v160(constB86)))))) | (~v187(constB86)) | (~((~v184(constB86)) | (~v160(constB86))))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29825,plain,
% 15.30/11.39 ((~(v187(constB86) <=> (~((~v184(constB86)) | (~v160(constB86)))))) | (~v187(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29824, 29823])).
% 15.30/11.39 tff(29826,plain,
% 15.30/11.39 (~v187(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29825, 29809])).
% 15.30/11.39 tff(29827,plain,
% 15.30/11.39 (((~v186(constB86)) | (~v187(constB86))) | v187(constB86)),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29828,plain,
% 15.30/11.39 ((~v186(constB86)) | (~v187(constB86))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29827, 29826])).
% 15.30/11.39 tff(29829,plain,
% 15.30/11.39 ((~(v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86)))))) | (~v185(constB86)) | (~((~v186(constB86)) | (~v187(constB86))))),
% 15.30/11.39 inference(tautology,[status(thm)],[])).
% 15.30/11.39 tff(29830,plain,
% 15.30/11.39 (~v185(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29829, 29828, 29807])).
% 15.30/11.39 tff(29831,plain,
% 15.30/11.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86))))))),
% 15.30/11.39 inference(rewrite,[status(thm)],[])).
% 15.30/11.39 tff(29832,plain,
% 15.30/11.39 ((v181(constB86) <=> (~((~v182(constB86)) | (~v158(constB86))))) <=> (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86)))))),
% 15.30/11.39 inference(rewrite,[status(thm)],[])).
% 15.30/11.39 tff(29833,plain,
% 15.30/11.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v158(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86))))))),
% 15.30/11.39 inference(monotonicity,[status(thm)],[29832])).
% 15.30/11.39 tff(29834,plain,
% 15.30/11.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v158(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86))))))),
% 15.30/11.39 inference(transitivity,[status(thm)],[29833, 29831])).
% 15.30/11.39 tff(29835,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v158(constB86)))))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29836,plain,
% 15.30/11.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86)))))),
% 15.30/11.39 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 15.30/11.39 tff(29837,plain,
% 15.30/11.39 (v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86))))),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29836, 444])).
% 15.30/11.39 tff(29838,plain,
% 15.30/11.39 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB86) <=> v180(constB86))),
% 15.30/11.39 inference(quant_inst,[status(thm)],[])).
% 15.30/11.39 tff(29839,plain,
% 15.30/11.39 (v158(constB86) <=> v180(constB86)),
% 15.30/11.39 inference(unit_resolution,[status(thm)],[29838, 358])).
% 15.30/11.39 tff(29840,plain,
% 15.30/11.39 (((~![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)))),
% 15.30/11.40 inference(rewrite,[status(thm)],[])).
% 15.30/11.40 tff(29841,plain,
% 15.30/11.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29842,plain,
% 15.30/11.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85))),
% 15.30/11.40 inference(modus_ponens,[status(thm)],[29841, 29840])).
% 15.30/11.40 tff(29843,plain,
% 15.30/11.40 (v180(constB86) <=> v178(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29842, 4517, 370])).
% 15.30/11.40 tff(29844,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB85) <=> (v181(constB85) | v185(constB85)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29845,plain,
% 15.30/11.40 (v178(constB85) <=> (v181(constB85) | v185(constB85))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29844, 384])).
% 15.30/11.40 tff(29846,plain,
% 15.30/11.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85))))))),
% 15.30/11.40 inference(rewrite,[status(thm)],[])).
% 15.30/11.40 tff(29847,plain,
% 15.30/11.40 ((v181(constB85) <=> (~((~v182(constB85)) | (~v158(constB85))))) <=> (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85)))))),
% 15.30/11.40 inference(rewrite,[status(thm)],[])).
% 15.30/11.40 tff(29848,plain,
% 15.30/11.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v158(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85))))))),
% 15.30/11.40 inference(monotonicity,[status(thm)],[29847])).
% 15.30/11.40 tff(29849,plain,
% 15.30/11.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v158(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85))))))),
% 15.30/11.40 inference(transitivity,[status(thm)],[29848, 29846])).
% 15.30/11.40 tff(29850,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v158(constB85)))))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29851,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85)))))),
% 15.30/11.40 inference(modus_ponens,[status(thm)],[29850, 29849])).
% 15.30/11.40 tff(29852,plain,
% 15.30/11.40 (v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85))))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29851, 444])).
% 15.30/11.40 tff(29853,plain,
% 15.30/11.40 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB85)) <=> v183(constB85))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29854,plain,
% 15.30/11.40 ((~v182(constB85)) <=> v183(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29853, 205])).
% 15.30/11.40 tff(29855,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB85) <=> (v184(constB85) | v26(constB85)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29856,plain,
% 15.30/11.40 (v183(constB85) <=> (v184(constB85) | v26(constB85))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29855, 214])).
% 15.30/11.40 tff(29857,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29858,plain,
% 15.30/11.40 (v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29857, 138])).
% 15.30/11.40 tff(29859,plain,
% 15.30/11.40 (((~![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)))),
% 15.30/11.40 inference(rewrite,[status(thm)],[])).
% 15.30/11.40 tff(29860,plain,
% 15.30/11.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29861,plain,
% 15.30/11.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 15.30/11.40 inference(modus_ponens,[status(thm)],[29860, 29859])).
% 15.30/11.40 tff(29862,plain,
% 15.30/11.40 (v13(constB86) <=> v9(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29861, 4517, 228])).
% 15.30/11.40 tff(29863,plain,
% 15.30/11.40 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29864,plain,
% 15.30/11.40 (v6(constB86) <=> v13(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29863, 242])).
% 15.30/11.40 tff(29865,plain,
% 15.30/11.40 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29866,plain,
% 15.30/11.40 ((~v21(constB86)) <=> v6(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29865, 251])).
% 15.30/11.40 tff(29867,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29868,plain,
% 15.30/11.40 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29867, 260])).
% 15.30/11.40 tff(29869,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29870,plain,
% 15.30/11.40 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29869, 272])).
% 15.30/11.40 tff(29871,plain,
% 15.30/11.40 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29872,plain,
% 15.30/11.40 ((~v4(constB86)) <=> v18(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29871, 281])).
% 15.30/11.40 tff(29873,plain,
% 15.30/11.40 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB86)),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29874,plain,
% 15.30/11.40 (v4(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29873, 290])).
% 15.30/11.40 tff(29875,plain,
% 15.30/11.40 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29876,plain,
% 15.30/11.40 (~v18(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29875, 29874, 29872])).
% 15.30/11.40 tff(29877,plain,
% 15.30/11.40 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29878,plain,
% 15.30/11.40 ((~v19(constB86)) | (~v22(constB86))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29877, 29876, 29870])).
% 15.30/11.40 tff(29879,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29880,plain,
% 15.30/11.40 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29879, 303])).
% 15.30/11.40 tff(29881,plain,
% 15.30/11.40 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29882,plain,
% 15.30/11.40 (v1(constB86) | v6(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29881, 4547])).
% 15.30/11.40 tff(29883,plain,
% 15.30/11.40 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29884,plain,
% 15.30/11.40 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29883, 29882])).
% 15.30/11.40 tff(29885,plain,
% 15.30/11.40 (v22(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29884, 29880])).
% 15.30/11.40 tff(29886,plain,
% 15.30/11.40 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29887,plain,
% 15.30/11.40 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29886, 29885])).
% 15.30/11.40 tff(29888,plain,
% 15.30/11.40 (~v19(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29887, 29878])).
% 15.30/11.40 tff(29889,plain,
% 15.30/11.40 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29890,plain,
% 15.30/11.40 (~(v20(constB86) | v21(constB86))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29889, 29888, 29868])).
% 15.30/11.40 tff(29891,plain,
% 15.30/11.40 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29892,plain,
% 15.30/11.40 (~v21(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29891, 29890])).
% 15.30/11.40 tff(29893,plain,
% 15.30/11.40 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29894,plain,
% 15.30/11.40 (v6(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29893, 29892, 29866])).
% 15.30/11.40 tff(29895,plain,
% 15.30/11.40 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29896,plain,
% 15.30/11.40 (v13(constB86)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29895, 29894, 29864])).
% 15.30/11.40 tff(29897,plain,
% 15.30/11.40 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29898,plain,
% 15.30/11.40 (v9(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29897, 29896, 29862])).
% 15.30/11.40 tff(29899,plain,
% 15.30/11.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29900,plain,
% 15.30/11.40 ((~v39(constB85)) <=> v1(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29899, 147])).
% 15.30/11.40 tff(29901,plain,
% 15.30/11.40 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29902,plain,
% 15.30/11.40 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29901, 4539])).
% 15.30/11.40 tff(29903,plain,
% 15.30/11.40 (v39(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29902, 29900])).
% 15.30/11.40 tff(29904,plain,
% 15.30/11.40 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29905,plain,
% 15.30/11.40 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29904, 29903])).
% 15.30/11.40 tff(29906,plain,
% 15.30/11.40 (~((~v39(constB85)) | (~v9(constB85)))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29905, 29898])).
% 15.30/11.40 tff(29907,plain,
% 15.30/11.40 ((~(v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v184(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29908,plain,
% 15.30/11.40 (v184(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29907, 29906, 29858])).
% 15.30/11.40 tff(29909,plain,
% 15.30/11.40 ((v184(constB85) | v26(constB85)) | (~v184(constB85))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29910,plain,
% 15.30/11.40 (v184(constB85) | v26(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29909, 29908])).
% 15.30/11.40 tff(29911,plain,
% 15.30/11.40 ((~(v183(constB85) <=> (v184(constB85) | v26(constB85)))) | v183(constB85) | (~(v184(constB85) | v26(constB85)))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29912,plain,
% 15.30/11.40 (v183(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29911, 29910, 29856])).
% 15.30/11.40 tff(29913,plain,
% 15.30/11.40 ((~((~v182(constB85)) <=> v183(constB85))) | (~v182(constB85)) | (~v183(constB85))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29914,plain,
% 15.30/11.40 (~v182(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29913, 29912, 29854])).
% 15.30/11.40 tff(29915,plain,
% 15.30/11.40 (((~v158(constB85)) | (~v182(constB85))) | v182(constB85)),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29916,plain,
% 15.30/11.40 ((~v158(constB85)) | (~v182(constB85))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29915, 29914])).
% 15.30/11.40 tff(29917,plain,
% 15.30/11.40 ((~(v181(constB85) <=> (~((~v158(constB85)) | (~v182(constB85)))))) | (~v181(constB85)) | (~((~v158(constB85)) | (~v182(constB85))))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29918,plain,
% 15.30/11.40 (~v181(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29917, 29916, 29852])).
% 15.30/11.40 tff(29919,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85)))))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29920,plain,
% 15.30/11.40 (v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85))))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29919, 396])).
% 15.30/11.40 tff(29921,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB85) <=> (~((~v184(constB85)) | (~v160(constB85)))))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29922,plain,
% 15.30/11.40 (v187(constB85) <=> (~((~v184(constB85)) | (~v160(constB85))))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29921, 408])).
% 15.30/11.40 tff(29923,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB85) <=> v162(constB85))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29924,plain,
% 15.30/11.40 (v160(constB85) <=> v162(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29923, 549])).
% 15.30/11.40 tff(29925,plain,
% 15.30/11.40 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB85) <=> (~(v88(constB85, bitIndex2) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex0)))))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29926,plain,
% 15.30/11.40 (v141(constB85) <=> (~(v88(constB85, bitIndex2) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex0))))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29925, 564])).
% 15.30/11.40 tff(29927,plain,
% 15.30/11.40 (((~![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)))),
% 15.30/11.40 inference(rewrite,[status(thm)],[])).
% 15.30/11.40 tff(29928,plain,
% 15.30/11.40 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))),
% 15.30/11.40 inference(quant_inst,[status(thm)],[])).
% 15.30/11.40 tff(29929,plain,
% 15.30/11.40 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2))),
% 15.30/11.40 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 15.30/11.40 tff(29930,plain,
% 15.30/11.40 (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29929, 579, 576])).
% 15.30/11.40 tff(29931,plain,
% 15.30/11.40 ((~(v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2))) | v88(constB85, bitIndex2) | (~v90(constB85, bitIndex2))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29932,plain,
% 15.30/11.40 (v88(constB85, bitIndex2)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29931, 13679, 29930])).
% 15.30/11.40 tff(29933,plain,
% 15.30/11.40 ((v88(constB85, bitIndex2) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex2))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29934,plain,
% 15.30/11.40 (v88(constB85, bitIndex2) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex0))),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29933, 29932])).
% 15.30/11.40 tff(29935,plain,
% 15.30/11.40 ((~(v141(constB85) <=> (~(v88(constB85, bitIndex2) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex0)))))) | (~v141(constB85)) | (~(v88(constB85, bitIndex2) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex0))))),
% 15.30/11.40 inference(tautology,[status(thm)],[])).
% 15.30/11.40 tff(29936,plain,
% 15.30/11.40 (~v141(constB85)),
% 15.30/11.40 inference(unit_resolution,[status(thm)],[29935, 29934, 29926])).
% 15.30/11.41 tff(29937,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB85) <=> (v139(constB85) | v140(constB85)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29938,plain,
% 15.30/11.41 (v170(constB85) <=> (v139(constB85) | v140(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29937, 2216])).
% 15.30/11.41 tff(29939,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2))))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29940,plain,
% 15.30/11.41 (v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29939, 2231])).
% 15.30/11.41 tff(29941,plain,
% 15.30/11.41 ((v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex2))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29942,plain,
% 15.30/11.41 (v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29941, 29932])).
% 15.30/11.41 tff(29943,plain,
% 15.30/11.41 ((~(v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2))))) | (~v139(constB85)) | (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29944,plain,
% 15.30/11.41 (~v139(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29943, 29942, 29940])).
% 15.30/11.41 tff(29945,plain,
% 15.30/11.41 (((~![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))))))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29946,plain,
% 15.30/11.41 ((v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0))))) <=> (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29947,plain,
% 15.30/11.41 (((~![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))))))),
% 15.30/11.41 inference(monotonicity,[status(thm)],[29946])).
% 15.30/11.41 tff(29948,plain,
% 15.30/11.41 (((~![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))))))),
% 15.30/11.41 inference(transitivity,[status(thm)],[29947, 29945])).
% 15.30/11.41 tff(29949,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0)))))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29950,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))),
% 15.30/11.41 inference(modus_ponens,[status(thm)],[29949, 29948])).
% 15.30/11.41 tff(29951,plain,
% 15.30/11.41 (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29950, 2250])).
% 15.30/11.41 tff(29952,plain,
% 15.30/11.41 ((v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex2))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29953,plain,
% 15.30/11.41 (v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29952, 29932])).
% 15.30/11.41 tff(29954,plain,
% 15.30/11.41 ((~(v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))) | (~v140(constB85)) | (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29955,plain,
% 15.30/11.41 (~v140(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29954, 29953, 29951])).
% 15.30/11.41 tff(29956,plain,
% 15.30/11.41 ((~(v139(constB85) | v140(constB85))) | v139(constB85) | v140(constB85)),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29957,plain,
% 15.30/11.41 (~(v139(constB85) | v140(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29956, 29955, 29944])).
% 15.30/11.41 tff(29958,plain,
% 15.30/11.41 ((~(v170(constB85) <=> (v139(constB85) | v140(constB85)))) | (~v170(constB85)) | (v139(constB85) | v140(constB85))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29959,plain,
% 15.30/11.41 (~v170(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29958, 29957, 29938])).
% 15.30/11.41 tff(29960,plain,
% 15.30/11.41 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB85) | v170(constB85) | (~v169(constB85)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB85) | v170(constB85) | (~v169(constB85)))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29961,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB85) | v170(constB85) | (~v169(constB85)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29962,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB85) | v170(constB85) | (~v169(constB85))),
% 15.30/11.41 inference(modus_ponens,[status(thm)],[29961, 29960])).
% 15.30/11.41 tff(29963,plain,
% 15.30/11.41 (v141(constB85) | v170(constB85) | (~v169(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29962, 2278])).
% 15.30/11.41 tff(29964,plain,
% 15.30/11.41 (~v169(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29963, 29959, 29936])).
% 15.30/11.41 tff(29965,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB85) <=> (v145(constB85) | v166(constB85)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29966,plain,
% 15.30/11.41 (v165(constB85) <=> (v145(constB85) | v166(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29965, 2293])).
% 15.30/11.41 tff(29967,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB85) <=> (v142(constB85) | v167(constB85)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29968,plain,
% 15.30/11.41 (v166(constB85) <=> (v142(constB85) | v167(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29967, 2804])).
% 15.30/11.41 tff(29969,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB85) <=> (v143(constB85) | v144(constB85)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29970,plain,
% 15.30/11.41 (v142(constB85) <=> (v143(constB85) | v144(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29969, 2813])).
% 15.30/11.41 tff(29971,plain,
% 15.30/11.41 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1))))))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29972,plain,
% 15.30/11.41 ((v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2))))) <=> (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29973,plain,
% 15.30/11.41 (((~![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, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1))))))),
% 15.30/11.41 inference(monotonicity,[status(thm)],[29972])).
% 15.30/11.41 tff(29974,plain,
% 15.30/11.41 (((~![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, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1))))))),
% 15.30/11.41 inference(transitivity,[status(thm)],[29973, 29971])).
% 15.30/11.41 tff(29975,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29976,plain,
% 15.30/11.41 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))))),
% 15.30/11.41 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 15.30/11.41 tff(29977,plain,
% 15.30/11.41 (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1))))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29976, 2828])).
% 15.30/11.41 tff(29978,plain,
% 15.30/11.41 (((~![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)))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29979,plain,
% 15.30/11.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29980,plain,
% 15.30/11.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0))),
% 15.30/11.41 inference(modus_ponens,[status(thm)],[29979, 29978])).
% 15.30/11.41 tff(29981,plain,
% 15.30/11.41 (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29980, 1275, 576])).
% 15.30/11.41 tff(29982,plain,
% 15.30/11.41 ((~(v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29983,plain,
% 15.30/11.41 (~v88(constB85, bitIndex0)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29982, 13710, 29981])).
% 15.30/11.41 tff(29984,plain,
% 15.30/11.41 (((~![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)))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(29985,plain,
% 15.30/11.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(29986,plain,
% 15.30/11.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1))),
% 15.30/11.41 inference(modus_ponens,[status(thm)],[29985, 29984])).
% 15.30/11.41 tff(29987,plain,
% 15.30/11.41 (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29986, 1288, 576])).
% 15.30/11.41 tff(29988,plain,
% 15.30/11.41 ((~(v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1))) | v88(constB85, bitIndex1) | (~v90(constB85, bitIndex1))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29989,plain,
% 15.30/11.41 (v88(constB85, bitIndex1)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29988, 13741, 29987])).
% 15.30/11.41 tff(29990,plain,
% 15.30/11.41 ((~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29991,plain,
% 15.30/11.41 (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29990, 29989, 29983, 29932])).
% 15.30/11.41 tff(29992,plain,
% 15.30/11.41 ((~(v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))))) | v144(constB85) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29993,plain,
% 15.30/11.41 (v144(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29992, 29991, 29977])).
% 15.30/11.41 tff(29994,plain,
% 15.30/11.41 ((v143(constB85) | v144(constB85)) | (~v144(constB85))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29995,plain,
% 15.30/11.41 (v143(constB85) | v144(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29994, 29993])).
% 15.30/11.41 tff(29996,plain,
% 15.30/11.41 ((~(v142(constB85) <=> (v143(constB85) | v144(constB85)))) | v142(constB85) | (~(v143(constB85) | v144(constB85)))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29997,plain,
% 15.30/11.41 (v142(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29996, 29995, 29970])).
% 15.30/11.41 tff(29998,plain,
% 15.30/11.41 ((v142(constB85) | v167(constB85)) | (~v142(constB85))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(29999,plain,
% 15.30/11.41 (v142(constB85) | v167(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[29998, 29997])).
% 15.30/11.41 tff(30000,plain,
% 15.30/11.41 ((~(v166(constB85) <=> (v142(constB85) | v167(constB85)))) | v166(constB85) | (~(v142(constB85) | v167(constB85)))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(30001,plain,
% 15.30/11.41 (v166(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[30000, 29999, 29968])).
% 15.30/11.41 tff(30002,plain,
% 15.30/11.41 ((v145(constB85) | v166(constB85)) | (~v166(constB85))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(30003,plain,
% 15.30/11.41 (v145(constB85) | v166(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[30002, 30001])).
% 15.30/11.41 tff(30004,plain,
% 15.30/11.41 ((~(v165(constB85) <=> (v145(constB85) | v166(constB85)))) | v165(constB85) | (~(v145(constB85) | v166(constB85)))),
% 15.30/11.41 inference(tautology,[status(thm)],[])).
% 15.30/11.41 tff(30005,plain,
% 15.30/11.41 (v165(constB85)),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[30004, 30003, 29966])).
% 15.30/11.41 tff(30006,plain,
% 15.30/11.41 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB85)) | (v162(constB85) <=> v169(constB85)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB85)) | (v162(constB85) <=> v169(constB85)))),
% 15.30/11.41 inference(rewrite,[status(thm)],[])).
% 15.30/11.41 tff(30007,plain,
% 15.30/11.41 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB85)) | (v162(constB85) <=> v169(constB85)))),
% 15.30/11.41 inference(quant_inst,[status(thm)],[])).
% 15.30/11.41 tff(30008,plain,
% 15.30/11.41 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB85)) | (v162(constB85) <=> v169(constB85))),
% 15.30/11.41 inference(modus_ponens,[status(thm)],[30007, 30006])).
% 15.30/11.41 tff(30009,plain,
% 15.30/11.41 ((~v165(constB85)) | (v162(constB85) <=> v169(constB85))),
% 15.30/11.41 inference(unit_resolution,[status(thm)],[30008, 2426])).
% 15.30/11.42 tff(30010,plain,
% 15.30/11.42 (v162(constB85) <=> v169(constB85)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30009, 30005])).
% 15.30/11.42 tff(30011,plain,
% 15.30/11.42 ((~(v162(constB85) <=> v169(constB85))) | (~v162(constB85)) | v169(constB85)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30012,plain,
% 15.30/11.42 (~v162(constB85)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30011, 30010, 29964])).
% 15.30/11.42 tff(30013,plain,
% 15.30/11.42 ((~(v160(constB85) <=> v162(constB85))) | (~v160(constB85)) | v162(constB85)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30014,plain,
% 15.30/11.42 ((~(v160(constB85) <=> v162(constB85))) | (~v160(constB85))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30013, 30012])).
% 15.30/11.42 tff(30015,plain,
% 15.30/11.42 (~v160(constB85)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30014, 29924])).
% 15.30/11.42 tff(30016,plain,
% 15.30/11.42 (((~v184(constB85)) | (~v160(constB85))) | v160(constB85)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30017,plain,
% 15.30/11.42 ((~v184(constB85)) | (~v160(constB85))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30016, 30015])).
% 15.30/11.42 tff(30018,plain,
% 15.30/11.42 ((~(v187(constB85) <=> (~((~v184(constB85)) | (~v160(constB85)))))) | (~v187(constB85)) | (~((~v184(constB85)) | (~v160(constB85))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30019,plain,
% 15.30/11.42 (~v187(constB85)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30018, 30017, 29922])).
% 15.30/11.42 tff(30020,plain,
% 15.30/11.42 (((~v186(constB85)) | (~v187(constB85))) | v187(constB85)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30021,plain,
% 15.30/11.42 ((~v186(constB85)) | (~v187(constB85))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30020, 30019])).
% 15.30/11.42 tff(30022,plain,
% 15.30/11.42 ((~(v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85)))))) | (~v185(constB85)) | (~((~v186(constB85)) | (~v187(constB85))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30023,plain,
% 15.30/11.42 (~v185(constB85)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30022, 30021, 29920])).
% 15.30/11.42 tff(30024,plain,
% 15.30/11.42 ((~(v181(constB85) | v185(constB85))) | v181(constB85) | v185(constB85)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30025,plain,
% 15.30/11.42 (~(v181(constB85) | v185(constB85))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30024, 30023, 29918])).
% 15.30/11.42 tff(30026,plain,
% 15.30/11.42 ((~(v178(constB85) <=> (v181(constB85) | v185(constB85)))) | (~v178(constB85)) | (v181(constB85) | v185(constB85))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30027,plain,
% 15.30/11.42 (~v178(constB85)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30026, 30025, 29845])).
% 15.30/11.42 tff(30028,plain,
% 15.30/11.42 ((~(v180(constB86) <=> v178(constB85))) | (~v180(constB86)) | v178(constB85)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30029,plain,
% 15.30/11.42 (~v180(constB86)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30028, 30027, 29843])).
% 15.30/11.42 tff(30030,plain,
% 15.30/11.42 ((~(v158(constB86) <=> v180(constB86))) | (~v158(constB86)) | v180(constB86)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30031,plain,
% 15.30/11.42 (~v158(constB86)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30030, 30029, 29839])).
% 15.30/11.42 tff(30032,plain,
% 15.30/11.42 (((~v158(constB86)) | (~v182(constB86))) | v158(constB86)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30033,plain,
% 15.30/11.42 ((~v158(constB86)) | (~v182(constB86))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30032, 30031])).
% 15.30/11.42 tff(30034,plain,
% 15.30/11.42 ((~(v181(constB86) <=> (~((~v158(constB86)) | (~v182(constB86)))))) | (~v181(constB86)) | (~((~v158(constB86)) | (~v182(constB86))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30035,plain,
% 15.30/11.42 (~v181(constB86)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30034, 30033, 29837])).
% 15.30/11.42 tff(30036,plain,
% 15.30/11.42 ((~(v181(constB86) | v185(constB86))) | v181(constB86) | v185(constB86)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30037,plain,
% 15.30/11.42 (~(v181(constB86) | v185(constB86))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30036, 30035, 29830])).
% 15.30/11.42 tff(30038,plain,
% 15.30/11.42 ((~(v178(constB86) <=> (v181(constB86) | v185(constB86)))) | (~v178(constB86)) | (v181(constB86) | v185(constB86))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30039,plain,
% 15.30/11.42 (~v178(constB86)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30038, 30037, 29805])).
% 15.30/11.42 tff(30040,plain,
% 15.30/11.42 ((~(v180(constB87) <=> v178(constB86))) | (~v180(constB87)) | v178(constB86)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30041,plain,
% 15.30/11.42 (~v180(constB87)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30040, 30039, 29803])).
% 15.30/11.42 tff(30042,plain,
% 15.30/11.42 ((~(v158(constB87) <=> v180(constB87))) | (~v158(constB87)) | v180(constB87)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30043,plain,
% 15.30/11.42 (~v158(constB87)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30042, 30041, 29799])).
% 15.30/11.42 tff(30044,plain,
% 15.30/11.42 (((~v158(constB87)) | (~v199(constB87))) | v158(constB87)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30045,plain,
% 15.30/11.42 ((~v158(constB87)) | (~v199(constB87))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30044, 30043])).
% 15.30/11.42 tff(30046,plain,
% 15.30/11.42 ((~(v198(constB87) <=> (~((~v158(constB87)) | (~v199(constB87)))))) | (~v198(constB87)) | (~((~v158(constB87)) | (~v199(constB87))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30047,plain,
% 15.30/11.42 (~v198(constB87)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30046, 30045, 29797])).
% 15.30/11.42 tff(30048,plain,
% 15.30/11.42 ((~(v197(constB87) | v198(constB87))) | v197(constB87) | v198(constB87)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30049,plain,
% 15.30/11.42 (~(v197(constB87) | v198(constB87))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30048, 30047, 29795])).
% 15.30/11.42 tff(30050,plain,
% 15.30/11.42 ((~(v194(constB87) <=> (v197(constB87) | v198(constB87)))) | (~v194(constB87)) | (v197(constB87) | v198(constB87))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30051,plain,
% 15.30/11.42 (~v194(constB87)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30050, 30049, 29727])).
% 15.30/11.42 tff(30052,plain,
% 15.30/11.42 ((~(v196(constB88) <=> v194(constB87))) | (~v196(constB88)) | v194(constB87)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30053,plain,
% 15.30/11.42 (~v196(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30052, 30051, 29725])).
% 15.30/11.42 tff(30054,plain,
% 15.30/11.42 ((~(v191(constB88) <=> v196(constB88))) | (~v191(constB88)) | v196(constB88)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30055,plain,
% 15.30/11.42 (~v191(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30054, 30053, 29721])).
% 15.30/11.42 tff(30056,plain,
% 15.30/11.42 (((~v182(constB88)) | (~v191(constB88))) | v191(constB88)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30057,plain,
% 15.30/11.42 ((~v182(constB88)) | (~v191(constB88))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30056, 30055])).
% 15.30/11.42 tff(30058,plain,
% 15.30/11.42 ((~(v197(constB88) <=> (~((~v182(constB88)) | (~v191(constB88)))))) | (~v197(constB88)) | (~((~v182(constB88)) | (~v191(constB88))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30059,plain,
% 15.30/11.42 (~v197(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30058, 30057, 29719])).
% 15.30/11.42 tff(30060,plain,
% 15.30/11.42 ((~(v197(constB88) | v198(constB88))) | v197(constB88) | v198(constB88)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30061,plain,
% 15.30/11.42 (~(v197(constB88) | v198(constB88))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30060, 30059, 29717])).
% 15.30/11.42 tff(30062,plain,
% 15.30/11.42 ((~(v194(constB88) <=> (v197(constB88) | v198(constB88)))) | (~v194(constB88)) | (v197(constB88) | v198(constB88))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30063,plain,
% 15.30/11.42 (~v194(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30062, 30061, 29686])).
% 15.30/11.42 tff(30064,plain,
% 15.30/11.42 ((~(v196(constB89) <=> v194(constB88))) | (~v196(constB89)) | v194(constB88)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30065,plain,
% 15.30/11.42 (~v196(constB89)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30064, 30063, 29684])).
% 15.30/11.42 tff(30066,plain,
% 15.30/11.42 ((~(v191(constB89) <=> v196(constB89))) | (~v191(constB89)) | v196(constB89)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30067,plain,
% 15.30/11.42 (~v191(constB89)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30066, 30065, 29680])).
% 15.30/11.42 tff(30068,plain,
% 15.30/11.42 (((~v191(constB89)) | (~v206(constB89))) | v191(constB89)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30069,plain,
% 15.30/11.42 ((~v191(constB89)) | (~v206(constB89))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30068, 30067])).
% 15.30/11.42 tff(30070,plain,
% 15.30/11.42 ((~(v209(constB89) <=> (~((~v191(constB89)) | (~v206(constB89)))))) | (~v209(constB89)) | (~((~v191(constB89)) | (~v206(constB89))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30071,plain,
% 15.30/11.42 (~v209(constB89)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30070, 30069, 29678])).
% 15.30/11.42 tff(30072,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89))))))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30073,plain,
% 15.30/11.42 ((v205(constB89) <=> (~((~v206(constB89)) | (~v158(constB89))))) <=> (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89)))))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30074,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v206(constB89)) | (~v158(constB89)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89))))))),
% 15.30/11.42 inference(monotonicity,[status(thm)],[30073])).
% 15.30/11.42 tff(30075,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v206(constB89)) | (~v158(constB89)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89))))))),
% 15.30/11.42 inference(transitivity,[status(thm)],[30074, 30072])).
% 15.30/11.42 tff(30076,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v206(constB89)) | (~v158(constB89)))))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30077,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89)))))),
% 15.30/11.42 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 15.30/11.42 tff(30078,plain,
% 15.30/11.42 (v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89))))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30077, 2502])).
% 15.30/11.42 tff(30079,plain,
% 15.30/11.42 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB89) <=> v180(constB89))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30080,plain,
% 15.30/11.42 (v158(constB89) <=> v180(constB89)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30079, 358])).
% 15.30/11.42 tff(30081,plain,
% 15.30/11.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> v178(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB88, constB89)) | (v180(constB89) <=> v178(constB88)))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30082,plain,
% 15.30/11.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> v178(constB88)))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30083,plain,
% 15.30/11.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB88, constB89)) | (v180(constB89) <=> v178(constB88))),
% 15.30/11.42 inference(modus_ponens,[status(thm)],[30082, 30081])).
% 15.30/11.42 tff(30084,plain,
% 15.30/11.42 (v180(constB89) <=> v178(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30083, 4388, 370])).
% 15.30/11.42 tff(30085,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB88) <=> (v181(constB88) | v185(constB88)))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30086,plain,
% 15.30/11.42 (v178(constB88) <=> (v181(constB88) | v185(constB88))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30085, 384])).
% 15.30/11.42 tff(30087,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB88) <=> (~((~v186(constB88)) | (~v187(constB88)))))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30088,plain,
% 15.30/11.42 (v185(constB88) <=> (~((~v186(constB88)) | (~v187(constB88))))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30087, 396])).
% 15.30/11.42 tff(30089,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB88) <=> (~((~v184(constB88)) | (~v160(constB88)))))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30090,plain,
% 15.30/11.42 (v187(constB88) <=> (~((~v184(constB88)) | (~v160(constB88))))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30089, 408])).
% 15.30/11.42 tff(30091,plain,
% 15.30/11.42 (((~v184(constB88)) | (~v160(constB88))) | v184(constB88)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30092,plain,
% 15.30/11.42 ((~v184(constB88)) | (~v160(constB88))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30091, 29704])).
% 15.30/11.42 tff(30093,plain,
% 15.30/11.42 ((~(v187(constB88) <=> (~((~v184(constB88)) | (~v160(constB88)))))) | (~v187(constB88)) | (~((~v184(constB88)) | (~v160(constB88))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30094,plain,
% 15.30/11.42 ((~(v187(constB88) <=> (~((~v184(constB88)) | (~v160(constB88)))))) | (~v187(constB88))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30093, 30092])).
% 15.30/11.42 tff(30095,plain,
% 15.30/11.42 (~v187(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30094, 30090])).
% 15.30/11.42 tff(30096,plain,
% 15.30/11.42 (((~v186(constB88)) | (~v187(constB88))) | v187(constB88)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30097,plain,
% 15.30/11.42 ((~v186(constB88)) | (~v187(constB88))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30096, 30095])).
% 15.30/11.42 tff(30098,plain,
% 15.30/11.42 ((~(v185(constB88) <=> (~((~v186(constB88)) | (~v187(constB88)))))) | (~v185(constB88)) | (~((~v186(constB88)) | (~v187(constB88))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30099,plain,
% 15.30/11.42 (~v185(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30098, 30097, 30088])).
% 15.30/11.42 tff(30100,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88))))))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30101,plain,
% 15.30/11.42 ((v181(constB88) <=> (~((~v182(constB88)) | (~v158(constB88))))) <=> (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88)))))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30102,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v182(constB88)) | (~v158(constB88)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88))))))),
% 15.30/11.42 inference(monotonicity,[status(thm)],[30101])).
% 15.30/11.42 tff(30103,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v182(constB88)) | (~v158(constB88)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88))))))),
% 15.30/11.42 inference(transitivity,[status(thm)],[30102, 30100])).
% 15.30/11.42 tff(30104,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v182(constB88)) | (~v158(constB88)))))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30105,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88)))))),
% 15.30/11.42 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 15.30/11.42 tff(30106,plain,
% 15.30/11.42 (v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88))))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30105, 444])).
% 15.30/11.42 tff(30107,plain,
% 15.30/11.42 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB88) <=> v180(constB88))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30108,plain,
% 15.30/11.42 (v158(constB88) <=> v180(constB88)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30107, 358])).
% 15.30/11.42 tff(30109,plain,
% 15.30/11.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> v178(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB87, constB88)) | (v180(constB88) <=> v178(constB87)))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30110,plain,
% 15.30/11.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> v178(constB87)))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30111,plain,
% 15.30/11.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB87, constB88)) | (v180(constB88) <=> v178(constB87))),
% 15.30/11.42 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 15.30/11.42 tff(30112,plain,
% 15.30/11.42 (v180(constB88) <=> v178(constB87)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30111, 4420, 370])).
% 15.30/11.42 tff(30113,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB87) <=> (v181(constB87) | v185(constB87)))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30114,plain,
% 15.30/11.42 (v178(constB87) <=> (v181(constB87) | v185(constB87))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30113, 384])).
% 15.30/11.42 tff(30115,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87))))))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30116,plain,
% 15.30/11.42 ((v181(constB87) <=> (~((~v182(constB87)) | (~v158(constB87))))) <=> (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87)))))),
% 15.30/11.42 inference(rewrite,[status(thm)],[])).
% 15.30/11.42 tff(30117,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v182(constB87)) | (~v158(constB87)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87))))))),
% 15.30/11.42 inference(monotonicity,[status(thm)],[30116])).
% 15.30/11.42 tff(30118,plain,
% 15.30/11.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v182(constB87)) | (~v158(constB87)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87))))))),
% 15.30/11.42 inference(transitivity,[status(thm)],[30117, 30115])).
% 15.30/11.42 tff(30119,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v182(constB87)) | (~v158(constB87)))))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30120,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87)))))),
% 15.30/11.42 inference(modus_ponens,[status(thm)],[30119, 30118])).
% 15.30/11.42 tff(30121,plain,
% 15.30/11.42 (v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87))))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30120, 444])).
% 15.30/11.42 tff(30122,plain,
% 15.30/11.42 (((~v158(constB87)) | (~v182(constB87))) | v182(constB87)),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30123,plain,
% 15.30/11.42 ((~v158(constB87)) | (~v182(constB87))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30122, 29791])).
% 15.30/11.42 tff(30124,plain,
% 15.30/11.42 ((~(v181(constB87) <=> (~((~v158(constB87)) | (~v182(constB87)))))) | (~v181(constB87)) | (~((~v158(constB87)) | (~v182(constB87))))),
% 15.30/11.42 inference(tautology,[status(thm)],[])).
% 15.30/11.42 tff(30125,plain,
% 15.30/11.42 (~v181(constB87)),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30124, 30123, 30121])).
% 15.30/11.42 tff(30126,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB87) <=> (~((~v186(constB87)) | (~v187(constB87)))))),
% 15.30/11.42 inference(quant_inst,[status(thm)],[])).
% 15.30/11.42 tff(30127,plain,
% 15.30/11.42 (v185(constB87) <=> (~((~v186(constB87)) | (~v187(constB87))))),
% 15.30/11.42 inference(unit_resolution,[status(thm)],[30126, 396])).
% 15.30/11.42 tff(30128,plain,
% 15.30/11.42 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB87) <=> (~((~v184(constB87)) | (~v160(constB87)))))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30129,plain,
% 15.30/11.43 (v187(constB87) <=> (~((~v184(constB87)) | (~v160(constB87))))),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30128, 408])).
% 15.30/11.43 tff(30130,plain,
% 15.30/11.43 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB87) <=> v162(constB87))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30131,plain,
% 15.30/11.43 (v160(constB87) <=> v162(constB87)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30130, 549])).
% 15.30/11.43 tff(30132,plain,
% 15.30/11.43 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB87) <=> (v139(constB87) | v140(constB87)))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30133,plain,
% 15.30/11.43 (v170(constB87) <=> (v139(constB87) | v140(constB87))),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30132, 2216])).
% 15.30/11.43 tff(30134,plain,
% 15.30/11.43 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))))),
% 15.30/11.43 inference(rewrite,[status(thm)],[])).
% 15.30/11.43 tff(30135,plain,
% 15.30/11.43 ((v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0))))) <=> (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))),
% 15.30/11.43 inference(rewrite,[status(thm)],[])).
% 15.30/11.43 tff(30136,plain,
% 15.30/11.43 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))))),
% 15.30/11.43 inference(monotonicity,[status(thm)],[30135])).
% 15.30/11.43 tff(30137,plain,
% 15.30/11.43 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))))),
% 15.30/11.43 inference(transitivity,[status(thm)],[30136, 30134])).
% 15.30/11.43 tff(30138,plain,
% 15.30/11.43 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0)))))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30139,plain,
% 15.30/11.43 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))),
% 15.30/11.43 inference(modus_ponens,[status(thm)],[30138, 30137])).
% 15.30/11.43 tff(30140,plain,
% 15.30/11.43 (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30139, 2250])).
% 15.30/11.43 tff(30141,plain,
% 15.30/11.43 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)))),
% 15.30/11.43 inference(rewrite,[status(thm)],[])).
% 15.30/11.43 tff(30142,plain,
% 15.30/11.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30143,plain,
% 15.30/11.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2))),
% 15.30/11.43 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 15.30/11.43 tff(30144,plain,
% 15.30/11.43 (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30143, 579, 576])).
% 15.30/11.43 tff(30145,plain,
% 15.30/11.43 ((~(v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2))) | (~v88(constB87, bitIndex2)) | v90(constB87, bitIndex2)),
% 15.30/11.43 inference(tautology,[status(thm)],[])).
% 15.30/11.43 tff(30146,plain,
% 15.30/11.43 (~v88(constB87, bitIndex2)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30145, 13885, 30144])).
% 15.30/11.43 tff(30147,plain,
% 15.30/11.43 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)))),
% 15.30/11.43 inference(rewrite,[status(thm)],[])).
% 15.30/11.43 tff(30148,plain,
% 15.30/11.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30149,plain,
% 15.30/11.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0))),
% 15.30/11.43 inference(modus_ponens,[status(thm)],[30148, 30147])).
% 15.30/11.43 tff(30150,plain,
% 15.30/11.43 (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30149, 1275, 576])).
% 15.30/11.43 tff(30151,plain,
% 15.30/11.43 ((~(v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0))) | v88(constB87, bitIndex0) | (~v90(constB87, bitIndex0))),
% 15.30/11.43 inference(tautology,[status(thm)],[])).
% 15.30/11.43 tff(30152,plain,
% 15.30/11.43 (v88(constB87, bitIndex0)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30151, 13916, 30150])).
% 15.30/11.43 tff(30153,plain,
% 15.30/11.43 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)))),
% 15.30/11.43 inference(rewrite,[status(thm)],[])).
% 15.30/11.43 tff(30154,plain,
% 15.30/11.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)))),
% 15.30/11.43 inference(quant_inst,[status(thm)],[])).
% 15.30/11.43 tff(30155,plain,
% 15.30/11.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1))),
% 15.30/11.43 inference(modus_ponens,[status(thm)],[30154, 30153])).
% 15.30/11.43 tff(30156,plain,
% 15.30/11.43 (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30155, 1288, 576])).
% 15.30/11.43 tff(30157,plain,
% 15.30/11.43 ((~(v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1))) | (~v88(constB87, bitIndex1)) | v90(constB87, bitIndex1)),
% 15.30/11.43 inference(tautology,[status(thm)],[])).
% 15.30/11.43 tff(30158,plain,
% 15.30/11.43 (~v88(constB87, bitIndex1)),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30157, 13947, 30156])).
% 15.30/11.43 tff(30159,plain,
% 15.30/11.43 ((~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))),
% 15.30/11.43 inference(tautology,[status(thm)],[])).
% 15.30/11.43 tff(30160,plain,
% 15.30/11.43 (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))),
% 15.30/11.43 inference(unit_resolution,[status(thm)],[30159, 30158, 30152, 30146])).
% 15.30/11.43 tff(30161,plain,
% 15.30/11.43 ((~(v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))) | v140(constB87) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30162,plain,
% 15.38/11.43 (v140(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30161, 30160, 30140])).
% 15.38/11.43 tff(30163,plain,
% 15.38/11.43 ((v139(constB87) | v140(constB87)) | (~v140(constB87))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30164,plain,
% 15.38/11.43 (v139(constB87) | v140(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30163, 30162])).
% 15.38/11.43 tff(30165,plain,
% 15.38/11.43 ((~(v170(constB87) <=> (v139(constB87) | v140(constB87)))) | v170(constB87) | (~(v139(constB87) | v140(constB87)))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30166,plain,
% 15.38/11.43 (v170(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30165, 30164, 30133])).
% 15.38/11.43 tff(30167,plain,
% 15.38/11.43 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB87)) | (~v169(constB87)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB87)) | (~v169(constB87)))),
% 15.38/11.43 inference(rewrite,[status(thm)],[])).
% 15.38/11.43 tff(30168,plain,
% 15.38/11.43 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB87)) | (~v169(constB87)))),
% 15.38/11.43 inference(quant_inst,[status(thm)],[])).
% 15.38/11.43 tff(30169,plain,
% 15.38/11.43 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB87)) | (~v169(constB87))),
% 15.38/11.43 inference(modus_ponens,[status(thm)],[30168, 30167])).
% 15.38/11.43 tff(30170,plain,
% 15.38/11.43 ((~v170(constB87)) | (~v169(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30169, 18673])).
% 15.38/11.43 tff(30171,plain,
% 15.38/11.43 (~v169(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30170, 30166])).
% 15.38/11.43 tff(30172,plain,
% 15.38/11.43 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB87) <=> (v145(constB87) | v166(constB87)))),
% 15.38/11.43 inference(quant_inst,[status(thm)],[])).
% 15.38/11.43 tff(30173,plain,
% 15.38/11.43 (v165(constB87) <=> (v145(constB87) | v166(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30172, 2293])).
% 15.38/11.43 tff(30174,plain,
% 15.38/11.43 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB87) <=> (v142(constB87) | v167(constB87)))),
% 15.38/11.43 inference(quant_inst,[status(thm)],[])).
% 15.38/11.43 tff(30175,plain,
% 15.38/11.43 (v166(constB87) <=> (v142(constB87) | v167(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30174, 2804])).
% 15.38/11.43 tff(30176,plain,
% 15.38/11.43 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB87) <=> (v141(constB87) | v168(constB87)))),
% 15.38/11.43 inference(quant_inst,[status(thm)],[])).
% 15.38/11.43 tff(30177,plain,
% 15.38/11.43 (v167(constB87) <=> (v141(constB87) | v168(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30176, 18692])).
% 15.38/11.43 tff(30178,plain,
% 15.38/11.43 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB87) <=> (v139(constB87) | v140(constB87)))),
% 15.38/11.43 inference(quant_inst,[status(thm)],[])).
% 15.38/11.43 tff(30179,plain,
% 15.38/11.43 (v168(constB87) <=> (v139(constB87) | v140(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30178, 18701])).
% 15.38/11.43 tff(30180,plain,
% 15.38/11.43 ((~(v168(constB87) <=> (v139(constB87) | v140(constB87)))) | v168(constB87) | (~(v139(constB87) | v140(constB87)))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30181,plain,
% 15.38/11.43 (v168(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30180, 30164, 30179])).
% 15.38/11.43 tff(30182,plain,
% 15.38/11.43 ((v141(constB87) | v168(constB87)) | (~v168(constB87))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30183,plain,
% 15.38/11.43 (v141(constB87) | v168(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30182, 30181])).
% 15.38/11.43 tff(30184,plain,
% 15.38/11.43 ((~(v167(constB87) <=> (v141(constB87) | v168(constB87)))) | v167(constB87) | (~(v141(constB87) | v168(constB87)))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30185,plain,
% 15.38/11.43 (v167(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30184, 30183, 30177])).
% 15.38/11.43 tff(30186,plain,
% 15.38/11.43 ((v142(constB87) | v167(constB87)) | (~v167(constB87))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30187,plain,
% 15.38/11.43 (v142(constB87) | v167(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30186, 30185])).
% 15.38/11.43 tff(30188,plain,
% 15.38/11.43 ((~(v166(constB87) <=> (v142(constB87) | v167(constB87)))) | v166(constB87) | (~(v142(constB87) | v167(constB87)))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30189,plain,
% 15.38/11.43 (v166(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30188, 30187, 30175])).
% 15.38/11.43 tff(30190,plain,
% 15.38/11.43 ((v145(constB87) | v166(constB87)) | (~v166(constB87))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30191,plain,
% 15.38/11.43 (v145(constB87) | v166(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30190, 30189])).
% 15.38/11.43 tff(30192,plain,
% 15.38/11.43 ((~(v165(constB87) <=> (v145(constB87) | v166(constB87)))) | v165(constB87) | (~(v145(constB87) | v166(constB87)))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30193,plain,
% 15.38/11.43 (v165(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30192, 30191, 30173])).
% 15.38/11.43 tff(30194,plain,
% 15.38/11.43 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB87)) | (v162(constB87) <=> v169(constB87)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB87)) | (v162(constB87) <=> v169(constB87)))),
% 15.38/11.43 inference(rewrite,[status(thm)],[])).
% 15.38/11.43 tff(30195,plain,
% 15.38/11.43 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB87)) | (v162(constB87) <=> v169(constB87)))),
% 15.38/11.43 inference(quant_inst,[status(thm)],[])).
% 15.38/11.43 tff(30196,plain,
% 15.38/11.43 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB87)) | (v162(constB87) <=> v169(constB87))),
% 15.38/11.43 inference(modus_ponens,[status(thm)],[30195, 30194])).
% 15.38/11.43 tff(30197,plain,
% 15.38/11.43 ((~v165(constB87)) | (v162(constB87) <=> v169(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30196, 2426])).
% 15.38/11.43 tff(30198,plain,
% 15.38/11.43 (v162(constB87) <=> v169(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30197, 30193])).
% 15.38/11.43 tff(30199,plain,
% 15.38/11.43 ((~(v162(constB87) <=> v169(constB87))) | (~v162(constB87)) | v169(constB87)),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30200,plain,
% 15.38/11.43 (~v162(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30199, 30198, 30171])).
% 15.38/11.43 tff(30201,plain,
% 15.38/11.43 ((~(v160(constB87) <=> v162(constB87))) | (~v160(constB87)) | v162(constB87)),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30202,plain,
% 15.38/11.43 ((~(v160(constB87) <=> v162(constB87))) | (~v160(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30201, 30200])).
% 15.38/11.43 tff(30203,plain,
% 15.38/11.43 (~v160(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30202, 30131])).
% 15.38/11.43 tff(30204,plain,
% 15.38/11.43 (((~v184(constB87)) | (~v160(constB87))) | v160(constB87)),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30205,plain,
% 15.38/11.43 ((~v184(constB87)) | (~v160(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30204, 30203])).
% 15.38/11.43 tff(30206,plain,
% 15.38/11.43 ((~(v187(constB87) <=> (~((~v184(constB87)) | (~v160(constB87)))))) | (~v187(constB87)) | (~((~v184(constB87)) | (~v160(constB87))))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30207,plain,
% 15.38/11.43 (~v187(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30206, 30205, 30129])).
% 15.38/11.43 tff(30208,plain,
% 15.38/11.43 (((~v186(constB87)) | (~v187(constB87))) | v187(constB87)),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30209,plain,
% 15.38/11.43 ((~v186(constB87)) | (~v187(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30208, 30207])).
% 15.38/11.43 tff(30210,plain,
% 15.38/11.43 ((~(v185(constB87) <=> (~((~v186(constB87)) | (~v187(constB87)))))) | (~v185(constB87)) | (~((~v186(constB87)) | (~v187(constB87))))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30211,plain,
% 15.38/11.43 (~v185(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30210, 30209, 30127])).
% 15.38/11.43 tff(30212,plain,
% 15.38/11.43 ((~(v181(constB87) | v185(constB87))) | v181(constB87) | v185(constB87)),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30213,plain,
% 15.38/11.43 (~(v181(constB87) | v185(constB87))),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30212, 30211, 30125])).
% 15.38/11.43 tff(30214,plain,
% 15.38/11.43 ((~(v178(constB87) <=> (v181(constB87) | v185(constB87)))) | (~v178(constB87)) | (v181(constB87) | v185(constB87))),
% 15.38/11.43 inference(tautology,[status(thm)],[])).
% 15.38/11.43 tff(30215,plain,
% 15.38/11.43 (~v178(constB87)),
% 15.38/11.43 inference(unit_resolution,[status(thm)],[30214, 30213, 30114])).
% 15.38/11.44 tff(30216,plain,
% 15.38/11.44 ((~(v180(constB88) <=> v178(constB87))) | (~v180(constB88)) | v178(constB87)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30217,plain,
% 15.38/11.44 (~v180(constB88)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30216, 30215, 30112])).
% 15.38/11.44 tff(30218,plain,
% 15.38/11.44 ((~(v158(constB88) <=> v180(constB88))) | (~v158(constB88)) | v180(constB88)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30219,plain,
% 15.38/11.44 (~v158(constB88)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30218, 30217, 30108])).
% 15.38/11.44 tff(30220,plain,
% 15.38/11.44 (((~v158(constB88)) | (~v182(constB88))) | v158(constB88)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30221,plain,
% 15.38/11.44 ((~v158(constB88)) | (~v182(constB88))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30220, 30219])).
% 15.38/11.44 tff(30222,plain,
% 15.38/11.44 ((~(v181(constB88) <=> (~((~v158(constB88)) | (~v182(constB88)))))) | (~v181(constB88)) | (~((~v158(constB88)) | (~v182(constB88))))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30223,plain,
% 15.38/11.44 (~v181(constB88)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30222, 30221, 30106])).
% 15.38/11.44 tff(30224,plain,
% 15.38/11.44 ((~(v181(constB88) | v185(constB88))) | v181(constB88) | v185(constB88)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30225,plain,
% 15.38/11.44 (~(v181(constB88) | v185(constB88))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30224, 30223, 30099])).
% 15.38/11.44 tff(30226,plain,
% 15.38/11.44 ((~(v178(constB88) <=> (v181(constB88) | v185(constB88)))) | (~v178(constB88)) | (v181(constB88) | v185(constB88))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30227,plain,
% 15.38/11.44 (~v178(constB88)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30226, 30225, 30086])).
% 15.38/11.44 tff(30228,plain,
% 15.38/11.44 ((~(v180(constB89) <=> v178(constB88))) | (~v180(constB89)) | v178(constB88)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30229,plain,
% 15.38/11.44 (~v180(constB89)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30228, 30227, 30084])).
% 15.38/11.44 tff(30230,plain,
% 15.38/11.44 ((~(v158(constB89) <=> v180(constB89))) | (~v158(constB89)) | v180(constB89)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30231,plain,
% 15.38/11.44 (~v158(constB89)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30230, 30229, 30080])).
% 15.38/11.44 tff(30232,plain,
% 15.38/11.44 (((~v158(constB89)) | (~v206(constB89))) | v158(constB89)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30233,plain,
% 15.38/11.44 ((~v158(constB89)) | (~v206(constB89))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30232, 30231])).
% 15.38/11.44 tff(30234,plain,
% 15.38/11.44 ((~(v205(constB89) <=> (~((~v158(constB89)) | (~v206(constB89)))))) | (~v205(constB89)) | (~((~v158(constB89)) | (~v206(constB89))))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30235,plain,
% 15.38/11.44 (~v205(constB89)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30234, 30233, 30078])).
% 15.38/11.44 tff(30236,plain,
% 15.38/11.44 ((~(v205(constB89) | v209(constB89))) | v205(constB89) | v209(constB89)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30237,plain,
% 15.38/11.44 (~(v205(constB89) | v209(constB89))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30236, 30235, 30071])).
% 15.38/11.44 tff(30238,plain,
% 15.38/11.44 ((~(v204(constB89) <=> (v205(constB89) | v209(constB89)))) | (~v204(constB89)) | (v205(constB89) | v209(constB89))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30239,plain,
% 15.38/11.44 (~v204(constB89)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30238, 30237, 29671])).
% 15.38/11.44 tff(30240,plain,
% 15.38/11.44 ($false),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30239, 29669])).
% 15.38/11.44 tff(30241,plain,(~(constB89 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.38/11.44 tff(30242,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 15.38/11.44 tff(30243,plain,
% 15.38/11.44 (v204(constB67) <=> v204(VarCurr!0)),
% 15.38/11.44 inference(monotonicity,[status(thm)],[30242])).
% 15.38/11.44 tff(30244,plain,
% 15.38/11.44 (v204(VarCurr!0) <=> v204(constB67)),
% 15.38/11.44 inference(symmetry,[status(thm)],[30243])).
% 15.38/11.44 tff(30245,plain,
% 15.38/11.44 (v204(constB67)),
% 15.38/11.44 inference(modus_ponens,[status(thm)],[27, 30244])).
% 15.38/11.44 tff(30246,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB67) <=> (v205(constB67) | v209(constB67)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30247,plain,
% 15.38/11.44 (v204(constB67) <=> (v205(constB67) | v209(constB67))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30246, 35])).
% 15.38/11.44 tff(30248,plain,
% 15.38/11.44 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67))))))),
% 15.38/11.44 inference(rewrite,[status(thm)],[])).
% 15.38/11.44 tff(30249,plain,
% 15.38/11.44 ((v209(constB67) <=> (~((~v206(constB67)) | (~v191(constB67))))) <=> (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67)))))),
% 15.38/11.44 inference(rewrite,[status(thm)],[])).
% 15.38/11.44 tff(30250,plain,
% 15.38/11.44 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v206(constB67)) | (~v191(constB67)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67))))))),
% 15.38/11.44 inference(monotonicity,[status(thm)],[30249])).
% 15.38/11.44 tff(30251,plain,
% 15.38/11.44 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v206(constB67)) | (~v191(constB67)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67))))))),
% 15.38/11.44 inference(transitivity,[status(thm)],[30250, 30248])).
% 15.38/11.44 tff(30252,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v206(constB67)) | (~v191(constB67)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30253,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67)))))),
% 15.38/11.44 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 15.38/11.44 tff(30254,plain,
% 15.38/11.44 (v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30253, 47])).
% 15.38/11.44 tff(30255,plain,
% 15.38/11.44 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB67) <=> v196(constB67))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30256,plain,
% 15.38/11.44 (v191(constB67) <=> v196(constB67)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30255, 64])).
% 15.38/11.44 tff(30257,plain,
% 15.38/11.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB66, constB67)) | (v196(constB67) <=> v194(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB66, constB67)) | (v196(constB67) <=> v194(constB66)))),
% 15.38/11.44 inference(rewrite,[status(thm)],[])).
% 15.38/11.44 tff(30258,plain,
% 15.38/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB66, constB67)) | (v196(constB67) <=> v194(constB66)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30259,plain,
% 15.38/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB66, constB67)) | (v196(constB67) <=> v194(constB66))),
% 15.38/11.44 inference(modus_ponens,[status(thm)],[30258, 30257])).
% 15.38/11.44 tff(30260,plain,
% 15.38/11.44 (v196(constB67) <=> v194(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30259, 5397, 76])).
% 15.38/11.44 tff(30261,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB66) <=> (v197(constB66) | v198(constB66)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30262,plain,
% 15.38/11.44 (v194(constB66) <=> (v197(constB66) | v198(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30261, 90])).
% 15.38/11.44 tff(30263,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB66) <=> (~((~v158(constB66)) | (~v199(constB66)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30264,plain,
% 15.38/11.44 (v198(constB66) <=> (~((~v158(constB66)) | (~v199(constB66))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30263, 102])).
% 15.38/11.44 tff(30265,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB66) <=> (~((~v186(constB66)) | (~v200(constB66)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30266,plain,
% 15.38/11.44 (v199(constB66) <=> (~((~v186(constB66)) | (~v200(constB66))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30265, 114])).
% 15.38/11.44 tff(30267,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB66) <=> (~((~v184(constB66)) | (~v84(constB66)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30268,plain,
% 15.38/11.44 (v200(constB66) <=> (~((~v184(constB66)) | (~v84(constB66))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30267, 126])).
% 15.38/11.44 tff(30269,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30270,plain,
% 15.38/11.44 (v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30269, 138])).
% 15.38/11.44 tff(30271,plain,
% 15.38/11.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30272,plain,
% 15.38/11.44 ((~v39(constB66)) <=> v1(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30271, 147])).
% 15.38/11.44 tff(30273,plain,
% 15.38/11.44 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30274,plain,
% 15.38/11.44 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30273, 5459])).
% 15.38/11.44 tff(30275,plain,
% 15.38/11.44 (~v39(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30274, 30272])).
% 15.38/11.44 tff(30276,plain,
% 15.38/11.44 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30277,plain,
% 15.38/11.44 ((~v39(constB66)) | (~v9(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30276, 30275])).
% 15.38/11.44 tff(30278,plain,
% 15.38/11.44 ((~(v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v184(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30279,plain,
% 15.38/11.44 ((~(v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v184(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30278, 30277])).
% 15.38/11.44 tff(30280,plain,
% 15.38/11.44 (~v184(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30279, 30270])).
% 15.38/11.44 tff(30281,plain,
% 15.38/11.44 (((~v184(constB66)) | (~v84(constB66))) | v184(constB66)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30282,plain,
% 15.38/11.44 ((~v184(constB66)) | (~v84(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30281, 30280])).
% 15.38/11.44 tff(30283,plain,
% 15.38/11.44 ((~(v200(constB66) <=> (~((~v184(constB66)) | (~v84(constB66)))))) | (~v200(constB66)) | (~((~v184(constB66)) | (~v84(constB66))))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30284,plain,
% 15.38/11.44 ((~(v200(constB66) <=> (~((~v184(constB66)) | (~v84(constB66)))))) | (~v200(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30283, 30282])).
% 15.38/11.44 tff(30285,plain,
% 15.38/11.44 (~v200(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30284, 30268])).
% 15.38/11.44 tff(30286,plain,
% 15.38/11.44 (((~v186(constB66)) | (~v200(constB66))) | v200(constB66)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30287,plain,
% 15.38/11.44 ((~v186(constB66)) | (~v200(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30286, 30285])).
% 15.38/11.44 tff(30288,plain,
% 15.38/11.44 ((~(v199(constB66) <=> (~((~v186(constB66)) | (~v200(constB66)))))) | (~v199(constB66)) | (~((~v186(constB66)) | (~v200(constB66))))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30289,plain,
% 15.38/11.44 (~v199(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30288, 30287, 30266])).
% 15.38/11.44 tff(30290,plain,
% 15.38/11.44 (((~v158(constB66)) | (~v199(constB66))) | v199(constB66)),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30291,plain,
% 15.38/11.44 ((~v158(constB66)) | (~v199(constB66))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30290, 30289])).
% 15.38/11.44 tff(30292,plain,
% 15.38/11.44 ((~(v198(constB66) <=> (~((~v158(constB66)) | (~v199(constB66)))))) | (~v198(constB66)) | (~((~v158(constB66)) | (~v199(constB66))))),
% 15.38/11.44 inference(tautology,[status(thm)],[])).
% 15.38/11.44 tff(30293,plain,
% 15.38/11.44 (~v198(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30292, 30291, 30264])).
% 15.38/11.44 tff(30294,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB66) <=> (~((~v182(constB66)) | (~v191(constB66)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30295,plain,
% 15.38/11.44 (v197(constB66) <=> (~((~v182(constB66)) | (~v191(constB66))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30294, 183])).
% 15.38/11.44 tff(30296,plain,
% 15.38/11.44 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB66) <=> v196(constB66))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30297,plain,
% 15.38/11.44 (v191(constB66) <=> v196(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30296, 64])).
% 15.38/11.44 tff(30298,plain,
% 15.38/11.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB65, constB66)) | (v196(constB66) <=> v194(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB65, constB66)) | (v196(constB66) <=> v194(constB65)))),
% 15.38/11.44 inference(rewrite,[status(thm)],[])).
% 15.38/11.44 tff(30299,plain,
% 15.38/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB65, constB66)) | (v196(constB66) <=> v194(constB65)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30300,plain,
% 15.38/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB65, constB66)) | (v196(constB66) <=> v194(constB65))),
% 15.38/11.44 inference(modus_ponens,[status(thm)],[30299, 30298])).
% 15.38/11.44 tff(30301,plain,
% 15.38/11.44 (v196(constB66) <=> v194(constB65)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30300, 5429, 76])).
% 15.38/11.44 tff(30302,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB65) <=> (v197(constB65) | v198(constB65)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30303,plain,
% 15.38/11.44 (v194(constB65) <=> (v197(constB65) | v198(constB65))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30302, 90])).
% 15.38/11.44 tff(30304,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB65) <=> (~((~v182(constB65)) | (~v191(constB65)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30305,plain,
% 15.38/11.44 (v197(constB65) <=> (~((~v182(constB65)) | (~v191(constB65))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30304, 183])).
% 15.38/11.44 tff(30306,plain,
% 15.38/11.44 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB65)) <=> v183(constB65))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30307,plain,
% 15.38/11.44 ((~v182(constB65)) <=> v183(constB65)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30306, 205])).
% 15.38/11.44 tff(30308,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB65) <=> (v184(constB65) | v26(constB65)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30309,plain,
% 15.38/11.44 (v183(constB65) <=> (v184(constB65) | v26(constB65))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30308, 214])).
% 15.38/11.44 tff(30310,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30311,plain,
% 15.38/11.44 (v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30310, 138])).
% 15.38/11.44 tff(30312,plain,
% 15.38/11.44 (((~![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)))),
% 15.38/11.44 inference(rewrite,[status(thm)],[])).
% 15.38/11.44 tff(30313,plain,
% 15.38/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30314,plain,
% 15.38/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 15.38/11.44 inference(modus_ponens,[status(thm)],[30313, 30312])).
% 15.38/11.44 tff(30315,plain,
% 15.38/11.44 (v13(constB66) <=> v9(constB65)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30314, 5429, 228])).
% 15.38/11.44 tff(30316,plain,
% 15.38/11.44 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30317,plain,
% 15.38/11.44 (v6(constB66) <=> v13(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30316, 242])).
% 15.38/11.44 tff(30318,plain,
% 15.38/11.44 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 15.38/11.44 inference(quant_inst,[status(thm)],[])).
% 15.38/11.44 tff(30319,plain,
% 15.38/11.44 ((~v21(constB66)) <=> v6(constB66)),
% 15.38/11.44 inference(unit_resolution,[status(thm)],[30318, 251])).
% 15.38/11.44 tff(30320,plain,
% 15.38/11.44 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30321,plain,
% 15.38/11.45 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30320, 260])).
% 15.38/11.45 tff(30322,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30323,plain,
% 15.38/11.45 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30322, 272])).
% 15.38/11.45 tff(30324,plain,
% 15.38/11.45 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30325,plain,
% 15.38/11.45 ((~v4(constB66)) <=> v18(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30324, 281])).
% 15.38/11.45 tff(30326,plain,
% 15.38/11.45 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB66)),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30327,plain,
% 15.38/11.45 (v4(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30326, 290])).
% 15.38/11.45 tff(30328,plain,
% 15.38/11.45 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30329,plain,
% 15.38/11.45 (~v18(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30328, 30327, 30325])).
% 15.38/11.45 tff(30330,plain,
% 15.38/11.45 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30331,plain,
% 15.38/11.45 ((~v19(constB66)) | (~v22(constB66))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30330, 30329, 30323])).
% 15.38/11.45 tff(30332,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30333,plain,
% 15.38/11.45 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30332, 303])).
% 15.38/11.45 tff(30334,plain,
% 15.38/11.45 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30335,plain,
% 15.38/11.45 (v1(constB66) | v6(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30334, 5459])).
% 15.38/11.45 tff(30336,plain,
% 15.38/11.45 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30337,plain,
% 15.38/11.45 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30336, 30335])).
% 15.38/11.45 tff(30338,plain,
% 15.38/11.45 (v22(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30337, 30333])).
% 15.38/11.45 tff(30339,plain,
% 15.38/11.45 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30340,plain,
% 15.38/11.45 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30339, 30338])).
% 15.38/11.45 tff(30341,plain,
% 15.38/11.45 (~v19(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30340, 30331])).
% 15.38/11.45 tff(30342,plain,
% 15.38/11.45 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30343,plain,
% 15.38/11.45 (~(v20(constB66) | v21(constB66))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30342, 30341, 30321])).
% 15.38/11.45 tff(30344,plain,
% 15.38/11.45 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30345,plain,
% 15.38/11.45 (~v21(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30344, 30343])).
% 15.38/11.45 tff(30346,plain,
% 15.38/11.45 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30347,plain,
% 15.38/11.45 (v6(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30346, 30345, 30319])).
% 15.38/11.45 tff(30348,plain,
% 15.38/11.45 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30349,plain,
% 15.38/11.45 (v13(constB66)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30348, 30347, 30317])).
% 15.38/11.45 tff(30350,plain,
% 15.38/11.45 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30351,plain,
% 15.38/11.45 (v9(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30350, 30349, 30315])).
% 15.38/11.45 tff(30352,plain,
% 15.38/11.45 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30353,plain,
% 15.38/11.45 ((~v39(constB65)) <=> v1(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30352, 147])).
% 15.38/11.45 tff(30354,plain,
% 15.38/11.45 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30355,plain,
% 15.38/11.45 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30354, 5451])).
% 15.38/11.45 tff(30356,plain,
% 15.38/11.45 (v39(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30355, 30353])).
% 15.38/11.45 tff(30357,plain,
% 15.38/11.45 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30358,plain,
% 15.38/11.45 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30357, 30356])).
% 15.38/11.45 tff(30359,plain,
% 15.38/11.45 (~((~v39(constB65)) | (~v9(constB65)))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30358, 30351])).
% 15.38/11.45 tff(30360,plain,
% 15.38/11.45 ((~(v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v184(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30361,plain,
% 15.38/11.45 (v184(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30360, 30359, 30311])).
% 15.38/11.45 tff(30362,plain,
% 15.38/11.45 ((v184(constB65) | v26(constB65)) | (~v184(constB65))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30363,plain,
% 15.38/11.45 (v184(constB65) | v26(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30362, 30361])).
% 15.38/11.45 tff(30364,plain,
% 15.38/11.45 ((~(v183(constB65) <=> (v184(constB65) | v26(constB65)))) | v183(constB65) | (~(v184(constB65) | v26(constB65)))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30365,plain,
% 15.38/11.45 (v183(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30364, 30363, 30309])).
% 15.38/11.45 tff(30366,plain,
% 15.38/11.45 ((~((~v182(constB65)) <=> v183(constB65))) | (~v182(constB65)) | (~v183(constB65))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30367,plain,
% 15.38/11.45 (~v182(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30366, 30365, 30307])).
% 15.38/11.45 tff(30368,plain,
% 15.38/11.45 (((~v182(constB65)) | (~v191(constB65))) | v182(constB65)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30369,plain,
% 15.38/11.45 ((~v182(constB65)) | (~v191(constB65))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30368, 30367])).
% 15.38/11.45 tff(30370,plain,
% 15.38/11.45 ((~(v197(constB65) <=> (~((~v182(constB65)) | (~v191(constB65)))))) | (~v197(constB65)) | (~((~v182(constB65)) | (~v191(constB65))))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30371,plain,
% 15.38/11.45 (~v197(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30370, 30369, 30305])).
% 15.38/11.45 tff(30372,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB65) <=> (~((~v158(constB65)) | (~v199(constB65)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30373,plain,
% 15.38/11.45 (v198(constB65) <=> (~((~v158(constB65)) | (~v199(constB65))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30372, 102])).
% 15.38/11.45 tff(30374,plain,
% 15.38/11.45 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB65) <=> v180(constB65))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30375,plain,
% 15.38/11.45 (v158(constB65) <=> v180(constB65)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30374, 358])).
% 15.38/11.45 tff(30376,plain,
% 15.38/11.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB64, constB65)) | (v180(constB65) <=> v178(constB64)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB64, constB65)) | (v180(constB65) <=> v178(constB64)))),
% 15.38/11.45 inference(rewrite,[status(thm)],[])).
% 15.38/11.45 tff(30377,plain,
% 15.38/11.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB64, constB65)) | (v180(constB65) <=> v178(constB64)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30378,plain,
% 15.38/11.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB64, constB65)) | (v180(constB65) <=> v178(constB64))),
% 15.38/11.45 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 15.38/11.45 tff(30379,plain,
% 15.38/11.45 (v180(constB65) <=> v178(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30378, 5492, 370])).
% 15.38/11.45 tff(30380,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB64) <=> (v181(constB64) | v185(constB64)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30381,plain,
% 15.38/11.45 (v178(constB64) <=> (v181(constB64) | v185(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30380, 384])).
% 15.38/11.45 tff(30382,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB64) <=> (~((~v186(constB64)) | (~v187(constB64)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30383,plain,
% 15.38/11.45 (v185(constB64) <=> (~((~v186(constB64)) | (~v187(constB64))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30382, 396])).
% 15.38/11.45 tff(30384,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB64) <=> (~((~v184(constB64)) | (~v160(constB64)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30385,plain,
% 15.38/11.45 (v187(constB64) <=> (~((~v184(constB64)) | (~v160(constB64))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30384, 408])).
% 15.38/11.45 tff(30386,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30387,plain,
% 15.38/11.45 (v184(constB64) <=> (~((~v39(constB64)) | (~v9(constB64))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30386, 138])).
% 15.38/11.45 tff(30388,plain,
% 15.38/11.45 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB64)) <=> v1(constB64))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30389,plain,
% 15.38/11.45 ((~v39(constB64)) <=> v1(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30388, 147])).
% 15.38/11.45 tff(30390,plain,
% 15.38/11.45 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64)) | (~v1(constB64))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30391,plain,
% 15.38/11.45 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30390, 5554])).
% 15.38/11.45 tff(30392,plain,
% 15.38/11.45 (~v39(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30391, 30389])).
% 15.38/11.45 tff(30393,plain,
% 15.38/11.45 (((~v39(constB64)) | (~v9(constB64))) | v39(constB64)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30394,plain,
% 15.38/11.45 ((~v39(constB64)) | (~v9(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30393, 30392])).
% 15.38/11.45 tff(30395,plain,
% 15.38/11.45 ((~(v184(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v184(constB64)) | (~((~v39(constB64)) | (~v9(constB64))))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30396,plain,
% 15.38/11.45 ((~(v184(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v184(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30395, 30394])).
% 15.38/11.45 tff(30397,plain,
% 15.38/11.45 (~v184(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30396, 30387])).
% 15.38/11.45 tff(30398,plain,
% 15.38/11.45 (((~v184(constB64)) | (~v160(constB64))) | v184(constB64)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30399,plain,
% 15.38/11.45 ((~v184(constB64)) | (~v160(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30398, 30397])).
% 15.38/11.45 tff(30400,plain,
% 15.38/11.45 ((~(v187(constB64) <=> (~((~v184(constB64)) | (~v160(constB64)))))) | (~v187(constB64)) | (~((~v184(constB64)) | (~v160(constB64))))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30401,plain,
% 15.38/11.45 ((~(v187(constB64) <=> (~((~v184(constB64)) | (~v160(constB64)))))) | (~v187(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30400, 30399])).
% 15.38/11.45 tff(30402,plain,
% 15.38/11.45 (~v187(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30401, 30385])).
% 15.38/11.45 tff(30403,plain,
% 15.38/11.45 (((~v186(constB64)) | (~v187(constB64))) | v187(constB64)),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30404,plain,
% 15.38/11.45 ((~v186(constB64)) | (~v187(constB64))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30403, 30402])).
% 15.38/11.45 tff(30405,plain,
% 15.38/11.45 ((~(v185(constB64) <=> (~((~v186(constB64)) | (~v187(constB64)))))) | (~v185(constB64)) | (~((~v186(constB64)) | (~v187(constB64))))),
% 15.38/11.45 inference(tautology,[status(thm)],[])).
% 15.38/11.45 tff(30406,plain,
% 15.38/11.45 (~v185(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30405, 30404, 30383])).
% 15.38/11.45 tff(30407,plain,
% 15.38/11.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64))))))),
% 15.38/11.45 inference(rewrite,[status(thm)],[])).
% 15.38/11.45 tff(30408,plain,
% 15.38/11.45 ((v181(constB64) <=> (~((~v182(constB64)) | (~v158(constB64))))) <=> (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64)))))),
% 15.38/11.45 inference(rewrite,[status(thm)],[])).
% 15.38/11.45 tff(30409,plain,
% 15.38/11.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v182(constB64)) | (~v158(constB64)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64))))))),
% 15.38/11.45 inference(monotonicity,[status(thm)],[30408])).
% 15.38/11.45 tff(30410,plain,
% 15.38/11.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v182(constB64)) | (~v158(constB64)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64))))))),
% 15.38/11.45 inference(transitivity,[status(thm)],[30409, 30407])).
% 15.38/11.45 tff(30411,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v182(constB64)) | (~v158(constB64)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30412,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64)))))),
% 15.38/11.45 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 15.38/11.45 tff(30413,plain,
% 15.38/11.45 (v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30412, 444])).
% 15.38/11.45 tff(30414,plain,
% 15.38/11.45 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB64) <=> v180(constB64))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30415,plain,
% 15.38/11.45 (v158(constB64) <=> v180(constB64)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30414, 358])).
% 15.38/11.45 tff(30416,plain,
% 15.38/11.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB63, constB64)) | (v180(constB64) <=> v178(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB63, constB64)) | (v180(constB64) <=> v178(constB63)))),
% 15.38/11.45 inference(rewrite,[status(thm)],[])).
% 15.38/11.45 tff(30417,plain,
% 15.38/11.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB63, constB64)) | (v180(constB64) <=> v178(constB63)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30418,plain,
% 15.38/11.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB63, constB64)) | (v180(constB64) <=> v178(constB63))),
% 15.38/11.45 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 15.38/11.45 tff(30419,plain,
% 15.38/11.45 (v180(constB64) <=> v178(constB63)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30418, 5524, 370])).
% 15.38/11.45 tff(30420,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB63) <=> (v181(constB63) | v185(constB63)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30421,plain,
% 15.38/11.45 (v178(constB63) <=> (v181(constB63) | v185(constB63))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30420, 384])).
% 15.38/11.45 tff(30422,plain,
% 15.38/11.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63))))))),
% 15.38/11.45 inference(rewrite,[status(thm)],[])).
% 15.38/11.45 tff(30423,plain,
% 15.38/11.45 ((v181(constB63) <=> (~((~v182(constB63)) | (~v158(constB63))))) <=> (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63)))))),
% 15.38/11.45 inference(rewrite,[status(thm)],[])).
% 15.38/11.45 tff(30424,plain,
% 15.38/11.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v182(constB63)) | (~v158(constB63)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63))))))),
% 15.38/11.45 inference(monotonicity,[status(thm)],[30423])).
% 15.38/11.45 tff(30425,plain,
% 15.38/11.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v182(constB63)) | (~v158(constB63)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63))))))),
% 15.38/11.45 inference(transitivity,[status(thm)],[30424, 30422])).
% 15.38/11.45 tff(30426,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v182(constB63)) | (~v158(constB63)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30427,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63)))))),
% 15.38/11.45 inference(modus_ponens,[status(thm)],[30426, 30425])).
% 15.38/11.45 tff(30428,plain,
% 15.38/11.45 (v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30427, 444])).
% 15.38/11.45 tff(30429,plain,
% 15.38/11.45 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB63)) <=> v183(constB63))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30430,plain,
% 15.38/11.45 ((~v182(constB63)) <=> v183(constB63)),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30429, 205])).
% 15.38/11.45 tff(30431,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB63) <=> (v184(constB63) | v26(constB63)))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30432,plain,
% 15.38/11.45 (v183(constB63) <=> (v184(constB63) | v26(constB63))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30431, 214])).
% 15.38/11.45 tff(30433,plain,
% 15.38/11.45 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB63) <=> (~((~v39(constB63)) | (~v9(constB63)))))),
% 15.38/11.45 inference(quant_inst,[status(thm)],[])).
% 15.38/11.45 tff(30434,plain,
% 15.38/11.45 (v184(constB63) <=> (~((~v39(constB63)) | (~v9(constB63))))),
% 15.38/11.45 inference(unit_resolution,[status(thm)],[30433, 138])).
% 15.38/11.45 tff(30435,plain,
% 15.38/11.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30436,plain,
% 15.38/11.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30437,plain,
% 15.38/11.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63))),
% 15.38/11.46 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 15.38/11.46 tff(30438,plain,
% 15.38/11.46 (v13(constB64) <=> v9(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30437, 5524, 228])).
% 15.38/11.46 tff(30439,plain,
% 15.38/11.46 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB64) <=> v13(constB64))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30440,plain,
% 15.38/11.46 (v6(constB64) <=> v13(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30439, 242])).
% 15.38/11.46 tff(30441,plain,
% 15.38/11.46 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB64)) <=> v6(constB64))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30442,plain,
% 15.38/11.46 ((~v21(constB64)) <=> v6(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30441, 251])).
% 15.38/11.46 tff(30443,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB64) <=> (v20(constB64) | v21(constB64)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30444,plain,
% 15.38/11.46 (v19(constB64) <=> (v20(constB64) | v21(constB64))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30443, 260])).
% 15.38/11.46 tff(30445,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64)))))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30446,plain,
% 15.38/11.46 (v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64))))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30445, 272])).
% 15.38/11.46 tff(30447,plain,
% 15.38/11.46 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB64)) <=> v18(constB64))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30448,plain,
% 15.38/11.46 ((~v4(constB64)) <=> v18(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30447, 281])).
% 15.38/11.46 tff(30449,plain,
% 15.38/11.46 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB64)),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30450,plain,
% 15.38/11.46 (v4(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30449, 290])).
% 15.38/11.46 tff(30451,plain,
% 15.38/11.46 ((~((~v4(constB64)) <=> v18(constB64))) | (~v4(constB64)) | (~v18(constB64))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30452,plain,
% 15.38/11.46 (~v18(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30451, 30450, 30448])).
% 15.38/11.46 tff(30453,plain,
% 15.38/11.46 ((~(v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64)))))) | v18(constB64) | ((~v19(constB64)) | (~v22(constB64)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30454,plain,
% 15.38/11.46 ((~v19(constB64)) | (~v22(constB64))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30453, 30452, 30446])).
% 15.38/11.46 tff(30455,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB64) <=> (v1(constB64) | v6(constB64)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30456,plain,
% 15.38/11.46 (v22(constB64) <=> (v1(constB64) | v6(constB64))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30455, 303])).
% 15.38/11.46 tff(30457,plain,
% 15.38/11.46 ((v1(constB64) | v6(constB64)) | (~v1(constB64))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30458,plain,
% 15.38/11.46 (v1(constB64) | v6(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30457, 5554])).
% 15.38/11.46 tff(30459,plain,
% 15.38/11.46 ((~(v22(constB64) <=> (v1(constB64) | v6(constB64)))) | v22(constB64) | (~(v1(constB64) | v6(constB64)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30460,plain,
% 15.38/11.46 ((~(v22(constB64) <=> (v1(constB64) | v6(constB64)))) | v22(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30459, 30458])).
% 15.38/11.46 tff(30461,plain,
% 15.38/11.46 (v22(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30460, 30456])).
% 15.38/11.46 tff(30462,plain,
% 15.38/11.46 ((~((~v19(constB64)) | (~v22(constB64)))) | (~v19(constB64)) | (~v22(constB64))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30463,plain,
% 15.38/11.46 ((~((~v19(constB64)) | (~v22(constB64)))) | (~v19(constB64))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30462, 30461])).
% 15.38/11.46 tff(30464,plain,
% 15.38/11.46 (~v19(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30463, 30454])).
% 15.38/11.46 tff(30465,plain,
% 15.38/11.46 ((~(v19(constB64) <=> (v20(constB64) | v21(constB64)))) | v19(constB64) | (~(v20(constB64) | v21(constB64)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30466,plain,
% 15.38/11.46 (~(v20(constB64) | v21(constB64))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30465, 30464, 30444])).
% 15.38/11.46 tff(30467,plain,
% 15.38/11.46 ((v20(constB64) | v21(constB64)) | (~v21(constB64))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30468,plain,
% 15.38/11.46 (~v21(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30467, 30466])).
% 15.38/11.46 tff(30469,plain,
% 15.38/11.46 ((~((~v21(constB64)) <=> v6(constB64))) | v21(constB64) | v6(constB64)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30470,plain,
% 15.38/11.46 (v6(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30469, 30468, 30442])).
% 15.38/11.46 tff(30471,plain,
% 15.38/11.46 ((~(v6(constB64) <=> v13(constB64))) | (~v6(constB64)) | v13(constB64)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30472,plain,
% 15.38/11.46 (v13(constB64)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30471, 30470, 30440])).
% 15.38/11.46 tff(30473,plain,
% 15.38/11.46 ((~(v13(constB64) <=> v9(constB63))) | (~v13(constB64)) | v9(constB63)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30474,plain,
% 15.38/11.46 (v9(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30473, 30472, 30438])).
% 15.38/11.46 tff(30475,plain,
% 15.38/11.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB63)) <=> v1(constB63))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30476,plain,
% 15.38/11.46 ((~v39(constB63)) <=> v1(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30475, 147])).
% 15.38/11.46 tff(30477,plain,
% 15.38/11.46 ((~((~v39(constB63)) <=> v1(constB63))) | v39(constB63) | v1(constB63)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30478,plain,
% 15.38/11.46 ((~((~v39(constB63)) <=> v1(constB63))) | v39(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30477, 5546])).
% 15.38/11.46 tff(30479,plain,
% 15.38/11.46 (v39(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30478, 30476])).
% 15.38/11.46 tff(30480,plain,
% 15.38/11.46 ((~((~v39(constB63)) | (~v9(constB63)))) | (~v39(constB63)) | (~v9(constB63))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30481,plain,
% 15.38/11.46 ((~((~v39(constB63)) | (~v9(constB63)))) | (~v9(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30480, 30479])).
% 15.38/11.46 tff(30482,plain,
% 15.38/11.46 (~((~v39(constB63)) | (~v9(constB63)))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30481, 30474])).
% 15.38/11.46 tff(30483,plain,
% 15.38/11.46 ((~(v184(constB63) <=> (~((~v39(constB63)) | (~v9(constB63)))))) | v184(constB63) | ((~v39(constB63)) | (~v9(constB63)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30484,plain,
% 15.38/11.46 (v184(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30483, 30482, 30434])).
% 15.38/11.46 tff(30485,plain,
% 15.38/11.46 ((v184(constB63) | v26(constB63)) | (~v184(constB63))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30486,plain,
% 15.38/11.46 (v184(constB63) | v26(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30485, 30484])).
% 15.38/11.46 tff(30487,plain,
% 15.38/11.46 ((~(v183(constB63) <=> (v184(constB63) | v26(constB63)))) | v183(constB63) | (~(v184(constB63) | v26(constB63)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30488,plain,
% 15.38/11.46 (v183(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30487, 30486, 30432])).
% 15.38/11.46 tff(30489,plain,
% 15.38/11.46 ((~((~v182(constB63)) <=> v183(constB63))) | (~v182(constB63)) | (~v183(constB63))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30490,plain,
% 15.38/11.46 (~v182(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30489, 30488, 30430])).
% 15.38/11.46 tff(30491,plain,
% 15.38/11.46 (((~v158(constB63)) | (~v182(constB63))) | v182(constB63)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30492,plain,
% 15.38/11.46 ((~v158(constB63)) | (~v182(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30491, 30490])).
% 15.38/11.46 tff(30493,plain,
% 15.38/11.46 ((~(v181(constB63) <=> (~((~v158(constB63)) | (~v182(constB63)))))) | (~v181(constB63)) | (~((~v158(constB63)) | (~v182(constB63))))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30494,plain,
% 15.38/11.46 (~v181(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30493, 30492, 30428])).
% 15.38/11.46 tff(30495,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB63) <=> (~((~v186(constB63)) | (~v187(constB63)))))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30496,plain,
% 15.38/11.46 (v185(constB63) <=> (~((~v186(constB63)) | (~v187(constB63))))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30495, 396])).
% 15.38/11.46 tff(30497,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB63) <=> (~((~v184(constB63)) | (~v160(constB63)))))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30498,plain,
% 15.38/11.46 (v187(constB63) <=> (~((~v184(constB63)) | (~v160(constB63))))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30497, 408])).
% 15.38/11.46 tff(30499,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB63) <=> v162(constB63))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30500,plain,
% 15.38/11.46 (v160(constB63) <=> v162(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30499, 549])).
% 15.38/11.46 tff(30501,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB63) <=> (v139(constB63) | v140(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30502,plain,
% 15.38/11.46 (v170(constB63) <=> (v139(constB63) | v140(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30501, 2216])).
% 15.38/11.46 tff(30503,plain,
% 15.38/11.46 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0))))))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30504,plain,
% 15.38/11.46 ((v140(constB63) <=> (~(v88(constB63, bitIndex1) | v88(constB63, bitIndex2) | (~v88(constB63, bitIndex0))))) <=> (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30505,plain,
% 15.38/11.46 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex1) | v88(constB63, bitIndex2) | (~v88(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0))))))),
% 15.38/11.46 inference(monotonicity,[status(thm)],[30504])).
% 15.38/11.46 tff(30506,plain,
% 15.38/11.46 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex1) | v88(constB63, bitIndex2) | (~v88(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0))))))),
% 15.38/11.46 inference(transitivity,[status(thm)],[30505, 30503])).
% 15.38/11.46 tff(30507,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex1) | v88(constB63, bitIndex2) | (~v88(constB63, bitIndex0)))))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30508,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))))),
% 15.38/11.46 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 15.38/11.46 tff(30509,plain,
% 15.38/11.46 (v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0))))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30508, 2250])).
% 15.38/11.46 tff(30510,plain,
% 15.38/11.46 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB63, bitIndex2) <=> v90(constB63, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB63, bitIndex2) <=> v90(constB63, bitIndex2)))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30511,plain,
% 15.38/11.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB63, bitIndex2) <=> v90(constB63, bitIndex2)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30512,plain,
% 15.38/11.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB63, bitIndex2) <=> v90(constB63, bitIndex2))),
% 15.38/11.46 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 15.38/11.46 tff(30513,plain,
% 15.38/11.46 (v88(constB63, bitIndex2) <=> v90(constB63, bitIndex2)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30512, 579, 576])).
% 15.38/11.46 tff(30514,plain,
% 15.38/11.46 ((~(v88(constB63, bitIndex2) <=> v90(constB63, bitIndex2))) | (~v88(constB63, bitIndex2)) | v90(constB63, bitIndex2)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30515,plain,
% 15.38/11.46 (~v88(constB63, bitIndex2)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30514, 11933, 30513])).
% 15.38/11.46 tff(30516,plain,
% 15.38/11.46 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB63, bitIndex0) <=> v90(constB63, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB63, bitIndex0) <=> v90(constB63, bitIndex0)))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30517,plain,
% 15.38/11.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB63, bitIndex0) <=> v90(constB63, bitIndex0)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30518,plain,
% 15.38/11.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB63, bitIndex0) <=> v90(constB63, bitIndex0))),
% 15.38/11.46 inference(modus_ponens,[status(thm)],[30517, 30516])).
% 15.38/11.46 tff(30519,plain,
% 15.38/11.46 (v88(constB63, bitIndex0) <=> v90(constB63, bitIndex0)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30518, 1275, 576])).
% 15.38/11.46 tff(30520,plain,
% 15.38/11.46 ((~(v88(constB63, bitIndex0) <=> v90(constB63, bitIndex0))) | v88(constB63, bitIndex0) | (~v90(constB63, bitIndex0))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30521,plain,
% 15.38/11.46 (v88(constB63, bitIndex0)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30520, 11964, 30519])).
% 15.38/11.46 tff(30522,plain,
% 15.38/11.46 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB63, bitIndex1) <=> v90(constB63, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB63, bitIndex1) <=> v90(constB63, bitIndex1)))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30523,plain,
% 15.38/11.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB63, bitIndex1) <=> v90(constB63, bitIndex1)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30524,plain,
% 15.38/11.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB63, bitIndex1) <=> v90(constB63, bitIndex1))),
% 15.38/11.46 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 15.38/11.46 tff(30525,plain,
% 15.38/11.46 (v88(constB63, bitIndex1) <=> v90(constB63, bitIndex1)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30524, 1288, 576])).
% 15.38/11.46 tff(30526,plain,
% 15.38/11.46 ((~(v88(constB63, bitIndex1) <=> v90(constB63, bitIndex1))) | (~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1)),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30527,plain,
% 15.38/11.46 (~v88(constB63, bitIndex1)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30526, 11995, 30525])).
% 15.38/11.46 tff(30528,plain,
% 15.38/11.46 ((~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30529,plain,
% 15.38/11.46 (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30528, 30527, 30521, 30515])).
% 15.38/11.46 tff(30530,plain,
% 15.38/11.46 ((~(v140(constB63) <=> (~(v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))))) | v140(constB63) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30531,plain,
% 15.38/11.46 (v140(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30530, 30529, 30509])).
% 15.38/11.46 tff(30532,plain,
% 15.38/11.46 ((v139(constB63) | v140(constB63)) | (~v140(constB63))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30533,plain,
% 15.38/11.46 (v139(constB63) | v140(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30532, 30531])).
% 15.38/11.46 tff(30534,plain,
% 15.38/11.46 ((~(v170(constB63) <=> (v139(constB63) | v140(constB63)))) | v170(constB63) | (~(v139(constB63) | v140(constB63)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30535,plain,
% 15.38/11.46 (v170(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30534, 30533, 30502])).
% 15.38/11.46 tff(30536,plain,
% 15.38/11.46 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB63)) | (~v169(constB63)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB63)) | (~v169(constB63)))),
% 15.38/11.46 inference(rewrite,[status(thm)],[])).
% 15.38/11.46 tff(30537,plain,
% 15.38/11.46 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB63)) | (~v169(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30538,plain,
% 15.38/11.46 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB63)) | (~v169(constB63))),
% 15.38/11.46 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 15.38/11.46 tff(30539,plain,
% 15.38/11.46 ((~v170(constB63)) | (~v169(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30538, 18673])).
% 15.38/11.46 tff(30540,plain,
% 15.38/11.46 (~v169(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30539, 30535])).
% 15.38/11.46 tff(30541,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB63) <=> (v145(constB63) | v166(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30542,plain,
% 15.38/11.46 (v165(constB63) <=> (v145(constB63) | v166(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30541, 2293])).
% 15.38/11.46 tff(30543,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB63) <=> (v142(constB63) | v167(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30544,plain,
% 15.38/11.46 (v166(constB63) <=> (v142(constB63) | v167(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30543, 2804])).
% 15.38/11.46 tff(30545,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB63) <=> (v141(constB63) | v168(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30546,plain,
% 15.38/11.46 (v167(constB63) <=> (v141(constB63) | v168(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30545, 18692])).
% 15.38/11.46 tff(30547,plain,
% 15.38/11.46 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB63) <=> (v139(constB63) | v140(constB63)))),
% 15.38/11.46 inference(quant_inst,[status(thm)],[])).
% 15.38/11.46 tff(30548,plain,
% 15.38/11.46 (v168(constB63) <=> (v139(constB63) | v140(constB63))),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30547, 18701])).
% 15.38/11.46 tff(30549,plain,
% 15.38/11.46 ((~(v168(constB63) <=> (v139(constB63) | v140(constB63)))) | v168(constB63) | (~(v139(constB63) | v140(constB63)))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30550,plain,
% 15.38/11.46 (v168(constB63)),
% 15.38/11.46 inference(unit_resolution,[status(thm)],[30549, 30533, 30548])).
% 15.38/11.46 tff(30551,plain,
% 15.38/11.46 ((v141(constB63) | v168(constB63)) | (~v168(constB63))),
% 15.38/11.46 inference(tautology,[status(thm)],[])).
% 15.38/11.46 tff(30552,plain,
% 15.38/11.47 (v141(constB63) | v168(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30551, 30550])).
% 15.38/11.47 tff(30553,plain,
% 15.38/11.47 ((~(v167(constB63) <=> (v141(constB63) | v168(constB63)))) | v167(constB63) | (~(v141(constB63) | v168(constB63)))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30554,plain,
% 15.38/11.47 (v167(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30553, 30552, 30546])).
% 15.38/11.47 tff(30555,plain,
% 15.38/11.47 ((v142(constB63) | v167(constB63)) | (~v167(constB63))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30556,plain,
% 15.38/11.47 (v142(constB63) | v167(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30555, 30554])).
% 15.38/11.47 tff(30557,plain,
% 15.38/11.47 ((~(v166(constB63) <=> (v142(constB63) | v167(constB63)))) | v166(constB63) | (~(v142(constB63) | v167(constB63)))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30558,plain,
% 15.38/11.47 (v166(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30557, 30556, 30544])).
% 15.38/11.47 tff(30559,plain,
% 15.38/11.47 ((v145(constB63) | v166(constB63)) | (~v166(constB63))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30560,plain,
% 15.38/11.47 (v145(constB63) | v166(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30559, 30558])).
% 15.38/11.47 tff(30561,plain,
% 15.38/11.47 ((~(v165(constB63) <=> (v145(constB63) | v166(constB63)))) | v165(constB63) | (~(v145(constB63) | v166(constB63)))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30562,plain,
% 15.38/11.47 (v165(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30561, 30560, 30542])).
% 15.38/11.47 tff(30563,plain,
% 15.38/11.47 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB63)) | (v162(constB63) <=> v169(constB63)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB63)) | (v162(constB63) <=> v169(constB63)))),
% 15.38/11.47 inference(rewrite,[status(thm)],[])).
% 15.38/11.47 tff(30564,plain,
% 15.38/11.47 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB63)) | (v162(constB63) <=> v169(constB63)))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30565,plain,
% 15.38/11.47 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB63)) | (v162(constB63) <=> v169(constB63))),
% 15.38/11.47 inference(modus_ponens,[status(thm)],[30564, 30563])).
% 15.38/11.47 tff(30566,plain,
% 15.38/11.47 ((~v165(constB63)) | (v162(constB63) <=> v169(constB63))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30565, 2426])).
% 15.38/11.47 tff(30567,plain,
% 15.38/11.47 (v162(constB63) <=> v169(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30566, 30562])).
% 15.38/11.47 tff(30568,plain,
% 15.38/11.47 ((~(v162(constB63) <=> v169(constB63))) | (~v162(constB63)) | v169(constB63)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30569,plain,
% 15.38/11.47 (~v162(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30568, 30567, 30540])).
% 15.38/11.47 tff(30570,plain,
% 15.38/11.47 ((~(v160(constB63) <=> v162(constB63))) | (~v160(constB63)) | v162(constB63)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30571,plain,
% 15.38/11.47 ((~(v160(constB63) <=> v162(constB63))) | (~v160(constB63))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30570, 30569])).
% 15.38/11.47 tff(30572,plain,
% 15.38/11.47 (~v160(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30571, 30500])).
% 15.38/11.47 tff(30573,plain,
% 15.38/11.47 (((~v184(constB63)) | (~v160(constB63))) | v160(constB63)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30574,plain,
% 15.38/11.47 ((~v184(constB63)) | (~v160(constB63))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30573, 30572])).
% 15.38/11.47 tff(30575,plain,
% 15.38/11.47 ((~(v187(constB63) <=> (~((~v184(constB63)) | (~v160(constB63)))))) | (~v187(constB63)) | (~((~v184(constB63)) | (~v160(constB63))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30576,plain,
% 15.38/11.47 (~v187(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30575, 30574, 30498])).
% 15.38/11.47 tff(30577,plain,
% 15.38/11.47 (((~v186(constB63)) | (~v187(constB63))) | v187(constB63)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30578,plain,
% 15.38/11.47 ((~v186(constB63)) | (~v187(constB63))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30577, 30576])).
% 15.38/11.47 tff(30579,plain,
% 15.38/11.47 ((~(v185(constB63) <=> (~((~v186(constB63)) | (~v187(constB63)))))) | (~v185(constB63)) | (~((~v186(constB63)) | (~v187(constB63))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30580,plain,
% 15.38/11.47 (~v185(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30579, 30578, 30496])).
% 15.38/11.47 tff(30581,plain,
% 15.38/11.47 ((~(v181(constB63) | v185(constB63))) | v181(constB63) | v185(constB63)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30582,plain,
% 15.38/11.47 (~(v181(constB63) | v185(constB63))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30581, 30580, 30494])).
% 15.38/11.47 tff(30583,plain,
% 15.38/11.47 ((~(v178(constB63) <=> (v181(constB63) | v185(constB63)))) | (~v178(constB63)) | (v181(constB63) | v185(constB63))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30584,plain,
% 15.38/11.47 (~v178(constB63)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30583, 30582, 30421])).
% 15.38/11.47 tff(30585,plain,
% 15.38/11.47 ((~(v180(constB64) <=> v178(constB63))) | (~v180(constB64)) | v178(constB63)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30586,plain,
% 15.38/11.47 (~v180(constB64)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30585, 30584, 30419])).
% 15.38/11.47 tff(30587,plain,
% 15.38/11.47 ((~(v158(constB64) <=> v180(constB64))) | (~v158(constB64)) | v180(constB64)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30588,plain,
% 15.38/11.47 (~v158(constB64)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30587, 30586, 30415])).
% 15.38/11.47 tff(30589,plain,
% 15.38/11.47 (((~v158(constB64)) | (~v182(constB64))) | v158(constB64)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30590,plain,
% 15.38/11.47 ((~v158(constB64)) | (~v182(constB64))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30589, 30588])).
% 15.38/11.47 tff(30591,plain,
% 15.38/11.47 ((~(v181(constB64) <=> (~((~v158(constB64)) | (~v182(constB64)))))) | (~v181(constB64)) | (~((~v158(constB64)) | (~v182(constB64))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30592,plain,
% 15.38/11.47 (~v181(constB64)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30591, 30590, 30413])).
% 15.38/11.47 tff(30593,plain,
% 15.38/11.47 ((~(v181(constB64) | v185(constB64))) | v181(constB64) | v185(constB64)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30594,plain,
% 15.38/11.47 (~(v181(constB64) | v185(constB64))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30593, 30592, 30406])).
% 15.38/11.47 tff(30595,plain,
% 15.38/11.47 ((~(v178(constB64) <=> (v181(constB64) | v185(constB64)))) | (~v178(constB64)) | (v181(constB64) | v185(constB64))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30596,plain,
% 15.38/11.47 (~v178(constB64)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30595, 30594, 30381])).
% 15.38/11.47 tff(30597,plain,
% 15.38/11.47 ((~(v180(constB65) <=> v178(constB64))) | (~v180(constB65)) | v178(constB64)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30598,plain,
% 15.38/11.47 (~v180(constB65)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30597, 30596, 30379])).
% 15.38/11.47 tff(30599,plain,
% 15.38/11.47 ((~(v158(constB65) <=> v180(constB65))) | (~v158(constB65)) | v180(constB65)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30600,plain,
% 15.38/11.47 (~v158(constB65)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30599, 30598, 30375])).
% 15.38/11.47 tff(30601,plain,
% 15.38/11.47 (((~v158(constB65)) | (~v199(constB65))) | v158(constB65)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30602,plain,
% 15.38/11.47 ((~v158(constB65)) | (~v199(constB65))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30601, 30600])).
% 15.38/11.47 tff(30603,plain,
% 15.38/11.47 ((~(v198(constB65) <=> (~((~v158(constB65)) | (~v199(constB65)))))) | (~v198(constB65)) | (~((~v158(constB65)) | (~v199(constB65))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30604,plain,
% 15.38/11.47 (~v198(constB65)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30603, 30602, 30373])).
% 15.38/11.47 tff(30605,plain,
% 15.38/11.47 ((~(v197(constB65) | v198(constB65))) | v197(constB65) | v198(constB65)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30606,plain,
% 15.38/11.47 (~(v197(constB65) | v198(constB65))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30605, 30604, 30371])).
% 15.38/11.47 tff(30607,plain,
% 15.38/11.47 ((~(v194(constB65) <=> (v197(constB65) | v198(constB65)))) | (~v194(constB65)) | (v197(constB65) | v198(constB65))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30608,plain,
% 15.38/11.47 (~v194(constB65)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30607, 30606, 30303])).
% 15.38/11.47 tff(30609,plain,
% 15.38/11.47 ((~(v196(constB66) <=> v194(constB65))) | (~v196(constB66)) | v194(constB65)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30610,plain,
% 15.38/11.47 (~v196(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30609, 30608, 30301])).
% 15.38/11.47 tff(30611,plain,
% 15.38/11.47 ((~(v191(constB66) <=> v196(constB66))) | (~v191(constB66)) | v196(constB66)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30612,plain,
% 15.38/11.47 (~v191(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30611, 30610, 30297])).
% 15.38/11.47 tff(30613,plain,
% 15.38/11.47 (((~v182(constB66)) | (~v191(constB66))) | v191(constB66)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30614,plain,
% 15.38/11.47 ((~v182(constB66)) | (~v191(constB66))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30613, 30612])).
% 15.38/11.47 tff(30615,plain,
% 15.38/11.47 ((~(v197(constB66) <=> (~((~v182(constB66)) | (~v191(constB66)))))) | (~v197(constB66)) | (~((~v182(constB66)) | (~v191(constB66))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30616,plain,
% 15.38/11.47 (~v197(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30615, 30614, 30295])).
% 15.38/11.47 tff(30617,plain,
% 15.38/11.47 ((~(v197(constB66) | v198(constB66))) | v197(constB66) | v198(constB66)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30618,plain,
% 15.38/11.47 (~(v197(constB66) | v198(constB66))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30617, 30616, 30293])).
% 15.38/11.47 tff(30619,plain,
% 15.38/11.47 ((~(v194(constB66) <=> (v197(constB66) | v198(constB66)))) | (~v194(constB66)) | (v197(constB66) | v198(constB66))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30620,plain,
% 15.38/11.47 (~v194(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30619, 30618, 30262])).
% 15.38/11.47 tff(30621,plain,
% 15.38/11.47 ((~(v196(constB67) <=> v194(constB66))) | (~v196(constB67)) | v194(constB66)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30622,plain,
% 15.38/11.47 (~v196(constB67)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30621, 30620, 30260])).
% 15.38/11.47 tff(30623,plain,
% 15.38/11.47 ((~(v191(constB67) <=> v196(constB67))) | (~v191(constB67)) | v196(constB67)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30624,plain,
% 15.38/11.47 (~v191(constB67)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30623, 30622, 30256])).
% 15.38/11.47 tff(30625,plain,
% 15.38/11.47 (((~v191(constB67)) | (~v206(constB67))) | v191(constB67)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30626,plain,
% 15.38/11.47 ((~v191(constB67)) | (~v206(constB67))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30625, 30624])).
% 15.38/11.47 tff(30627,plain,
% 15.38/11.47 ((~(v209(constB67) <=> (~((~v191(constB67)) | (~v206(constB67)))))) | (~v209(constB67)) | (~((~v191(constB67)) | (~v206(constB67))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30628,plain,
% 15.38/11.47 (~v209(constB67)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30627, 30626, 30254])).
% 15.38/11.47 tff(30629,plain,
% 15.38/11.47 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67))))))),
% 15.38/11.47 inference(rewrite,[status(thm)],[])).
% 15.38/11.47 tff(30630,plain,
% 15.38/11.47 ((v205(constB67) <=> (~((~v206(constB67)) | (~v158(constB67))))) <=> (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67)))))),
% 15.38/11.47 inference(rewrite,[status(thm)],[])).
% 15.38/11.47 tff(30631,plain,
% 15.38/11.47 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v206(constB67)) | (~v158(constB67)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67))))))),
% 15.38/11.47 inference(monotonicity,[status(thm)],[30630])).
% 15.38/11.47 tff(30632,plain,
% 15.38/11.47 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v206(constB67)) | (~v158(constB67)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67))))))),
% 15.38/11.47 inference(transitivity,[status(thm)],[30631, 30629])).
% 15.38/11.47 tff(30633,plain,
% 15.38/11.47 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v206(constB67)) | (~v158(constB67)))))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30634,plain,
% 15.38/11.47 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67)))))),
% 15.38/11.47 inference(modus_ponens,[status(thm)],[30633, 30632])).
% 15.38/11.47 tff(30635,plain,
% 15.38/11.47 (v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67))))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30634, 2502])).
% 15.38/11.47 tff(30636,plain,
% 15.38/11.47 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB67) <=> v180(constB67))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30637,plain,
% 15.38/11.47 (v158(constB67) <=> v180(constB67)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30636, 358])).
% 15.38/11.47 tff(30638,plain,
% 15.38/11.47 (((~![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)))),
% 15.38/11.47 inference(rewrite,[status(thm)],[])).
% 15.38/11.47 tff(30639,plain,
% 15.38/11.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30640,plain,
% 15.38/11.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66))),
% 15.38/11.47 inference(modus_ponens,[status(thm)],[30639, 30638])).
% 15.38/11.47 tff(30641,plain,
% 15.38/11.47 (v180(constB67) <=> v178(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30640, 5397, 370])).
% 15.38/11.47 tff(30642,plain,
% 15.38/11.47 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB66) <=> (v181(constB66) | v185(constB66)))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30643,plain,
% 15.38/11.47 (v178(constB66) <=> (v181(constB66) | v185(constB66))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30642, 384])).
% 15.38/11.47 tff(30644,plain,
% 15.38/11.47 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66)))))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30645,plain,
% 15.38/11.47 (v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66))))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30644, 396])).
% 15.38/11.47 tff(30646,plain,
% 15.38/11.47 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB66) <=> (~((~v184(constB66)) | (~v160(constB66)))))),
% 15.38/11.47 inference(quant_inst,[status(thm)],[])).
% 15.38/11.47 tff(30647,plain,
% 15.38/11.47 (v187(constB66) <=> (~((~v184(constB66)) | (~v160(constB66))))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30646, 408])).
% 15.38/11.47 tff(30648,plain,
% 15.38/11.47 (((~v184(constB66)) | (~v160(constB66))) | v184(constB66)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30649,plain,
% 15.38/11.47 ((~v184(constB66)) | (~v160(constB66))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30648, 30280])).
% 15.38/11.47 tff(30650,plain,
% 15.38/11.47 ((~(v187(constB66) <=> (~((~v184(constB66)) | (~v160(constB66)))))) | (~v187(constB66)) | (~((~v184(constB66)) | (~v160(constB66))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30651,plain,
% 15.38/11.47 ((~(v187(constB66) <=> (~((~v184(constB66)) | (~v160(constB66)))))) | (~v187(constB66))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30650, 30649])).
% 15.38/11.47 tff(30652,plain,
% 15.38/11.47 (~v187(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30651, 30647])).
% 15.38/11.47 tff(30653,plain,
% 15.38/11.47 (((~v186(constB66)) | (~v187(constB66))) | v187(constB66)),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30654,plain,
% 15.38/11.47 ((~v186(constB66)) | (~v187(constB66))),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30653, 30652])).
% 15.38/11.47 tff(30655,plain,
% 15.38/11.47 ((~(v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66)))))) | (~v185(constB66)) | (~((~v186(constB66)) | (~v187(constB66))))),
% 15.38/11.47 inference(tautology,[status(thm)],[])).
% 15.38/11.47 tff(30656,plain,
% 15.38/11.47 (~v185(constB66)),
% 15.38/11.47 inference(unit_resolution,[status(thm)],[30655, 30654, 30645])).
% 15.38/11.47 tff(30657,plain,
% 15.38/11.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66))))))),
% 15.42/11.47 inference(rewrite,[status(thm)],[])).
% 15.42/11.47 tff(30658,plain,
% 15.42/11.47 ((v181(constB66) <=> (~((~v182(constB66)) | (~v158(constB66))))) <=> (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66)))))),
% 15.42/11.47 inference(rewrite,[status(thm)],[])).
% 15.42/11.47 tff(30659,plain,
% 15.42/11.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v158(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66))))))),
% 15.42/11.47 inference(monotonicity,[status(thm)],[30658])).
% 15.42/11.47 tff(30660,plain,
% 15.42/11.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v158(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66))))))),
% 15.42/11.47 inference(transitivity,[status(thm)],[30659, 30657])).
% 15.42/11.47 tff(30661,plain,
% 15.42/11.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v158(constB66)))))),
% 15.42/11.47 inference(quant_inst,[status(thm)],[])).
% 15.42/11.47 tff(30662,plain,
% 15.42/11.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66)))))),
% 15.42/11.47 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 15.42/11.47 tff(30663,plain,
% 15.42/11.47 (v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66))))),
% 15.42/11.47 inference(unit_resolution,[status(thm)],[30662, 444])).
% 15.42/11.47 tff(30664,plain,
% 15.42/11.47 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB66) <=> v180(constB66))),
% 15.42/11.47 inference(quant_inst,[status(thm)],[])).
% 15.42/11.47 tff(30665,plain,
% 15.42/11.47 (v158(constB66) <=> v180(constB66)),
% 15.42/11.47 inference(unit_resolution,[status(thm)],[30664, 358])).
% 15.42/11.47 tff(30666,plain,
% 15.42/11.47 (((~![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)))),
% 15.42/11.47 inference(rewrite,[status(thm)],[])).
% 15.42/11.47 tff(30667,plain,
% 15.42/11.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))),
% 15.42/11.47 inference(quant_inst,[status(thm)],[])).
% 15.42/11.47 tff(30668,plain,
% 15.42/11.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65))),
% 15.42/11.47 inference(modus_ponens,[status(thm)],[30667, 30666])).
% 15.42/11.47 tff(30669,plain,
% 15.42/11.47 (v180(constB66) <=> v178(constB65)),
% 15.42/11.47 inference(unit_resolution,[status(thm)],[30668, 5429, 370])).
% 15.42/11.47 tff(30670,plain,
% 15.42/11.47 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB65) <=> (v181(constB65) | v185(constB65)))),
% 15.42/11.47 inference(quant_inst,[status(thm)],[])).
% 15.42/11.47 tff(30671,plain,
% 15.42/11.47 (v178(constB65) <=> (v181(constB65) | v185(constB65))),
% 15.42/11.47 inference(unit_resolution,[status(thm)],[30670, 384])).
% 15.42/11.47 tff(30672,plain,
% 15.42/11.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65))))))),
% 15.42/11.47 inference(rewrite,[status(thm)],[])).
% 15.42/11.47 tff(30673,plain,
% 15.42/11.47 ((v181(constB65) <=> (~((~v182(constB65)) | (~v158(constB65))))) <=> (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65)))))),
% 15.42/11.47 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30674,plain,
% 15.42/11.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v158(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65))))))),
% 15.42/11.48 inference(monotonicity,[status(thm)],[30673])).
% 15.42/11.48 tff(30675,plain,
% 15.42/11.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v158(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65))))))),
% 15.42/11.48 inference(transitivity,[status(thm)],[30674, 30672])).
% 15.42/11.48 tff(30676,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v158(constB65)))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30677,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65)))))),
% 15.42/11.48 inference(modus_ponens,[status(thm)],[30676, 30675])).
% 15.42/11.48 tff(30678,plain,
% 15.42/11.48 (v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65))))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30677, 444])).
% 15.42/11.48 tff(30679,plain,
% 15.42/11.48 (((~v158(constB65)) | (~v182(constB65))) | v182(constB65)),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30680,plain,
% 15.42/11.48 ((~v158(constB65)) | (~v182(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30679, 30367])).
% 15.42/11.48 tff(30681,plain,
% 15.42/11.48 ((~(v181(constB65) <=> (~((~v158(constB65)) | (~v182(constB65)))))) | (~v181(constB65)) | (~((~v158(constB65)) | (~v182(constB65))))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30682,plain,
% 15.42/11.48 (~v181(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30681, 30680, 30678])).
% 15.42/11.48 tff(30683,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65)))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30684,plain,
% 15.42/11.48 (v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65))))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30683, 396])).
% 15.42/11.48 tff(30685,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB65) <=> (~((~v184(constB65)) | (~v160(constB65)))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30686,plain,
% 15.42/11.48 (v187(constB65) <=> (~((~v184(constB65)) | (~v160(constB65))))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30685, 408])).
% 15.42/11.48 tff(30687,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB65) <=> v162(constB65))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30688,plain,
% 15.42/11.48 (v160(constB65) <=> v162(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30687, 549])).
% 15.42/11.48 tff(30689,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex0)))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30690,plain,
% 15.42/11.48 (v141(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex0))))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30689, 564])).
% 15.42/11.48 tff(30691,plain,
% 15.42/11.48 (((~![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)))),
% 15.42/11.48 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30692,plain,
% 15.42/11.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30693,plain,
% 15.42/11.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0))),
% 15.42/11.48 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 15.42/11.48 tff(30694,plain,
% 15.42/11.48 (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30693, 1275, 576])).
% 15.42/11.48 tff(30695,plain,
% 15.42/11.48 ((~(v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30696,plain,
% 15.42/11.48 (~v88(constB65, bitIndex0)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30695, 12126, 30694])).
% 15.42/11.48 tff(30697,plain,
% 15.42/11.48 ((v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex0))) | v88(constB65, bitIndex0)),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30698,plain,
% 15.42/11.48 (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex0))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30697, 30696])).
% 15.42/11.48 tff(30699,plain,
% 15.42/11.48 ((~(v141(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex0)))))) | (~v141(constB65)) | (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex0))))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30700,plain,
% 15.42/11.48 (~v141(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30699, 30698, 30690])).
% 15.42/11.48 tff(30701,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB65) <=> (v139(constB65) | v140(constB65)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30702,plain,
% 15.42/11.48 (v170(constB65) <=> (v139(constB65) | v140(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30701, 2216])).
% 15.42/11.48 tff(30703,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30704,plain,
% 15.42/11.48 (v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30703, 2231])).
% 15.42/11.48 tff(30705,plain,
% 15.42/11.48 (((~![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)))),
% 15.42/11.48 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30706,plain,
% 15.42/11.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30707,plain,
% 15.42/11.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1))),
% 15.42/11.48 inference(modus_ponens,[status(thm)],[30706, 30705])).
% 15.42/11.48 tff(30708,plain,
% 15.42/11.48 (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30707, 1288, 576])).
% 15.42/11.48 tff(30709,plain,
% 15.42/11.48 ((~(v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1))) | v88(constB65, bitIndex1) | (~v90(constB65, bitIndex1))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30710,plain,
% 15.42/11.48 (v88(constB65, bitIndex1)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30709, 12157, 30708])).
% 15.42/11.48 tff(30711,plain,
% 15.42/11.48 ((v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30712,plain,
% 15.42/11.48 (v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30711, 30710])).
% 15.42/11.48 tff(30713,plain,
% 15.42/11.48 ((~(v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2))))) | (~v139(constB65)) | (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30714,plain,
% 15.42/11.48 (~v139(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30713, 30712, 30704])).
% 15.42/11.48 tff(30715,plain,
% 15.42/11.48 (((~![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))))))),
% 15.42/11.48 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30716,plain,
% 15.42/11.48 ((v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0))))) <=> (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))),
% 15.42/11.48 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30717,plain,
% 15.42/11.48 (((~![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))))))),
% 15.42/11.48 inference(monotonicity,[status(thm)],[30716])).
% 15.42/11.48 tff(30718,plain,
% 15.42/11.48 (((~![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))))))),
% 15.42/11.48 inference(transitivity,[status(thm)],[30717, 30715])).
% 15.42/11.48 tff(30719,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0)))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30720,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))),
% 15.42/11.48 inference(modus_ponens,[status(thm)],[30719, 30718])).
% 15.42/11.48 tff(30721,plain,
% 15.42/11.48 (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30720, 2250])).
% 15.42/11.48 tff(30722,plain,
% 15.42/11.48 ((v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))) | (~v88(constB65, bitIndex1))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30723,plain,
% 15.42/11.48 (v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30722, 30710])).
% 15.42/11.48 tff(30724,plain,
% 15.42/11.48 ((~(v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))) | (~v140(constB65)) | (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30725,plain,
% 15.42/11.48 (~v140(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30724, 30723, 30721])).
% 15.42/11.48 tff(30726,plain,
% 15.42/11.48 ((~(v139(constB65) | v140(constB65))) | v139(constB65) | v140(constB65)),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30727,plain,
% 15.42/11.48 (~(v139(constB65) | v140(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30726, 30725, 30714])).
% 15.42/11.48 tff(30728,plain,
% 15.42/11.48 ((~(v170(constB65) <=> (v139(constB65) | v140(constB65)))) | (~v170(constB65)) | (v139(constB65) | v140(constB65))),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30729,plain,
% 15.42/11.48 (~v170(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30728, 30727, 30702])).
% 15.42/11.48 tff(30730,plain,
% 15.42/11.48 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB65) | v170(constB65) | (~v169(constB65)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB65) | v170(constB65) | (~v169(constB65)))),
% 15.42/11.48 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30731,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB65) | v170(constB65) | (~v169(constB65)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30732,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB65) | v170(constB65) | (~v169(constB65))),
% 15.42/11.48 inference(modus_ponens,[status(thm)],[30731, 30730])).
% 15.42/11.48 tff(30733,plain,
% 15.42/11.48 (v141(constB65) | v170(constB65) | (~v169(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30732, 2278])).
% 15.42/11.48 tff(30734,plain,
% 15.42/11.48 (~v169(constB65)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30733, 30729, 30700])).
% 15.42/11.48 tff(30735,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB65) <=> (v145(constB65) | v166(constB65)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30736,plain,
% 15.42/11.48 (v165(constB65) <=> (v145(constB65) | v166(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30735, 2293])).
% 15.42/11.48 tff(30737,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB65) <=> (v142(constB65) | v167(constB65)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30738,plain,
% 15.42/11.48 (v166(constB65) <=> (v142(constB65) | v167(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30737, 2804])).
% 15.42/11.48 tff(30739,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB65) <=> (v143(constB65) | v144(constB65)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30740,plain,
% 15.42/11.48 (v142(constB65) <=> (v143(constB65) | v144(constB65))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30739, 2813])).
% 15.42/11.48 tff(30741,plain,
% 15.42/11.48 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30742,plain,
% 15.42/11.48 (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1))))),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30741, 16089])).
% 15.42/11.48 tff(30743,plain,
% 15.42/11.48 (((~![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)))),
% 15.42/11.48 inference(rewrite,[status(thm)],[])).
% 15.42/11.48 tff(30744,plain,
% 15.42/11.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))),
% 15.42/11.48 inference(quant_inst,[status(thm)],[])).
% 15.42/11.48 tff(30745,plain,
% 15.42/11.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2))),
% 15.42/11.48 inference(modus_ponens,[status(thm)],[30744, 30743])).
% 15.42/11.48 tff(30746,plain,
% 15.42/11.48 (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30745, 579, 576])).
% 15.42/11.48 tff(30747,plain,
% 15.42/11.48 ((~(v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2))) | (~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2)),
% 15.42/11.48 inference(tautology,[status(thm)],[])).
% 15.42/11.48 tff(30748,plain,
% 15.42/11.48 (~v88(constB65, bitIndex2)),
% 15.42/11.48 inference(unit_resolution,[status(thm)],[30747, 12095, 30746])).
% 15.42/11.48 tff(30749,plain,
% 15.42/11.48 ((~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30750,plain,
% 15.42/11.49 (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30749, 30710, 30696, 30748])).
% 15.42/11.49 tff(30751,plain,
% 15.42/11.49 ((~(v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))) | v143(constB65) | (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30752,plain,
% 15.42/11.49 (v143(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30751, 30750, 30742])).
% 15.42/11.49 tff(30753,plain,
% 15.42/11.49 ((v143(constB65) | v144(constB65)) | (~v143(constB65))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30754,plain,
% 15.42/11.49 (v143(constB65) | v144(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30753, 30752])).
% 15.42/11.49 tff(30755,plain,
% 15.42/11.49 ((~(v142(constB65) <=> (v143(constB65) | v144(constB65)))) | v142(constB65) | (~(v143(constB65) | v144(constB65)))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30756,plain,
% 15.42/11.49 (v142(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30755, 30754, 30740])).
% 15.42/11.49 tff(30757,plain,
% 15.42/11.49 ((v142(constB65) | v167(constB65)) | (~v142(constB65))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30758,plain,
% 15.42/11.49 (v142(constB65) | v167(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30757, 30756])).
% 15.42/11.49 tff(30759,plain,
% 15.42/11.49 ((~(v166(constB65) <=> (v142(constB65) | v167(constB65)))) | v166(constB65) | (~(v142(constB65) | v167(constB65)))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30760,plain,
% 15.42/11.49 (v166(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30759, 30758, 30738])).
% 15.42/11.49 tff(30761,plain,
% 15.42/11.49 ((v145(constB65) | v166(constB65)) | (~v166(constB65))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30762,plain,
% 15.42/11.49 (v145(constB65) | v166(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30761, 30760])).
% 15.42/11.49 tff(30763,plain,
% 15.42/11.49 ((~(v165(constB65) <=> (v145(constB65) | v166(constB65)))) | v165(constB65) | (~(v145(constB65) | v166(constB65)))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30764,plain,
% 15.42/11.49 (v165(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30763, 30762, 30736])).
% 15.42/11.49 tff(30765,plain,
% 15.42/11.49 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB65)) | (v162(constB65) <=> v169(constB65)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB65)) | (v162(constB65) <=> v169(constB65)))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30766,plain,
% 15.42/11.49 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB65)) | (v162(constB65) <=> v169(constB65)))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30767,plain,
% 15.42/11.49 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB65)) | (v162(constB65) <=> v169(constB65))),
% 15.42/11.49 inference(modus_ponens,[status(thm)],[30766, 30765])).
% 15.42/11.49 tff(30768,plain,
% 15.42/11.49 ((~v165(constB65)) | (v162(constB65) <=> v169(constB65))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30767, 2426])).
% 15.42/11.49 tff(30769,plain,
% 15.42/11.49 (v162(constB65) <=> v169(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30768, 30764])).
% 15.42/11.49 tff(30770,plain,
% 15.42/11.49 ((~(v162(constB65) <=> v169(constB65))) | (~v162(constB65)) | v169(constB65)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30771,plain,
% 15.42/11.49 (~v162(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30770, 30769, 30734])).
% 15.42/11.49 tff(30772,plain,
% 15.42/11.49 ((~(v160(constB65) <=> v162(constB65))) | (~v160(constB65)) | v162(constB65)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30773,plain,
% 15.42/11.49 ((~(v160(constB65) <=> v162(constB65))) | (~v160(constB65))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30772, 30771])).
% 15.42/11.49 tff(30774,plain,
% 15.42/11.49 (~v160(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30773, 30688])).
% 15.42/11.49 tff(30775,plain,
% 15.42/11.49 (((~v184(constB65)) | (~v160(constB65))) | v160(constB65)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30776,plain,
% 15.42/11.49 ((~v184(constB65)) | (~v160(constB65))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30775, 30774])).
% 15.42/11.49 tff(30777,plain,
% 15.42/11.49 ((~(v187(constB65) <=> (~((~v184(constB65)) | (~v160(constB65)))))) | (~v187(constB65)) | (~((~v184(constB65)) | (~v160(constB65))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30778,plain,
% 15.42/11.49 (~v187(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30777, 30776, 30686])).
% 15.42/11.49 tff(30779,plain,
% 15.42/11.49 (((~v186(constB65)) | (~v187(constB65))) | v187(constB65)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30780,plain,
% 15.42/11.49 ((~v186(constB65)) | (~v187(constB65))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30779, 30778])).
% 15.42/11.49 tff(30781,plain,
% 15.42/11.49 ((~(v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65)))))) | (~v185(constB65)) | (~((~v186(constB65)) | (~v187(constB65))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30782,plain,
% 15.42/11.49 (~v185(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30781, 30780, 30684])).
% 15.42/11.49 tff(30783,plain,
% 15.42/11.49 ((~(v181(constB65) | v185(constB65))) | v181(constB65) | v185(constB65)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30784,plain,
% 15.42/11.49 (~(v181(constB65) | v185(constB65))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30783, 30782, 30682])).
% 15.42/11.49 tff(30785,plain,
% 15.42/11.49 ((~(v178(constB65) <=> (v181(constB65) | v185(constB65)))) | (~v178(constB65)) | (v181(constB65) | v185(constB65))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30786,plain,
% 15.42/11.49 (~v178(constB65)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30785, 30784, 30671])).
% 15.42/11.49 tff(30787,plain,
% 15.42/11.49 ((~(v180(constB66) <=> v178(constB65))) | (~v180(constB66)) | v178(constB65)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30788,plain,
% 15.42/11.49 (~v180(constB66)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30787, 30786, 30669])).
% 15.42/11.49 tff(30789,plain,
% 15.42/11.49 ((~(v158(constB66) <=> v180(constB66))) | (~v158(constB66)) | v180(constB66)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30790,plain,
% 15.42/11.49 (~v158(constB66)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30789, 30788, 30665])).
% 15.42/11.49 tff(30791,plain,
% 15.42/11.49 (((~v158(constB66)) | (~v182(constB66))) | v158(constB66)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30792,plain,
% 15.42/11.49 ((~v158(constB66)) | (~v182(constB66))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30791, 30790])).
% 15.42/11.49 tff(30793,plain,
% 15.42/11.49 ((~(v181(constB66) <=> (~((~v158(constB66)) | (~v182(constB66)))))) | (~v181(constB66)) | (~((~v158(constB66)) | (~v182(constB66))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30794,plain,
% 15.42/11.49 (~v181(constB66)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30793, 30792, 30663])).
% 15.42/11.49 tff(30795,plain,
% 15.42/11.49 ((~(v181(constB66) | v185(constB66))) | v181(constB66) | v185(constB66)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30796,plain,
% 15.42/11.49 (~(v181(constB66) | v185(constB66))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30795, 30794, 30656])).
% 15.42/11.49 tff(30797,plain,
% 15.42/11.49 ((~(v178(constB66) <=> (v181(constB66) | v185(constB66)))) | (~v178(constB66)) | (v181(constB66) | v185(constB66))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30798,plain,
% 15.42/11.49 (~v178(constB66)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30797, 30796, 30643])).
% 15.42/11.49 tff(30799,plain,
% 15.42/11.49 ((~(v180(constB67) <=> v178(constB66))) | (~v180(constB67)) | v178(constB66)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30800,plain,
% 15.42/11.49 (~v180(constB67)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30799, 30798, 30641])).
% 15.42/11.49 tff(30801,plain,
% 15.42/11.49 ((~(v158(constB67) <=> v180(constB67))) | (~v158(constB67)) | v180(constB67)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30802,plain,
% 15.42/11.49 (~v158(constB67)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30801, 30800, 30637])).
% 15.42/11.49 tff(30803,plain,
% 15.42/11.49 (((~v158(constB67)) | (~v206(constB67))) | v158(constB67)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30804,plain,
% 15.42/11.49 ((~v158(constB67)) | (~v206(constB67))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30803, 30802])).
% 15.42/11.49 tff(30805,plain,
% 15.42/11.49 ((~(v205(constB67) <=> (~((~v158(constB67)) | (~v206(constB67)))))) | (~v205(constB67)) | (~((~v158(constB67)) | (~v206(constB67))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30806,plain,
% 15.42/11.49 (~v205(constB67)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30805, 30804, 30635])).
% 15.42/11.49 tff(30807,plain,
% 15.42/11.49 ((~(v205(constB67) | v209(constB67))) | v205(constB67) | v209(constB67)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30808,plain,
% 15.42/11.49 (~(v205(constB67) | v209(constB67))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30807, 30806, 30628])).
% 15.42/11.49 tff(30809,plain,
% 15.42/11.49 ((~(v204(constB67) <=> (v205(constB67) | v209(constB67)))) | (~v204(constB67)) | (v205(constB67) | v209(constB67))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30810,plain,
% 15.42/11.49 (~v204(constB67)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30809, 30808, 30247])).
% 15.42/11.49 tff(30811,plain,
% 15.42/11.49 ($false),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30810, 30245])).
% 15.42/11.49 tff(30812,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.42/11.49 tff(30813,assumption,(constB110 = VarCurr!0), introduced(assumption)).
% 15.42/11.49 tff(30814,plain,
% 15.42/11.49 (v204(constB110) <=> v204(VarCurr!0)),
% 15.42/11.49 inference(monotonicity,[status(thm)],[30813])).
% 15.42/11.49 tff(30815,plain,
% 15.42/11.49 (v204(VarCurr!0) <=> v204(constB110)),
% 15.42/11.49 inference(symmetry,[status(thm)],[30814])).
% 15.42/11.49 tff(30816,plain,
% 15.42/11.49 (v204(constB110)),
% 15.42/11.49 inference(modus_ponens,[status(thm)],[27, 30815])).
% 15.42/11.49 tff(30817,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB110) <=> (v205(constB110) | v209(constB110)))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30818,plain,
% 15.42/11.49 (v204(constB110) <=> (v205(constB110) | v209(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30817, 35])).
% 15.42/11.49 tff(30819,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110))))))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30820,plain,
% 15.42/11.49 ((v209(constB110) <=> (~((~v206(constB110)) | (~v191(constB110))))) <=> (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110)))))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30821,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v206(constB110)) | (~v191(constB110)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110))))))),
% 15.42/11.49 inference(monotonicity,[status(thm)],[30820])).
% 15.42/11.49 tff(30822,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v206(constB110)) | (~v191(constB110)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110))))))),
% 15.42/11.49 inference(transitivity,[status(thm)],[30821, 30819])).
% 15.42/11.49 tff(30823,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v206(constB110)) | (~v191(constB110)))))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30824,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110)))))),
% 15.42/11.49 inference(modus_ponens,[status(thm)],[30823, 30822])).
% 15.42/11.49 tff(30825,plain,
% 15.42/11.49 (v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110))))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30824, 47])).
% 15.42/11.49 tff(30826,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB110) <=> (~((~v186(constB110)) | (~v207(constB110)))))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30827,plain,
% 15.42/11.49 (v206(constB110) <=> (~((~v186(constB110)) | (~v207(constB110))))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30826, 16227])).
% 15.42/11.49 tff(30828,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110))))))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30829,plain,
% 15.42/11.49 ((v207(constB110) <=> (~((~v208(constB110)) | (~v184(constB110))))) <=> (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110)))))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30830,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v208(constB110)) | (~v184(constB110)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110))))))),
% 15.42/11.49 inference(monotonicity,[status(thm)],[30829])).
% 15.42/11.49 tff(30831,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v208(constB110)) | (~v184(constB110)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110))))))),
% 15.42/11.49 inference(transitivity,[status(thm)],[30830, 30828])).
% 15.42/11.49 tff(30832,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v208(constB110)) | (~v184(constB110)))))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30833,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110)))))),
% 15.42/11.49 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 15.42/11.49 tff(30834,plain,
% 15.42/11.49 (v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110))))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30833, 16239])).
% 15.42/11.49 tff(30835,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30836,plain,
% 15.42/11.49 (v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110))))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30835, 138])).
% 15.42/11.49 tff(30837,plain,
% 15.42/11.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB110)) <=> v1(constB110))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30838,plain,
% 15.42/11.49 ((~v39(constB110)) <=> v1(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30837, 147])).
% 15.42/11.49 tff(30839,plain,
% 15.42/11.49 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110)) | (~v1(constB110))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30840,plain,
% 15.42/11.49 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30839, 3430])).
% 15.42/11.49 tff(30841,plain,
% 15.42/11.49 (~v39(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30840, 30838])).
% 15.42/11.49 tff(30842,plain,
% 15.42/11.49 (((~v39(constB110)) | (~v9(constB110))) | v39(constB110)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30843,plain,
% 15.42/11.49 ((~v39(constB110)) | (~v9(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30842, 30841])).
% 15.42/11.49 tff(30844,plain,
% 15.42/11.49 ((~(v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v184(constB110)) | (~((~v39(constB110)) | (~v9(constB110))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30845,plain,
% 15.42/11.49 ((~(v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v184(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30844, 30843])).
% 15.42/11.49 tff(30846,plain,
% 15.42/11.49 (~v184(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30845, 30836])).
% 15.42/11.49 tff(30847,plain,
% 15.42/11.49 (((~v184(constB110)) | (~v208(constB110))) | v184(constB110)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30848,plain,
% 15.42/11.49 ((~v184(constB110)) | (~v208(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30847, 30846])).
% 15.42/11.49 tff(30849,plain,
% 15.42/11.49 ((~(v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110)))))) | (~v207(constB110)) | (~((~v184(constB110)) | (~v208(constB110))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30850,plain,
% 15.42/11.49 ((~(v207(constB110) <=> (~((~v184(constB110)) | (~v208(constB110)))))) | (~v207(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30849, 30848])).
% 15.42/11.49 tff(30851,plain,
% 15.42/11.49 (~v207(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30850, 30834])).
% 15.42/11.49 tff(30852,plain,
% 15.42/11.49 (((~v186(constB110)) | (~v207(constB110))) | v207(constB110)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30853,plain,
% 15.42/11.49 ((~v186(constB110)) | (~v207(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30852, 30851])).
% 15.42/11.49 tff(30854,plain,
% 15.42/11.49 ((~(v206(constB110) <=> (~((~v186(constB110)) | (~v207(constB110)))))) | (~v206(constB110)) | (~((~v186(constB110)) | (~v207(constB110))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30855,plain,
% 15.42/11.49 (~v206(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30854, 30853, 30827])).
% 15.42/11.49 tff(30856,plain,
% 15.42/11.49 (((~v191(constB110)) | (~v206(constB110))) | v206(constB110)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30857,plain,
% 15.42/11.49 ((~v191(constB110)) | (~v206(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30856, 30855])).
% 15.42/11.49 tff(30858,plain,
% 15.42/11.49 ((~(v209(constB110) <=> (~((~v191(constB110)) | (~v206(constB110)))))) | (~v209(constB110)) | (~((~v191(constB110)) | (~v206(constB110))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30859,plain,
% 15.42/11.49 (~v209(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30858, 30857, 30825])).
% 15.42/11.49 tff(30860,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110))))))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30861,plain,
% 15.42/11.49 ((v205(constB110) <=> (~((~v206(constB110)) | (~v158(constB110))))) <=> (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110)))))),
% 15.42/11.49 inference(rewrite,[status(thm)],[])).
% 15.42/11.49 tff(30862,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v206(constB110)) | (~v158(constB110)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110))))))),
% 15.42/11.49 inference(monotonicity,[status(thm)],[30861])).
% 15.42/11.49 tff(30863,plain,
% 15.42/11.49 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v206(constB110)) | (~v158(constB110)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110))))))),
% 15.42/11.49 inference(transitivity,[status(thm)],[30862, 30860])).
% 15.42/11.49 tff(30864,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v206(constB110)) | (~v158(constB110)))))),
% 15.42/11.49 inference(quant_inst,[status(thm)],[])).
% 15.42/11.49 tff(30865,plain,
% 15.42/11.49 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110)))))),
% 15.42/11.49 inference(modus_ponens,[status(thm)],[30864, 30863])).
% 15.42/11.49 tff(30866,plain,
% 15.42/11.49 (v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110))))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30865, 2502])).
% 15.42/11.49 tff(30867,plain,
% 15.42/11.49 (((~v158(constB110)) | (~v206(constB110))) | v206(constB110)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30868,plain,
% 15.42/11.49 ((~v158(constB110)) | (~v206(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30867, 30855])).
% 15.42/11.49 tff(30869,plain,
% 15.42/11.49 ((~(v205(constB110) <=> (~((~v158(constB110)) | (~v206(constB110)))))) | (~v205(constB110)) | (~((~v158(constB110)) | (~v206(constB110))))),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30870,plain,
% 15.42/11.49 (~v205(constB110)),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30869, 30868, 30866])).
% 15.42/11.49 tff(30871,plain,
% 15.42/11.49 ((~(v205(constB110) | v209(constB110))) | v205(constB110) | v209(constB110)),
% 15.42/11.49 inference(tautology,[status(thm)],[])).
% 15.42/11.49 tff(30872,plain,
% 15.42/11.49 (~(v205(constB110) | v209(constB110))),
% 15.42/11.49 inference(unit_resolution,[status(thm)],[30871, 30870, 30859])).
% 15.42/11.50 tff(30873,plain,
% 15.42/11.50 ((~(v204(constB110) <=> (v205(constB110) | v209(constB110)))) | (~v204(constB110)) | (v205(constB110) | v209(constB110))),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30874,plain,
% 15.42/11.50 ((~(v204(constB110) <=> (v205(constB110) | v209(constB110)))) | (~v204(constB110))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30873, 30872])).
% 15.42/11.50 tff(30875,plain,
% 15.42/11.50 (~v204(constB110)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30874, 30818])).
% 15.42/11.50 tff(30876,plain,
% 15.42/11.50 ($false),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30875, 30816])).
% 15.42/11.50 tff(30877,plain,(~(constB110 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.42/11.50 tff(30878,assumption,(constB86 = VarCurr!0), introduced(assumption)).
% 15.42/11.50 tff(30879,plain,
% 15.42/11.50 (v204(constB86) <=> v204(VarCurr!0)),
% 15.42/11.50 inference(monotonicity,[status(thm)],[30878])).
% 15.42/11.50 tff(30880,plain,
% 15.42/11.50 (v204(VarCurr!0) <=> v204(constB86)),
% 15.42/11.50 inference(symmetry,[status(thm)],[30879])).
% 15.42/11.50 tff(30881,plain,
% 15.42/11.50 (v204(constB86)),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[27, 30880])).
% 15.42/11.50 tff(30882,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB86) <=> (v205(constB86) | v209(constB86)))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30883,plain,
% 15.42/11.50 (v204(constB86) <=> (v205(constB86) | v209(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30882, 35])).
% 15.42/11.50 tff(30884,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86))))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30885,plain,
% 15.42/11.50 ((v209(constB86) <=> (~((~v206(constB86)) | (~v191(constB86))))) <=> (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86)))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30886,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v206(constB86)) | (~v191(constB86)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86))))))),
% 15.42/11.50 inference(monotonicity,[status(thm)],[30885])).
% 15.42/11.50 tff(30887,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v206(constB86)) | (~v191(constB86)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86))))))),
% 15.42/11.50 inference(transitivity,[status(thm)],[30886, 30884])).
% 15.42/11.50 tff(30888,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v206(constB86)) | (~v191(constB86)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30889,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86)))))),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 15.42/11.50 tff(30890,plain,
% 15.42/11.50 (v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30889, 47])).
% 15.42/11.50 tff(30891,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB86) <=> (~((~v186(constB86)) | (~v207(constB86)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30892,plain,
% 15.42/11.50 (v206(constB86) <=> (~((~v186(constB86)) | (~v207(constB86))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30891, 16227])).
% 15.42/11.50 tff(30893,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86))))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30894,plain,
% 15.42/11.50 ((v207(constB86) <=> (~((~v208(constB86)) | (~v184(constB86))))) <=> (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86)))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30895,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v208(constB86)) | (~v184(constB86)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86))))))),
% 15.42/11.50 inference(monotonicity,[status(thm)],[30894])).
% 15.42/11.50 tff(30896,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v208(constB86)) | (~v184(constB86)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86))))))),
% 15.42/11.50 inference(transitivity,[status(thm)],[30895, 30893])).
% 15.42/11.50 tff(30897,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v208(constB86)) | (~v184(constB86)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30898,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86)))))),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[30897, 30896])).
% 15.42/11.50 tff(30899,plain,
% 15.42/11.50 (v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30898, 16239])).
% 15.42/11.50 tff(30900,plain,
% 15.42/11.50 (((~v184(constB86)) | (~v208(constB86))) | v184(constB86)),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30901,plain,
% 15.42/11.50 ((~v184(constB86)) | (~v208(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30900, 29821])).
% 15.42/11.50 tff(30902,plain,
% 15.42/11.50 ((~(v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86)))))) | (~v207(constB86)) | (~((~v184(constB86)) | (~v208(constB86))))),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30903,plain,
% 15.42/11.50 ((~(v207(constB86) <=> (~((~v184(constB86)) | (~v208(constB86)))))) | (~v207(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30902, 30901])).
% 15.42/11.50 tff(30904,plain,
% 15.42/11.50 (~v207(constB86)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30903, 30899])).
% 15.42/11.50 tff(30905,plain,
% 15.42/11.50 (((~v186(constB86)) | (~v207(constB86))) | v207(constB86)),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30906,plain,
% 15.42/11.50 ((~v186(constB86)) | (~v207(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30905, 30904])).
% 15.42/11.50 tff(30907,plain,
% 15.42/11.50 ((~(v206(constB86) <=> (~((~v186(constB86)) | (~v207(constB86)))))) | (~v206(constB86)) | (~((~v186(constB86)) | (~v207(constB86))))),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30908,plain,
% 15.42/11.50 (~v206(constB86)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30907, 30906, 30892])).
% 15.42/11.50 tff(30909,plain,
% 15.42/11.50 (((~v191(constB86)) | (~v206(constB86))) | v206(constB86)),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30910,plain,
% 15.42/11.50 ((~v191(constB86)) | (~v206(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30909, 30908])).
% 15.42/11.50 tff(30911,plain,
% 15.42/11.50 ((~(v209(constB86) <=> (~((~v191(constB86)) | (~v206(constB86)))))) | (~v209(constB86)) | (~((~v191(constB86)) | (~v206(constB86))))),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30912,plain,
% 15.42/11.50 (~v209(constB86)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30911, 30910, 30890])).
% 15.42/11.50 tff(30913,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86))))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30914,plain,
% 15.42/11.50 ((v205(constB86) <=> (~((~v206(constB86)) | (~v158(constB86))))) <=> (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86)))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30915,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v206(constB86)) | (~v158(constB86)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86))))))),
% 15.42/11.50 inference(monotonicity,[status(thm)],[30914])).
% 15.42/11.50 tff(30916,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v206(constB86)) | (~v158(constB86)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86))))))),
% 15.42/11.50 inference(transitivity,[status(thm)],[30915, 30913])).
% 15.42/11.50 tff(30917,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v206(constB86)) | (~v158(constB86)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30918,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86)))))),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[30917, 30916])).
% 15.42/11.50 tff(30919,plain,
% 15.42/11.50 (v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30918, 2502])).
% 15.42/11.50 tff(30920,plain,
% 15.42/11.50 (((~v158(constB86)) | (~v206(constB86))) | v206(constB86)),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30921,plain,
% 15.42/11.50 ((~v158(constB86)) | (~v206(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30920, 30908])).
% 15.42/11.50 tff(30922,plain,
% 15.42/11.50 ((~(v205(constB86) <=> (~((~v158(constB86)) | (~v206(constB86)))))) | (~v205(constB86)) | (~((~v158(constB86)) | (~v206(constB86))))),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30923,plain,
% 15.42/11.50 (~v205(constB86)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30922, 30921, 30919])).
% 15.42/11.50 tff(30924,plain,
% 15.42/11.50 ((~(v205(constB86) | v209(constB86))) | v205(constB86) | v209(constB86)),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30925,plain,
% 15.42/11.50 (~(v205(constB86) | v209(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30924, 30923, 30912])).
% 15.42/11.50 tff(30926,plain,
% 15.42/11.50 ((~(v204(constB86) <=> (v205(constB86) | v209(constB86)))) | (~v204(constB86)) | (v205(constB86) | v209(constB86))),
% 15.42/11.50 inference(tautology,[status(thm)],[])).
% 15.42/11.50 tff(30927,plain,
% 15.42/11.50 ((~(v204(constB86) <=> (v205(constB86) | v209(constB86)))) | (~v204(constB86))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30926, 30925])).
% 15.42/11.50 tff(30928,plain,
% 15.42/11.50 (~v204(constB86)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30927, 30883])).
% 15.42/11.50 tff(30929,plain,
% 15.42/11.50 ($false),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30928, 30881])).
% 15.42/11.50 tff(30930,plain,(~(constB86 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.42/11.50 tff(30931,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 15.42/11.50 tff(30932,plain,
% 15.42/11.50 (v204(constB99) <=> v204(VarCurr!0)),
% 15.42/11.50 inference(monotonicity,[status(thm)],[30931])).
% 15.42/11.50 tff(30933,plain,
% 15.42/11.50 (v204(VarCurr!0) <=> v204(constB99)),
% 15.42/11.50 inference(symmetry,[status(thm)],[30932])).
% 15.42/11.50 tff(30934,plain,
% 15.42/11.50 (v204(constB99)),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[27, 30933])).
% 15.42/11.50 tff(30935,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB99) <=> (v205(constB99) | v209(constB99)))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30936,plain,
% 15.42/11.50 (v204(constB99) <=> (v205(constB99) | v209(constB99))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30935, 35])).
% 15.42/11.50 tff(30937,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99))))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30938,plain,
% 15.42/11.50 ((v209(constB99) <=> (~((~v206(constB99)) | (~v191(constB99))))) <=> (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99)))))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30939,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v206(constB99)) | (~v191(constB99)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99))))))),
% 15.42/11.50 inference(monotonicity,[status(thm)],[30938])).
% 15.42/11.50 tff(30940,plain,
% 15.42/11.50 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v206(constB99)) | (~v191(constB99)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99))))))),
% 15.42/11.50 inference(transitivity,[status(thm)],[30939, 30937])).
% 15.42/11.50 tff(30941,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v206(constB99)) | (~v191(constB99)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30942,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99)))))),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[30941, 30940])).
% 15.42/11.50 tff(30943,plain,
% 15.42/11.50 (v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30942, 47])).
% 15.42/11.50 tff(30944,plain,
% 15.42/11.50 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB99) <=> v196(constB99))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30945,plain,
% 15.42/11.50 (v191(constB99) <=> v196(constB99)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30944, 64])).
% 15.42/11.50 tff(30946,plain,
% 15.42/11.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB98, constB99)) | (v196(constB99) <=> v194(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB98, constB99)) | (v196(constB99) <=> v194(constB98)))),
% 15.42/11.50 inference(rewrite,[status(thm)],[])).
% 15.42/11.50 tff(30947,plain,
% 15.42/11.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB98, constB99)) | (v196(constB99) <=> v194(constB98)))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30948,plain,
% 15.42/11.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB98, constB99)) | (v196(constB99) <=> v194(constB98))),
% 15.42/11.50 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 15.42/11.50 tff(30949,plain,
% 15.42/11.50 (v196(constB99) <=> v194(constB98)),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30948, 3933, 76])).
% 15.42/11.50 tff(30950,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB98) <=> (v197(constB98) | v198(constB98)))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30951,plain,
% 15.42/11.50 (v194(constB98) <=> (v197(constB98) | v198(constB98))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30950, 90])).
% 15.42/11.50 tff(30952,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB98) <=> (~((~v158(constB98)) | (~v199(constB98)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30953,plain,
% 15.42/11.50 (v198(constB98) <=> (~((~v158(constB98)) | (~v199(constB98))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30952, 102])).
% 15.42/11.50 tff(30954,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB98) <=> (~((~v186(constB98)) | (~v200(constB98)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30955,plain,
% 15.42/11.50 (v199(constB98) <=> (~((~v186(constB98)) | (~v200(constB98))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30954, 114])).
% 15.42/11.50 tff(30956,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB98) <=> (~((~v184(constB98)) | (~v84(constB98)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30957,plain,
% 15.42/11.50 (v200(constB98) <=> (~((~v184(constB98)) | (~v84(constB98))))),
% 15.42/11.50 inference(unit_resolution,[status(thm)],[30956, 126])).
% 15.42/11.50 tff(30958,plain,
% 15.42/11.50 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))),
% 15.42/11.50 inference(quant_inst,[status(thm)],[])).
% 15.42/11.50 tff(30959,plain,
% 15.42/11.50 (v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30958, 138])).
% 15.42/11.51 tff(30960,plain,
% 15.42/11.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB98)) <=> v1(constB98))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30961,plain,
% 15.42/11.51 ((~v39(constB98)) <=> v1(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30960, 147])).
% 15.42/11.51 tff(30962,plain,
% 15.42/11.51 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98)) | (~v1(constB98))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30963,plain,
% 15.42/11.51 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30962, 3995])).
% 15.42/11.51 tff(30964,plain,
% 15.42/11.51 (~v39(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30963, 30961])).
% 15.42/11.51 tff(30965,plain,
% 15.42/11.51 (((~v39(constB98)) | (~v9(constB98))) | v39(constB98)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30966,plain,
% 15.42/11.51 ((~v39(constB98)) | (~v9(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30965, 30964])).
% 15.42/11.51 tff(30967,plain,
% 15.42/11.51 ((~(v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v184(constB98)) | (~((~v39(constB98)) | (~v9(constB98))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30968,plain,
% 15.42/11.51 ((~(v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v184(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30967, 30966])).
% 15.42/11.51 tff(30969,plain,
% 15.42/11.51 (~v184(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30968, 30959])).
% 15.42/11.51 tff(30970,plain,
% 15.42/11.51 (((~v184(constB98)) | (~v84(constB98))) | v184(constB98)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30971,plain,
% 15.42/11.51 ((~v184(constB98)) | (~v84(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30970, 30969])).
% 15.42/11.51 tff(30972,plain,
% 15.42/11.51 ((~(v200(constB98) <=> (~((~v184(constB98)) | (~v84(constB98)))))) | (~v200(constB98)) | (~((~v184(constB98)) | (~v84(constB98))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30973,plain,
% 15.42/11.51 ((~(v200(constB98) <=> (~((~v184(constB98)) | (~v84(constB98)))))) | (~v200(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30972, 30971])).
% 15.42/11.51 tff(30974,plain,
% 15.42/11.51 (~v200(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30973, 30957])).
% 15.42/11.51 tff(30975,plain,
% 15.42/11.51 (((~v186(constB98)) | (~v200(constB98))) | v200(constB98)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30976,plain,
% 15.42/11.51 ((~v186(constB98)) | (~v200(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30975, 30974])).
% 15.42/11.51 tff(30977,plain,
% 15.42/11.51 ((~(v199(constB98) <=> (~((~v186(constB98)) | (~v200(constB98)))))) | (~v199(constB98)) | (~((~v186(constB98)) | (~v200(constB98))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30978,plain,
% 15.42/11.51 (~v199(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30977, 30976, 30955])).
% 15.42/11.51 tff(30979,plain,
% 15.42/11.51 (((~v158(constB98)) | (~v199(constB98))) | v199(constB98)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30980,plain,
% 15.42/11.51 ((~v158(constB98)) | (~v199(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30979, 30978])).
% 15.42/11.51 tff(30981,plain,
% 15.42/11.51 ((~(v198(constB98) <=> (~((~v158(constB98)) | (~v199(constB98)))))) | (~v198(constB98)) | (~((~v158(constB98)) | (~v199(constB98))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(30982,plain,
% 15.42/11.51 (~v198(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30981, 30980, 30953])).
% 15.42/11.51 tff(30983,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB98) <=> (~((~v182(constB98)) | (~v191(constB98)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30984,plain,
% 15.42/11.51 (v197(constB98) <=> (~((~v182(constB98)) | (~v191(constB98))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30983, 183])).
% 15.42/11.51 tff(30985,plain,
% 15.42/11.51 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB98) <=> v196(constB98))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30986,plain,
% 15.42/11.51 (v191(constB98) <=> v196(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30985, 64])).
% 15.42/11.51 tff(30987,plain,
% 15.42/11.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB97, constB98)) | (v196(constB98) <=> v194(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB97, constB98)) | (v196(constB98) <=> v194(constB97)))),
% 15.42/11.51 inference(rewrite,[status(thm)],[])).
% 15.42/11.51 tff(30988,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB97, constB98)) | (v196(constB98) <=> v194(constB97)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30989,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB97, constB98)) | (v196(constB98) <=> v194(constB97))),
% 15.42/11.51 inference(modus_ponens,[status(thm)],[30988, 30987])).
% 15.42/11.51 tff(30990,plain,
% 15.42/11.51 (v196(constB98) <=> v194(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30989, 3965, 76])).
% 15.42/11.51 tff(30991,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB97) <=> (v197(constB97) | v198(constB97)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30992,plain,
% 15.42/11.51 (v194(constB97) <=> (v197(constB97) | v198(constB97))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30991, 90])).
% 15.42/11.51 tff(30993,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB97) <=> (~((~v182(constB97)) | (~v191(constB97)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30994,plain,
% 15.42/11.51 (v197(constB97) <=> (~((~v182(constB97)) | (~v191(constB97))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30993, 183])).
% 15.42/11.51 tff(30995,plain,
% 15.42/11.51 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB97)) <=> v183(constB97))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30996,plain,
% 15.42/11.51 ((~v182(constB97)) <=> v183(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30995, 205])).
% 15.42/11.51 tff(30997,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB97) <=> (v184(constB97) | v26(constB97)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(30998,plain,
% 15.42/11.51 (v183(constB97) <=> (v184(constB97) | v26(constB97))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30997, 214])).
% 15.42/11.51 tff(30999,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31000,plain,
% 15.42/11.51 (v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[30999, 138])).
% 15.42/11.51 tff(31001,plain,
% 15.42/11.51 (((~![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)))),
% 15.42/11.51 inference(rewrite,[status(thm)],[])).
% 15.42/11.51 tff(31002,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31003,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97))),
% 15.42/11.51 inference(modus_ponens,[status(thm)],[31002, 31001])).
% 15.42/11.51 tff(31004,plain,
% 15.42/11.51 (v13(constB98) <=> v9(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31003, 3965, 228])).
% 15.42/11.51 tff(31005,plain,
% 15.42/11.51 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB98) <=> v13(constB98))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31006,plain,
% 15.42/11.51 (v6(constB98) <=> v13(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31005, 242])).
% 15.42/11.51 tff(31007,plain,
% 15.42/11.51 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB98)) <=> v6(constB98))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31008,plain,
% 15.42/11.51 ((~v21(constB98)) <=> v6(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31007, 251])).
% 15.42/11.51 tff(31009,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB98) <=> (v20(constB98) | v21(constB98)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31010,plain,
% 15.42/11.51 (v19(constB98) <=> (v20(constB98) | v21(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31009, 260])).
% 15.42/11.51 tff(31011,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31012,plain,
% 15.42/11.51 (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31011, 272])).
% 15.42/11.51 tff(31013,plain,
% 15.42/11.51 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB98)) <=> v18(constB98))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31014,plain,
% 15.42/11.51 ((~v4(constB98)) <=> v18(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31013, 281])).
% 15.42/11.51 tff(31015,plain,
% 15.42/11.51 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB98)),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31016,plain,
% 15.42/11.51 (v4(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31015, 290])).
% 15.42/11.51 tff(31017,plain,
% 15.42/11.51 ((~((~v4(constB98)) <=> v18(constB98))) | (~v4(constB98)) | (~v18(constB98))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31018,plain,
% 15.42/11.51 (~v18(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31017, 31016, 31014])).
% 15.42/11.51 tff(31019,plain,
% 15.42/11.51 ((~(v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))) | v18(constB98) | ((~v19(constB98)) | (~v22(constB98)))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31020,plain,
% 15.42/11.51 ((~v19(constB98)) | (~v22(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31019, 31018, 31012])).
% 15.42/11.51 tff(31021,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB98) <=> (v1(constB98) | v6(constB98)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31022,plain,
% 15.42/11.51 (v22(constB98) <=> (v1(constB98) | v6(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31021, 303])).
% 15.42/11.51 tff(31023,plain,
% 15.42/11.51 ((v1(constB98) | v6(constB98)) | (~v1(constB98))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31024,plain,
% 15.42/11.51 (v1(constB98) | v6(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31023, 3995])).
% 15.42/11.51 tff(31025,plain,
% 15.42/11.51 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98) | (~(v1(constB98) | v6(constB98)))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31026,plain,
% 15.42/11.51 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31025, 31024])).
% 15.42/11.51 tff(31027,plain,
% 15.42/11.51 (v22(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31026, 31022])).
% 15.42/11.51 tff(31028,plain,
% 15.42/11.51 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98)) | (~v22(constB98))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31029,plain,
% 15.42/11.51 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31028, 31027])).
% 15.42/11.51 tff(31030,plain,
% 15.42/11.51 (~v19(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31029, 31020])).
% 15.42/11.51 tff(31031,plain,
% 15.42/11.51 ((~(v19(constB98) <=> (v20(constB98) | v21(constB98)))) | v19(constB98) | (~(v20(constB98) | v21(constB98)))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31032,plain,
% 15.42/11.51 (~(v20(constB98) | v21(constB98))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31031, 31030, 31010])).
% 15.42/11.51 tff(31033,plain,
% 15.42/11.51 ((v20(constB98) | v21(constB98)) | (~v21(constB98))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31034,plain,
% 15.42/11.51 (~v21(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31033, 31032])).
% 15.42/11.51 tff(31035,plain,
% 15.42/11.51 ((~((~v21(constB98)) <=> v6(constB98))) | v21(constB98) | v6(constB98)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31036,plain,
% 15.42/11.51 (v6(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31035, 31034, 31008])).
% 15.42/11.51 tff(31037,plain,
% 15.42/11.51 ((~(v6(constB98) <=> v13(constB98))) | (~v6(constB98)) | v13(constB98)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31038,plain,
% 15.42/11.51 (v13(constB98)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31037, 31036, 31006])).
% 15.42/11.51 tff(31039,plain,
% 15.42/11.51 ((~(v13(constB98) <=> v9(constB97))) | (~v13(constB98)) | v9(constB97)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31040,plain,
% 15.42/11.51 (v9(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31039, 31038, 31004])).
% 15.42/11.51 tff(31041,plain,
% 15.42/11.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB97)) <=> v1(constB97))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31042,plain,
% 15.42/11.51 ((~v39(constB97)) <=> v1(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31041, 147])).
% 15.42/11.51 tff(31043,plain,
% 15.42/11.51 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97) | v1(constB97)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31044,plain,
% 15.42/11.51 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31043, 3987])).
% 15.42/11.51 tff(31045,plain,
% 15.42/11.51 (v39(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31044, 31042])).
% 15.42/11.51 tff(31046,plain,
% 15.42/11.51 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v39(constB97)) | (~v9(constB97))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31047,plain,
% 15.42/11.51 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v9(constB97))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31046, 31045])).
% 15.42/11.51 tff(31048,plain,
% 15.42/11.51 (~((~v39(constB97)) | (~v9(constB97)))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31047, 31040])).
% 15.42/11.51 tff(31049,plain,
% 15.42/11.51 ((~(v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))) | v184(constB97) | ((~v39(constB97)) | (~v9(constB97)))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31050,plain,
% 15.42/11.51 (v184(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31049, 31048, 31000])).
% 15.42/11.51 tff(31051,plain,
% 15.42/11.51 ((v184(constB97) | v26(constB97)) | (~v184(constB97))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31052,plain,
% 15.42/11.51 (v184(constB97) | v26(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31051, 31050])).
% 15.42/11.51 tff(31053,plain,
% 15.42/11.51 ((~(v183(constB97) <=> (v184(constB97) | v26(constB97)))) | v183(constB97) | (~(v184(constB97) | v26(constB97)))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31054,plain,
% 15.42/11.51 (v183(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31053, 31052, 30998])).
% 15.42/11.51 tff(31055,plain,
% 15.42/11.51 ((~((~v182(constB97)) <=> v183(constB97))) | (~v182(constB97)) | (~v183(constB97))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31056,plain,
% 15.42/11.51 (~v182(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31055, 31054, 30996])).
% 15.42/11.51 tff(31057,plain,
% 15.42/11.51 (((~v182(constB97)) | (~v191(constB97))) | v182(constB97)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31058,plain,
% 15.42/11.51 ((~v182(constB97)) | (~v191(constB97))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31057, 31056])).
% 15.42/11.51 tff(31059,plain,
% 15.42/11.51 ((~(v197(constB97) <=> (~((~v182(constB97)) | (~v191(constB97)))))) | (~v197(constB97)) | (~((~v182(constB97)) | (~v191(constB97))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31060,plain,
% 15.42/11.51 (~v197(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31059, 31058, 30994])).
% 15.42/11.51 tff(31061,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB97) <=> (~((~v158(constB97)) | (~v199(constB97)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31062,plain,
% 15.42/11.51 (v198(constB97) <=> (~((~v158(constB97)) | (~v199(constB97))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31061, 102])).
% 15.42/11.51 tff(31063,plain,
% 15.42/11.51 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB97) <=> v180(constB97))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31064,plain,
% 15.42/11.51 (v158(constB97) <=> v180(constB97)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31063, 358])).
% 15.42/11.51 tff(31065,plain,
% 15.42/11.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB96, constB97)) | (v180(constB97) <=> v178(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB96, constB97)) | (v180(constB97) <=> v178(constB96)))),
% 15.42/11.51 inference(rewrite,[status(thm)],[])).
% 15.42/11.51 tff(31066,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB96, constB97)) | (v180(constB97) <=> v178(constB96)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31067,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB96, constB97)) | (v180(constB97) <=> v178(constB96))),
% 15.42/11.51 inference(modus_ponens,[status(thm)],[31066, 31065])).
% 15.42/11.51 tff(31068,plain,
% 15.42/11.51 (v180(constB97) <=> v178(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31067, 4020, 370])).
% 15.42/11.51 tff(31069,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB96) <=> (v181(constB96) | v185(constB96)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31070,plain,
% 15.42/11.51 (v178(constB96) <=> (v181(constB96) | v185(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31069, 384])).
% 15.42/11.51 tff(31071,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB96) <=> (~((~v186(constB96)) | (~v187(constB96)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31072,plain,
% 15.42/11.51 (v185(constB96) <=> (~((~v186(constB96)) | (~v187(constB96))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31071, 396])).
% 15.42/11.51 tff(31073,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB96) <=> (~((~v184(constB96)) | (~v160(constB96)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31074,plain,
% 15.42/11.51 (v187(constB96) <=> (~((~v184(constB96)) | (~v160(constB96))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31073, 408])).
% 15.42/11.51 tff(31075,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31076,plain,
% 15.42/11.51 (v184(constB96) <=> (~((~v39(constB96)) | (~v9(constB96))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31075, 138])).
% 15.42/11.51 tff(31077,plain,
% 15.42/11.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB96)) <=> v1(constB96))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31078,plain,
% 15.42/11.51 ((~v39(constB96)) <=> v1(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31077, 147])).
% 15.42/11.51 tff(31079,plain,
% 15.42/11.51 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96)) | (~v1(constB96))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31080,plain,
% 15.42/11.51 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31079, 4082])).
% 15.42/11.51 tff(31081,plain,
% 15.42/11.51 (~v39(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31080, 31078])).
% 15.42/11.51 tff(31082,plain,
% 15.42/11.51 (((~v39(constB96)) | (~v9(constB96))) | v39(constB96)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31083,plain,
% 15.42/11.51 ((~v39(constB96)) | (~v9(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31082, 31081])).
% 15.42/11.51 tff(31084,plain,
% 15.42/11.51 ((~(v184(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v184(constB96)) | (~((~v39(constB96)) | (~v9(constB96))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31085,plain,
% 15.42/11.51 ((~(v184(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v184(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31084, 31083])).
% 15.42/11.51 tff(31086,plain,
% 15.42/11.51 (~v184(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31085, 31076])).
% 15.42/11.51 tff(31087,plain,
% 15.42/11.51 (((~v184(constB96)) | (~v160(constB96))) | v184(constB96)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31088,plain,
% 15.42/11.51 ((~v184(constB96)) | (~v160(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31087, 31086])).
% 15.42/11.51 tff(31089,plain,
% 15.42/11.51 ((~(v187(constB96) <=> (~((~v184(constB96)) | (~v160(constB96)))))) | (~v187(constB96)) | (~((~v184(constB96)) | (~v160(constB96))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31090,plain,
% 15.42/11.51 ((~(v187(constB96) <=> (~((~v184(constB96)) | (~v160(constB96)))))) | (~v187(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31089, 31088])).
% 15.42/11.51 tff(31091,plain,
% 15.42/11.51 (~v187(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31090, 31074])).
% 15.42/11.51 tff(31092,plain,
% 15.42/11.51 (((~v186(constB96)) | (~v187(constB96))) | v187(constB96)),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31093,plain,
% 15.42/11.51 ((~v186(constB96)) | (~v187(constB96))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31092, 31091])).
% 15.42/11.51 tff(31094,plain,
% 15.42/11.51 ((~(v185(constB96) <=> (~((~v186(constB96)) | (~v187(constB96)))))) | (~v185(constB96)) | (~((~v186(constB96)) | (~v187(constB96))))),
% 15.42/11.51 inference(tautology,[status(thm)],[])).
% 15.42/11.51 tff(31095,plain,
% 15.42/11.51 (~v185(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31094, 31093, 31072])).
% 15.42/11.51 tff(31096,plain,
% 15.42/11.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96))))))),
% 15.42/11.51 inference(rewrite,[status(thm)],[])).
% 15.42/11.51 tff(31097,plain,
% 15.42/11.51 ((v181(constB96) <=> (~((~v182(constB96)) | (~v158(constB96))))) <=> (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96)))))),
% 15.42/11.51 inference(rewrite,[status(thm)],[])).
% 15.42/11.51 tff(31098,plain,
% 15.42/11.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v182(constB96)) | (~v158(constB96)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96))))))),
% 15.42/11.51 inference(monotonicity,[status(thm)],[31097])).
% 15.42/11.51 tff(31099,plain,
% 15.42/11.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v182(constB96)) | (~v158(constB96)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96))))))),
% 15.42/11.51 inference(transitivity,[status(thm)],[31098, 31096])).
% 15.42/11.51 tff(31100,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v182(constB96)) | (~v158(constB96)))))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31101,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96)))))),
% 15.42/11.51 inference(modus_ponens,[status(thm)],[31100, 31099])).
% 15.42/11.51 tff(31102,plain,
% 15.42/11.51 (v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96))))),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31101, 444])).
% 15.42/11.51 tff(31103,plain,
% 15.42/11.51 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB96) <=> v180(constB96))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31104,plain,
% 15.42/11.51 (v158(constB96) <=> v180(constB96)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31103, 358])).
% 15.42/11.51 tff(31105,plain,
% 15.42/11.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB95, constB96)) | (v180(constB96) <=> v178(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB95, constB96)) | (v180(constB96) <=> v178(constB95)))),
% 15.42/11.51 inference(rewrite,[status(thm)],[])).
% 15.42/11.51 tff(31106,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB95, constB96)) | (v180(constB96) <=> v178(constB95)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31107,plain,
% 15.42/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB95, constB96)) | (v180(constB96) <=> v178(constB95))),
% 15.42/11.51 inference(modus_ponens,[status(thm)],[31106, 31105])).
% 15.42/11.51 tff(31108,plain,
% 15.42/11.51 (v180(constB96) <=> v178(constB95)),
% 15.42/11.51 inference(unit_resolution,[status(thm)],[31107, 4052, 370])).
% 15.42/11.51 tff(31109,plain,
% 15.42/11.51 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB95) <=> (v181(constB95) | v185(constB95)))),
% 15.42/11.51 inference(quant_inst,[status(thm)],[])).
% 15.42/11.51 tff(31110,plain,
% 15.42/11.52 (v178(constB95) <=> (v181(constB95) | v185(constB95))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31109, 384])).
% 15.42/11.52 tff(31111,plain,
% 15.42/11.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95))))))),
% 15.42/11.52 inference(rewrite,[status(thm)],[])).
% 15.42/11.52 tff(31112,plain,
% 15.42/11.52 ((v181(constB95) <=> (~((~v182(constB95)) | (~v158(constB95))))) <=> (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95)))))),
% 15.42/11.52 inference(rewrite,[status(thm)],[])).
% 15.42/11.52 tff(31113,plain,
% 15.42/11.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v182(constB95)) | (~v158(constB95)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95))))))),
% 15.42/11.52 inference(monotonicity,[status(thm)],[31112])).
% 15.42/11.52 tff(31114,plain,
% 15.42/11.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v182(constB95)) | (~v158(constB95)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95))))))),
% 15.42/11.52 inference(transitivity,[status(thm)],[31113, 31111])).
% 15.42/11.52 tff(31115,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v182(constB95)) | (~v158(constB95)))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31116,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95)))))),
% 15.42/11.52 inference(modus_ponens,[status(thm)],[31115, 31114])).
% 15.42/11.52 tff(31117,plain,
% 15.42/11.52 (v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95))))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31116, 444])).
% 15.42/11.52 tff(31118,plain,
% 15.42/11.52 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB95)) <=> v183(constB95))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31119,plain,
% 15.42/11.52 ((~v182(constB95)) <=> v183(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31118, 205])).
% 15.42/11.52 tff(31120,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB95) <=> (v184(constB95) | v26(constB95)))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31121,plain,
% 15.42/11.52 (v183(constB95) <=> (v184(constB95) | v26(constB95))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31120, 214])).
% 15.42/11.52 tff(31122,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31123,plain,
% 15.42/11.52 (v184(constB95) <=> (~((~v39(constB95)) | (~v9(constB95))))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31122, 138])).
% 15.42/11.52 tff(31124,plain,
% 15.42/11.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 15.42/11.52 inference(rewrite,[status(thm)],[])).
% 15.42/11.52 tff(31125,plain,
% 15.42/11.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31126,plain,
% 15.42/11.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95))),
% 15.42/11.52 inference(modus_ponens,[status(thm)],[31125, 31124])).
% 15.42/11.52 tff(31127,plain,
% 15.42/11.52 (v13(constB96) <=> v9(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31126, 4052, 228])).
% 15.42/11.52 tff(31128,plain,
% 15.42/11.52 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB96) <=> v13(constB96))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31129,plain,
% 15.42/11.52 (v6(constB96) <=> v13(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31128, 242])).
% 15.42/11.52 tff(31130,plain,
% 15.42/11.52 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB96)) <=> v6(constB96))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31131,plain,
% 15.42/11.52 ((~v21(constB96)) <=> v6(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31130, 251])).
% 15.42/11.52 tff(31132,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB96) <=> (v20(constB96) | v21(constB96)))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31133,plain,
% 15.42/11.52 (v19(constB96) <=> (v20(constB96) | v21(constB96))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31132, 260])).
% 15.42/11.52 tff(31134,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31135,plain,
% 15.42/11.52 (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96))))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31134, 272])).
% 15.42/11.52 tff(31136,plain,
% 15.42/11.52 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB96)) <=> v18(constB96))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31137,plain,
% 15.42/11.52 ((~v4(constB96)) <=> v18(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31136, 281])).
% 15.42/11.52 tff(31138,plain,
% 15.42/11.52 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB96)),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31139,plain,
% 15.42/11.52 (v4(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31138, 290])).
% 15.42/11.52 tff(31140,plain,
% 15.42/11.52 ((~((~v4(constB96)) <=> v18(constB96))) | (~v4(constB96)) | (~v18(constB96))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31141,plain,
% 15.42/11.52 (~v18(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31140, 31139, 31137])).
% 15.42/11.52 tff(31142,plain,
% 15.42/11.52 ((~(v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))) | v18(constB96) | ((~v19(constB96)) | (~v22(constB96)))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31143,plain,
% 15.42/11.52 ((~v19(constB96)) | (~v22(constB96))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31142, 31141, 31135])).
% 15.42/11.52 tff(31144,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB96) <=> (v1(constB96) | v6(constB96)))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31145,plain,
% 15.42/11.52 (v22(constB96) <=> (v1(constB96) | v6(constB96))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31144, 303])).
% 15.42/11.52 tff(31146,plain,
% 15.42/11.52 ((v1(constB96) | v6(constB96)) | (~v1(constB96))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31147,plain,
% 15.42/11.52 (v1(constB96) | v6(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31146, 4082])).
% 15.42/11.52 tff(31148,plain,
% 15.42/11.52 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96) | (~(v1(constB96) | v6(constB96)))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31149,plain,
% 15.42/11.52 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31148, 31147])).
% 15.42/11.52 tff(31150,plain,
% 15.42/11.52 (v22(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31149, 31145])).
% 15.42/11.52 tff(31151,plain,
% 15.42/11.52 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96)) | (~v22(constB96))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31152,plain,
% 15.42/11.52 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31151, 31150])).
% 15.42/11.52 tff(31153,plain,
% 15.42/11.52 (~v19(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31152, 31143])).
% 15.42/11.52 tff(31154,plain,
% 15.42/11.52 ((~(v19(constB96) <=> (v20(constB96) | v21(constB96)))) | v19(constB96) | (~(v20(constB96) | v21(constB96)))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31155,plain,
% 15.42/11.52 (~(v20(constB96) | v21(constB96))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31154, 31153, 31133])).
% 15.42/11.52 tff(31156,plain,
% 15.42/11.52 ((v20(constB96) | v21(constB96)) | (~v21(constB96))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31157,plain,
% 15.42/11.52 (~v21(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31156, 31155])).
% 15.42/11.52 tff(31158,plain,
% 15.42/11.52 ((~((~v21(constB96)) <=> v6(constB96))) | v21(constB96) | v6(constB96)),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31159,plain,
% 15.42/11.52 (v6(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31158, 31157, 31131])).
% 15.42/11.52 tff(31160,plain,
% 15.42/11.52 ((~(v6(constB96) <=> v13(constB96))) | (~v6(constB96)) | v13(constB96)),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31161,plain,
% 15.42/11.52 (v13(constB96)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31160, 31159, 31129])).
% 15.42/11.52 tff(31162,plain,
% 15.42/11.52 ((~(v13(constB96) <=> v9(constB95))) | (~v13(constB96)) | v9(constB95)),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31163,plain,
% 15.42/11.52 (v9(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31162, 31161, 31127])).
% 15.42/11.52 tff(31164,plain,
% 15.42/11.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB95)) <=> v1(constB95))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31165,plain,
% 15.42/11.52 ((~v39(constB95)) <=> v1(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31164, 147])).
% 15.42/11.52 tff(31166,plain,
% 15.42/11.52 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95) | v1(constB95)),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31167,plain,
% 15.42/11.52 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31166, 4074])).
% 15.42/11.52 tff(31168,plain,
% 15.42/11.52 (v39(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31167, 31165])).
% 15.42/11.52 tff(31169,plain,
% 15.42/11.52 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v39(constB95)) | (~v9(constB95))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31170,plain,
% 15.42/11.52 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v9(constB95))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31169, 31168])).
% 15.42/11.52 tff(31171,plain,
% 15.42/11.52 (~((~v39(constB95)) | (~v9(constB95)))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31170, 31163])).
% 15.42/11.52 tff(31172,plain,
% 15.42/11.52 ((~(v184(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))) | v184(constB95) | ((~v39(constB95)) | (~v9(constB95)))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31173,plain,
% 15.42/11.52 (v184(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31172, 31171, 31123])).
% 15.42/11.52 tff(31174,plain,
% 15.42/11.52 ((v184(constB95) | v26(constB95)) | (~v184(constB95))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31175,plain,
% 15.42/11.52 (v184(constB95) | v26(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31174, 31173])).
% 15.42/11.52 tff(31176,plain,
% 15.42/11.52 ((~(v183(constB95) <=> (v184(constB95) | v26(constB95)))) | v183(constB95) | (~(v184(constB95) | v26(constB95)))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31177,plain,
% 15.42/11.52 (v183(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31176, 31175, 31121])).
% 15.42/11.52 tff(31178,plain,
% 15.42/11.52 ((~((~v182(constB95)) <=> v183(constB95))) | (~v182(constB95)) | (~v183(constB95))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31179,plain,
% 15.42/11.52 (~v182(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31178, 31177, 31119])).
% 15.42/11.52 tff(31180,plain,
% 15.42/11.52 (((~v158(constB95)) | (~v182(constB95))) | v182(constB95)),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31181,plain,
% 15.42/11.52 ((~v158(constB95)) | (~v182(constB95))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31180, 31179])).
% 15.42/11.52 tff(31182,plain,
% 15.42/11.52 ((~(v181(constB95) <=> (~((~v158(constB95)) | (~v182(constB95)))))) | (~v181(constB95)) | (~((~v158(constB95)) | (~v182(constB95))))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31183,plain,
% 15.42/11.52 (~v181(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31182, 31181, 31117])).
% 15.42/11.52 tff(31184,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB95) <=> (~((~v186(constB95)) | (~v187(constB95)))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31185,plain,
% 15.42/11.52 (v185(constB95) <=> (~((~v186(constB95)) | (~v187(constB95))))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31184, 396])).
% 15.42/11.52 tff(31186,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB95) <=> (~((~v184(constB95)) | (~v160(constB95)))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31187,plain,
% 15.42/11.52 (v187(constB95) <=> (~((~v184(constB95)) | (~v160(constB95))))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31186, 408])).
% 15.42/11.52 tff(31188,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB95) <=> v162(constB95))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31189,plain,
% 15.42/11.52 (v160(constB95) <=> v162(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31188, 549])).
% 15.42/11.52 tff(31190,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB95) <=> (~(v88(constB95, bitIndex2) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex0)))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31191,plain,
% 15.42/11.52 (v141(constB95) <=> (~(v88(constB95, bitIndex2) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex0))))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31190, 564])).
% 15.42/11.52 tff(31192,plain,
% 15.42/11.52 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)))),
% 15.42/11.52 inference(rewrite,[status(thm)],[])).
% 15.42/11.52 tff(31193,plain,
% 15.42/11.52 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31194,plain,
% 15.42/11.52 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2))),
% 15.42/11.52 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 15.42/11.52 tff(31195,plain,
% 15.42/11.52 (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31194, 579, 576])).
% 15.42/11.52 tff(31196,plain,
% 15.42/11.52 ((~(v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2))) | v88(constB95, bitIndex2) | (~v90(constB95, bitIndex2))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31197,plain,
% 15.42/11.52 (v88(constB95, bitIndex2)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31196, 14509, 31195])).
% 15.42/11.52 tff(31198,plain,
% 15.42/11.52 ((v88(constB95, bitIndex2) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex0))) | (~v88(constB95, bitIndex2))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31199,plain,
% 15.42/11.52 (v88(constB95, bitIndex2) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex0))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31198, 31197])).
% 15.42/11.52 tff(31200,plain,
% 15.42/11.52 ((~(v141(constB95) <=> (~(v88(constB95, bitIndex2) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex0)))))) | (~v141(constB95)) | (~(v88(constB95, bitIndex2) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex0))))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31201,plain,
% 15.42/11.52 (~v141(constB95)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31200, 31199, 31191])).
% 15.42/11.52 tff(31202,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB95) <=> (v139(constB95) | v140(constB95)))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31203,plain,
% 15.42/11.52 (v170(constB95) <=> (v139(constB95) | v140(constB95))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31202, 2216])).
% 15.42/11.52 tff(31204,plain,
% 15.42/11.52 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB95) <=> (~(v88(constB95, bitIndex0) | v88(constB95, bitIndex1) | v88(constB95, bitIndex2))))),
% 15.42/11.52 inference(quant_inst,[status(thm)],[])).
% 15.42/11.52 tff(31205,plain,
% 15.42/11.52 (v139(constB95) <=> (~(v88(constB95, bitIndex0) | v88(constB95, bitIndex1) | v88(constB95, bitIndex2)))),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31204, 2231])).
% 15.42/11.52 tff(31206,plain,
% 15.42/11.52 ((v88(constB95, bitIndex0) | v88(constB95, bitIndex1) | v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex2))),
% 15.42/11.52 inference(tautology,[status(thm)],[])).
% 15.42/11.52 tff(31207,plain,
% 15.42/11.52 (v88(constB95, bitIndex0) | v88(constB95, bitIndex1) | v88(constB95, bitIndex2)),
% 15.42/11.52 inference(unit_resolution,[status(thm)],[31206, 31197])).
% 15.42/11.53 tff(31208,plain,
% 15.42/11.53 ((~(v139(constB95) <=> (~(v88(constB95, bitIndex0) | v88(constB95, bitIndex1) | v88(constB95, bitIndex2))))) | (~v139(constB95)) | (~(v88(constB95, bitIndex0) | v88(constB95, bitIndex1) | v88(constB95, bitIndex2)))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31209,plain,
% 15.42/11.53 (~v139(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31208, 31207, 31205])).
% 15.42/11.53 tff(31210,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31211,plain,
% 15.42/11.53 ((v140(constB95) <=> (~(v88(constB95, bitIndex1) | v88(constB95, bitIndex2) | (~v88(constB95, bitIndex0))))) <=> (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31212,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex1) | v88(constB95, bitIndex2) | (~v88(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))))),
% 15.42/11.53 inference(monotonicity,[status(thm)],[31211])).
% 15.42/11.53 tff(31213,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex1) | v88(constB95, bitIndex2) | (~v88(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))))),
% 15.42/11.53 inference(transitivity,[status(thm)],[31212, 31210])).
% 15.42/11.53 tff(31214,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex1) | v88(constB95, bitIndex2) | (~v88(constB95, bitIndex0)))))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31215,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))),
% 15.42/11.53 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 15.42/11.53 tff(31216,plain,
% 15.42/11.53 (v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31215, 2250])).
% 15.42/11.53 tff(31217,plain,
% 15.42/11.53 ((v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))) | (~v88(constB95, bitIndex2))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31218,plain,
% 15.42/11.53 (v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31217, 31197])).
% 15.42/11.53 tff(31219,plain,
% 15.42/11.53 ((~(v140(constB95) <=> (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))) | (~v140(constB95)) | (~(v88(constB95, bitIndex2) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31220,plain,
% 15.42/11.53 (~v140(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31219, 31218, 31216])).
% 15.42/11.53 tff(31221,plain,
% 15.42/11.53 ((~(v139(constB95) | v140(constB95))) | v139(constB95) | v140(constB95)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31222,plain,
% 15.42/11.53 (~(v139(constB95) | v140(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31221, 31220, 31209])).
% 15.42/11.53 tff(31223,plain,
% 15.42/11.53 ((~(v170(constB95) <=> (v139(constB95) | v140(constB95)))) | (~v170(constB95)) | (v139(constB95) | v140(constB95))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31224,plain,
% 15.42/11.53 (~v170(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31223, 31222, 31203])).
% 15.42/11.53 tff(31225,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB95) | v170(constB95) | (~v169(constB95)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB95) | v170(constB95) | (~v169(constB95)))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31226,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB95) | v170(constB95) | (~v169(constB95)))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31227,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB95) | v170(constB95) | (~v169(constB95))),
% 15.42/11.53 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 15.42/11.53 tff(31228,plain,
% 15.42/11.53 (v141(constB95) | v170(constB95) | (~v169(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31227, 2278])).
% 15.42/11.53 tff(31229,plain,
% 15.42/11.53 (~v169(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31228, 31224, 31201])).
% 15.42/11.53 tff(31230,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB95) <=> (v145(constB95) | v166(constB95)))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31231,plain,
% 15.42/11.53 (v165(constB95) <=> (v145(constB95) | v166(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31230, 2293])).
% 15.42/11.53 tff(31232,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB95) <=> (v146(constB95) | v147(constB95)))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31233,plain,
% 15.42/11.53 (v145(constB95) <=> (v146(constB95) | v147(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31232, 2302])).
% 15.42/11.53 tff(31234,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31235,plain,
% 15.42/11.53 ((v147(constB95) <=> (~(v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | (~v88(constB95, bitIndex2))))) <=> (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31236,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~(v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | (~v88(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))))),
% 15.42/11.53 inference(monotonicity,[status(thm)],[31235])).
% 15.42/11.53 tff(31237,plain,
% 15.42/11.53 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~(v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | (~v88(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))))),
% 15.42/11.53 inference(transitivity,[status(thm)],[31236, 31234])).
% 15.42/11.53 tff(31238,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~(v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | (~v88(constB95, bitIndex2)))))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31239,plain,
% 15.42/11.53 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))),
% 15.42/11.53 inference(modus_ponens,[status(thm)],[31238, 31237])).
% 15.42/11.53 tff(31240,plain,
% 15.42/11.53 (v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31239, 2317])).
% 15.42/11.53 tff(31241,plain,
% 15.42/11.53 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31242,plain,
% 15.42/11.53 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31243,plain,
% 15.42/11.53 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0))),
% 15.42/11.53 inference(modus_ponens,[status(thm)],[31242, 31241])).
% 15.42/11.53 tff(31244,plain,
% 15.42/11.53 (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31243, 1275, 576])).
% 15.42/11.53 tff(31245,plain,
% 15.42/11.53 ((~(v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0))) | v88(constB95, bitIndex0) | (~v90(constB95, bitIndex0))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31246,plain,
% 15.42/11.53 (v88(constB95, bitIndex0)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31245, 14540, 31244])).
% 15.42/11.53 tff(31247,plain,
% 15.42/11.53 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31248,plain,
% 15.42/11.53 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31249,plain,
% 15.42/11.53 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1))),
% 15.42/11.53 inference(modus_ponens,[status(thm)],[31248, 31247])).
% 15.42/11.53 tff(31250,plain,
% 15.42/11.53 (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31249, 1288, 576])).
% 15.42/11.53 tff(31251,plain,
% 15.42/11.53 ((~(v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1))) | (~v88(constB95, bitIndex1)) | v90(constB95, bitIndex1)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31252,plain,
% 15.42/11.53 (~v88(constB95, bitIndex1)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31251, 14571, 31250])).
% 15.42/11.53 tff(31253,plain,
% 15.42/11.53 ((~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31254,plain,
% 15.42/11.53 (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31253, 31252, 31246, 31197])).
% 15.42/11.53 tff(31255,plain,
% 15.42/11.53 ((~(v147(constB95) <=> (~((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))))) | v147(constB95) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31256,plain,
% 15.42/11.53 (v147(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31255, 31254, 31240])).
% 15.42/11.53 tff(31257,plain,
% 15.42/11.53 ((v146(constB95) | v147(constB95)) | (~v147(constB95))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31258,plain,
% 15.42/11.53 (v146(constB95) | v147(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31257, 31256])).
% 15.42/11.53 tff(31259,plain,
% 15.42/11.53 ((~(v145(constB95) <=> (v146(constB95) | v147(constB95)))) | v145(constB95) | (~(v146(constB95) | v147(constB95)))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31260,plain,
% 15.42/11.53 (v145(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31259, 31258, 31233])).
% 15.42/11.53 tff(31261,plain,
% 15.42/11.53 ((v145(constB95) | v166(constB95)) | (~v145(constB95))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31262,plain,
% 15.42/11.53 (v145(constB95) | v166(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31261, 31260])).
% 15.42/11.53 tff(31263,plain,
% 15.42/11.53 ((~(v165(constB95) <=> (v145(constB95) | v166(constB95)))) | v165(constB95) | (~(v145(constB95) | v166(constB95)))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31264,plain,
% 15.42/11.53 (v165(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31263, 31262, 31231])).
% 15.42/11.53 tff(31265,plain,
% 15.42/11.53 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB95)) | (v162(constB95) <=> v169(constB95)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB95)) | (v162(constB95) <=> v169(constB95)))),
% 15.42/11.53 inference(rewrite,[status(thm)],[])).
% 15.42/11.53 tff(31266,plain,
% 15.42/11.53 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB95)) | (v162(constB95) <=> v169(constB95)))),
% 15.42/11.53 inference(quant_inst,[status(thm)],[])).
% 15.42/11.53 tff(31267,plain,
% 15.42/11.53 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB95)) | (v162(constB95) <=> v169(constB95))),
% 15.42/11.53 inference(modus_ponens,[status(thm)],[31266, 31265])).
% 15.42/11.53 tff(31268,plain,
% 15.42/11.53 ((~v165(constB95)) | (v162(constB95) <=> v169(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31267, 2426])).
% 15.42/11.53 tff(31269,plain,
% 15.42/11.53 (v162(constB95) <=> v169(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31268, 31264])).
% 15.42/11.53 tff(31270,plain,
% 15.42/11.53 ((~(v162(constB95) <=> v169(constB95))) | (~v162(constB95)) | v169(constB95)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31271,plain,
% 15.42/11.53 (~v162(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31270, 31269, 31229])).
% 15.42/11.53 tff(31272,plain,
% 15.42/11.53 ((~(v160(constB95) <=> v162(constB95))) | (~v160(constB95)) | v162(constB95)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31273,plain,
% 15.42/11.53 ((~(v160(constB95) <=> v162(constB95))) | (~v160(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31272, 31271])).
% 15.42/11.53 tff(31274,plain,
% 15.42/11.53 (~v160(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31273, 31189])).
% 15.42/11.53 tff(31275,plain,
% 15.42/11.53 (((~v184(constB95)) | (~v160(constB95))) | v160(constB95)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31276,plain,
% 15.42/11.53 ((~v184(constB95)) | (~v160(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31275, 31274])).
% 15.42/11.53 tff(31277,plain,
% 15.42/11.53 ((~(v187(constB95) <=> (~((~v184(constB95)) | (~v160(constB95)))))) | (~v187(constB95)) | (~((~v184(constB95)) | (~v160(constB95))))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31278,plain,
% 15.42/11.53 (~v187(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31277, 31276, 31187])).
% 15.42/11.53 tff(31279,plain,
% 15.42/11.53 (((~v186(constB95)) | (~v187(constB95))) | v187(constB95)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31280,plain,
% 15.42/11.53 ((~v186(constB95)) | (~v187(constB95))),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31279, 31278])).
% 15.42/11.53 tff(31281,plain,
% 15.42/11.53 ((~(v185(constB95) <=> (~((~v186(constB95)) | (~v187(constB95)))))) | (~v185(constB95)) | (~((~v186(constB95)) | (~v187(constB95))))),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.53 tff(31282,plain,
% 15.42/11.53 (~v185(constB95)),
% 15.42/11.53 inference(unit_resolution,[status(thm)],[31281, 31280, 31185])).
% 15.42/11.53 tff(31283,plain,
% 15.42/11.53 ((~(v181(constB95) | v185(constB95))) | v181(constB95) | v185(constB95)),
% 15.42/11.53 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31284,plain,
% 15.42/11.54 (~(v181(constB95) | v185(constB95))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31283, 31282, 31183])).
% 15.42/11.54 tff(31285,plain,
% 15.42/11.54 ((~(v178(constB95) <=> (v181(constB95) | v185(constB95)))) | (~v178(constB95)) | (v181(constB95) | v185(constB95))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31286,plain,
% 15.42/11.54 (~v178(constB95)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31285, 31284, 31110])).
% 15.42/11.54 tff(31287,plain,
% 15.42/11.54 ((~(v180(constB96) <=> v178(constB95))) | (~v180(constB96)) | v178(constB95)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31288,plain,
% 15.42/11.54 (~v180(constB96)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31287, 31286, 31108])).
% 15.42/11.54 tff(31289,plain,
% 15.42/11.54 ((~(v158(constB96) <=> v180(constB96))) | (~v158(constB96)) | v180(constB96)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31290,plain,
% 15.42/11.54 (~v158(constB96)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31289, 31288, 31104])).
% 15.42/11.54 tff(31291,plain,
% 15.42/11.54 (((~v158(constB96)) | (~v182(constB96))) | v158(constB96)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31292,plain,
% 15.42/11.54 ((~v158(constB96)) | (~v182(constB96))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31291, 31290])).
% 15.42/11.54 tff(31293,plain,
% 15.42/11.54 ((~(v181(constB96) <=> (~((~v158(constB96)) | (~v182(constB96)))))) | (~v181(constB96)) | (~((~v158(constB96)) | (~v182(constB96))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31294,plain,
% 15.42/11.54 (~v181(constB96)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31293, 31292, 31102])).
% 15.42/11.54 tff(31295,plain,
% 15.42/11.54 ((~(v181(constB96) | v185(constB96))) | v181(constB96) | v185(constB96)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31296,plain,
% 15.42/11.54 (~(v181(constB96) | v185(constB96))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31295, 31294, 31095])).
% 15.42/11.54 tff(31297,plain,
% 15.42/11.54 ((~(v178(constB96) <=> (v181(constB96) | v185(constB96)))) | (~v178(constB96)) | (v181(constB96) | v185(constB96))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31298,plain,
% 15.42/11.54 (~v178(constB96)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31297, 31296, 31070])).
% 15.42/11.54 tff(31299,plain,
% 15.42/11.54 ((~(v180(constB97) <=> v178(constB96))) | (~v180(constB97)) | v178(constB96)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31300,plain,
% 15.42/11.54 (~v180(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31299, 31298, 31068])).
% 15.42/11.54 tff(31301,plain,
% 15.42/11.54 ((~(v158(constB97) <=> v180(constB97))) | (~v158(constB97)) | v180(constB97)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31302,plain,
% 15.42/11.54 (~v158(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31301, 31300, 31064])).
% 15.42/11.54 tff(31303,plain,
% 15.42/11.54 (((~v158(constB97)) | (~v199(constB97))) | v158(constB97)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31304,plain,
% 15.42/11.54 ((~v158(constB97)) | (~v199(constB97))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31303, 31302])).
% 15.42/11.54 tff(31305,plain,
% 15.42/11.54 ((~(v198(constB97) <=> (~((~v158(constB97)) | (~v199(constB97)))))) | (~v198(constB97)) | (~((~v158(constB97)) | (~v199(constB97))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31306,plain,
% 15.42/11.54 (~v198(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31305, 31304, 31062])).
% 15.42/11.54 tff(31307,plain,
% 15.42/11.54 ((~(v197(constB97) | v198(constB97))) | v197(constB97) | v198(constB97)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31308,plain,
% 15.42/11.54 (~(v197(constB97) | v198(constB97))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31307, 31306, 31060])).
% 15.42/11.54 tff(31309,plain,
% 15.42/11.54 ((~(v194(constB97) <=> (v197(constB97) | v198(constB97)))) | (~v194(constB97)) | (v197(constB97) | v198(constB97))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31310,plain,
% 15.42/11.54 (~v194(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31309, 31308, 30992])).
% 15.42/11.54 tff(31311,plain,
% 15.42/11.54 ((~(v196(constB98) <=> v194(constB97))) | (~v196(constB98)) | v194(constB97)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31312,plain,
% 15.42/11.54 (~v196(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31311, 31310, 30990])).
% 15.42/11.54 tff(31313,plain,
% 15.42/11.54 ((~(v191(constB98) <=> v196(constB98))) | (~v191(constB98)) | v196(constB98)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31314,plain,
% 15.42/11.54 (~v191(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31313, 31312, 30986])).
% 15.42/11.54 tff(31315,plain,
% 15.42/11.54 (((~v182(constB98)) | (~v191(constB98))) | v191(constB98)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31316,plain,
% 15.42/11.54 ((~v182(constB98)) | (~v191(constB98))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31315, 31314])).
% 15.42/11.54 tff(31317,plain,
% 15.42/11.54 ((~(v197(constB98) <=> (~((~v182(constB98)) | (~v191(constB98)))))) | (~v197(constB98)) | (~((~v182(constB98)) | (~v191(constB98))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31318,plain,
% 15.42/11.54 (~v197(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31317, 31316, 30984])).
% 15.42/11.54 tff(31319,plain,
% 15.42/11.54 ((~(v197(constB98) | v198(constB98))) | v197(constB98) | v198(constB98)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31320,plain,
% 15.42/11.54 (~(v197(constB98) | v198(constB98))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31319, 31318, 30982])).
% 15.42/11.54 tff(31321,plain,
% 15.42/11.54 ((~(v194(constB98) <=> (v197(constB98) | v198(constB98)))) | (~v194(constB98)) | (v197(constB98) | v198(constB98))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31322,plain,
% 15.42/11.54 (~v194(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31321, 31320, 30951])).
% 15.42/11.54 tff(31323,plain,
% 15.42/11.54 ((~(v196(constB99) <=> v194(constB98))) | (~v196(constB99)) | v194(constB98)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31324,plain,
% 15.42/11.54 (~v196(constB99)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31323, 31322, 30949])).
% 15.42/11.54 tff(31325,plain,
% 15.42/11.54 ((~(v191(constB99) <=> v196(constB99))) | (~v191(constB99)) | v196(constB99)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31326,plain,
% 15.42/11.54 (~v191(constB99)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31325, 31324, 30945])).
% 15.42/11.54 tff(31327,plain,
% 15.42/11.54 (((~v191(constB99)) | (~v206(constB99))) | v191(constB99)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31328,plain,
% 15.42/11.54 ((~v191(constB99)) | (~v206(constB99))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31327, 31326])).
% 15.42/11.54 tff(31329,plain,
% 15.42/11.54 ((~(v209(constB99) <=> (~((~v191(constB99)) | (~v206(constB99)))))) | (~v209(constB99)) | (~((~v191(constB99)) | (~v206(constB99))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31330,plain,
% 15.42/11.54 (~v209(constB99)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31329, 31328, 30943])).
% 15.42/11.54 tff(31331,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99))))))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31332,plain,
% 15.42/11.54 ((v205(constB99) <=> (~((~v206(constB99)) | (~v158(constB99))))) <=> (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99)))))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31333,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v206(constB99)) | (~v158(constB99)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99))))))),
% 15.42/11.54 inference(monotonicity,[status(thm)],[31332])).
% 15.42/11.54 tff(31334,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v206(constB99)) | (~v158(constB99)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99))))))),
% 15.42/11.54 inference(transitivity,[status(thm)],[31333, 31331])).
% 15.42/11.54 tff(31335,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v206(constB99)) | (~v158(constB99)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31336,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99)))))),
% 15.42/11.54 inference(modus_ponens,[status(thm)],[31335, 31334])).
% 15.42/11.54 tff(31337,plain,
% 15.42/11.54 (v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31336, 2502])).
% 15.42/11.54 tff(31338,plain,
% 15.42/11.54 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB99) <=> v180(constB99))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31339,plain,
% 15.42/11.54 (v158(constB99) <=> v180(constB99)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31338, 358])).
% 15.42/11.54 tff(31340,plain,
% 15.42/11.54 (((~![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)))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31341,plain,
% 15.42/11.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31342,plain,
% 15.42/11.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98))),
% 15.42/11.54 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 15.42/11.54 tff(31343,plain,
% 15.42/11.54 (v180(constB99) <=> v178(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31342, 3933, 370])).
% 15.42/11.54 tff(31344,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB98) <=> (v181(constB98) | v185(constB98)))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31345,plain,
% 15.42/11.54 (v178(constB98) <=> (v181(constB98) | v185(constB98))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31344, 384])).
% 15.42/11.54 tff(31346,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31347,plain,
% 15.42/11.54 (v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31346, 396])).
% 15.42/11.54 tff(31348,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB98) <=> (~((~v184(constB98)) | (~v160(constB98)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31349,plain,
% 15.42/11.54 (v187(constB98) <=> (~((~v184(constB98)) | (~v160(constB98))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31348, 408])).
% 15.42/11.54 tff(31350,plain,
% 15.42/11.54 (((~v184(constB98)) | (~v160(constB98))) | v184(constB98)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31351,plain,
% 15.42/11.54 ((~v184(constB98)) | (~v160(constB98))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31350, 30969])).
% 15.42/11.54 tff(31352,plain,
% 15.42/11.54 ((~(v187(constB98) <=> (~((~v184(constB98)) | (~v160(constB98)))))) | (~v187(constB98)) | (~((~v184(constB98)) | (~v160(constB98))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31353,plain,
% 15.42/11.54 ((~(v187(constB98) <=> (~((~v184(constB98)) | (~v160(constB98)))))) | (~v187(constB98))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31352, 31351])).
% 15.42/11.54 tff(31354,plain,
% 15.42/11.54 (~v187(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31353, 31349])).
% 15.42/11.54 tff(31355,plain,
% 15.42/11.54 (((~v186(constB98)) | (~v187(constB98))) | v187(constB98)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31356,plain,
% 15.42/11.54 ((~v186(constB98)) | (~v187(constB98))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31355, 31354])).
% 15.42/11.54 tff(31357,plain,
% 15.42/11.54 ((~(v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98)))))) | (~v185(constB98)) | (~((~v186(constB98)) | (~v187(constB98))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31358,plain,
% 15.42/11.54 (~v185(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31357, 31356, 31347])).
% 15.42/11.54 tff(31359,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98))))))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31360,plain,
% 15.42/11.54 ((v181(constB98) <=> (~((~v182(constB98)) | (~v158(constB98))))) <=> (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98)))))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31361,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v158(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98))))))),
% 15.42/11.54 inference(monotonicity,[status(thm)],[31360])).
% 15.42/11.54 tff(31362,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v158(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98))))))),
% 15.42/11.54 inference(transitivity,[status(thm)],[31361, 31359])).
% 15.42/11.54 tff(31363,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v158(constB98)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31364,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98)))))),
% 15.42/11.54 inference(modus_ponens,[status(thm)],[31363, 31362])).
% 15.42/11.54 tff(31365,plain,
% 15.42/11.54 (v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31364, 444])).
% 15.42/11.54 tff(31366,plain,
% 15.42/11.54 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB98) <=> v180(constB98))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31367,plain,
% 15.42/11.54 (v158(constB98) <=> v180(constB98)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31366, 358])).
% 15.42/11.54 tff(31368,plain,
% 15.42/11.54 (((~![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)))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31369,plain,
% 15.42/11.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31370,plain,
% 15.42/11.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97))),
% 15.42/11.54 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 15.42/11.54 tff(31371,plain,
% 15.42/11.54 (v180(constB98) <=> v178(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31370, 3965, 370])).
% 15.42/11.54 tff(31372,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB97) <=> (v181(constB97) | v185(constB97)))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31373,plain,
% 15.42/11.54 (v178(constB97) <=> (v181(constB97) | v185(constB97))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31372, 384])).
% 15.42/11.54 tff(31374,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97))))))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31375,plain,
% 15.42/11.54 ((v181(constB97) <=> (~((~v182(constB97)) | (~v158(constB97))))) <=> (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97)))))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31376,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v158(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97))))))),
% 15.42/11.54 inference(monotonicity,[status(thm)],[31375])).
% 15.42/11.54 tff(31377,plain,
% 15.42/11.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v158(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97))))))),
% 15.42/11.54 inference(transitivity,[status(thm)],[31376, 31374])).
% 15.42/11.54 tff(31378,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v158(constB97)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31379,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97)))))),
% 15.42/11.54 inference(modus_ponens,[status(thm)],[31378, 31377])).
% 15.42/11.54 tff(31380,plain,
% 15.42/11.54 (v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31379, 444])).
% 15.42/11.54 tff(31381,plain,
% 15.42/11.54 (((~v158(constB97)) | (~v182(constB97))) | v182(constB97)),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31382,plain,
% 15.42/11.54 ((~v158(constB97)) | (~v182(constB97))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31381, 31056])).
% 15.42/11.54 tff(31383,plain,
% 15.42/11.54 ((~(v181(constB97) <=> (~((~v158(constB97)) | (~v182(constB97)))))) | (~v181(constB97)) | (~((~v158(constB97)) | (~v182(constB97))))),
% 15.42/11.54 inference(tautology,[status(thm)],[])).
% 15.42/11.54 tff(31384,plain,
% 15.42/11.54 (~v181(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31383, 31382, 31380])).
% 15.42/11.54 tff(31385,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31386,plain,
% 15.42/11.54 (v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31385, 396])).
% 15.42/11.54 tff(31387,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB97) <=> (~((~v184(constB97)) | (~v160(constB97)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31388,plain,
% 15.42/11.54 (v187(constB97) <=> (~((~v184(constB97)) | (~v160(constB97))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31387, 408])).
% 15.42/11.54 tff(31389,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB97) <=> v162(constB97))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31390,plain,
% 15.42/11.54 (v160(constB97) <=> v162(constB97)),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31389, 549])).
% 15.42/11.54 tff(31391,plain,
% 15.42/11.54 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB97) <=> (~(v88(constB97, bitIndex2) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex0)))))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31392,plain,
% 15.42/11.54 (v141(constB97) <=> (~(v88(constB97, bitIndex2) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex0))))),
% 15.42/11.54 inference(unit_resolution,[status(thm)],[31391, 564])).
% 15.42/11.54 tff(31393,plain,
% 15.42/11.54 (((~![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)))),
% 15.42/11.54 inference(rewrite,[status(thm)],[])).
% 15.42/11.54 tff(31394,plain,
% 15.42/11.54 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2)))),
% 15.42/11.54 inference(quant_inst,[status(thm)],[])).
% 15.42/11.54 tff(31395,plain,
% 15.42/11.54 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2))),
% 15.42/11.54 inference(modus_ponens,[status(thm)],[31394, 31393])).
% 15.42/11.54 tff(31396,plain,
% 15.42/11.54 (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31395, 579, 576])).
% 15.42/11.55 tff(31397,plain,
% 15.42/11.55 ((~(v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2))) | v88(constB97, bitIndex2) | (~v90(constB97, bitIndex2))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31398,plain,
% 15.42/11.55 (v88(constB97, bitIndex2)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31397, 14655, 31396])).
% 15.42/11.55 tff(31399,plain,
% 15.42/11.55 ((v88(constB97, bitIndex2) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex0))) | (~v88(constB97, bitIndex2))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31400,plain,
% 15.42/11.55 (v88(constB97, bitIndex2) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex0))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31399, 31398])).
% 15.42/11.55 tff(31401,plain,
% 15.42/11.55 ((~(v141(constB97) <=> (~(v88(constB97, bitIndex2) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex0)))))) | (~v141(constB97)) | (~(v88(constB97, bitIndex2) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex0))))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31402,plain,
% 15.42/11.55 (~v141(constB97)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31401, 31400, 31392])).
% 15.42/11.55 tff(31403,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB97) <=> (v139(constB97) | v140(constB97)))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31404,plain,
% 15.42/11.55 (v170(constB97) <=> (v139(constB97) | v140(constB97))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31403, 2216])).
% 15.42/11.55 tff(31405,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2))))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31406,plain,
% 15.42/11.55 (v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31405, 2231])).
% 15.42/11.55 tff(31407,plain,
% 15.42/11.55 ((v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex2))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31408,plain,
% 15.42/11.55 (v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31407, 31398])).
% 15.42/11.55 tff(31409,plain,
% 15.42/11.55 ((~(v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2))))) | (~v139(constB97)) | (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31410,plain,
% 15.42/11.55 (~v139(constB97)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31409, 31408, 31406])).
% 15.42/11.55 tff(31411,plain,
% 15.42/11.55 (((~![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))))))),
% 15.42/11.55 inference(rewrite,[status(thm)],[])).
% 15.42/11.55 tff(31412,plain,
% 15.42/11.55 ((v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0))))) <=> (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))),
% 15.42/11.55 inference(rewrite,[status(thm)],[])).
% 15.42/11.55 tff(31413,plain,
% 15.42/11.55 (((~![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))))))),
% 15.42/11.55 inference(monotonicity,[status(thm)],[31412])).
% 15.42/11.55 tff(31414,plain,
% 15.42/11.55 (((~![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))))))),
% 15.42/11.55 inference(transitivity,[status(thm)],[31413, 31411])).
% 15.42/11.55 tff(31415,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)))))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31416,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))),
% 15.42/11.55 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 15.42/11.55 tff(31417,plain,
% 15.42/11.55 (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31416, 2250])).
% 15.42/11.55 tff(31418,plain,
% 15.42/11.55 ((v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))) | (~v88(constB97, bitIndex2))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31419,plain,
% 15.42/11.55 (v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31418, 31398])).
% 15.42/11.55 tff(31420,plain,
% 15.42/11.55 ((~(v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))) | (~v140(constB97)) | (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31421,plain,
% 15.42/11.55 (~v140(constB97)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31420, 31419, 31417])).
% 15.42/11.55 tff(31422,plain,
% 15.42/11.55 ((~(v139(constB97) | v140(constB97))) | v139(constB97) | v140(constB97)),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31423,plain,
% 15.42/11.55 (~(v139(constB97) | v140(constB97))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31422, 31421, 31410])).
% 15.42/11.55 tff(31424,plain,
% 15.42/11.55 ((~(v170(constB97) <=> (v139(constB97) | v140(constB97)))) | (~v170(constB97)) | (v139(constB97) | v140(constB97))),
% 15.42/11.55 inference(tautology,[status(thm)],[])).
% 15.42/11.55 tff(31425,plain,
% 15.42/11.55 (~v170(constB97)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31424, 31423, 31404])).
% 15.42/11.55 tff(31426,plain,
% 15.42/11.55 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB97) | v170(constB97) | (~v169(constB97)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB97) | v170(constB97) | (~v169(constB97)))),
% 15.42/11.55 inference(rewrite,[status(thm)],[])).
% 15.42/11.55 tff(31427,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB97) | v170(constB97) | (~v169(constB97)))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31428,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB97) | v170(constB97) | (~v169(constB97))),
% 15.42/11.55 inference(modus_ponens,[status(thm)],[31427, 31426])).
% 15.42/11.55 tff(31429,plain,
% 15.42/11.55 (v141(constB97) | v170(constB97) | (~v169(constB97))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31428, 2278])).
% 15.42/11.55 tff(31430,plain,
% 15.42/11.55 (~v169(constB97)),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31429, 31425, 31402])).
% 15.42/11.55 tff(31431,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB97) <=> (v145(constB97) | v166(constB97)))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31432,plain,
% 15.42/11.55 (v165(constB97) <=> (v145(constB97) | v166(constB97))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31431, 2293])).
% 15.42/11.55 tff(31433,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB97) <=> (v142(constB97) | v167(constB97)))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31434,plain,
% 15.42/11.55 (v166(constB97) <=> (v142(constB97) | v167(constB97))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31433, 2804])).
% 15.42/11.55 tff(31435,plain,
% 15.42/11.55 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB97) <=> (v143(constB97) | v144(constB97)))),
% 15.42/11.55 inference(quant_inst,[status(thm)],[])).
% 15.42/11.55 tff(31436,plain,
% 15.42/11.55 (v142(constB97) <=> (v143(constB97) | v144(constB97))),
% 15.42/11.55 inference(unit_resolution,[status(thm)],[31435, 2813])).
% 15.42/11.55 tff(31437,plain,
% 15.42/11.55 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1))))))),
% 15.50/11.55 inference(rewrite,[status(thm)],[])).
% 15.50/11.55 tff(31438,plain,
% 15.50/11.55 ((v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2))))) <=> (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))))),
% 15.50/11.55 inference(rewrite,[status(thm)],[])).
% 15.50/11.55 tff(31439,plain,
% 15.50/11.55 (((~![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, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1))))))),
% 15.50/11.55 inference(monotonicity,[status(thm)],[31438])).
% 15.50/11.55 tff(31440,plain,
% 15.50/11.55 (((~![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, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1))))))),
% 15.50/11.55 inference(transitivity,[status(thm)],[31439, 31437])).
% 15.50/11.55 tff(31441,plain,
% 15.50/11.55 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))),
% 15.50/11.55 inference(quant_inst,[status(thm)],[])).
% 15.50/11.55 tff(31442,plain,
% 15.50/11.55 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))))),
% 15.50/11.55 inference(modus_ponens,[status(thm)],[31441, 31440])).
% 15.50/11.55 tff(31443,plain,
% 15.50/11.55 (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1))))),
% 15.50/11.55 inference(unit_resolution,[status(thm)],[31442, 2828])).
% 15.50/11.55 tff(31444,plain,
% 15.50/11.55 (((~![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)))),
% 15.50/11.55 inference(rewrite,[status(thm)],[])).
% 15.50/11.55 tff(31445,plain,
% 15.50/11.55 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0)))),
% 15.50/11.55 inference(quant_inst,[status(thm)],[])).
% 15.50/11.55 tff(31446,plain,
% 15.50/11.55 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0))),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31445, 31444])).
% 15.50/11.56 tff(31447,plain,
% 15.50/11.56 (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31446, 1275, 576])).
% 15.50/11.56 tff(31448,plain,
% 15.50/11.56 ((~(v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0))) | (~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31449,plain,
% 15.50/11.56 (~v88(constB97, bitIndex0)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31448, 14686, 31447])).
% 15.50/11.56 tff(31450,plain,
% 15.50/11.56 (((~![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)))),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31451,plain,
% 15.50/11.56 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1)))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31452,plain,
% 15.50/11.56 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1))),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31451, 31450])).
% 15.50/11.56 tff(31453,plain,
% 15.50/11.56 (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31452, 1288, 576])).
% 15.50/11.56 tff(31454,plain,
% 15.50/11.56 ((~(v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1))) | v88(constB97, bitIndex1) | (~v90(constB97, bitIndex1))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31455,plain,
% 15.50/11.56 (v88(constB97, bitIndex1)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31454, 14717, 31453])).
% 15.50/11.56 tff(31456,plain,
% 15.50/11.56 ((~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31457,plain,
% 15.50/11.56 (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31456, 31455, 31449, 31398])).
% 15.50/11.56 tff(31458,plain,
% 15.50/11.56 ((~(v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))))) | v144(constB97) | (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31459,plain,
% 15.50/11.56 (v144(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31458, 31457, 31443])).
% 15.50/11.56 tff(31460,plain,
% 15.50/11.56 ((v143(constB97) | v144(constB97)) | (~v144(constB97))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31461,plain,
% 15.50/11.56 (v143(constB97) | v144(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31460, 31459])).
% 15.50/11.56 tff(31462,plain,
% 15.50/11.56 ((~(v142(constB97) <=> (v143(constB97) | v144(constB97)))) | v142(constB97) | (~(v143(constB97) | v144(constB97)))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31463,plain,
% 15.50/11.56 (v142(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31462, 31461, 31436])).
% 15.50/11.56 tff(31464,plain,
% 15.50/11.56 ((v142(constB97) | v167(constB97)) | (~v142(constB97))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31465,plain,
% 15.50/11.56 (v142(constB97) | v167(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31464, 31463])).
% 15.50/11.56 tff(31466,plain,
% 15.50/11.56 ((~(v166(constB97) <=> (v142(constB97) | v167(constB97)))) | v166(constB97) | (~(v142(constB97) | v167(constB97)))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31467,plain,
% 15.50/11.56 (v166(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31466, 31465, 31434])).
% 15.50/11.56 tff(31468,plain,
% 15.50/11.56 ((v145(constB97) | v166(constB97)) | (~v166(constB97))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31469,plain,
% 15.50/11.56 (v145(constB97) | v166(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31468, 31467])).
% 15.50/11.56 tff(31470,plain,
% 15.50/11.56 ((~(v165(constB97) <=> (v145(constB97) | v166(constB97)))) | v165(constB97) | (~(v145(constB97) | v166(constB97)))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31471,plain,
% 15.50/11.56 (v165(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31470, 31469, 31432])).
% 15.50/11.56 tff(31472,plain,
% 15.50/11.56 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB97)) | (v162(constB97) <=> v169(constB97)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB97)) | (v162(constB97) <=> v169(constB97)))),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31473,plain,
% 15.50/11.56 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB97)) | (v162(constB97) <=> v169(constB97)))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31474,plain,
% 15.50/11.56 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB97)) | (v162(constB97) <=> v169(constB97))),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31473, 31472])).
% 15.50/11.56 tff(31475,plain,
% 15.50/11.56 ((~v165(constB97)) | (v162(constB97) <=> v169(constB97))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31474, 2426])).
% 15.50/11.56 tff(31476,plain,
% 15.50/11.56 (v162(constB97) <=> v169(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31475, 31471])).
% 15.50/11.56 tff(31477,plain,
% 15.50/11.56 ((~(v162(constB97) <=> v169(constB97))) | (~v162(constB97)) | v169(constB97)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31478,plain,
% 15.50/11.56 (~v162(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31477, 31476, 31430])).
% 15.50/11.56 tff(31479,plain,
% 15.50/11.56 ((~(v160(constB97) <=> v162(constB97))) | (~v160(constB97)) | v162(constB97)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31480,plain,
% 15.50/11.56 ((~(v160(constB97) <=> v162(constB97))) | (~v160(constB97))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31479, 31478])).
% 15.50/11.56 tff(31481,plain,
% 15.50/11.56 (~v160(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31480, 31390])).
% 15.50/11.56 tff(31482,plain,
% 15.50/11.56 (((~v184(constB97)) | (~v160(constB97))) | v160(constB97)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31483,plain,
% 15.50/11.56 ((~v184(constB97)) | (~v160(constB97))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31482, 31481])).
% 15.50/11.56 tff(31484,plain,
% 15.50/11.56 ((~(v187(constB97) <=> (~((~v184(constB97)) | (~v160(constB97)))))) | (~v187(constB97)) | (~((~v184(constB97)) | (~v160(constB97))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31485,plain,
% 15.50/11.56 (~v187(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31484, 31483, 31388])).
% 15.50/11.56 tff(31486,plain,
% 15.50/11.56 (((~v186(constB97)) | (~v187(constB97))) | v187(constB97)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31487,plain,
% 15.50/11.56 ((~v186(constB97)) | (~v187(constB97))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31486, 31485])).
% 15.50/11.56 tff(31488,plain,
% 15.50/11.56 ((~(v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97)))))) | (~v185(constB97)) | (~((~v186(constB97)) | (~v187(constB97))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31489,plain,
% 15.50/11.56 (~v185(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31488, 31487, 31386])).
% 15.50/11.56 tff(31490,plain,
% 15.50/11.56 ((~(v181(constB97) | v185(constB97))) | v181(constB97) | v185(constB97)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31491,plain,
% 15.50/11.56 (~(v181(constB97) | v185(constB97))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31490, 31489, 31384])).
% 15.50/11.56 tff(31492,plain,
% 15.50/11.56 ((~(v178(constB97) <=> (v181(constB97) | v185(constB97)))) | (~v178(constB97)) | (v181(constB97) | v185(constB97))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31493,plain,
% 15.50/11.56 (~v178(constB97)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31492, 31491, 31373])).
% 15.50/11.56 tff(31494,plain,
% 15.50/11.56 ((~(v180(constB98) <=> v178(constB97))) | (~v180(constB98)) | v178(constB97)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31495,plain,
% 15.50/11.56 (~v180(constB98)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31494, 31493, 31371])).
% 15.50/11.56 tff(31496,plain,
% 15.50/11.56 ((~(v158(constB98) <=> v180(constB98))) | (~v158(constB98)) | v180(constB98)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31497,plain,
% 15.50/11.56 (~v158(constB98)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31496, 31495, 31367])).
% 15.50/11.56 tff(31498,plain,
% 15.50/11.56 (((~v158(constB98)) | (~v182(constB98))) | v158(constB98)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31499,plain,
% 15.50/11.56 ((~v158(constB98)) | (~v182(constB98))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31498, 31497])).
% 15.50/11.56 tff(31500,plain,
% 15.50/11.56 ((~(v181(constB98) <=> (~((~v158(constB98)) | (~v182(constB98)))))) | (~v181(constB98)) | (~((~v158(constB98)) | (~v182(constB98))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31501,plain,
% 15.50/11.56 (~v181(constB98)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31500, 31499, 31365])).
% 15.50/11.56 tff(31502,plain,
% 15.50/11.56 ((~(v181(constB98) | v185(constB98))) | v181(constB98) | v185(constB98)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31503,plain,
% 15.50/11.56 (~(v181(constB98) | v185(constB98))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31502, 31501, 31358])).
% 15.50/11.56 tff(31504,plain,
% 15.50/11.56 ((~(v178(constB98) <=> (v181(constB98) | v185(constB98)))) | (~v178(constB98)) | (v181(constB98) | v185(constB98))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31505,plain,
% 15.50/11.56 (~v178(constB98)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31504, 31503, 31345])).
% 15.50/11.56 tff(31506,plain,
% 15.50/11.56 ((~(v180(constB99) <=> v178(constB98))) | (~v180(constB99)) | v178(constB98)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31507,plain,
% 15.50/11.56 (~v180(constB99)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31506, 31505, 31343])).
% 15.50/11.56 tff(31508,plain,
% 15.50/11.56 ((~(v158(constB99) <=> v180(constB99))) | (~v158(constB99)) | v180(constB99)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31509,plain,
% 15.50/11.56 (~v158(constB99)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31508, 31507, 31339])).
% 15.50/11.56 tff(31510,plain,
% 15.50/11.56 (((~v158(constB99)) | (~v206(constB99))) | v158(constB99)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31511,plain,
% 15.50/11.56 ((~v158(constB99)) | (~v206(constB99))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31510, 31509])).
% 15.50/11.56 tff(31512,plain,
% 15.50/11.56 ((~(v205(constB99) <=> (~((~v158(constB99)) | (~v206(constB99)))))) | (~v205(constB99)) | (~((~v158(constB99)) | (~v206(constB99))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31513,plain,
% 15.50/11.56 (~v205(constB99)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31512, 31511, 31337])).
% 15.50/11.56 tff(31514,plain,
% 15.50/11.56 ((~(v205(constB99) | v209(constB99))) | v205(constB99) | v209(constB99)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31515,plain,
% 15.50/11.56 (~(v205(constB99) | v209(constB99))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31514, 31513, 31330])).
% 15.50/11.56 tff(31516,plain,
% 15.50/11.56 ((~(v204(constB99) <=> (v205(constB99) | v209(constB99)))) | (~v204(constB99)) | (v205(constB99) | v209(constB99))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31517,plain,
% 15.50/11.56 (~v204(constB99)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31516, 31515, 30936])).
% 15.50/11.56 tff(31518,plain,
% 15.50/11.56 ($false),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31517, 30934])).
% 15.50/11.56 tff(31519,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.50/11.56 tff(31520,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 15.50/11.56 tff(31521,plain,
% 15.50/11.56 (v204(constB193) <=> v204(VarCurr!0)),
% 15.50/11.56 inference(monotonicity,[status(thm)],[31520])).
% 15.50/11.56 tff(31522,plain,
% 15.50/11.56 (v204(VarCurr!0) <=> v204(constB193)),
% 15.50/11.56 inference(symmetry,[status(thm)],[31521])).
% 15.50/11.56 tff(31523,plain,
% 15.50/11.56 (v204(constB193)),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[27, 31522])).
% 15.50/11.56 tff(31524,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB193) <=> (v205(constB193) | v209(constB193)))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31525,plain,
% 15.50/11.56 (v204(constB193) <=> (v205(constB193) | v209(constB193))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31524, 35])).
% 15.50/11.56 tff(31526,plain,
% 15.50/11.56 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193))))))),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31527,plain,
% 15.50/11.56 ((v209(constB193) <=> (~((~v206(constB193)) | (~v191(constB193))))) <=> (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193)))))),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31528,plain,
% 15.50/11.56 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v206(constB193)) | (~v191(constB193)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193))))))),
% 15.50/11.56 inference(monotonicity,[status(thm)],[31527])).
% 15.50/11.56 tff(31529,plain,
% 15.50/11.56 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v206(constB193)) | (~v191(constB193)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193))))))),
% 15.50/11.56 inference(transitivity,[status(thm)],[31528, 31526])).
% 15.50/11.56 tff(31530,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v206(constB193)) | (~v191(constB193)))))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31531,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193)))))),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31530, 31529])).
% 15.50/11.56 tff(31532,plain,
% 15.50/11.56 (v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193))))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31531, 47])).
% 15.50/11.56 tff(31533,plain,
% 15.50/11.56 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB193) <=> v196(constB193))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31534,plain,
% 15.50/11.56 (v191(constB193) <=> v196(constB193)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31533, 64])).
% 15.50/11.56 tff(31535,plain,
% 15.50/11.56 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31536,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192')).
% 15.50/11.56 tff(31537,plain,
% 15.50/11.56 (nextState(constB192, constB193)),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 15.50/11.56 tff(31538,plain,
% 15.50/11.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB192, constB193)) | (v196(constB193) <=> v194(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB192, constB193)) | (v196(constB193) <=> v194(constB192)))),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31539,plain,
% 15.50/11.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB192, constB193)) | (v196(constB193) <=> v194(constB192)))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31540,plain,
% 15.50/11.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB192, constB193)) | (v196(constB193) <=> v194(constB192))),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31539, 31538])).
% 15.50/11.56 tff(31541,plain,
% 15.50/11.56 (v196(constB193) <=> v194(constB192)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31540, 31537, 76])).
% 15.50/11.56 tff(31542,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB192) <=> (v197(constB192) | v198(constB192)))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31543,plain,
% 15.50/11.56 (v194(constB192) <=> (v197(constB192) | v198(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31542, 90])).
% 15.50/11.56 tff(31544,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB192) <=> (~((~v158(constB192)) | (~v199(constB192)))))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31545,plain,
% 15.50/11.56 (v198(constB192) <=> (~((~v158(constB192)) | (~v199(constB192))))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31544, 102])).
% 15.50/11.56 tff(31546,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB192) <=> (~((~v186(constB192)) | (~v200(constB192)))))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31547,plain,
% 15.50/11.56 (v199(constB192) <=> (~((~v186(constB192)) | (~v200(constB192))))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31546, 114])).
% 15.50/11.56 tff(31548,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB192) <=> (~((~v184(constB192)) | (~v84(constB192)))))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31549,plain,
% 15.50/11.56 (v200(constB192) <=> (~((~v184(constB192)) | (~v84(constB192))))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31548, 126])).
% 15.50/11.56 tff(31550,plain,
% 15.50/11.56 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31551,plain,
% 15.50/11.56 (v184(constB192) <=> (~((~v39(constB192)) | (~v9(constB192))))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31550, 138])).
% 15.50/11.56 tff(31552,plain,
% 15.50/11.56 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB192)) <=> v1(constB192))),
% 15.50/11.56 inference(quant_inst,[status(thm)],[])).
% 15.50/11.56 tff(31553,plain,
% 15.50/11.56 ((~v39(constB192)) <=> v1(constB192)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31552, 147])).
% 15.50/11.56 tff(31554,plain,
% 15.50/11.56 (v1(constB192) <=> v1(constB192)),
% 15.50/11.56 inference(rewrite,[status(thm)],[])).
% 15.50/11.56 tff(31555,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192')).
% 15.50/11.56 tff(31556,plain,
% 15.50/11.56 (v1(constB192)),
% 15.50/11.56 inference(modus_ponens,[status(thm)],[31555, 31554])).
% 15.50/11.56 tff(31557,plain,
% 15.50/11.56 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192)) | (~v1(constB192))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31558,plain,
% 15.50/11.56 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31557, 31556])).
% 15.50/11.56 tff(31559,plain,
% 15.50/11.56 (~v39(constB192)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31558, 31553])).
% 15.50/11.56 tff(31560,plain,
% 15.50/11.56 (((~v39(constB192)) | (~v9(constB192))) | v39(constB192)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31561,plain,
% 15.50/11.56 ((~v39(constB192)) | (~v9(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31560, 31559])).
% 15.50/11.56 tff(31562,plain,
% 15.50/11.56 ((~(v184(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v184(constB192)) | (~((~v39(constB192)) | (~v9(constB192))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31563,plain,
% 15.50/11.56 ((~(v184(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v184(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31562, 31561])).
% 15.50/11.56 tff(31564,plain,
% 15.50/11.56 (~v184(constB192)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31563, 31551])).
% 15.50/11.56 tff(31565,plain,
% 15.50/11.56 (((~v184(constB192)) | (~v84(constB192))) | v184(constB192)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31566,plain,
% 15.50/11.56 ((~v184(constB192)) | (~v84(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31565, 31564])).
% 15.50/11.56 tff(31567,plain,
% 15.50/11.56 ((~(v200(constB192) <=> (~((~v184(constB192)) | (~v84(constB192)))))) | (~v200(constB192)) | (~((~v184(constB192)) | (~v84(constB192))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31568,plain,
% 15.50/11.56 ((~(v200(constB192) <=> (~((~v184(constB192)) | (~v84(constB192)))))) | (~v200(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31567, 31566])).
% 15.50/11.56 tff(31569,plain,
% 15.50/11.56 (~v200(constB192)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31568, 31549])).
% 15.50/11.56 tff(31570,plain,
% 15.50/11.56 (((~v186(constB192)) | (~v200(constB192))) | v200(constB192)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31571,plain,
% 15.50/11.56 ((~v186(constB192)) | (~v200(constB192))),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31570, 31569])).
% 15.50/11.56 tff(31572,plain,
% 15.50/11.56 ((~(v199(constB192) <=> (~((~v186(constB192)) | (~v200(constB192)))))) | (~v199(constB192)) | (~((~v186(constB192)) | (~v200(constB192))))),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31573,plain,
% 15.50/11.56 (~v199(constB192)),
% 15.50/11.56 inference(unit_resolution,[status(thm)],[31572, 31571, 31547])).
% 15.50/11.56 tff(31574,plain,
% 15.50/11.56 (((~v158(constB192)) | (~v199(constB192))) | v199(constB192)),
% 15.50/11.56 inference(tautology,[status(thm)],[])).
% 15.50/11.56 tff(31575,plain,
% 15.50/11.56 ((~v158(constB192)) | (~v199(constB192))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31574, 31573])).
% 15.50/11.57 tff(31576,plain,
% 15.50/11.57 ((~(v198(constB192) <=> (~((~v158(constB192)) | (~v199(constB192)))))) | (~v198(constB192)) | (~((~v158(constB192)) | (~v199(constB192))))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31577,plain,
% 15.50/11.57 (~v198(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31576, 31575, 31545])).
% 15.50/11.57 tff(31578,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB192) <=> (~((~v182(constB192)) | (~v191(constB192)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31579,plain,
% 15.50/11.57 (v197(constB192) <=> (~((~v182(constB192)) | (~v191(constB192))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31578, 183])).
% 15.50/11.57 tff(31580,plain,
% 15.50/11.57 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB192) <=> v196(constB192))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31581,plain,
% 15.50/11.57 (v191(constB192) <=> v196(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31580, 64])).
% 15.50/11.57 tff(31582,plain,
% 15.50/11.57 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31583,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191')).
% 15.50/11.57 tff(31584,plain,
% 15.50/11.57 (nextState(constB191, constB192)),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31583, 31582])).
% 15.50/11.57 tff(31585,plain,
% 15.50/11.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB191, constB192)) | (v196(constB192) <=> v194(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB191, constB192)) | (v196(constB192) <=> v194(constB191)))),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31586,plain,
% 15.50/11.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB191, constB192)) | (v196(constB192) <=> v194(constB191)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31587,plain,
% 15.50/11.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB191, constB192)) | (v196(constB192) <=> v194(constB191))),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31586, 31585])).
% 15.50/11.57 tff(31588,plain,
% 15.50/11.57 (v196(constB192) <=> v194(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31587, 31584, 76])).
% 15.50/11.57 tff(31589,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB191) <=> (v197(constB191) | v198(constB191)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31590,plain,
% 15.50/11.57 (v194(constB191) <=> (v197(constB191) | v198(constB191))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31589, 90])).
% 15.50/11.57 tff(31591,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB191) <=> (~((~v182(constB191)) | (~v191(constB191)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31592,plain,
% 15.50/11.57 (v197(constB191) <=> (~((~v182(constB191)) | (~v191(constB191))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31591, 183])).
% 15.50/11.57 tff(31593,plain,
% 15.50/11.57 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB191)) <=> v183(constB191))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31594,plain,
% 15.50/11.57 ((~v182(constB191)) <=> v183(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31593, 205])).
% 15.50/11.57 tff(31595,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB191) <=> (v184(constB191) | v26(constB191)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31596,plain,
% 15.50/11.57 (v183(constB191) <=> (v184(constB191) | v26(constB191))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31595, 214])).
% 15.50/11.57 tff(31597,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31598,plain,
% 15.50/11.57 (v184(constB191) <=> (~((~v39(constB191)) | (~v9(constB191))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31597, 138])).
% 15.50/11.57 tff(31599,plain,
% 15.50/11.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31600,plain,
% 15.50/11.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31601,plain,
% 15.50/11.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191))),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31600, 31599])).
% 15.50/11.57 tff(31602,plain,
% 15.50/11.57 (v13(constB192) <=> v9(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31601, 31584, 228])).
% 15.50/11.57 tff(31603,plain,
% 15.50/11.57 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB192) <=> v13(constB192))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31604,plain,
% 15.50/11.57 (v6(constB192) <=> v13(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31603, 242])).
% 15.50/11.57 tff(31605,plain,
% 15.50/11.57 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB192)) <=> v6(constB192))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31606,plain,
% 15.50/11.57 ((~v21(constB192)) <=> v6(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31605, 251])).
% 15.50/11.57 tff(31607,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB192) <=> (v20(constB192) | v21(constB192)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31608,plain,
% 15.50/11.57 (v19(constB192) <=> (v20(constB192) | v21(constB192))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31607, 260])).
% 15.50/11.57 tff(31609,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31610,plain,
% 15.50/11.57 (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31609, 272])).
% 15.50/11.57 tff(31611,plain,
% 15.50/11.57 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB192)) <=> v18(constB192))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31612,plain,
% 15.50/11.57 ((~v4(constB192)) <=> v18(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31611, 281])).
% 15.50/11.57 tff(31613,plain,
% 15.50/11.57 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB192)),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31614,plain,
% 15.50/11.57 (v4(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31613, 290])).
% 15.50/11.57 tff(31615,plain,
% 15.50/11.57 ((~((~v4(constB192)) <=> v18(constB192))) | (~v4(constB192)) | (~v18(constB192))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31616,plain,
% 15.50/11.57 (~v18(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31615, 31614, 31612])).
% 15.50/11.57 tff(31617,plain,
% 15.50/11.57 ((~(v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))) | v18(constB192) | ((~v19(constB192)) | (~v22(constB192)))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31618,plain,
% 15.50/11.57 ((~v19(constB192)) | (~v22(constB192))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31617, 31616, 31610])).
% 15.50/11.57 tff(31619,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB192) <=> (v1(constB192) | v6(constB192)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31620,plain,
% 15.50/11.57 (v22(constB192) <=> (v1(constB192) | v6(constB192))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31619, 303])).
% 15.50/11.57 tff(31621,plain,
% 15.50/11.57 ((v1(constB192) | v6(constB192)) | (~v1(constB192))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31622,plain,
% 15.50/11.57 (v1(constB192) | v6(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31621, 31556])).
% 15.50/11.57 tff(31623,plain,
% 15.50/11.57 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192) | (~(v1(constB192) | v6(constB192)))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31624,plain,
% 15.50/11.57 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31623, 31622])).
% 15.50/11.57 tff(31625,plain,
% 15.50/11.57 (v22(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31624, 31620])).
% 15.50/11.57 tff(31626,plain,
% 15.50/11.57 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192)) | (~v22(constB192))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31627,plain,
% 15.50/11.57 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31626, 31625])).
% 15.50/11.57 tff(31628,plain,
% 15.50/11.57 (~v19(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31627, 31618])).
% 15.50/11.57 tff(31629,plain,
% 15.50/11.57 ((~(v19(constB192) <=> (v20(constB192) | v21(constB192)))) | v19(constB192) | (~(v20(constB192) | v21(constB192)))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31630,plain,
% 15.50/11.57 (~(v20(constB192) | v21(constB192))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31629, 31628, 31608])).
% 15.50/11.57 tff(31631,plain,
% 15.50/11.57 ((v20(constB192) | v21(constB192)) | (~v21(constB192))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31632,plain,
% 15.50/11.57 (~v21(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31631, 31630])).
% 15.50/11.57 tff(31633,plain,
% 15.50/11.57 ((~((~v21(constB192)) <=> v6(constB192))) | v21(constB192) | v6(constB192)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31634,plain,
% 15.50/11.57 (v6(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31633, 31632, 31606])).
% 15.50/11.57 tff(31635,plain,
% 15.50/11.57 ((~(v6(constB192) <=> v13(constB192))) | (~v6(constB192)) | v13(constB192)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31636,plain,
% 15.50/11.57 (v13(constB192)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31635, 31634, 31604])).
% 15.50/11.57 tff(31637,plain,
% 15.50/11.57 ((~(v13(constB192) <=> v9(constB191))) | (~v13(constB192)) | v9(constB191)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31638,plain,
% 15.50/11.57 (v9(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31637, 31636, 31602])).
% 15.50/11.57 tff(31639,plain,
% 15.50/11.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB191)) <=> v1(constB191))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31640,plain,
% 15.50/11.57 ((~v39(constB191)) <=> v1(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31639, 147])).
% 15.50/11.57 tff(31641,plain,
% 15.50/11.57 ((~v1(constB191)) <=> (~v1(constB191))),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31642,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191')).
% 15.50/11.57 tff(31643,plain,
% 15.50/11.57 (~v1(constB191)),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 15.50/11.57 tff(31644,plain,
% 15.50/11.57 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191) | v1(constB191)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31645,plain,
% 15.50/11.57 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31644, 31643])).
% 15.50/11.57 tff(31646,plain,
% 15.50/11.57 (v39(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31645, 31640])).
% 15.50/11.57 tff(31647,plain,
% 15.50/11.57 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v39(constB191)) | (~v9(constB191))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31648,plain,
% 15.50/11.57 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v9(constB191))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31647, 31646])).
% 15.50/11.57 tff(31649,plain,
% 15.50/11.57 (~((~v39(constB191)) | (~v9(constB191)))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31648, 31638])).
% 15.50/11.57 tff(31650,plain,
% 15.50/11.57 ((~(v184(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))) | v184(constB191) | ((~v39(constB191)) | (~v9(constB191)))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31651,plain,
% 15.50/11.57 (v184(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31650, 31649, 31598])).
% 15.50/11.57 tff(31652,plain,
% 15.50/11.57 ((v184(constB191) | v26(constB191)) | (~v184(constB191))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31653,plain,
% 15.50/11.57 (v184(constB191) | v26(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31652, 31651])).
% 15.50/11.57 tff(31654,plain,
% 15.50/11.57 ((~(v183(constB191) <=> (v184(constB191) | v26(constB191)))) | v183(constB191) | (~(v184(constB191) | v26(constB191)))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31655,plain,
% 15.50/11.57 (v183(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31654, 31653, 31596])).
% 15.50/11.57 tff(31656,plain,
% 15.50/11.57 ((~((~v182(constB191)) <=> v183(constB191))) | (~v182(constB191)) | (~v183(constB191))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31657,plain,
% 15.50/11.57 (~v182(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31656, 31655, 31594])).
% 15.50/11.57 tff(31658,plain,
% 15.50/11.57 (((~v182(constB191)) | (~v191(constB191))) | v182(constB191)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31659,plain,
% 15.50/11.57 ((~v182(constB191)) | (~v191(constB191))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31658, 31657])).
% 15.50/11.57 tff(31660,plain,
% 15.50/11.57 ((~(v197(constB191) <=> (~((~v182(constB191)) | (~v191(constB191)))))) | (~v197(constB191)) | (~((~v182(constB191)) | (~v191(constB191))))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31661,plain,
% 15.50/11.57 (~v197(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31660, 31659, 31592])).
% 15.50/11.57 tff(31662,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB191) <=> (~((~v158(constB191)) | (~v199(constB191)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31663,plain,
% 15.50/11.57 (v198(constB191) <=> (~((~v158(constB191)) | (~v199(constB191))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31662, 102])).
% 15.50/11.57 tff(31664,plain,
% 15.50/11.57 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB191) <=> v180(constB191))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31665,plain,
% 15.50/11.57 (v158(constB191) <=> v180(constB191)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31664, 358])).
% 15.50/11.57 tff(31666,plain,
% 15.50/11.57 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31667,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190')).
% 15.50/11.57 tff(31668,plain,
% 15.50/11.57 (nextState(constB190, constB191)),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 15.50/11.57 tff(31669,plain,
% 15.50/11.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190)))),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31670,plain,
% 15.50/11.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31671,plain,
% 15.50/11.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190))),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31670, 31669])).
% 15.50/11.57 tff(31672,plain,
% 15.50/11.57 (v180(constB191) <=> v178(constB190)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31671, 31668, 370])).
% 15.50/11.57 tff(31673,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB190) <=> (v181(constB190) | v185(constB190)))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31674,plain,
% 15.50/11.57 (v178(constB190) <=> (v181(constB190) | v185(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31673, 384])).
% 15.50/11.57 tff(31675,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB190) <=> (~((~v186(constB190)) | (~v187(constB190)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31676,plain,
% 15.50/11.57 (v185(constB190) <=> (~((~v186(constB190)) | (~v187(constB190))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31675, 396])).
% 15.50/11.57 tff(31677,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB190) <=> (~((~v184(constB190)) | (~v160(constB190)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31678,plain,
% 15.50/11.57 (v187(constB190) <=> (~((~v184(constB190)) | (~v160(constB190))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31677, 408])).
% 15.50/11.57 tff(31679,plain,
% 15.50/11.57 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31680,plain,
% 15.50/11.57 (v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190))))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31679, 138])).
% 15.50/11.57 tff(31681,plain,
% 15.50/11.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB190)) <=> v1(constB190))),
% 15.50/11.57 inference(quant_inst,[status(thm)],[])).
% 15.50/11.57 tff(31682,plain,
% 15.50/11.57 ((~v39(constB190)) <=> v1(constB190)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31681, 147])).
% 15.50/11.57 tff(31683,plain,
% 15.50/11.57 (v1(constB190) <=> v1(constB190)),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31684,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190')).
% 15.50/11.57 tff(31685,plain,
% 15.50/11.57 (v1(constB190)),
% 15.50/11.57 inference(modus_ponens,[status(thm)],[31684, 31683])).
% 15.50/11.57 tff(31686,plain,
% 15.50/11.57 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190)) | (~v1(constB190))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31687,plain,
% 15.50/11.57 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31686, 31685])).
% 15.50/11.57 tff(31688,plain,
% 15.50/11.57 (~v39(constB190)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31687, 31682])).
% 15.50/11.57 tff(31689,plain,
% 15.50/11.57 (((~v39(constB190)) | (~v9(constB190))) | v39(constB190)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31690,plain,
% 15.50/11.57 ((~v39(constB190)) | (~v9(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31689, 31688])).
% 15.50/11.57 tff(31691,plain,
% 15.50/11.57 ((~(v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v184(constB190)) | (~((~v39(constB190)) | (~v9(constB190))))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31692,plain,
% 15.50/11.57 ((~(v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v184(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31691, 31690])).
% 15.50/11.57 tff(31693,plain,
% 15.50/11.57 (~v184(constB190)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31692, 31680])).
% 15.50/11.57 tff(31694,plain,
% 15.50/11.57 (((~v184(constB190)) | (~v160(constB190))) | v184(constB190)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31695,plain,
% 15.50/11.57 ((~v184(constB190)) | (~v160(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31694, 31693])).
% 15.50/11.57 tff(31696,plain,
% 15.50/11.57 ((~(v187(constB190) <=> (~((~v184(constB190)) | (~v160(constB190)))))) | (~v187(constB190)) | (~((~v184(constB190)) | (~v160(constB190))))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31697,plain,
% 15.50/11.57 ((~(v187(constB190) <=> (~((~v184(constB190)) | (~v160(constB190)))))) | (~v187(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31696, 31695])).
% 15.50/11.57 tff(31698,plain,
% 15.50/11.57 (~v187(constB190)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31697, 31678])).
% 15.50/11.57 tff(31699,plain,
% 15.50/11.57 (((~v186(constB190)) | (~v187(constB190))) | v187(constB190)),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31700,plain,
% 15.50/11.57 ((~v186(constB190)) | (~v187(constB190))),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31699, 31698])).
% 15.50/11.57 tff(31701,plain,
% 15.50/11.57 ((~(v185(constB190) <=> (~((~v186(constB190)) | (~v187(constB190)))))) | (~v185(constB190)) | (~((~v186(constB190)) | (~v187(constB190))))),
% 15.50/11.57 inference(tautology,[status(thm)],[])).
% 15.50/11.57 tff(31702,plain,
% 15.50/11.57 (~v185(constB190)),
% 15.50/11.57 inference(unit_resolution,[status(thm)],[31701, 31700, 31676])).
% 15.50/11.57 tff(31703,plain,
% 15.50/11.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190))))))),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.57 tff(31704,plain,
% 15.50/11.57 ((v181(constB190) <=> (~((~v182(constB190)) | (~v158(constB190))))) <=> (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190)))))),
% 15.50/11.57 inference(rewrite,[status(thm)],[])).
% 15.50/11.58 tff(31705,plain,
% 15.50/11.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v182(constB190)) | (~v158(constB190)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190))))))),
% 15.50/11.58 inference(monotonicity,[status(thm)],[31704])).
% 15.50/11.58 tff(31706,plain,
% 15.50/11.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v182(constB190)) | (~v158(constB190)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190))))))),
% 15.50/11.58 inference(transitivity,[status(thm)],[31705, 31703])).
% 15.50/11.58 tff(31707,plain,
% 15.50/11.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v182(constB190)) | (~v158(constB190)))))),
% 15.50/11.58 inference(quant_inst,[status(thm)],[])).
% 15.50/11.58 tff(31708,plain,
% 15.50/11.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190)))))),
% 15.50/11.58 inference(modus_ponens,[status(thm)],[31707, 31706])).
% 15.50/11.58 tff(31709,plain,
% 15.50/11.58 (v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190))))),
% 15.50/11.58 inference(unit_resolution,[status(thm)],[31708, 444])).
% 15.50/11.58 tff(31710,plain,
% 15.50/11.58 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB190) <=> v180(constB190))),
% 15.50/11.58 inference(quant_inst,[status(thm)],[])).
% 15.50/11.58 tff(31711,plain,
% 15.50/11.58 (v158(constB190) <=> v180(constB190)),
% 15.50/11.58 inference(unit_resolution,[status(thm)],[31710, 358])).
% 15.50/11.58 tff(31712,plain,
% 15.50/11.58 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 15.50/11.58 inference(rewrite,[status(thm)],[])).
% 15.50/11.58 tff(31713,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189')).
% 15.50/11.58 tff(31714,plain,
% 15.50/11.58 (nextState(constB189, constB190)),
% 15.50/11.58 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 15.50/11.58 tff(31715,plain,
% 15.50/11.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189)))),
% 15.50/11.58 inference(rewrite,[status(thm)],[])).
% 15.50/11.58 tff(31716,plain,
% 15.50/11.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189)))),
% 15.50/11.58 inference(quant_inst,[status(thm)],[])).
% 15.50/11.58 tff(31717,plain,
% 15.50/11.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189))),
% 15.50/11.58 inference(modus_ponens,[status(thm)],[31716, 31715])).
% 15.50/11.58 tff(31718,plain,
% 15.50/11.58 (v180(constB190) <=> v178(constB189)),
% 15.50/11.58 inference(unit_resolution,[status(thm)],[31717, 31714, 370])).
% 15.50/11.58 tff(31719,plain,
% 15.50/11.58 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB189) <=> (v181(constB189) | v185(constB189)))),
% 15.50/11.58 inference(quant_inst,[status(thm)],[])).
% 15.50/11.58 tff(31720,plain,
% 15.50/11.58 (v178(constB189) <=> (v181(constB189) | v185(constB189))),
% 15.50/11.58 inference(unit_resolution,[status(thm)],[31719, 384])).
% 15.50/11.58 tff(31721,plain,
% 15.50/11.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189))))))),
% 15.50/11.58 inference(rewrite,[status(thm)],[])).
% 15.50/11.58 tff(31722,plain,
% 15.50/11.58 ((v181(constB189) <=> (~((~v182(constB189)) | (~v158(constB189))))) <=> (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189)))))),
% 15.50/11.58 inference(rewrite,[status(thm)],[])).
% 15.50/11.58 tff(31723,plain,
% 15.50/11.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v182(constB189)) | (~v158(constB189)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189))))))),
% 15.52/11.58 inference(monotonicity,[status(thm)],[31722])).
% 15.52/11.58 tff(31724,plain,
% 15.52/11.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v182(constB189)) | (~v158(constB189)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189))))))),
% 15.52/11.58 inference(transitivity,[status(thm)],[31723, 31721])).
% 15.52/11.58 tff(31725,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v182(constB189)) | (~v158(constB189)))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31726,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189)))))),
% 15.52/11.58 inference(modus_ponens,[status(thm)],[31725, 31724])).
% 15.52/11.58 tff(31727,plain,
% 15.52/11.58 (v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31726, 444])).
% 15.52/11.58 tff(31728,plain,
% 15.52/11.58 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB189)) <=> v183(constB189))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31729,plain,
% 15.52/11.58 ((~v182(constB189)) <=> v183(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31728, 205])).
% 15.52/11.58 tff(31730,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB189) <=> (v184(constB189) | v26(constB189)))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31731,plain,
% 15.52/11.58 (v183(constB189) <=> (v184(constB189) | v26(constB189))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31730, 214])).
% 15.52/11.58 tff(31732,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31733,plain,
% 15.52/11.58 (v184(constB189) <=> (~((~v39(constB189)) | (~v9(constB189))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31732, 138])).
% 15.52/11.58 tff(31734,plain,
% 15.52/11.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 15.52/11.58 inference(rewrite,[status(thm)],[])).
% 15.52/11.58 tff(31735,plain,
% 15.52/11.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31736,plain,
% 15.52/11.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189))),
% 15.52/11.58 inference(modus_ponens,[status(thm)],[31735, 31734])).
% 15.52/11.58 tff(31737,plain,
% 15.52/11.58 (v13(constB190) <=> v9(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31736, 31714, 228])).
% 15.52/11.58 tff(31738,plain,
% 15.52/11.58 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB190) <=> v13(constB190))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31739,plain,
% 15.52/11.58 (v6(constB190) <=> v13(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31738, 242])).
% 15.52/11.58 tff(31740,plain,
% 15.52/11.58 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB190)) <=> v6(constB190))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31741,plain,
% 15.52/11.58 ((~v21(constB190)) <=> v6(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31740, 251])).
% 15.52/11.58 tff(31742,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB190) <=> (v20(constB190) | v21(constB190)))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31743,plain,
% 15.52/11.58 (v19(constB190) <=> (v20(constB190) | v21(constB190))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31742, 260])).
% 15.52/11.58 tff(31744,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31745,plain,
% 15.52/11.58 (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31744, 272])).
% 15.52/11.58 tff(31746,plain,
% 15.52/11.58 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB190)) <=> v18(constB190))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31747,plain,
% 15.52/11.58 ((~v4(constB190)) <=> v18(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31746, 281])).
% 15.52/11.58 tff(31748,plain,
% 15.52/11.58 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB190)),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31749,plain,
% 15.52/11.58 (v4(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31748, 290])).
% 15.52/11.58 tff(31750,plain,
% 15.52/11.58 ((~((~v4(constB190)) <=> v18(constB190))) | (~v4(constB190)) | (~v18(constB190))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31751,plain,
% 15.52/11.58 (~v18(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31750, 31749, 31747])).
% 15.52/11.58 tff(31752,plain,
% 15.52/11.58 ((~(v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))) | v18(constB190) | ((~v19(constB190)) | (~v22(constB190)))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31753,plain,
% 15.52/11.58 ((~v19(constB190)) | (~v22(constB190))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31752, 31751, 31745])).
% 15.52/11.58 tff(31754,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB190) <=> (v1(constB190) | v6(constB190)))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31755,plain,
% 15.52/11.58 (v22(constB190) <=> (v1(constB190) | v6(constB190))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31754, 303])).
% 15.52/11.58 tff(31756,plain,
% 15.52/11.58 ((v1(constB190) | v6(constB190)) | (~v1(constB190))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31757,plain,
% 15.52/11.58 (v1(constB190) | v6(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31756, 31685])).
% 15.52/11.58 tff(31758,plain,
% 15.52/11.58 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190) | (~(v1(constB190) | v6(constB190)))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31759,plain,
% 15.52/11.58 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31758, 31757])).
% 15.52/11.58 tff(31760,plain,
% 15.52/11.58 (v22(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31759, 31755])).
% 15.52/11.58 tff(31761,plain,
% 15.52/11.58 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190)) | (~v22(constB190))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31762,plain,
% 15.52/11.58 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31761, 31760])).
% 15.52/11.58 tff(31763,plain,
% 15.52/11.58 (~v19(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31762, 31753])).
% 15.52/11.58 tff(31764,plain,
% 15.52/11.58 ((~(v19(constB190) <=> (v20(constB190) | v21(constB190)))) | v19(constB190) | (~(v20(constB190) | v21(constB190)))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31765,plain,
% 15.52/11.58 (~(v20(constB190) | v21(constB190))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31764, 31763, 31743])).
% 15.52/11.58 tff(31766,plain,
% 15.52/11.58 ((v20(constB190) | v21(constB190)) | (~v21(constB190))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31767,plain,
% 15.52/11.58 (~v21(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31766, 31765])).
% 15.52/11.58 tff(31768,plain,
% 15.52/11.58 ((~((~v21(constB190)) <=> v6(constB190))) | v21(constB190) | v6(constB190)),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31769,plain,
% 15.52/11.58 (v6(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31768, 31767, 31741])).
% 15.52/11.58 tff(31770,plain,
% 15.52/11.58 ((~(v6(constB190) <=> v13(constB190))) | (~v6(constB190)) | v13(constB190)),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31771,plain,
% 15.52/11.58 (v13(constB190)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31770, 31769, 31739])).
% 15.52/11.58 tff(31772,plain,
% 15.52/11.58 ((~(v13(constB190) <=> v9(constB189))) | (~v13(constB190)) | v9(constB189)),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31773,plain,
% 15.52/11.58 (v9(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31772, 31771, 31737])).
% 15.52/11.58 tff(31774,plain,
% 15.52/11.58 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB189)) <=> v1(constB189))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31775,plain,
% 15.52/11.58 ((~v39(constB189)) <=> v1(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31774, 147])).
% 15.52/11.58 tff(31776,plain,
% 15.52/11.58 ((~v1(constB189)) <=> (~v1(constB189))),
% 15.52/11.58 inference(rewrite,[status(thm)],[])).
% 15.52/11.58 tff(31777,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189')).
% 15.52/11.58 tff(31778,plain,
% 15.52/11.58 (~v1(constB189)),
% 15.52/11.58 inference(modus_ponens,[status(thm)],[31777, 31776])).
% 15.52/11.58 tff(31779,plain,
% 15.52/11.58 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189) | v1(constB189)),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31780,plain,
% 15.52/11.58 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31779, 31778])).
% 15.52/11.58 tff(31781,plain,
% 15.52/11.58 (v39(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31780, 31775])).
% 15.52/11.58 tff(31782,plain,
% 15.52/11.58 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v39(constB189)) | (~v9(constB189))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31783,plain,
% 15.52/11.58 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v9(constB189))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31782, 31781])).
% 15.52/11.58 tff(31784,plain,
% 15.52/11.58 (~((~v39(constB189)) | (~v9(constB189)))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31783, 31773])).
% 15.52/11.58 tff(31785,plain,
% 15.52/11.58 ((~(v184(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))) | v184(constB189) | ((~v39(constB189)) | (~v9(constB189)))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31786,plain,
% 15.52/11.58 (v184(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31785, 31784, 31733])).
% 15.52/11.58 tff(31787,plain,
% 15.52/11.58 ((v184(constB189) | v26(constB189)) | (~v184(constB189))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31788,plain,
% 15.52/11.58 (v184(constB189) | v26(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31787, 31786])).
% 15.52/11.58 tff(31789,plain,
% 15.52/11.58 ((~(v183(constB189) <=> (v184(constB189) | v26(constB189)))) | v183(constB189) | (~(v184(constB189) | v26(constB189)))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31790,plain,
% 15.52/11.58 (v183(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31789, 31788, 31731])).
% 15.52/11.58 tff(31791,plain,
% 15.52/11.58 ((~((~v182(constB189)) <=> v183(constB189))) | (~v182(constB189)) | (~v183(constB189))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31792,plain,
% 15.52/11.58 (~v182(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31791, 31790, 31729])).
% 15.52/11.58 tff(31793,plain,
% 15.52/11.58 (((~v158(constB189)) | (~v182(constB189))) | v182(constB189)),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31794,plain,
% 15.52/11.58 ((~v158(constB189)) | (~v182(constB189))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31793, 31792])).
% 15.52/11.58 tff(31795,plain,
% 15.52/11.58 ((~(v181(constB189) <=> (~((~v158(constB189)) | (~v182(constB189)))))) | (~v181(constB189)) | (~((~v158(constB189)) | (~v182(constB189))))),
% 15.52/11.58 inference(tautology,[status(thm)],[])).
% 15.52/11.58 tff(31796,plain,
% 15.52/11.58 (~v181(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31795, 31794, 31727])).
% 15.52/11.58 tff(31797,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB189) <=> (~((~v186(constB189)) | (~v187(constB189)))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31798,plain,
% 15.52/11.58 (v185(constB189) <=> (~((~v186(constB189)) | (~v187(constB189))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31797, 396])).
% 15.52/11.58 tff(31799,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB189) <=> (~((~v184(constB189)) | (~v160(constB189)))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31800,plain,
% 15.52/11.58 (v187(constB189) <=> (~((~v184(constB189)) | (~v160(constB189))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31799, 408])).
% 15.52/11.58 tff(31801,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB189) <=> v162(constB189))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31802,plain,
% 15.52/11.58 (v160(constB189) <=> v162(constB189)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31801, 549])).
% 15.52/11.58 tff(31803,plain,
% 15.52/11.58 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | (~v88(constB189, bitIndex0)))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31804,plain,
% 15.52/11.58 (v141(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | (~v88(constB189, bitIndex0))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31803, 564])).
% 15.52/11.58 tff(31805,plain,
% 15.52/11.58 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)))),
% 15.52/11.58 inference(rewrite,[status(thm)],[])).
% 15.52/11.58 tff(31806,plain,
% 15.52/11.58 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31807,plain,
% 15.52/11.58 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2))),
% 15.52/11.58 inference(modus_ponens,[status(thm)],[31806, 31805])).
% 15.52/11.58 tff(31808,plain,
% 15.52/11.58 (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31807, 579, 576])).
% 15.52/11.58 tff(31809,plain,
% 15.52/11.58 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 15.52/11.58 inference(rewrite,[status(thm)],[])).
% 15.52/11.58 tff(31810,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188')).
% 15.52/11.58 tff(31811,plain,
% 15.52/11.58 (nextState(constB188, constB189)),
% 15.52/11.58 inference(modus_ponens,[status(thm)],[31810, 31809])).
% 15.52/11.58 tff(31812,plain,
% 15.52/11.58 (((~![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))))))),
% 15.52/11.58 inference(rewrite,[status(thm)],[])).
% 15.52/11.58 tff(31813,plain,
% 15.52/11.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 15.52/11.58 inference(quant_inst,[status(thm)],[])).
% 15.52/11.58 tff(31814,plain,
% 15.52/11.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))),
% 15.52/11.58 inference(modus_ponens,[status(thm)],[31813, 31812])).
% 15.52/11.58 tff(31815,plain,
% 15.52/11.58 (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))),
% 15.52/11.58 inference(unit_resolution,[status(thm)],[31814, 31811, 596])).
% 15.52/11.58 tff(31816,plain,
% 15.52/11.58 (((~![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))))))),
% 15.52/11.58 inference(rewrite,[status(thm)],[])).
% 15.52/11.58 tff(31817,plain,
% 15.52/11.58 (((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31818,plain,
% 15.52/11.59 (((~![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)))))))),
% 15.52/11.59 inference(monotonicity,[status(thm)],[31817])).
% 15.52/11.59 tff(31819,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.59 inference(transitivity,[status(thm)],[31818, 31816])).
% 15.52/11.59 tff(31820,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31821,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31820, 31819])).
% 15.52/11.59 tff(31822,plain,
% 15.52/11.59 (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31821, 31811, 616])).
% 15.52/11.59 tff(31823,plain,
% 15.52/11.59 (((~v1(constB189)) | (~v102(constB189))) | v1(constB189)),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31824,plain,
% 15.52/11.59 ((~v1(constB189)) | (~v102(constB189))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31823, 31778])).
% 15.52/11.59 tff(31825,plain,
% 15.52/11.59 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189)) | (~((~v1(constB189)) | (~v102(constB189))))),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31826,plain,
% 15.52/11.59 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31825, 31824])).
% 15.52/11.59 tff(31827,plain,
% 15.52/11.59 (~v101(constB189)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31826, 31822])).
% 15.52/11.59 tff(31828,plain,
% 15.52/11.59 (((~v101(constB189)) | (~v110(constB189))) | v101(constB189)),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31829,plain,
% 15.52/11.59 ((~v101(constB189)) | (~v110(constB189))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31828, 31827])).
% 15.52/11.59 tff(31830,plain,
% 15.52/11.59 ((~(v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))) | (~v100(constB189)) | (~((~v101(constB189)) | (~v110(constB189))))),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31831,plain,
% 15.52/11.59 (~v100(constB189)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31830, 31829, 31815])).
% 15.52/11.59 tff(31832,plain,
% 15.52/11.59 (((~![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))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31833,plain,
% 15.52/11.59 ((~![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))))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31834,plain,
% 15.52/11.59 ((~![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)))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 15.52/11.59 tff(31835,plain,
% 15.52/11.59 (v100(constB189) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31834, 31811, 645])).
% 15.52/11.59 tff(31836,plain,
% 15.52/11.59 (![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31835, 31831])).
% 15.52/11.59 tff(31837,plain,
% 15.52/11.59 (((~![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)))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31838,plain,
% 15.52/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31839,plain,
% 15.52/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 15.52/11.59 tff(31840,plain,
% 15.52/11.59 (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31839, 579, 31836])).
% 15.52/11.59 tff(31841,plain,
% 15.52/11.59 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31842,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187')).
% 15.52/11.59 tff(31843,plain,
% 15.52/11.59 (nextState(constB187, constB188)),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31842, 31841])).
% 15.52/11.59 tff(31844,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31845,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31846,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31845, 31844])).
% 15.52/11.59 tff(31847,plain,
% 15.52/11.59 (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31846, 31843, 596])).
% 15.52/11.59 tff(31848,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31849,plain,
% 15.52/11.59 (((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31850,plain,
% 15.52/11.59 (((~![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)))))))),
% 15.52/11.59 inference(monotonicity,[status(thm)],[31849])).
% 15.52/11.59 tff(31851,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.59 inference(transitivity,[status(thm)],[31850, 31848])).
% 15.52/11.59 tff(31852,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31853,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 15.52/11.59 tff(31854,plain,
% 15.52/11.59 (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31853, 31843, 616])).
% 15.52/11.59 tff(31855,plain,
% 15.52/11.59 (((~![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)))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31856,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31857,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31856, 31855])).
% 15.52/11.59 tff(31858,plain,
% 15.52/11.59 ((~v102(constB188)) <=> v104(constB188)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31857, 31843, 678])).
% 15.52/11.59 tff(31859,plain,
% 15.52/11.59 (((~![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)))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31860,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31861,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31860, 31859])).
% 15.52/11.59 tff(31862,plain,
% 15.52/11.59 (v104(constB188) <=> v1(constB187)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31861, 31843, 692])).
% 15.52/11.59 tff(31863,plain,
% 15.52/11.59 ((~v1(constB187)) <=> (~v1(constB187))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31864,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187')).
% 15.52/11.59 tff(31865,plain,
% 15.52/11.59 (~v1(constB187)),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 15.52/11.59 tff(31866,plain,
% 15.52/11.59 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188)) | v1(constB187)),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31867,plain,
% 15.52/11.59 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31866, 31865])).
% 15.52/11.59 tff(31868,plain,
% 15.52/11.59 (~v104(constB188)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31867, 31862])).
% 15.52/11.59 tff(31869,plain,
% 15.52/11.59 ((~((~v102(constB188)) <=> v104(constB188))) | v102(constB188) | v104(constB188)),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31870,plain,
% 15.52/11.59 (v102(constB188)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31869, 31868, 31858])).
% 15.52/11.59 tff(31871,plain,
% 15.52/11.59 (v1(constB188) <=> v1(constB188)),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31872,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188')).
% 15.52/11.59 tff(31873,plain,
% 15.52/11.59 (v1(constB188)),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31872, 31871])).
% 15.52/11.59 tff(31874,plain,
% 15.52/11.59 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v1(constB188)) | (~v102(constB188))),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31875,plain,
% 15.52/11.59 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v102(constB188))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31874, 31873])).
% 15.52/11.59 tff(31876,plain,
% 15.52/11.59 (~((~v1(constB188)) | (~v102(constB188)))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31875, 31870])).
% 15.52/11.59 tff(31877,plain,
% 15.52/11.59 ((~(v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))) | v101(constB188) | ((~v1(constB188)) | (~v102(constB188)))),
% 15.52/11.59 inference(tautology,[status(thm)],[])).
% 15.52/11.59 tff(31878,plain,
% 15.52/11.59 (v101(constB188)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31877, 31876, 31854])).
% 15.52/11.59 tff(31879,plain,
% 15.52/11.59 (((~![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)))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31880,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31881,plain,
% 15.52/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187))),
% 15.52/11.59 inference(modus_ponens,[status(thm)],[31880, 31879])).
% 15.52/11.59 tff(31882,plain,
% 15.52/11.59 (v110(constB188) <=> v108(constB187)),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31881, 31843, 722])).
% 15.52/11.59 tff(31883,plain,
% 15.52/11.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB187) <=> (v111(constB187) | v112(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31884,plain,
% 15.52/11.59 (v108(constB187) <=> (v111(constB187) | v112(constB187))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31883, 733])).
% 15.52/11.59 tff(31885,plain,
% 15.52/11.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31886,plain,
% 15.52/11.59 (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187))))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31885, 745])).
% 15.52/11.59 tff(31887,plain,
% 15.52/11.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB187) <=> (v114(constB187) | v125(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31888,plain,
% 15.52/11.59 (v113(constB187) <=> (v114(constB187) | v125(constB187))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31887, 754])).
% 15.52/11.59 tff(31889,plain,
% 15.52/11.59 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB187) <=> (v115(constB187) | v124(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31890,plain,
% 15.52/11.59 (v114(constB187) <=> (v115(constB187) | v124(constB187))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31889, 763])).
% 15.52/11.59 tff(31891,plain,
% 15.52/11.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB187) <=> (v116(constB187) | v123(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31892,plain,
% 15.52/11.59 (v115(constB187) <=> (v116(constB187) | v123(constB187))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31891, 772])).
% 15.52/11.59 tff(31893,plain,
% 15.52/11.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB187) <=> (v117(constB187) | v122(constB187)))),
% 15.52/11.59 inference(quant_inst,[status(thm)],[])).
% 15.52/11.59 tff(31894,plain,
% 15.52/11.59 (v116(constB187) <=> (v117(constB187) | v122(constB187))),
% 15.52/11.59 inference(unit_resolution,[status(thm)],[31893, 885])).
% 15.52/11.59 tff(31895,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31896,plain,
% 15.52/11.59 ((v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1))))) <=> (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))),
% 15.52/11.59 inference(rewrite,[status(thm)],[])).
% 15.52/11.59 tff(31897,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.59 inference(monotonicity,[status(thm)],[31896])).
% 15.52/11.59 tff(31898,plain,
% 15.52/11.59 (((~![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))))))),
% 15.52/11.60 inference(transitivity,[status(thm)],[31897, 31895])).
% 15.52/11.60 tff(31899,plain,
% 15.52/11.60 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31900,plain,
% 15.52/11.60 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31899, 31898])).
% 15.52/11.60 tff(31901,plain,
% 15.52/11.60 (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31900, 900])).
% 15.52/11.60 tff(31902,plain,
% 15.52/11.60 (((~![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))))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31903,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31904,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31903, 31902])).
% 15.52/11.60 tff(31905,plain,
% 15.52/11.60 (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31904, 27325, 596])).
% 15.52/11.60 tff(31906,plain,
% 15.52/11.60 (((~![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))))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31907,plain,
% 15.52/11.60 (((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31908,plain,
% 15.52/11.60 (((~![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)))))))),
% 15.52/11.60 inference(monotonicity,[status(thm)],[31907])).
% 15.52/11.60 tff(31909,plain,
% 15.52/11.60 (((~![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))))))),
% 15.52/11.60 inference(transitivity,[status(thm)],[31908, 31906])).
% 15.52/11.60 tff(31910,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31911,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31910, 31909])).
% 15.52/11.60 tff(31912,plain,
% 15.52/11.60 (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31911, 27325, 616])).
% 15.52/11.60 tff(31913,plain,
% 15.52/11.60 (((~v1(constB187)) | (~v102(constB187))) | v1(constB187)),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31914,plain,
% 15.52/11.60 ((~v1(constB187)) | (~v102(constB187))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31913, 31865])).
% 15.52/11.60 tff(31915,plain,
% 15.52/11.60 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187)) | (~((~v1(constB187)) | (~v102(constB187))))),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31916,plain,
% 15.52/11.60 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31915, 31914])).
% 15.52/11.60 tff(31917,plain,
% 15.52/11.60 (~v101(constB187)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31916, 31912])).
% 15.52/11.60 tff(31918,plain,
% 15.52/11.60 (((~v101(constB187)) | (~v110(constB187))) | v101(constB187)),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31919,plain,
% 15.52/11.60 ((~v101(constB187)) | (~v110(constB187))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31918, 31917])).
% 15.52/11.60 tff(31920,plain,
% 15.52/11.60 ((~(v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))) | (~v100(constB187)) | (~((~v101(constB187)) | (~v110(constB187))))),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31921,plain,
% 15.52/11.60 (~v100(constB187)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31920, 31919, 31905])).
% 15.52/11.60 tff(31922,plain,
% 15.52/11.60 (((~![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))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31923,plain,
% 15.52/11.60 ((~![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))))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31924,plain,
% 15.52/11.60 ((~![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)))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31923, 31922])).
% 15.52/11.60 tff(31925,plain,
% 15.52/11.60 (v100(constB187) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31924, 27325, 645])).
% 15.52/11.60 tff(31926,plain,
% 15.52/11.60 (![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31925, 31921])).
% 15.52/11.60 tff(31927,plain,
% 15.52/11.60 (((~![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)))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31928,plain,
% 15.52/11.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31929,plain,
% 15.52/11.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31928, 31927])).
% 15.52/11.60 tff(31930,plain,
% 15.52/11.60 (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31929, 579, 31926])).
% 15.52/11.60 tff(31931,plain,
% 15.52/11.60 (((~![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))))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31932,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31933,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31932, 31931])).
% 15.52/11.60 tff(31934,plain,
% 15.52/11.60 (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31933, 27372, 596])).
% 15.52/11.60 tff(31935,plain,
% 15.52/11.60 (((~![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))))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31936,plain,
% 15.52/11.60 (((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31937,plain,
% 15.52/11.60 (((~![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)))))))),
% 15.52/11.60 inference(monotonicity,[status(thm)],[31936])).
% 15.52/11.60 tff(31938,plain,
% 15.52/11.60 (((~![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))))))),
% 15.52/11.60 inference(transitivity,[status(thm)],[31937, 31935])).
% 15.52/11.60 tff(31939,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31940,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 15.52/11.60 tff(31941,plain,
% 15.52/11.60 (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31940, 27372, 616])).
% 15.52/11.60 tff(31942,plain,
% 15.52/11.60 (((~![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)))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31943,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31944,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31943, 31942])).
% 15.52/11.60 tff(31945,plain,
% 15.52/11.60 ((~v102(constB186)) <=> v104(constB186)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31944, 27372, 678])).
% 15.52/11.60 tff(31946,plain,
% 15.52/11.60 (((~![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)))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31947,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31948,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185))),
% 15.52/11.60 inference(modus_ponens,[status(thm)],[31947, 31946])).
% 15.52/11.60 tff(31949,plain,
% 15.52/11.60 (v104(constB186) <=> v1(constB185)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31948, 27372, 692])).
% 15.52/11.60 tff(31950,plain,
% 15.52/11.60 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186)) | v1(constB185)),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31951,plain,
% 15.52/11.60 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31950, 27431])).
% 15.52/11.60 tff(31952,plain,
% 15.52/11.60 (~v104(constB186)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31951, 31949])).
% 15.52/11.60 tff(31953,plain,
% 15.52/11.60 ((~((~v102(constB186)) <=> v104(constB186))) | v102(constB186) | v104(constB186)),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31954,plain,
% 15.52/11.60 (v102(constB186)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31953, 31952, 31945])).
% 15.52/11.60 tff(31955,plain,
% 15.52/11.60 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v1(constB186)) | (~v102(constB186))),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31956,plain,
% 15.52/11.60 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v102(constB186))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31955, 27344])).
% 15.52/11.60 tff(31957,plain,
% 15.52/11.60 (~((~v1(constB186)) | (~v102(constB186)))),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31956, 31954])).
% 15.52/11.60 tff(31958,plain,
% 15.52/11.60 ((~(v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))) | v101(constB186) | ((~v1(constB186)) | (~v102(constB186)))),
% 15.52/11.60 inference(tautology,[status(thm)],[])).
% 15.52/11.60 tff(31959,plain,
% 15.52/11.60 (v101(constB186)),
% 15.52/11.60 inference(unit_resolution,[status(thm)],[31958, 31957, 31941])).
% 15.52/11.60 tff(31960,plain,
% 15.52/11.60 (((~![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)))),
% 15.52/11.60 inference(rewrite,[status(thm)],[])).
% 15.52/11.60 tff(31961,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 15.52/11.60 inference(quant_inst,[status(thm)],[])).
% 15.52/11.60 tff(31962,plain,
% 15.52/11.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185))),
% 15.52/11.61 inference(modus_ponens,[status(thm)],[31961, 31960])).
% 15.52/11.61 tff(31963,plain,
% 15.52/11.61 (v110(constB186) <=> v108(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31962, 27372, 722])).
% 15.52/11.61 tff(31964,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB185) <=> (v111(constB185) | v112(constB185)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31965,plain,
% 15.52/11.61 (v108(constB185) <=> (v111(constB185) | v112(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31964, 733])).
% 15.52/11.61 tff(31966,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31967,plain,
% 15.52/11.61 (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185))))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31966, 745])).
% 15.52/11.61 tff(31968,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB185) <=> (v114(constB185) | v125(constB185)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31969,plain,
% 15.52/11.61 (v113(constB185) <=> (v114(constB185) | v125(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31968, 754])).
% 15.52/11.61 tff(31970,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB185) <=> (v115(constB185) | v124(constB185)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31971,plain,
% 15.52/11.61 (v114(constB185) <=> (v115(constB185) | v124(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31970, 763])).
% 15.52/11.61 tff(31972,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB185) <=> (v116(constB185) | v123(constB185)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31973,plain,
% 15.52/11.61 (v115(constB185) <=> (v116(constB185) | v123(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31972, 772])).
% 15.52/11.61 tff(31974,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB185) <=> (v117(constB185) | v122(constB185)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31975,plain,
% 15.52/11.61 (v116(constB185) <=> (v117(constB185) | v122(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31974, 885])).
% 15.52/11.61 tff(31976,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB185) <=> (v118(constB185) | v121(constB185)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31977,plain,
% 15.52/11.61 (v117(constB185) <=> (v118(constB185) | v121(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31976, 1000])).
% 15.52/11.61 tff(31978,plain,
% 15.52/11.61 (((~![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)))))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(31979,plain,
% 15.52/11.61 ((v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1))))) <=> (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(31980,plain,
% 15.52/11.61 (((~![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)))))),
% 15.52/11.61 inference(monotonicity,[status(thm)],[31979])).
% 15.52/11.61 tff(31981,plain,
% 15.52/11.61 (((~![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)))))),
% 15.52/11.61 inference(transitivity,[status(thm)],[31980, 31978])).
% 15.52/11.61 tff(31982,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(31983,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 15.52/11.61 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 15.52/11.61 tff(31984,plain,
% 15.52/11.61 (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31983, 1015])).
% 15.52/11.61 tff(31985,plain,
% 15.52/11.61 ((~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31986,plain,
% 15.52/11.61 (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31985, 29530, 29485, 29599])).
% 15.52/11.61 tff(31987,plain,
% 15.52/11.61 ((~(v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) | v121(constB185) | (v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31988,plain,
% 15.52/11.61 (v121(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31987, 31986, 31984])).
% 15.52/11.61 tff(31989,plain,
% 15.52/11.61 ((v118(constB185) | v121(constB185)) | (~v121(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31990,plain,
% 15.52/11.61 (v118(constB185) | v121(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31989, 31988])).
% 15.52/11.61 tff(31991,plain,
% 15.52/11.61 ((~(v117(constB185) <=> (v118(constB185) | v121(constB185)))) | v117(constB185) | (~(v118(constB185) | v121(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31992,plain,
% 15.52/11.61 (v117(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31991, 31990, 31977])).
% 15.52/11.61 tff(31993,plain,
% 15.52/11.61 ((v117(constB185) | v122(constB185)) | (~v117(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31994,plain,
% 15.52/11.61 (v117(constB185) | v122(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31993, 31992])).
% 15.52/11.61 tff(31995,plain,
% 15.52/11.61 ((~(v116(constB185) <=> (v117(constB185) | v122(constB185)))) | v116(constB185) | (~(v117(constB185) | v122(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31996,plain,
% 15.52/11.61 (v116(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31995, 31994, 31975])).
% 15.52/11.61 tff(31997,plain,
% 15.52/11.61 ((v116(constB185) | v123(constB185)) | (~v116(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(31998,plain,
% 15.52/11.61 (v116(constB185) | v123(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31997, 31996])).
% 15.52/11.61 tff(31999,plain,
% 15.52/11.61 ((~(v115(constB185) <=> (v116(constB185) | v123(constB185)))) | v115(constB185) | (~(v116(constB185) | v123(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32000,plain,
% 15.52/11.61 (v115(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[31999, 31998, 31973])).
% 15.52/11.61 tff(32001,plain,
% 15.52/11.61 ((v115(constB185) | v124(constB185)) | (~v115(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32002,plain,
% 15.52/11.61 (v115(constB185) | v124(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32001, 32000])).
% 15.52/11.61 tff(32003,plain,
% 15.52/11.61 ((~(v114(constB185) <=> (v115(constB185) | v124(constB185)))) | v114(constB185) | (~(v115(constB185) | v124(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32004,plain,
% 15.52/11.61 (v114(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32003, 32002, 31971])).
% 15.52/11.61 tff(32005,plain,
% 15.52/11.61 ((v114(constB185) | v125(constB185)) | (~v114(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32006,plain,
% 15.52/11.61 (v114(constB185) | v125(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32005, 32004])).
% 15.52/11.61 tff(32007,plain,
% 15.52/11.61 ((~(v113(constB185) <=> (v114(constB185) | v125(constB185)))) | v113(constB185) | (~(v114(constB185) | v125(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32008,plain,
% 15.52/11.61 (v113(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32007, 32006, 31969])).
% 15.52/11.61 tff(32009,plain,
% 15.52/11.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB185)) <=> v111(constB185))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32010,plain,
% 15.52/11.61 ((~v126(constB185)) <=> v111(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32009, 1345])).
% 15.52/11.61 tff(32011,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB185) <=> v26(constB185))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32012,plain,
% 15.52/11.61 (v111(constB185) <=> v26(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32011, 1357])).
% 15.52/11.61 tff(32013,plain,
% 15.52/11.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32014,plain,
% 15.52/11.61 (~v26(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32013, 1369])).
% 15.52/11.61 tff(32015,plain,
% 15.52/11.61 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185)) | v26(constB185)),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32016,plain,
% 15.52/11.61 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32015, 32014])).
% 15.52/11.61 tff(32017,plain,
% 15.52/11.61 (~v111(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32016, 32012])).
% 15.52/11.61 tff(32018,plain,
% 15.52/11.61 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185) | v111(constB185)),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32019,plain,
% 15.52/11.61 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32018, 32017])).
% 15.52/11.61 tff(32020,plain,
% 15.52/11.61 (v126(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32019, 32010])).
% 15.52/11.61 tff(32021,plain,
% 15.52/11.61 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185)) | (~v126(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32022,plain,
% 15.52/11.61 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32021, 32020])).
% 15.52/11.61 tff(32023,plain,
% 15.52/11.61 (~((~v113(constB185)) | (~v126(constB185)))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32022, 32008])).
% 15.52/11.61 tff(32024,plain,
% 15.52/11.61 ((~(v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))) | v112(constB185) | ((~v113(constB185)) | (~v126(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32025,plain,
% 15.52/11.61 (v112(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32024, 32023, 31967])).
% 15.52/11.61 tff(32026,plain,
% 15.52/11.61 ((v111(constB185) | v112(constB185)) | (~v112(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32027,plain,
% 15.52/11.61 (v111(constB185) | v112(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32026, 32025])).
% 15.52/11.61 tff(32028,plain,
% 15.52/11.61 ((~(v108(constB185) <=> (v111(constB185) | v112(constB185)))) | v108(constB185) | (~(v111(constB185) | v112(constB185)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32029,plain,
% 15.52/11.61 (v108(constB185)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32028, 32027, 31965])).
% 15.52/11.61 tff(32030,plain,
% 15.52/11.61 ((~(v110(constB186) <=> v108(constB185))) | v110(constB186) | (~v108(constB185))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32031,plain,
% 15.52/11.61 (v110(constB186)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32030, 32029, 31963])).
% 15.52/11.61 tff(32032,plain,
% 15.52/11.61 ((~((~v101(constB186)) | (~v110(constB186)))) | (~v101(constB186)) | (~v110(constB186))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32033,plain,
% 15.52/11.61 (~((~v101(constB186)) | (~v110(constB186)))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32032, 32031, 31959])).
% 15.52/11.61 tff(32034,plain,
% 15.52/11.61 ((~(v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))) | v100(constB186) | ((~v101(constB186)) | (~v110(constB186)))),
% 15.52/11.61 inference(tautology,[status(thm)],[])).
% 15.52/11.61 tff(32035,plain,
% 15.52/11.61 (v100(constB186)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32034, 32033, 31934])).
% 15.52/11.61 tff(32036,plain,
% 15.52/11.61 (((~![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))))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(32037,plain,
% 15.52/11.61 ((~![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))))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32038,plain,
% 15.52/11.61 ((~![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)))),
% 15.52/11.61 inference(modus_ponens,[status(thm)],[32037, 32036])).
% 15.52/11.61 tff(32039,plain,
% 15.52/11.61 ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32038, 1405])).
% 15.52/11.61 tff(32040,plain,
% 15.52/11.61 (![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32039, 32035])).
% 15.52/11.61 tff(32041,plain,
% 15.52/11.61 (((~![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)))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(32042,plain,
% 15.52/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32043,plain,
% 15.52/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2))),
% 15.52/11.61 inference(modus_ponens,[status(thm)],[32042, 32041])).
% 15.52/11.61 tff(32044,plain,
% 15.52/11.61 (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32043, 579, 32040])).
% 15.52/11.61 tff(32045,plain,
% 15.52/11.61 (((~![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))))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(32046,plain,
% 15.52/11.61 ((~![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))))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32047,plain,
% 15.52/11.61 ((~![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)))),
% 15.52/11.61 inference(modus_ponens,[status(thm)],[32046, 32045])).
% 15.52/11.61 tff(32048,plain,
% 15.52/11.61 (![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32047, 27372, 1427])).
% 15.52/11.61 tff(32049,plain,
% 15.52/11.61 (((~![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)))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(32050,plain,
% 15.52/11.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32051,plain,
% 15.52/11.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2))),
% 15.52/11.61 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 15.52/11.61 tff(32052,plain,
% 15.52/11.61 (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)),
% 15.52/11.61 inference(unit_resolution,[status(thm)],[32051, 579, 32048])).
% 15.52/11.61 tff(32053,plain,
% 15.52/11.61 (((~![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))))),
% 15.52/11.61 inference(rewrite,[status(thm)],[])).
% 15.52/11.61 tff(32054,plain,
% 15.52/11.61 ((~![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))))),
% 15.52/11.61 inference(quant_inst,[status(thm)],[])).
% 15.52/11.61 tff(32055,plain,
% 15.52/11.61 ((~![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)))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 15.52/11.62 tff(32056,plain,
% 15.52/11.62 (![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32055, 1448, 32017])).
% 15.52/11.62 tff(32057,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32058,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32059,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 15.52/11.62 tff(32060,plain,
% 15.52/11.62 (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32059, 579, 32056])).
% 15.52/11.62 tff(32061,plain,
% 15.52/11.62 (((~![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))))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32062,plain,
% 15.52/11.62 ((~![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))))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32063,plain,
% 15.52/11.62 ((~![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)))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 15.52/11.62 tff(32064,plain,
% 15.52/11.62 ((~v121(constB185)) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32063, 1832])).
% 15.52/11.62 tff(32065,plain,
% 15.52/11.62 (![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32064, 31988])).
% 15.52/11.62 tff(32066,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32067,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b011(bitIndex2)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32068,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b011(bitIndex2))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32067, 32066])).
% 15.52/11.62 tff(32069,plain,
% 15.52/11.62 (v130(constB185, bitIndex2) <=> b011(bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32068, 579, 32065])).
% 15.52/11.62 tff(32070,plain,
% 15.52/11.62 ((~(v130(constB185, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB185, bitIndex2)) | b011(bitIndex2)),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32071,plain,
% 15.52/11.62 ((~(v130(constB185, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB185, bitIndex2))),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32070, 1844])).
% 15.52/11.62 tff(32072,plain,
% 15.52/11.62 (~v130(constB185, bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32071, 32069])).
% 15.52/11.62 tff(32073,plain,
% 15.52/11.62 ((~(v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2))) | (~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32074,plain,
% 15.52/11.62 (~v127(constB185, bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32073, 32072, 32060])).
% 15.52/11.62 tff(32075,plain,
% 15.52/11.62 ((~(v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2))) | (~v129(constB186, bitIndex2)) | v127(constB185, bitIndex2)),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32076,plain,
% 15.52/11.62 (~v129(constB186, bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32075, 32074, 32052])).
% 15.52/11.62 tff(32077,plain,
% 15.52/11.62 ((~(v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2)),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32078,plain,
% 15.52/11.62 (~v90(constB186, bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32077, 32076, 32044])).
% 15.52/11.62 tff(32079,plain,
% 15.52/11.62 ((~(v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2))) | (~v90(constB187, bitIndex2)) | v90(constB186, bitIndex2)),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32080,plain,
% 15.52/11.62 (~v90(constB187, bitIndex2)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32079, 32078, 31930])).
% 15.52/11.62 tff(32081,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32082,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32083,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32082, 32081])).
% 15.52/11.62 tff(32084,plain,
% 15.52/11.62 (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32083, 1275, 31926])).
% 15.52/11.62 tff(32085,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32086,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32087,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32086, 32085])).
% 15.52/11.62 tff(32088,plain,
% 15.52/11.62 (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32087, 1275, 32040])).
% 15.52/11.62 tff(32089,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32090,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32091,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 15.52/11.62 tff(32092,plain,
% 15.52/11.62 (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32091, 1275, 32048])).
% 15.52/11.62 tff(32093,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32094,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32095,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 15.52/11.62 tff(32096,plain,
% 15.52/11.62 (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32095, 1275, 32056])).
% 15.52/11.62 tff(32097,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32098,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b011(bitIndex0)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32099,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b011(bitIndex0))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 15.52/11.62 tff(32100,plain,
% 15.52/11.62 (v130(constB185, bitIndex0) <=> b011(bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32099, 1275, 32065])).
% 15.52/11.62 tff(32101,plain,
% 15.52/11.62 ((~(v130(constB185, bitIndex0) <=> b011(bitIndex0))) | v130(constB185, bitIndex0) | (~b011(bitIndex0))),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32102,plain,
% 15.52/11.62 ((~(v130(constB185, bitIndex0) <=> b011(bitIndex0))) | v130(constB185, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32101, 1878])).
% 15.52/11.62 tff(32103,plain,
% 15.52/11.62 (v130(constB185, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32102, 32100])).
% 15.52/11.62 tff(32104,plain,
% 15.52/11.62 ((~(v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0))) | v127(constB185, bitIndex0) | (~v130(constB185, bitIndex0))),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32105,plain,
% 15.52/11.62 (v127(constB185, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32104, 32103, 32096])).
% 15.52/11.62 tff(32106,plain,
% 15.52/11.62 ((~(v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0))) | v129(constB186, bitIndex0) | (~v127(constB185, bitIndex0))),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32107,plain,
% 15.52/11.62 (v129(constB186, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32106, 32105, 32092])).
% 15.52/11.62 tff(32108,plain,
% 15.52/11.62 ((~(v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0))),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32109,plain,
% 15.52/11.62 (v90(constB186, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32108, 32107, 32088])).
% 15.52/11.62 tff(32110,plain,
% 15.52/11.62 ((~(v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0))) | v90(constB187, bitIndex0) | (~v90(constB186, bitIndex0))),
% 15.52/11.62 inference(tautology,[status(thm)],[])).
% 15.52/11.62 tff(32111,plain,
% 15.52/11.62 (v90(constB187, bitIndex0)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32110, 32109, 32084])).
% 15.52/11.62 tff(32112,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32113,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32114,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 15.52/11.62 tff(32115,plain,
% 15.52/11.62 (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32114, 1288, 31926])).
% 15.52/11.62 tff(32116,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32117,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))),
% 15.52/11.62 inference(quant_inst,[status(thm)],[])).
% 15.52/11.62 tff(32118,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1))),
% 15.52/11.62 inference(modus_ponens,[status(thm)],[32117, 32116])).
% 15.52/11.62 tff(32119,plain,
% 15.52/11.62 (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)),
% 15.52/11.62 inference(unit_resolution,[status(thm)],[32118, 1288, 32040])).
% 15.52/11.62 tff(32120,plain,
% 15.52/11.62 (((~![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)))),
% 15.52/11.62 inference(rewrite,[status(thm)],[])).
% 15.52/11.62 tff(32121,plain,
% 15.52/11.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32122,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32121, 32120])).
% 15.52/11.63 tff(32123,plain,
% 15.52/11.63 (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32122, 1288, 32048])).
% 15.52/11.63 tff(32124,plain,
% 15.52/11.63 (((~![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)))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32125,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32126,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 15.52/11.63 tff(32127,plain,
% 15.52/11.63 (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32126, 1288, 32056])).
% 15.52/11.63 tff(32128,plain,
% 15.52/11.63 (((~![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)))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32129,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b011(bitIndex1)))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32130,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b011(bitIndex1))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 15.52/11.63 tff(32131,plain,
% 15.52/11.63 (v130(constB185, bitIndex1) <=> b011(bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32130, 1288, 32065])).
% 15.52/11.63 tff(32132,plain,
% 15.52/11.63 ((~(v130(constB185, bitIndex1) <=> b011(bitIndex1))) | v130(constB185, bitIndex1) | (~b011(bitIndex1))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32133,plain,
% 15.52/11.63 ((~(v130(constB185, bitIndex1) <=> b011(bitIndex1))) | v130(constB185, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32132, 1912])).
% 15.52/11.63 tff(32134,plain,
% 15.52/11.63 (v130(constB185, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32133, 32131])).
% 15.52/11.63 tff(32135,plain,
% 15.52/11.63 ((~(v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1))) | v127(constB185, bitIndex1) | (~v130(constB185, bitIndex1))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32136,plain,
% 15.52/11.63 (v127(constB185, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32135, 32134, 32127])).
% 15.52/11.63 tff(32137,plain,
% 15.52/11.63 ((~(v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1))) | v129(constB186, bitIndex1) | (~v127(constB185, bitIndex1))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32138,plain,
% 15.52/11.63 (v129(constB186, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32137, 32136, 32123])).
% 15.52/11.63 tff(32139,plain,
% 15.52/11.63 ((~(v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32140,plain,
% 15.52/11.63 (v90(constB186, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32139, 32138, 32119])).
% 15.52/11.63 tff(32141,plain,
% 15.52/11.63 ((~(v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1))) | v90(constB187, bitIndex1) | (~v90(constB186, bitIndex1))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32142,plain,
% 15.52/11.63 (v90(constB187, bitIndex1)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32141, 32140, 32115])).
% 15.52/11.63 tff(32143,plain,
% 15.52/11.63 ((~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32144,plain,
% 15.52/11.63 (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32143, 32142, 32111, 32080])).
% 15.52/11.63 tff(32145,plain,
% 15.52/11.63 ((~(v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))) | v122(constB187) | (v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32146,plain,
% 15.52/11.63 (v122(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32145, 32144, 31901])).
% 15.52/11.63 tff(32147,plain,
% 15.52/11.63 ((v117(constB187) | v122(constB187)) | (~v122(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32148,plain,
% 15.52/11.63 (v117(constB187) | v122(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32147, 32146])).
% 15.52/11.63 tff(32149,plain,
% 15.52/11.63 ((~(v116(constB187) <=> (v117(constB187) | v122(constB187)))) | v116(constB187) | (~(v117(constB187) | v122(constB187)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32150,plain,
% 15.52/11.63 (v116(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32149, 32148, 31894])).
% 15.52/11.63 tff(32151,plain,
% 15.52/11.63 ((v116(constB187) | v123(constB187)) | (~v116(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32152,plain,
% 15.52/11.63 (v116(constB187) | v123(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32151, 32150])).
% 15.52/11.63 tff(32153,plain,
% 15.52/11.63 ((~(v115(constB187) <=> (v116(constB187) | v123(constB187)))) | v115(constB187) | (~(v116(constB187) | v123(constB187)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32154,plain,
% 15.52/11.63 (v115(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32153, 32152, 31892])).
% 15.52/11.63 tff(32155,plain,
% 15.52/11.63 ((v115(constB187) | v124(constB187)) | (~v115(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32156,plain,
% 15.52/11.63 (v115(constB187) | v124(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32155, 32154])).
% 15.52/11.63 tff(32157,plain,
% 15.52/11.63 ((~(v114(constB187) <=> (v115(constB187) | v124(constB187)))) | v114(constB187) | (~(v115(constB187) | v124(constB187)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32158,plain,
% 15.52/11.63 (v114(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32157, 32156, 31890])).
% 15.52/11.63 tff(32159,plain,
% 15.52/11.63 ((v114(constB187) | v125(constB187)) | (~v114(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32160,plain,
% 15.52/11.63 (v114(constB187) | v125(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32159, 32158])).
% 15.52/11.63 tff(32161,plain,
% 15.52/11.63 ((~(v113(constB187) <=> (v114(constB187) | v125(constB187)))) | v113(constB187) | (~(v114(constB187) | v125(constB187)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32162,plain,
% 15.52/11.63 (v113(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32161, 32160, 31888])).
% 15.52/11.63 tff(32163,plain,
% 15.52/11.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB187)) <=> v111(constB187))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32164,plain,
% 15.52/11.63 ((~v126(constB187)) <=> v111(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32163, 1345])).
% 15.52/11.63 tff(32165,plain,
% 15.52/11.63 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB187) <=> v26(constB187))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32166,plain,
% 15.52/11.63 (v111(constB187) <=> v26(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32165, 1357])).
% 15.52/11.63 tff(32167,plain,
% 15.52/11.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32168,plain,
% 15.52/11.63 (~v26(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32167, 1369])).
% 15.52/11.63 tff(32169,plain,
% 15.52/11.63 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187)) | v26(constB187)),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32170,plain,
% 15.52/11.63 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32169, 32168])).
% 15.52/11.63 tff(32171,plain,
% 15.52/11.63 (~v111(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32170, 32166])).
% 15.52/11.63 tff(32172,plain,
% 15.52/11.63 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187) | v111(constB187)),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32173,plain,
% 15.52/11.63 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32172, 32171])).
% 15.52/11.63 tff(32174,plain,
% 15.52/11.63 (v126(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32173, 32164])).
% 15.52/11.63 tff(32175,plain,
% 15.52/11.63 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187)) | (~v126(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32176,plain,
% 15.52/11.63 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32175, 32174])).
% 15.52/11.63 tff(32177,plain,
% 15.52/11.63 (~((~v113(constB187)) | (~v126(constB187)))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32176, 32162])).
% 15.52/11.63 tff(32178,plain,
% 15.52/11.63 ((~(v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))) | v112(constB187) | ((~v113(constB187)) | (~v126(constB187)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32179,plain,
% 15.52/11.63 (v112(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32178, 32177, 31886])).
% 15.52/11.63 tff(32180,plain,
% 15.52/11.63 ((v111(constB187) | v112(constB187)) | (~v112(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32181,plain,
% 15.52/11.63 (v111(constB187) | v112(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32180, 32179])).
% 15.52/11.63 tff(32182,plain,
% 15.52/11.63 ((~(v108(constB187) <=> (v111(constB187) | v112(constB187)))) | v108(constB187) | (~(v111(constB187) | v112(constB187)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32183,plain,
% 15.52/11.63 (v108(constB187)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32182, 32181, 31884])).
% 15.52/11.63 tff(32184,plain,
% 15.52/11.63 ((~(v110(constB188) <=> v108(constB187))) | v110(constB188) | (~v108(constB187))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32185,plain,
% 15.52/11.63 (v110(constB188)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32184, 32183, 31882])).
% 15.52/11.63 tff(32186,plain,
% 15.52/11.63 ((~((~v101(constB188)) | (~v110(constB188)))) | (~v101(constB188)) | (~v110(constB188))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32187,plain,
% 15.52/11.63 (~((~v101(constB188)) | (~v110(constB188)))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32186, 32185, 31878])).
% 15.52/11.63 tff(32188,plain,
% 15.52/11.63 ((~(v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))) | v100(constB188) | ((~v101(constB188)) | (~v110(constB188)))),
% 15.52/11.63 inference(tautology,[status(thm)],[])).
% 15.52/11.63 tff(32189,plain,
% 15.52/11.63 (v100(constB188)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32188, 32187, 31847])).
% 15.52/11.63 tff(32190,plain,
% 15.52/11.63 (((~![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))))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32191,plain,
% 15.52/11.63 ((~![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))))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32192,plain,
% 15.52/11.63 ((~![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)))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 15.52/11.63 tff(32193,plain,
% 15.52/11.63 ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32192, 1405])).
% 15.52/11.63 tff(32194,plain,
% 15.52/11.63 (![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32193, 32189])).
% 15.52/11.63 tff(32195,plain,
% 15.52/11.63 (((~![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)))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32196,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32197,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32196, 32195])).
% 15.52/11.63 tff(32198,plain,
% 15.52/11.63 (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32197, 579, 32194])).
% 15.52/11.63 tff(32199,plain,
% 15.52/11.63 (((~![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))))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32200,plain,
% 15.52/11.63 ((~![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))))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32201,plain,
% 15.52/11.63 ((~![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)))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32200, 32199])).
% 15.52/11.63 tff(32202,plain,
% 15.52/11.63 (![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32201, 31843, 1427])).
% 15.52/11.63 tff(32203,plain,
% 15.52/11.63 (((~![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)))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32204,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))),
% 15.52/11.63 inference(quant_inst,[status(thm)],[])).
% 15.52/11.63 tff(32205,plain,
% 15.52/11.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2))),
% 15.52/11.63 inference(modus_ponens,[status(thm)],[32204, 32203])).
% 15.52/11.63 tff(32206,plain,
% 15.52/11.63 (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)),
% 15.52/11.63 inference(unit_resolution,[status(thm)],[32205, 579, 32202])).
% 15.52/11.63 tff(32207,plain,
% 15.52/11.63 (((~![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))))),
% 15.52/11.63 inference(rewrite,[status(thm)],[])).
% 15.52/11.63 tff(32208,plain,
% 15.52/11.63 ((~![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))))),
% 15.58/11.63 inference(quant_inst,[status(thm)],[])).
% 15.58/11.63 tff(32209,plain,
% 15.58/11.63 ((~![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)))),
% 15.58/11.63 inference(modus_ponens,[status(thm)],[32208, 32207])).
% 15.58/11.63 tff(32210,plain,
% 15.58/11.63 (![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))),
% 15.58/11.63 inference(unit_resolution,[status(thm)],[32209, 1448, 32171])).
% 15.58/11.63 tff(32211,plain,
% 15.58/11.63 (((~![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)))),
% 15.58/11.63 inference(rewrite,[status(thm)],[])).
% 15.58/11.63 tff(32212,plain,
% 15.58/11.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))),
% 15.58/11.63 inference(quant_inst,[status(thm)],[])).
% 15.58/11.63 tff(32213,plain,
% 15.58/11.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2))),
% 15.58/11.63 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 15.58/11.63 tff(32214,plain,
% 15.58/11.63 (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)),
% 15.58/11.63 inference(unit_resolution,[status(thm)],[32213, 579, 32210])).
% 15.58/11.63 tff(32215,plain,
% 15.58/11.63 (((~![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))))),
% 15.58/11.63 inference(rewrite,[status(thm)],[])).
% 15.58/11.63 tff(32216,plain,
% 15.58/11.63 ((~![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))))),
% 15.58/11.63 inference(quant_inst,[status(thm)],[])).
% 15.58/11.63 tff(32217,plain,
% 15.58/11.63 ((~![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)))),
% 15.58/11.63 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 15.58/11.63 tff(32218,plain,
% 15.58/11.63 ((~v122(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))),
% 15.58/11.63 inference(unit_resolution,[status(thm)],[32217, 2008])).
% 15.58/11.63 tff(32219,plain,
% 15.58/11.63 (![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))),
% 15.58/11.63 inference(unit_resolution,[status(thm)],[32218, 32146])).
% 15.58/11.63 tff(32220,plain,
% 15.58/11.63 (((~![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)))),
% 15.58/11.63 inference(rewrite,[status(thm)],[])).
% 15.58/11.63 tff(32221,plain,
% 15.58/11.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b100(bitIndex2)))),
% 15.58/11.63 inference(quant_inst,[status(thm)],[])).
% 15.58/11.63 tff(32222,plain,
% 15.58/11.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b100(bitIndex2))),
% 15.58/11.63 inference(modus_ponens,[status(thm)],[32221, 32220])).
% 15.58/11.63 tff(32223,plain,
% 15.58/11.63 (v130(constB187, bitIndex2) <=> b100(bitIndex2)),
% 15.58/11.63 inference(unit_resolution,[status(thm)],[32222, 579, 32219])).
% 15.58/11.63 tff(32224,plain,
% 15.58/11.63 ((~(v130(constB187, bitIndex2) <=> b100(bitIndex2))) | v130(constB187, bitIndex2) | (~b100(bitIndex2))),
% 15.58/11.63 inference(tautology,[status(thm)],[])).
% 15.58/11.63 tff(32225,plain,
% 15.58/11.63 ((~(v130(constB187, bitIndex2) <=> b100(bitIndex2))) | v130(constB187, bitIndex2)),
% 15.58/11.63 inference(unit_resolution,[status(thm)],[32224, 2020])).
% 15.58/11.64 tff(32226,plain,
% 15.58/11.64 (v130(constB187, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32225, 32223])).
% 15.58/11.64 tff(32227,plain,
% 15.58/11.64 ((~(v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2))) | v127(constB187, bitIndex2) | (~v130(constB187, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32228,plain,
% 15.58/11.64 (v127(constB187, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32227, 32226, 32214])).
% 15.58/11.64 tff(32229,plain,
% 15.58/11.64 ((~(v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2))) | v129(constB188, bitIndex2) | (~v127(constB187, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32230,plain,
% 15.58/11.64 (v129(constB188, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32229, 32228, 32206])).
% 15.58/11.64 tff(32231,plain,
% 15.58/11.64 ((~(v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32232,plain,
% 15.58/11.64 (v90(constB188, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32231, 32230, 32198])).
% 15.58/11.64 tff(32233,plain,
% 15.58/11.64 ((~(v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2))) | v90(constB189, bitIndex2) | (~v90(constB188, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32234,plain,
% 15.58/11.64 (v90(constB189, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32233, 32232, 31840])).
% 15.58/11.64 tff(32235,plain,
% 15.58/11.64 ((~(v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2))) | v88(constB189, bitIndex2) | (~v90(constB189, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32236,plain,
% 15.58/11.64 (v88(constB189, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32235, 32234, 31808])).
% 15.58/11.64 tff(32237,plain,
% 15.58/11.64 ((v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | (~v88(constB189, bitIndex0))) | (~v88(constB189, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32238,plain,
% 15.58/11.64 (v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | (~v88(constB189, bitIndex0))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32237, 32236])).
% 15.58/11.64 tff(32239,plain,
% 15.58/11.64 ((~(v141(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | (~v88(constB189, bitIndex0)))))) | (~v141(constB189)) | (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | (~v88(constB189, bitIndex0))))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32240,plain,
% 15.58/11.64 (~v141(constB189)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32239, 32238, 31804])).
% 15.58/11.64 tff(32241,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB189) <=> (v139(constB189) | v140(constB189)))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32242,plain,
% 15.58/11.64 (v170(constB189) <=> (v139(constB189) | v140(constB189))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32241, 2216])).
% 15.58/11.64 tff(32243,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2))))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32244,plain,
% 15.58/11.64 (v139(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32243, 2231])).
% 15.58/11.64 tff(32245,plain,
% 15.58/11.64 ((v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)) | (~v88(constB189, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32246,plain,
% 15.58/11.64 (v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32245, 32236])).
% 15.58/11.64 tff(32247,plain,
% 15.58/11.64 ((~(v139(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2))))) | (~v139(constB189)) | (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32248,plain,
% 15.58/11.64 (~v139(constB189)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32247, 32246, 32244])).
% 15.58/11.64 tff(32249,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))))))),
% 15.58/11.64 inference(rewrite,[status(thm)],[])).
% 15.58/11.64 tff(32250,plain,
% 15.58/11.64 ((v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0))))) <=> (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0)))))),
% 15.58/11.64 inference(rewrite,[status(thm)],[])).
% 15.58/11.64 tff(32251,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))))))),
% 15.58/11.64 inference(monotonicity,[status(thm)],[32250])).
% 15.58/11.64 tff(32252,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))))))),
% 15.58/11.64 inference(transitivity,[status(thm)],[32251, 32249])).
% 15.58/11.64 tff(32253,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0)))))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32254,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0)))))),
% 15.58/11.64 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 15.58/11.64 tff(32255,plain,
% 15.58/11.64 (v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32254, 2250])).
% 15.58/11.64 tff(32256,plain,
% 15.58/11.64 ((v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))) | (~v88(constB189, bitIndex2))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32257,plain,
% 15.58/11.64 (v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32256, 32236])).
% 15.58/11.64 tff(32258,plain,
% 15.58/11.64 ((~(v140(constB189) <=> (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0)))))) | (~v140(constB189)) | (~(v88(constB189, bitIndex2) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex0))))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32259,plain,
% 15.58/11.64 (~v140(constB189)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32258, 32257, 32255])).
% 15.58/11.64 tff(32260,plain,
% 15.58/11.64 ((~(v139(constB189) | v140(constB189))) | v139(constB189) | v140(constB189)),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32261,plain,
% 15.58/11.64 (~(v139(constB189) | v140(constB189))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32260, 32259, 32248])).
% 15.58/11.64 tff(32262,plain,
% 15.58/11.64 ((~(v170(constB189) <=> (v139(constB189) | v140(constB189)))) | (~v170(constB189)) | (v139(constB189) | v140(constB189))),
% 15.58/11.64 inference(tautology,[status(thm)],[])).
% 15.58/11.64 tff(32263,plain,
% 15.58/11.64 (~v170(constB189)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32262, 32261, 32242])).
% 15.58/11.64 tff(32264,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB189) | v170(constB189) | (~v169(constB189)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB189) | v170(constB189) | (~v169(constB189)))),
% 15.58/11.64 inference(rewrite,[status(thm)],[])).
% 15.58/11.64 tff(32265,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB189) | v170(constB189) | (~v169(constB189)))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32266,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB189) | v170(constB189) | (~v169(constB189))),
% 15.58/11.64 inference(modus_ponens,[status(thm)],[32265, 32264])).
% 15.58/11.64 tff(32267,plain,
% 15.58/11.64 (v141(constB189) | v170(constB189) | (~v169(constB189))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32266, 2278])).
% 15.58/11.64 tff(32268,plain,
% 15.58/11.64 (~v169(constB189)),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32267, 32263, 32240])).
% 15.58/11.64 tff(32269,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB189) <=> (v145(constB189) | v166(constB189)))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32270,plain,
% 15.58/11.64 (v165(constB189) <=> (v145(constB189) | v166(constB189))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32269, 2293])).
% 15.58/11.64 tff(32271,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB189) <=> (v146(constB189) | v147(constB189)))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32272,plain,
% 15.58/11.64 (v145(constB189) <=> (v146(constB189) | v147(constB189))),
% 15.58/11.64 inference(unit_resolution,[status(thm)],[32271, 2302])).
% 15.58/11.64 tff(32273,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1)))))),
% 15.58/11.64 inference(rewrite,[status(thm)],[])).
% 15.58/11.64 tff(32274,plain,
% 15.58/11.64 ((v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2))))) <=> (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))))),
% 15.58/11.64 inference(rewrite,[status(thm)],[])).
% 15.58/11.64 tff(32275,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1)))))),
% 15.58/11.64 inference(monotonicity,[status(thm)],[32274])).
% 15.58/11.64 tff(32276,plain,
% 15.58/11.64 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1)))))),
% 15.58/11.64 inference(transitivity,[status(thm)],[32275, 32273])).
% 15.58/11.64 tff(32277,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)))))),
% 15.58/11.64 inference(quant_inst,[status(thm)],[])).
% 15.58/11.64 tff(32278,plain,
% 15.58/11.64 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32277, 32276])).
% 15.58/11.65 tff(32279,plain,
% 15.58/11.65 (v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1)))),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32278, 16288])).
% 15.58/11.65 tff(32280,plain,
% 15.58/11.65 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32281,plain,
% 15.58/11.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32282,plain,
% 15.58/11.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32281, 32280])).
% 15.58/11.65 tff(32283,plain,
% 15.58/11.65 (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32282, 1275, 576])).
% 15.58/11.65 tff(32284,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32285,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32286,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32285, 32284])).
% 15.58/11.65 tff(32287,plain,
% 15.58/11.65 (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32286, 1275, 31836])).
% 15.58/11.65 tff(32288,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32289,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32290,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32289, 32288])).
% 15.58/11.65 tff(32291,plain,
% 15.58/11.65 (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32290, 1275, 32194])).
% 15.58/11.65 tff(32292,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32293,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32294,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32293, 32292])).
% 15.58/11.65 tff(32295,plain,
% 15.58/11.65 (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32294, 1275, 32202])).
% 15.58/11.65 tff(32296,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32297,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32298,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 15.58/11.65 tff(32299,plain,
% 15.58/11.65 (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32298, 1275, 32210])).
% 15.58/11.65 tff(32300,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32301,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b100(bitIndex0)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32302,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b100(bitIndex0))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 15.58/11.65 tff(32303,plain,
% 15.58/11.65 (v130(constB187, bitIndex0) <=> b100(bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32302, 1275, 32219])).
% 15.58/11.65 tff(32304,plain,
% 15.58/11.65 ((~(v130(constB187, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB187, bitIndex0)) | b100(bitIndex0)),
% 15.58/11.65 inference(tautology,[status(thm)],[])).
% 15.58/11.65 tff(32305,plain,
% 15.58/11.65 ((~(v130(constB187, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB187, bitIndex0))),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32304, 2054])).
% 15.58/11.65 tff(32306,plain,
% 15.58/11.65 (~v130(constB187, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32305, 32303])).
% 15.58/11.65 tff(32307,plain,
% 15.58/11.65 ((~(v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0))) | (~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 15.58/11.65 inference(tautology,[status(thm)],[])).
% 15.58/11.65 tff(32308,plain,
% 15.58/11.65 (~v127(constB187, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32307, 32306, 32299])).
% 15.58/11.65 tff(32309,plain,
% 15.58/11.65 ((~(v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0))) | (~v129(constB188, bitIndex0)) | v127(constB187, bitIndex0)),
% 15.58/11.65 inference(tautology,[status(thm)],[])).
% 15.58/11.65 tff(32310,plain,
% 15.58/11.65 (~v129(constB188, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32309, 32308, 32295])).
% 15.58/11.65 tff(32311,plain,
% 15.58/11.65 ((~(v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0)),
% 15.58/11.65 inference(tautology,[status(thm)],[])).
% 15.58/11.65 tff(32312,plain,
% 15.58/11.65 (~v90(constB188, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32311, 32310, 32291])).
% 15.58/11.65 tff(32313,plain,
% 15.58/11.65 ((~(v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0))) | (~v90(constB189, bitIndex0)) | v90(constB188, bitIndex0)),
% 15.58/11.65 inference(tautology,[status(thm)],[])).
% 15.58/11.65 tff(32314,plain,
% 15.58/11.65 (~v90(constB189, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32313, 32312, 32287])).
% 15.58/11.65 tff(32315,plain,
% 15.58/11.65 ((~(v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0))) | (~v88(constB189, bitIndex0)) | v90(constB189, bitIndex0)),
% 15.58/11.65 inference(tautology,[status(thm)],[])).
% 15.58/11.65 tff(32316,plain,
% 15.58/11.65 (~v88(constB189, bitIndex0)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32315, 32314, 32283])).
% 15.58/11.65 tff(32317,plain,
% 15.58/11.65 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32318,plain,
% 15.58/11.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32319,plain,
% 15.58/11.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32318, 32317])).
% 15.58/11.65 tff(32320,plain,
% 15.58/11.65 (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32319, 1288, 576])).
% 15.58/11.65 tff(32321,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32322,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32323,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32322, 32321])).
% 15.58/11.65 tff(32324,plain,
% 15.58/11.65 (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32323, 1288, 31836])).
% 15.58/11.65 tff(32325,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32326,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32327,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32326, 32325])).
% 15.58/11.65 tff(32328,plain,
% 15.58/11.65 (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)),
% 15.58/11.65 inference(unit_resolution,[status(thm)],[32327, 1288, 32194])).
% 15.58/11.65 tff(32329,plain,
% 15.58/11.65 (((~![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)))),
% 15.58/11.65 inference(rewrite,[status(thm)],[])).
% 15.58/11.65 tff(32330,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))),
% 15.58/11.65 inference(quant_inst,[status(thm)],[])).
% 15.58/11.65 tff(32331,plain,
% 15.58/11.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1))),
% 15.58/11.65 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 15.60/11.65 tff(32332,plain,
% 15.60/11.65 (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32331, 1288, 32202])).
% 15.60/11.65 tff(32333,plain,
% 15.60/11.65 (((~![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)))),
% 15.60/11.65 inference(rewrite,[status(thm)],[])).
% 15.60/11.65 tff(32334,plain,
% 15.60/11.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))),
% 15.60/11.65 inference(quant_inst,[status(thm)],[])).
% 15.60/11.65 tff(32335,plain,
% 15.60/11.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1))),
% 15.60/11.65 inference(modus_ponens,[status(thm)],[32334, 32333])).
% 15.60/11.65 tff(32336,plain,
% 15.60/11.65 (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32335, 1288, 32210])).
% 15.60/11.65 tff(32337,plain,
% 15.60/11.65 (((~![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)))),
% 15.60/11.65 inference(rewrite,[status(thm)],[])).
% 15.60/11.65 tff(32338,plain,
% 15.60/11.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b100(bitIndex1)))),
% 15.60/11.65 inference(quant_inst,[status(thm)],[])).
% 15.60/11.65 tff(32339,plain,
% 15.60/11.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b100(bitIndex1))),
% 15.60/11.65 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 15.60/11.65 tff(32340,plain,
% 15.60/11.65 (v130(constB187, bitIndex1) <=> b100(bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32339, 1288, 32219])).
% 15.60/11.65 tff(32341,plain,
% 15.60/11.65 ((~(v130(constB187, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB187, bitIndex1)) | b100(bitIndex1)),
% 15.60/11.65 inference(tautology,[status(thm)],[])).
% 15.60/11.65 tff(32342,plain,
% 15.60/11.65 ((~(v130(constB187, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB187, bitIndex1))),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32341, 2088])).
% 15.60/11.65 tff(32343,plain,
% 15.60/11.65 (~v130(constB187, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32342, 32340])).
% 15.60/11.65 tff(32344,plain,
% 15.60/11.65 ((~(v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1))) | (~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 15.60/11.65 inference(tautology,[status(thm)],[])).
% 15.60/11.65 tff(32345,plain,
% 15.60/11.65 (~v127(constB187, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32344, 32343, 32336])).
% 15.60/11.65 tff(32346,plain,
% 15.60/11.65 ((~(v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1))) | (~v129(constB188, bitIndex1)) | v127(constB187, bitIndex1)),
% 15.60/11.65 inference(tautology,[status(thm)],[])).
% 15.60/11.65 tff(32347,plain,
% 15.60/11.65 (~v129(constB188, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32346, 32345, 32332])).
% 15.60/11.65 tff(32348,plain,
% 15.60/11.65 ((~(v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1)),
% 15.60/11.65 inference(tautology,[status(thm)],[])).
% 15.60/11.65 tff(32349,plain,
% 15.60/11.65 (~v90(constB188, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32348, 32347, 32328])).
% 15.60/11.65 tff(32350,plain,
% 15.60/11.65 ((~(v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1))) | (~v90(constB189, bitIndex1)) | v90(constB188, bitIndex1)),
% 15.60/11.65 inference(tautology,[status(thm)],[])).
% 15.60/11.65 tff(32351,plain,
% 15.60/11.65 (~v90(constB189, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32350, 32349, 32324])).
% 15.60/11.65 tff(32352,plain,
% 15.60/11.65 ((~(v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1))) | (~v88(constB189, bitIndex1)) | v90(constB189, bitIndex1)),
% 15.60/11.65 inference(tautology,[status(thm)],[])).
% 15.60/11.65 tff(32353,plain,
% 15.60/11.65 (~v88(constB189, bitIndex1)),
% 15.60/11.65 inference(unit_resolution,[status(thm)],[32352, 32351, 32320])).
% 15.60/11.66 tff(32354,plain,
% 15.60/11.66 ((~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32355,plain,
% 15.60/11.66 (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32354, 32353, 32316, 32236])).
% 15.60/11.66 tff(32356,plain,
% 15.60/11.66 ((~(v146(constB189) <=> (~(v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))))) | v146(constB189) | (v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32357,plain,
% 15.60/11.66 (v146(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32356, 32355, 32279])).
% 15.60/11.66 tff(32358,plain,
% 15.60/11.66 ((v146(constB189) | v147(constB189)) | (~v146(constB189))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32359,plain,
% 15.60/11.66 (v146(constB189) | v147(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32358, 32357])).
% 15.60/11.66 tff(32360,plain,
% 15.60/11.66 ((~(v145(constB189) <=> (v146(constB189) | v147(constB189)))) | v145(constB189) | (~(v146(constB189) | v147(constB189)))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32361,plain,
% 15.60/11.66 (v145(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32360, 32359, 32272])).
% 15.60/11.66 tff(32362,plain,
% 15.60/11.66 ((v145(constB189) | v166(constB189)) | (~v145(constB189))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32363,plain,
% 15.60/11.66 (v145(constB189) | v166(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32362, 32361])).
% 15.60/11.66 tff(32364,plain,
% 15.60/11.66 ((~(v165(constB189) <=> (v145(constB189) | v166(constB189)))) | v165(constB189) | (~(v145(constB189) | v166(constB189)))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32365,plain,
% 15.60/11.66 (v165(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32364, 32363, 32270])).
% 15.60/11.66 tff(32366,plain,
% 15.60/11.66 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB189)) | (v162(constB189) <=> v169(constB189)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB189)) | (v162(constB189) <=> v169(constB189)))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32367,plain,
% 15.60/11.66 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB189)) | (v162(constB189) <=> v169(constB189)))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32368,plain,
% 15.60/11.66 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB189)) | (v162(constB189) <=> v169(constB189))),
% 15.60/11.66 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 15.60/11.66 tff(32369,plain,
% 15.60/11.66 ((~v165(constB189)) | (v162(constB189) <=> v169(constB189))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32368, 2426])).
% 15.60/11.66 tff(32370,plain,
% 15.60/11.66 (v162(constB189) <=> v169(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32369, 32365])).
% 15.60/11.66 tff(32371,plain,
% 15.60/11.66 ((~(v162(constB189) <=> v169(constB189))) | (~v162(constB189)) | v169(constB189)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32372,plain,
% 15.60/11.66 (~v162(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32371, 32370, 32268])).
% 15.60/11.66 tff(32373,plain,
% 15.60/11.66 ((~(v160(constB189) <=> v162(constB189))) | (~v160(constB189)) | v162(constB189)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32374,plain,
% 15.60/11.66 ((~(v160(constB189) <=> v162(constB189))) | (~v160(constB189))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32373, 32372])).
% 15.60/11.66 tff(32375,plain,
% 15.60/11.66 (~v160(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32374, 31802])).
% 15.60/11.66 tff(32376,plain,
% 15.60/11.66 (((~v184(constB189)) | (~v160(constB189))) | v160(constB189)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32377,plain,
% 15.60/11.66 ((~v184(constB189)) | (~v160(constB189))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32376, 32375])).
% 15.60/11.66 tff(32378,plain,
% 15.60/11.66 ((~(v187(constB189) <=> (~((~v184(constB189)) | (~v160(constB189)))))) | (~v187(constB189)) | (~((~v184(constB189)) | (~v160(constB189))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32379,plain,
% 15.60/11.66 (~v187(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32378, 32377, 31800])).
% 15.60/11.66 tff(32380,plain,
% 15.60/11.66 (((~v186(constB189)) | (~v187(constB189))) | v187(constB189)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32381,plain,
% 15.60/11.66 ((~v186(constB189)) | (~v187(constB189))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32380, 32379])).
% 15.60/11.66 tff(32382,plain,
% 15.60/11.66 ((~(v185(constB189) <=> (~((~v186(constB189)) | (~v187(constB189)))))) | (~v185(constB189)) | (~((~v186(constB189)) | (~v187(constB189))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32383,plain,
% 15.60/11.66 (~v185(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32382, 32381, 31798])).
% 15.60/11.66 tff(32384,plain,
% 15.60/11.66 ((~(v181(constB189) | v185(constB189))) | v181(constB189) | v185(constB189)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32385,plain,
% 15.60/11.66 (~(v181(constB189) | v185(constB189))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32384, 32383, 31796])).
% 15.60/11.66 tff(32386,plain,
% 15.60/11.66 ((~(v178(constB189) <=> (v181(constB189) | v185(constB189)))) | (~v178(constB189)) | (v181(constB189) | v185(constB189))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32387,plain,
% 15.60/11.66 (~v178(constB189)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32386, 32385, 31720])).
% 15.60/11.66 tff(32388,plain,
% 15.60/11.66 ((~(v180(constB190) <=> v178(constB189))) | (~v180(constB190)) | v178(constB189)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32389,plain,
% 15.60/11.66 (~v180(constB190)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32388, 32387, 31718])).
% 15.60/11.66 tff(32390,plain,
% 15.60/11.66 ((~(v158(constB190) <=> v180(constB190))) | (~v158(constB190)) | v180(constB190)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32391,plain,
% 15.60/11.66 (~v158(constB190)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32390, 32389, 31711])).
% 15.60/11.66 tff(32392,plain,
% 15.60/11.66 (((~v158(constB190)) | (~v182(constB190))) | v158(constB190)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32393,plain,
% 15.60/11.66 ((~v158(constB190)) | (~v182(constB190))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32392, 32391])).
% 15.60/11.66 tff(32394,plain,
% 15.60/11.66 ((~(v181(constB190) <=> (~((~v158(constB190)) | (~v182(constB190)))))) | (~v181(constB190)) | (~((~v158(constB190)) | (~v182(constB190))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32395,plain,
% 15.60/11.66 (~v181(constB190)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32394, 32393, 31709])).
% 15.60/11.66 tff(32396,plain,
% 15.60/11.66 ((~(v181(constB190) | v185(constB190))) | v181(constB190) | v185(constB190)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32397,plain,
% 15.60/11.66 (~(v181(constB190) | v185(constB190))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32396, 32395, 31702])).
% 15.60/11.66 tff(32398,plain,
% 15.60/11.66 ((~(v178(constB190) <=> (v181(constB190) | v185(constB190)))) | (~v178(constB190)) | (v181(constB190) | v185(constB190))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32399,plain,
% 15.60/11.66 (~v178(constB190)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32398, 32397, 31674])).
% 15.60/11.66 tff(32400,plain,
% 15.60/11.66 ((~(v180(constB191) <=> v178(constB190))) | (~v180(constB191)) | v178(constB190)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32401,plain,
% 15.60/11.66 (~v180(constB191)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32400, 32399, 31672])).
% 15.60/11.66 tff(32402,plain,
% 15.60/11.66 ((~(v158(constB191) <=> v180(constB191))) | (~v158(constB191)) | v180(constB191)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32403,plain,
% 15.60/11.66 (~v158(constB191)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32402, 32401, 31665])).
% 15.60/11.66 tff(32404,plain,
% 15.60/11.66 (((~v158(constB191)) | (~v199(constB191))) | v158(constB191)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32405,plain,
% 15.60/11.66 ((~v158(constB191)) | (~v199(constB191))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32404, 32403])).
% 15.60/11.66 tff(32406,plain,
% 15.60/11.66 ((~(v198(constB191) <=> (~((~v158(constB191)) | (~v199(constB191)))))) | (~v198(constB191)) | (~((~v158(constB191)) | (~v199(constB191))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32407,plain,
% 15.60/11.66 (~v198(constB191)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32406, 32405, 31663])).
% 15.60/11.66 tff(32408,plain,
% 15.60/11.66 ((~(v197(constB191) | v198(constB191))) | v197(constB191) | v198(constB191)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32409,plain,
% 15.60/11.66 (~(v197(constB191) | v198(constB191))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32408, 32407, 31661])).
% 15.60/11.66 tff(32410,plain,
% 15.60/11.66 ((~(v194(constB191) <=> (v197(constB191) | v198(constB191)))) | (~v194(constB191)) | (v197(constB191) | v198(constB191))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32411,plain,
% 15.60/11.66 (~v194(constB191)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32410, 32409, 31590])).
% 15.60/11.66 tff(32412,plain,
% 15.60/11.66 ((~(v196(constB192) <=> v194(constB191))) | (~v196(constB192)) | v194(constB191)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32413,plain,
% 15.60/11.66 (~v196(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32412, 32411, 31588])).
% 15.60/11.66 tff(32414,plain,
% 15.60/11.66 ((~(v191(constB192) <=> v196(constB192))) | (~v191(constB192)) | v196(constB192)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32415,plain,
% 15.60/11.66 (~v191(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32414, 32413, 31581])).
% 15.60/11.66 tff(32416,plain,
% 15.60/11.66 (((~v182(constB192)) | (~v191(constB192))) | v191(constB192)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32417,plain,
% 15.60/11.66 ((~v182(constB192)) | (~v191(constB192))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32416, 32415])).
% 15.60/11.66 tff(32418,plain,
% 15.60/11.66 ((~(v197(constB192) <=> (~((~v182(constB192)) | (~v191(constB192)))))) | (~v197(constB192)) | (~((~v182(constB192)) | (~v191(constB192))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32419,plain,
% 15.60/11.66 (~v197(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32418, 32417, 31579])).
% 15.60/11.66 tff(32420,plain,
% 15.60/11.66 ((~(v197(constB192) | v198(constB192))) | v197(constB192) | v198(constB192)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32421,plain,
% 15.60/11.66 (~(v197(constB192) | v198(constB192))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32420, 32419, 31577])).
% 15.60/11.66 tff(32422,plain,
% 15.60/11.66 ((~(v194(constB192) <=> (v197(constB192) | v198(constB192)))) | (~v194(constB192)) | (v197(constB192) | v198(constB192))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32423,plain,
% 15.60/11.66 (~v194(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32422, 32421, 31543])).
% 15.60/11.66 tff(32424,plain,
% 15.60/11.66 ((~(v196(constB193) <=> v194(constB192))) | (~v196(constB193)) | v194(constB192)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32425,plain,
% 15.60/11.66 (~v196(constB193)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32424, 32423, 31541])).
% 15.60/11.66 tff(32426,plain,
% 15.60/11.66 ((~(v191(constB193) <=> v196(constB193))) | (~v191(constB193)) | v196(constB193)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32427,plain,
% 15.60/11.66 (~v191(constB193)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32426, 32425, 31534])).
% 15.60/11.66 tff(32428,plain,
% 15.60/11.66 (((~v191(constB193)) | (~v206(constB193))) | v191(constB193)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32429,plain,
% 15.60/11.66 ((~v191(constB193)) | (~v206(constB193))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32428, 32427])).
% 15.60/11.66 tff(32430,plain,
% 15.60/11.66 ((~(v209(constB193) <=> (~((~v191(constB193)) | (~v206(constB193)))))) | (~v209(constB193)) | (~((~v191(constB193)) | (~v206(constB193))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32431,plain,
% 15.60/11.66 (~v209(constB193)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32430, 32429, 31532])).
% 15.60/11.66 tff(32432,plain,
% 15.60/11.66 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193))))))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32433,plain,
% 15.60/11.66 ((v205(constB193) <=> (~((~v206(constB193)) | (~v158(constB193))))) <=> (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193)))))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32434,plain,
% 15.60/11.66 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v206(constB193)) | (~v158(constB193)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193))))))),
% 15.60/11.66 inference(monotonicity,[status(thm)],[32433])).
% 15.60/11.66 tff(32435,plain,
% 15.60/11.66 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v206(constB193)) | (~v158(constB193)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193))))))),
% 15.60/11.66 inference(transitivity,[status(thm)],[32434, 32432])).
% 15.60/11.66 tff(32436,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v206(constB193)) | (~v158(constB193)))))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32437,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193)))))),
% 15.60/11.66 inference(modus_ponens,[status(thm)],[32436, 32435])).
% 15.60/11.66 tff(32438,plain,
% 15.60/11.66 (v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193))))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32437, 2502])).
% 15.60/11.66 tff(32439,plain,
% 15.60/11.66 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB193) <=> v180(constB193))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32440,plain,
% 15.60/11.66 (v158(constB193) <=> v180(constB193)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32439, 358])).
% 15.60/11.66 tff(32441,plain,
% 15.60/11.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB192, constB193)) | (v180(constB193) <=> v178(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB192, constB193)) | (v180(constB193) <=> v178(constB192)))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32442,plain,
% 15.60/11.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB192, constB193)) | (v180(constB193) <=> v178(constB192)))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32443,plain,
% 15.60/11.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB192, constB193)) | (v180(constB193) <=> v178(constB192))),
% 15.60/11.66 inference(modus_ponens,[status(thm)],[32442, 32441])).
% 15.60/11.66 tff(32444,plain,
% 15.60/11.66 (v180(constB193) <=> v178(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32443, 31537, 370])).
% 15.60/11.66 tff(32445,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB192) <=> (v181(constB192) | v185(constB192)))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32446,plain,
% 15.60/11.66 (v178(constB192) <=> (v181(constB192) | v185(constB192))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32445, 384])).
% 15.60/11.66 tff(32447,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB192) <=> (~((~v186(constB192)) | (~v187(constB192)))))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32448,plain,
% 15.60/11.66 (v185(constB192) <=> (~((~v186(constB192)) | (~v187(constB192))))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32447, 396])).
% 15.60/11.66 tff(32449,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB192) <=> (~((~v184(constB192)) | (~v160(constB192)))))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32450,plain,
% 15.60/11.66 (v187(constB192) <=> (~((~v184(constB192)) | (~v160(constB192))))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32449, 408])).
% 15.60/11.66 tff(32451,plain,
% 15.60/11.66 (((~v184(constB192)) | (~v160(constB192))) | v184(constB192)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32452,plain,
% 15.60/11.66 ((~v184(constB192)) | (~v160(constB192))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32451, 31564])).
% 15.60/11.66 tff(32453,plain,
% 15.60/11.66 ((~(v187(constB192) <=> (~((~v184(constB192)) | (~v160(constB192)))))) | (~v187(constB192)) | (~((~v184(constB192)) | (~v160(constB192))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32454,plain,
% 15.60/11.66 ((~(v187(constB192) <=> (~((~v184(constB192)) | (~v160(constB192)))))) | (~v187(constB192))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32453, 32452])).
% 15.60/11.66 tff(32455,plain,
% 15.60/11.66 (~v187(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32454, 32450])).
% 15.60/11.66 tff(32456,plain,
% 15.60/11.66 (((~v186(constB192)) | (~v187(constB192))) | v187(constB192)),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32457,plain,
% 15.60/11.66 ((~v186(constB192)) | (~v187(constB192))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32456, 32455])).
% 15.60/11.66 tff(32458,plain,
% 15.60/11.66 ((~(v185(constB192) <=> (~((~v186(constB192)) | (~v187(constB192)))))) | (~v185(constB192)) | (~((~v186(constB192)) | (~v187(constB192))))),
% 15.60/11.66 inference(tautology,[status(thm)],[])).
% 15.60/11.66 tff(32459,plain,
% 15.60/11.66 (~v185(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32458, 32457, 32448])).
% 15.60/11.66 tff(32460,plain,
% 15.60/11.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192))))))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32461,plain,
% 15.60/11.66 ((v181(constB192) <=> (~((~v182(constB192)) | (~v158(constB192))))) <=> (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192)))))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32462,plain,
% 15.60/11.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v182(constB192)) | (~v158(constB192)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192))))))),
% 15.60/11.66 inference(monotonicity,[status(thm)],[32461])).
% 15.60/11.66 tff(32463,plain,
% 15.60/11.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v182(constB192)) | (~v158(constB192)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192))))))),
% 15.60/11.66 inference(transitivity,[status(thm)],[32462, 32460])).
% 15.60/11.66 tff(32464,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v182(constB192)) | (~v158(constB192)))))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32465,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192)))))),
% 15.60/11.66 inference(modus_ponens,[status(thm)],[32464, 32463])).
% 15.60/11.66 tff(32466,plain,
% 15.60/11.66 (v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192))))),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32465, 444])).
% 15.60/11.66 tff(32467,plain,
% 15.60/11.66 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB192) <=> v180(constB192))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32468,plain,
% 15.60/11.66 (v158(constB192) <=> v180(constB192)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32467, 358])).
% 15.60/11.66 tff(32469,plain,
% 15.60/11.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB191, constB192)) | (v180(constB192) <=> v178(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB191, constB192)) | (v180(constB192) <=> v178(constB191)))),
% 15.60/11.66 inference(rewrite,[status(thm)],[])).
% 15.60/11.66 tff(32470,plain,
% 15.60/11.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB191, constB192)) | (v180(constB192) <=> v178(constB191)))),
% 15.60/11.66 inference(quant_inst,[status(thm)],[])).
% 15.60/11.66 tff(32471,plain,
% 15.60/11.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB191, constB192)) | (v180(constB192) <=> v178(constB191))),
% 15.60/11.66 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 15.60/11.66 tff(32472,plain,
% 15.60/11.66 (v180(constB192) <=> v178(constB191)),
% 15.60/11.66 inference(unit_resolution,[status(thm)],[32471, 31584, 370])).
% 15.60/11.66 tff(32473,plain,
% 15.60/11.66 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB191) <=> (v181(constB191) | v185(constB191)))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32474,plain,
% 15.60/11.67 (v178(constB191) <=> (v181(constB191) | v185(constB191))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32473, 384])).
% 15.60/11.67 tff(32475,plain,
% 15.60/11.67 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32476,plain,
% 15.60/11.67 ((v181(constB191) <=> (~((~v182(constB191)) | (~v158(constB191))))) <=> (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191)))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32477,plain,
% 15.60/11.67 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v182(constB191)) | (~v158(constB191)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191))))))),
% 15.60/11.67 inference(monotonicity,[status(thm)],[32476])).
% 15.60/11.67 tff(32478,plain,
% 15.60/11.67 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v182(constB191)) | (~v158(constB191)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191))))))),
% 15.60/11.67 inference(transitivity,[status(thm)],[32477, 32475])).
% 15.60/11.67 tff(32479,plain,
% 15.60/11.67 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v182(constB191)) | (~v158(constB191)))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32480,plain,
% 15.60/11.67 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191)))))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32479, 32478])).
% 15.60/11.67 tff(32481,plain,
% 15.60/11.67 (v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32480, 444])).
% 15.60/11.67 tff(32482,plain,
% 15.60/11.67 (((~v158(constB191)) | (~v182(constB191))) | v182(constB191)),
% 15.60/11.67 inference(tautology,[status(thm)],[])).
% 15.60/11.67 tff(32483,plain,
% 15.60/11.67 ((~v158(constB191)) | (~v182(constB191))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32482, 31657])).
% 15.60/11.67 tff(32484,plain,
% 15.60/11.67 ((~(v181(constB191) <=> (~((~v158(constB191)) | (~v182(constB191)))))) | (~v181(constB191)) | (~((~v158(constB191)) | (~v182(constB191))))),
% 15.60/11.67 inference(tautology,[status(thm)],[])).
% 15.60/11.67 tff(32485,plain,
% 15.60/11.67 (~v181(constB191)),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32484, 32483, 32481])).
% 15.60/11.67 tff(32486,plain,
% 15.60/11.67 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB191) <=> (~((~v186(constB191)) | (~v187(constB191)))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32487,plain,
% 15.60/11.67 (v185(constB191) <=> (~((~v186(constB191)) | (~v187(constB191))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32486, 396])).
% 15.60/11.67 tff(32488,plain,
% 15.60/11.67 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB191) <=> (~((~v184(constB191)) | (~v160(constB191)))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32489,plain,
% 15.60/11.67 (v187(constB191) <=> (~((~v184(constB191)) | (~v160(constB191))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32488, 408])).
% 15.60/11.67 tff(32490,plain,
% 15.60/11.67 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB191) <=> v162(constB191))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32491,plain,
% 15.60/11.67 (v160(constB191) <=> v162(constB191)),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32490, 549])).
% 15.60/11.67 tff(32492,plain,
% 15.60/11.67 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32493,plain,
% 15.60/11.67 (v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32492, 564])).
% 15.60/11.67 tff(32494,plain,
% 15.60/11.67 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB191, bitIndex2) <=> v90(constB191, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB191, bitIndex2) <=> v90(constB191, bitIndex2)))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32495,plain,
% 15.60/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB191, bitIndex2) <=> v90(constB191, bitIndex2)))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32496,plain,
% 15.60/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB191, bitIndex2) <=> v90(constB191, bitIndex2))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32495, 32494])).
% 15.60/11.67 tff(32497,plain,
% 15.60/11.67 (v88(constB191, bitIndex2) <=> v90(constB191, bitIndex2)),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32496, 579, 576])).
% 15.60/11.67 tff(32498,plain,
% 15.60/11.67 (((~![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))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32499,plain,
% 15.60/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32500,plain,
% 15.60/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32499, 32498])).
% 15.60/11.67 tff(32501,plain,
% 15.60/11.67 (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32500, 31668, 596])).
% 15.60/11.67 tff(32502,plain,
% 15.60/11.67 (((~![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))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32503,plain,
% 15.60/11.67 (((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32504,plain,
% 15.60/11.67 (((~![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)))))))),
% 15.60/11.67 inference(monotonicity,[status(thm)],[32503])).
% 15.60/11.67 tff(32505,plain,
% 15.60/11.67 (((~![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))))))),
% 15.60/11.67 inference(transitivity,[status(thm)],[32504, 32502])).
% 15.60/11.67 tff(32506,plain,
% 15.60/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32507,plain,
% 15.60/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32506, 32505])).
% 15.60/11.67 tff(32508,plain,
% 15.60/11.67 (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32507, 31668, 616])).
% 15.60/11.67 tff(32509,plain,
% 15.60/11.67 (((~v1(constB191)) | (~v102(constB191))) | v1(constB191)),
% 15.60/11.67 inference(tautology,[status(thm)],[])).
% 15.60/11.67 tff(32510,plain,
% 15.60/11.67 ((~v1(constB191)) | (~v102(constB191))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32509, 31643])).
% 15.60/11.67 tff(32511,plain,
% 15.60/11.67 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191)) | (~((~v1(constB191)) | (~v102(constB191))))),
% 15.60/11.67 inference(tautology,[status(thm)],[])).
% 15.60/11.67 tff(32512,plain,
% 15.60/11.67 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32511, 32510])).
% 15.60/11.67 tff(32513,plain,
% 15.60/11.67 (~v101(constB191)),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32512, 32508])).
% 15.60/11.67 tff(32514,plain,
% 15.60/11.67 (((~v101(constB191)) | (~v110(constB191))) | v101(constB191)),
% 15.60/11.67 inference(tautology,[status(thm)],[])).
% 15.60/11.67 tff(32515,plain,
% 15.60/11.67 ((~v101(constB191)) | (~v110(constB191))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32514, 32513])).
% 15.60/11.67 tff(32516,plain,
% 15.60/11.67 ((~(v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))) | (~v100(constB191)) | (~((~v101(constB191)) | (~v110(constB191))))),
% 15.60/11.67 inference(tautology,[status(thm)],[])).
% 15.60/11.67 tff(32517,plain,
% 15.60/11.67 (~v100(constB191)),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32516, 32515, 32501])).
% 15.60/11.67 tff(32518,plain,
% 15.60/11.67 (((~![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))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32519,plain,
% 15.60/11.67 ((~![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))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32520,plain,
% 15.60/11.67 ((~![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)))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32519, 32518])).
% 15.60/11.67 tff(32521,plain,
% 15.60/11.67 (v100(constB191) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32520, 31668, 645])).
% 15.60/11.67 tff(32522,plain,
% 15.60/11.67 (![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32521, 32517])).
% 15.60/11.67 tff(32523,plain,
% 15.60/11.67 (((~![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)))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32524,plain,
% 15.60/11.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32525,plain,
% 15.60/11.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32524, 32523])).
% 15.60/11.67 tff(32526,plain,
% 15.60/11.67 (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32525, 579, 32522])).
% 15.60/11.67 tff(32527,plain,
% 15.60/11.67 (((~![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))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32528,plain,
% 15.60/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 15.60/11.67 inference(quant_inst,[status(thm)],[])).
% 15.60/11.67 tff(32529,plain,
% 15.60/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))),
% 15.60/11.67 inference(modus_ponens,[status(thm)],[32528, 32527])).
% 15.60/11.67 tff(32530,plain,
% 15.60/11.67 (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))),
% 15.60/11.67 inference(unit_resolution,[status(thm)],[32529, 31714, 596])).
% 15.60/11.67 tff(32531,plain,
% 15.60/11.67 (((~![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))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32532,plain,
% 15.60/11.67 (((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 15.60/11.67 inference(rewrite,[status(thm)],[])).
% 15.60/11.67 tff(32533,plain,
% 15.60/11.67 (((~![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)))))))),
% 15.60/11.67 inference(monotonicity,[status(thm)],[32532])).
% 15.60/11.67 tff(32534,plain,
% 15.60/11.67 (((~![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))))))),
% 15.60/11.68 inference(transitivity,[status(thm)],[32533, 32531])).
% 15.60/11.68 tff(32535,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32536,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 15.60/11.68 tff(32537,plain,
% 15.60/11.68 (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32536, 31714, 616])).
% 15.60/11.68 tff(32538,plain,
% 15.60/11.68 (((~![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)))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32539,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32540,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 15.60/11.68 tff(32541,plain,
% 15.60/11.68 ((~v102(constB190)) <=> v104(constB190)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32540, 31714, 678])).
% 15.60/11.68 tff(32542,plain,
% 15.60/11.68 (((~![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)))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32543,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32544,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 15.60/11.68 tff(32545,plain,
% 15.60/11.68 (v104(constB190) <=> v1(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32544, 31714, 692])).
% 15.60/11.68 tff(32546,plain,
% 15.60/11.68 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190)) | v1(constB189)),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32547,plain,
% 15.60/11.68 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32546, 31778])).
% 15.60/11.68 tff(32548,plain,
% 15.60/11.68 (~v104(constB190)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32547, 32545])).
% 15.60/11.68 tff(32549,plain,
% 15.60/11.68 ((~((~v102(constB190)) <=> v104(constB190))) | v102(constB190) | v104(constB190)),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32550,plain,
% 15.60/11.68 (v102(constB190)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32549, 32548, 32541])).
% 15.60/11.68 tff(32551,plain,
% 15.60/11.68 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v1(constB190)) | (~v102(constB190))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32552,plain,
% 15.60/11.68 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v102(constB190))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32551, 31685])).
% 15.60/11.68 tff(32553,plain,
% 15.60/11.68 (~((~v1(constB190)) | (~v102(constB190)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32552, 32550])).
% 15.60/11.68 tff(32554,plain,
% 15.60/11.68 ((~(v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))) | v101(constB190) | ((~v1(constB190)) | (~v102(constB190)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32555,plain,
% 15.60/11.68 (v101(constB190)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32554, 32553, 32537])).
% 15.60/11.68 tff(32556,plain,
% 15.60/11.68 (((~![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)))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32557,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32558,plain,
% 15.60/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32557, 32556])).
% 15.60/11.68 tff(32559,plain,
% 15.60/11.68 (v110(constB190) <=> v108(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32558, 31714, 722])).
% 15.60/11.68 tff(32560,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB189) <=> (v111(constB189) | v112(constB189)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32561,plain,
% 15.60/11.68 (v108(constB189) <=> (v111(constB189) | v112(constB189))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32560, 733])).
% 15.60/11.68 tff(32562,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32563,plain,
% 15.60/11.68 (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189))))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32562, 745])).
% 15.60/11.68 tff(32564,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB189) <=> (v114(constB189) | v125(constB189)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32565,plain,
% 15.60/11.68 (v113(constB189) <=> (v114(constB189) | v125(constB189))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32564, 754])).
% 15.60/11.68 tff(32566,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB189) <=> (v115(constB189) | v124(constB189)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32567,plain,
% 15.60/11.68 (v114(constB189) <=> (v115(constB189) | v124(constB189))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32566, 763])).
% 15.60/11.68 tff(32568,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB189) <=> (v116(constB189) | v123(constB189)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32569,plain,
% 15.60/11.68 (v115(constB189) <=> (v116(constB189) | v123(constB189))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32568, 772])).
% 15.60/11.68 tff(32570,plain,
% 15.60/11.68 (((~![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)))))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32571,plain,
% 15.60/11.68 ((v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2))))) <=> (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32572,plain,
% 15.60/11.68 (((~![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)))))),
% 15.60/11.68 inference(monotonicity,[status(thm)],[32571])).
% 15.60/11.68 tff(32573,plain,
% 15.60/11.68 (((~![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)))))),
% 15.60/11.68 inference(transitivity,[status(thm)],[32572, 32570])).
% 15.60/11.68 tff(32574,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32575,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32574, 32573])).
% 15.60/11.68 tff(32576,plain,
% 15.60/11.68 (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32575, 787])).
% 15.60/11.68 tff(32577,plain,
% 15.60/11.68 ((~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))) | (~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32578,plain,
% 15.60/11.68 (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32577, 32351, 32314, 32234])).
% 15.60/11.68 tff(32579,plain,
% 15.60/11.68 ((~(v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))) | v123(constB189) | ((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32580,plain,
% 15.60/11.68 (v123(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32579, 32578, 32576])).
% 15.60/11.68 tff(32581,plain,
% 15.60/11.68 ((v116(constB189) | v123(constB189)) | (~v123(constB189))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32582,plain,
% 15.60/11.68 (v116(constB189) | v123(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32581, 32580])).
% 15.60/11.68 tff(32583,plain,
% 15.60/11.68 ((~(v115(constB189) <=> (v116(constB189) | v123(constB189)))) | v115(constB189) | (~(v116(constB189) | v123(constB189)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32584,plain,
% 15.60/11.68 (v115(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32583, 32582, 32569])).
% 15.60/11.68 tff(32585,plain,
% 15.60/11.68 ((v115(constB189) | v124(constB189)) | (~v115(constB189))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32586,plain,
% 15.60/11.68 (v115(constB189) | v124(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32585, 32584])).
% 15.60/11.68 tff(32587,plain,
% 15.60/11.68 ((~(v114(constB189) <=> (v115(constB189) | v124(constB189)))) | v114(constB189) | (~(v115(constB189) | v124(constB189)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32588,plain,
% 15.60/11.68 (v114(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32587, 32586, 32567])).
% 15.60/11.68 tff(32589,plain,
% 15.60/11.68 ((v114(constB189) | v125(constB189)) | (~v114(constB189))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32590,plain,
% 15.60/11.68 (v114(constB189) | v125(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32589, 32588])).
% 15.60/11.68 tff(32591,plain,
% 15.60/11.68 ((~(v113(constB189) <=> (v114(constB189) | v125(constB189)))) | v113(constB189) | (~(v114(constB189) | v125(constB189)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32592,plain,
% 15.60/11.68 (v113(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32591, 32590, 32565])).
% 15.60/11.68 tff(32593,plain,
% 15.60/11.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB189)) <=> v111(constB189))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32594,plain,
% 15.60/11.68 ((~v126(constB189)) <=> v111(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32593, 1345])).
% 15.60/11.68 tff(32595,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB189) <=> v26(constB189))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32596,plain,
% 15.60/11.68 (v111(constB189) <=> v26(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32595, 1357])).
% 15.60/11.68 tff(32597,plain,
% 15.60/11.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32598,plain,
% 15.60/11.68 (~v26(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32597, 1369])).
% 15.60/11.68 tff(32599,plain,
% 15.60/11.68 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189)) | v26(constB189)),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32600,plain,
% 15.60/11.68 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32599, 32598])).
% 15.60/11.68 tff(32601,plain,
% 15.60/11.68 (~v111(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32600, 32596])).
% 15.60/11.68 tff(32602,plain,
% 15.60/11.68 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189) | v111(constB189)),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32603,plain,
% 15.60/11.68 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32602, 32601])).
% 15.60/11.68 tff(32604,plain,
% 15.60/11.68 (v126(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32603, 32594])).
% 15.60/11.68 tff(32605,plain,
% 15.60/11.68 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189)) | (~v126(constB189))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32606,plain,
% 15.60/11.68 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32605, 32604])).
% 15.60/11.68 tff(32607,plain,
% 15.60/11.68 (~((~v113(constB189)) | (~v126(constB189)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32606, 32592])).
% 15.60/11.68 tff(32608,plain,
% 15.60/11.68 ((~(v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))) | v112(constB189) | ((~v113(constB189)) | (~v126(constB189)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32609,plain,
% 15.60/11.68 (v112(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32608, 32607, 32563])).
% 15.60/11.68 tff(32610,plain,
% 15.60/11.68 ((v111(constB189) | v112(constB189)) | (~v112(constB189))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32611,plain,
% 15.60/11.68 (v111(constB189) | v112(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32610, 32609])).
% 15.60/11.68 tff(32612,plain,
% 15.60/11.68 ((~(v108(constB189) <=> (v111(constB189) | v112(constB189)))) | v108(constB189) | (~(v111(constB189) | v112(constB189)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32613,plain,
% 15.60/11.68 (v108(constB189)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32612, 32611, 32561])).
% 15.60/11.68 tff(32614,plain,
% 15.60/11.68 ((~(v110(constB190) <=> v108(constB189))) | v110(constB190) | (~v108(constB189))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32615,plain,
% 15.60/11.68 (v110(constB190)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32614, 32613, 32559])).
% 15.60/11.68 tff(32616,plain,
% 15.60/11.68 ((~((~v101(constB190)) | (~v110(constB190)))) | (~v101(constB190)) | (~v110(constB190))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32617,plain,
% 15.60/11.68 (~((~v101(constB190)) | (~v110(constB190)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32616, 32615, 32555])).
% 15.60/11.68 tff(32618,plain,
% 15.60/11.68 ((~(v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))) | v100(constB190) | ((~v101(constB190)) | (~v110(constB190)))),
% 15.60/11.68 inference(tautology,[status(thm)],[])).
% 15.60/11.68 tff(32619,plain,
% 15.60/11.68 (v100(constB190)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32618, 32617, 32530])).
% 15.60/11.68 tff(32620,plain,
% 15.60/11.68 (((~![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))))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32621,plain,
% 15.60/11.68 ((~![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))))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32622,plain,
% 15.60/11.68 ((~![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)))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32621, 32620])).
% 15.60/11.68 tff(32623,plain,
% 15.60/11.68 ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32622, 1405])).
% 15.60/11.68 tff(32624,plain,
% 15.60/11.68 (![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32623, 32619])).
% 15.60/11.68 tff(32625,plain,
% 15.60/11.68 (((~![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)))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32626,plain,
% 15.60/11.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32627,plain,
% 15.60/11.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 15.60/11.68 tff(32628,plain,
% 15.60/11.68 (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32627, 579, 32624])).
% 15.60/11.68 tff(32629,plain,
% 15.60/11.68 (((~![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))))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32630,plain,
% 15.60/11.68 ((~![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))))),
% 15.60/11.68 inference(quant_inst,[status(thm)],[])).
% 15.60/11.68 tff(32631,plain,
% 15.60/11.68 ((~![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)))),
% 15.60/11.68 inference(modus_ponens,[status(thm)],[32630, 32629])).
% 15.60/11.68 tff(32632,plain,
% 15.60/11.68 (![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))),
% 15.60/11.68 inference(unit_resolution,[status(thm)],[32631, 31714, 1427])).
% 15.60/11.68 tff(32633,plain,
% 15.60/11.68 (((~![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)))),
% 15.60/11.68 inference(rewrite,[status(thm)],[])).
% 15.60/11.68 tff(32634,plain,
% 15.60/11.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32635,plain,
% 15.60/11.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32634, 32633])).
% 15.60/11.69 tff(32636,plain,
% 15.60/11.69 (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32635, 579, 32632])).
% 15.60/11.69 tff(32637,plain,
% 15.60/11.69 (((~![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))))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32638,plain,
% 15.60/11.69 ((~![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))))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32639,plain,
% 15.60/11.69 ((~![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)))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32638, 32637])).
% 15.60/11.69 tff(32640,plain,
% 15.60/11.69 (![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32639, 1448, 32601])).
% 15.60/11.69 tff(32641,plain,
% 15.60/11.69 (((~![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)))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32642,plain,
% 15.60/11.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32643,plain,
% 15.60/11.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32642, 32641])).
% 15.60/11.69 tff(32644,plain,
% 15.60/11.69 (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32643, 579, 32640])).
% 15.60/11.69 tff(32645,plain,
% 15.60/11.69 (((~![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))))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32646,plain,
% 15.60/11.69 ((~![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))))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32647,plain,
% 15.60/11.69 ((~![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)))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32646, 32645])).
% 15.60/11.69 tff(32648,plain,
% 15.60/11.69 ((~v123(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32647, 2180])).
% 15.60/11.69 tff(32649,plain,
% 15.60/11.69 (![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32648, 32580])).
% 15.60/11.69 tff(32650,plain,
% 15.60/11.69 (((~![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)))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32651,plain,
% 15.60/11.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b101(bitIndex2)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32652,plain,
% 15.60/11.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b101(bitIndex2))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32651, 32650])).
% 15.60/11.69 tff(32653,plain,
% 15.60/11.69 (v130(constB189, bitIndex2) <=> b101(bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32652, 579, 32649])).
% 15.60/11.69 tff(32654,plain,
% 15.60/11.69 ((~(v130(constB189, bitIndex2) <=> b101(bitIndex2))) | v130(constB189, bitIndex2) | (~b101(bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32655,plain,
% 15.60/11.69 ((~(v130(constB189, bitIndex2) <=> b101(bitIndex2))) | v130(constB189, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32654, 2192])).
% 15.60/11.69 tff(32656,plain,
% 15.60/11.69 (v130(constB189, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32655, 32653])).
% 15.60/11.69 tff(32657,plain,
% 15.60/11.69 ((~(v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2))) | v127(constB189, bitIndex2) | (~v130(constB189, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32658,plain,
% 15.60/11.69 (v127(constB189, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32657, 32656, 32644])).
% 15.60/11.69 tff(32659,plain,
% 15.60/11.69 ((~(v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2))) | v129(constB190, bitIndex2) | (~v127(constB189, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32660,plain,
% 15.60/11.69 (v129(constB190, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32659, 32658, 32636])).
% 15.60/11.69 tff(32661,plain,
% 15.60/11.69 ((~(v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32662,plain,
% 15.60/11.69 (v90(constB190, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32661, 32660, 32628])).
% 15.60/11.69 tff(32663,plain,
% 15.60/11.69 ((~(v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2))) | v90(constB191, bitIndex2) | (~v90(constB190, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32664,plain,
% 15.60/11.69 (v90(constB191, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32663, 32662, 32526])).
% 15.60/11.69 tff(32665,plain,
% 15.60/11.69 ((~(v88(constB191, bitIndex2) <=> v90(constB191, bitIndex2))) | v88(constB191, bitIndex2) | (~v90(constB191, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32666,plain,
% 15.60/11.69 (v88(constB191, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32665, 32664, 32497])).
% 15.60/11.69 tff(32667,plain,
% 15.60/11.69 ((v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0))) | (~v88(constB191, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32668,plain,
% 15.60/11.69 (v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32667, 32666])).
% 15.60/11.69 tff(32669,plain,
% 15.60/11.69 ((~(v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)))))) | (~v141(constB191)) | (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0))))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32670,plain,
% 15.60/11.69 (~v141(constB191)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32669, 32668, 32493])).
% 15.60/11.69 tff(32671,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB191) <=> (v139(constB191) | v140(constB191)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32672,plain,
% 15.60/11.69 (v170(constB191) <=> (v139(constB191) | v140(constB191))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32671, 2216])).
% 15.60/11.69 tff(32673,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB191) <=> (~(v88(constB191, bitIndex0) | v88(constB191, bitIndex1) | v88(constB191, bitIndex2))))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32674,plain,
% 15.60/11.69 (v139(constB191) <=> (~(v88(constB191, bitIndex0) | v88(constB191, bitIndex1) | v88(constB191, bitIndex2)))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32673, 2231])).
% 15.60/11.69 tff(32675,plain,
% 15.60/11.69 ((v88(constB191, bitIndex0) | v88(constB191, bitIndex1) | v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32676,plain,
% 15.60/11.69 (v88(constB191, bitIndex0) | v88(constB191, bitIndex1) | v88(constB191, bitIndex2)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32675, 32666])).
% 15.60/11.69 tff(32677,plain,
% 15.60/11.69 ((~(v139(constB191) <=> (~(v88(constB191, bitIndex0) | v88(constB191, bitIndex1) | v88(constB191, bitIndex2))))) | (~v139(constB191)) | (~(v88(constB191, bitIndex0) | v88(constB191, bitIndex1) | v88(constB191, bitIndex2)))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32678,plain,
% 15.60/11.69 (~v139(constB191)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32677, 32676, 32674])).
% 15.60/11.69 tff(32679,plain,
% 15.60/11.69 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32680,plain,
% 15.60/11.69 ((v140(constB191) <=> (~(v88(constB191, bitIndex1) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0))))) <=> (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32681,plain,
% 15.60/11.69 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex1) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))))),
% 15.60/11.69 inference(monotonicity,[status(thm)],[32680])).
% 15.60/11.69 tff(32682,plain,
% 15.60/11.69 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex1) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))))),
% 15.60/11.69 inference(transitivity,[status(thm)],[32681, 32679])).
% 15.60/11.69 tff(32683,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex1) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32684,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32683, 32682])).
% 15.60/11.69 tff(32685,plain,
% 15.60/11.69 (v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32684, 2250])).
% 15.60/11.69 tff(32686,plain,
% 15.60/11.69 ((v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))) | (~v88(constB191, bitIndex2))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32687,plain,
% 15.60/11.69 (v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32686, 32666])).
% 15.60/11.69 tff(32688,plain,
% 15.60/11.69 ((~(v140(constB191) <=> (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))) | (~v140(constB191)) | (~(v88(constB191, bitIndex2) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32689,plain,
% 15.60/11.69 (~v140(constB191)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32688, 32687, 32685])).
% 15.60/11.69 tff(32690,plain,
% 15.60/11.69 ((~(v139(constB191) | v140(constB191))) | v139(constB191) | v140(constB191)),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32691,plain,
% 15.60/11.69 (~(v139(constB191) | v140(constB191))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32690, 32689, 32678])).
% 15.60/11.69 tff(32692,plain,
% 15.60/11.69 ((~(v170(constB191) <=> (v139(constB191) | v140(constB191)))) | (~v170(constB191)) | (v139(constB191) | v140(constB191))),
% 15.60/11.69 inference(tautology,[status(thm)],[])).
% 15.60/11.69 tff(32693,plain,
% 15.60/11.69 (~v170(constB191)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32692, 32691, 32672])).
% 15.60/11.69 tff(32694,plain,
% 15.60/11.69 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB191) | v170(constB191) | (~v169(constB191)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB191) | v170(constB191) | (~v169(constB191)))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32695,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB191) | v170(constB191) | (~v169(constB191)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32696,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB191) | v170(constB191) | (~v169(constB191))),
% 15.60/11.69 inference(modus_ponens,[status(thm)],[32695, 32694])).
% 15.60/11.69 tff(32697,plain,
% 15.60/11.69 (v141(constB191) | v170(constB191) | (~v169(constB191))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32696, 2278])).
% 15.60/11.69 tff(32698,plain,
% 15.60/11.69 (~v169(constB191)),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32697, 32693, 32670])).
% 15.60/11.69 tff(32699,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB191) <=> (v145(constB191) | v166(constB191)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32700,plain,
% 15.60/11.69 (v165(constB191) <=> (v145(constB191) | v166(constB191))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32699, 2293])).
% 15.60/11.69 tff(32701,plain,
% 15.60/11.69 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB191) <=> (v146(constB191) | v147(constB191)))),
% 15.60/11.69 inference(quant_inst,[status(thm)],[])).
% 15.60/11.69 tff(32702,plain,
% 15.60/11.69 (v145(constB191) <=> (v146(constB191) | v147(constB191))),
% 15.60/11.69 inference(unit_resolution,[status(thm)],[32701, 2302])).
% 15.60/11.69 tff(32703,plain,
% 15.60/11.69 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32704,plain,
% 15.60/11.69 ((v147(constB191) <=> (~(v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | (~v88(constB191, bitIndex2))))) <=> (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))),
% 15.60/11.69 inference(rewrite,[status(thm)],[])).
% 15.60/11.69 tff(32705,plain,
% 15.60/11.69 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~(v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | (~v88(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))))),
% 15.60/11.70 inference(monotonicity,[status(thm)],[32704])).
% 15.60/11.70 tff(32706,plain,
% 15.60/11.70 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~(v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | (~v88(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))))),
% 15.60/11.70 inference(transitivity,[status(thm)],[32705, 32703])).
% 15.60/11.70 tff(32707,plain,
% 15.60/11.70 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~(v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | (~v88(constB191, bitIndex2)))))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32708,plain,
% 15.60/11.70 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 15.60/11.70 tff(32709,plain,
% 15.60/11.70 (v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))))),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32708, 2317])).
% 15.60/11.70 tff(32710,plain,
% 15.60/11.70 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB191, bitIndex0) <=> v90(constB191, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB191, bitIndex0) <=> v90(constB191, bitIndex0)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32711,plain,
% 15.60/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB191, bitIndex0) <=> v90(constB191, bitIndex0)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32712,plain,
% 15.60/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB191, bitIndex0) <=> v90(constB191, bitIndex0))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32711, 32710])).
% 15.60/11.70 tff(32713,plain,
% 15.60/11.70 (v88(constB191, bitIndex0) <=> v90(constB191, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32712, 1275, 576])).
% 15.60/11.70 tff(32714,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32715,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32716,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 15.60/11.70 tff(32717,plain,
% 15.60/11.70 (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32716, 1275, 32522])).
% 15.60/11.70 tff(32718,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32719,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32720,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32719, 32718])).
% 15.60/11.70 tff(32721,plain,
% 15.60/11.70 (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32720, 1275, 32624])).
% 15.60/11.70 tff(32722,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32723,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32724,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32723, 32722])).
% 15.60/11.70 tff(32725,plain,
% 15.60/11.70 (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32724, 1275, 32632])).
% 15.60/11.70 tff(32726,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32727,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32728,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32727, 32726])).
% 15.60/11.70 tff(32729,plain,
% 15.60/11.70 (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32728, 1275, 32640])).
% 15.60/11.70 tff(32730,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32731,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b101(bitIndex0)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32732,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b101(bitIndex0))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32731, 32730])).
% 15.60/11.70 tff(32733,plain,
% 15.60/11.70 (v130(constB189, bitIndex0) <=> b101(bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32732, 1275, 32649])).
% 15.60/11.70 tff(32734,plain,
% 15.60/11.70 ((~(v130(constB189, bitIndex0) <=> b101(bitIndex0))) | v130(constB189, bitIndex0) | (~b101(bitIndex0))),
% 15.60/11.70 inference(tautology,[status(thm)],[])).
% 15.60/11.70 tff(32735,plain,
% 15.60/11.70 ((~(v130(constB189, bitIndex0) <=> b101(bitIndex0))) | v130(constB189, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32734, 2351])).
% 15.60/11.70 tff(32736,plain,
% 15.60/11.70 (v130(constB189, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32735, 32733])).
% 15.60/11.70 tff(32737,plain,
% 15.60/11.70 ((~(v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0))) | v127(constB189, bitIndex0) | (~v130(constB189, bitIndex0))),
% 15.60/11.70 inference(tautology,[status(thm)],[])).
% 15.60/11.70 tff(32738,plain,
% 15.60/11.70 (v127(constB189, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32737, 32736, 32729])).
% 15.60/11.70 tff(32739,plain,
% 15.60/11.70 ((~(v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0))) | v129(constB190, bitIndex0) | (~v127(constB189, bitIndex0))),
% 15.60/11.70 inference(tautology,[status(thm)],[])).
% 15.60/11.70 tff(32740,plain,
% 15.60/11.70 (v129(constB190, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32739, 32738, 32725])).
% 15.60/11.70 tff(32741,plain,
% 15.60/11.70 ((~(v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0))),
% 15.60/11.70 inference(tautology,[status(thm)],[])).
% 15.60/11.70 tff(32742,plain,
% 15.60/11.70 (v90(constB190, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32741, 32740, 32721])).
% 15.60/11.70 tff(32743,plain,
% 15.60/11.70 ((~(v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0))) | v90(constB191, bitIndex0) | (~v90(constB190, bitIndex0))),
% 15.60/11.70 inference(tautology,[status(thm)],[])).
% 15.60/11.70 tff(32744,plain,
% 15.60/11.70 (v90(constB191, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32743, 32742, 32717])).
% 15.60/11.70 tff(32745,plain,
% 15.60/11.70 ((~(v88(constB191, bitIndex0) <=> v90(constB191, bitIndex0))) | v88(constB191, bitIndex0) | (~v90(constB191, bitIndex0))),
% 15.60/11.70 inference(tautology,[status(thm)],[])).
% 15.60/11.70 tff(32746,plain,
% 15.60/11.70 (v88(constB191, bitIndex0)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32745, 32744, 32713])).
% 15.60/11.70 tff(32747,plain,
% 15.60/11.70 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB191, bitIndex1) <=> v90(constB191, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB191, bitIndex1) <=> v90(constB191, bitIndex1)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32748,plain,
% 15.60/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB191, bitIndex1) <=> v90(constB191, bitIndex1)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32749,plain,
% 15.60/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB191, bitIndex1) <=> v90(constB191, bitIndex1))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32748, 32747])).
% 15.60/11.70 tff(32750,plain,
% 15.60/11.70 (v88(constB191, bitIndex1) <=> v90(constB191, bitIndex1)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32749, 1288, 576])).
% 15.60/11.70 tff(32751,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32752,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.70 tff(32753,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1))),
% 15.60/11.70 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 15.60/11.70 tff(32754,plain,
% 15.60/11.70 (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)),
% 15.60/11.70 inference(unit_resolution,[status(thm)],[32753, 1288, 32522])).
% 15.60/11.70 tff(32755,plain,
% 15.60/11.70 (((~![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)))),
% 15.60/11.70 inference(rewrite,[status(thm)],[])).
% 15.60/11.70 tff(32756,plain,
% 15.60/11.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))),
% 15.60/11.70 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32757,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 15.60/11.71 tff(32758,plain,
% 15.60/11.71 (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32757, 1288, 32624])).
% 15.60/11.71 tff(32759,plain,
% 15.60/11.71 (((~![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)))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32760,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32761,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32760, 32759])).
% 15.60/11.71 tff(32762,plain,
% 15.60/11.71 (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32761, 1288, 32632])).
% 15.60/11.71 tff(32763,plain,
% 15.60/11.71 (((~![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)))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32764,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32765,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32764, 32763])).
% 15.60/11.71 tff(32766,plain,
% 15.60/11.71 (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32765, 1288, 32640])).
% 15.60/11.71 tff(32767,plain,
% 15.60/11.71 (((~![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)))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32768,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b101(bitIndex1)))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32769,plain,
% 15.60/11.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b101(bitIndex1))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 15.60/11.71 tff(32770,plain,
% 15.60/11.71 (v130(constB189, bitIndex1) <=> b101(bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32769, 1288, 32649])).
% 15.60/11.71 tff(32771,plain,
% 15.60/11.71 ((~(v130(constB189, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB189, bitIndex1)) | b101(bitIndex1)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32772,plain,
% 15.60/11.71 ((~(v130(constB189, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB189, bitIndex1))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32771, 2391])).
% 15.60/11.71 tff(32773,plain,
% 15.60/11.71 (~v130(constB189, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32772, 32770])).
% 15.60/11.71 tff(32774,plain,
% 15.60/11.71 ((~(v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1))) | (~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32775,plain,
% 15.60/11.71 (~v127(constB189, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32774, 32773, 32766])).
% 15.60/11.71 tff(32776,plain,
% 15.60/11.71 ((~(v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1))) | (~v129(constB190, bitIndex1)) | v127(constB189, bitIndex1)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32777,plain,
% 15.60/11.71 (~v129(constB190, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32776, 32775, 32762])).
% 15.60/11.71 tff(32778,plain,
% 15.60/11.71 ((~(v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32779,plain,
% 15.60/11.71 (~v90(constB190, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32778, 32777, 32758])).
% 15.60/11.71 tff(32780,plain,
% 15.60/11.71 ((~(v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1))) | (~v90(constB191, bitIndex1)) | v90(constB190, bitIndex1)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32781,plain,
% 15.60/11.71 (~v90(constB191, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32780, 32779, 32754])).
% 15.60/11.71 tff(32782,plain,
% 15.60/11.71 ((~(v88(constB191, bitIndex1) <=> v90(constB191, bitIndex1))) | (~v88(constB191, bitIndex1)) | v90(constB191, bitIndex1)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32783,plain,
% 15.60/11.71 (~v88(constB191, bitIndex1)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32782, 32781, 32750])).
% 15.60/11.71 tff(32784,plain,
% 15.60/11.71 ((~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32785,plain,
% 15.60/11.71 (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32784, 32783, 32746, 32666])).
% 15.60/11.71 tff(32786,plain,
% 15.60/11.71 ((~(v147(constB191) <=> (~((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))))) | v147(constB191) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32787,plain,
% 15.60/11.71 (v147(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32786, 32785, 32709])).
% 15.60/11.71 tff(32788,plain,
% 15.60/11.71 ((v146(constB191) | v147(constB191)) | (~v147(constB191))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32789,plain,
% 15.60/11.71 (v146(constB191) | v147(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32788, 32787])).
% 15.60/11.71 tff(32790,plain,
% 15.60/11.71 ((~(v145(constB191) <=> (v146(constB191) | v147(constB191)))) | v145(constB191) | (~(v146(constB191) | v147(constB191)))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32791,plain,
% 15.60/11.71 (v145(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32790, 32789, 32702])).
% 15.60/11.71 tff(32792,plain,
% 15.60/11.71 ((v145(constB191) | v166(constB191)) | (~v145(constB191))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32793,plain,
% 15.60/11.71 (v145(constB191) | v166(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32792, 32791])).
% 15.60/11.71 tff(32794,plain,
% 15.60/11.71 ((~(v165(constB191) <=> (v145(constB191) | v166(constB191)))) | v165(constB191) | (~(v145(constB191) | v166(constB191)))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32795,plain,
% 15.60/11.71 (v165(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32794, 32793, 32700])).
% 15.60/11.71 tff(32796,plain,
% 15.60/11.71 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB191)) | (v162(constB191) <=> v169(constB191)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB191)) | (v162(constB191) <=> v169(constB191)))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32797,plain,
% 15.60/11.71 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB191)) | (v162(constB191) <=> v169(constB191)))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32798,plain,
% 15.60/11.71 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB191)) | (v162(constB191) <=> v169(constB191))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 15.60/11.71 tff(32799,plain,
% 15.60/11.71 ((~v165(constB191)) | (v162(constB191) <=> v169(constB191))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32798, 2426])).
% 15.60/11.71 tff(32800,plain,
% 15.60/11.71 (v162(constB191) <=> v169(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32799, 32795])).
% 15.60/11.71 tff(32801,plain,
% 15.60/11.71 ((~(v162(constB191) <=> v169(constB191))) | (~v162(constB191)) | v169(constB191)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32802,plain,
% 15.60/11.71 (~v162(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32801, 32800, 32698])).
% 15.60/11.71 tff(32803,plain,
% 15.60/11.71 ((~(v160(constB191) <=> v162(constB191))) | (~v160(constB191)) | v162(constB191)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32804,plain,
% 15.60/11.71 ((~(v160(constB191) <=> v162(constB191))) | (~v160(constB191))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32803, 32802])).
% 15.60/11.71 tff(32805,plain,
% 15.60/11.71 (~v160(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32804, 32491])).
% 15.60/11.71 tff(32806,plain,
% 15.60/11.71 (((~v184(constB191)) | (~v160(constB191))) | v160(constB191)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32807,plain,
% 15.60/11.71 ((~v184(constB191)) | (~v160(constB191))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32806, 32805])).
% 15.60/11.71 tff(32808,plain,
% 15.60/11.71 ((~(v187(constB191) <=> (~((~v184(constB191)) | (~v160(constB191)))))) | (~v187(constB191)) | (~((~v184(constB191)) | (~v160(constB191))))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32809,plain,
% 15.60/11.71 (~v187(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32808, 32807, 32489])).
% 15.60/11.71 tff(32810,plain,
% 15.60/11.71 (((~v186(constB191)) | (~v187(constB191))) | v187(constB191)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32811,plain,
% 15.60/11.71 ((~v186(constB191)) | (~v187(constB191))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32810, 32809])).
% 15.60/11.71 tff(32812,plain,
% 15.60/11.71 ((~(v185(constB191) <=> (~((~v186(constB191)) | (~v187(constB191)))))) | (~v185(constB191)) | (~((~v186(constB191)) | (~v187(constB191))))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32813,plain,
% 15.60/11.71 (~v185(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32812, 32811, 32487])).
% 15.60/11.71 tff(32814,plain,
% 15.60/11.71 ((~(v181(constB191) | v185(constB191))) | v181(constB191) | v185(constB191)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32815,plain,
% 15.60/11.71 (~(v181(constB191) | v185(constB191))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32814, 32813, 32485])).
% 15.60/11.71 tff(32816,plain,
% 15.60/11.71 ((~(v178(constB191) <=> (v181(constB191) | v185(constB191)))) | (~v178(constB191)) | (v181(constB191) | v185(constB191))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32817,plain,
% 15.60/11.71 (~v178(constB191)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32816, 32815, 32474])).
% 15.60/11.71 tff(32818,plain,
% 15.60/11.71 ((~(v180(constB192) <=> v178(constB191))) | (~v180(constB192)) | v178(constB191)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32819,plain,
% 15.60/11.71 (~v180(constB192)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32818, 32817, 32472])).
% 15.60/11.71 tff(32820,plain,
% 15.60/11.71 ((~(v158(constB192) <=> v180(constB192))) | (~v158(constB192)) | v180(constB192)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32821,plain,
% 15.60/11.71 (~v158(constB192)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32820, 32819, 32468])).
% 15.60/11.71 tff(32822,plain,
% 15.60/11.71 (((~v158(constB192)) | (~v182(constB192))) | v158(constB192)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32823,plain,
% 15.60/11.71 ((~v158(constB192)) | (~v182(constB192))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32822, 32821])).
% 15.60/11.71 tff(32824,plain,
% 15.60/11.71 ((~(v181(constB192) <=> (~((~v158(constB192)) | (~v182(constB192)))))) | (~v181(constB192)) | (~((~v158(constB192)) | (~v182(constB192))))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32825,plain,
% 15.60/11.71 (~v181(constB192)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32824, 32823, 32466])).
% 15.60/11.71 tff(32826,plain,
% 15.60/11.71 ((~(v181(constB192) | v185(constB192))) | v181(constB192) | v185(constB192)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32827,plain,
% 15.60/11.71 (~(v181(constB192) | v185(constB192))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32826, 32825, 32459])).
% 15.60/11.71 tff(32828,plain,
% 15.60/11.71 ((~(v178(constB192) <=> (v181(constB192) | v185(constB192)))) | (~v178(constB192)) | (v181(constB192) | v185(constB192))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32829,plain,
% 15.60/11.71 (~v178(constB192)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32828, 32827, 32446])).
% 15.60/11.71 tff(32830,plain,
% 15.60/11.71 ((~(v180(constB193) <=> v178(constB192))) | (~v180(constB193)) | v178(constB192)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32831,plain,
% 15.60/11.71 (~v180(constB193)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32830, 32829, 32444])).
% 15.60/11.71 tff(32832,plain,
% 15.60/11.71 ((~(v158(constB193) <=> v180(constB193))) | (~v158(constB193)) | v180(constB193)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32833,plain,
% 15.60/11.71 (~v158(constB193)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32832, 32831, 32440])).
% 15.60/11.71 tff(32834,plain,
% 15.60/11.71 (((~v158(constB193)) | (~v206(constB193))) | v158(constB193)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32835,plain,
% 15.60/11.71 ((~v158(constB193)) | (~v206(constB193))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32834, 32833])).
% 15.60/11.71 tff(32836,plain,
% 15.60/11.71 ((~(v205(constB193) <=> (~((~v158(constB193)) | (~v206(constB193)))))) | (~v205(constB193)) | (~((~v158(constB193)) | (~v206(constB193))))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32837,plain,
% 15.60/11.71 (~v205(constB193)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32836, 32835, 32438])).
% 15.60/11.71 tff(32838,plain,
% 15.60/11.71 ((~(v205(constB193) | v209(constB193))) | v205(constB193) | v209(constB193)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32839,plain,
% 15.60/11.71 (~(v205(constB193) | v209(constB193))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32838, 32837, 32431])).
% 15.60/11.71 tff(32840,plain,
% 15.60/11.71 ((~(v204(constB193) <=> (v205(constB193) | v209(constB193)))) | (~v204(constB193)) | (v205(constB193) | v209(constB193))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32841,plain,
% 15.60/11.71 (~v204(constB193)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32840, 32839, 31525])).
% 15.60/11.71 tff(32842,plain,
% 15.60/11.71 ($false),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32841, 31523])).
% 15.60/11.71 tff(32843,plain,(~(constB193 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.60/11.71 tff(32844,assumption,(constB130 = VarCurr!0), introduced(assumption)).
% 15.60/11.71 tff(32845,plain,
% 15.60/11.71 (v204(constB130) <=> v204(VarCurr!0)),
% 15.60/11.71 inference(monotonicity,[status(thm)],[32844])).
% 15.60/11.71 tff(32846,plain,
% 15.60/11.71 (v204(VarCurr!0) <=> v204(constB130)),
% 15.60/11.71 inference(symmetry,[status(thm)],[32845])).
% 15.60/11.71 tff(32847,plain,
% 15.60/11.71 (v204(constB130)),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[27, 32846])).
% 15.60/11.71 tff(32848,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB130) <=> (v205(constB130) | v209(constB130)))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32849,plain,
% 15.60/11.71 (v204(constB130) <=> (v205(constB130) | v209(constB130))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32848, 35])).
% 15.60/11.71 tff(32850,plain,
% 15.60/11.71 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130))))))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32851,plain,
% 15.60/11.71 ((v209(constB130) <=> (~((~v206(constB130)) | (~v191(constB130))))) <=> (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130)))))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32852,plain,
% 15.60/11.71 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v206(constB130)) | (~v191(constB130)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130))))))),
% 15.60/11.71 inference(monotonicity,[status(thm)],[32851])).
% 15.60/11.71 tff(32853,plain,
% 15.60/11.71 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v206(constB130)) | (~v191(constB130)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130))))))),
% 15.60/11.71 inference(transitivity,[status(thm)],[32852, 32850])).
% 15.60/11.71 tff(32854,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v206(constB130)) | (~v191(constB130)))))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32855,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130)))))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32854, 32853])).
% 15.60/11.71 tff(32856,plain,
% 15.60/11.71 (v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130))))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32855, 47])).
% 15.60/11.71 tff(32857,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB130) <=> (~((~v186(constB130)) | (~v207(constB130)))))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32858,plain,
% 15.60/11.71 (v206(constB130) <=> (~((~v186(constB130)) | (~v207(constB130))))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32857, 16227])).
% 15.60/11.71 tff(32859,plain,
% 15.60/11.71 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130))))))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32860,plain,
% 15.60/11.71 ((v207(constB130) <=> (~((~v208(constB130)) | (~v184(constB130))))) <=> (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130)))))),
% 15.60/11.71 inference(rewrite,[status(thm)],[])).
% 15.60/11.71 tff(32861,plain,
% 15.60/11.71 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v208(constB130)) | (~v184(constB130)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130))))))),
% 15.60/11.71 inference(monotonicity,[status(thm)],[32860])).
% 15.60/11.71 tff(32862,plain,
% 15.60/11.71 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v208(constB130)) | (~v184(constB130)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130))))))),
% 15.60/11.71 inference(transitivity,[status(thm)],[32861, 32859])).
% 15.60/11.71 tff(32863,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v208(constB130)) | (~v184(constB130)))))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32864,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130)))))),
% 15.60/11.71 inference(modus_ponens,[status(thm)],[32863, 32862])).
% 15.60/11.71 tff(32865,plain,
% 15.60/11.71 (v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130))))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32864, 16239])).
% 15.60/11.71 tff(32866,plain,
% 15.60/11.71 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32867,plain,
% 15.60/11.71 (v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130))))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32866, 138])).
% 15.60/11.71 tff(32868,plain,
% 15.60/11.71 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB130)) <=> v1(constB130))),
% 15.60/11.71 inference(quant_inst,[status(thm)],[])).
% 15.60/11.71 tff(32869,plain,
% 15.60/11.71 ((~v39(constB130)) <=> v1(constB130)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32868, 147])).
% 15.60/11.71 tff(32870,plain,
% 15.60/11.71 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130)) | (~v1(constB130))),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32871,plain,
% 15.60/11.71 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32870, 20855])).
% 15.60/11.71 tff(32872,plain,
% 15.60/11.71 (~v39(constB130)),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32871, 32869])).
% 15.60/11.71 tff(32873,plain,
% 15.60/11.71 (((~v39(constB130)) | (~v9(constB130))) | v39(constB130)),
% 15.60/11.71 inference(tautology,[status(thm)],[])).
% 15.60/11.71 tff(32874,plain,
% 15.60/11.71 ((~v39(constB130)) | (~v9(constB130))),
% 15.60/11.71 inference(unit_resolution,[status(thm)],[32873, 32872])).
% 15.66/11.72 tff(32875,plain,
% 15.66/11.72 ((~(v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v184(constB130)) | (~((~v39(constB130)) | (~v9(constB130))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32876,plain,
% 15.66/11.72 ((~(v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v184(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32875, 32874])).
% 15.66/11.72 tff(32877,plain,
% 15.66/11.72 (~v184(constB130)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32876, 32867])).
% 15.66/11.72 tff(32878,plain,
% 15.66/11.72 (((~v184(constB130)) | (~v208(constB130))) | v184(constB130)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32879,plain,
% 15.66/11.72 ((~v184(constB130)) | (~v208(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32878, 32877])).
% 15.66/11.72 tff(32880,plain,
% 15.66/11.72 ((~(v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130)))))) | (~v207(constB130)) | (~((~v184(constB130)) | (~v208(constB130))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32881,plain,
% 15.66/11.72 ((~(v207(constB130) <=> (~((~v184(constB130)) | (~v208(constB130)))))) | (~v207(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32880, 32879])).
% 15.66/11.72 tff(32882,plain,
% 15.66/11.72 (~v207(constB130)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32881, 32865])).
% 15.66/11.72 tff(32883,plain,
% 15.66/11.72 (((~v186(constB130)) | (~v207(constB130))) | v207(constB130)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32884,plain,
% 15.66/11.72 ((~v186(constB130)) | (~v207(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32883, 32882])).
% 15.66/11.72 tff(32885,plain,
% 15.66/11.72 ((~(v206(constB130) <=> (~((~v186(constB130)) | (~v207(constB130)))))) | (~v206(constB130)) | (~((~v186(constB130)) | (~v207(constB130))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32886,plain,
% 15.66/11.72 (~v206(constB130)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32885, 32884, 32858])).
% 15.66/11.72 tff(32887,plain,
% 15.66/11.72 (((~v191(constB130)) | (~v206(constB130))) | v206(constB130)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32888,plain,
% 15.66/11.72 ((~v191(constB130)) | (~v206(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32887, 32886])).
% 15.66/11.72 tff(32889,plain,
% 15.66/11.72 ((~(v209(constB130) <=> (~((~v191(constB130)) | (~v206(constB130)))))) | (~v209(constB130)) | (~((~v191(constB130)) | (~v206(constB130))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32890,plain,
% 15.66/11.72 (~v209(constB130)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32889, 32888, 32856])).
% 15.66/11.72 tff(32891,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130))))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32892,plain,
% 15.66/11.72 ((v205(constB130) <=> (~((~v206(constB130)) | (~v158(constB130))))) <=> (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130)))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32893,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v206(constB130)) | (~v158(constB130)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130))))))),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32892])).
% 15.66/11.72 tff(32894,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v206(constB130)) | (~v158(constB130)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130))))))),
% 15.66/11.72 inference(transitivity,[status(thm)],[32893, 32891])).
% 15.66/11.72 tff(32895,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v206(constB130)) | (~v158(constB130)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32896,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130)))))),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[32895, 32894])).
% 15.66/11.72 tff(32897,plain,
% 15.66/11.72 (v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32896, 2502])).
% 15.66/11.72 tff(32898,plain,
% 15.66/11.72 (((~v158(constB130)) | (~v206(constB130))) | v206(constB130)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32899,plain,
% 15.66/11.72 ((~v158(constB130)) | (~v206(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32898, 32886])).
% 15.66/11.72 tff(32900,plain,
% 15.66/11.72 ((~(v205(constB130) <=> (~((~v158(constB130)) | (~v206(constB130)))))) | (~v205(constB130)) | (~((~v158(constB130)) | (~v206(constB130))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32901,plain,
% 15.66/11.72 (~v205(constB130)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32900, 32899, 32897])).
% 15.66/11.72 tff(32902,plain,
% 15.66/11.72 ((~(v205(constB130) | v209(constB130))) | v205(constB130) | v209(constB130)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32903,plain,
% 15.66/11.72 (~(v205(constB130) | v209(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32902, 32901, 32890])).
% 15.66/11.72 tff(32904,plain,
% 15.66/11.72 ((~(v204(constB130) <=> (v205(constB130) | v209(constB130)))) | (~v204(constB130)) | (v205(constB130) | v209(constB130))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32905,plain,
% 15.66/11.72 ((~(v204(constB130) <=> (v205(constB130) | v209(constB130)))) | (~v204(constB130))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32904, 32903])).
% 15.66/11.72 tff(32906,plain,
% 15.66/11.72 (~v204(constB130)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32905, 32849])).
% 15.66/11.72 tff(32907,plain,
% 15.66/11.72 ($false),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32906, 32847])).
% 15.66/11.72 tff(32908,plain,(~(constB130 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.66/11.72 tff(32909,assumption,(constB70 = VarCurr!0), introduced(assumption)).
% 15.66/11.72 tff(32910,plain,
% 15.66/11.72 (v204(constB70) <=> v204(VarCurr!0)),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32909])).
% 15.66/11.72 tff(32911,plain,
% 15.66/11.72 (v204(VarCurr!0) <=> v204(constB70)),
% 15.66/11.72 inference(symmetry,[status(thm)],[32910])).
% 15.66/11.72 tff(32912,plain,
% 15.66/11.72 (v204(constB70)),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[27, 32911])).
% 15.66/11.72 tff(32913,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB70) <=> (v205(constB70) | v209(constB70)))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32914,plain,
% 15.66/11.72 (v204(constB70) <=> (v205(constB70) | v209(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32913, 35])).
% 15.66/11.72 tff(32915,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70))))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32916,plain,
% 15.66/11.72 ((v209(constB70) <=> (~((~v206(constB70)) | (~v191(constB70))))) <=> (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70)))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32917,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v206(constB70)) | (~v191(constB70)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70))))))),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32916])).
% 15.66/11.72 tff(32918,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v206(constB70)) | (~v191(constB70)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70))))))),
% 15.66/11.72 inference(transitivity,[status(thm)],[32917, 32915])).
% 15.66/11.72 tff(32919,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v206(constB70)) | (~v191(constB70)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32920,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70)))))),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[32919, 32918])).
% 15.66/11.72 tff(32921,plain,
% 15.66/11.72 (v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32920, 47])).
% 15.66/11.72 tff(32922,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB70) <=> (~((~v186(constB70)) | (~v207(constB70)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32923,plain,
% 15.66/11.72 (v206(constB70) <=> (~((~v186(constB70)) | (~v207(constB70))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32922, 16227])).
% 15.66/11.72 tff(32924,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70))))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32925,plain,
% 15.66/11.72 ((v207(constB70) <=> (~((~v208(constB70)) | (~v184(constB70))))) <=> (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70)))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32926,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v208(constB70)) | (~v184(constB70)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70))))))),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32925])).
% 15.66/11.72 tff(32927,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v208(constB70)) | (~v184(constB70)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70))))))),
% 15.66/11.72 inference(transitivity,[status(thm)],[32926, 32924])).
% 15.66/11.72 tff(32928,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v208(constB70)) | (~v184(constB70)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32929,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70)))))),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 15.66/11.72 tff(32930,plain,
% 15.66/11.72 (v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32929, 16239])).
% 15.66/11.72 tff(32931,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32932,plain,
% 15.66/11.72 (v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32931, 138])).
% 15.66/11.72 tff(32933,plain,
% 15.66/11.72 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32934,plain,
% 15.66/11.72 ((~v39(constB70)) <=> v1(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32933, 147])).
% 15.66/11.72 tff(32935,plain,
% 15.66/11.72 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32936,plain,
% 15.66/11.72 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32935, 5275])).
% 15.66/11.72 tff(32937,plain,
% 15.66/11.72 (~v39(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32936, 32934])).
% 15.66/11.72 tff(32938,plain,
% 15.66/11.72 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32939,plain,
% 15.66/11.72 ((~v39(constB70)) | (~v9(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32938, 32937])).
% 15.66/11.72 tff(32940,plain,
% 15.66/11.72 ((~(v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v184(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32941,plain,
% 15.66/11.72 ((~(v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v184(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32940, 32939])).
% 15.66/11.72 tff(32942,plain,
% 15.66/11.72 (~v184(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32941, 32932])).
% 15.66/11.72 tff(32943,plain,
% 15.66/11.72 (((~v184(constB70)) | (~v208(constB70))) | v184(constB70)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32944,plain,
% 15.66/11.72 ((~v184(constB70)) | (~v208(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32943, 32942])).
% 15.66/11.72 tff(32945,plain,
% 15.66/11.72 ((~(v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70)))))) | (~v207(constB70)) | (~((~v184(constB70)) | (~v208(constB70))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32946,plain,
% 15.66/11.72 ((~(v207(constB70) <=> (~((~v184(constB70)) | (~v208(constB70)))))) | (~v207(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32945, 32944])).
% 15.66/11.72 tff(32947,plain,
% 15.66/11.72 (~v207(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32946, 32930])).
% 15.66/11.72 tff(32948,plain,
% 15.66/11.72 (((~v186(constB70)) | (~v207(constB70))) | v207(constB70)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32949,plain,
% 15.66/11.72 ((~v186(constB70)) | (~v207(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32948, 32947])).
% 15.66/11.72 tff(32950,plain,
% 15.66/11.72 ((~(v206(constB70) <=> (~((~v186(constB70)) | (~v207(constB70)))))) | (~v206(constB70)) | (~((~v186(constB70)) | (~v207(constB70))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32951,plain,
% 15.66/11.72 (~v206(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32950, 32949, 32923])).
% 15.66/11.72 tff(32952,plain,
% 15.66/11.72 (((~v191(constB70)) | (~v206(constB70))) | v206(constB70)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32953,plain,
% 15.66/11.72 ((~v191(constB70)) | (~v206(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32952, 32951])).
% 15.66/11.72 tff(32954,plain,
% 15.66/11.72 ((~(v209(constB70) <=> (~((~v191(constB70)) | (~v206(constB70)))))) | (~v209(constB70)) | (~((~v191(constB70)) | (~v206(constB70))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32955,plain,
% 15.66/11.72 (~v209(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32954, 32953, 32921])).
% 15.66/11.72 tff(32956,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70))))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32957,plain,
% 15.66/11.72 ((v205(constB70) <=> (~((~v206(constB70)) | (~v158(constB70))))) <=> (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70)))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32958,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v206(constB70)) | (~v158(constB70)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70))))))),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32957])).
% 15.66/11.72 tff(32959,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v206(constB70)) | (~v158(constB70)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70))))))),
% 15.66/11.72 inference(transitivity,[status(thm)],[32958, 32956])).
% 15.66/11.72 tff(32960,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v206(constB70)) | (~v158(constB70)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32961,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70)))))),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[32960, 32959])).
% 15.66/11.72 tff(32962,plain,
% 15.66/11.72 (v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32961, 2502])).
% 15.66/11.72 tff(32963,plain,
% 15.66/11.72 (((~v158(constB70)) | (~v206(constB70))) | v206(constB70)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32964,plain,
% 15.66/11.72 ((~v158(constB70)) | (~v206(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32963, 32951])).
% 15.66/11.72 tff(32965,plain,
% 15.66/11.72 ((~(v205(constB70) <=> (~((~v158(constB70)) | (~v206(constB70)))))) | (~v205(constB70)) | (~((~v158(constB70)) | (~v206(constB70))))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32966,plain,
% 15.66/11.72 (~v205(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32965, 32964, 32962])).
% 15.66/11.72 tff(32967,plain,
% 15.66/11.72 ((~(v205(constB70) | v209(constB70))) | v205(constB70) | v209(constB70)),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32968,plain,
% 15.66/11.72 (~(v205(constB70) | v209(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32967, 32966, 32955])).
% 15.66/11.72 tff(32969,plain,
% 15.66/11.72 ((~(v204(constB70) <=> (v205(constB70) | v209(constB70)))) | (~v204(constB70)) | (v205(constB70) | v209(constB70))),
% 15.66/11.72 inference(tautology,[status(thm)],[])).
% 15.66/11.72 tff(32970,plain,
% 15.66/11.72 ((~(v204(constB70) <=> (v205(constB70) | v209(constB70)))) | (~v204(constB70))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32969, 32968])).
% 15.66/11.72 tff(32971,plain,
% 15.66/11.72 (~v204(constB70)),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32970, 32914])).
% 15.66/11.72 tff(32972,plain,
% 15.66/11.72 ($false),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32971, 32912])).
% 15.66/11.72 tff(32973,plain,(~(constB70 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.66/11.72 tff(32974,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 15.66/11.72 tff(32975,plain,
% 15.66/11.72 (v204(constB83) <=> v204(VarCurr!0)),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32974])).
% 15.66/11.72 tff(32976,plain,
% 15.66/11.72 (v204(VarCurr!0) <=> v204(constB83)),
% 15.66/11.72 inference(symmetry,[status(thm)],[32975])).
% 15.66/11.72 tff(32977,plain,
% 15.66/11.72 (v204(constB83)),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[27, 32976])).
% 15.66/11.72 tff(32978,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB83) <=> (v205(constB83) | v209(constB83)))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32979,plain,
% 15.66/11.72 (v204(constB83) <=> (v205(constB83) | v209(constB83))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32978, 35])).
% 15.66/11.72 tff(32980,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83))))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32981,plain,
% 15.66/11.72 ((v205(constB83) <=> (~((~v206(constB83)) | (~v158(constB83))))) <=> (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83)))))),
% 15.66/11.72 inference(rewrite,[status(thm)],[])).
% 15.66/11.72 tff(32982,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v206(constB83)) | (~v158(constB83)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83))))))),
% 15.66/11.72 inference(monotonicity,[status(thm)],[32981])).
% 15.66/11.72 tff(32983,plain,
% 15.66/11.72 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v206(constB83)) | (~v158(constB83)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83))))))),
% 15.66/11.72 inference(transitivity,[status(thm)],[32982, 32980])).
% 15.66/11.72 tff(32984,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v206(constB83)) | (~v158(constB83)))))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32985,plain,
% 15.66/11.72 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83)))))),
% 15.66/11.72 inference(modus_ponens,[status(thm)],[32984, 32983])).
% 15.66/11.72 tff(32986,plain,
% 15.66/11.72 (v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83))))),
% 15.66/11.72 inference(unit_resolution,[status(thm)],[32985, 2502])).
% 15.66/11.72 tff(32987,plain,
% 15.66/11.72 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB83) <=> v180(constB83))),
% 15.66/11.72 inference(quant_inst,[status(thm)],[])).
% 15.66/11.72 tff(32988,plain,
% 15.66/11.73 (v158(constB83) <=> v180(constB83)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[32987, 358])).
% 15.66/11.73 tff(32989,plain,
% 15.66/11.73 (((~![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)))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(32990,plain,
% 15.66/11.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(32991,plain,
% 15.66/11.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82))),
% 15.66/11.73 inference(modus_ponens,[status(thm)],[32990, 32989])).
% 15.66/11.73 tff(32992,plain,
% 15.66/11.73 (v180(constB83) <=> v178(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[32991, 4661, 370])).
% 15.66/11.73 tff(32993,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB82) <=> (v181(constB82) | v185(constB82)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(32994,plain,
% 15.66/11.73 (v178(constB82) <=> (v181(constB82) | v185(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[32993, 384])).
% 15.66/11.73 tff(32995,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(32996,plain,
% 15.66/11.73 (v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[32995, 396])).
% 15.66/11.73 tff(32997,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB82) <=> (~((~v184(constB82)) | (~v160(constB82)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(32998,plain,
% 15.66/11.73 (v187(constB82) <=> (~((~v184(constB82)) | (~v160(constB82))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[32997, 408])).
% 15.66/11.73 tff(32999,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33000,plain,
% 15.66/11.73 (v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[32999, 138])).
% 15.66/11.73 tff(33001,plain,
% 15.66/11.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33002,plain,
% 15.66/11.73 ((~v39(constB82)) <=> v1(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33001, 147])).
% 15.66/11.73 tff(33003,plain,
% 15.66/11.73 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33004,plain,
% 15.66/11.73 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33003, 4723])).
% 15.66/11.73 tff(33005,plain,
% 15.66/11.73 (~v39(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33004, 33002])).
% 15.66/11.73 tff(33006,plain,
% 15.66/11.73 (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33007,plain,
% 15.66/11.73 ((~v39(constB82)) | (~v9(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33006, 33005])).
% 15.66/11.73 tff(33008,plain,
% 15.66/11.73 ((~(v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v184(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33009,plain,
% 15.66/11.73 ((~(v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v184(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33008, 33007])).
% 15.66/11.73 tff(33010,plain,
% 15.66/11.73 (~v184(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33009, 33000])).
% 15.66/11.73 tff(33011,plain,
% 15.66/11.73 (((~v184(constB82)) | (~v160(constB82))) | v184(constB82)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33012,plain,
% 15.66/11.73 ((~v184(constB82)) | (~v160(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33011, 33010])).
% 15.66/11.73 tff(33013,plain,
% 15.66/11.73 ((~(v187(constB82) <=> (~((~v184(constB82)) | (~v160(constB82)))))) | (~v187(constB82)) | (~((~v184(constB82)) | (~v160(constB82))))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33014,plain,
% 15.66/11.73 ((~(v187(constB82) <=> (~((~v184(constB82)) | (~v160(constB82)))))) | (~v187(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33013, 33012])).
% 15.66/11.73 tff(33015,plain,
% 15.66/11.73 (~v187(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33014, 32998])).
% 15.66/11.73 tff(33016,plain,
% 15.66/11.73 (((~v186(constB82)) | (~v187(constB82))) | v187(constB82)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33017,plain,
% 15.66/11.73 ((~v186(constB82)) | (~v187(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33016, 33015])).
% 15.66/11.73 tff(33018,plain,
% 15.66/11.73 ((~(v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82)))))) | (~v185(constB82)) | (~((~v186(constB82)) | (~v187(constB82))))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33019,plain,
% 15.66/11.73 (~v185(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33018, 33017, 32996])).
% 15.66/11.73 tff(33020,plain,
% 15.66/11.73 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82))))))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(33021,plain,
% 15.66/11.73 ((v181(constB82) <=> (~((~v182(constB82)) | (~v158(constB82))))) <=> (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82)))))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(33022,plain,
% 15.66/11.73 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v158(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82))))))),
% 15.66/11.73 inference(monotonicity,[status(thm)],[33021])).
% 15.66/11.73 tff(33023,plain,
% 15.66/11.73 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v158(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82))))))),
% 15.66/11.73 inference(transitivity,[status(thm)],[33022, 33020])).
% 15.66/11.73 tff(33024,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v158(constB82)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33025,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82)))))),
% 15.66/11.73 inference(modus_ponens,[status(thm)],[33024, 33023])).
% 15.66/11.73 tff(33026,plain,
% 15.66/11.73 (v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33025, 444])).
% 15.66/11.73 tff(33027,plain,
% 15.66/11.73 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB82) <=> v180(constB82))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33028,plain,
% 15.66/11.73 (v158(constB82) <=> v180(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33027, 358])).
% 15.66/11.73 tff(33029,plain,
% 15.66/11.73 (((~![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)))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(33030,plain,
% 15.66/11.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33031,plain,
% 15.66/11.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81))),
% 15.66/11.73 inference(modus_ponens,[status(thm)],[33030, 33029])).
% 15.66/11.73 tff(33032,plain,
% 15.66/11.73 (v180(constB82) <=> v178(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33031, 4693, 370])).
% 15.66/11.73 tff(33033,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB81) <=> (v181(constB81) | v185(constB81)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33034,plain,
% 15.66/11.73 (v178(constB81) <=> (v181(constB81) | v185(constB81))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33033, 384])).
% 15.66/11.73 tff(33035,plain,
% 15.66/11.73 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81))))))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(33036,plain,
% 15.66/11.73 ((v181(constB81) <=> (~((~v182(constB81)) | (~v158(constB81))))) <=> (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81)))))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(33037,plain,
% 15.66/11.73 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v158(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81))))))),
% 15.66/11.73 inference(monotonicity,[status(thm)],[33036])).
% 15.66/11.73 tff(33038,plain,
% 15.66/11.73 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v158(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81))))))),
% 15.66/11.73 inference(transitivity,[status(thm)],[33037, 33035])).
% 15.66/11.73 tff(33039,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v158(constB81)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33040,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81)))))),
% 15.66/11.73 inference(modus_ponens,[status(thm)],[33039, 33038])).
% 15.66/11.73 tff(33041,plain,
% 15.66/11.73 (v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33040, 444])).
% 15.66/11.73 tff(33042,plain,
% 15.66/11.73 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB81)) <=> v183(constB81))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33043,plain,
% 15.66/11.73 ((~v182(constB81)) <=> v183(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33042, 205])).
% 15.66/11.73 tff(33044,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB81) <=> (v184(constB81) | v26(constB81)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33045,plain,
% 15.66/11.73 (v183(constB81) <=> (v184(constB81) | v26(constB81))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33044, 214])).
% 15.66/11.73 tff(33046,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33047,plain,
% 15.66/11.73 (v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33046, 138])).
% 15.66/11.73 tff(33048,plain,
% 15.66/11.73 (((~![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)))),
% 15.66/11.73 inference(rewrite,[status(thm)],[])).
% 15.66/11.73 tff(33049,plain,
% 15.66/11.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33050,plain,
% 15.66/11.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81))),
% 15.66/11.73 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 15.66/11.73 tff(33051,plain,
% 15.66/11.73 (v13(constB82) <=> v9(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33050, 4693, 228])).
% 15.66/11.73 tff(33052,plain,
% 15.66/11.73 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB82) <=> v13(constB82))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33053,plain,
% 15.66/11.73 (v6(constB82) <=> v13(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33052, 242])).
% 15.66/11.73 tff(33054,plain,
% 15.66/11.73 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB82)) <=> v6(constB82))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33055,plain,
% 15.66/11.73 ((~v21(constB82)) <=> v6(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33054, 251])).
% 15.66/11.73 tff(33056,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB82) <=> (v20(constB82) | v21(constB82)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33057,plain,
% 15.66/11.73 (v19(constB82) <=> (v20(constB82) | v21(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33056, 260])).
% 15.66/11.73 tff(33058,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33059,plain,
% 15.66/11.73 (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82))))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33058, 272])).
% 15.66/11.73 tff(33060,plain,
% 15.66/11.73 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB82)) <=> v18(constB82))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33061,plain,
% 15.66/11.73 ((~v4(constB82)) <=> v18(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33060, 281])).
% 15.66/11.73 tff(33062,plain,
% 15.66/11.73 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB82)),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33063,plain,
% 15.66/11.73 (v4(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33062, 290])).
% 15.66/11.73 tff(33064,plain,
% 15.66/11.73 ((~((~v4(constB82)) <=> v18(constB82))) | (~v4(constB82)) | (~v18(constB82))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33065,plain,
% 15.66/11.73 (~v18(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33064, 33063, 33061])).
% 15.66/11.73 tff(33066,plain,
% 15.66/11.73 ((~(v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))) | v18(constB82) | ((~v19(constB82)) | (~v22(constB82)))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33067,plain,
% 15.66/11.73 ((~v19(constB82)) | (~v22(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33066, 33065, 33059])).
% 15.66/11.73 tff(33068,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB82) <=> (v1(constB82) | v6(constB82)))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33069,plain,
% 15.66/11.73 (v22(constB82) <=> (v1(constB82) | v6(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33068, 303])).
% 15.66/11.73 tff(33070,plain,
% 15.66/11.73 ((v1(constB82) | v6(constB82)) | (~v1(constB82))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33071,plain,
% 15.66/11.73 (v1(constB82) | v6(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33070, 4723])).
% 15.66/11.73 tff(33072,plain,
% 15.66/11.73 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82) | (~(v1(constB82) | v6(constB82)))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33073,plain,
% 15.66/11.73 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33072, 33071])).
% 15.66/11.73 tff(33074,plain,
% 15.66/11.73 (v22(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33073, 33069])).
% 15.66/11.73 tff(33075,plain,
% 15.66/11.73 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82)) | (~v22(constB82))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33076,plain,
% 15.66/11.73 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33075, 33074])).
% 15.66/11.73 tff(33077,plain,
% 15.66/11.73 (~v19(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33076, 33067])).
% 15.66/11.73 tff(33078,plain,
% 15.66/11.73 ((~(v19(constB82) <=> (v20(constB82) | v21(constB82)))) | v19(constB82) | (~(v20(constB82) | v21(constB82)))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33079,plain,
% 15.66/11.73 (~(v20(constB82) | v21(constB82))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33078, 33077, 33057])).
% 15.66/11.73 tff(33080,plain,
% 15.66/11.73 ((v20(constB82) | v21(constB82)) | (~v21(constB82))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33081,plain,
% 15.66/11.73 (~v21(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33080, 33079])).
% 15.66/11.73 tff(33082,plain,
% 15.66/11.73 ((~((~v21(constB82)) <=> v6(constB82))) | v21(constB82) | v6(constB82)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33083,plain,
% 15.66/11.73 (v6(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33082, 33081, 33055])).
% 15.66/11.73 tff(33084,plain,
% 15.66/11.73 ((~(v6(constB82) <=> v13(constB82))) | (~v6(constB82)) | v13(constB82)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33085,plain,
% 15.66/11.73 (v13(constB82)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33084, 33083, 33053])).
% 15.66/11.73 tff(33086,plain,
% 15.66/11.73 ((~(v13(constB82) <=> v9(constB81))) | (~v13(constB82)) | v9(constB81)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33087,plain,
% 15.66/11.73 (v9(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33086, 33085, 33051])).
% 15.66/11.73 tff(33088,plain,
% 15.66/11.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB81)) <=> v1(constB81))),
% 15.66/11.73 inference(quant_inst,[status(thm)],[])).
% 15.66/11.73 tff(33089,plain,
% 15.66/11.73 ((~v39(constB81)) <=> v1(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33088, 147])).
% 15.66/11.73 tff(33090,plain,
% 15.66/11.73 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81) | v1(constB81)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33091,plain,
% 15.66/11.73 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33090, 4715])).
% 15.66/11.73 tff(33092,plain,
% 15.66/11.73 (v39(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33091, 33089])).
% 15.66/11.73 tff(33093,plain,
% 15.66/11.73 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v39(constB81)) | (~v9(constB81))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33094,plain,
% 15.66/11.73 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v9(constB81))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33093, 33092])).
% 15.66/11.73 tff(33095,plain,
% 15.66/11.73 (~((~v39(constB81)) | (~v9(constB81)))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33094, 33087])).
% 15.66/11.73 tff(33096,plain,
% 15.66/11.73 ((~(v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))) | v184(constB81) | ((~v39(constB81)) | (~v9(constB81)))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33097,plain,
% 15.66/11.73 (v184(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33096, 33095, 33047])).
% 15.66/11.73 tff(33098,plain,
% 15.66/11.73 ((v184(constB81) | v26(constB81)) | (~v184(constB81))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33099,plain,
% 15.66/11.73 (v184(constB81) | v26(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33098, 33097])).
% 15.66/11.73 tff(33100,plain,
% 15.66/11.73 ((~(v183(constB81) <=> (v184(constB81) | v26(constB81)))) | v183(constB81) | (~(v184(constB81) | v26(constB81)))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33101,plain,
% 15.66/11.73 (v183(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33100, 33099, 33045])).
% 15.66/11.73 tff(33102,plain,
% 15.66/11.73 ((~((~v182(constB81)) <=> v183(constB81))) | (~v182(constB81)) | (~v183(constB81))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33103,plain,
% 15.66/11.73 (~v182(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33102, 33101, 33043])).
% 15.66/11.73 tff(33104,plain,
% 15.66/11.73 (((~v158(constB81)) | (~v182(constB81))) | v182(constB81)),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33105,plain,
% 15.66/11.73 ((~v158(constB81)) | (~v182(constB81))),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33104, 33103])).
% 15.66/11.73 tff(33106,plain,
% 15.66/11.73 ((~(v181(constB81) <=> (~((~v158(constB81)) | (~v182(constB81)))))) | (~v181(constB81)) | (~((~v158(constB81)) | (~v182(constB81))))),
% 15.66/11.73 inference(tautology,[status(thm)],[])).
% 15.66/11.73 tff(33107,plain,
% 15.66/11.73 (~v181(constB81)),
% 15.66/11.73 inference(unit_resolution,[status(thm)],[33106, 33105, 33041])).
% 15.66/11.73 tff(33108,plain,
% 15.66/11.73 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81)))))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33109,plain,
% 15.66/11.74 (v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81))))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33108, 396])).
% 15.66/11.74 tff(33110,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB81) <=> (~((~v184(constB81)) | (~v160(constB81)))))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33111,plain,
% 15.66/11.74 (v187(constB81) <=> (~((~v184(constB81)) | (~v160(constB81))))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33110, 408])).
% 15.66/11.74 tff(33112,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB81) <=> v162(constB81))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33113,plain,
% 15.66/11.74 (v160(constB81) <=> v162(constB81)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33112, 549])).
% 15.66/11.74 tff(33114,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)))))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33115,plain,
% 15.66/11.74 (v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0))))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33114, 564])).
% 15.66/11.74 tff(33116,plain,
% 15.66/11.74 (((~![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)))),
% 15.66/11.74 inference(rewrite,[status(thm)],[])).
% 15.66/11.74 tff(33117,plain,
% 15.66/11.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2)))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33118,plain,
% 15.66/11.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2))),
% 15.66/11.74 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 15.66/11.74 tff(33119,plain,
% 15.66/11.74 (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33118, 579, 576])).
% 15.66/11.74 tff(33120,plain,
% 15.66/11.74 ((~(v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2))) | v88(constB81, bitIndex2) | (~v90(constB81, bitIndex2))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33121,plain,
% 15.66/11.74 (v88(constB81, bitIndex2)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33120, 13383, 33119])).
% 15.66/11.74 tff(33122,plain,
% 15.66/11.74 ((v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0))) | (~v88(constB81, bitIndex2))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33123,plain,
% 15.66/11.74 (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33122, 33121])).
% 15.66/11.74 tff(33124,plain,
% 15.66/11.74 ((~(v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)))))) | (~v141(constB81)) | (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0))))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33125,plain,
% 15.66/11.74 (~v141(constB81)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33124, 33123, 33115])).
% 15.66/11.74 tff(33126,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB81) <=> (v139(constB81) | v140(constB81)))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33127,plain,
% 15.66/11.74 (v170(constB81) <=> (v139(constB81) | v140(constB81))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33126, 2216])).
% 15.66/11.74 tff(33128,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2))))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33129,plain,
% 15.66/11.74 (v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33128, 2231])).
% 15.66/11.74 tff(33130,plain,
% 15.66/11.74 ((v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex2))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33131,plain,
% 15.66/11.74 (v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33130, 33121])).
% 15.66/11.74 tff(33132,plain,
% 15.66/11.74 ((~(v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2))))) | (~v139(constB81)) | (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33133,plain,
% 15.66/11.74 (~v139(constB81)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33132, 33131, 33129])).
% 15.66/11.74 tff(33134,plain,
% 15.66/11.74 (((~![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))))))),
% 15.66/11.74 inference(rewrite,[status(thm)],[])).
% 15.66/11.74 tff(33135,plain,
% 15.66/11.74 ((v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))) <=> (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))),
% 15.66/11.74 inference(rewrite,[status(thm)],[])).
% 15.66/11.74 tff(33136,plain,
% 15.66/11.74 (((~![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))))))),
% 15.66/11.74 inference(monotonicity,[status(thm)],[33135])).
% 15.66/11.74 tff(33137,plain,
% 15.66/11.74 (((~![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))))))),
% 15.66/11.74 inference(transitivity,[status(thm)],[33136, 33134])).
% 15.66/11.74 tff(33138,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33139,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))),
% 15.66/11.74 inference(modus_ponens,[status(thm)],[33138, 33137])).
% 15.66/11.74 tff(33140,plain,
% 15.66/11.74 (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33139, 2250])).
% 15.66/11.74 tff(33141,plain,
% 15.66/11.74 ((v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))) | (~v88(constB81, bitIndex2))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33142,plain,
% 15.66/11.74 (v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33141, 33121])).
% 15.66/11.74 tff(33143,plain,
% 15.66/11.74 ((~(v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))) | (~v140(constB81)) | (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33144,plain,
% 15.66/11.74 (~v140(constB81)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33143, 33142, 33140])).
% 15.66/11.74 tff(33145,plain,
% 15.66/11.74 ((~(v139(constB81) | v140(constB81))) | v139(constB81) | v140(constB81)),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33146,plain,
% 15.66/11.74 (~(v139(constB81) | v140(constB81))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33145, 33144, 33133])).
% 15.66/11.74 tff(33147,plain,
% 15.66/11.74 ((~(v170(constB81) <=> (v139(constB81) | v140(constB81)))) | (~v170(constB81)) | (v139(constB81) | v140(constB81))),
% 15.66/11.74 inference(tautology,[status(thm)],[])).
% 15.66/11.74 tff(33148,plain,
% 15.66/11.74 (~v170(constB81)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33147, 33146, 33127])).
% 15.66/11.74 tff(33149,plain,
% 15.66/11.74 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB81) | v170(constB81) | (~v169(constB81)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB81) | v170(constB81) | (~v169(constB81)))),
% 15.66/11.74 inference(rewrite,[status(thm)],[])).
% 15.66/11.74 tff(33150,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB81) | v170(constB81) | (~v169(constB81)))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33151,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB81) | v170(constB81) | (~v169(constB81))),
% 15.66/11.74 inference(modus_ponens,[status(thm)],[33150, 33149])).
% 15.66/11.74 tff(33152,plain,
% 15.66/11.74 (v141(constB81) | v170(constB81) | (~v169(constB81))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33151, 2278])).
% 15.66/11.74 tff(33153,plain,
% 15.66/11.74 (~v169(constB81)),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33152, 33148, 33125])).
% 15.66/11.74 tff(33154,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB81) <=> (v145(constB81) | v166(constB81)))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33155,plain,
% 15.66/11.74 (v165(constB81) <=> (v145(constB81) | v166(constB81))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33154, 2293])).
% 15.66/11.74 tff(33156,plain,
% 15.66/11.74 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB81) <=> (v146(constB81) | v147(constB81)))),
% 15.66/11.74 inference(quant_inst,[status(thm)],[])).
% 15.66/11.74 tff(33157,plain,
% 15.66/11.74 (v145(constB81) <=> (v146(constB81) | v147(constB81))),
% 15.66/11.74 inference(unit_resolution,[status(thm)],[33156, 2302])).
% 15.66/11.74 tff(33158,plain,
% 15.66/11.74 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1)))))),
% 15.66/11.74 inference(rewrite,[status(thm)],[])).
% 15.66/11.74 tff(33159,plain,
% 15.66/11.74 ((v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2))))) <=> (v146(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))))),
% 15.66/11.74 inference(rewrite,[status(thm)],[])).
% 15.66/11.74 tff(33160,plain,
% 15.66/11.74 (((~![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, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1)))))),
% 15.66/11.74 inference(monotonicity,[status(thm)],[33159])).
% 15.66/11.74 tff(33161,plain,
% 15.66/11.74 (((~![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, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1)))))),
% 15.66/11.75 inference(transitivity,[status(thm)],[33160, 33158])).
% 15.66/11.75 tff(33162,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33163,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 15.66/11.75 tff(33164,plain,
% 15.66/11.75 (v146(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1)))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33163, 16288])).
% 15.66/11.75 tff(33165,plain,
% 15.66/11.75 (((~![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)))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33166,plain,
% 15.66/11.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0)))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33167,plain,
% 15.66/11.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 15.66/11.75 tff(33168,plain,
% 15.66/11.75 (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33167, 1275, 576])).
% 15.66/11.75 tff(33169,plain,
% 15.66/11.75 ((~(v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0))) | (~v88(constB81, bitIndex0)) | v90(constB81, bitIndex0)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33170,plain,
% 15.66/11.75 (~v88(constB81, bitIndex0)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33169, 13414, 33168])).
% 15.66/11.75 tff(33171,plain,
% 15.66/11.75 (((~![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)))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33172,plain,
% 15.66/11.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1)))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33173,plain,
% 15.66/11.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33172, 33171])).
% 15.66/11.75 tff(33174,plain,
% 15.66/11.75 (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33173, 1288, 576])).
% 15.66/11.75 tff(33175,plain,
% 15.66/11.75 ((~(v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1))) | (~v88(constB81, bitIndex1)) | v90(constB81, bitIndex1)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33176,plain,
% 15.66/11.75 (~v88(constB81, bitIndex1)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33175, 13445, 33174])).
% 15.66/11.75 tff(33177,plain,
% 15.66/11.75 ((~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))) | v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33178,plain,
% 15.66/11.75 (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33177, 33176, 33170, 33121])).
% 15.66/11.75 tff(33179,plain,
% 15.66/11.75 ((~(v146(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))))) | v146(constB81) | (v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33180,plain,
% 15.66/11.75 (v146(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33179, 33178, 33164])).
% 15.66/11.75 tff(33181,plain,
% 15.66/11.75 ((v146(constB81) | v147(constB81)) | (~v146(constB81))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33182,plain,
% 15.66/11.75 (v146(constB81) | v147(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33181, 33180])).
% 15.66/11.75 tff(33183,plain,
% 15.66/11.75 ((~(v145(constB81) <=> (v146(constB81) | v147(constB81)))) | v145(constB81) | (~(v146(constB81) | v147(constB81)))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33184,plain,
% 15.66/11.75 (v145(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33183, 33182, 33157])).
% 15.66/11.75 tff(33185,plain,
% 15.66/11.75 ((v145(constB81) | v166(constB81)) | (~v145(constB81))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33186,plain,
% 15.66/11.75 (v145(constB81) | v166(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33185, 33184])).
% 15.66/11.75 tff(33187,plain,
% 15.66/11.75 ((~(v165(constB81) <=> (v145(constB81) | v166(constB81)))) | v165(constB81) | (~(v145(constB81) | v166(constB81)))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33188,plain,
% 15.66/11.75 (v165(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33187, 33186, 33155])).
% 15.66/11.75 tff(33189,plain,
% 15.66/11.75 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB81)) | (v162(constB81) <=> v169(constB81)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB81)) | (v162(constB81) <=> v169(constB81)))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33190,plain,
% 15.66/11.75 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB81)) | (v162(constB81) <=> v169(constB81)))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33191,plain,
% 15.66/11.75 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB81)) | (v162(constB81) <=> v169(constB81))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33190, 33189])).
% 15.66/11.75 tff(33192,plain,
% 15.66/11.75 ((~v165(constB81)) | (v162(constB81) <=> v169(constB81))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33191, 2426])).
% 15.66/11.75 tff(33193,plain,
% 15.66/11.75 (v162(constB81) <=> v169(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33192, 33188])).
% 15.66/11.75 tff(33194,plain,
% 15.66/11.75 ((~(v162(constB81) <=> v169(constB81))) | (~v162(constB81)) | v169(constB81)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33195,plain,
% 15.66/11.75 (~v162(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33194, 33193, 33153])).
% 15.66/11.75 tff(33196,plain,
% 15.66/11.75 ((~(v160(constB81) <=> v162(constB81))) | (~v160(constB81)) | v162(constB81)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33197,plain,
% 15.66/11.75 ((~(v160(constB81) <=> v162(constB81))) | (~v160(constB81))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33196, 33195])).
% 15.66/11.75 tff(33198,plain,
% 15.66/11.75 (~v160(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33197, 33113])).
% 15.66/11.75 tff(33199,plain,
% 15.66/11.75 (((~v184(constB81)) | (~v160(constB81))) | v160(constB81)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33200,plain,
% 15.66/11.75 ((~v184(constB81)) | (~v160(constB81))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33199, 33198])).
% 15.66/11.75 tff(33201,plain,
% 15.66/11.75 ((~(v187(constB81) <=> (~((~v184(constB81)) | (~v160(constB81)))))) | (~v187(constB81)) | (~((~v184(constB81)) | (~v160(constB81))))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33202,plain,
% 15.66/11.75 (~v187(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33201, 33200, 33111])).
% 15.66/11.75 tff(33203,plain,
% 15.66/11.75 (((~v186(constB81)) | (~v187(constB81))) | v187(constB81)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33204,plain,
% 15.66/11.75 ((~v186(constB81)) | (~v187(constB81))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33203, 33202])).
% 15.66/11.75 tff(33205,plain,
% 15.66/11.75 ((~(v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81)))))) | (~v185(constB81)) | (~((~v186(constB81)) | (~v187(constB81))))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33206,plain,
% 15.66/11.75 (~v185(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33205, 33204, 33109])).
% 15.66/11.75 tff(33207,plain,
% 15.66/11.75 ((~(v181(constB81) | v185(constB81))) | v181(constB81) | v185(constB81)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33208,plain,
% 15.66/11.75 (~(v181(constB81) | v185(constB81))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33207, 33206, 33107])).
% 15.66/11.75 tff(33209,plain,
% 15.66/11.75 ((~(v178(constB81) <=> (v181(constB81) | v185(constB81)))) | (~v178(constB81)) | (v181(constB81) | v185(constB81))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33210,plain,
% 15.66/11.75 (~v178(constB81)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33209, 33208, 33034])).
% 15.66/11.75 tff(33211,plain,
% 15.66/11.75 ((~(v180(constB82) <=> v178(constB81))) | (~v180(constB82)) | v178(constB81)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33212,plain,
% 15.66/11.75 (~v180(constB82)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33211, 33210, 33032])).
% 15.66/11.75 tff(33213,plain,
% 15.66/11.75 ((~(v158(constB82) <=> v180(constB82))) | (~v158(constB82)) | v180(constB82)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33214,plain,
% 15.66/11.75 (~v158(constB82)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33213, 33212, 33028])).
% 15.66/11.75 tff(33215,plain,
% 15.66/11.75 (((~v158(constB82)) | (~v182(constB82))) | v158(constB82)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33216,plain,
% 15.66/11.75 ((~v158(constB82)) | (~v182(constB82))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33215, 33214])).
% 15.66/11.75 tff(33217,plain,
% 15.66/11.75 ((~(v181(constB82) <=> (~((~v158(constB82)) | (~v182(constB82)))))) | (~v181(constB82)) | (~((~v158(constB82)) | (~v182(constB82))))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33218,plain,
% 15.66/11.75 (~v181(constB82)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33217, 33216, 33026])).
% 15.66/11.75 tff(33219,plain,
% 15.66/11.75 ((~(v181(constB82) | v185(constB82))) | v181(constB82) | v185(constB82)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33220,plain,
% 15.66/11.75 (~(v181(constB82) | v185(constB82))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33219, 33218, 33019])).
% 15.66/11.75 tff(33221,plain,
% 15.66/11.75 ((~(v178(constB82) <=> (v181(constB82) | v185(constB82)))) | (~v178(constB82)) | (v181(constB82) | v185(constB82))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33222,plain,
% 15.66/11.75 (~v178(constB82)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33221, 33220, 32994])).
% 15.66/11.75 tff(33223,plain,
% 15.66/11.75 ((~(v180(constB83) <=> v178(constB82))) | (~v180(constB83)) | v178(constB82)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33224,plain,
% 15.66/11.75 (~v180(constB83)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33223, 33222, 32992])).
% 15.66/11.75 tff(33225,plain,
% 15.66/11.75 ((~(v158(constB83) <=> v180(constB83))) | (~v158(constB83)) | v180(constB83)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33226,plain,
% 15.66/11.75 (~v158(constB83)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33225, 33224, 32988])).
% 15.66/11.75 tff(33227,plain,
% 15.66/11.75 (((~v158(constB83)) | (~v206(constB83))) | v158(constB83)),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33228,plain,
% 15.66/11.75 ((~v158(constB83)) | (~v206(constB83))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33227, 33226])).
% 15.66/11.75 tff(33229,plain,
% 15.66/11.75 ((~(v205(constB83) <=> (~((~v158(constB83)) | (~v206(constB83)))))) | (~v205(constB83)) | (~((~v158(constB83)) | (~v206(constB83))))),
% 15.66/11.75 inference(tautology,[status(thm)],[])).
% 15.66/11.75 tff(33230,plain,
% 15.66/11.75 (~v205(constB83)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33229, 33228, 32986])).
% 15.66/11.75 tff(33231,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83))))))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33232,plain,
% 15.66/11.75 ((v209(constB83) <=> (~((~v206(constB83)) | (~v191(constB83))))) <=> (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83)))))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33233,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v206(constB83)) | (~v191(constB83)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83))))))),
% 15.66/11.75 inference(monotonicity,[status(thm)],[33232])).
% 15.66/11.75 tff(33234,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v206(constB83)) | (~v191(constB83)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83))))))),
% 15.66/11.75 inference(transitivity,[status(thm)],[33233, 33231])).
% 15.66/11.75 tff(33235,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v206(constB83)) | (~v191(constB83)))))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33236,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83)))))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33235, 33234])).
% 15.66/11.75 tff(33237,plain,
% 15.66/11.75 (v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83))))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33236, 47])).
% 15.66/11.75 tff(33238,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB83) <=> (~((~v186(constB83)) | (~v207(constB83)))))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33239,plain,
% 15.66/11.75 (v206(constB83) <=> (~((~v186(constB83)) | (~v207(constB83))))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33238, 16227])).
% 15.66/11.75 tff(33240,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83))))))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33241,plain,
% 15.66/11.75 ((v207(constB83) <=> (~((~v208(constB83)) | (~v184(constB83))))) <=> (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83)))))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33242,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v208(constB83)) | (~v184(constB83)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83))))))),
% 15.66/11.75 inference(monotonicity,[status(thm)],[33241])).
% 15.66/11.75 tff(33243,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v208(constB83)) | (~v184(constB83)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83))))))),
% 15.66/11.75 inference(transitivity,[status(thm)],[33242, 33240])).
% 15.66/11.75 tff(33244,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v208(constB83)) | (~v184(constB83)))))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33245,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83)))))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 15.66/11.75 tff(33246,plain,
% 15.66/11.75 (v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83))))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33245, 16239])).
% 15.66/11.75 tff(33247,plain,
% 15.66/11.75 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(constB83)) <=> v84(constB83))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33248,plain,
% 15.66/11.75 ((~v208(constB83)) <=> v84(constB83)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33247, 16253])).
% 15.66/11.75 tff(33249,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB83) <=> v86(constB83))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33250,plain,
% 15.66/11.75 (v84(constB83) <=> v86(constB83)),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33249, 16262])).
% 15.66/11.75 tff(33251,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB83) <=> (v136(constB83) | v145(constB83)))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33252,plain,
% 15.66/11.75 (v135(constB83) <=> (v136(constB83) | v145(constB83))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33251, 16271])).
% 15.66/11.75 tff(33253,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB83) <=> (v146(constB83) | v147(constB83)))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33254,plain,
% 15.66/11.75 (v145(constB83) <=> (v146(constB83) | v147(constB83))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33253, 2302])).
% 15.66/11.75 tff(33255,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33256,plain,
% 15.66/11.75 ((v147(constB83) <=> (~(v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | (~v88(constB83, bitIndex2))))) <=> (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33257,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~(v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | (~v88(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))))),
% 15.66/11.75 inference(monotonicity,[status(thm)],[33256])).
% 15.66/11.75 tff(33258,plain,
% 15.66/11.75 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~(v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | (~v88(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))))),
% 15.66/11.75 inference(transitivity,[status(thm)],[33257, 33255])).
% 15.66/11.75 tff(33259,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~(v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | (~v88(constB83, bitIndex2)))))),
% 15.66/11.75 inference(quant_inst,[status(thm)],[])).
% 15.66/11.75 tff(33260,plain,
% 15.66/11.75 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))),
% 15.66/11.75 inference(modus_ponens,[status(thm)],[33259, 33258])).
% 15.66/11.75 tff(33261,plain,
% 15.66/11.75 (v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))),
% 15.66/11.75 inference(unit_resolution,[status(thm)],[33260, 2317])).
% 15.66/11.75 tff(33262,plain,
% 15.66/11.75 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB83, bitIndex2) <=> v90(constB83, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB83, bitIndex2) <=> v90(constB83, bitIndex2)))),
% 15.66/11.75 inference(rewrite,[status(thm)],[])).
% 15.66/11.75 tff(33263,plain,
% 15.66/11.75 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB83, bitIndex2) <=> v90(constB83, bitIndex2)))),
% 15.66/11.76 inference(quant_inst,[status(thm)],[])).
% 15.66/11.76 tff(33264,plain,
% 15.66/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB83, bitIndex2) <=> v90(constB83, bitIndex2))),
% 15.66/11.76 inference(modus_ponens,[status(thm)],[33263, 33262])).
% 15.66/11.76 tff(33265,plain,
% 15.66/11.76 (v88(constB83, bitIndex2) <=> v90(constB83, bitIndex2)),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33264, 579, 576])).
% 15.66/11.76 tff(33266,plain,
% 15.66/11.76 ((~(v88(constB83, bitIndex2) <=> v90(constB83, bitIndex2))) | v88(constB83, bitIndex2) | (~v90(constB83, bitIndex2))),
% 15.66/11.76 inference(tautology,[status(thm)],[])).
% 15.66/11.76 tff(33267,plain,
% 15.66/11.76 (v88(constB83, bitIndex2)),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33266, 13533, 33265])).
% 15.66/11.76 tff(33268,plain,
% 15.66/11.76 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB83, bitIndex0) <=> v90(constB83, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB83, bitIndex0) <=> v90(constB83, bitIndex0)))),
% 15.66/11.76 inference(rewrite,[status(thm)],[])).
% 15.66/11.76 tff(33269,plain,
% 15.66/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB83, bitIndex0) <=> v90(constB83, bitIndex0)))),
% 15.66/11.76 inference(quant_inst,[status(thm)],[])).
% 15.66/11.76 tff(33270,plain,
% 15.66/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB83, bitIndex0) <=> v90(constB83, bitIndex0))),
% 15.66/11.76 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 15.66/11.76 tff(33271,plain,
% 15.66/11.76 (v88(constB83, bitIndex0) <=> v90(constB83, bitIndex0)),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33270, 1275, 576])).
% 15.66/11.76 tff(33272,plain,
% 15.66/11.76 ((~(v88(constB83, bitIndex0) <=> v90(constB83, bitIndex0))) | v88(constB83, bitIndex0) | (~v90(constB83, bitIndex0))),
% 15.66/11.76 inference(tautology,[status(thm)],[])).
% 15.66/11.76 tff(33273,plain,
% 15.66/11.76 (v88(constB83, bitIndex0)),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33272, 13564, 33271])).
% 15.66/11.76 tff(33274,plain,
% 15.66/11.76 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB83, bitIndex1) <=> v90(constB83, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB83, bitIndex1) <=> v90(constB83, bitIndex1)))),
% 15.66/11.76 inference(rewrite,[status(thm)],[])).
% 15.66/11.76 tff(33275,plain,
% 15.66/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB83, bitIndex1) <=> v90(constB83, bitIndex1)))),
% 15.66/11.76 inference(quant_inst,[status(thm)],[])).
% 15.66/11.76 tff(33276,plain,
% 15.66/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB83, bitIndex1) <=> v90(constB83, bitIndex1))),
% 15.66/11.76 inference(modus_ponens,[status(thm)],[33275, 33274])).
% 15.66/11.76 tff(33277,plain,
% 15.66/11.76 (v88(constB83, bitIndex1) <=> v90(constB83, bitIndex1)),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33276, 1288, 576])).
% 15.66/11.76 tff(33278,plain,
% 15.66/11.76 ((~(v88(constB83, bitIndex1) <=> v90(constB83, bitIndex1))) | (~v88(constB83, bitIndex1)) | v90(constB83, bitIndex1)),
% 15.66/11.76 inference(tautology,[status(thm)],[])).
% 15.66/11.76 tff(33279,plain,
% 15.66/11.76 (~v88(constB83, bitIndex1)),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33278, 13595, 33277])).
% 15.66/11.76 tff(33280,plain,
% 15.66/11.76 ((~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))),
% 15.66/11.76 inference(tautology,[status(thm)],[])).
% 15.66/11.76 tff(33281,plain,
% 15.66/11.76 (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))),
% 15.66/11.76 inference(unit_resolution,[status(thm)],[33280, 33279, 33273, 33267])).
% 15.66/11.76 tff(33282,plain,
% 15.66/11.76 ((~(v147(constB83) <=> (~((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))) | v147(constB83) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33283,plain,
% 15.70/11.76 (v147(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33282, 33281, 33261])).
% 15.70/11.76 tff(33284,plain,
% 15.70/11.76 ((v146(constB83) | v147(constB83)) | (~v147(constB83))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33285,plain,
% 15.70/11.76 (v146(constB83) | v147(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33284, 33283])).
% 15.70/11.76 tff(33286,plain,
% 15.70/11.76 ((~(v145(constB83) <=> (v146(constB83) | v147(constB83)))) | v145(constB83) | (~(v146(constB83) | v147(constB83)))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33287,plain,
% 15.70/11.76 (v145(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33286, 33285, 33254])).
% 15.70/11.76 tff(33288,plain,
% 15.70/11.76 ((v136(constB83) | v145(constB83)) | (~v145(constB83))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33289,plain,
% 15.70/11.76 (v136(constB83) | v145(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33288, 33287])).
% 15.70/11.76 tff(33290,plain,
% 15.70/11.76 ((~(v135(constB83) <=> (v136(constB83) | v145(constB83)))) | v135(constB83) | (~(v136(constB83) | v145(constB83)))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33291,plain,
% 15.70/11.76 (v135(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33290, 33289, 33252])).
% 15.70/11.76 tff(33292,plain,
% 15.70/11.76 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB83)) | (v86(constB83) <=> v148(constB83)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB83)) | (v86(constB83) <=> v148(constB83)))),
% 15.70/11.76 inference(rewrite,[status(thm)],[])).
% 15.70/11.76 tff(33293,plain,
% 15.70/11.76 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB83)) | (v86(constB83) <=> v148(constB83)))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33294,plain,
% 15.70/11.76 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB83)) | (v86(constB83) <=> v148(constB83))),
% 15.70/11.76 inference(modus_ponens,[status(thm)],[33293, 33292])).
% 15.70/11.76 tff(33295,plain,
% 15.70/11.76 ((~v135(constB83)) | (v86(constB83) <=> v148(constB83))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33294, 16814])).
% 15.70/11.76 tff(33296,plain,
% 15.70/11.76 (v86(constB83) <=> v148(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33295, 33291])).
% 15.70/11.76 tff(33297,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB83) <=> (v142(constB83) | v151(constB83)))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33298,plain,
% 15.70/11.76 (v149(constB83) <=> (v142(constB83) | v151(constB83))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33297, 16829])).
% 15.70/11.76 tff(33299,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB83) <=> (v143(constB83) | v144(constB83)))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33300,plain,
% 15.70/11.76 (v142(constB83) <=> (v143(constB83) | v144(constB83))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33299, 2813])).
% 15.70/11.76 tff(33301,plain,
% 15.70/11.76 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(rewrite,[status(thm)],[])).
% 15.70/11.76 tff(33302,plain,
% 15.70/11.76 ((v143(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1))))) <=> (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))),
% 15.70/11.76 inference(rewrite,[status(thm)],[])).
% 15.70/11.76 tff(33303,plain,
% 15.70/11.76 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(monotonicity,[status(thm)],[33302])).
% 15.70/11.76 tff(33304,plain,
% 15.70/11.76 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(transitivity,[status(thm)],[33303, 33301])).
% 15.70/11.76 tff(33305,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)))))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33306,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))),
% 15.70/11.76 inference(modus_ponens,[status(thm)],[33305, 33304])).
% 15.70/11.76 tff(33307,plain,
% 15.70/11.76 (v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33306, 16089])).
% 15.70/11.76 tff(33308,plain,
% 15.70/11.76 ((v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)) | (~v88(constB83, bitIndex2))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33309,plain,
% 15.70/11.76 (v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33308, 33267])).
% 15.70/11.76 tff(33310,plain,
% 15.70/11.76 ((~(v143(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))) | (~v143(constB83)) | (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33311,plain,
% 15.70/11.76 (~v143(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33310, 33309, 33307])).
% 15.70/11.76 tff(33312,plain,
% 15.70/11.76 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(rewrite,[status(thm)],[])).
% 15.70/11.76 tff(33313,plain,
% 15.70/11.76 ((v144(constB83) <=> (~(v88(constB83, bitIndex0) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex2))))) <=> (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))),
% 15.70/11.76 inference(rewrite,[status(thm)],[])).
% 15.70/11.76 tff(33314,plain,
% 15.70/11.76 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~(v88(constB83, bitIndex0) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(monotonicity,[status(thm)],[33313])).
% 15.70/11.76 tff(33315,plain,
% 15.70/11.76 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~(v88(constB83, bitIndex0) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(transitivity,[status(thm)],[33314, 33312])).
% 15.70/11.76 tff(33316,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~(v88(constB83, bitIndex0) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex2)))))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33317,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))),
% 15.70/11.76 inference(modus_ponens,[status(thm)],[33316, 33315])).
% 15.70/11.76 tff(33318,plain,
% 15.70/11.76 (v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33317, 2828])).
% 15.70/11.76 tff(33319,plain,
% 15.70/11.76 (((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)) | v88(constB83, bitIndex1)),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33320,plain,
% 15.70/11.76 ((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33319, 33279])).
% 15.70/11.76 tff(33321,plain,
% 15.70/11.76 ((~(v144(constB83) <=> (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0))))) | (~v144(constB83)) | (~((~v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex1)) | v88(constB83, bitIndex0)))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33322,plain,
% 15.70/11.76 (~v144(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33321, 33320, 33318])).
% 15.70/11.76 tff(33323,plain,
% 15.70/11.76 ((~(v143(constB83) | v144(constB83))) | v143(constB83) | v144(constB83)),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33324,plain,
% 15.70/11.76 (~(v143(constB83) | v144(constB83))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33323, 33322, 33311])).
% 15.70/11.76 tff(33325,plain,
% 15.70/11.76 ((~(v142(constB83) <=> (v143(constB83) | v144(constB83)))) | (~v142(constB83)) | (v143(constB83) | v144(constB83))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33326,plain,
% 15.70/11.76 (~v142(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33325, 33324, 33300])).
% 15.70/11.76 tff(33327,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB83) <=> (v141(constB83) | v152(constB83)))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33328,plain,
% 15.70/11.76 (v151(constB83) <=> (v141(constB83) | v152(constB83))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33327, 16864])).
% 15.70/11.76 tff(33329,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex0)))))),
% 15.70/11.76 inference(quant_inst,[status(thm)],[])).
% 15.70/11.76 tff(33330,plain,
% 15.70/11.76 (v141(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex0))))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33329, 564])).
% 15.70/11.76 tff(33331,plain,
% 15.70/11.76 ((v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex0))) | (~v88(constB83, bitIndex2))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33332,plain,
% 15.70/11.76 (v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex0))),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33331, 33267])).
% 15.70/11.76 tff(33333,plain,
% 15.70/11.76 ((~(v141(constB83) <=> (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex0)))))) | (~v141(constB83)) | (~(v88(constB83, bitIndex2) | (~v88(constB83, bitIndex1)) | (~v88(constB83, bitIndex0))))),
% 15.70/11.76 inference(tautology,[status(thm)],[])).
% 15.70/11.76 tff(33334,plain,
% 15.70/11.76 (~v141(constB83)),
% 15.70/11.76 inference(unit_resolution,[status(thm)],[33333, 33332, 33330])).
% 15.70/11.76 tff(33335,plain,
% 15.70/11.76 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB83) <=> (v139(constB83) | v140(constB83)))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33336,plain,
% 15.70/11.77 (v152(constB83) <=> (v139(constB83) | v140(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33335, 16879])).
% 15.70/11.77 tff(33337,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex1) | v88(constB83, bitIndex2))))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33338,plain,
% 15.70/11.77 (v139(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex1) | v88(constB83, bitIndex2)))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33337, 2231])).
% 15.70/11.77 tff(33339,plain,
% 15.70/11.77 ((v88(constB83, bitIndex0) | v88(constB83, bitIndex1) | v88(constB83, bitIndex2)) | (~v88(constB83, bitIndex2))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33340,plain,
% 15.70/11.77 (v88(constB83, bitIndex0) | v88(constB83, bitIndex1) | v88(constB83, bitIndex2)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33339, 33267])).
% 15.70/11.77 tff(33341,plain,
% 15.70/11.77 ((~(v139(constB83) <=> (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex1) | v88(constB83, bitIndex2))))) | (~v139(constB83)) | (~(v88(constB83, bitIndex0) | v88(constB83, bitIndex1) | v88(constB83, bitIndex2)))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33342,plain,
% 15.70/11.77 (~v139(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33341, 33340, 33338])).
% 15.70/11.77 tff(33343,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))))),
% 15.70/11.77 inference(rewrite,[status(thm)],[])).
% 15.70/11.77 tff(33344,plain,
% 15.70/11.77 ((v140(constB83) <=> (~(v88(constB83, bitIndex1) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex0))))) <=> (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))),
% 15.70/11.77 inference(rewrite,[status(thm)],[])).
% 15.70/11.77 tff(33345,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex1) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))))),
% 15.70/11.77 inference(monotonicity,[status(thm)],[33344])).
% 15.70/11.77 tff(33346,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex1) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))))),
% 15.70/11.77 inference(transitivity,[status(thm)],[33345, 33343])).
% 15.70/11.77 tff(33347,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex1) | v88(constB83, bitIndex2) | (~v88(constB83, bitIndex0)))))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33348,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))),
% 15.70/11.77 inference(modus_ponens,[status(thm)],[33347, 33346])).
% 15.70/11.77 tff(33349,plain,
% 15.70/11.77 (v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33348, 2250])).
% 15.70/11.77 tff(33350,plain,
% 15.70/11.77 ((v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))) | (~v88(constB83, bitIndex2))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33351,plain,
% 15.70/11.77 (v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33350, 33267])).
% 15.70/11.77 tff(33352,plain,
% 15.70/11.77 ((~(v140(constB83) <=> (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))))) | (~v140(constB83)) | (~(v88(constB83, bitIndex2) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33353,plain,
% 15.70/11.77 (~v140(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33352, 33351, 33349])).
% 15.70/11.77 tff(33354,plain,
% 15.70/11.77 ((~(v139(constB83) | v140(constB83))) | v139(constB83) | v140(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33355,plain,
% 15.70/11.77 (~(v139(constB83) | v140(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33354, 33353, 33342])).
% 15.70/11.77 tff(33356,plain,
% 15.70/11.77 ((~(v152(constB83) <=> (v139(constB83) | v140(constB83)))) | (~v152(constB83)) | (v139(constB83) | v140(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33357,plain,
% 15.70/11.77 (~v152(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33356, 33355, 33336])).
% 15.70/11.77 tff(33358,plain,
% 15.70/11.77 ((~(v141(constB83) | v152(constB83))) | v141(constB83) | v152(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33359,plain,
% 15.70/11.77 (~(v141(constB83) | v152(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33358, 33357, 33334])).
% 15.70/11.77 tff(33360,plain,
% 15.70/11.77 ((~(v151(constB83) <=> (v141(constB83) | v152(constB83)))) | (~v151(constB83)) | (v141(constB83) | v152(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33361,plain,
% 15.70/11.77 (~v151(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33360, 33359, 33328])).
% 15.70/11.77 tff(33362,plain,
% 15.70/11.77 ((~(v142(constB83) | v151(constB83))) | v142(constB83) | v151(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33363,plain,
% 15.70/11.77 (~(v142(constB83) | v151(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33362, 33361, 33326])).
% 15.70/11.77 tff(33364,plain,
% 15.70/11.77 ((~(v149(constB83) <=> (v142(constB83) | v151(constB83)))) | (~v149(constB83)) | (v142(constB83) | v151(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33365,plain,
% 15.70/11.77 (~v149(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33364, 33363, 33298])).
% 15.70/11.77 tff(33366,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB83) | v149(constB83))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB83) | v149(constB83))),
% 15.70/11.77 inference(rewrite,[status(thm)],[])).
% 15.70/11.77 tff(33367,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB83) | v149(constB83))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33368,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB83) | v149(constB83)),
% 15.70/11.77 inference(modus_ponens,[status(thm)],[33367, 33366])).
% 15.70/11.77 tff(33369,plain,
% 15.70/11.77 (v148(constB83) | v149(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33368, 16920])).
% 15.70/11.77 tff(33370,plain,
% 15.70/11.77 (v148(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33369, 33365])).
% 15.70/11.77 tff(33371,plain,
% 15.70/11.77 ((~(v86(constB83) <=> v148(constB83))) | v86(constB83) | (~v148(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33372,plain,
% 15.70/11.77 (v86(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33371, 33370, 33296])).
% 15.70/11.77 tff(33373,plain,
% 15.70/11.77 ((~(v84(constB83) <=> v86(constB83))) | v84(constB83) | (~v86(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33374,plain,
% 15.70/11.77 ((~(v84(constB83) <=> v86(constB83))) | v84(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33373, 33372])).
% 15.70/11.77 tff(33375,plain,
% 15.70/11.77 (v84(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33374, 33250])).
% 15.70/11.77 tff(33376,plain,
% 15.70/11.77 ((~((~v208(constB83)) <=> v84(constB83))) | (~v208(constB83)) | (~v84(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33377,plain,
% 15.70/11.77 ((~((~v208(constB83)) <=> v84(constB83))) | (~v208(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33376, 33375])).
% 15.70/11.77 tff(33378,plain,
% 15.70/11.77 (~v208(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33377, 33248])).
% 15.70/11.77 tff(33379,plain,
% 15.70/11.77 (((~v184(constB83)) | (~v208(constB83))) | v208(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33380,plain,
% 15.70/11.77 ((~v184(constB83)) | (~v208(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33379, 33378])).
% 15.70/11.77 tff(33381,plain,
% 15.70/11.77 ((~(v207(constB83) <=> (~((~v184(constB83)) | (~v208(constB83)))))) | (~v207(constB83)) | (~((~v184(constB83)) | (~v208(constB83))))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33382,plain,
% 15.70/11.77 (~v207(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33381, 33380, 33246])).
% 15.70/11.77 tff(33383,plain,
% 15.70/11.77 (((~v186(constB83)) | (~v207(constB83))) | v207(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33384,plain,
% 15.70/11.77 ((~v186(constB83)) | (~v207(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33383, 33382])).
% 15.70/11.77 tff(33385,plain,
% 15.70/11.77 ((~(v206(constB83) <=> (~((~v186(constB83)) | (~v207(constB83)))))) | (~v206(constB83)) | (~((~v186(constB83)) | (~v207(constB83))))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33386,plain,
% 15.70/11.77 (~v206(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33385, 33384, 33239])).
% 15.70/11.77 tff(33387,plain,
% 15.70/11.77 (((~v191(constB83)) | (~v206(constB83))) | v206(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33388,plain,
% 15.70/11.77 ((~v191(constB83)) | (~v206(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33387, 33386])).
% 15.70/11.77 tff(33389,plain,
% 15.70/11.77 ((~(v209(constB83) <=> (~((~v191(constB83)) | (~v206(constB83)))))) | (~v209(constB83)) | (~((~v191(constB83)) | (~v206(constB83))))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33390,plain,
% 15.70/11.77 (~v209(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33389, 33388, 33237])).
% 15.70/11.77 tff(33391,plain,
% 15.70/11.77 ((~(v205(constB83) | v209(constB83))) | v205(constB83) | v209(constB83)),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33392,plain,
% 15.70/11.77 (~(v205(constB83) | v209(constB83))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33391, 33390, 33230])).
% 15.70/11.77 tff(33393,plain,
% 15.70/11.77 ((~(v204(constB83) <=> (v205(constB83) | v209(constB83)))) | (~v204(constB83)) | (v205(constB83) | v209(constB83))),
% 15.70/11.77 inference(tautology,[status(thm)],[])).
% 15.70/11.77 tff(33394,plain,
% 15.70/11.77 (~v204(constB83)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33393, 33392, 32979])).
% 15.70/11.77 tff(33395,plain,
% 15.70/11.77 ($false),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33394, 32977])).
% 15.70/11.77 tff(33396,plain,(~(constB83 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.70/11.77 tff(33397,assumption,(constB115 = VarCurr!0), introduced(assumption)).
% 15.70/11.77 tff(33398,plain,
% 15.70/11.77 (v204(constB115) <=> v204(VarCurr!0)),
% 15.70/11.77 inference(monotonicity,[status(thm)],[33397])).
% 15.70/11.77 tff(33399,plain,
% 15.70/11.77 (v204(VarCurr!0) <=> v204(constB115)),
% 15.70/11.77 inference(symmetry,[status(thm)],[33398])).
% 15.70/11.77 tff(33400,plain,
% 15.70/11.77 (v204(constB115)),
% 15.70/11.77 inference(modus_ponens,[status(thm)],[27, 33399])).
% 15.70/11.77 tff(33401,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB115) <=> (v205(constB115) | v209(constB115)))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33402,plain,
% 15.70/11.77 (v204(constB115) <=> (v205(constB115) | v209(constB115))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33401, 35])).
% 15.70/11.77 tff(33403,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115))))))),
% 15.70/11.77 inference(rewrite,[status(thm)],[])).
% 15.70/11.77 tff(33404,plain,
% 15.70/11.77 ((v209(constB115) <=> (~((~v206(constB115)) | (~v191(constB115))))) <=> (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115)))))),
% 15.70/11.77 inference(rewrite,[status(thm)],[])).
% 15.70/11.77 tff(33405,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v206(constB115)) | (~v191(constB115)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115))))))),
% 15.70/11.77 inference(monotonicity,[status(thm)],[33404])).
% 15.70/11.77 tff(33406,plain,
% 15.70/11.77 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v206(constB115)) | (~v191(constB115)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115))))))),
% 15.70/11.77 inference(transitivity,[status(thm)],[33405, 33403])).
% 15.70/11.77 tff(33407,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v206(constB115)) | (~v191(constB115)))))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33408,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115)))))),
% 15.70/11.77 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 15.70/11.77 tff(33409,plain,
% 15.70/11.77 (v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115))))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33408, 47])).
% 15.70/11.77 tff(33410,plain,
% 15.70/11.77 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB115) <=> v196(constB115))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33411,plain,
% 15.70/11.77 (v191(constB115) <=> v196(constB115)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33410, 64])).
% 15.70/11.77 tff(33412,plain,
% 15.70/11.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB114, constB115)) | (v196(constB115) <=> v194(constB114)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB114, constB115)) | (v196(constB115) <=> v194(constB114)))),
% 15.70/11.77 inference(rewrite,[status(thm)],[])).
% 15.70/11.77 tff(33413,plain,
% 15.70/11.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB114, constB115)) | (v196(constB115) <=> v194(constB114)))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33414,plain,
% 15.70/11.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB114, constB115)) | (v196(constB115) <=> v194(constB114))),
% 15.70/11.77 inference(modus_ponens,[status(thm)],[33413, 33412])).
% 15.70/11.77 tff(33415,plain,
% 15.70/11.77 (v196(constB115) <=> v194(constB114)),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33414, 3128, 76])).
% 15.70/11.77 tff(33416,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB114) <=> (v197(constB114) | v198(constB114)))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33417,plain,
% 15.70/11.77 (v194(constB114) <=> (v197(constB114) | v198(constB114))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33416, 90])).
% 15.70/11.77 tff(33418,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB114) <=> (~((~v158(constB114)) | (~v199(constB114)))))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33419,plain,
% 15.70/11.77 (v198(constB114) <=> (~((~v158(constB114)) | (~v199(constB114))))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33418, 102])).
% 15.70/11.77 tff(33420,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB114) <=> (~((~v186(constB114)) | (~v200(constB114)))))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33421,plain,
% 15.70/11.77 (v199(constB114) <=> (~((~v186(constB114)) | (~v200(constB114))))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33420, 114])).
% 15.70/11.77 tff(33422,plain,
% 15.70/11.77 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB114) <=> (~((~v184(constB114)) | (~v84(constB114)))))),
% 15.70/11.77 inference(quant_inst,[status(thm)],[])).
% 15.70/11.77 tff(33423,plain,
% 15.70/11.77 (v200(constB114) <=> (~((~v184(constB114)) | (~v84(constB114))))),
% 15.70/11.77 inference(unit_resolution,[status(thm)],[33422, 126])).
% 15.70/11.77 tff(33424,plain,
% 15.70/11.77 (((~v184(constB114)) | (~v84(constB114))) | v184(constB114)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33425,plain,
% 15.70/11.78 ((~v184(constB114)) | (~v84(constB114))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33424, 3153])).
% 15.70/11.78 tff(33426,plain,
% 15.70/11.78 ((~(v200(constB114) <=> (~((~v184(constB114)) | (~v84(constB114)))))) | (~v200(constB114)) | (~((~v184(constB114)) | (~v84(constB114))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33427,plain,
% 15.70/11.78 ((~(v200(constB114) <=> (~((~v184(constB114)) | (~v84(constB114)))))) | (~v200(constB114))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33426, 33425])).
% 15.70/11.78 tff(33428,plain,
% 15.70/11.78 (~v200(constB114)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33427, 33423])).
% 15.70/11.78 tff(33429,plain,
% 15.70/11.78 (((~v186(constB114)) | (~v200(constB114))) | v200(constB114)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33430,plain,
% 15.70/11.78 ((~v186(constB114)) | (~v200(constB114))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33429, 33428])).
% 15.70/11.78 tff(33431,plain,
% 15.70/11.78 ((~(v199(constB114) <=> (~((~v186(constB114)) | (~v200(constB114)))))) | (~v199(constB114)) | (~((~v186(constB114)) | (~v200(constB114))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33432,plain,
% 15.70/11.78 (~v199(constB114)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33431, 33430, 33421])).
% 15.70/11.78 tff(33433,plain,
% 15.70/11.78 (((~v158(constB114)) | (~v199(constB114))) | v199(constB114)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33434,plain,
% 15.70/11.78 ((~v158(constB114)) | (~v199(constB114))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33433, 33432])).
% 15.70/11.78 tff(33435,plain,
% 15.70/11.78 ((~(v198(constB114) <=> (~((~v158(constB114)) | (~v199(constB114)))))) | (~v198(constB114)) | (~((~v158(constB114)) | (~v199(constB114))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33436,plain,
% 15.70/11.78 (~v198(constB114)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33435, 33434, 33419])).
% 15.70/11.78 tff(33437,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB114) <=> (~((~v182(constB114)) | (~v191(constB114)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33438,plain,
% 15.70/11.78 (v197(constB114) <=> (~((~v182(constB114)) | (~v191(constB114))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33437, 183])).
% 15.70/11.78 tff(33439,plain,
% 15.70/11.78 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB114) <=> v196(constB114))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33440,plain,
% 15.70/11.78 (v191(constB114) <=> v196(constB114)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33439, 64])).
% 15.70/11.78 tff(33441,plain,
% 15.70/11.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB113, constB114)) | (v196(constB114) <=> v194(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB113, constB114)) | (v196(constB114) <=> v194(constB113)))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33442,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB113, constB114)) | (v196(constB114) <=> v194(constB113)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33443,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB113, constB114)) | (v196(constB114) <=> v194(constB113))),
% 15.70/11.78 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 15.70/11.78 tff(33444,plain,
% 15.70/11.78 (v196(constB114) <=> v194(constB113)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33443, 3174, 76])).
% 15.70/11.78 tff(33445,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB113) <=> (v197(constB113) | v198(constB113)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33446,plain,
% 15.70/11.78 (v194(constB113) <=> (v197(constB113) | v198(constB113))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33445, 90])).
% 15.70/11.78 tff(33447,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB113) <=> (~((~v182(constB113)) | (~v191(constB113)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33448,plain,
% 15.70/11.78 (v197(constB113) <=> (~((~v182(constB113)) | (~v191(constB113))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33447, 183])).
% 15.70/11.78 tff(33449,plain,
% 15.70/11.78 (((~v182(constB113)) | (~v191(constB113))) | v182(constB113)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33450,plain,
% 15.70/11.78 ((~v182(constB113)) | (~v191(constB113))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33449, 3252])).
% 15.70/11.78 tff(33451,plain,
% 15.70/11.78 ((~(v197(constB113) <=> (~((~v182(constB113)) | (~v191(constB113)))))) | (~v197(constB113)) | (~((~v182(constB113)) | (~v191(constB113))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33452,plain,
% 15.70/11.78 (~v197(constB113)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33451, 33450, 33448])).
% 15.70/11.78 tff(33453,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB113) <=> (~((~v158(constB113)) | (~v199(constB113)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33454,plain,
% 15.70/11.78 (v198(constB113) <=> (~((~v158(constB113)) | (~v199(constB113))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33453, 102])).
% 15.70/11.78 tff(33455,plain,
% 15.70/11.78 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB113) <=> v180(constB113))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33456,plain,
% 15.70/11.78 (v158(constB113) <=> v180(constB113)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33455, 358])).
% 15.70/11.78 tff(33457,plain,
% 15.70/11.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB112, constB113)) | (v180(constB113) <=> v178(constB112)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB112, constB113)) | (v180(constB113) <=> v178(constB112)))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33458,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB112, constB113)) | (v180(constB113) <=> v178(constB112)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33459,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB112, constB113)) | (v180(constB113) <=> v178(constB112))),
% 15.70/11.78 inference(modus_ponens,[status(thm)],[33458, 33457])).
% 15.70/11.78 tff(33460,plain,
% 15.70/11.78 (v180(constB113) <=> v178(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33459, 3271, 370])).
% 15.70/11.78 tff(33461,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB112) <=> (v181(constB112) | v185(constB112)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33462,plain,
% 15.70/11.78 (v178(constB112) <=> (v181(constB112) | v185(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33461, 384])).
% 15.70/11.78 tff(33463,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB112) <=> (~((~v186(constB112)) | (~v187(constB112)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33464,plain,
% 15.70/11.78 (v185(constB112) <=> (~((~v186(constB112)) | (~v187(constB112))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33463, 396])).
% 15.70/11.78 tff(33465,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB112) <=> (~((~v184(constB112)) | (~v160(constB112)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33466,plain,
% 15.70/11.78 (v187(constB112) <=> (~((~v184(constB112)) | (~v160(constB112))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33465, 408])).
% 15.70/11.78 tff(33467,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33468,plain,
% 15.70/11.78 (v184(constB112) <=> (~((~v39(constB112)) | (~v9(constB112))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33467, 138])).
% 15.70/11.78 tff(33469,plain,
% 15.70/11.78 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB112)) <=> v1(constB112))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33470,plain,
% 15.70/11.78 ((~v39(constB112)) <=> v1(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33469, 147])).
% 15.70/11.78 tff(33471,plain,
% 15.70/11.78 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112)) | (~v1(constB112))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33472,plain,
% 15.70/11.78 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33471, 3333])).
% 15.70/11.78 tff(33473,plain,
% 15.70/11.78 (~v39(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33472, 33470])).
% 15.70/11.78 tff(33474,plain,
% 15.70/11.78 (((~v39(constB112)) | (~v9(constB112))) | v39(constB112)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33475,plain,
% 15.70/11.78 ((~v39(constB112)) | (~v9(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33474, 33473])).
% 15.70/11.78 tff(33476,plain,
% 15.70/11.78 ((~(v184(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v184(constB112)) | (~((~v39(constB112)) | (~v9(constB112))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33477,plain,
% 15.70/11.78 ((~(v184(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v184(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33476, 33475])).
% 15.70/11.78 tff(33478,plain,
% 15.70/11.78 (~v184(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33477, 33468])).
% 15.70/11.78 tff(33479,plain,
% 15.70/11.78 (((~v184(constB112)) | (~v160(constB112))) | v184(constB112)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33480,plain,
% 15.70/11.78 ((~v184(constB112)) | (~v160(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33479, 33478])).
% 15.70/11.78 tff(33481,plain,
% 15.70/11.78 ((~(v187(constB112) <=> (~((~v184(constB112)) | (~v160(constB112)))))) | (~v187(constB112)) | (~((~v184(constB112)) | (~v160(constB112))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33482,plain,
% 15.70/11.78 ((~(v187(constB112) <=> (~((~v184(constB112)) | (~v160(constB112)))))) | (~v187(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33481, 33480])).
% 15.70/11.78 tff(33483,plain,
% 15.70/11.78 (~v187(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33482, 33466])).
% 15.70/11.78 tff(33484,plain,
% 15.70/11.78 (((~v186(constB112)) | (~v187(constB112))) | v187(constB112)),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33485,plain,
% 15.70/11.78 ((~v186(constB112)) | (~v187(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33484, 33483])).
% 15.70/11.78 tff(33486,plain,
% 15.70/11.78 ((~(v185(constB112) <=> (~((~v186(constB112)) | (~v187(constB112)))))) | (~v185(constB112)) | (~((~v186(constB112)) | (~v187(constB112))))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33487,plain,
% 15.70/11.78 (~v185(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33486, 33485, 33464])).
% 15.70/11.78 tff(33488,plain,
% 15.70/11.78 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112))))))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33489,plain,
% 15.70/11.78 ((v181(constB112) <=> (~((~v182(constB112)) | (~v158(constB112))))) <=> (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112)))))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33490,plain,
% 15.70/11.78 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v182(constB112)) | (~v158(constB112)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112))))))),
% 15.70/11.78 inference(monotonicity,[status(thm)],[33489])).
% 15.70/11.78 tff(33491,plain,
% 15.70/11.78 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v182(constB112)) | (~v158(constB112)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112))))))),
% 15.70/11.78 inference(transitivity,[status(thm)],[33490, 33488])).
% 15.70/11.78 tff(33492,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v182(constB112)) | (~v158(constB112)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33493,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112)))))),
% 15.70/11.78 inference(modus_ponens,[status(thm)],[33492, 33491])).
% 15.70/11.78 tff(33494,plain,
% 15.70/11.78 (v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33493, 444])).
% 15.70/11.78 tff(33495,plain,
% 15.70/11.78 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB112) <=> v180(constB112))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33496,plain,
% 15.70/11.78 (v158(constB112) <=> v180(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33495, 358])).
% 15.70/11.78 tff(33497,plain,
% 15.70/11.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB111, constB112)) | (v180(constB112) <=> v178(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB111, constB112)) | (v180(constB112) <=> v178(constB111)))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33498,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB111, constB112)) | (v180(constB112) <=> v178(constB111)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33499,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB111, constB112)) | (v180(constB112) <=> v178(constB111))),
% 15.70/11.78 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 15.70/11.78 tff(33500,plain,
% 15.70/11.78 (v180(constB112) <=> v178(constB111)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33499, 3303, 370])).
% 15.70/11.78 tff(33501,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB111) <=> (v181(constB111) | v185(constB111)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33502,plain,
% 15.70/11.78 (v178(constB111) <=> (v181(constB111) | v185(constB111))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33501, 384])).
% 15.70/11.78 tff(33503,plain,
% 15.70/11.78 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111))))))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33504,plain,
% 15.70/11.78 ((v181(constB111) <=> (~((~v182(constB111)) | (~v158(constB111))))) <=> (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111)))))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33505,plain,
% 15.70/11.78 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v182(constB111)) | (~v158(constB111)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111))))))),
% 15.70/11.78 inference(monotonicity,[status(thm)],[33504])).
% 15.70/11.78 tff(33506,plain,
% 15.70/11.78 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v182(constB111)) | (~v158(constB111)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111))))))),
% 15.70/11.78 inference(transitivity,[status(thm)],[33505, 33503])).
% 15.70/11.78 tff(33507,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v182(constB111)) | (~v158(constB111)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33508,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111)))))),
% 15.70/11.78 inference(modus_ponens,[status(thm)],[33507, 33506])).
% 15.70/11.78 tff(33509,plain,
% 15.70/11.78 (v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33508, 444])).
% 15.70/11.78 tff(33510,plain,
% 15.70/11.78 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB111)) <=> v183(constB111))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33511,plain,
% 15.70/11.78 ((~v182(constB111)) <=> v183(constB111)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33510, 205])).
% 15.70/11.78 tff(33512,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB111) <=> (v184(constB111) | v26(constB111)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33513,plain,
% 15.70/11.78 (v183(constB111) <=> (v184(constB111) | v26(constB111))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33512, 214])).
% 15.70/11.78 tff(33514,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33515,plain,
% 15.70/11.78 (v184(constB111) <=> (~((~v39(constB111)) | (~v9(constB111))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33514, 138])).
% 15.70/11.78 tff(33516,plain,
% 15.70/11.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 15.70/11.78 inference(rewrite,[status(thm)],[])).
% 15.70/11.78 tff(33517,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33518,plain,
% 15.70/11.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111))),
% 15.70/11.78 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 15.70/11.78 tff(33519,plain,
% 15.70/11.78 (v13(constB112) <=> v9(constB111)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33518, 3303, 228])).
% 15.70/11.78 tff(33520,plain,
% 15.70/11.78 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB112) <=> v13(constB112))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33521,plain,
% 15.70/11.78 (v6(constB112) <=> v13(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33520, 242])).
% 15.70/11.78 tff(33522,plain,
% 15.70/11.78 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB112)) <=> v6(constB112))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33523,plain,
% 15.70/11.78 ((~v21(constB112)) <=> v6(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33522, 251])).
% 15.70/11.78 tff(33524,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB112) <=> (v20(constB112) | v21(constB112)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33525,plain,
% 15.70/11.78 (v19(constB112) <=> (v20(constB112) | v21(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33524, 260])).
% 15.70/11.78 tff(33526,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33527,plain,
% 15.70/11.78 (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112))))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33526, 272])).
% 15.70/11.78 tff(33528,plain,
% 15.70/11.78 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB112)) <=> v18(constB112))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33529,plain,
% 15.70/11.78 ((~v4(constB112)) <=> v18(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33528, 281])).
% 15.70/11.78 tff(33530,plain,
% 15.70/11.78 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB112)),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33531,plain,
% 15.70/11.78 (v4(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33530, 290])).
% 15.70/11.78 tff(33532,plain,
% 15.70/11.78 ((~((~v4(constB112)) <=> v18(constB112))) | (~v4(constB112)) | (~v18(constB112))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33533,plain,
% 15.70/11.78 (~v18(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33532, 33531, 33529])).
% 15.70/11.78 tff(33534,plain,
% 15.70/11.78 ((~(v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))) | v18(constB112) | ((~v19(constB112)) | (~v22(constB112)))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33535,plain,
% 15.70/11.78 ((~v19(constB112)) | (~v22(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33534, 33533, 33527])).
% 15.70/11.78 tff(33536,plain,
% 15.70/11.78 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB112) <=> (v1(constB112) | v6(constB112)))),
% 15.70/11.78 inference(quant_inst,[status(thm)],[])).
% 15.70/11.78 tff(33537,plain,
% 15.70/11.78 (v22(constB112) <=> (v1(constB112) | v6(constB112))),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33536, 303])).
% 15.70/11.78 tff(33538,plain,
% 15.70/11.78 ((v1(constB112) | v6(constB112)) | (~v1(constB112))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33539,plain,
% 15.70/11.78 (v1(constB112) | v6(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33538, 3333])).
% 15.70/11.78 tff(33540,plain,
% 15.70/11.78 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112) | (~(v1(constB112) | v6(constB112)))),
% 15.70/11.78 inference(tautology,[status(thm)],[])).
% 15.70/11.78 tff(33541,plain,
% 15.70/11.78 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112)),
% 15.70/11.78 inference(unit_resolution,[status(thm)],[33540, 33539])).
% 15.70/11.79 tff(33542,plain,
% 15.70/11.79 (v22(constB112)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33541, 33537])).
% 15.70/11.79 tff(33543,plain,
% 15.70/11.79 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112)) | (~v22(constB112))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33544,plain,
% 15.70/11.79 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33543, 33542])).
% 15.70/11.79 tff(33545,plain,
% 15.70/11.79 (~v19(constB112)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33544, 33535])).
% 15.70/11.79 tff(33546,plain,
% 15.70/11.79 ((~(v19(constB112) <=> (v20(constB112) | v21(constB112)))) | v19(constB112) | (~(v20(constB112) | v21(constB112)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33547,plain,
% 15.70/11.79 (~(v20(constB112) | v21(constB112))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33546, 33545, 33525])).
% 15.70/11.79 tff(33548,plain,
% 15.70/11.79 ((v20(constB112) | v21(constB112)) | (~v21(constB112))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33549,plain,
% 15.70/11.79 (~v21(constB112)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33548, 33547])).
% 15.70/11.79 tff(33550,plain,
% 15.70/11.79 ((~((~v21(constB112)) <=> v6(constB112))) | v21(constB112) | v6(constB112)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33551,plain,
% 15.70/11.79 (v6(constB112)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33550, 33549, 33523])).
% 15.70/11.79 tff(33552,plain,
% 15.70/11.79 ((~(v6(constB112) <=> v13(constB112))) | (~v6(constB112)) | v13(constB112)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33553,plain,
% 15.70/11.79 (v13(constB112)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33552, 33551, 33521])).
% 15.70/11.79 tff(33554,plain,
% 15.70/11.79 ((~(v13(constB112) <=> v9(constB111))) | (~v13(constB112)) | v9(constB111)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33555,plain,
% 15.70/11.79 (v9(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33554, 33553, 33519])).
% 15.70/11.79 tff(33556,plain,
% 15.70/11.79 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB111)) <=> v1(constB111))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33557,plain,
% 15.70/11.79 ((~v39(constB111)) <=> v1(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33556, 147])).
% 15.70/11.79 tff(33558,plain,
% 15.70/11.79 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111) | v1(constB111)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33559,plain,
% 15.70/11.79 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33558, 3325])).
% 15.70/11.79 tff(33560,plain,
% 15.70/11.79 (v39(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33559, 33557])).
% 15.70/11.79 tff(33561,plain,
% 15.70/11.79 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v39(constB111)) | (~v9(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33562,plain,
% 15.70/11.79 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v9(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33561, 33560])).
% 15.70/11.79 tff(33563,plain,
% 15.70/11.79 (~((~v39(constB111)) | (~v9(constB111)))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33562, 33555])).
% 15.70/11.79 tff(33564,plain,
% 15.70/11.79 ((~(v184(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))) | v184(constB111) | ((~v39(constB111)) | (~v9(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33565,plain,
% 15.70/11.79 (v184(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33564, 33563, 33515])).
% 15.70/11.79 tff(33566,plain,
% 15.70/11.79 ((v184(constB111) | v26(constB111)) | (~v184(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33567,plain,
% 15.70/11.79 (v184(constB111) | v26(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33566, 33565])).
% 15.70/11.79 tff(33568,plain,
% 15.70/11.79 ((~(v183(constB111) <=> (v184(constB111) | v26(constB111)))) | v183(constB111) | (~(v184(constB111) | v26(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33569,plain,
% 15.70/11.79 (v183(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33568, 33567, 33513])).
% 15.70/11.79 tff(33570,plain,
% 15.70/11.79 ((~((~v182(constB111)) <=> v183(constB111))) | (~v182(constB111)) | (~v183(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33571,plain,
% 15.70/11.79 (~v182(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33570, 33569, 33511])).
% 15.70/11.79 tff(33572,plain,
% 15.70/11.79 (((~v158(constB111)) | (~v182(constB111))) | v182(constB111)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33573,plain,
% 15.70/11.79 ((~v158(constB111)) | (~v182(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33572, 33571])).
% 15.70/11.79 tff(33574,plain,
% 15.70/11.79 ((~(v181(constB111) <=> (~((~v158(constB111)) | (~v182(constB111)))))) | (~v181(constB111)) | (~((~v158(constB111)) | (~v182(constB111))))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33575,plain,
% 15.70/11.79 (~v181(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33574, 33573, 33509])).
% 15.70/11.79 tff(33576,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB111) <=> (~((~v186(constB111)) | (~v187(constB111)))))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33577,plain,
% 15.70/11.79 (v185(constB111) <=> (~((~v186(constB111)) | (~v187(constB111))))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33576, 396])).
% 15.70/11.79 tff(33578,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB111) <=> (~((~v184(constB111)) | (~v160(constB111)))))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33579,plain,
% 15.70/11.79 (v187(constB111) <=> (~((~v184(constB111)) | (~v160(constB111))))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33578, 408])).
% 15.70/11.79 tff(33580,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB111) <=> v162(constB111))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33581,plain,
% 15.70/11.79 (v160(constB111) <=> v162(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33580, 549])).
% 15.70/11.79 tff(33582,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB111) <=> (v139(constB111) | v140(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33583,plain,
% 15.70/11.79 (v170(constB111) <=> (v139(constB111) | v140(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33582, 2216])).
% 15.70/11.79 tff(33584,plain,
% 15.70/11.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0))))))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33585,plain,
% 15.70/11.79 ((v140(constB111) <=> (~(v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0))))) <=> (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33586,plain,
% 15.70/11.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0))))))),
% 15.70/11.79 inference(monotonicity,[status(thm)],[33585])).
% 15.70/11.79 tff(33587,plain,
% 15.70/11.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0))))))),
% 15.70/11.79 inference(transitivity,[status(thm)],[33586, 33584])).
% 15.70/11.79 tff(33588,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33589,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))))),
% 15.70/11.79 inference(modus_ponens,[status(thm)],[33588, 33587])).
% 15.70/11.79 tff(33590,plain,
% 15.70/11.79 (v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0))))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33589, 2250])).
% 15.70/11.79 tff(33591,plain,
% 15.70/11.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB111, bitIndex2) <=> v90(constB111, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB111, bitIndex2) <=> v90(constB111, bitIndex2)))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33592,plain,
% 15.70/11.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB111, bitIndex2) <=> v90(constB111, bitIndex2)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33593,plain,
% 15.70/11.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB111, bitIndex2) <=> v90(constB111, bitIndex2))),
% 15.70/11.79 inference(modus_ponens,[status(thm)],[33592, 33591])).
% 15.70/11.79 tff(33594,plain,
% 15.70/11.79 (v88(constB111, bitIndex2) <=> v90(constB111, bitIndex2)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33593, 579, 576])).
% 15.70/11.79 tff(33595,plain,
% 15.70/11.79 ((~(v88(constB111, bitIndex2) <=> v90(constB111, bitIndex2))) | (~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33596,plain,
% 15.70/11.79 (~v88(constB111, bitIndex2)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33595, 15837, 33594])).
% 15.70/11.79 tff(33597,plain,
% 15.70/11.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB111, bitIndex0) <=> v90(constB111, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB111, bitIndex0) <=> v90(constB111, bitIndex0)))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33598,plain,
% 15.70/11.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB111, bitIndex0) <=> v90(constB111, bitIndex0)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33599,plain,
% 15.70/11.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB111, bitIndex0) <=> v90(constB111, bitIndex0))),
% 15.70/11.79 inference(modus_ponens,[status(thm)],[33598, 33597])).
% 15.70/11.79 tff(33600,plain,
% 15.70/11.79 (v88(constB111, bitIndex0) <=> v90(constB111, bitIndex0)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33599, 1275, 576])).
% 15.70/11.79 tff(33601,plain,
% 15.70/11.79 ((~(v88(constB111, bitIndex0) <=> v90(constB111, bitIndex0))) | v88(constB111, bitIndex0) | (~v90(constB111, bitIndex0))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33602,plain,
% 15.70/11.79 (v88(constB111, bitIndex0)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33601, 15868, 33600])).
% 15.70/11.79 tff(33603,plain,
% 15.70/11.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB111, bitIndex1) <=> v90(constB111, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB111, bitIndex1) <=> v90(constB111, bitIndex1)))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33604,plain,
% 15.70/11.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB111, bitIndex1) <=> v90(constB111, bitIndex1)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33605,plain,
% 15.70/11.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB111, bitIndex1) <=> v90(constB111, bitIndex1))),
% 15.70/11.79 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 15.70/11.79 tff(33606,plain,
% 15.70/11.79 (v88(constB111, bitIndex1) <=> v90(constB111, bitIndex1)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33605, 1288, 576])).
% 15.70/11.79 tff(33607,plain,
% 15.70/11.79 ((~(v88(constB111, bitIndex1) <=> v90(constB111, bitIndex1))) | (~v88(constB111, bitIndex1)) | v90(constB111, bitIndex1)),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33608,plain,
% 15.70/11.79 (~v88(constB111, bitIndex1)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33607, 15899, 33606])).
% 15.70/11.79 tff(33609,plain,
% 15.70/11.79 ((~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))) | v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33610,plain,
% 15.70/11.79 (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33609, 33608, 33602, 33596])).
% 15.70/11.79 tff(33611,plain,
% 15.70/11.79 ((~(v140(constB111) <=> (~(v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))))) | v140(constB111) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33612,plain,
% 15.70/11.79 (v140(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33611, 33610, 33590])).
% 15.70/11.79 tff(33613,plain,
% 15.70/11.79 ((v139(constB111) | v140(constB111)) | (~v140(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33614,plain,
% 15.70/11.79 (v139(constB111) | v140(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33613, 33612])).
% 15.70/11.79 tff(33615,plain,
% 15.70/11.79 ((~(v170(constB111) <=> (v139(constB111) | v140(constB111)))) | v170(constB111) | (~(v139(constB111) | v140(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33616,plain,
% 15.70/11.79 (v170(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33615, 33614, 33583])).
% 15.70/11.79 tff(33617,plain,
% 15.70/11.79 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB111)) | (~v169(constB111)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB111)) | (~v169(constB111)))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33618,plain,
% 15.70/11.79 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB111)) | (~v169(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33619,plain,
% 15.70/11.79 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB111)) | (~v169(constB111))),
% 15.70/11.79 inference(modus_ponens,[status(thm)],[33618, 33617])).
% 15.70/11.79 tff(33620,plain,
% 15.70/11.79 ((~v170(constB111)) | (~v169(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33619, 18673])).
% 15.70/11.79 tff(33621,plain,
% 15.70/11.79 (~v169(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33620, 33616])).
% 15.70/11.79 tff(33622,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB111) <=> (v145(constB111) | v166(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33623,plain,
% 15.70/11.79 (v165(constB111) <=> (v145(constB111) | v166(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33622, 2293])).
% 15.70/11.79 tff(33624,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB111) <=> (v142(constB111) | v167(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33625,plain,
% 15.70/11.79 (v166(constB111) <=> (v142(constB111) | v167(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33624, 2804])).
% 15.70/11.79 tff(33626,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB111) <=> (v141(constB111) | v168(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33627,plain,
% 15.70/11.79 (v167(constB111) <=> (v141(constB111) | v168(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33626, 18692])).
% 15.70/11.79 tff(33628,plain,
% 15.70/11.79 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB111) <=> (v139(constB111) | v140(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33629,plain,
% 15.70/11.79 (v168(constB111) <=> (v139(constB111) | v140(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33628, 18701])).
% 15.70/11.79 tff(33630,plain,
% 15.70/11.79 ((~(v168(constB111) <=> (v139(constB111) | v140(constB111)))) | v168(constB111) | (~(v139(constB111) | v140(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33631,plain,
% 15.70/11.79 (v168(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33630, 33614, 33629])).
% 15.70/11.79 tff(33632,plain,
% 15.70/11.79 ((v141(constB111) | v168(constB111)) | (~v168(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33633,plain,
% 15.70/11.79 (v141(constB111) | v168(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33632, 33631])).
% 15.70/11.79 tff(33634,plain,
% 15.70/11.79 ((~(v167(constB111) <=> (v141(constB111) | v168(constB111)))) | v167(constB111) | (~(v141(constB111) | v168(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33635,plain,
% 15.70/11.79 (v167(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33634, 33633, 33627])).
% 15.70/11.79 tff(33636,plain,
% 15.70/11.79 ((v142(constB111) | v167(constB111)) | (~v167(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33637,plain,
% 15.70/11.79 (v142(constB111) | v167(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33636, 33635])).
% 15.70/11.79 tff(33638,plain,
% 15.70/11.79 ((~(v166(constB111) <=> (v142(constB111) | v167(constB111)))) | v166(constB111) | (~(v142(constB111) | v167(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33639,plain,
% 15.70/11.79 (v166(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33638, 33637, 33625])).
% 15.70/11.79 tff(33640,plain,
% 15.70/11.79 ((v145(constB111) | v166(constB111)) | (~v166(constB111))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33641,plain,
% 15.70/11.79 (v145(constB111) | v166(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33640, 33639])).
% 15.70/11.79 tff(33642,plain,
% 15.70/11.79 ((~(v165(constB111) <=> (v145(constB111) | v166(constB111)))) | v165(constB111) | (~(v145(constB111) | v166(constB111)))),
% 15.70/11.79 inference(tautology,[status(thm)],[])).
% 15.70/11.79 tff(33643,plain,
% 15.70/11.79 (v165(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33642, 33641, 33623])).
% 15.70/11.79 tff(33644,plain,
% 15.70/11.79 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB111)) | (v162(constB111) <=> v169(constB111)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB111)) | (v162(constB111) <=> v169(constB111)))),
% 15.70/11.79 inference(rewrite,[status(thm)],[])).
% 15.70/11.79 tff(33645,plain,
% 15.70/11.79 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB111)) | (v162(constB111) <=> v169(constB111)))),
% 15.70/11.79 inference(quant_inst,[status(thm)],[])).
% 15.70/11.79 tff(33646,plain,
% 15.70/11.79 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB111)) | (v162(constB111) <=> v169(constB111))),
% 15.70/11.79 inference(modus_ponens,[status(thm)],[33645, 33644])).
% 15.70/11.79 tff(33647,plain,
% 15.70/11.79 ((~v165(constB111)) | (v162(constB111) <=> v169(constB111))),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33646, 2426])).
% 15.70/11.79 tff(33648,plain,
% 15.70/11.79 (v162(constB111) <=> v169(constB111)),
% 15.70/11.79 inference(unit_resolution,[status(thm)],[33647, 33643])).
% 15.70/11.79 tff(33649,plain,
% 15.70/11.79 ((~(v162(constB111) <=> v169(constB111))) | (~v162(constB111)) | v169(constB111)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33650,plain,
% 15.70/11.80 (~v162(constB111)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33649, 33648, 33621])).
% 15.70/11.80 tff(33651,plain,
% 15.70/11.80 ((~(v160(constB111) <=> v162(constB111))) | (~v160(constB111)) | v162(constB111)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33652,plain,
% 15.70/11.80 ((~(v160(constB111) <=> v162(constB111))) | (~v160(constB111))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33651, 33650])).
% 15.70/11.80 tff(33653,plain,
% 15.70/11.80 (~v160(constB111)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33652, 33581])).
% 15.70/11.80 tff(33654,plain,
% 15.70/11.80 (((~v184(constB111)) | (~v160(constB111))) | v160(constB111)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33655,plain,
% 15.70/11.80 ((~v184(constB111)) | (~v160(constB111))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33654, 33653])).
% 15.70/11.80 tff(33656,plain,
% 15.70/11.80 ((~(v187(constB111) <=> (~((~v184(constB111)) | (~v160(constB111)))))) | (~v187(constB111)) | (~((~v184(constB111)) | (~v160(constB111))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33657,plain,
% 15.70/11.80 (~v187(constB111)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33656, 33655, 33579])).
% 15.70/11.80 tff(33658,plain,
% 15.70/11.80 (((~v186(constB111)) | (~v187(constB111))) | v187(constB111)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33659,plain,
% 15.70/11.80 ((~v186(constB111)) | (~v187(constB111))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33658, 33657])).
% 15.70/11.80 tff(33660,plain,
% 15.70/11.80 ((~(v185(constB111) <=> (~((~v186(constB111)) | (~v187(constB111)))))) | (~v185(constB111)) | (~((~v186(constB111)) | (~v187(constB111))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33661,plain,
% 15.70/11.80 (~v185(constB111)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33660, 33659, 33577])).
% 15.70/11.80 tff(33662,plain,
% 15.70/11.80 ((~(v181(constB111) | v185(constB111))) | v181(constB111) | v185(constB111)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33663,plain,
% 15.70/11.80 (~(v181(constB111) | v185(constB111))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33662, 33661, 33575])).
% 15.70/11.80 tff(33664,plain,
% 15.70/11.80 ((~(v178(constB111) <=> (v181(constB111) | v185(constB111)))) | (~v178(constB111)) | (v181(constB111) | v185(constB111))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33665,plain,
% 15.70/11.80 (~v178(constB111)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33664, 33663, 33502])).
% 15.70/11.80 tff(33666,plain,
% 15.70/11.80 ((~(v180(constB112) <=> v178(constB111))) | (~v180(constB112)) | v178(constB111)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33667,plain,
% 15.70/11.80 (~v180(constB112)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33666, 33665, 33500])).
% 15.70/11.80 tff(33668,plain,
% 15.70/11.80 ((~(v158(constB112) <=> v180(constB112))) | (~v158(constB112)) | v180(constB112)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33669,plain,
% 15.70/11.80 (~v158(constB112)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33668, 33667, 33496])).
% 15.70/11.80 tff(33670,plain,
% 15.70/11.80 (((~v158(constB112)) | (~v182(constB112))) | v158(constB112)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33671,plain,
% 15.70/11.80 ((~v158(constB112)) | (~v182(constB112))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33670, 33669])).
% 15.70/11.80 tff(33672,plain,
% 15.70/11.80 ((~(v181(constB112) <=> (~((~v158(constB112)) | (~v182(constB112)))))) | (~v181(constB112)) | (~((~v158(constB112)) | (~v182(constB112))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33673,plain,
% 15.70/11.80 (~v181(constB112)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33672, 33671, 33494])).
% 15.70/11.80 tff(33674,plain,
% 15.70/11.80 ((~(v181(constB112) | v185(constB112))) | v181(constB112) | v185(constB112)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33675,plain,
% 15.70/11.80 (~(v181(constB112) | v185(constB112))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33674, 33673, 33487])).
% 15.70/11.80 tff(33676,plain,
% 15.70/11.80 ((~(v178(constB112) <=> (v181(constB112) | v185(constB112)))) | (~v178(constB112)) | (v181(constB112) | v185(constB112))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33677,plain,
% 15.70/11.80 (~v178(constB112)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33676, 33675, 33462])).
% 15.70/11.80 tff(33678,plain,
% 15.70/11.80 ((~(v180(constB113) <=> v178(constB112))) | (~v180(constB113)) | v178(constB112)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33679,plain,
% 15.70/11.80 (~v180(constB113)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33678, 33677, 33460])).
% 15.70/11.80 tff(33680,plain,
% 15.70/11.80 ((~(v158(constB113) <=> v180(constB113))) | (~v158(constB113)) | v180(constB113)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33681,plain,
% 15.70/11.80 (~v158(constB113)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33680, 33679, 33456])).
% 15.70/11.80 tff(33682,plain,
% 15.70/11.80 (((~v158(constB113)) | (~v199(constB113))) | v158(constB113)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33683,plain,
% 15.70/11.80 ((~v158(constB113)) | (~v199(constB113))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33682, 33681])).
% 15.70/11.80 tff(33684,plain,
% 15.70/11.80 ((~(v198(constB113) <=> (~((~v158(constB113)) | (~v199(constB113)))))) | (~v198(constB113)) | (~((~v158(constB113)) | (~v199(constB113))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33685,plain,
% 15.70/11.80 (~v198(constB113)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33684, 33683, 33454])).
% 15.70/11.80 tff(33686,plain,
% 15.70/11.80 ((~(v197(constB113) | v198(constB113))) | v197(constB113) | v198(constB113)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33687,plain,
% 15.70/11.80 (~(v197(constB113) | v198(constB113))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33686, 33685, 33452])).
% 15.70/11.80 tff(33688,plain,
% 15.70/11.80 ((~(v194(constB113) <=> (v197(constB113) | v198(constB113)))) | (~v194(constB113)) | (v197(constB113) | v198(constB113))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33689,plain,
% 15.70/11.80 (~v194(constB113)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33688, 33687, 33446])).
% 15.70/11.80 tff(33690,plain,
% 15.70/11.80 ((~(v196(constB114) <=> v194(constB113))) | (~v196(constB114)) | v194(constB113)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33691,plain,
% 15.70/11.80 (~v196(constB114)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33690, 33689, 33444])).
% 15.70/11.80 tff(33692,plain,
% 15.70/11.80 ((~(v191(constB114) <=> v196(constB114))) | (~v191(constB114)) | v196(constB114)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33693,plain,
% 15.70/11.80 (~v191(constB114)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33692, 33691, 33440])).
% 15.70/11.80 tff(33694,plain,
% 15.70/11.80 (((~v182(constB114)) | (~v191(constB114))) | v191(constB114)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33695,plain,
% 15.70/11.80 ((~v182(constB114)) | (~v191(constB114))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33694, 33693])).
% 15.70/11.80 tff(33696,plain,
% 15.70/11.80 ((~(v197(constB114) <=> (~((~v182(constB114)) | (~v191(constB114)))))) | (~v197(constB114)) | (~((~v182(constB114)) | (~v191(constB114))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33697,plain,
% 15.70/11.80 (~v197(constB114)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33696, 33695, 33438])).
% 15.70/11.80 tff(33698,plain,
% 15.70/11.80 ((~(v197(constB114) | v198(constB114))) | v197(constB114) | v198(constB114)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33699,plain,
% 15.70/11.80 (~(v197(constB114) | v198(constB114))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33698, 33697, 33436])).
% 15.70/11.80 tff(33700,plain,
% 15.70/11.80 ((~(v194(constB114) <=> (v197(constB114) | v198(constB114)))) | (~v194(constB114)) | (v197(constB114) | v198(constB114))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33701,plain,
% 15.70/11.80 (~v194(constB114)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33700, 33699, 33417])).
% 15.70/11.80 tff(33702,plain,
% 15.70/11.80 ((~(v196(constB115) <=> v194(constB114))) | (~v196(constB115)) | v194(constB114)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33703,plain,
% 15.70/11.80 (~v196(constB115)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33702, 33701, 33415])).
% 15.70/11.80 tff(33704,plain,
% 15.70/11.80 ((~(v191(constB115) <=> v196(constB115))) | (~v191(constB115)) | v196(constB115)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33705,plain,
% 15.70/11.80 (~v191(constB115)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33704, 33703, 33411])).
% 15.70/11.80 tff(33706,plain,
% 15.70/11.80 (((~v191(constB115)) | (~v206(constB115))) | v191(constB115)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33707,plain,
% 15.70/11.80 ((~v191(constB115)) | (~v206(constB115))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33706, 33705])).
% 15.70/11.80 tff(33708,plain,
% 15.70/11.80 ((~(v209(constB115) <=> (~((~v191(constB115)) | (~v206(constB115)))))) | (~v209(constB115)) | (~((~v191(constB115)) | (~v206(constB115))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33709,plain,
% 15.70/11.80 (~v209(constB115)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33708, 33707, 33409])).
% 15.70/11.80 tff(33710,plain,
% 15.70/11.80 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115))))))),
% 15.70/11.80 inference(rewrite,[status(thm)],[])).
% 15.70/11.80 tff(33711,plain,
% 15.70/11.80 ((v205(constB115) <=> (~((~v206(constB115)) | (~v158(constB115))))) <=> (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115)))))),
% 15.70/11.80 inference(rewrite,[status(thm)],[])).
% 15.70/11.80 tff(33712,plain,
% 15.70/11.80 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v206(constB115)) | (~v158(constB115)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115))))))),
% 15.70/11.80 inference(monotonicity,[status(thm)],[33711])).
% 15.70/11.80 tff(33713,plain,
% 15.70/11.80 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v206(constB115)) | (~v158(constB115)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115))))))),
% 15.70/11.80 inference(transitivity,[status(thm)],[33712, 33710])).
% 15.70/11.80 tff(33714,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v206(constB115)) | (~v158(constB115)))))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33715,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115)))))),
% 15.70/11.80 inference(modus_ponens,[status(thm)],[33714, 33713])).
% 15.70/11.80 tff(33716,plain,
% 15.70/11.80 (v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115))))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33715, 2502])).
% 15.70/11.80 tff(33717,plain,
% 15.70/11.80 (((~v158(constB115)) | (~v206(constB115))) | v158(constB115)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33718,plain,
% 15.70/11.80 ((~v158(constB115)) | (~v206(constB115))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33717, 16182])).
% 15.70/11.80 tff(33719,plain,
% 15.70/11.80 ((~(v205(constB115) <=> (~((~v158(constB115)) | (~v206(constB115)))))) | (~v205(constB115)) | (~((~v158(constB115)) | (~v206(constB115))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33720,plain,
% 15.70/11.80 (~v205(constB115)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33719, 33718, 33716])).
% 15.70/11.80 tff(33721,plain,
% 15.70/11.80 ((~(v205(constB115) | v209(constB115))) | v205(constB115) | v209(constB115)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33722,plain,
% 15.70/11.80 (~(v205(constB115) | v209(constB115))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33721, 33720, 33709])).
% 15.70/11.80 tff(33723,plain,
% 15.70/11.80 ((~(v204(constB115) <=> (v205(constB115) | v209(constB115)))) | (~v204(constB115)) | (v205(constB115) | v209(constB115))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33724,plain,
% 15.70/11.80 (~v204(constB115)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33723, 33722, 33402])).
% 15.70/11.80 tff(33725,plain,
% 15.70/11.80 ($false),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33724, 33400])).
% 15.70/11.80 tff(33726,plain,(~(constB115 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.70/11.80 tff(33727,assumption,(constB77 = VarCurr!0), introduced(assumption)).
% 15.70/11.80 tff(33728,plain,
% 15.70/11.80 (v204(constB77) <=> v204(VarCurr!0)),
% 15.70/11.80 inference(monotonicity,[status(thm)],[33727])).
% 15.70/11.80 tff(33729,plain,
% 15.70/11.80 (v204(VarCurr!0) <=> v204(constB77)),
% 15.70/11.80 inference(symmetry,[status(thm)],[33728])).
% 15.70/11.80 tff(33730,plain,
% 15.70/11.80 (v204(constB77)),
% 15.70/11.80 inference(modus_ponens,[status(thm)],[27, 33729])).
% 15.70/11.80 tff(33731,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB77) <=> (v205(constB77) | v209(constB77)))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33732,plain,
% 15.70/11.80 (v204(constB77) <=> (v205(constB77) | v209(constB77))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33731, 35])).
% 15.70/11.80 tff(33733,plain,
% 15.70/11.80 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77))))))),
% 15.70/11.80 inference(rewrite,[status(thm)],[])).
% 15.70/11.80 tff(33734,plain,
% 15.70/11.80 ((v209(constB77) <=> (~((~v206(constB77)) | (~v191(constB77))))) <=> (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77)))))),
% 15.70/11.80 inference(rewrite,[status(thm)],[])).
% 15.70/11.80 tff(33735,plain,
% 15.70/11.80 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v206(constB77)) | (~v191(constB77)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77))))))),
% 15.70/11.80 inference(monotonicity,[status(thm)],[33734])).
% 15.70/11.80 tff(33736,plain,
% 15.70/11.80 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v206(constB77)) | (~v191(constB77)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77))))))),
% 15.70/11.80 inference(transitivity,[status(thm)],[33735, 33733])).
% 15.70/11.80 tff(33737,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v206(constB77)) | (~v191(constB77)))))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33738,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77)))))),
% 15.70/11.80 inference(modus_ponens,[status(thm)],[33737, 33736])).
% 15.70/11.80 tff(33739,plain,
% 15.70/11.80 (v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77))))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33738, 47])).
% 15.70/11.80 tff(33740,plain,
% 15.70/11.80 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB77) <=> v196(constB77))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33741,plain,
% 15.70/11.80 (v191(constB77) <=> v196(constB77)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33740, 64])).
% 15.70/11.80 tff(33742,plain,
% 15.70/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB76, constB77)) | (v196(constB77) <=> v194(constB76)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB76, constB77)) | (v196(constB77) <=> v194(constB76)))),
% 15.70/11.80 inference(rewrite,[status(thm)],[])).
% 15.70/11.80 tff(33743,plain,
% 15.70/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB76, constB77)) | (v196(constB77) <=> v194(constB76)))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33744,plain,
% 15.70/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB76, constB77)) | (v196(constB77) <=> v194(constB76))),
% 15.70/11.80 inference(modus_ponens,[status(thm)],[33743, 33742])).
% 15.70/11.80 tff(33745,plain,
% 15.70/11.80 (v196(constB77) <=> v194(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33744, 4940, 76])).
% 15.70/11.80 tff(33746,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB76) <=> (v197(constB76) | v198(constB76)))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33747,plain,
% 15.70/11.80 (v194(constB76) <=> (v197(constB76) | v198(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33746, 90])).
% 15.70/11.80 tff(33748,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB76) <=> (~((~v158(constB76)) | (~v199(constB76)))))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33749,plain,
% 15.70/11.80 (v198(constB76) <=> (~((~v158(constB76)) | (~v199(constB76))))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33748, 102])).
% 15.70/11.80 tff(33750,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB76) <=> (~((~v186(constB76)) | (~v200(constB76)))))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33751,plain,
% 15.70/11.80 (v199(constB76) <=> (~((~v186(constB76)) | (~v200(constB76))))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33750, 114])).
% 15.70/11.80 tff(33752,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB76) <=> (~((~v184(constB76)) | (~v84(constB76)))))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33753,plain,
% 15.70/11.80 (v200(constB76) <=> (~((~v184(constB76)) | (~v84(constB76))))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33752, 126])).
% 15.70/11.80 tff(33754,plain,
% 15.70/11.80 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33755,plain,
% 15.70/11.80 (v184(constB76) <=> (~((~v39(constB76)) | (~v9(constB76))))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33754, 138])).
% 15.70/11.80 tff(33756,plain,
% 15.70/11.80 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB76)) <=> v1(constB76))),
% 15.70/11.80 inference(quant_inst,[status(thm)],[])).
% 15.70/11.80 tff(33757,plain,
% 15.70/11.80 ((~v39(constB76)) <=> v1(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33756, 147])).
% 15.70/11.80 tff(33758,plain,
% 15.70/11.80 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76)) | (~v1(constB76))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33759,plain,
% 15.70/11.80 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33758, 5002])).
% 15.70/11.80 tff(33760,plain,
% 15.70/11.80 (~v39(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33759, 33757])).
% 15.70/11.80 tff(33761,plain,
% 15.70/11.80 (((~v39(constB76)) | (~v9(constB76))) | v39(constB76)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33762,plain,
% 15.70/11.80 ((~v39(constB76)) | (~v9(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33761, 33760])).
% 15.70/11.80 tff(33763,plain,
% 15.70/11.80 ((~(v184(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v184(constB76)) | (~((~v39(constB76)) | (~v9(constB76))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33764,plain,
% 15.70/11.80 ((~(v184(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v184(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33763, 33762])).
% 15.70/11.80 tff(33765,plain,
% 15.70/11.80 (~v184(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33764, 33755])).
% 15.70/11.80 tff(33766,plain,
% 15.70/11.80 (((~v184(constB76)) | (~v84(constB76))) | v184(constB76)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33767,plain,
% 15.70/11.80 ((~v184(constB76)) | (~v84(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33766, 33765])).
% 15.70/11.80 tff(33768,plain,
% 15.70/11.80 ((~(v200(constB76) <=> (~((~v184(constB76)) | (~v84(constB76)))))) | (~v200(constB76)) | (~((~v184(constB76)) | (~v84(constB76))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33769,plain,
% 15.70/11.80 ((~(v200(constB76) <=> (~((~v184(constB76)) | (~v84(constB76)))))) | (~v200(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33768, 33767])).
% 15.70/11.80 tff(33770,plain,
% 15.70/11.80 (~v200(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33769, 33753])).
% 15.70/11.80 tff(33771,plain,
% 15.70/11.80 (((~v186(constB76)) | (~v200(constB76))) | v200(constB76)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33772,plain,
% 15.70/11.80 ((~v186(constB76)) | (~v200(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33771, 33770])).
% 15.70/11.80 tff(33773,plain,
% 15.70/11.80 ((~(v199(constB76) <=> (~((~v186(constB76)) | (~v200(constB76)))))) | (~v199(constB76)) | (~((~v186(constB76)) | (~v200(constB76))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33774,plain,
% 15.70/11.80 (~v199(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33773, 33772, 33751])).
% 15.70/11.80 tff(33775,plain,
% 15.70/11.80 (((~v158(constB76)) | (~v199(constB76))) | v199(constB76)),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33776,plain,
% 15.70/11.80 ((~v158(constB76)) | (~v199(constB76))),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33775, 33774])).
% 15.70/11.80 tff(33777,plain,
% 15.70/11.80 ((~(v198(constB76) <=> (~((~v158(constB76)) | (~v199(constB76)))))) | (~v198(constB76)) | (~((~v158(constB76)) | (~v199(constB76))))),
% 15.70/11.80 inference(tautology,[status(thm)],[])).
% 15.70/11.80 tff(33778,plain,
% 15.70/11.80 (~v198(constB76)),
% 15.70/11.80 inference(unit_resolution,[status(thm)],[33777, 33776, 33749])).
% 15.70/11.81 tff(33779,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB76) <=> (~((~v182(constB76)) | (~v191(constB76)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33780,plain,
% 15.70/11.81 (v197(constB76) <=> (~((~v182(constB76)) | (~v191(constB76))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33779, 183])).
% 15.70/11.81 tff(33781,plain,
% 15.70/11.81 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB76) <=> v196(constB76))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33782,plain,
% 15.70/11.81 (v191(constB76) <=> v196(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33781, 64])).
% 15.70/11.81 tff(33783,plain,
% 15.70/11.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB75, constB76)) | (v196(constB76) <=> v194(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB75, constB76)) | (v196(constB76) <=> v194(constB75)))),
% 15.70/11.81 inference(rewrite,[status(thm)],[])).
% 15.70/11.81 tff(33784,plain,
% 15.70/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB75, constB76)) | (v196(constB76) <=> v194(constB75)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33785,plain,
% 15.70/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB75, constB76)) | (v196(constB76) <=> v194(constB75))),
% 15.70/11.81 inference(modus_ponens,[status(thm)],[33784, 33783])).
% 15.70/11.81 tff(33786,plain,
% 15.70/11.81 (v196(constB76) <=> v194(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33785, 4972, 76])).
% 15.70/11.81 tff(33787,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB75) <=> (v197(constB75) | v198(constB75)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33788,plain,
% 15.70/11.81 (v194(constB75) <=> (v197(constB75) | v198(constB75))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33787, 90])).
% 15.70/11.81 tff(33789,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB75) <=> (~((~v182(constB75)) | (~v191(constB75)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33790,plain,
% 15.70/11.81 (v197(constB75) <=> (~((~v182(constB75)) | (~v191(constB75))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33789, 183])).
% 15.70/11.81 tff(33791,plain,
% 15.70/11.81 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB75)) <=> v183(constB75))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33792,plain,
% 15.70/11.81 ((~v182(constB75)) <=> v183(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33791, 205])).
% 15.70/11.81 tff(33793,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB75) <=> (v184(constB75) | v26(constB75)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33794,plain,
% 15.70/11.81 (v183(constB75) <=> (v184(constB75) | v26(constB75))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33793, 214])).
% 15.70/11.81 tff(33795,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33796,plain,
% 15.70/11.81 (v184(constB75) <=> (~((~v39(constB75)) | (~v9(constB75))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33795, 138])).
% 15.70/11.81 tff(33797,plain,
% 15.70/11.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 15.70/11.81 inference(rewrite,[status(thm)],[])).
% 15.70/11.81 tff(33798,plain,
% 15.70/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33799,plain,
% 15.70/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75))),
% 15.70/11.81 inference(modus_ponens,[status(thm)],[33798, 33797])).
% 15.70/11.81 tff(33800,plain,
% 15.70/11.81 (v13(constB76) <=> v9(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33799, 4972, 228])).
% 15.70/11.81 tff(33801,plain,
% 15.70/11.81 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB76) <=> v13(constB76))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33802,plain,
% 15.70/11.81 (v6(constB76) <=> v13(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33801, 242])).
% 15.70/11.81 tff(33803,plain,
% 15.70/11.81 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB76)) <=> v6(constB76))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33804,plain,
% 15.70/11.81 ((~v21(constB76)) <=> v6(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33803, 251])).
% 15.70/11.81 tff(33805,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB76) <=> (v20(constB76) | v21(constB76)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33806,plain,
% 15.70/11.81 (v19(constB76) <=> (v20(constB76) | v21(constB76))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33805, 260])).
% 15.70/11.81 tff(33807,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33808,plain,
% 15.70/11.81 (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33807, 272])).
% 15.70/11.81 tff(33809,plain,
% 15.70/11.81 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB76)) <=> v18(constB76))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33810,plain,
% 15.70/11.81 ((~v4(constB76)) <=> v18(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33809, 281])).
% 15.70/11.81 tff(33811,plain,
% 15.70/11.81 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB76)),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33812,plain,
% 15.70/11.81 (v4(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33811, 290])).
% 15.70/11.81 tff(33813,plain,
% 15.70/11.81 ((~((~v4(constB76)) <=> v18(constB76))) | (~v4(constB76)) | (~v18(constB76))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33814,plain,
% 15.70/11.81 (~v18(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33813, 33812, 33810])).
% 15.70/11.81 tff(33815,plain,
% 15.70/11.81 ((~(v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))) | v18(constB76) | ((~v19(constB76)) | (~v22(constB76)))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33816,plain,
% 15.70/11.81 ((~v19(constB76)) | (~v22(constB76))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33815, 33814, 33808])).
% 15.70/11.81 tff(33817,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB76) <=> (v1(constB76) | v6(constB76)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33818,plain,
% 15.70/11.81 (v22(constB76) <=> (v1(constB76) | v6(constB76))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33817, 303])).
% 15.70/11.81 tff(33819,plain,
% 15.70/11.81 ((v1(constB76) | v6(constB76)) | (~v1(constB76))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33820,plain,
% 15.70/11.81 (v1(constB76) | v6(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33819, 5002])).
% 15.70/11.81 tff(33821,plain,
% 15.70/11.81 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76) | (~(v1(constB76) | v6(constB76)))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33822,plain,
% 15.70/11.81 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33821, 33820])).
% 15.70/11.81 tff(33823,plain,
% 15.70/11.81 (v22(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33822, 33818])).
% 15.70/11.81 tff(33824,plain,
% 15.70/11.81 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76)) | (~v22(constB76))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33825,plain,
% 15.70/11.81 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33824, 33823])).
% 15.70/11.81 tff(33826,plain,
% 15.70/11.81 (~v19(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33825, 33816])).
% 15.70/11.81 tff(33827,plain,
% 15.70/11.81 ((~(v19(constB76) <=> (v20(constB76) | v21(constB76)))) | v19(constB76) | (~(v20(constB76) | v21(constB76)))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33828,plain,
% 15.70/11.81 (~(v20(constB76) | v21(constB76))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33827, 33826, 33806])).
% 15.70/11.81 tff(33829,plain,
% 15.70/11.81 ((v20(constB76) | v21(constB76)) | (~v21(constB76))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33830,plain,
% 15.70/11.81 (~v21(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33829, 33828])).
% 15.70/11.81 tff(33831,plain,
% 15.70/11.81 ((~((~v21(constB76)) <=> v6(constB76))) | v21(constB76) | v6(constB76)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33832,plain,
% 15.70/11.81 (v6(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33831, 33830, 33804])).
% 15.70/11.81 tff(33833,plain,
% 15.70/11.81 ((~(v6(constB76) <=> v13(constB76))) | (~v6(constB76)) | v13(constB76)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33834,plain,
% 15.70/11.81 (v13(constB76)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33833, 33832, 33802])).
% 15.70/11.81 tff(33835,plain,
% 15.70/11.81 ((~(v13(constB76) <=> v9(constB75))) | (~v13(constB76)) | v9(constB75)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33836,plain,
% 15.70/11.81 (v9(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33835, 33834, 33800])).
% 15.70/11.81 tff(33837,plain,
% 15.70/11.81 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB75)) <=> v1(constB75))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33838,plain,
% 15.70/11.81 ((~v39(constB75)) <=> v1(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33837, 147])).
% 15.70/11.81 tff(33839,plain,
% 15.70/11.81 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75) | v1(constB75)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33840,plain,
% 15.70/11.81 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33839, 4994])).
% 15.70/11.81 tff(33841,plain,
% 15.70/11.81 (v39(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33840, 33838])).
% 15.70/11.81 tff(33842,plain,
% 15.70/11.81 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v39(constB75)) | (~v9(constB75))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33843,plain,
% 15.70/11.81 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v9(constB75))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33842, 33841])).
% 15.70/11.81 tff(33844,plain,
% 15.70/11.81 (~((~v39(constB75)) | (~v9(constB75)))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33843, 33836])).
% 15.70/11.81 tff(33845,plain,
% 15.70/11.81 ((~(v184(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))) | v184(constB75) | ((~v39(constB75)) | (~v9(constB75)))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33846,plain,
% 15.70/11.81 (v184(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33845, 33844, 33796])).
% 15.70/11.81 tff(33847,plain,
% 15.70/11.81 ((v184(constB75) | v26(constB75)) | (~v184(constB75))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33848,plain,
% 15.70/11.81 (v184(constB75) | v26(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33847, 33846])).
% 15.70/11.81 tff(33849,plain,
% 15.70/11.81 ((~(v183(constB75) <=> (v184(constB75) | v26(constB75)))) | v183(constB75) | (~(v184(constB75) | v26(constB75)))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33850,plain,
% 15.70/11.81 (v183(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33849, 33848, 33794])).
% 15.70/11.81 tff(33851,plain,
% 15.70/11.81 ((~((~v182(constB75)) <=> v183(constB75))) | (~v182(constB75)) | (~v183(constB75))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33852,plain,
% 15.70/11.81 (~v182(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33851, 33850, 33792])).
% 15.70/11.81 tff(33853,plain,
% 15.70/11.81 (((~v182(constB75)) | (~v191(constB75))) | v182(constB75)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33854,plain,
% 15.70/11.81 ((~v182(constB75)) | (~v191(constB75))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33853, 33852])).
% 15.70/11.81 tff(33855,plain,
% 15.70/11.81 ((~(v197(constB75) <=> (~((~v182(constB75)) | (~v191(constB75)))))) | (~v197(constB75)) | (~((~v182(constB75)) | (~v191(constB75))))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33856,plain,
% 15.70/11.81 (~v197(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33855, 33854, 33790])).
% 15.70/11.81 tff(33857,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB75) <=> (~((~v158(constB75)) | (~v199(constB75)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33858,plain,
% 15.70/11.81 (v198(constB75) <=> (~((~v158(constB75)) | (~v199(constB75))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33857, 102])).
% 15.70/11.81 tff(33859,plain,
% 15.70/11.81 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB75) <=> v180(constB75))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33860,plain,
% 15.70/11.81 (v158(constB75) <=> v180(constB75)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33859, 358])).
% 15.70/11.81 tff(33861,plain,
% 15.70/11.81 (((~![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)))),
% 15.70/11.81 inference(rewrite,[status(thm)],[])).
% 15.70/11.81 tff(33862,plain,
% 15.70/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33863,plain,
% 15.70/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74))),
% 15.70/11.81 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 15.70/11.81 tff(33864,plain,
% 15.70/11.81 (v180(constB75) <=> v178(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33863, 5037, 370])).
% 15.70/11.81 tff(33865,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB74) <=> (v181(constB74) | v185(constB74)))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33866,plain,
% 15.70/11.81 (v178(constB74) <=> (v181(constB74) | v185(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33865, 384])).
% 15.70/11.81 tff(33867,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33868,plain,
% 15.70/11.81 (v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33867, 396])).
% 15.70/11.81 tff(33869,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB74) <=> (~((~v184(constB74)) | (~v160(constB74)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33870,plain,
% 15.70/11.81 (v187(constB74) <=> (~((~v184(constB74)) | (~v160(constB74))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33869, 408])).
% 15.70/11.81 tff(33871,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33872,plain,
% 15.70/11.81 (v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33871, 138])).
% 15.70/11.81 tff(33873,plain,
% 15.70/11.81 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB74)) <=> v1(constB74))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33874,plain,
% 15.70/11.81 ((~v39(constB74)) <=> v1(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33873, 147])).
% 15.70/11.81 tff(33875,plain,
% 15.70/11.81 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74)) | (~v1(constB74))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33876,plain,
% 15.70/11.81 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33875, 5099])).
% 15.70/11.81 tff(33877,plain,
% 15.70/11.81 (~v39(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33876, 33874])).
% 15.70/11.81 tff(33878,plain,
% 15.70/11.81 (((~v39(constB74)) | (~v9(constB74))) | v39(constB74)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33879,plain,
% 15.70/11.81 ((~v39(constB74)) | (~v9(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33878, 33877])).
% 15.70/11.81 tff(33880,plain,
% 15.70/11.81 ((~(v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v184(constB74)) | (~((~v39(constB74)) | (~v9(constB74))))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33881,plain,
% 15.70/11.81 ((~(v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v184(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33880, 33879])).
% 15.70/11.81 tff(33882,plain,
% 15.70/11.81 (~v184(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33881, 33872])).
% 15.70/11.81 tff(33883,plain,
% 15.70/11.81 (((~v184(constB74)) | (~v160(constB74))) | v184(constB74)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33884,plain,
% 15.70/11.81 ((~v184(constB74)) | (~v160(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33883, 33882])).
% 15.70/11.81 tff(33885,plain,
% 15.70/11.81 ((~(v187(constB74) <=> (~((~v184(constB74)) | (~v160(constB74)))))) | (~v187(constB74)) | (~((~v184(constB74)) | (~v160(constB74))))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33886,plain,
% 15.70/11.81 ((~(v187(constB74) <=> (~((~v184(constB74)) | (~v160(constB74)))))) | (~v187(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33885, 33884])).
% 15.70/11.81 tff(33887,plain,
% 15.70/11.81 (~v187(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33886, 33870])).
% 15.70/11.81 tff(33888,plain,
% 15.70/11.81 (((~v186(constB74)) | (~v187(constB74))) | v187(constB74)),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33889,plain,
% 15.70/11.81 ((~v186(constB74)) | (~v187(constB74))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33888, 33887])).
% 15.70/11.81 tff(33890,plain,
% 15.70/11.81 ((~(v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74)))))) | (~v185(constB74)) | (~((~v186(constB74)) | (~v187(constB74))))),
% 15.70/11.81 inference(tautology,[status(thm)],[])).
% 15.70/11.81 tff(33891,plain,
% 15.70/11.81 (~v185(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33890, 33889, 33868])).
% 15.70/11.81 tff(33892,plain,
% 15.70/11.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74))))))),
% 15.70/11.81 inference(rewrite,[status(thm)],[])).
% 15.70/11.81 tff(33893,plain,
% 15.70/11.81 ((v181(constB74) <=> (~((~v182(constB74)) | (~v158(constB74))))) <=> (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74)))))),
% 15.70/11.81 inference(rewrite,[status(thm)],[])).
% 15.70/11.81 tff(33894,plain,
% 15.70/11.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v158(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74))))))),
% 15.70/11.81 inference(monotonicity,[status(thm)],[33893])).
% 15.70/11.81 tff(33895,plain,
% 15.70/11.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v158(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74))))))),
% 15.70/11.81 inference(transitivity,[status(thm)],[33894, 33892])).
% 15.70/11.81 tff(33896,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v158(constB74)))))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33897,plain,
% 15.70/11.81 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74)))))),
% 15.70/11.81 inference(modus_ponens,[status(thm)],[33896, 33895])).
% 15.70/11.81 tff(33898,plain,
% 15.70/11.81 (v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74))))),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33897, 444])).
% 15.70/11.81 tff(33899,plain,
% 15.70/11.81 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB74) <=> v180(constB74))),
% 15.70/11.81 inference(quant_inst,[status(thm)],[])).
% 15.70/11.81 tff(33900,plain,
% 15.70/11.81 (v158(constB74) <=> v180(constB74)),
% 15.70/11.81 inference(unit_resolution,[status(thm)],[33899, 358])).
% 15.70/11.81 tff(33901,plain,
% 15.70/11.81 (((~![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)))),
% 15.70/11.81 inference(rewrite,[status(thm)],[])).
% 15.70/11.81 tff(33902,plain,
% 15.70/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33903,plain,
% 15.70/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73))),
% 15.70/11.82 inference(modus_ponens,[status(thm)],[33902, 33901])).
% 15.70/11.82 tff(33904,plain,
% 15.70/11.82 (v180(constB74) <=> v178(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33903, 5069, 370])).
% 15.70/11.82 tff(33905,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB73) <=> (v181(constB73) | v185(constB73)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33906,plain,
% 15.70/11.82 (v178(constB73) <=> (v181(constB73) | v185(constB73))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33905, 384])).
% 15.70/11.82 tff(33907,plain,
% 15.70/11.82 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73))))))),
% 15.70/11.82 inference(rewrite,[status(thm)],[])).
% 15.70/11.82 tff(33908,plain,
% 15.70/11.82 ((v181(constB73) <=> (~((~v182(constB73)) | (~v158(constB73))))) <=> (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73)))))),
% 15.70/11.82 inference(rewrite,[status(thm)],[])).
% 15.70/11.82 tff(33909,plain,
% 15.70/11.82 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v158(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73))))))),
% 15.70/11.82 inference(monotonicity,[status(thm)],[33908])).
% 15.70/11.82 tff(33910,plain,
% 15.70/11.82 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v158(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73))))))),
% 15.70/11.82 inference(transitivity,[status(thm)],[33909, 33907])).
% 15.70/11.82 tff(33911,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v158(constB73)))))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33912,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73)))))),
% 15.70/11.82 inference(modus_ponens,[status(thm)],[33911, 33910])).
% 15.70/11.82 tff(33913,plain,
% 15.70/11.82 (v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73))))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33912, 444])).
% 15.70/11.82 tff(33914,plain,
% 15.70/11.82 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB73)) <=> v183(constB73))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33915,plain,
% 15.70/11.82 ((~v182(constB73)) <=> v183(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33914, 205])).
% 15.70/11.82 tff(33916,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB73) <=> (v184(constB73) | v26(constB73)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33917,plain,
% 15.70/11.82 (v183(constB73) <=> (v184(constB73) | v26(constB73))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33916, 214])).
% 15.70/11.82 tff(33918,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33919,plain,
% 15.70/11.82 (v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73))))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33918, 138])).
% 15.70/11.82 tff(33920,plain,
% 15.70/11.82 (((~![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)))),
% 15.70/11.82 inference(rewrite,[status(thm)],[])).
% 15.70/11.82 tff(33921,plain,
% 15.70/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33922,plain,
% 15.70/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73))),
% 15.70/11.82 inference(modus_ponens,[status(thm)],[33921, 33920])).
% 15.70/11.82 tff(33923,plain,
% 15.70/11.82 (v13(constB74) <=> v9(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33922, 5069, 228])).
% 15.70/11.82 tff(33924,plain,
% 15.70/11.82 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB74) <=> v13(constB74))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33925,plain,
% 15.70/11.82 (v6(constB74) <=> v13(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33924, 242])).
% 15.70/11.82 tff(33926,plain,
% 15.70/11.82 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB74)) <=> v6(constB74))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33927,plain,
% 15.70/11.82 ((~v21(constB74)) <=> v6(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33926, 251])).
% 15.70/11.82 tff(33928,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB74) <=> (v20(constB74) | v21(constB74)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33929,plain,
% 15.70/11.82 (v19(constB74) <=> (v20(constB74) | v21(constB74))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33928, 260])).
% 15.70/11.82 tff(33930,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33931,plain,
% 15.70/11.82 (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74))))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33930, 272])).
% 15.70/11.82 tff(33932,plain,
% 15.70/11.82 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB74)) <=> v18(constB74))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33933,plain,
% 15.70/11.82 ((~v4(constB74)) <=> v18(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33932, 281])).
% 15.70/11.82 tff(33934,plain,
% 15.70/11.82 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB74)),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33935,plain,
% 15.70/11.82 (v4(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33934, 290])).
% 15.70/11.82 tff(33936,plain,
% 15.70/11.82 ((~((~v4(constB74)) <=> v18(constB74))) | (~v4(constB74)) | (~v18(constB74))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33937,plain,
% 15.70/11.82 (~v18(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33936, 33935, 33933])).
% 15.70/11.82 tff(33938,plain,
% 15.70/11.82 ((~(v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))) | v18(constB74) | ((~v19(constB74)) | (~v22(constB74)))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33939,plain,
% 15.70/11.82 ((~v19(constB74)) | (~v22(constB74))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33938, 33937, 33931])).
% 15.70/11.82 tff(33940,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB74) <=> (v1(constB74) | v6(constB74)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33941,plain,
% 15.70/11.82 (v22(constB74) <=> (v1(constB74) | v6(constB74))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33940, 303])).
% 15.70/11.82 tff(33942,plain,
% 15.70/11.82 ((v1(constB74) | v6(constB74)) | (~v1(constB74))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33943,plain,
% 15.70/11.82 (v1(constB74) | v6(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33942, 5099])).
% 15.70/11.82 tff(33944,plain,
% 15.70/11.82 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74) | (~(v1(constB74) | v6(constB74)))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33945,plain,
% 15.70/11.82 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33944, 33943])).
% 15.70/11.82 tff(33946,plain,
% 15.70/11.82 (v22(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33945, 33941])).
% 15.70/11.82 tff(33947,plain,
% 15.70/11.82 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74)) | (~v22(constB74))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33948,plain,
% 15.70/11.82 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33947, 33946])).
% 15.70/11.82 tff(33949,plain,
% 15.70/11.82 (~v19(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33948, 33939])).
% 15.70/11.82 tff(33950,plain,
% 15.70/11.82 ((~(v19(constB74) <=> (v20(constB74) | v21(constB74)))) | v19(constB74) | (~(v20(constB74) | v21(constB74)))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33951,plain,
% 15.70/11.82 (~(v20(constB74) | v21(constB74))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33950, 33949, 33929])).
% 15.70/11.82 tff(33952,plain,
% 15.70/11.82 ((v20(constB74) | v21(constB74)) | (~v21(constB74))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33953,plain,
% 15.70/11.82 (~v21(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33952, 33951])).
% 15.70/11.82 tff(33954,plain,
% 15.70/11.82 ((~((~v21(constB74)) <=> v6(constB74))) | v21(constB74) | v6(constB74)),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33955,plain,
% 15.70/11.82 (v6(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33954, 33953, 33927])).
% 15.70/11.82 tff(33956,plain,
% 15.70/11.82 ((~(v6(constB74) <=> v13(constB74))) | (~v6(constB74)) | v13(constB74)),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33957,plain,
% 15.70/11.82 (v13(constB74)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33956, 33955, 33925])).
% 15.70/11.82 tff(33958,plain,
% 15.70/11.82 ((~(v13(constB74) <=> v9(constB73))) | (~v13(constB74)) | v9(constB73)),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33959,plain,
% 15.70/11.82 (v9(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33958, 33957, 33923])).
% 15.70/11.82 tff(33960,plain,
% 15.70/11.82 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB73)) <=> v1(constB73))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33961,plain,
% 15.70/11.82 ((~v39(constB73)) <=> v1(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33960, 147])).
% 15.70/11.82 tff(33962,plain,
% 15.70/11.82 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73) | v1(constB73)),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33963,plain,
% 15.70/11.82 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33962, 5091])).
% 15.70/11.82 tff(33964,plain,
% 15.70/11.82 (v39(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33963, 33961])).
% 15.70/11.82 tff(33965,plain,
% 15.70/11.82 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v39(constB73)) | (~v9(constB73))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33966,plain,
% 15.70/11.82 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v9(constB73))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33965, 33964])).
% 15.70/11.82 tff(33967,plain,
% 15.70/11.82 (~((~v39(constB73)) | (~v9(constB73)))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33966, 33959])).
% 15.70/11.82 tff(33968,plain,
% 15.70/11.82 ((~(v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))) | v184(constB73) | ((~v39(constB73)) | (~v9(constB73)))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33969,plain,
% 15.70/11.82 (v184(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33968, 33967, 33919])).
% 15.70/11.82 tff(33970,plain,
% 15.70/11.82 ((v184(constB73) | v26(constB73)) | (~v184(constB73))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33971,plain,
% 15.70/11.82 (v184(constB73) | v26(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33970, 33969])).
% 15.70/11.82 tff(33972,plain,
% 15.70/11.82 ((~(v183(constB73) <=> (v184(constB73) | v26(constB73)))) | v183(constB73) | (~(v184(constB73) | v26(constB73)))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33973,plain,
% 15.70/11.82 (v183(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33972, 33971, 33917])).
% 15.70/11.82 tff(33974,plain,
% 15.70/11.82 ((~((~v182(constB73)) <=> v183(constB73))) | (~v182(constB73)) | (~v183(constB73))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33975,plain,
% 15.70/11.82 (~v182(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33974, 33973, 33915])).
% 15.70/11.82 tff(33976,plain,
% 15.70/11.82 (((~v158(constB73)) | (~v182(constB73))) | v182(constB73)),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33977,plain,
% 15.70/11.82 ((~v158(constB73)) | (~v182(constB73))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33976, 33975])).
% 15.70/11.82 tff(33978,plain,
% 15.70/11.82 ((~(v181(constB73) <=> (~((~v158(constB73)) | (~v182(constB73)))))) | (~v181(constB73)) | (~((~v158(constB73)) | (~v182(constB73))))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33979,plain,
% 15.70/11.82 (~v181(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33978, 33977, 33913])).
% 15.70/11.82 tff(33980,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73)))))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33981,plain,
% 15.70/11.82 (v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73))))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33980, 396])).
% 15.70/11.82 tff(33982,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB73) <=> (~((~v184(constB73)) | (~v160(constB73)))))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33983,plain,
% 15.70/11.82 (v187(constB73) <=> (~((~v184(constB73)) | (~v160(constB73))))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33982, 408])).
% 15.70/11.82 tff(33984,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB73) <=> v162(constB73))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33985,plain,
% 15.70/11.82 (v160(constB73) <=> v162(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33984, 549])).
% 15.70/11.82 tff(33986,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB73) <=> (~(v88(constB73, bitIndex2) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex0)))))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33987,plain,
% 15.70/11.82 (v141(constB73) <=> (~(v88(constB73, bitIndex2) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex0))))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33986, 564])).
% 15.70/11.82 tff(33988,plain,
% 15.70/11.82 (((~![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)))),
% 15.70/11.82 inference(rewrite,[status(thm)],[])).
% 15.70/11.82 tff(33989,plain,
% 15.70/11.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33990,plain,
% 15.70/11.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2))),
% 15.70/11.82 inference(modus_ponens,[status(thm)],[33989, 33988])).
% 15.70/11.82 tff(33991,plain,
% 15.70/11.82 (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33990, 579, 576])).
% 15.70/11.82 tff(33992,plain,
% 15.70/11.82 ((~(v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2))) | v88(constB73, bitIndex2) | (~v90(constB73, bitIndex2))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33993,plain,
% 15.70/11.82 (v88(constB73, bitIndex2)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33992, 12703, 33991])).
% 15.70/11.82 tff(33994,plain,
% 15.70/11.82 ((v88(constB73, bitIndex2) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex0))) | (~v88(constB73, bitIndex2))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33995,plain,
% 15.70/11.82 (v88(constB73, bitIndex2) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex0))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33994, 33993])).
% 15.70/11.82 tff(33996,plain,
% 15.70/11.82 ((~(v141(constB73) <=> (~(v88(constB73, bitIndex2) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex0)))))) | (~v141(constB73)) | (~(v88(constB73, bitIndex2) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex0))))),
% 15.70/11.82 inference(tautology,[status(thm)],[])).
% 15.70/11.82 tff(33997,plain,
% 15.70/11.82 (~v141(constB73)),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33996, 33995, 33987])).
% 15.70/11.82 tff(33998,plain,
% 15.70/11.82 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB73) <=> (v139(constB73) | v140(constB73)))),
% 15.70/11.82 inference(quant_inst,[status(thm)],[])).
% 15.70/11.82 tff(33999,plain,
% 15.70/11.82 (v170(constB73) <=> (v139(constB73) | v140(constB73))),
% 15.70/11.82 inference(unit_resolution,[status(thm)],[33998, 2216])).
% 15.70/11.83 tff(34000,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2))))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34001,plain,
% 15.70/11.83 (v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34000, 2231])).
% 15.70/11.83 tff(34002,plain,
% 15.70/11.83 ((v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex2))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34003,plain,
% 15.70/11.83 (v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34002, 33993])).
% 15.70/11.83 tff(34004,plain,
% 15.70/11.83 ((~(v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2))))) | (~v139(constB73)) | (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34005,plain,
% 15.70/11.83 (~v139(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34004, 34003, 34001])).
% 15.70/11.83 tff(34006,plain,
% 15.70/11.83 (((~![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))))))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34007,plain,
% 15.70/11.83 ((v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0))))) <=> (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34008,plain,
% 15.70/11.83 (((~![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))))))),
% 15.70/11.83 inference(monotonicity,[status(thm)],[34007])).
% 15.70/11.83 tff(34009,plain,
% 15.70/11.83 (((~![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))))))),
% 15.70/11.83 inference(transitivity,[status(thm)],[34008, 34006])).
% 15.70/11.83 tff(34010,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0)))))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34011,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))),
% 15.70/11.83 inference(modus_ponens,[status(thm)],[34010, 34009])).
% 15.70/11.83 tff(34012,plain,
% 15.70/11.83 (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34011, 2250])).
% 15.70/11.83 tff(34013,plain,
% 15.70/11.83 ((v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))) | (~v88(constB73, bitIndex2))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34014,plain,
% 15.70/11.83 (v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34013, 33993])).
% 15.70/11.83 tff(34015,plain,
% 15.70/11.83 ((~(v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))) | (~v140(constB73)) | (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34016,plain,
% 15.70/11.83 (~v140(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34015, 34014, 34012])).
% 15.70/11.83 tff(34017,plain,
% 15.70/11.83 ((~(v139(constB73) | v140(constB73))) | v139(constB73) | v140(constB73)),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34018,plain,
% 15.70/11.83 (~(v139(constB73) | v140(constB73))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34017, 34016, 34005])).
% 15.70/11.83 tff(34019,plain,
% 15.70/11.83 ((~(v170(constB73) <=> (v139(constB73) | v140(constB73)))) | (~v170(constB73)) | (v139(constB73) | v140(constB73))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34020,plain,
% 15.70/11.83 (~v170(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34019, 34018, 33999])).
% 15.70/11.83 tff(34021,plain,
% 15.70/11.83 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB73) | v170(constB73) | (~v169(constB73)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB73) | v170(constB73) | (~v169(constB73)))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34022,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB73) | v170(constB73) | (~v169(constB73)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34023,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB73) | v170(constB73) | (~v169(constB73))),
% 15.70/11.83 inference(modus_ponens,[status(thm)],[34022, 34021])).
% 15.70/11.83 tff(34024,plain,
% 15.70/11.83 (v141(constB73) | v170(constB73) | (~v169(constB73))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34023, 2278])).
% 15.70/11.83 tff(34025,plain,
% 15.70/11.83 (~v169(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34024, 34020, 33997])).
% 15.70/11.83 tff(34026,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB73) <=> (v145(constB73) | v166(constB73)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34027,plain,
% 15.70/11.83 (v165(constB73) <=> (v145(constB73) | v166(constB73))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34026, 2293])).
% 15.70/11.83 tff(34028,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB73) <=> (v142(constB73) | v167(constB73)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34029,plain,
% 15.70/11.83 (v166(constB73) <=> (v142(constB73) | v167(constB73))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34028, 2804])).
% 15.70/11.83 tff(34030,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB73) <=> (v143(constB73) | v144(constB73)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34031,plain,
% 15.70/11.83 (v142(constB73) <=> (v143(constB73) | v144(constB73))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34030, 2813])).
% 15.70/11.83 tff(34032,plain,
% 15.70/11.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))))))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34033,plain,
% 15.70/11.83 ((v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2))))) <=> (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34034,plain,
% 15.70/11.83 (((~![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, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))))))),
% 15.70/11.83 inference(monotonicity,[status(thm)],[34033])).
% 15.70/11.83 tff(34035,plain,
% 15.70/11.83 (((~![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, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))))))),
% 15.70/11.83 inference(transitivity,[status(thm)],[34034, 34032])).
% 15.70/11.83 tff(34036,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34037,plain,
% 15.70/11.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))))),
% 15.70/11.83 inference(modus_ponens,[status(thm)],[34036, 34035])).
% 15.70/11.83 tff(34038,plain,
% 15.70/11.83 (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34037, 2828])).
% 15.70/11.83 tff(34039,plain,
% 15.70/11.83 (((~![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)))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34040,plain,
% 15.70/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34041,plain,
% 15.70/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0))),
% 15.70/11.83 inference(modus_ponens,[status(thm)],[34040, 34039])).
% 15.70/11.83 tff(34042,plain,
% 15.70/11.83 (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34041, 1275, 576])).
% 15.70/11.83 tff(34043,plain,
% 15.70/11.83 ((~(v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0))) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0)),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34044,plain,
% 15.70/11.83 (~v88(constB73, bitIndex0)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34043, 12734, 34042])).
% 15.70/11.83 tff(34045,plain,
% 15.70/11.83 (((~![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)))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34046,plain,
% 15.70/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34047,plain,
% 15.70/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1))),
% 15.70/11.83 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 15.70/11.83 tff(34048,plain,
% 15.70/11.83 (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34047, 1288, 576])).
% 15.70/11.83 tff(34049,plain,
% 15.70/11.83 ((~(v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1))) | v88(constB73, bitIndex1) | (~v90(constB73, bitIndex1))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34050,plain,
% 15.70/11.83 (v88(constB73, bitIndex1)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34049, 12765, 34048])).
% 15.70/11.83 tff(34051,plain,
% 15.70/11.83 ((~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34052,plain,
% 15.70/11.83 (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34051, 34050, 34044, 33993])).
% 15.70/11.83 tff(34053,plain,
% 15.70/11.83 ((~(v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))))) | v144(constB73) | (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34054,plain,
% 15.70/11.83 (v144(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34053, 34052, 34038])).
% 15.70/11.83 tff(34055,plain,
% 15.70/11.83 ((v143(constB73) | v144(constB73)) | (~v144(constB73))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34056,plain,
% 15.70/11.83 (v143(constB73) | v144(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34055, 34054])).
% 15.70/11.83 tff(34057,plain,
% 15.70/11.83 ((~(v142(constB73) <=> (v143(constB73) | v144(constB73)))) | v142(constB73) | (~(v143(constB73) | v144(constB73)))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34058,plain,
% 15.70/11.83 (v142(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34057, 34056, 34031])).
% 15.70/11.83 tff(34059,plain,
% 15.70/11.83 ((v142(constB73) | v167(constB73)) | (~v142(constB73))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34060,plain,
% 15.70/11.83 (v142(constB73) | v167(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34059, 34058])).
% 15.70/11.83 tff(34061,plain,
% 15.70/11.83 ((~(v166(constB73) <=> (v142(constB73) | v167(constB73)))) | v166(constB73) | (~(v142(constB73) | v167(constB73)))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34062,plain,
% 15.70/11.83 (v166(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34061, 34060, 34029])).
% 15.70/11.83 tff(34063,plain,
% 15.70/11.83 ((v145(constB73) | v166(constB73)) | (~v166(constB73))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34064,plain,
% 15.70/11.83 (v145(constB73) | v166(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34063, 34062])).
% 15.70/11.83 tff(34065,plain,
% 15.70/11.83 ((~(v165(constB73) <=> (v145(constB73) | v166(constB73)))) | v165(constB73) | (~(v145(constB73) | v166(constB73)))),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34066,plain,
% 15.70/11.83 (v165(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34065, 34064, 34027])).
% 15.70/11.83 tff(34067,plain,
% 15.70/11.83 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB73)) | (v162(constB73) <=> v169(constB73)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB73)) | (v162(constB73) <=> v169(constB73)))),
% 15.70/11.83 inference(rewrite,[status(thm)],[])).
% 15.70/11.83 tff(34068,plain,
% 15.70/11.83 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB73)) | (v162(constB73) <=> v169(constB73)))),
% 15.70/11.83 inference(quant_inst,[status(thm)],[])).
% 15.70/11.83 tff(34069,plain,
% 15.70/11.83 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB73)) | (v162(constB73) <=> v169(constB73))),
% 15.70/11.83 inference(modus_ponens,[status(thm)],[34068, 34067])).
% 15.70/11.83 tff(34070,plain,
% 15.70/11.83 ((~v165(constB73)) | (v162(constB73) <=> v169(constB73))),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34069, 2426])).
% 15.70/11.83 tff(34071,plain,
% 15.70/11.83 (v162(constB73) <=> v169(constB73)),
% 15.70/11.83 inference(unit_resolution,[status(thm)],[34070, 34066])).
% 15.70/11.83 tff(34072,plain,
% 15.70/11.83 ((~(v162(constB73) <=> v169(constB73))) | (~v162(constB73)) | v169(constB73)),
% 15.70/11.83 inference(tautology,[status(thm)],[])).
% 15.70/11.83 tff(34073,plain,
% 15.70/11.83 (~v162(constB73)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34072, 34071, 34025])).
% 15.70/11.84 tff(34074,plain,
% 15.70/11.84 ((~(v160(constB73) <=> v162(constB73))) | (~v160(constB73)) | v162(constB73)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34075,plain,
% 15.70/11.84 ((~(v160(constB73) <=> v162(constB73))) | (~v160(constB73))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34074, 34073])).
% 15.70/11.84 tff(34076,plain,
% 15.70/11.84 (~v160(constB73)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34075, 33985])).
% 15.70/11.84 tff(34077,plain,
% 15.70/11.84 (((~v184(constB73)) | (~v160(constB73))) | v160(constB73)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34078,plain,
% 15.70/11.84 ((~v184(constB73)) | (~v160(constB73))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34077, 34076])).
% 15.70/11.84 tff(34079,plain,
% 15.70/11.84 ((~(v187(constB73) <=> (~((~v184(constB73)) | (~v160(constB73)))))) | (~v187(constB73)) | (~((~v184(constB73)) | (~v160(constB73))))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34080,plain,
% 15.70/11.84 (~v187(constB73)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34079, 34078, 33983])).
% 15.70/11.84 tff(34081,plain,
% 15.70/11.84 (((~v186(constB73)) | (~v187(constB73))) | v187(constB73)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34082,plain,
% 15.70/11.84 ((~v186(constB73)) | (~v187(constB73))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34081, 34080])).
% 15.70/11.84 tff(34083,plain,
% 15.70/11.84 ((~(v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73)))))) | (~v185(constB73)) | (~((~v186(constB73)) | (~v187(constB73))))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34084,plain,
% 15.70/11.84 (~v185(constB73)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34083, 34082, 33981])).
% 15.70/11.84 tff(34085,plain,
% 15.70/11.84 ((~(v181(constB73) | v185(constB73))) | v181(constB73) | v185(constB73)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34086,plain,
% 15.70/11.84 (~(v181(constB73) | v185(constB73))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34085, 34084, 33979])).
% 15.70/11.84 tff(34087,plain,
% 15.70/11.84 ((~(v178(constB73) <=> (v181(constB73) | v185(constB73)))) | (~v178(constB73)) | (v181(constB73) | v185(constB73))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34088,plain,
% 15.70/11.84 (~v178(constB73)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34087, 34086, 33906])).
% 15.70/11.84 tff(34089,plain,
% 15.70/11.84 ((~(v180(constB74) <=> v178(constB73))) | (~v180(constB74)) | v178(constB73)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34090,plain,
% 15.70/11.84 (~v180(constB74)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34089, 34088, 33904])).
% 15.70/11.84 tff(34091,plain,
% 15.70/11.84 ((~(v158(constB74) <=> v180(constB74))) | (~v158(constB74)) | v180(constB74)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34092,plain,
% 15.70/11.84 (~v158(constB74)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34091, 34090, 33900])).
% 15.70/11.84 tff(34093,plain,
% 15.70/11.84 (((~v158(constB74)) | (~v182(constB74))) | v158(constB74)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34094,plain,
% 15.70/11.84 ((~v158(constB74)) | (~v182(constB74))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34093, 34092])).
% 15.70/11.84 tff(34095,plain,
% 15.70/11.84 ((~(v181(constB74) <=> (~((~v158(constB74)) | (~v182(constB74)))))) | (~v181(constB74)) | (~((~v158(constB74)) | (~v182(constB74))))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34096,plain,
% 15.70/11.84 (~v181(constB74)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34095, 34094, 33898])).
% 15.70/11.84 tff(34097,plain,
% 15.70/11.84 ((~(v181(constB74) | v185(constB74))) | v181(constB74) | v185(constB74)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34098,plain,
% 15.70/11.84 (~(v181(constB74) | v185(constB74))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34097, 34096, 33891])).
% 15.70/11.84 tff(34099,plain,
% 15.70/11.84 ((~(v178(constB74) <=> (v181(constB74) | v185(constB74)))) | (~v178(constB74)) | (v181(constB74) | v185(constB74))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34100,plain,
% 15.70/11.84 (~v178(constB74)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34099, 34098, 33866])).
% 15.70/11.84 tff(34101,plain,
% 15.70/11.84 ((~(v180(constB75) <=> v178(constB74))) | (~v180(constB75)) | v178(constB74)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34102,plain,
% 15.70/11.84 (~v180(constB75)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34101, 34100, 33864])).
% 15.70/11.84 tff(34103,plain,
% 15.70/11.84 ((~(v158(constB75) <=> v180(constB75))) | (~v158(constB75)) | v180(constB75)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34104,plain,
% 15.70/11.84 (~v158(constB75)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34103, 34102, 33860])).
% 15.70/11.84 tff(34105,plain,
% 15.70/11.84 (((~v158(constB75)) | (~v199(constB75))) | v158(constB75)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34106,plain,
% 15.70/11.84 ((~v158(constB75)) | (~v199(constB75))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34105, 34104])).
% 15.70/11.84 tff(34107,plain,
% 15.70/11.84 ((~(v198(constB75) <=> (~((~v158(constB75)) | (~v199(constB75)))))) | (~v198(constB75)) | (~((~v158(constB75)) | (~v199(constB75))))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34108,plain,
% 15.70/11.84 (~v198(constB75)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34107, 34106, 33858])).
% 15.70/11.84 tff(34109,plain,
% 15.70/11.84 ((~(v197(constB75) | v198(constB75))) | v197(constB75) | v198(constB75)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34110,plain,
% 15.70/11.84 (~(v197(constB75) | v198(constB75))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34109, 34108, 33856])).
% 15.70/11.84 tff(34111,plain,
% 15.70/11.84 ((~(v194(constB75) <=> (v197(constB75) | v198(constB75)))) | (~v194(constB75)) | (v197(constB75) | v198(constB75))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34112,plain,
% 15.70/11.84 (~v194(constB75)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34111, 34110, 33788])).
% 15.70/11.84 tff(34113,plain,
% 15.70/11.84 ((~(v196(constB76) <=> v194(constB75))) | (~v196(constB76)) | v194(constB75)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34114,plain,
% 15.70/11.84 (~v196(constB76)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34113, 34112, 33786])).
% 15.70/11.84 tff(34115,plain,
% 15.70/11.84 ((~(v191(constB76) <=> v196(constB76))) | (~v191(constB76)) | v196(constB76)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34116,plain,
% 15.70/11.84 (~v191(constB76)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34115, 34114, 33782])).
% 15.70/11.84 tff(34117,plain,
% 15.70/11.84 (((~v182(constB76)) | (~v191(constB76))) | v191(constB76)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34118,plain,
% 15.70/11.84 ((~v182(constB76)) | (~v191(constB76))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34117, 34116])).
% 15.70/11.84 tff(34119,plain,
% 15.70/11.84 ((~(v197(constB76) <=> (~((~v182(constB76)) | (~v191(constB76)))))) | (~v197(constB76)) | (~((~v182(constB76)) | (~v191(constB76))))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34120,plain,
% 15.70/11.84 (~v197(constB76)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34119, 34118, 33780])).
% 15.70/11.84 tff(34121,plain,
% 15.70/11.84 ((~(v197(constB76) | v198(constB76))) | v197(constB76) | v198(constB76)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34122,plain,
% 15.70/11.84 (~(v197(constB76) | v198(constB76))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34121, 34120, 33778])).
% 15.70/11.84 tff(34123,plain,
% 15.70/11.84 ((~(v194(constB76) <=> (v197(constB76) | v198(constB76)))) | (~v194(constB76)) | (v197(constB76) | v198(constB76))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34124,plain,
% 15.70/11.84 (~v194(constB76)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34123, 34122, 33747])).
% 15.70/11.84 tff(34125,plain,
% 15.70/11.84 ((~(v196(constB77) <=> v194(constB76))) | (~v196(constB77)) | v194(constB76)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34126,plain,
% 15.70/11.84 (~v196(constB77)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34125, 34124, 33745])).
% 15.70/11.84 tff(34127,plain,
% 15.70/11.84 ((~(v191(constB77) <=> v196(constB77))) | (~v191(constB77)) | v196(constB77)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34128,plain,
% 15.70/11.84 (~v191(constB77)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34127, 34126, 33741])).
% 15.70/11.84 tff(34129,plain,
% 15.70/11.84 (((~v191(constB77)) | (~v206(constB77))) | v191(constB77)),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34130,plain,
% 15.70/11.84 ((~v191(constB77)) | (~v206(constB77))),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34129, 34128])).
% 15.70/11.84 tff(34131,plain,
% 15.70/11.84 ((~(v209(constB77) <=> (~((~v191(constB77)) | (~v206(constB77)))))) | (~v209(constB77)) | (~((~v191(constB77)) | (~v206(constB77))))),
% 15.70/11.84 inference(tautology,[status(thm)],[])).
% 15.70/11.84 tff(34132,plain,
% 15.70/11.84 (~v209(constB77)),
% 15.70/11.84 inference(unit_resolution,[status(thm)],[34131, 34130, 33739])).
% 15.70/11.84 tff(34133,plain,
% 15.70/11.84 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77))))))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34134,plain,
% 15.78/11.84 ((v205(constB77) <=> (~((~v206(constB77)) | (~v158(constB77))))) <=> (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77)))))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34135,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v206(constB77)) | (~v158(constB77)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77))))))),
% 15.78/11.84 inference(monotonicity,[status(thm)],[34134])).
% 15.78/11.84 tff(34136,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v206(constB77)) | (~v158(constB77)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77))))))),
% 15.78/11.84 inference(transitivity,[status(thm)],[34135, 34133])).
% 15.78/11.84 tff(34137,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v206(constB77)) | (~v158(constB77)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34138,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77)))))),
% 15.78/11.84 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 15.78/11.84 tff(34139,plain,
% 15.78/11.84 (v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34138, 2502])).
% 15.78/11.84 tff(34140,plain,
% 15.78/11.84 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB77) <=> v180(constB77))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34141,plain,
% 15.78/11.84 (v158(constB77) <=> v180(constB77)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34140, 358])).
% 15.78/11.84 tff(34142,plain,
% 15.78/11.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB76, constB77)) | (v180(constB77) <=> v178(constB76)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB76, constB77)) | (v180(constB77) <=> v178(constB76)))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34143,plain,
% 15.78/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB76, constB77)) | (v180(constB77) <=> v178(constB76)))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34144,plain,
% 15.78/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB76, constB77)) | (v180(constB77) <=> v178(constB76))),
% 15.78/11.84 inference(modus_ponens,[status(thm)],[34143, 34142])).
% 15.78/11.84 tff(34145,plain,
% 15.78/11.84 (v180(constB77) <=> v178(constB76)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34144, 4940, 370])).
% 15.78/11.84 tff(34146,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB76) <=> (v181(constB76) | v185(constB76)))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34147,plain,
% 15.78/11.84 (v178(constB76) <=> (v181(constB76) | v185(constB76))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34146, 384])).
% 15.78/11.84 tff(34148,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB76) <=> (~((~v186(constB76)) | (~v187(constB76)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34149,plain,
% 15.78/11.84 (v185(constB76) <=> (~((~v186(constB76)) | (~v187(constB76))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34148, 396])).
% 15.78/11.84 tff(34150,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB76) <=> (~((~v184(constB76)) | (~v160(constB76)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34151,plain,
% 15.78/11.84 (v187(constB76) <=> (~((~v184(constB76)) | (~v160(constB76))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34150, 408])).
% 15.78/11.84 tff(34152,plain,
% 15.78/11.84 (((~v184(constB76)) | (~v160(constB76))) | v184(constB76)),
% 15.78/11.84 inference(tautology,[status(thm)],[])).
% 15.78/11.84 tff(34153,plain,
% 15.78/11.84 ((~v184(constB76)) | (~v160(constB76))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34152, 33765])).
% 15.78/11.84 tff(34154,plain,
% 15.78/11.84 ((~(v187(constB76) <=> (~((~v184(constB76)) | (~v160(constB76)))))) | (~v187(constB76)) | (~((~v184(constB76)) | (~v160(constB76))))),
% 15.78/11.84 inference(tautology,[status(thm)],[])).
% 15.78/11.84 tff(34155,plain,
% 15.78/11.84 ((~(v187(constB76) <=> (~((~v184(constB76)) | (~v160(constB76)))))) | (~v187(constB76))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34154, 34153])).
% 15.78/11.84 tff(34156,plain,
% 15.78/11.84 (~v187(constB76)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34155, 34151])).
% 15.78/11.84 tff(34157,plain,
% 15.78/11.84 (((~v186(constB76)) | (~v187(constB76))) | v187(constB76)),
% 15.78/11.84 inference(tautology,[status(thm)],[])).
% 15.78/11.84 tff(34158,plain,
% 15.78/11.84 ((~v186(constB76)) | (~v187(constB76))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34157, 34156])).
% 15.78/11.84 tff(34159,plain,
% 15.78/11.84 ((~(v185(constB76) <=> (~((~v186(constB76)) | (~v187(constB76)))))) | (~v185(constB76)) | (~((~v186(constB76)) | (~v187(constB76))))),
% 15.78/11.84 inference(tautology,[status(thm)],[])).
% 15.78/11.84 tff(34160,plain,
% 15.78/11.84 (~v185(constB76)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34159, 34158, 34149])).
% 15.78/11.84 tff(34161,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76))))))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34162,plain,
% 15.78/11.84 ((v181(constB76) <=> (~((~v182(constB76)) | (~v158(constB76))))) <=> (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76)))))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34163,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v182(constB76)) | (~v158(constB76)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76))))))),
% 15.78/11.84 inference(monotonicity,[status(thm)],[34162])).
% 15.78/11.84 tff(34164,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v182(constB76)) | (~v158(constB76)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76))))))),
% 15.78/11.84 inference(transitivity,[status(thm)],[34163, 34161])).
% 15.78/11.84 tff(34165,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v182(constB76)) | (~v158(constB76)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34166,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76)))))),
% 15.78/11.84 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 15.78/11.84 tff(34167,plain,
% 15.78/11.84 (v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34166, 444])).
% 15.78/11.84 tff(34168,plain,
% 15.78/11.84 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB76) <=> v180(constB76))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34169,plain,
% 15.78/11.84 (v158(constB76) <=> v180(constB76)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34168, 358])).
% 15.78/11.84 tff(34170,plain,
% 15.78/11.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB75, constB76)) | (v180(constB76) <=> v178(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB75, constB76)) | (v180(constB76) <=> v178(constB75)))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34171,plain,
% 15.78/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB75, constB76)) | (v180(constB76) <=> v178(constB75)))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34172,plain,
% 15.78/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB75, constB76)) | (v180(constB76) <=> v178(constB75))),
% 15.78/11.84 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 15.78/11.84 tff(34173,plain,
% 15.78/11.84 (v180(constB76) <=> v178(constB75)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34172, 4972, 370])).
% 15.78/11.84 tff(34174,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB75) <=> (v181(constB75) | v185(constB75)))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34175,plain,
% 15.78/11.84 (v178(constB75) <=> (v181(constB75) | v185(constB75))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34174, 384])).
% 15.78/11.84 tff(34176,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75))))))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34177,plain,
% 15.78/11.84 ((v181(constB75) <=> (~((~v182(constB75)) | (~v158(constB75))))) <=> (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75)))))),
% 15.78/11.84 inference(rewrite,[status(thm)],[])).
% 15.78/11.84 tff(34178,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v182(constB75)) | (~v158(constB75)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75))))))),
% 15.78/11.84 inference(monotonicity,[status(thm)],[34177])).
% 15.78/11.84 tff(34179,plain,
% 15.78/11.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v182(constB75)) | (~v158(constB75)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75))))))),
% 15.78/11.84 inference(transitivity,[status(thm)],[34178, 34176])).
% 15.78/11.84 tff(34180,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v182(constB75)) | (~v158(constB75)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34181,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75)))))),
% 15.78/11.84 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 15.78/11.84 tff(34182,plain,
% 15.78/11.84 (v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34181, 444])).
% 15.78/11.84 tff(34183,plain,
% 15.78/11.84 (((~v158(constB75)) | (~v182(constB75))) | v182(constB75)),
% 15.78/11.84 inference(tautology,[status(thm)],[])).
% 15.78/11.84 tff(34184,plain,
% 15.78/11.84 ((~v158(constB75)) | (~v182(constB75))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34183, 33852])).
% 15.78/11.84 tff(34185,plain,
% 15.78/11.84 ((~(v181(constB75) <=> (~((~v158(constB75)) | (~v182(constB75)))))) | (~v181(constB75)) | (~((~v158(constB75)) | (~v182(constB75))))),
% 15.78/11.84 inference(tautology,[status(thm)],[])).
% 15.78/11.84 tff(34186,plain,
% 15.78/11.84 (~v181(constB75)),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34185, 34184, 34182])).
% 15.78/11.84 tff(34187,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB75) <=> (~((~v186(constB75)) | (~v187(constB75)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34188,plain,
% 15.78/11.84 (v185(constB75) <=> (~((~v186(constB75)) | (~v187(constB75))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34187, 396])).
% 15.78/11.84 tff(34189,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB75) <=> (~((~v184(constB75)) | (~v160(constB75)))))),
% 15.78/11.84 inference(quant_inst,[status(thm)],[])).
% 15.78/11.84 tff(34190,plain,
% 15.78/11.84 (v187(constB75) <=> (~((~v184(constB75)) | (~v160(constB75))))),
% 15.78/11.84 inference(unit_resolution,[status(thm)],[34189, 408])).
% 15.78/11.84 tff(34191,plain,
% 15.78/11.84 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB75) <=> v162(constB75))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34192,plain,
% 15.78/11.85 (v160(constB75) <=> v162(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34191, 549])).
% 15.78/11.85 tff(34193,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB75) <=> (v139(constB75) | v140(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34194,plain,
% 15.78/11.85 (v170(constB75) <=> (v139(constB75) | v140(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34193, 2216])).
% 15.78/11.85 tff(34195,plain,
% 15.78/11.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0))))))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34196,plain,
% 15.78/11.85 ((v140(constB75) <=> (~(v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0))))) <=> (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34197,plain,
% 15.78/11.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0))))))),
% 15.78/11.85 inference(monotonicity,[status(thm)],[34196])).
% 15.78/11.85 tff(34198,plain,
% 15.78/11.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0))))))),
% 15.78/11.85 inference(transitivity,[status(thm)],[34197, 34195])).
% 15.78/11.85 tff(34199,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)))))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34200,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))))),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[34199, 34198])).
% 15.78/11.85 tff(34201,plain,
% 15.78/11.85 (v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0))))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34200, 2250])).
% 15.78/11.85 tff(34202,plain,
% 15.78/11.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB75, bitIndex2) <=> v90(constB75, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB75, bitIndex2) <=> v90(constB75, bitIndex2)))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34203,plain,
% 15.78/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB75, bitIndex2) <=> v90(constB75, bitIndex2)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34204,plain,
% 15.78/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB75, bitIndex2) <=> v90(constB75, bitIndex2))),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[34203, 34202])).
% 15.78/11.85 tff(34205,plain,
% 15.78/11.85 (v88(constB75, bitIndex2) <=> v90(constB75, bitIndex2)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34204, 579, 576])).
% 15.78/11.85 tff(34206,plain,
% 15.78/11.85 ((~(v88(constB75, bitIndex2) <=> v90(constB75, bitIndex2))) | (~v88(constB75, bitIndex2)) | v90(constB75, bitIndex2)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34207,plain,
% 15.78/11.85 (~v88(constB75, bitIndex2)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34206, 12909, 34205])).
% 15.78/11.85 tff(34208,plain,
% 15.78/11.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB75, bitIndex0) <=> v90(constB75, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB75, bitIndex0) <=> v90(constB75, bitIndex0)))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34209,plain,
% 15.78/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB75, bitIndex0) <=> v90(constB75, bitIndex0)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34210,plain,
% 15.78/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB75, bitIndex0) <=> v90(constB75, bitIndex0))),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[34209, 34208])).
% 15.78/11.85 tff(34211,plain,
% 15.78/11.85 (v88(constB75, bitIndex0) <=> v90(constB75, bitIndex0)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34210, 1275, 576])).
% 15.78/11.85 tff(34212,plain,
% 15.78/11.85 ((~(v88(constB75, bitIndex0) <=> v90(constB75, bitIndex0))) | v88(constB75, bitIndex0) | (~v90(constB75, bitIndex0))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34213,plain,
% 15.78/11.85 (v88(constB75, bitIndex0)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34212, 12940, 34211])).
% 15.78/11.85 tff(34214,plain,
% 15.78/11.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB75, bitIndex1) <=> v90(constB75, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB75, bitIndex1) <=> v90(constB75, bitIndex1)))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34215,plain,
% 15.78/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB75, bitIndex1) <=> v90(constB75, bitIndex1)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34216,plain,
% 15.78/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB75, bitIndex1) <=> v90(constB75, bitIndex1))),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[34215, 34214])).
% 15.78/11.85 tff(34217,plain,
% 15.78/11.85 (v88(constB75, bitIndex1) <=> v90(constB75, bitIndex1)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34216, 1288, 576])).
% 15.78/11.85 tff(34218,plain,
% 15.78/11.85 ((~(v88(constB75, bitIndex1) <=> v90(constB75, bitIndex1))) | (~v88(constB75, bitIndex1)) | v90(constB75, bitIndex1)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34219,plain,
% 15.78/11.85 (~v88(constB75, bitIndex1)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34218, 12971, 34217])).
% 15.78/11.85 tff(34220,plain,
% 15.78/11.85 ((~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34221,plain,
% 15.78/11.85 (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34220, 34219, 34213, 34207])).
% 15.78/11.85 tff(34222,plain,
% 15.78/11.85 ((~(v140(constB75) <=> (~(v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))))) | v140(constB75) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34223,plain,
% 15.78/11.85 (v140(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34222, 34221, 34201])).
% 15.78/11.85 tff(34224,plain,
% 15.78/11.85 ((v139(constB75) | v140(constB75)) | (~v140(constB75))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34225,plain,
% 15.78/11.85 (v139(constB75) | v140(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34224, 34223])).
% 15.78/11.85 tff(34226,plain,
% 15.78/11.85 ((~(v170(constB75) <=> (v139(constB75) | v140(constB75)))) | v170(constB75) | (~(v139(constB75) | v140(constB75)))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34227,plain,
% 15.78/11.85 (v170(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34226, 34225, 34194])).
% 15.78/11.85 tff(34228,plain,
% 15.78/11.85 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB75)) | (~v169(constB75)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB75)) | (~v169(constB75)))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34229,plain,
% 15.78/11.85 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB75)) | (~v169(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34230,plain,
% 15.78/11.85 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB75)) | (~v169(constB75))),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[34229, 34228])).
% 15.78/11.85 tff(34231,plain,
% 15.78/11.85 ((~v170(constB75)) | (~v169(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34230, 18673])).
% 15.78/11.85 tff(34232,plain,
% 15.78/11.85 (~v169(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34231, 34227])).
% 15.78/11.85 tff(34233,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB75) <=> (v145(constB75) | v166(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34234,plain,
% 15.78/11.85 (v165(constB75) <=> (v145(constB75) | v166(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34233, 2293])).
% 15.78/11.85 tff(34235,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB75) <=> (v142(constB75) | v167(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34236,plain,
% 15.78/11.85 (v166(constB75) <=> (v142(constB75) | v167(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34235, 2804])).
% 15.78/11.85 tff(34237,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB75) <=> (v141(constB75) | v168(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34238,plain,
% 15.78/11.85 (v167(constB75) <=> (v141(constB75) | v168(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34237, 18692])).
% 15.78/11.85 tff(34239,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB75) <=> (v139(constB75) | v140(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34240,plain,
% 15.78/11.85 (v168(constB75) <=> (v139(constB75) | v140(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34239, 18701])).
% 15.78/11.85 tff(34241,plain,
% 15.78/11.85 ((~(v168(constB75) <=> (v139(constB75) | v140(constB75)))) | v168(constB75) | (~(v139(constB75) | v140(constB75)))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34242,plain,
% 15.78/11.85 (v168(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34241, 34225, 34240])).
% 15.78/11.85 tff(34243,plain,
% 15.78/11.85 ((v141(constB75) | v168(constB75)) | (~v168(constB75))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34244,plain,
% 15.78/11.85 (v141(constB75) | v168(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34243, 34242])).
% 15.78/11.85 tff(34245,plain,
% 15.78/11.85 ((~(v167(constB75) <=> (v141(constB75) | v168(constB75)))) | v167(constB75) | (~(v141(constB75) | v168(constB75)))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34246,plain,
% 15.78/11.85 (v167(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34245, 34244, 34238])).
% 15.78/11.85 tff(34247,plain,
% 15.78/11.85 ((v142(constB75) | v167(constB75)) | (~v167(constB75))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34248,plain,
% 15.78/11.85 (v142(constB75) | v167(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34247, 34246])).
% 15.78/11.85 tff(34249,plain,
% 15.78/11.85 ((~(v166(constB75) <=> (v142(constB75) | v167(constB75)))) | v166(constB75) | (~(v142(constB75) | v167(constB75)))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34250,plain,
% 15.78/11.85 (v166(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34249, 34248, 34236])).
% 15.78/11.85 tff(34251,plain,
% 15.78/11.85 ((v145(constB75) | v166(constB75)) | (~v166(constB75))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34252,plain,
% 15.78/11.85 (v145(constB75) | v166(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34251, 34250])).
% 15.78/11.85 tff(34253,plain,
% 15.78/11.85 ((~(v165(constB75) <=> (v145(constB75) | v166(constB75)))) | v165(constB75) | (~(v145(constB75) | v166(constB75)))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34254,plain,
% 15.78/11.85 (v165(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34253, 34252, 34234])).
% 15.78/11.85 tff(34255,plain,
% 15.78/11.85 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB75)) | (v162(constB75) <=> v169(constB75)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB75)) | (v162(constB75) <=> v169(constB75)))),
% 15.78/11.85 inference(rewrite,[status(thm)],[])).
% 15.78/11.85 tff(34256,plain,
% 15.78/11.85 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB75)) | (v162(constB75) <=> v169(constB75)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34257,plain,
% 15.78/11.85 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB75)) | (v162(constB75) <=> v169(constB75))),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[34256, 34255])).
% 15.78/11.85 tff(34258,plain,
% 15.78/11.85 ((~v165(constB75)) | (v162(constB75) <=> v169(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34257, 2426])).
% 15.78/11.85 tff(34259,plain,
% 15.78/11.85 (v162(constB75) <=> v169(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34258, 34254])).
% 15.78/11.85 tff(34260,plain,
% 15.78/11.85 ((~(v162(constB75) <=> v169(constB75))) | (~v162(constB75)) | v169(constB75)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34261,plain,
% 15.78/11.85 (~v162(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34260, 34259, 34232])).
% 15.78/11.85 tff(34262,plain,
% 15.78/11.85 ((~(v160(constB75) <=> v162(constB75))) | (~v160(constB75)) | v162(constB75)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34263,plain,
% 15.78/11.85 ((~(v160(constB75) <=> v162(constB75))) | (~v160(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34262, 34261])).
% 15.78/11.85 tff(34264,plain,
% 15.78/11.85 (~v160(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34263, 34192])).
% 15.78/11.85 tff(34265,plain,
% 15.78/11.85 (((~v184(constB75)) | (~v160(constB75))) | v160(constB75)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34266,plain,
% 15.78/11.85 ((~v184(constB75)) | (~v160(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34265, 34264])).
% 15.78/11.85 tff(34267,plain,
% 15.78/11.85 ((~(v187(constB75) <=> (~((~v184(constB75)) | (~v160(constB75)))))) | (~v187(constB75)) | (~((~v184(constB75)) | (~v160(constB75))))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34268,plain,
% 15.78/11.85 (~v187(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34267, 34266, 34190])).
% 15.78/11.85 tff(34269,plain,
% 15.78/11.85 (((~v186(constB75)) | (~v187(constB75))) | v187(constB75)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34270,plain,
% 15.78/11.85 ((~v186(constB75)) | (~v187(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34269, 34268])).
% 15.78/11.85 tff(34271,plain,
% 15.78/11.85 ((~(v185(constB75) <=> (~((~v186(constB75)) | (~v187(constB75)))))) | (~v185(constB75)) | (~((~v186(constB75)) | (~v187(constB75))))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34272,plain,
% 15.78/11.85 (~v185(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34271, 34270, 34188])).
% 15.78/11.85 tff(34273,plain,
% 15.78/11.85 ((~(v181(constB75) | v185(constB75))) | v181(constB75) | v185(constB75)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34274,plain,
% 15.78/11.85 (~(v181(constB75) | v185(constB75))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34273, 34272, 34186])).
% 15.78/11.85 tff(34275,plain,
% 15.78/11.85 ((~(v178(constB75) <=> (v181(constB75) | v185(constB75)))) | (~v178(constB75)) | (v181(constB75) | v185(constB75))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34276,plain,
% 15.78/11.85 (~v178(constB75)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34275, 34274, 34175])).
% 15.78/11.85 tff(34277,plain,
% 15.78/11.85 ((~(v180(constB76) <=> v178(constB75))) | (~v180(constB76)) | v178(constB75)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34278,plain,
% 15.78/11.85 (~v180(constB76)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34277, 34276, 34173])).
% 15.78/11.85 tff(34279,plain,
% 15.78/11.85 ((~(v158(constB76) <=> v180(constB76))) | (~v158(constB76)) | v180(constB76)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34280,plain,
% 15.78/11.85 (~v158(constB76)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34279, 34278, 34169])).
% 15.78/11.85 tff(34281,plain,
% 15.78/11.85 (((~v158(constB76)) | (~v182(constB76))) | v158(constB76)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34282,plain,
% 15.78/11.85 ((~v158(constB76)) | (~v182(constB76))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34281, 34280])).
% 15.78/11.85 tff(34283,plain,
% 15.78/11.85 ((~(v181(constB76) <=> (~((~v158(constB76)) | (~v182(constB76)))))) | (~v181(constB76)) | (~((~v158(constB76)) | (~v182(constB76))))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34284,plain,
% 15.78/11.85 (~v181(constB76)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34283, 34282, 34167])).
% 15.78/11.85 tff(34285,plain,
% 15.78/11.85 ((~(v181(constB76) | v185(constB76))) | v181(constB76) | v185(constB76)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34286,plain,
% 15.78/11.85 (~(v181(constB76) | v185(constB76))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34285, 34284, 34160])).
% 15.78/11.85 tff(34287,plain,
% 15.78/11.85 ((~(v178(constB76) <=> (v181(constB76) | v185(constB76)))) | (~v178(constB76)) | (v181(constB76) | v185(constB76))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34288,plain,
% 15.78/11.85 (~v178(constB76)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34287, 34286, 34147])).
% 15.78/11.85 tff(34289,plain,
% 15.78/11.85 ((~(v180(constB77) <=> v178(constB76))) | (~v180(constB77)) | v178(constB76)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34290,plain,
% 15.78/11.85 (~v180(constB77)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34289, 34288, 34145])).
% 15.78/11.85 tff(34291,plain,
% 15.78/11.85 ((~(v158(constB77) <=> v180(constB77))) | (~v158(constB77)) | v180(constB77)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34292,plain,
% 15.78/11.85 (~v158(constB77)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34291, 34290, 34141])).
% 15.78/11.85 tff(34293,plain,
% 15.78/11.85 (((~v158(constB77)) | (~v206(constB77))) | v158(constB77)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34294,plain,
% 15.78/11.85 ((~v158(constB77)) | (~v206(constB77))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34293, 34292])).
% 15.78/11.85 tff(34295,plain,
% 15.78/11.85 ((~(v205(constB77) <=> (~((~v158(constB77)) | (~v206(constB77)))))) | (~v205(constB77)) | (~((~v158(constB77)) | (~v206(constB77))))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34296,plain,
% 15.78/11.85 (~v205(constB77)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34295, 34294, 34139])).
% 15.78/11.85 tff(34297,plain,
% 15.78/11.85 ((~(v205(constB77) | v209(constB77))) | v205(constB77) | v209(constB77)),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34298,plain,
% 15.78/11.85 (~(v205(constB77) | v209(constB77))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34297, 34296, 34132])).
% 15.78/11.85 tff(34299,plain,
% 15.78/11.85 ((~(v204(constB77) <=> (v205(constB77) | v209(constB77)))) | (~v204(constB77)) | (v205(constB77) | v209(constB77))),
% 15.78/11.85 inference(tautology,[status(thm)],[])).
% 15.78/11.85 tff(34300,plain,
% 15.78/11.85 (~v204(constB77)),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34299, 34298, 33732])).
% 15.78/11.85 tff(34301,plain,
% 15.78/11.85 ($false),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34300, 33730])).
% 15.78/11.85 tff(34302,plain,(~(constB77 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.78/11.85 tff(34303,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 15.78/11.85 tff(34304,plain,
% 15.78/11.85 (v204(constB7) <=> v204(VarCurr!0)),
% 15.78/11.85 inference(monotonicity,[status(thm)],[34303])).
% 15.78/11.85 tff(34305,plain,
% 15.78/11.85 (v204(VarCurr!0) <=> v204(constB7)),
% 15.78/11.85 inference(symmetry,[status(thm)],[34304])).
% 15.78/11.85 tff(34306,plain,
% 15.78/11.85 (v204(constB7)),
% 15.78/11.85 inference(modus_ponens,[status(thm)],[27, 34305])).
% 15.78/11.85 tff(34307,plain,
% 15.78/11.85 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB7) <=> (v205(constB7) | v209(constB7)))),
% 15.78/11.85 inference(quant_inst,[status(thm)],[])).
% 15.78/11.85 tff(34308,plain,
% 15.78/11.85 (v204(constB7) <=> (v205(constB7) | v209(constB7))),
% 15.78/11.85 inference(unit_resolution,[status(thm)],[34307, 35])).
% 15.78/11.85 tff(34309,plain,
% 15.78/11.85 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7))))))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34310,plain,
% 15.78/11.86 ((v205(constB7) <=> (~((~v206(constB7)) | (~v158(constB7))))) <=> (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7)))))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34311,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v206(constB7)) | (~v158(constB7)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7))))))),
% 15.78/11.86 inference(monotonicity,[status(thm)],[34310])).
% 15.78/11.86 tff(34312,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v206(constB7)) | (~v158(constB7)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7))))))),
% 15.78/11.86 inference(transitivity,[status(thm)],[34311, 34309])).
% 15.78/11.86 tff(34313,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v206(constB7)) | (~v158(constB7)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34314,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7)))))),
% 15.78/11.86 inference(modus_ponens,[status(thm)],[34313, 34312])).
% 15.78/11.86 tff(34315,plain,
% 15.78/11.86 (v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34314, 2502])).
% 15.78/11.86 tff(34316,plain,
% 15.78/11.86 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB7) <=> v180(constB7))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34317,plain,
% 15.78/11.86 (v158(constB7) <=> v180(constB7)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34316, 358])).
% 15.78/11.86 tff(34318,plain,
% 15.78/11.86 (((~![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)))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34319,plain,
% 15.78/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB6, constB7)) | (v180(constB7) <=> v178(constB6)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34320,plain,
% 15.78/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB6, constB7)) | (v180(constB7) <=> v178(constB6))),
% 15.78/11.86 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 15.78/11.86 tff(34321,plain,
% 15.78/11.86 (v180(constB7) <=> v178(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34320, 910, 370])).
% 15.78/11.86 tff(34322,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB6) <=> (v181(constB6) | v185(constB6)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34323,plain,
% 15.78/11.86 (v178(constB6) <=> (v181(constB6) | v185(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34322, 384])).
% 15.78/11.86 tff(34324,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB6) <=> (~((~v186(constB6)) | (~v187(constB6)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34325,plain,
% 15.78/11.86 (v185(constB6) <=> (~((~v186(constB6)) | (~v187(constB6))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34324, 396])).
% 15.78/11.86 tff(34326,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB6) <=> (~((~v184(constB6)) | (~v160(constB6)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34327,plain,
% 15.78/11.86 (v187(constB6) <=> (~((~v184(constB6)) | (~v160(constB6))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34326, 408])).
% 15.78/11.86 tff(34328,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34329,plain,
% 15.78/11.86 (v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34328, 138])).
% 15.78/11.86 tff(34330,plain,
% 15.78/11.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34331,plain,
% 15.78/11.86 ((~v39(constB6)) <=> v1(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34330, 147])).
% 15.78/11.86 tff(34332,plain,
% 15.78/11.86 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34333,plain,
% 15.78/11.86 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34332, 972])).
% 15.78/11.86 tff(34334,plain,
% 15.78/11.86 (~v39(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34333, 34331])).
% 15.78/11.86 tff(34335,plain,
% 15.78/11.86 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34336,plain,
% 15.78/11.86 ((~v39(constB6)) | (~v9(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34335, 34334])).
% 15.78/11.86 tff(34337,plain,
% 15.78/11.86 ((~(v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v184(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34338,plain,
% 15.78/11.86 ((~(v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v184(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34337, 34336])).
% 15.78/11.86 tff(34339,plain,
% 15.78/11.86 (~v184(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34338, 34329])).
% 15.78/11.86 tff(34340,plain,
% 15.78/11.86 (((~v184(constB6)) | (~v160(constB6))) | v184(constB6)),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34341,plain,
% 15.78/11.86 ((~v184(constB6)) | (~v160(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34340, 34339])).
% 15.78/11.86 tff(34342,plain,
% 15.78/11.86 ((~(v187(constB6) <=> (~((~v184(constB6)) | (~v160(constB6)))))) | (~v187(constB6)) | (~((~v184(constB6)) | (~v160(constB6))))),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34343,plain,
% 15.78/11.86 ((~(v187(constB6) <=> (~((~v184(constB6)) | (~v160(constB6)))))) | (~v187(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34342, 34341])).
% 15.78/11.86 tff(34344,plain,
% 15.78/11.86 (~v187(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34343, 34327])).
% 15.78/11.86 tff(34345,plain,
% 15.78/11.86 (((~v186(constB6)) | (~v187(constB6))) | v187(constB6)),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34346,plain,
% 15.78/11.86 ((~v186(constB6)) | (~v187(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34345, 34344])).
% 15.78/11.86 tff(34347,plain,
% 15.78/11.86 ((~(v185(constB6) <=> (~((~v186(constB6)) | (~v187(constB6)))))) | (~v185(constB6)) | (~((~v186(constB6)) | (~v187(constB6))))),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34348,plain,
% 15.78/11.86 (~v185(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34347, 34346, 34325])).
% 15.78/11.86 tff(34349,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6))))))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34350,plain,
% 15.78/11.86 ((v181(constB6) <=> (~((~v182(constB6)) | (~v158(constB6))))) <=> (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6)))))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34351,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v182(constB6)) | (~v158(constB6)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6))))))),
% 15.78/11.86 inference(monotonicity,[status(thm)],[34350])).
% 15.78/11.86 tff(34352,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v182(constB6)) | (~v158(constB6)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6))))))),
% 15.78/11.86 inference(transitivity,[status(thm)],[34351, 34349])).
% 15.78/11.86 tff(34353,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v182(constB6)) | (~v158(constB6)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34354,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6)))))),
% 15.78/11.86 inference(modus_ponens,[status(thm)],[34353, 34352])).
% 15.78/11.86 tff(34355,plain,
% 15.78/11.86 (v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34354, 444])).
% 15.78/11.86 tff(34356,plain,
% 15.78/11.86 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB6) <=> v180(constB6))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34357,plain,
% 15.78/11.86 (v158(constB6) <=> v180(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34356, 358])).
% 15.78/11.86 tff(34358,plain,
% 15.78/11.86 (((~![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)))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34359,plain,
% 15.78/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB5, constB6)) | (v180(constB6) <=> v178(constB5)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34360,plain,
% 15.78/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB5, constB6)) | (v180(constB6) <=> v178(constB5))),
% 15.78/11.86 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 15.78/11.86 tff(34361,plain,
% 15.78/11.86 (v180(constB6) <=> v178(constB5)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34360, 942, 370])).
% 15.78/11.86 tff(34362,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB5) <=> (v181(constB5) | v185(constB5)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34363,plain,
% 15.78/11.86 (v178(constB5) <=> (v181(constB5) | v185(constB5))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34362, 384])).
% 15.78/11.86 tff(34364,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5))))))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34365,plain,
% 15.78/11.86 ((v181(constB5) <=> (~((~v182(constB5)) | (~v158(constB5))))) <=> (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5)))))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34366,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v182(constB5)) | (~v158(constB5)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5))))))),
% 15.78/11.86 inference(monotonicity,[status(thm)],[34365])).
% 15.78/11.86 tff(34367,plain,
% 15.78/11.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v182(constB5)) | (~v158(constB5)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5))))))),
% 15.78/11.86 inference(transitivity,[status(thm)],[34366, 34364])).
% 15.78/11.86 tff(34368,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v182(constB5)) | (~v158(constB5)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34369,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5)))))),
% 15.78/11.86 inference(modus_ponens,[status(thm)],[34368, 34367])).
% 15.78/11.86 tff(34370,plain,
% 15.78/11.86 (v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34369, 444])).
% 15.78/11.86 tff(34371,plain,
% 15.78/11.86 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB5)) <=> v183(constB5))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34372,plain,
% 15.78/11.86 ((~v182(constB5)) <=> v183(constB5)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34371, 205])).
% 15.78/11.86 tff(34373,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB5) <=> (v184(constB5) | v26(constB5)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34374,plain,
% 15.78/11.86 (v183(constB5) <=> (v184(constB5) | v26(constB5))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34373, 214])).
% 15.78/11.86 tff(34375,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34376,plain,
% 15.78/11.86 (v184(constB5) <=> (~((~v39(constB5)) | (~v9(constB5))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34375, 138])).
% 15.78/11.86 tff(34377,plain,
% 15.78/11.86 (((~![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)))),
% 15.78/11.86 inference(rewrite,[status(thm)],[])).
% 15.78/11.86 tff(34378,plain,
% 15.78/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34379,plain,
% 15.78/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5))),
% 15.78/11.86 inference(modus_ponens,[status(thm)],[34378, 34377])).
% 15.78/11.86 tff(34380,plain,
% 15.78/11.86 (v13(constB6) <=> v9(constB5)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34379, 942, 228])).
% 15.78/11.86 tff(34381,plain,
% 15.78/11.86 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB6) <=> v13(constB6))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34382,plain,
% 15.78/11.86 (v6(constB6) <=> v13(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34381, 242])).
% 15.78/11.86 tff(34383,plain,
% 15.78/11.86 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB6)) <=> v6(constB6))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34384,plain,
% 15.78/11.86 ((~v21(constB6)) <=> v6(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34383, 251])).
% 15.78/11.86 tff(34385,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB6) <=> (v20(constB6) | v21(constB6)))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34386,plain,
% 15.78/11.86 (v19(constB6) <=> (v20(constB6) | v21(constB6))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34385, 260])).
% 15.78/11.86 tff(34387,plain,
% 15.78/11.86 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34388,plain,
% 15.78/11.86 (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6))))),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34387, 272])).
% 15.78/11.86 tff(34389,plain,
% 15.78/11.86 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB6)) <=> v18(constB6))),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34390,plain,
% 15.78/11.86 ((~v4(constB6)) <=> v18(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34389, 281])).
% 15.78/11.86 tff(34391,plain,
% 15.78/11.86 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB6)),
% 15.78/11.86 inference(quant_inst,[status(thm)],[])).
% 15.78/11.86 tff(34392,plain,
% 15.78/11.86 (v4(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34391, 290])).
% 15.78/11.86 tff(34393,plain,
% 15.78/11.86 ((~((~v4(constB6)) <=> v18(constB6))) | (~v4(constB6)) | (~v18(constB6))),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.86 tff(34394,plain,
% 15.78/11.86 (~v18(constB6)),
% 15.78/11.86 inference(unit_resolution,[status(thm)],[34393, 34392, 34390])).
% 15.78/11.86 tff(34395,plain,
% 15.78/11.86 ((~(v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))) | v18(constB6) | ((~v19(constB6)) | (~v22(constB6)))),
% 15.78/11.86 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34396,plain,
% 15.78/11.87 ((~v19(constB6)) | (~v22(constB6))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34395, 34394, 34388])).
% 15.78/11.87 tff(34397,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB6) <=> (v1(constB6) | v6(constB6)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34398,plain,
% 15.78/11.87 (v22(constB6) <=> (v1(constB6) | v6(constB6))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34397, 303])).
% 15.78/11.87 tff(34399,plain,
% 15.78/11.87 ((v1(constB6) | v6(constB6)) | (~v1(constB6))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34400,plain,
% 15.78/11.87 (v1(constB6) | v6(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34399, 972])).
% 15.78/11.87 tff(34401,plain,
% 15.78/11.87 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6) | (~(v1(constB6) | v6(constB6)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34402,plain,
% 15.78/11.87 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34401, 34400])).
% 15.78/11.87 tff(34403,plain,
% 15.78/11.87 (v22(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34402, 34398])).
% 15.78/11.87 tff(34404,plain,
% 15.78/11.87 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6)) | (~v22(constB6))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34405,plain,
% 15.78/11.87 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34404, 34403])).
% 15.78/11.87 tff(34406,plain,
% 15.78/11.87 (~v19(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34405, 34396])).
% 15.78/11.87 tff(34407,plain,
% 15.78/11.87 ((~(v19(constB6) <=> (v20(constB6) | v21(constB6)))) | v19(constB6) | (~(v20(constB6) | v21(constB6)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34408,plain,
% 15.78/11.87 (~(v20(constB6) | v21(constB6))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34407, 34406, 34386])).
% 15.78/11.87 tff(34409,plain,
% 15.78/11.87 ((v20(constB6) | v21(constB6)) | (~v21(constB6))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34410,plain,
% 15.78/11.87 (~v21(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34409, 34408])).
% 15.78/11.87 tff(34411,plain,
% 15.78/11.87 ((~((~v21(constB6)) <=> v6(constB6))) | v21(constB6) | v6(constB6)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34412,plain,
% 15.78/11.87 (v6(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34411, 34410, 34384])).
% 15.78/11.87 tff(34413,plain,
% 15.78/11.87 ((~(v6(constB6) <=> v13(constB6))) | (~v6(constB6)) | v13(constB6)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34414,plain,
% 15.78/11.87 (v13(constB6)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34413, 34412, 34382])).
% 15.78/11.87 tff(34415,plain,
% 15.78/11.87 ((~(v13(constB6) <=> v9(constB5))) | (~v13(constB6)) | v9(constB5)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34416,plain,
% 15.78/11.87 (v9(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34415, 34414, 34380])).
% 15.78/11.87 tff(34417,plain,
% 15.78/11.87 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB5)) <=> v1(constB5))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34418,plain,
% 15.78/11.87 ((~v39(constB5)) <=> v1(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34417, 147])).
% 15.78/11.87 tff(34419,plain,
% 15.78/11.87 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5) | v1(constB5)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34420,plain,
% 15.78/11.87 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34419, 964])).
% 15.78/11.87 tff(34421,plain,
% 15.78/11.87 (v39(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34420, 34418])).
% 15.78/11.87 tff(34422,plain,
% 15.78/11.87 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v39(constB5)) | (~v9(constB5))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34423,plain,
% 15.78/11.87 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v9(constB5))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34422, 34421])).
% 15.78/11.87 tff(34424,plain,
% 15.78/11.87 (~((~v39(constB5)) | (~v9(constB5)))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34423, 34416])).
% 15.78/11.87 tff(34425,plain,
% 15.78/11.87 ((~(v184(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))) | v184(constB5) | ((~v39(constB5)) | (~v9(constB5)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34426,plain,
% 15.78/11.87 (v184(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34425, 34424, 34376])).
% 15.78/11.87 tff(34427,plain,
% 15.78/11.87 ((v184(constB5) | v26(constB5)) | (~v184(constB5))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34428,plain,
% 15.78/11.87 (v184(constB5) | v26(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34427, 34426])).
% 15.78/11.87 tff(34429,plain,
% 15.78/11.87 ((~(v183(constB5) <=> (v184(constB5) | v26(constB5)))) | v183(constB5) | (~(v184(constB5) | v26(constB5)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34430,plain,
% 15.78/11.87 (v183(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34429, 34428, 34374])).
% 15.78/11.87 tff(34431,plain,
% 15.78/11.87 ((~((~v182(constB5)) <=> v183(constB5))) | (~v182(constB5)) | (~v183(constB5))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34432,plain,
% 15.78/11.87 (~v182(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34431, 34430, 34372])).
% 15.78/11.87 tff(34433,plain,
% 15.78/11.87 (((~v158(constB5)) | (~v182(constB5))) | v182(constB5)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34434,plain,
% 15.78/11.87 ((~v158(constB5)) | (~v182(constB5))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34433, 34432])).
% 15.78/11.87 tff(34435,plain,
% 15.78/11.87 ((~(v181(constB5) <=> (~((~v158(constB5)) | (~v182(constB5)))))) | (~v181(constB5)) | (~((~v158(constB5)) | (~v182(constB5))))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34436,plain,
% 15.78/11.87 (~v181(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34435, 34434, 34370])).
% 15.78/11.87 tff(34437,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB5) <=> (~((~v186(constB5)) | (~v187(constB5)))))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34438,plain,
% 15.78/11.87 (v185(constB5) <=> (~((~v186(constB5)) | (~v187(constB5))))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34437, 396])).
% 15.78/11.87 tff(34439,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB5) <=> (~((~v184(constB5)) | (~v160(constB5)))))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34440,plain,
% 15.78/11.87 (v187(constB5) <=> (~((~v184(constB5)) | (~v160(constB5))))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34439, 408])).
% 15.78/11.87 tff(34441,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB5) <=> v162(constB5))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34442,plain,
% 15.78/11.87 (v160(constB5) <=> v162(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34441, 549])).
% 15.78/11.87 tff(34443,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB5) <=> (v145(constB5) | v166(constB5)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34444,plain,
% 15.78/11.87 (v165(constB5) <=> (v145(constB5) | v166(constB5))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34443, 2293])).
% 15.78/11.87 tff(34445,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB5) <=> (v142(constB5) | v167(constB5)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34446,plain,
% 15.78/11.87 (v166(constB5) <=> (v142(constB5) | v167(constB5))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34445, 2804])).
% 15.78/11.87 tff(34447,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB5) <=> (v143(constB5) | v144(constB5)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34448,plain,
% 15.78/11.87 (v142(constB5) <=> (v143(constB5) | v144(constB5))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34447, 2813])).
% 15.78/11.87 tff(34449,plain,
% 15.78/11.87 (((~![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)))))),
% 15.78/11.87 inference(rewrite,[status(thm)],[])).
% 15.78/11.87 tff(34450,plain,
% 15.78/11.87 ((v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1))))) <=> (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))),
% 15.78/11.87 inference(rewrite,[status(thm)],[])).
% 15.78/11.87 tff(34451,plain,
% 15.78/11.87 (((~![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)))))),
% 15.78/11.87 inference(monotonicity,[status(thm)],[34450])).
% 15.78/11.87 tff(34452,plain,
% 15.78/11.87 (((~![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)))))),
% 15.78/11.87 inference(transitivity,[status(thm)],[34451, 34449])).
% 15.78/11.87 tff(34453,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34454,plain,
% 15.78/11.87 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))),
% 15.78/11.87 inference(modus_ponens,[status(thm)],[34453, 34452])).
% 15.78/11.87 tff(34455,plain,
% 15.78/11.87 (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34454, 16089])).
% 15.78/11.87 tff(34456,plain,
% 15.78/11.87 (((~![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)))),
% 15.78/11.87 inference(rewrite,[status(thm)],[])).
% 15.78/11.87 tff(34457,plain,
% 15.78/11.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34458,plain,
% 15.78/11.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2))),
% 15.78/11.87 inference(modus_ponens,[status(thm)],[34457, 34456])).
% 15.78/11.87 tff(34459,plain,
% 15.78/11.87 (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34458, 579, 576])).
% 15.78/11.87 tff(34460,plain,
% 15.78/11.87 ((~(v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2))) | (~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34461,plain,
% 15.78/11.87 (~v88(constB5, bitIndex2)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34460, 1675, 34459])).
% 15.78/11.87 tff(34462,plain,
% 15.78/11.87 (((~![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)))),
% 15.78/11.87 inference(rewrite,[status(thm)],[])).
% 15.78/11.87 tff(34463,plain,
% 15.78/11.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34464,plain,
% 15.78/11.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0))),
% 15.78/11.87 inference(modus_ponens,[status(thm)],[34463, 34462])).
% 15.78/11.87 tff(34465,plain,
% 15.78/11.87 (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34464, 1275, 576])).
% 15.78/11.87 tff(34466,plain,
% 15.78/11.87 ((~(v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34467,plain,
% 15.78/11.87 (~v88(constB5, bitIndex0)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34466, 1709, 34465])).
% 15.78/11.87 tff(34468,plain,
% 15.78/11.87 (((~![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)))),
% 15.78/11.87 inference(rewrite,[status(thm)],[])).
% 15.78/11.87 tff(34469,plain,
% 15.78/11.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))),
% 15.78/11.87 inference(quant_inst,[status(thm)],[])).
% 15.78/11.87 tff(34470,plain,
% 15.78/11.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1))),
% 15.78/11.87 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 15.78/11.87 tff(34471,plain,
% 15.78/11.87 (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34470, 1288, 576])).
% 15.78/11.87 tff(34472,plain,
% 15.78/11.87 ((~(v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1))) | v88(constB5, bitIndex1) | (~v90(constB5, bitIndex1))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34473,plain,
% 15.78/11.87 (v88(constB5, bitIndex1)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34472, 1743, 34471])).
% 15.78/11.87 tff(34474,plain,
% 15.78/11.87 ((~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34475,plain,
% 15.78/11.87 (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34474, 34473, 34467, 34461])).
% 15.78/11.87 tff(34476,plain,
% 15.78/11.87 ((~(v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))) | v143(constB5) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34477,plain,
% 15.78/11.87 (v143(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34476, 34475, 34455])).
% 15.78/11.87 tff(34478,plain,
% 15.78/11.87 ((v143(constB5) | v144(constB5)) | (~v143(constB5))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34479,plain,
% 15.78/11.87 (v143(constB5) | v144(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34478, 34477])).
% 15.78/11.87 tff(34480,plain,
% 15.78/11.87 ((~(v142(constB5) <=> (v143(constB5) | v144(constB5)))) | v142(constB5) | (~(v143(constB5) | v144(constB5)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34481,plain,
% 15.78/11.87 (v142(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34480, 34479, 34448])).
% 15.78/11.87 tff(34482,plain,
% 15.78/11.87 ((v142(constB5) | v167(constB5)) | (~v142(constB5))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34483,plain,
% 15.78/11.87 (v142(constB5) | v167(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34482, 34481])).
% 15.78/11.87 tff(34484,plain,
% 15.78/11.87 ((~(v166(constB5) <=> (v142(constB5) | v167(constB5)))) | v166(constB5) | (~(v142(constB5) | v167(constB5)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34485,plain,
% 15.78/11.87 (v166(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34484, 34483, 34446])).
% 15.78/11.87 tff(34486,plain,
% 15.78/11.87 ((v145(constB5) | v166(constB5)) | (~v166(constB5))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34487,plain,
% 15.78/11.87 (v145(constB5) | v166(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34486, 34485])).
% 15.78/11.87 tff(34488,plain,
% 15.78/11.87 ((~(v165(constB5) <=> (v145(constB5) | v166(constB5)))) | v165(constB5) | (~(v145(constB5) | v166(constB5)))),
% 15.78/11.87 inference(tautology,[status(thm)],[])).
% 15.78/11.87 tff(34489,plain,
% 15.78/11.87 (v165(constB5)),
% 15.78/11.87 inference(unit_resolution,[status(thm)],[34488, 34487, 34444])).
% 15.78/11.87 tff(34490,plain,
% 15.78/11.87 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB5)) | (v162(constB5) <=> v169(constB5)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB5)) | (v162(constB5) <=> v169(constB5)))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34491,plain,
% 15.82/11.88 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB5)) | (v162(constB5) <=> v169(constB5)))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34492,plain,
% 15.82/11.88 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB5)) | (v162(constB5) <=> v169(constB5))),
% 15.82/11.88 inference(modus_ponens,[status(thm)],[34491, 34490])).
% 15.82/11.88 tff(34493,plain,
% 15.82/11.88 (v162(constB5) <=> v169(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34492, 2426, 34489])).
% 15.82/11.88 tff(34494,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex0)))))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34495,plain,
% 15.82/11.88 (v141(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex0))))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34494, 564])).
% 15.82/11.88 tff(34496,plain,
% 15.82/11.88 ((v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex0))) | v88(constB5, bitIndex0)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34497,plain,
% 15.82/11.88 (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex0))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34496, 34467])).
% 15.82/11.88 tff(34498,plain,
% 15.82/11.88 ((~(v141(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex0)))))) | (~v141(constB5)) | (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex0))))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34499,plain,
% 15.82/11.88 (~v141(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34498, 34497, 34495])).
% 15.82/11.88 tff(34500,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB5) <=> (v139(constB5) | v140(constB5)))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34501,plain,
% 15.82/11.88 (v170(constB5) <=> (v139(constB5) | v140(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34500, 2216])).
% 15.82/11.88 tff(34502,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2))))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34503,plain,
% 15.82/11.88 (v139(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34502, 2231])).
% 15.82/11.88 tff(34504,plain,
% 15.82/11.88 ((v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34505,plain,
% 15.82/11.88 (v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34504, 34473])).
% 15.82/11.88 tff(34506,plain,
% 15.82/11.88 ((~(v139(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2))))) | (~v139(constB5)) | (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34507,plain,
% 15.82/11.88 (~v139(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34506, 34505, 34503])).
% 15.82/11.88 tff(34508,plain,
% 15.82/11.88 (((~![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))))))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34509,plain,
% 15.82/11.88 ((v140(constB5) <=> (~(v88(constB5, bitIndex1) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex0))))) <=> (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34510,plain,
% 15.82/11.88 (((~![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))))))),
% 15.82/11.88 inference(monotonicity,[status(thm)],[34509])).
% 15.82/11.88 tff(34511,plain,
% 15.82/11.88 (((~![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))))))),
% 15.82/11.88 inference(transitivity,[status(thm)],[34510, 34508])).
% 15.82/11.88 tff(34512,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex1) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex0)))))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34513,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))),
% 15.82/11.88 inference(modus_ponens,[status(thm)],[34512, 34511])).
% 15.82/11.88 tff(34514,plain,
% 15.82/11.88 (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34513, 2250])).
% 15.82/11.88 tff(34515,plain,
% 15.82/11.88 ((v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))) | (~v88(constB5, bitIndex1))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34516,plain,
% 15.82/11.88 (v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34515, 34473])).
% 15.82/11.88 tff(34517,plain,
% 15.82/11.88 ((~(v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))) | (~v140(constB5)) | (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34518,plain,
% 15.82/11.88 (~v140(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34517, 34516, 34514])).
% 15.82/11.88 tff(34519,plain,
% 15.82/11.88 ((~(v139(constB5) | v140(constB5))) | v139(constB5) | v140(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34520,plain,
% 15.82/11.88 (~(v139(constB5) | v140(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34519, 34518, 34507])).
% 15.82/11.88 tff(34521,plain,
% 15.82/11.88 ((~(v170(constB5) <=> (v139(constB5) | v140(constB5)))) | (~v170(constB5)) | (v139(constB5) | v140(constB5))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34522,plain,
% 15.82/11.88 (~v170(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34521, 34520, 34501])).
% 15.82/11.88 tff(34523,plain,
% 15.82/11.88 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB5) | v170(constB5) | (~v169(constB5)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB5) | v170(constB5) | (~v169(constB5)))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34524,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB5) | v170(constB5) | (~v169(constB5)))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34525,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB5) | v170(constB5) | (~v169(constB5))),
% 15.82/11.88 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 15.82/11.88 tff(34526,plain,
% 15.82/11.88 (v141(constB5) | v170(constB5) | (~v169(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34525, 2278])).
% 15.82/11.88 tff(34527,plain,
% 15.82/11.88 (~v169(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34526, 34522, 34499])).
% 15.82/11.88 tff(34528,plain,
% 15.82/11.88 ((~(v162(constB5) <=> v169(constB5))) | (~v162(constB5)) | v169(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34529,plain,
% 15.82/11.88 ((~(v162(constB5) <=> v169(constB5))) | (~v162(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34528, 34527])).
% 15.82/11.88 tff(34530,plain,
% 15.82/11.88 (~v162(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34529, 34493])).
% 15.82/11.88 tff(34531,plain,
% 15.82/11.88 ((~(v160(constB5) <=> v162(constB5))) | (~v160(constB5)) | v162(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34532,plain,
% 15.82/11.88 ((~(v160(constB5) <=> v162(constB5))) | (~v160(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34531, 34530])).
% 15.82/11.88 tff(34533,plain,
% 15.82/11.88 (~v160(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34532, 34442])).
% 15.82/11.88 tff(34534,plain,
% 15.82/11.88 (((~v184(constB5)) | (~v160(constB5))) | v160(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34535,plain,
% 15.82/11.88 ((~v184(constB5)) | (~v160(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34534, 34533])).
% 15.82/11.88 tff(34536,plain,
% 15.82/11.88 ((~(v187(constB5) <=> (~((~v184(constB5)) | (~v160(constB5)))))) | (~v187(constB5)) | (~((~v184(constB5)) | (~v160(constB5))))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34537,plain,
% 15.82/11.88 (~v187(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34536, 34535, 34440])).
% 15.82/11.88 tff(34538,plain,
% 15.82/11.88 (((~v186(constB5)) | (~v187(constB5))) | v187(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34539,plain,
% 15.82/11.88 ((~v186(constB5)) | (~v187(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34538, 34537])).
% 15.82/11.88 tff(34540,plain,
% 15.82/11.88 ((~(v185(constB5) <=> (~((~v186(constB5)) | (~v187(constB5)))))) | (~v185(constB5)) | (~((~v186(constB5)) | (~v187(constB5))))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34541,plain,
% 15.82/11.88 (~v185(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34540, 34539, 34438])).
% 15.82/11.88 tff(34542,plain,
% 15.82/11.88 ((~(v181(constB5) | v185(constB5))) | v181(constB5) | v185(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34543,plain,
% 15.82/11.88 (~(v181(constB5) | v185(constB5))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34542, 34541, 34436])).
% 15.82/11.88 tff(34544,plain,
% 15.82/11.88 ((~(v178(constB5) <=> (v181(constB5) | v185(constB5)))) | (~v178(constB5)) | (v181(constB5) | v185(constB5))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34545,plain,
% 15.82/11.88 (~v178(constB5)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34544, 34543, 34363])).
% 15.82/11.88 tff(34546,plain,
% 15.82/11.88 ((~(v180(constB6) <=> v178(constB5))) | (~v180(constB6)) | v178(constB5)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34547,plain,
% 15.82/11.88 (~v180(constB6)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34546, 34545, 34361])).
% 15.82/11.88 tff(34548,plain,
% 15.82/11.88 ((~(v158(constB6) <=> v180(constB6))) | (~v158(constB6)) | v180(constB6)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34549,plain,
% 15.82/11.88 (~v158(constB6)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34548, 34547, 34357])).
% 15.82/11.88 tff(34550,plain,
% 15.82/11.88 (((~v158(constB6)) | (~v182(constB6))) | v158(constB6)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34551,plain,
% 15.82/11.88 ((~v158(constB6)) | (~v182(constB6))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34550, 34549])).
% 15.82/11.88 tff(34552,plain,
% 15.82/11.88 ((~(v181(constB6) <=> (~((~v158(constB6)) | (~v182(constB6)))))) | (~v181(constB6)) | (~((~v158(constB6)) | (~v182(constB6))))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34553,plain,
% 15.82/11.88 (~v181(constB6)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34552, 34551, 34355])).
% 15.82/11.88 tff(34554,plain,
% 15.82/11.88 ((~(v181(constB6) | v185(constB6))) | v181(constB6) | v185(constB6)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34555,plain,
% 15.82/11.88 (~(v181(constB6) | v185(constB6))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34554, 34553, 34348])).
% 15.82/11.88 tff(34556,plain,
% 15.82/11.88 ((~(v178(constB6) <=> (v181(constB6) | v185(constB6)))) | (~v178(constB6)) | (v181(constB6) | v185(constB6))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34557,plain,
% 15.82/11.88 (~v178(constB6)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34556, 34555, 34323])).
% 15.82/11.88 tff(34558,plain,
% 15.82/11.88 ((~(v180(constB7) <=> v178(constB6))) | (~v180(constB7)) | v178(constB6)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34559,plain,
% 15.82/11.88 (~v180(constB7)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34558, 34557, 34321])).
% 15.82/11.88 tff(34560,plain,
% 15.82/11.88 ((~(v158(constB7) <=> v180(constB7))) | (~v158(constB7)) | v180(constB7)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34561,plain,
% 15.82/11.88 (~v158(constB7)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34560, 34559, 34317])).
% 15.82/11.88 tff(34562,plain,
% 15.82/11.88 (((~v158(constB7)) | (~v206(constB7))) | v158(constB7)),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34563,plain,
% 15.82/11.88 ((~v158(constB7)) | (~v206(constB7))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34562, 34561])).
% 15.82/11.88 tff(34564,plain,
% 15.82/11.88 ((~(v205(constB7) <=> (~((~v158(constB7)) | (~v206(constB7)))))) | (~v205(constB7)) | (~((~v158(constB7)) | (~v206(constB7))))),
% 15.82/11.88 inference(tautology,[status(thm)],[])).
% 15.82/11.88 tff(34565,plain,
% 15.82/11.88 (~v205(constB7)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34564, 34563, 34315])).
% 15.82/11.88 tff(34566,plain,
% 15.82/11.88 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7))))))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34567,plain,
% 15.82/11.88 ((v209(constB7) <=> (~((~v206(constB7)) | (~v191(constB7))))) <=> (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7)))))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34568,plain,
% 15.82/11.88 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v206(constB7)) | (~v191(constB7)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7))))))),
% 15.82/11.88 inference(monotonicity,[status(thm)],[34567])).
% 15.82/11.88 tff(34569,plain,
% 15.82/11.88 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v206(constB7)) | (~v191(constB7)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7))))))),
% 15.82/11.88 inference(transitivity,[status(thm)],[34568, 34566])).
% 15.82/11.88 tff(34570,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v206(constB7)) | (~v191(constB7)))))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34571,plain,
% 15.82/11.88 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7)))))),
% 15.82/11.88 inference(modus_ponens,[status(thm)],[34570, 34569])).
% 15.82/11.88 tff(34572,plain,
% 15.82/11.88 (v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7))))),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34571, 47])).
% 15.82/11.88 tff(34573,plain,
% 15.82/11.88 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB7) <=> v196(constB7))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.88 tff(34574,plain,
% 15.82/11.88 (v191(constB7) <=> v196(constB7)),
% 15.82/11.88 inference(unit_resolution,[status(thm)],[34573, 64])).
% 15.82/11.88 tff(34575,plain,
% 15.82/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB6, constB7)) | (v196(constB7) <=> v194(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB6, constB7)) | (v196(constB7) <=> v194(constB6)))),
% 15.82/11.88 inference(rewrite,[status(thm)],[])).
% 15.82/11.88 tff(34576,plain,
% 15.82/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB6, constB7)) | (v196(constB7) <=> v194(constB6)))),
% 15.82/11.88 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34577,plain,
% 15.82/11.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB6, constB7)) | (v196(constB7) <=> v194(constB6))),
% 15.82/11.89 inference(modus_ponens,[status(thm)],[34576, 34575])).
% 15.82/11.89 tff(34578,plain,
% 15.82/11.89 (v196(constB7) <=> v194(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34577, 910, 76])).
% 15.82/11.89 tff(34579,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB6) <=> (v197(constB6) | v198(constB6)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34580,plain,
% 15.82/11.89 (v194(constB6) <=> (v197(constB6) | v198(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34579, 90])).
% 15.82/11.89 tff(34581,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB6) <=> (~((~v158(constB6)) | (~v199(constB6)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34582,plain,
% 15.82/11.89 (v198(constB6) <=> (~((~v158(constB6)) | (~v199(constB6))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34581, 102])).
% 15.82/11.89 tff(34583,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB6) <=> (~((~v186(constB6)) | (~v200(constB6)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34584,plain,
% 15.82/11.89 (v199(constB6) <=> (~((~v186(constB6)) | (~v200(constB6))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34583, 114])).
% 15.82/11.89 tff(34585,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB6) <=> (~((~v184(constB6)) | (~v84(constB6)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34586,plain,
% 15.82/11.89 (v200(constB6) <=> (~((~v184(constB6)) | (~v84(constB6))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34585, 126])).
% 15.82/11.89 tff(34587,plain,
% 15.82/11.89 (((~v184(constB6)) | (~v84(constB6))) | v184(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34588,plain,
% 15.82/11.89 ((~v184(constB6)) | (~v84(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34587, 34339])).
% 15.82/11.89 tff(34589,plain,
% 15.82/11.89 ((~(v200(constB6) <=> (~((~v184(constB6)) | (~v84(constB6)))))) | (~v200(constB6)) | (~((~v184(constB6)) | (~v84(constB6))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34590,plain,
% 15.82/11.89 ((~(v200(constB6) <=> (~((~v184(constB6)) | (~v84(constB6)))))) | (~v200(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34589, 34588])).
% 15.82/11.89 tff(34591,plain,
% 15.82/11.89 (~v200(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34590, 34586])).
% 15.82/11.89 tff(34592,plain,
% 15.82/11.89 (((~v186(constB6)) | (~v200(constB6))) | v200(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34593,plain,
% 15.82/11.89 ((~v186(constB6)) | (~v200(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34592, 34591])).
% 15.82/11.89 tff(34594,plain,
% 15.82/11.89 ((~(v199(constB6) <=> (~((~v186(constB6)) | (~v200(constB6)))))) | (~v199(constB6)) | (~((~v186(constB6)) | (~v200(constB6))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34595,plain,
% 15.82/11.89 (~v199(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34594, 34593, 34584])).
% 15.82/11.89 tff(34596,plain,
% 15.82/11.89 (((~v158(constB6)) | (~v199(constB6))) | v199(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34597,plain,
% 15.82/11.89 ((~v158(constB6)) | (~v199(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34596, 34595])).
% 15.82/11.89 tff(34598,plain,
% 15.82/11.89 ((~(v198(constB6) <=> (~((~v158(constB6)) | (~v199(constB6)))))) | (~v198(constB6)) | (~((~v158(constB6)) | (~v199(constB6))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34599,plain,
% 15.82/11.89 (~v198(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34598, 34597, 34582])).
% 15.82/11.89 tff(34600,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB6) <=> (~((~v182(constB6)) | (~v191(constB6)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34601,plain,
% 15.82/11.89 (v197(constB6) <=> (~((~v182(constB6)) | (~v191(constB6))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34600, 183])).
% 15.82/11.89 tff(34602,plain,
% 15.82/11.89 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB6) <=> v196(constB6))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34603,plain,
% 15.82/11.89 (v191(constB6) <=> v196(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34602, 64])).
% 15.82/11.89 tff(34604,plain,
% 15.82/11.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB5, constB6)) | (v196(constB6) <=> v194(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB5, constB6)) | (v196(constB6) <=> v194(constB5)))),
% 15.82/11.89 inference(rewrite,[status(thm)],[])).
% 15.82/11.89 tff(34605,plain,
% 15.82/11.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB5, constB6)) | (v196(constB6) <=> v194(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34606,plain,
% 15.82/11.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB5, constB6)) | (v196(constB6) <=> v194(constB5))),
% 15.82/11.89 inference(modus_ponens,[status(thm)],[34605, 34604])).
% 15.82/11.89 tff(34607,plain,
% 15.82/11.89 (v196(constB6) <=> v194(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34606, 942, 76])).
% 15.82/11.89 tff(34608,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB5) <=> (v197(constB5) | v198(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34609,plain,
% 15.82/11.89 (v194(constB5) <=> (v197(constB5) | v198(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34608, 90])).
% 15.82/11.89 tff(34610,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB5) <=> (~((~v182(constB5)) | (~v191(constB5)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34611,plain,
% 15.82/11.89 (v197(constB5) <=> (~((~v182(constB5)) | (~v191(constB5))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34610, 183])).
% 15.82/11.89 tff(34612,plain,
% 15.82/11.89 (((~v182(constB5)) | (~v191(constB5))) | v182(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34613,plain,
% 15.82/11.89 ((~v182(constB5)) | (~v191(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34612, 34432])).
% 15.82/11.89 tff(34614,plain,
% 15.82/11.89 ((~(v197(constB5) <=> (~((~v182(constB5)) | (~v191(constB5)))))) | (~v197(constB5)) | (~((~v182(constB5)) | (~v191(constB5))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34615,plain,
% 15.82/11.89 (~v197(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34614, 34613, 34611])).
% 15.82/11.89 tff(34616,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB5) <=> (~((~v158(constB5)) | (~v199(constB5)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34617,plain,
% 15.82/11.89 (v198(constB5) <=> (~((~v158(constB5)) | (~v199(constB5))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34616, 102])).
% 15.82/11.89 tff(34618,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB5) <=> (~((~v186(constB5)) | (~v200(constB5)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34619,plain,
% 15.82/11.89 (v199(constB5) <=> (~((~v186(constB5)) | (~v200(constB5))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34618, 114])).
% 15.82/11.89 tff(34620,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB5) <=> (~((~v184(constB5)) | (~v84(constB5)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34621,plain,
% 15.82/11.89 (v200(constB5) <=> (~((~v184(constB5)) | (~v84(constB5))))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34620, 126])).
% 15.82/11.89 tff(34622,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB5) <=> v86(constB5))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34623,plain,
% 15.82/11.89 (v84(constB5) <=> v86(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34622, 16262])).
% 15.82/11.89 tff(34624,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB5) <=> (v136(constB5) | v145(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34625,plain,
% 15.82/11.89 (v135(constB5) <=> (v136(constB5) | v145(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34624, 16271])).
% 15.82/11.89 tff(34626,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB5) <=> (v137(constB5) | v142(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34627,plain,
% 15.82/11.89 (v136(constB5) <=> (v137(constB5) | v142(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34626, 17279])).
% 15.82/11.89 tff(34628,plain,
% 15.82/11.89 ((v137(constB5) | v142(constB5)) | (~v142(constB5))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34629,plain,
% 15.82/11.89 (v137(constB5) | v142(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34628, 34481])).
% 15.82/11.89 tff(34630,plain,
% 15.82/11.89 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5) | (~(v137(constB5) | v142(constB5)))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34631,plain,
% 15.82/11.89 (v136(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34630, 34629, 34627])).
% 15.82/11.89 tff(34632,plain,
% 15.82/11.89 ((v136(constB5) | v145(constB5)) | (~v136(constB5))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34633,plain,
% 15.82/11.89 (v136(constB5) | v145(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34632, 34631])).
% 15.82/11.89 tff(34634,plain,
% 15.82/11.89 ((~(v135(constB5) <=> (v136(constB5) | v145(constB5)))) | v135(constB5) | (~(v136(constB5) | v145(constB5)))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34635,plain,
% 15.82/11.89 (v135(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34634, 34633, 34625])).
% 15.82/11.89 tff(34636,plain,
% 15.82/11.89 (((~![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)))),
% 15.82/11.89 inference(rewrite,[status(thm)],[])).
% 15.82/11.89 tff(34637,plain,
% 15.82/11.89 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34638,plain,
% 15.82/11.89 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5))),
% 15.82/11.89 inference(modus_ponens,[status(thm)],[34637, 34636])).
% 15.82/11.89 tff(34639,plain,
% 15.82/11.89 (v86(constB5) <=> v148(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34638, 16814, 34635])).
% 15.82/11.89 tff(34640,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB5) <=> (v142(constB5) | v151(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34641,plain,
% 15.82/11.89 (v149(constB5) <=> (v142(constB5) | v151(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34640, 16829])).
% 15.82/11.89 tff(34642,plain,
% 15.82/11.89 ((v142(constB5) | v151(constB5)) | (~v142(constB5))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34643,plain,
% 15.82/11.89 (v142(constB5) | v151(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34642, 34481])).
% 15.82/11.89 tff(34644,plain,
% 15.82/11.89 ((~(v149(constB5) <=> (v142(constB5) | v151(constB5)))) | v149(constB5) | (~(v142(constB5) | v151(constB5)))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34645,plain,
% 15.82/11.89 (v149(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34644, 34643, 34641])).
% 15.82/11.89 tff(34646,plain,
% 15.82/11.89 (((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | ((~v149(constB5)) | (~v148(constB5)))) <=> ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | (~v149(constB5)) | (~v148(constB5)))),
% 15.82/11.89 inference(rewrite,[status(thm)],[])).
% 15.82/11.89 tff(34647,plain,
% 15.82/11.89 ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | ((~v149(constB5)) | (~v148(constB5)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34648,plain,
% 15.82/11.89 ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | (~v149(constB5)) | (~v148(constB5))),
% 15.82/11.89 inference(modus_ponens,[status(thm)],[34647, 34646])).
% 15.82/11.89 tff(34649,plain,
% 15.82/11.89 (~v148(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34648, 17265, 34645])).
% 15.82/11.89 tff(34650,plain,
% 15.82/11.89 ((~(v86(constB5) <=> v148(constB5))) | (~v86(constB5)) | v148(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34651,plain,
% 15.82/11.89 ((~(v86(constB5) <=> v148(constB5))) | (~v86(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34650, 34649])).
% 15.82/11.89 tff(34652,plain,
% 15.82/11.89 (~v86(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34651, 34639])).
% 15.82/11.89 tff(34653,plain,
% 15.82/11.89 ((~(v84(constB5) <=> v86(constB5))) | (~v84(constB5)) | v86(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34654,plain,
% 15.82/11.89 ((~(v84(constB5) <=> v86(constB5))) | (~v84(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34653, 34652])).
% 15.82/11.89 tff(34655,plain,
% 15.82/11.89 (~v84(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34654, 34623])).
% 15.82/11.89 tff(34656,plain,
% 15.82/11.89 (((~v184(constB5)) | (~v84(constB5))) | v84(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34657,plain,
% 15.82/11.89 ((~v184(constB5)) | (~v84(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34656, 34655])).
% 15.82/11.89 tff(34658,plain,
% 15.82/11.89 ((~(v200(constB5) <=> (~((~v184(constB5)) | (~v84(constB5)))))) | (~v200(constB5)) | (~((~v184(constB5)) | (~v84(constB5))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34659,plain,
% 15.82/11.89 (~v200(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34658, 34657, 34621])).
% 15.82/11.89 tff(34660,plain,
% 15.82/11.89 (((~v186(constB5)) | (~v200(constB5))) | v200(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34661,plain,
% 15.82/11.89 ((~v186(constB5)) | (~v200(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34660, 34659])).
% 15.82/11.89 tff(34662,plain,
% 15.82/11.89 ((~(v199(constB5) <=> (~((~v186(constB5)) | (~v200(constB5)))))) | (~v199(constB5)) | (~((~v186(constB5)) | (~v200(constB5))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34663,plain,
% 15.82/11.89 (~v199(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34662, 34661, 34619])).
% 15.82/11.89 tff(34664,plain,
% 15.82/11.89 (((~v158(constB5)) | (~v199(constB5))) | v199(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34665,plain,
% 15.82/11.89 ((~v158(constB5)) | (~v199(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34664, 34663])).
% 15.82/11.89 tff(34666,plain,
% 15.82/11.89 ((~(v198(constB5) <=> (~((~v158(constB5)) | (~v199(constB5)))))) | (~v198(constB5)) | (~((~v158(constB5)) | (~v199(constB5))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34667,plain,
% 15.82/11.89 (~v198(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34666, 34665, 34617])).
% 15.82/11.89 tff(34668,plain,
% 15.82/11.89 ((~(v197(constB5) | v198(constB5))) | v197(constB5) | v198(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34669,plain,
% 15.82/11.89 (~(v197(constB5) | v198(constB5))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34668, 34667, 34615])).
% 15.82/11.89 tff(34670,plain,
% 15.82/11.89 ((~(v194(constB5) <=> (v197(constB5) | v198(constB5)))) | (~v194(constB5)) | (v197(constB5) | v198(constB5))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34671,plain,
% 15.82/11.89 (~v194(constB5)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34670, 34669, 34609])).
% 15.82/11.89 tff(34672,plain,
% 15.82/11.89 ((~(v196(constB6) <=> v194(constB5))) | (~v196(constB6)) | v194(constB5)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34673,plain,
% 15.82/11.89 (~v196(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34672, 34671, 34607])).
% 15.82/11.89 tff(34674,plain,
% 15.82/11.89 ((~(v191(constB6) <=> v196(constB6))) | (~v191(constB6)) | v196(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34675,plain,
% 15.82/11.89 (~v191(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34674, 34673, 34603])).
% 15.82/11.89 tff(34676,plain,
% 15.82/11.89 (((~v182(constB6)) | (~v191(constB6))) | v191(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34677,plain,
% 15.82/11.89 ((~v182(constB6)) | (~v191(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34676, 34675])).
% 15.82/11.89 tff(34678,plain,
% 15.82/11.89 ((~(v197(constB6) <=> (~((~v182(constB6)) | (~v191(constB6)))))) | (~v197(constB6)) | (~((~v182(constB6)) | (~v191(constB6))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34679,plain,
% 15.82/11.89 (~v197(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34678, 34677, 34601])).
% 15.82/11.89 tff(34680,plain,
% 15.82/11.89 ((~(v197(constB6) | v198(constB6))) | v197(constB6) | v198(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34681,plain,
% 15.82/11.89 (~(v197(constB6) | v198(constB6))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34680, 34679, 34599])).
% 15.82/11.89 tff(34682,plain,
% 15.82/11.89 ((~(v194(constB6) <=> (v197(constB6) | v198(constB6)))) | (~v194(constB6)) | (v197(constB6) | v198(constB6))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34683,plain,
% 15.82/11.89 (~v194(constB6)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34682, 34681, 34580])).
% 15.82/11.89 tff(34684,plain,
% 15.82/11.89 ((~(v196(constB7) <=> v194(constB6))) | (~v196(constB7)) | v194(constB6)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34685,plain,
% 15.82/11.89 (~v196(constB7)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34684, 34683, 34578])).
% 15.82/11.89 tff(34686,plain,
% 15.82/11.89 ((~(v191(constB7) <=> v196(constB7))) | (~v191(constB7)) | v196(constB7)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34687,plain,
% 15.82/11.89 (~v191(constB7)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34686, 34685, 34574])).
% 15.82/11.89 tff(34688,plain,
% 15.82/11.89 (((~v191(constB7)) | (~v206(constB7))) | v191(constB7)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34689,plain,
% 15.82/11.89 ((~v191(constB7)) | (~v206(constB7))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34688, 34687])).
% 15.82/11.89 tff(34690,plain,
% 15.82/11.89 ((~(v209(constB7) <=> (~((~v191(constB7)) | (~v206(constB7)))))) | (~v209(constB7)) | (~((~v191(constB7)) | (~v206(constB7))))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34691,plain,
% 15.82/11.89 (~v209(constB7)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34690, 34689, 34572])).
% 15.82/11.89 tff(34692,plain,
% 15.82/11.89 ((~(v205(constB7) | v209(constB7))) | v205(constB7) | v209(constB7)),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34693,plain,
% 15.82/11.89 (~(v205(constB7) | v209(constB7))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34692, 34691, 34565])).
% 15.82/11.89 tff(34694,plain,
% 15.82/11.89 ((~(v204(constB7) <=> (v205(constB7) | v209(constB7)))) | (~v204(constB7)) | (v205(constB7) | v209(constB7))),
% 15.82/11.89 inference(tautology,[status(thm)],[])).
% 15.82/11.89 tff(34695,plain,
% 15.82/11.89 (~v204(constB7)),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34694, 34693, 34308])).
% 15.82/11.89 tff(34696,plain,
% 15.82/11.89 ($false),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34695, 34306])).
% 15.82/11.89 tff(34697,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.82/11.89 tff(34698,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 15.82/11.89 tff(34699,plain,
% 15.82/11.89 (v204(constB139) <=> v204(VarCurr!0)),
% 15.82/11.89 inference(monotonicity,[status(thm)],[34698])).
% 15.82/11.89 tff(34700,plain,
% 15.82/11.89 (v204(VarCurr!0) <=> v204(constB139)),
% 15.82/11.89 inference(symmetry,[status(thm)],[34699])).
% 15.82/11.89 tff(34701,plain,
% 15.82/11.89 (v204(constB139)),
% 15.82/11.89 inference(modus_ponens,[status(thm)],[27, 34700])).
% 15.82/11.89 tff(34702,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB139) <=> (v205(constB139) | v209(constB139)))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.89 tff(34703,plain,
% 15.82/11.89 (v204(constB139) <=> (v205(constB139) | v209(constB139))),
% 15.82/11.89 inference(unit_resolution,[status(thm)],[34702, 35])).
% 15.82/11.89 tff(34704,plain,
% 15.82/11.89 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139))))))),
% 15.82/11.89 inference(rewrite,[status(thm)],[])).
% 15.82/11.89 tff(34705,plain,
% 15.82/11.89 ((v209(constB139) <=> (~((~v206(constB139)) | (~v191(constB139))))) <=> (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139)))))),
% 15.82/11.89 inference(rewrite,[status(thm)],[])).
% 15.82/11.89 tff(34706,plain,
% 15.82/11.89 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v206(constB139)) | (~v191(constB139)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139))))))),
% 15.82/11.89 inference(monotonicity,[status(thm)],[34705])).
% 15.82/11.89 tff(34707,plain,
% 15.82/11.89 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v206(constB139)) | (~v191(constB139)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139))))))),
% 15.82/11.89 inference(transitivity,[status(thm)],[34706, 34704])).
% 15.82/11.89 tff(34708,plain,
% 15.82/11.89 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v206(constB139)) | (~v191(constB139)))))),
% 15.82/11.89 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34709,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139)))))),
% 15.82/11.90 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 15.82/11.90 tff(34710,plain,
% 15.82/11.90 (v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34709, 47])).
% 15.82/11.90 tff(34711,plain,
% 15.82/11.90 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB139) <=> v196(constB139))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34712,plain,
% 15.82/11.90 (v191(constB139) <=> v196(constB139)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34711, 64])).
% 15.82/11.90 tff(34713,plain,
% 15.82/11.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB138, constB139)) | (v196(constB139) <=> v194(constB138)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB138, constB139)) | (v196(constB139) <=> v194(constB138)))),
% 15.82/11.90 inference(rewrite,[status(thm)],[])).
% 15.82/11.90 tff(34714,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB138, constB139)) | (v196(constB139) <=> v194(constB138)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34715,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB138, constB139)) | (v196(constB139) <=> v194(constB138))),
% 15.82/11.90 inference(modus_ponens,[status(thm)],[34714, 34713])).
% 15.82/11.90 tff(34716,plain,
% 15.82/11.90 (v196(constB139) <=> v194(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34715, 20425, 76])).
% 15.82/11.90 tff(34717,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB138) <=> (v197(constB138) | v198(constB138)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34718,plain,
% 15.82/11.90 (v194(constB138) <=> (v197(constB138) | v198(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34717, 90])).
% 15.82/11.90 tff(34719,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB138) <=> (~((~v158(constB138)) | (~v199(constB138)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34720,plain,
% 15.82/11.90 (v198(constB138) <=> (~((~v158(constB138)) | (~v199(constB138))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34719, 102])).
% 15.82/11.90 tff(34721,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB138) <=> (~((~v186(constB138)) | (~v200(constB138)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34722,plain,
% 15.82/11.90 (v199(constB138) <=> (~((~v186(constB138)) | (~v200(constB138))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34721, 114])).
% 15.82/11.90 tff(34723,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB138) <=> (~((~v184(constB138)) | (~v84(constB138)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34724,plain,
% 15.82/11.90 (v200(constB138) <=> (~((~v184(constB138)) | (~v84(constB138))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34723, 126])).
% 15.82/11.90 tff(34725,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34726,plain,
% 15.82/11.90 (v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34725, 138])).
% 15.82/11.90 tff(34727,plain,
% 15.82/11.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB138)) <=> v1(constB138))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34728,plain,
% 15.82/11.90 ((~v39(constB138)) <=> v1(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34727, 147])).
% 15.82/11.90 tff(34729,plain,
% 15.82/11.90 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138)) | (~v1(constB138))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34730,plain,
% 15.82/11.90 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34729, 20487])).
% 15.82/11.90 tff(34731,plain,
% 15.82/11.90 (~v39(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34730, 34728])).
% 15.82/11.90 tff(34732,plain,
% 15.82/11.90 (((~v39(constB138)) | (~v9(constB138))) | v39(constB138)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34733,plain,
% 15.82/11.90 ((~v39(constB138)) | (~v9(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34732, 34731])).
% 15.82/11.90 tff(34734,plain,
% 15.82/11.90 ((~(v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v184(constB138)) | (~((~v39(constB138)) | (~v9(constB138))))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34735,plain,
% 15.82/11.90 ((~(v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v184(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34734, 34733])).
% 15.82/11.90 tff(34736,plain,
% 15.82/11.90 (~v184(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34735, 34726])).
% 15.82/11.90 tff(34737,plain,
% 15.82/11.90 (((~v184(constB138)) | (~v84(constB138))) | v184(constB138)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34738,plain,
% 15.82/11.90 ((~v184(constB138)) | (~v84(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34737, 34736])).
% 15.82/11.90 tff(34739,plain,
% 15.82/11.90 ((~(v200(constB138) <=> (~((~v184(constB138)) | (~v84(constB138)))))) | (~v200(constB138)) | (~((~v184(constB138)) | (~v84(constB138))))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34740,plain,
% 15.82/11.90 ((~(v200(constB138) <=> (~((~v184(constB138)) | (~v84(constB138)))))) | (~v200(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34739, 34738])).
% 15.82/11.90 tff(34741,plain,
% 15.82/11.90 (~v200(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34740, 34724])).
% 15.82/11.90 tff(34742,plain,
% 15.82/11.90 (((~v186(constB138)) | (~v200(constB138))) | v200(constB138)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34743,plain,
% 15.82/11.90 ((~v186(constB138)) | (~v200(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34742, 34741])).
% 15.82/11.90 tff(34744,plain,
% 15.82/11.90 ((~(v199(constB138) <=> (~((~v186(constB138)) | (~v200(constB138)))))) | (~v199(constB138)) | (~((~v186(constB138)) | (~v200(constB138))))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34745,plain,
% 15.82/11.90 (~v199(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34744, 34743, 34722])).
% 15.82/11.90 tff(34746,plain,
% 15.82/11.90 (((~v158(constB138)) | (~v199(constB138))) | v199(constB138)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34747,plain,
% 15.82/11.90 ((~v158(constB138)) | (~v199(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34746, 34745])).
% 15.82/11.90 tff(34748,plain,
% 15.82/11.90 ((~(v198(constB138) <=> (~((~v158(constB138)) | (~v199(constB138)))))) | (~v198(constB138)) | (~((~v158(constB138)) | (~v199(constB138))))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34749,plain,
% 15.82/11.90 (~v198(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34748, 34747, 34720])).
% 15.82/11.90 tff(34750,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB138) <=> (~((~v182(constB138)) | (~v191(constB138)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34751,plain,
% 15.82/11.90 (v197(constB138) <=> (~((~v182(constB138)) | (~v191(constB138))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34750, 183])).
% 15.82/11.90 tff(34752,plain,
% 15.82/11.90 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB138) <=> v196(constB138))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34753,plain,
% 15.82/11.90 (v191(constB138) <=> v196(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34752, 64])).
% 15.82/11.90 tff(34754,plain,
% 15.82/11.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB137, constB138)) | (v196(constB138) <=> v194(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB137, constB138)) | (v196(constB138) <=> v194(constB137)))),
% 15.82/11.90 inference(rewrite,[status(thm)],[])).
% 15.82/11.90 tff(34755,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB137, constB138)) | (v196(constB138) <=> v194(constB137)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34756,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB137, constB138)) | (v196(constB138) <=> v194(constB137))),
% 15.82/11.90 inference(modus_ponens,[status(thm)],[34755, 34754])).
% 15.82/11.90 tff(34757,plain,
% 15.82/11.90 (v196(constB138) <=> v194(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34756, 20457, 76])).
% 15.82/11.90 tff(34758,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB137) <=> (v197(constB137) | v198(constB137)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34759,plain,
% 15.82/11.90 (v194(constB137) <=> (v197(constB137) | v198(constB137))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34758, 90])).
% 15.82/11.90 tff(34760,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB137) <=> (~((~v182(constB137)) | (~v191(constB137)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34761,plain,
% 15.82/11.90 (v197(constB137) <=> (~((~v182(constB137)) | (~v191(constB137))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34760, 183])).
% 15.82/11.90 tff(34762,plain,
% 15.82/11.90 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB137)) <=> v183(constB137))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34763,plain,
% 15.82/11.90 ((~v182(constB137)) <=> v183(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34762, 205])).
% 15.82/11.90 tff(34764,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB137) <=> (v184(constB137) | v26(constB137)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34765,plain,
% 15.82/11.90 (v183(constB137) <=> (v184(constB137) | v26(constB137))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34764, 214])).
% 15.82/11.90 tff(34766,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34767,plain,
% 15.82/11.90 (v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34766, 138])).
% 15.82/11.90 tff(34768,plain,
% 15.82/11.90 (((~![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)))),
% 15.82/11.90 inference(rewrite,[status(thm)],[])).
% 15.82/11.90 tff(34769,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34770,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137))),
% 15.82/11.90 inference(modus_ponens,[status(thm)],[34769, 34768])).
% 15.82/11.90 tff(34771,plain,
% 15.82/11.90 (v13(constB138) <=> v9(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34770, 20457, 228])).
% 15.82/11.90 tff(34772,plain,
% 15.82/11.90 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB138) <=> v13(constB138))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34773,plain,
% 15.82/11.90 (v6(constB138) <=> v13(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34772, 242])).
% 15.82/11.90 tff(34774,plain,
% 15.82/11.90 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB138)) <=> v6(constB138))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34775,plain,
% 15.82/11.90 ((~v21(constB138)) <=> v6(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34774, 251])).
% 15.82/11.90 tff(34776,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB138) <=> (v20(constB138) | v21(constB138)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34777,plain,
% 15.82/11.90 (v19(constB138) <=> (v20(constB138) | v21(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34776, 260])).
% 15.82/11.90 tff(34778,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34779,plain,
% 15.82/11.90 (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34778, 272])).
% 15.82/11.90 tff(34780,plain,
% 15.82/11.90 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB138)) <=> v18(constB138))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34781,plain,
% 15.82/11.90 ((~v4(constB138)) <=> v18(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34780, 281])).
% 15.82/11.90 tff(34782,plain,
% 15.82/11.90 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB138)),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34783,plain,
% 15.82/11.90 (v4(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34782, 290])).
% 15.82/11.90 tff(34784,plain,
% 15.82/11.90 ((~((~v4(constB138)) <=> v18(constB138))) | (~v4(constB138)) | (~v18(constB138))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34785,plain,
% 15.82/11.90 (~v18(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34784, 34783, 34781])).
% 15.82/11.90 tff(34786,plain,
% 15.82/11.90 ((~(v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))) | v18(constB138) | ((~v19(constB138)) | (~v22(constB138)))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34787,plain,
% 15.82/11.90 ((~v19(constB138)) | (~v22(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34786, 34785, 34779])).
% 15.82/11.90 tff(34788,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB138) <=> (v1(constB138) | v6(constB138)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34789,plain,
% 15.82/11.90 (v22(constB138) <=> (v1(constB138) | v6(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34788, 303])).
% 15.82/11.90 tff(34790,plain,
% 15.82/11.90 ((v1(constB138) | v6(constB138)) | (~v1(constB138))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34791,plain,
% 15.82/11.90 (v1(constB138) | v6(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34790, 20487])).
% 15.82/11.90 tff(34792,plain,
% 15.82/11.90 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138) | (~(v1(constB138) | v6(constB138)))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34793,plain,
% 15.82/11.90 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34792, 34791])).
% 15.82/11.90 tff(34794,plain,
% 15.82/11.90 (v22(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34793, 34789])).
% 15.82/11.90 tff(34795,plain,
% 15.82/11.90 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138)) | (~v22(constB138))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34796,plain,
% 15.82/11.90 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34795, 34794])).
% 15.82/11.90 tff(34797,plain,
% 15.82/11.90 (~v19(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34796, 34787])).
% 15.82/11.90 tff(34798,plain,
% 15.82/11.90 ((~(v19(constB138) <=> (v20(constB138) | v21(constB138)))) | v19(constB138) | (~(v20(constB138) | v21(constB138)))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34799,plain,
% 15.82/11.90 (~(v20(constB138) | v21(constB138))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34798, 34797, 34777])).
% 15.82/11.90 tff(34800,plain,
% 15.82/11.90 ((v20(constB138) | v21(constB138)) | (~v21(constB138))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34801,plain,
% 15.82/11.90 (~v21(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34800, 34799])).
% 15.82/11.90 tff(34802,plain,
% 15.82/11.90 ((~((~v21(constB138)) <=> v6(constB138))) | v21(constB138) | v6(constB138)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34803,plain,
% 15.82/11.90 (v6(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34802, 34801, 34775])).
% 15.82/11.90 tff(34804,plain,
% 15.82/11.90 ((~(v6(constB138) <=> v13(constB138))) | (~v6(constB138)) | v13(constB138)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34805,plain,
% 15.82/11.90 (v13(constB138)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34804, 34803, 34773])).
% 15.82/11.90 tff(34806,plain,
% 15.82/11.90 ((~(v13(constB138) <=> v9(constB137))) | (~v13(constB138)) | v9(constB137)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34807,plain,
% 15.82/11.90 (v9(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34806, 34805, 34771])).
% 15.82/11.90 tff(34808,plain,
% 15.82/11.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB137)) <=> v1(constB137))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34809,plain,
% 15.82/11.90 ((~v39(constB137)) <=> v1(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34808, 147])).
% 15.82/11.90 tff(34810,plain,
% 15.82/11.90 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137) | v1(constB137)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34811,plain,
% 15.82/11.90 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34810, 20479])).
% 15.82/11.90 tff(34812,plain,
% 15.82/11.90 (v39(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34811, 34809])).
% 15.82/11.90 tff(34813,plain,
% 15.82/11.90 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v39(constB137)) | (~v9(constB137))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34814,plain,
% 15.82/11.90 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v9(constB137))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34813, 34812])).
% 15.82/11.90 tff(34815,plain,
% 15.82/11.90 (~((~v39(constB137)) | (~v9(constB137)))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34814, 34807])).
% 15.82/11.90 tff(34816,plain,
% 15.82/11.90 ((~(v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))) | v184(constB137) | ((~v39(constB137)) | (~v9(constB137)))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34817,plain,
% 15.82/11.90 (v184(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34816, 34815, 34767])).
% 15.82/11.90 tff(34818,plain,
% 15.82/11.90 ((v184(constB137) | v26(constB137)) | (~v184(constB137))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34819,plain,
% 15.82/11.90 (v184(constB137) | v26(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34818, 34817])).
% 15.82/11.90 tff(34820,plain,
% 15.82/11.90 ((~(v183(constB137) <=> (v184(constB137) | v26(constB137)))) | v183(constB137) | (~(v184(constB137) | v26(constB137)))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34821,plain,
% 15.82/11.90 (v183(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34820, 34819, 34765])).
% 15.82/11.90 tff(34822,plain,
% 15.82/11.90 ((~((~v182(constB137)) <=> v183(constB137))) | (~v182(constB137)) | (~v183(constB137))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34823,plain,
% 15.82/11.90 (~v182(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34822, 34821, 34763])).
% 15.82/11.90 tff(34824,plain,
% 15.82/11.90 (((~v182(constB137)) | (~v191(constB137))) | v182(constB137)),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34825,plain,
% 15.82/11.90 ((~v182(constB137)) | (~v191(constB137))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34824, 34823])).
% 15.82/11.90 tff(34826,plain,
% 15.82/11.90 ((~(v197(constB137) <=> (~((~v182(constB137)) | (~v191(constB137)))))) | (~v197(constB137)) | (~((~v182(constB137)) | (~v191(constB137))))),
% 15.82/11.90 inference(tautology,[status(thm)],[])).
% 15.82/11.90 tff(34827,plain,
% 15.82/11.90 (~v197(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34826, 34825, 34761])).
% 15.82/11.90 tff(34828,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB137) <=> (~((~v158(constB137)) | (~v199(constB137)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34829,plain,
% 15.82/11.90 (v198(constB137) <=> (~((~v158(constB137)) | (~v199(constB137))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34828, 102])).
% 15.82/11.90 tff(34830,plain,
% 15.82/11.90 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB137) <=> v180(constB137))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34831,plain,
% 15.82/11.90 (v158(constB137) <=> v180(constB137)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34830, 358])).
% 15.82/11.90 tff(34832,plain,
% 15.82/11.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB136, constB137)) | (v180(constB137) <=> v178(constB136)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB136, constB137)) | (v180(constB137) <=> v178(constB136)))),
% 15.82/11.90 inference(rewrite,[status(thm)],[])).
% 15.82/11.90 tff(34833,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB136, constB137)) | (v180(constB137) <=> v178(constB136)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34834,plain,
% 15.82/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB136, constB137)) | (v180(constB137) <=> v178(constB136))),
% 15.82/11.90 inference(modus_ponens,[status(thm)],[34833, 34832])).
% 15.82/11.90 tff(34835,plain,
% 15.82/11.90 (v180(constB137) <=> v178(constB136)),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34834, 20520, 370])).
% 15.82/11.90 tff(34836,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB136) <=> (v181(constB136) | v185(constB136)))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34837,plain,
% 15.82/11.90 (v178(constB136) <=> (v181(constB136) | v185(constB136))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34836, 384])).
% 15.82/11.90 tff(34838,plain,
% 15.82/11.90 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB136) <=> (~((~v186(constB136)) | (~v187(constB136)))))),
% 15.82/11.90 inference(quant_inst,[status(thm)],[])).
% 15.82/11.90 tff(34839,plain,
% 15.82/11.90 (v185(constB136) <=> (~((~v186(constB136)) | (~v187(constB136))))),
% 15.82/11.90 inference(unit_resolution,[status(thm)],[34838, 396])).
% 15.82/11.91 tff(34840,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB136) <=> (~((~v184(constB136)) | (~v160(constB136)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34841,plain,
% 15.82/11.91 (v187(constB136) <=> (~((~v184(constB136)) | (~v160(constB136))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34840, 408])).
% 15.82/11.91 tff(34842,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34843,plain,
% 15.82/11.91 (v184(constB136) <=> (~((~v39(constB136)) | (~v9(constB136))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34842, 138])).
% 15.82/11.91 tff(34844,plain,
% 15.82/11.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB136)) <=> v1(constB136))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34845,plain,
% 15.82/11.91 ((~v39(constB136)) <=> v1(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34844, 147])).
% 15.82/11.91 tff(34846,plain,
% 15.82/11.91 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136)) | (~v1(constB136))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34847,plain,
% 15.82/11.91 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34846, 20582])).
% 15.82/11.91 tff(34848,plain,
% 15.82/11.91 (~v39(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34847, 34845])).
% 15.82/11.91 tff(34849,plain,
% 15.82/11.91 (((~v39(constB136)) | (~v9(constB136))) | v39(constB136)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34850,plain,
% 15.82/11.91 ((~v39(constB136)) | (~v9(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34849, 34848])).
% 15.82/11.91 tff(34851,plain,
% 15.82/11.91 ((~(v184(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v184(constB136)) | (~((~v39(constB136)) | (~v9(constB136))))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34852,plain,
% 15.82/11.91 ((~(v184(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v184(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34851, 34850])).
% 15.82/11.91 tff(34853,plain,
% 15.82/11.91 (~v184(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34852, 34843])).
% 15.82/11.91 tff(34854,plain,
% 15.82/11.91 (((~v184(constB136)) | (~v160(constB136))) | v184(constB136)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34855,plain,
% 15.82/11.91 ((~v184(constB136)) | (~v160(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34854, 34853])).
% 15.82/11.91 tff(34856,plain,
% 15.82/11.91 ((~(v187(constB136) <=> (~((~v184(constB136)) | (~v160(constB136)))))) | (~v187(constB136)) | (~((~v184(constB136)) | (~v160(constB136))))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34857,plain,
% 15.82/11.91 ((~(v187(constB136) <=> (~((~v184(constB136)) | (~v160(constB136)))))) | (~v187(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34856, 34855])).
% 15.82/11.91 tff(34858,plain,
% 15.82/11.91 (~v187(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34857, 34841])).
% 15.82/11.91 tff(34859,plain,
% 15.82/11.91 (((~v186(constB136)) | (~v187(constB136))) | v187(constB136)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34860,plain,
% 15.82/11.91 ((~v186(constB136)) | (~v187(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34859, 34858])).
% 15.82/11.91 tff(34861,plain,
% 15.82/11.91 ((~(v185(constB136) <=> (~((~v186(constB136)) | (~v187(constB136)))))) | (~v185(constB136)) | (~((~v186(constB136)) | (~v187(constB136))))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34862,plain,
% 15.82/11.91 (~v185(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34861, 34860, 34839])).
% 15.82/11.91 tff(34863,plain,
% 15.82/11.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136))))))),
% 15.82/11.91 inference(rewrite,[status(thm)],[])).
% 15.82/11.91 tff(34864,plain,
% 15.82/11.91 ((v181(constB136) <=> (~((~v182(constB136)) | (~v158(constB136))))) <=> (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136)))))),
% 15.82/11.91 inference(rewrite,[status(thm)],[])).
% 15.82/11.91 tff(34865,plain,
% 15.82/11.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v182(constB136)) | (~v158(constB136)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136))))))),
% 15.82/11.91 inference(monotonicity,[status(thm)],[34864])).
% 15.82/11.91 tff(34866,plain,
% 15.82/11.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v182(constB136)) | (~v158(constB136)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136))))))),
% 15.82/11.91 inference(transitivity,[status(thm)],[34865, 34863])).
% 15.82/11.91 tff(34867,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v182(constB136)) | (~v158(constB136)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34868,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136)))))),
% 15.82/11.91 inference(modus_ponens,[status(thm)],[34867, 34866])).
% 15.82/11.91 tff(34869,plain,
% 15.82/11.91 (v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34868, 444])).
% 15.82/11.91 tff(34870,plain,
% 15.82/11.91 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB136) <=> v180(constB136))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34871,plain,
% 15.82/11.91 (v158(constB136) <=> v180(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34870, 358])).
% 15.82/11.91 tff(34872,plain,
% 15.82/11.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB135, constB136)) | (v180(constB136) <=> v178(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB135, constB136)) | (v180(constB136) <=> v178(constB135)))),
% 15.82/11.91 inference(rewrite,[status(thm)],[])).
% 15.82/11.91 tff(34873,plain,
% 15.82/11.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB135, constB136)) | (v180(constB136) <=> v178(constB135)))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34874,plain,
% 15.82/11.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB135, constB136)) | (v180(constB136) <=> v178(constB135))),
% 15.82/11.91 inference(modus_ponens,[status(thm)],[34873, 34872])).
% 15.82/11.91 tff(34875,plain,
% 15.82/11.91 (v180(constB136) <=> v178(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34874, 20552, 370])).
% 15.82/11.91 tff(34876,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB135) <=> (v181(constB135) | v185(constB135)))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34877,plain,
% 15.82/11.91 (v178(constB135) <=> (v181(constB135) | v185(constB135))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34876, 384])).
% 15.82/11.91 tff(34878,plain,
% 15.82/11.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135))))))),
% 15.82/11.91 inference(rewrite,[status(thm)],[])).
% 15.82/11.91 tff(34879,plain,
% 15.82/11.91 ((v181(constB135) <=> (~((~v182(constB135)) | (~v158(constB135))))) <=> (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135)))))),
% 15.82/11.91 inference(rewrite,[status(thm)],[])).
% 15.82/11.91 tff(34880,plain,
% 15.82/11.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v182(constB135)) | (~v158(constB135)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135))))))),
% 15.82/11.91 inference(monotonicity,[status(thm)],[34879])).
% 15.82/11.91 tff(34881,plain,
% 15.82/11.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v182(constB135)) | (~v158(constB135)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135))))))),
% 15.82/11.91 inference(transitivity,[status(thm)],[34880, 34878])).
% 15.82/11.91 tff(34882,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v182(constB135)) | (~v158(constB135)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34883,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135)))))),
% 15.82/11.91 inference(modus_ponens,[status(thm)],[34882, 34881])).
% 15.82/11.91 tff(34884,plain,
% 15.82/11.91 (v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34883, 444])).
% 15.82/11.91 tff(34885,plain,
% 15.82/11.91 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB135)) <=> v183(constB135))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34886,plain,
% 15.82/11.91 ((~v182(constB135)) <=> v183(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34885, 205])).
% 15.82/11.91 tff(34887,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB135) <=> (v184(constB135) | v26(constB135)))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34888,plain,
% 15.82/11.91 (v183(constB135) <=> (v184(constB135) | v26(constB135))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34887, 214])).
% 15.82/11.91 tff(34889,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34890,plain,
% 15.82/11.91 (v184(constB135) <=> (~((~v39(constB135)) | (~v9(constB135))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34889, 138])).
% 15.82/11.91 tff(34891,plain,
% 15.82/11.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 15.82/11.91 inference(rewrite,[status(thm)],[])).
% 15.82/11.91 tff(34892,plain,
% 15.82/11.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34893,plain,
% 15.82/11.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135))),
% 15.82/11.91 inference(modus_ponens,[status(thm)],[34892, 34891])).
% 15.82/11.91 tff(34894,plain,
% 15.82/11.91 (v13(constB136) <=> v9(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34893, 20552, 228])).
% 15.82/11.91 tff(34895,plain,
% 15.82/11.91 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB136) <=> v13(constB136))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34896,plain,
% 15.82/11.91 (v6(constB136) <=> v13(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34895, 242])).
% 15.82/11.91 tff(34897,plain,
% 15.82/11.91 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB136)) <=> v6(constB136))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34898,plain,
% 15.82/11.91 ((~v21(constB136)) <=> v6(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34897, 251])).
% 15.82/11.91 tff(34899,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB136) <=> (v20(constB136) | v21(constB136)))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34900,plain,
% 15.82/11.91 (v19(constB136) <=> (v20(constB136) | v21(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34899, 260])).
% 15.82/11.91 tff(34901,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34902,plain,
% 15.82/11.91 (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34901, 272])).
% 15.82/11.91 tff(34903,plain,
% 15.82/11.91 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB136)) <=> v18(constB136))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34904,plain,
% 15.82/11.91 ((~v4(constB136)) <=> v18(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34903, 281])).
% 15.82/11.91 tff(34905,plain,
% 15.82/11.91 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB136)),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34906,plain,
% 15.82/11.91 (v4(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34905, 290])).
% 15.82/11.91 tff(34907,plain,
% 15.82/11.91 ((~((~v4(constB136)) <=> v18(constB136))) | (~v4(constB136)) | (~v18(constB136))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34908,plain,
% 15.82/11.91 (~v18(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34907, 34906, 34904])).
% 15.82/11.91 tff(34909,plain,
% 15.82/11.91 ((~(v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))) | v18(constB136) | ((~v19(constB136)) | (~v22(constB136)))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34910,plain,
% 15.82/11.91 ((~v19(constB136)) | (~v22(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34909, 34908, 34902])).
% 15.82/11.91 tff(34911,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB136) <=> (v1(constB136) | v6(constB136)))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34912,plain,
% 15.82/11.91 (v22(constB136) <=> (v1(constB136) | v6(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34911, 303])).
% 15.82/11.91 tff(34913,plain,
% 15.82/11.91 ((v1(constB136) | v6(constB136)) | (~v1(constB136))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34914,plain,
% 15.82/11.91 (v1(constB136) | v6(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34913, 20582])).
% 15.82/11.91 tff(34915,plain,
% 15.82/11.91 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136) | (~(v1(constB136) | v6(constB136)))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34916,plain,
% 15.82/11.91 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34915, 34914])).
% 15.82/11.91 tff(34917,plain,
% 15.82/11.91 (v22(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34916, 34912])).
% 15.82/11.91 tff(34918,plain,
% 15.82/11.91 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136)) | (~v22(constB136))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34919,plain,
% 15.82/11.91 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34918, 34917])).
% 15.82/11.91 tff(34920,plain,
% 15.82/11.91 (~v19(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34919, 34910])).
% 15.82/11.91 tff(34921,plain,
% 15.82/11.91 ((~(v19(constB136) <=> (v20(constB136) | v21(constB136)))) | v19(constB136) | (~(v20(constB136) | v21(constB136)))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34922,plain,
% 15.82/11.91 (~(v20(constB136) | v21(constB136))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34921, 34920, 34900])).
% 15.82/11.91 tff(34923,plain,
% 15.82/11.91 ((v20(constB136) | v21(constB136)) | (~v21(constB136))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34924,plain,
% 15.82/11.91 (~v21(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34923, 34922])).
% 15.82/11.91 tff(34925,plain,
% 15.82/11.91 ((~((~v21(constB136)) <=> v6(constB136))) | v21(constB136) | v6(constB136)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34926,plain,
% 15.82/11.91 (v6(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34925, 34924, 34898])).
% 15.82/11.91 tff(34927,plain,
% 15.82/11.91 ((~(v6(constB136) <=> v13(constB136))) | (~v6(constB136)) | v13(constB136)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34928,plain,
% 15.82/11.91 (v13(constB136)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34927, 34926, 34896])).
% 15.82/11.91 tff(34929,plain,
% 15.82/11.91 ((~(v13(constB136) <=> v9(constB135))) | (~v13(constB136)) | v9(constB135)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34930,plain,
% 15.82/11.91 (v9(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34929, 34928, 34894])).
% 15.82/11.91 tff(34931,plain,
% 15.82/11.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB135)) <=> v1(constB135))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34932,plain,
% 15.82/11.91 ((~v39(constB135)) <=> v1(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34931, 147])).
% 15.82/11.91 tff(34933,plain,
% 15.82/11.91 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135) | v1(constB135)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34934,plain,
% 15.82/11.91 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34933, 20574])).
% 15.82/11.91 tff(34935,plain,
% 15.82/11.91 (v39(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34934, 34932])).
% 15.82/11.91 tff(34936,plain,
% 15.82/11.91 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v39(constB135)) | (~v9(constB135))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34937,plain,
% 15.82/11.91 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v9(constB135))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34936, 34935])).
% 15.82/11.91 tff(34938,plain,
% 15.82/11.91 (~((~v39(constB135)) | (~v9(constB135)))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34937, 34930])).
% 15.82/11.91 tff(34939,plain,
% 15.82/11.91 ((~(v184(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))) | v184(constB135) | ((~v39(constB135)) | (~v9(constB135)))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34940,plain,
% 15.82/11.91 (v184(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34939, 34938, 34890])).
% 15.82/11.91 tff(34941,plain,
% 15.82/11.91 ((v184(constB135) | v26(constB135)) | (~v184(constB135))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34942,plain,
% 15.82/11.91 (v184(constB135) | v26(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34941, 34940])).
% 15.82/11.91 tff(34943,plain,
% 15.82/11.91 ((~(v183(constB135) <=> (v184(constB135) | v26(constB135)))) | v183(constB135) | (~(v184(constB135) | v26(constB135)))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34944,plain,
% 15.82/11.91 (v183(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34943, 34942, 34888])).
% 15.82/11.91 tff(34945,plain,
% 15.82/11.91 ((~((~v182(constB135)) <=> v183(constB135))) | (~v182(constB135)) | (~v183(constB135))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34946,plain,
% 15.82/11.91 (~v182(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34945, 34944, 34886])).
% 15.82/11.91 tff(34947,plain,
% 15.82/11.91 (((~v158(constB135)) | (~v182(constB135))) | v182(constB135)),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34948,plain,
% 15.82/11.91 ((~v158(constB135)) | (~v182(constB135))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34947, 34946])).
% 15.82/11.91 tff(34949,plain,
% 15.82/11.91 ((~(v181(constB135) <=> (~((~v158(constB135)) | (~v182(constB135)))))) | (~v181(constB135)) | (~((~v158(constB135)) | (~v182(constB135))))),
% 15.82/11.91 inference(tautology,[status(thm)],[])).
% 15.82/11.91 tff(34950,plain,
% 15.82/11.91 (~v181(constB135)),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34949, 34948, 34884])).
% 15.82/11.91 tff(34951,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB135) <=> (~((~v186(constB135)) | (~v187(constB135)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.91 tff(34952,plain,
% 15.82/11.91 (v185(constB135) <=> (~((~v186(constB135)) | (~v187(constB135))))),
% 15.82/11.91 inference(unit_resolution,[status(thm)],[34951, 396])).
% 15.82/11.91 tff(34953,plain,
% 15.82/11.91 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB135) <=> (~((~v184(constB135)) | (~v160(constB135)))))),
% 15.82/11.91 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34954,plain,
% 15.82/11.92 (v187(constB135) <=> (~((~v184(constB135)) | (~v160(constB135))))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34953, 408])).
% 15.82/11.92 tff(34955,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB135) <=> v162(constB135))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34956,plain,
% 15.82/11.92 (v160(constB135) <=> v162(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34955, 549])).
% 15.82/11.92 tff(34957,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB135) <=> (v139(constB135) | v140(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34958,plain,
% 15.82/11.92 (v170(constB135) <=> (v139(constB135) | v140(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34957, 2216])).
% 15.82/11.92 tff(34959,plain,
% 15.82/11.92 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0))))))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(34960,plain,
% 15.82/11.92 ((v140(constB135) <=> (~(v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0))))) <=> (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(34961,plain,
% 15.82/11.92 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0))))))),
% 15.82/11.92 inference(monotonicity,[status(thm)],[34960])).
% 15.82/11.92 tff(34962,plain,
% 15.82/11.92 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0))))))),
% 15.82/11.92 inference(transitivity,[status(thm)],[34961, 34959])).
% 15.82/11.92 tff(34963,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)))))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34964,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))))),
% 15.82/11.92 inference(modus_ponens,[status(thm)],[34963, 34962])).
% 15.82/11.92 tff(34965,plain,
% 15.82/11.92 (v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0))))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34964, 2250])).
% 15.82/11.92 tff(34966,plain,
% 15.82/11.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(34967,plain,
% 15.82/11.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34968,plain,
% 15.82/11.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2))),
% 15.82/11.92 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 15.82/11.92 tff(34969,plain,
% 15.82/11.92 (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34968, 579, 576])).
% 15.82/11.92 tff(34970,plain,
% 15.82/11.92 ((~(v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2))) | (~v88(constB135, bitIndex2)) | v90(constB135, bitIndex2)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34971,plain,
% 15.82/11.92 (~v88(constB135, bitIndex2)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34970, 21809, 34969])).
% 15.82/11.92 tff(34972,plain,
% 15.82/11.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(34973,plain,
% 15.82/11.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34974,plain,
% 15.82/11.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0))),
% 15.82/11.92 inference(modus_ponens,[status(thm)],[34973, 34972])).
% 15.82/11.92 tff(34975,plain,
% 15.82/11.92 (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34974, 1275, 576])).
% 15.82/11.92 tff(34976,plain,
% 15.82/11.92 ((~(v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0))) | v88(constB135, bitIndex0) | (~v90(constB135, bitIndex0))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34977,plain,
% 15.82/11.92 (v88(constB135, bitIndex0)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34976, 21840, 34975])).
% 15.82/11.92 tff(34978,plain,
% 15.82/11.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(34979,plain,
% 15.82/11.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34980,plain,
% 15.82/11.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1))),
% 15.82/11.92 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 15.82/11.92 tff(34981,plain,
% 15.82/11.92 (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34980, 1288, 576])).
% 15.82/11.92 tff(34982,plain,
% 15.82/11.92 ((~(v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1))) | (~v88(constB135, bitIndex1)) | v90(constB135, bitIndex1)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34983,plain,
% 15.82/11.92 (~v88(constB135, bitIndex1)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34982, 21871, 34981])).
% 15.82/11.92 tff(34984,plain,
% 15.82/11.92 ((~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34985,plain,
% 15.82/11.92 (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34984, 34983, 34977, 34971])).
% 15.82/11.92 tff(34986,plain,
% 15.82/11.92 ((~(v140(constB135) <=> (~(v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))))) | v140(constB135) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34987,plain,
% 15.82/11.92 (v140(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34986, 34985, 34965])).
% 15.82/11.92 tff(34988,plain,
% 15.82/11.92 ((v139(constB135) | v140(constB135)) | (~v140(constB135))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34989,plain,
% 15.82/11.92 (v139(constB135) | v140(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34988, 34987])).
% 15.82/11.92 tff(34990,plain,
% 15.82/11.92 ((~(v170(constB135) <=> (v139(constB135) | v140(constB135)))) | v170(constB135) | (~(v139(constB135) | v140(constB135)))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(34991,plain,
% 15.82/11.92 (v170(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34990, 34989, 34958])).
% 15.82/11.92 tff(34992,plain,
% 15.82/11.92 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB135)) | (~v169(constB135)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB135)) | (~v169(constB135)))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(34993,plain,
% 15.82/11.92 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB135)) | (~v169(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34994,plain,
% 15.82/11.92 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB135)) | (~v169(constB135))),
% 15.82/11.92 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 15.82/11.92 tff(34995,plain,
% 15.82/11.92 ((~v170(constB135)) | (~v169(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34994, 18673])).
% 15.82/11.92 tff(34996,plain,
% 15.82/11.92 (~v169(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34995, 34991])).
% 15.82/11.92 tff(34997,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB135) <=> (v145(constB135) | v166(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(34998,plain,
% 15.82/11.92 (v165(constB135) <=> (v145(constB135) | v166(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34997, 2293])).
% 15.82/11.92 tff(34999,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB135) <=> (v142(constB135) | v167(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(35000,plain,
% 15.82/11.92 (v166(constB135) <=> (v142(constB135) | v167(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[34999, 2804])).
% 15.82/11.92 tff(35001,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB135) <=> (v141(constB135) | v168(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(35002,plain,
% 15.82/11.92 (v167(constB135) <=> (v141(constB135) | v168(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35001, 18692])).
% 15.82/11.92 tff(35003,plain,
% 15.82/11.92 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB135) <=> (v139(constB135) | v140(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(35004,plain,
% 15.82/11.92 (v168(constB135) <=> (v139(constB135) | v140(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35003, 18701])).
% 15.82/11.92 tff(35005,plain,
% 15.82/11.92 ((~(v168(constB135) <=> (v139(constB135) | v140(constB135)))) | v168(constB135) | (~(v139(constB135) | v140(constB135)))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35006,plain,
% 15.82/11.92 (v168(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35005, 34989, 35004])).
% 15.82/11.92 tff(35007,plain,
% 15.82/11.92 ((v141(constB135) | v168(constB135)) | (~v168(constB135))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35008,plain,
% 15.82/11.92 (v141(constB135) | v168(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35007, 35006])).
% 15.82/11.92 tff(35009,plain,
% 15.82/11.92 ((~(v167(constB135) <=> (v141(constB135) | v168(constB135)))) | v167(constB135) | (~(v141(constB135) | v168(constB135)))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35010,plain,
% 15.82/11.92 (v167(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35009, 35008, 35002])).
% 15.82/11.92 tff(35011,plain,
% 15.82/11.92 ((v142(constB135) | v167(constB135)) | (~v167(constB135))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35012,plain,
% 15.82/11.92 (v142(constB135) | v167(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35011, 35010])).
% 15.82/11.92 tff(35013,plain,
% 15.82/11.92 ((~(v166(constB135) <=> (v142(constB135) | v167(constB135)))) | v166(constB135) | (~(v142(constB135) | v167(constB135)))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35014,plain,
% 15.82/11.92 (v166(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35013, 35012, 35000])).
% 15.82/11.92 tff(35015,plain,
% 15.82/11.92 ((v145(constB135) | v166(constB135)) | (~v166(constB135))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35016,plain,
% 15.82/11.92 (v145(constB135) | v166(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35015, 35014])).
% 15.82/11.92 tff(35017,plain,
% 15.82/11.92 ((~(v165(constB135) <=> (v145(constB135) | v166(constB135)))) | v165(constB135) | (~(v145(constB135) | v166(constB135)))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35018,plain,
% 15.82/11.92 (v165(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35017, 35016, 34998])).
% 15.82/11.92 tff(35019,plain,
% 15.82/11.92 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB135)) | (v162(constB135) <=> v169(constB135)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB135)) | (v162(constB135) <=> v169(constB135)))),
% 15.82/11.92 inference(rewrite,[status(thm)],[])).
% 15.82/11.92 tff(35020,plain,
% 15.82/11.92 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB135)) | (v162(constB135) <=> v169(constB135)))),
% 15.82/11.92 inference(quant_inst,[status(thm)],[])).
% 15.82/11.92 tff(35021,plain,
% 15.82/11.92 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB135)) | (v162(constB135) <=> v169(constB135))),
% 15.82/11.92 inference(modus_ponens,[status(thm)],[35020, 35019])).
% 15.82/11.92 tff(35022,plain,
% 15.82/11.92 ((~v165(constB135)) | (v162(constB135) <=> v169(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35021, 2426])).
% 15.82/11.92 tff(35023,plain,
% 15.82/11.92 (v162(constB135) <=> v169(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35022, 35018])).
% 15.82/11.92 tff(35024,plain,
% 15.82/11.92 ((~(v162(constB135) <=> v169(constB135))) | (~v162(constB135)) | v169(constB135)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35025,plain,
% 15.82/11.92 (~v162(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35024, 35023, 34996])).
% 15.82/11.92 tff(35026,plain,
% 15.82/11.92 ((~(v160(constB135) <=> v162(constB135))) | (~v160(constB135)) | v162(constB135)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35027,plain,
% 15.82/11.92 ((~(v160(constB135) <=> v162(constB135))) | (~v160(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35026, 35025])).
% 15.82/11.92 tff(35028,plain,
% 15.82/11.92 (~v160(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35027, 34956])).
% 15.82/11.92 tff(35029,plain,
% 15.82/11.92 (((~v184(constB135)) | (~v160(constB135))) | v160(constB135)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35030,plain,
% 15.82/11.92 ((~v184(constB135)) | (~v160(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35029, 35028])).
% 15.82/11.92 tff(35031,plain,
% 15.82/11.92 ((~(v187(constB135) <=> (~((~v184(constB135)) | (~v160(constB135)))))) | (~v187(constB135)) | (~((~v184(constB135)) | (~v160(constB135))))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35032,plain,
% 15.82/11.92 (~v187(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35031, 35030, 34954])).
% 15.82/11.92 tff(35033,plain,
% 15.82/11.92 (((~v186(constB135)) | (~v187(constB135))) | v187(constB135)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35034,plain,
% 15.82/11.92 ((~v186(constB135)) | (~v187(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35033, 35032])).
% 15.82/11.92 tff(35035,plain,
% 15.82/11.92 ((~(v185(constB135) <=> (~((~v186(constB135)) | (~v187(constB135)))))) | (~v185(constB135)) | (~((~v186(constB135)) | (~v187(constB135))))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35036,plain,
% 15.82/11.92 (~v185(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35035, 35034, 34952])).
% 15.82/11.92 tff(35037,plain,
% 15.82/11.92 ((~(v181(constB135) | v185(constB135))) | v181(constB135) | v185(constB135)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35038,plain,
% 15.82/11.92 (~(v181(constB135) | v185(constB135))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35037, 35036, 34950])).
% 15.82/11.92 tff(35039,plain,
% 15.82/11.92 ((~(v178(constB135) <=> (v181(constB135) | v185(constB135)))) | (~v178(constB135)) | (v181(constB135) | v185(constB135))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35040,plain,
% 15.82/11.92 (~v178(constB135)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35039, 35038, 34877])).
% 15.82/11.92 tff(35041,plain,
% 15.82/11.92 ((~(v180(constB136) <=> v178(constB135))) | (~v180(constB136)) | v178(constB135)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35042,plain,
% 15.82/11.92 (~v180(constB136)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35041, 35040, 34875])).
% 15.82/11.92 tff(35043,plain,
% 15.82/11.92 ((~(v158(constB136) <=> v180(constB136))) | (~v158(constB136)) | v180(constB136)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35044,plain,
% 15.82/11.92 (~v158(constB136)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35043, 35042, 34871])).
% 15.82/11.92 tff(35045,plain,
% 15.82/11.92 (((~v158(constB136)) | (~v182(constB136))) | v158(constB136)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35046,plain,
% 15.82/11.92 ((~v158(constB136)) | (~v182(constB136))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35045, 35044])).
% 15.82/11.92 tff(35047,plain,
% 15.82/11.92 ((~(v181(constB136) <=> (~((~v158(constB136)) | (~v182(constB136)))))) | (~v181(constB136)) | (~((~v158(constB136)) | (~v182(constB136))))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35048,plain,
% 15.82/11.92 (~v181(constB136)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35047, 35046, 34869])).
% 15.82/11.92 tff(35049,plain,
% 15.82/11.92 ((~(v181(constB136) | v185(constB136))) | v181(constB136) | v185(constB136)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35050,plain,
% 15.82/11.92 (~(v181(constB136) | v185(constB136))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35049, 35048, 34862])).
% 15.82/11.92 tff(35051,plain,
% 15.82/11.92 ((~(v178(constB136) <=> (v181(constB136) | v185(constB136)))) | (~v178(constB136)) | (v181(constB136) | v185(constB136))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35052,plain,
% 15.82/11.92 (~v178(constB136)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35051, 35050, 34837])).
% 15.82/11.92 tff(35053,plain,
% 15.82/11.92 ((~(v180(constB137) <=> v178(constB136))) | (~v180(constB137)) | v178(constB136)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35054,plain,
% 15.82/11.92 (~v180(constB137)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35053, 35052, 34835])).
% 15.82/11.92 tff(35055,plain,
% 15.82/11.92 ((~(v158(constB137) <=> v180(constB137))) | (~v158(constB137)) | v180(constB137)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35056,plain,
% 15.82/11.92 (~v158(constB137)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35055, 35054, 34831])).
% 15.82/11.92 tff(35057,plain,
% 15.82/11.92 (((~v158(constB137)) | (~v199(constB137))) | v158(constB137)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35058,plain,
% 15.82/11.92 ((~v158(constB137)) | (~v199(constB137))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35057, 35056])).
% 15.82/11.92 tff(35059,plain,
% 15.82/11.92 ((~(v198(constB137) <=> (~((~v158(constB137)) | (~v199(constB137)))))) | (~v198(constB137)) | (~((~v158(constB137)) | (~v199(constB137))))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35060,plain,
% 15.82/11.92 (~v198(constB137)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35059, 35058, 34829])).
% 15.82/11.92 tff(35061,plain,
% 15.82/11.92 ((~(v197(constB137) | v198(constB137))) | v197(constB137) | v198(constB137)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35062,plain,
% 15.82/11.92 (~(v197(constB137) | v198(constB137))),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35061, 35060, 34827])).
% 15.82/11.92 tff(35063,plain,
% 15.82/11.92 ((~(v194(constB137) <=> (v197(constB137) | v198(constB137)))) | (~v194(constB137)) | (v197(constB137) | v198(constB137))),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35064,plain,
% 15.82/11.92 (~v194(constB137)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35063, 35062, 34759])).
% 15.82/11.92 tff(35065,plain,
% 15.82/11.92 ((~(v196(constB138) <=> v194(constB137))) | (~v196(constB138)) | v194(constB137)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35066,plain,
% 15.82/11.92 (~v196(constB138)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35065, 35064, 34757])).
% 15.82/11.92 tff(35067,plain,
% 15.82/11.92 ((~(v191(constB138) <=> v196(constB138))) | (~v191(constB138)) | v196(constB138)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.92 tff(35068,plain,
% 15.82/11.92 (~v191(constB138)),
% 15.82/11.92 inference(unit_resolution,[status(thm)],[35067, 35066, 34753])).
% 15.82/11.92 tff(35069,plain,
% 15.82/11.92 (((~v182(constB138)) | (~v191(constB138))) | v191(constB138)),
% 15.82/11.92 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35070,plain,
% 15.82/11.93 ((~v182(constB138)) | (~v191(constB138))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35069, 35068])).
% 15.82/11.93 tff(35071,plain,
% 15.82/11.93 ((~(v197(constB138) <=> (~((~v182(constB138)) | (~v191(constB138)))))) | (~v197(constB138)) | (~((~v182(constB138)) | (~v191(constB138))))),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35072,plain,
% 15.82/11.93 (~v197(constB138)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35071, 35070, 34751])).
% 15.82/11.93 tff(35073,plain,
% 15.82/11.93 ((~(v197(constB138) | v198(constB138))) | v197(constB138) | v198(constB138)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35074,plain,
% 15.82/11.93 (~(v197(constB138) | v198(constB138))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35073, 35072, 34749])).
% 15.82/11.93 tff(35075,plain,
% 15.82/11.93 ((~(v194(constB138) <=> (v197(constB138) | v198(constB138)))) | (~v194(constB138)) | (v197(constB138) | v198(constB138))),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35076,plain,
% 15.82/11.93 (~v194(constB138)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35075, 35074, 34718])).
% 15.82/11.93 tff(35077,plain,
% 15.82/11.93 ((~(v196(constB139) <=> v194(constB138))) | (~v196(constB139)) | v194(constB138)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35078,plain,
% 15.82/11.93 (~v196(constB139)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35077, 35076, 34716])).
% 15.82/11.93 tff(35079,plain,
% 15.82/11.93 ((~(v191(constB139) <=> v196(constB139))) | (~v191(constB139)) | v196(constB139)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35080,plain,
% 15.82/11.93 (~v191(constB139)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35079, 35078, 34712])).
% 15.82/11.93 tff(35081,plain,
% 15.82/11.93 (((~v191(constB139)) | (~v206(constB139))) | v191(constB139)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35082,plain,
% 15.82/11.93 ((~v191(constB139)) | (~v206(constB139))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35081, 35080])).
% 15.82/11.93 tff(35083,plain,
% 15.82/11.93 ((~(v209(constB139) <=> (~((~v191(constB139)) | (~v206(constB139)))))) | (~v209(constB139)) | (~((~v191(constB139)) | (~v206(constB139))))),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35084,plain,
% 15.82/11.93 (~v209(constB139)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35083, 35082, 34710])).
% 15.82/11.93 tff(35085,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139))))))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35086,plain,
% 15.82/11.93 ((v205(constB139) <=> (~((~v206(constB139)) | (~v158(constB139))))) <=> (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139)))))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35087,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v206(constB139)) | (~v158(constB139)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139))))))),
% 15.82/11.93 inference(monotonicity,[status(thm)],[35086])).
% 15.82/11.93 tff(35088,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v206(constB139)) | (~v158(constB139)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139))))))),
% 15.82/11.93 inference(transitivity,[status(thm)],[35087, 35085])).
% 15.82/11.93 tff(35089,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v206(constB139)) | (~v158(constB139)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35090,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139)))))),
% 15.82/11.93 inference(modus_ponens,[status(thm)],[35089, 35088])).
% 15.82/11.93 tff(35091,plain,
% 15.82/11.93 (v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35090, 2502])).
% 15.82/11.93 tff(35092,plain,
% 15.82/11.93 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB139) <=> v180(constB139))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35093,plain,
% 15.82/11.93 (v158(constB139) <=> v180(constB139)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35092, 358])).
% 15.82/11.93 tff(35094,plain,
% 15.82/11.93 (((~![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)))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35095,plain,
% 15.82/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35096,plain,
% 15.82/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138))),
% 15.82/11.93 inference(modus_ponens,[status(thm)],[35095, 35094])).
% 15.82/11.93 tff(35097,plain,
% 15.82/11.93 (v180(constB139) <=> v178(constB138)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35096, 20425, 370])).
% 15.82/11.93 tff(35098,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB138) <=> (v181(constB138) | v185(constB138)))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35099,plain,
% 15.82/11.93 (v178(constB138) <=> (v181(constB138) | v185(constB138))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35098, 384])).
% 15.82/11.93 tff(35100,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35101,plain,
% 15.82/11.93 (v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35100, 396])).
% 15.82/11.93 tff(35102,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB138) <=> (~((~v184(constB138)) | (~v160(constB138)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35103,plain,
% 15.82/11.93 (v187(constB138) <=> (~((~v184(constB138)) | (~v160(constB138))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35102, 408])).
% 15.82/11.93 tff(35104,plain,
% 15.82/11.93 (((~v184(constB138)) | (~v160(constB138))) | v184(constB138)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35105,plain,
% 15.82/11.93 ((~v184(constB138)) | (~v160(constB138))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35104, 34736])).
% 15.82/11.93 tff(35106,plain,
% 15.82/11.93 ((~(v187(constB138) <=> (~((~v184(constB138)) | (~v160(constB138)))))) | (~v187(constB138)) | (~((~v184(constB138)) | (~v160(constB138))))),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35107,plain,
% 15.82/11.93 ((~(v187(constB138) <=> (~((~v184(constB138)) | (~v160(constB138)))))) | (~v187(constB138))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35106, 35105])).
% 15.82/11.93 tff(35108,plain,
% 15.82/11.93 (~v187(constB138)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35107, 35103])).
% 15.82/11.93 tff(35109,plain,
% 15.82/11.93 (((~v186(constB138)) | (~v187(constB138))) | v187(constB138)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35110,plain,
% 15.82/11.93 ((~v186(constB138)) | (~v187(constB138))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35109, 35108])).
% 15.82/11.93 tff(35111,plain,
% 15.82/11.93 ((~(v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138)))))) | (~v185(constB138)) | (~((~v186(constB138)) | (~v187(constB138))))),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35112,plain,
% 15.82/11.93 (~v185(constB138)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35111, 35110, 35101])).
% 15.82/11.93 tff(35113,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138))))))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35114,plain,
% 15.82/11.93 ((v181(constB138) <=> (~((~v182(constB138)) | (~v158(constB138))))) <=> (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138)))))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35115,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v158(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138))))))),
% 15.82/11.93 inference(monotonicity,[status(thm)],[35114])).
% 15.82/11.93 tff(35116,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v158(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138))))))),
% 15.82/11.93 inference(transitivity,[status(thm)],[35115, 35113])).
% 15.82/11.93 tff(35117,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v158(constB138)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35118,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138)))))),
% 15.82/11.93 inference(modus_ponens,[status(thm)],[35117, 35116])).
% 15.82/11.93 tff(35119,plain,
% 15.82/11.93 (v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35118, 444])).
% 15.82/11.93 tff(35120,plain,
% 15.82/11.93 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB138) <=> v180(constB138))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35121,plain,
% 15.82/11.93 (v158(constB138) <=> v180(constB138)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35120, 358])).
% 15.82/11.93 tff(35122,plain,
% 15.82/11.93 (((~![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)))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35123,plain,
% 15.82/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35124,plain,
% 15.82/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137))),
% 15.82/11.93 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 15.82/11.93 tff(35125,plain,
% 15.82/11.93 (v180(constB138) <=> v178(constB137)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35124, 20457, 370])).
% 15.82/11.93 tff(35126,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB137) <=> (v181(constB137) | v185(constB137)))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35127,plain,
% 15.82/11.93 (v178(constB137) <=> (v181(constB137) | v185(constB137))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35126, 384])).
% 15.82/11.93 tff(35128,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137))))))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35129,plain,
% 15.82/11.93 ((v181(constB137) <=> (~((~v182(constB137)) | (~v158(constB137))))) <=> (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137)))))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35130,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v158(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137))))))),
% 15.82/11.93 inference(monotonicity,[status(thm)],[35129])).
% 15.82/11.93 tff(35131,plain,
% 15.82/11.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v158(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137))))))),
% 15.82/11.93 inference(transitivity,[status(thm)],[35130, 35128])).
% 15.82/11.93 tff(35132,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v158(constB137)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35133,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137)))))),
% 15.82/11.93 inference(modus_ponens,[status(thm)],[35132, 35131])).
% 15.82/11.93 tff(35134,plain,
% 15.82/11.93 (v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35133, 444])).
% 15.82/11.93 tff(35135,plain,
% 15.82/11.93 (((~v158(constB137)) | (~v182(constB137))) | v182(constB137)),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35136,plain,
% 15.82/11.93 ((~v158(constB137)) | (~v182(constB137))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35135, 34823])).
% 15.82/11.93 tff(35137,plain,
% 15.82/11.93 ((~(v181(constB137) <=> (~((~v158(constB137)) | (~v182(constB137)))))) | (~v181(constB137)) | (~((~v158(constB137)) | (~v182(constB137))))),
% 15.82/11.93 inference(tautology,[status(thm)],[])).
% 15.82/11.93 tff(35138,plain,
% 15.82/11.93 (~v181(constB137)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35137, 35136, 35134])).
% 15.82/11.93 tff(35139,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35140,plain,
% 15.82/11.93 (v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35139, 396])).
% 15.82/11.93 tff(35141,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB137) <=> (~((~v184(constB137)) | (~v160(constB137)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35142,plain,
% 15.82/11.93 (v187(constB137) <=> (~((~v184(constB137)) | (~v160(constB137))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35141, 408])).
% 15.82/11.93 tff(35143,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB137) <=> v162(constB137))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35144,plain,
% 15.82/11.93 (v160(constB137) <=> v162(constB137)),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35143, 549])).
% 15.82/11.93 tff(35145,plain,
% 15.82/11.93 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)))))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35146,plain,
% 15.82/11.93 (v141(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0))))),
% 15.82/11.93 inference(unit_resolution,[status(thm)],[35145, 564])).
% 15.82/11.93 tff(35147,plain,
% 15.82/11.93 (((~![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)))),
% 15.82/11.93 inference(rewrite,[status(thm)],[])).
% 15.82/11.93 tff(35148,plain,
% 15.82/11.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0)))),
% 15.82/11.93 inference(quant_inst,[status(thm)],[])).
% 15.82/11.93 tff(35149,plain,
% 15.82/11.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0))),
% 15.82/11.93 inference(modus_ponens,[status(thm)],[35148, 35147])).
% 15.88/11.93 tff(35150,plain,
% 15.88/11.93 (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0)),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35149, 1275, 576])).
% 15.88/11.93 tff(35151,plain,
% 15.88/11.93 ((~(v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0))) | (~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0)),
% 15.88/11.93 inference(tautology,[status(thm)],[])).
% 15.88/11.93 tff(35152,plain,
% 15.88/11.93 (~v88(constB137, bitIndex0)),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35151, 22002, 35150])).
% 15.88/11.93 tff(35153,plain,
% 15.88/11.93 ((v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0))) | v88(constB137, bitIndex0)),
% 15.88/11.93 inference(tautology,[status(thm)],[])).
% 15.88/11.93 tff(35154,plain,
% 15.88/11.93 (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0))),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35153, 35152])).
% 15.88/11.93 tff(35155,plain,
% 15.88/11.93 ((~(v141(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)))))) | (~v141(constB137)) | (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0))))),
% 15.88/11.93 inference(tautology,[status(thm)],[])).
% 15.88/11.93 tff(35156,plain,
% 15.88/11.93 (~v141(constB137)),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35155, 35154, 35146])).
% 15.88/11.93 tff(35157,plain,
% 15.88/11.93 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB137) <=> (v139(constB137) | v140(constB137)))),
% 15.88/11.93 inference(quant_inst,[status(thm)],[])).
% 15.88/11.93 tff(35158,plain,
% 15.88/11.93 (v170(constB137) <=> (v139(constB137) | v140(constB137))),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35157, 2216])).
% 15.88/11.93 tff(35159,plain,
% 15.88/11.93 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2))))),
% 15.88/11.93 inference(quant_inst,[status(thm)],[])).
% 15.88/11.93 tff(35160,plain,
% 15.88/11.93 (v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)))),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35159, 2231])).
% 15.88/11.93 tff(35161,plain,
% 15.88/11.93 (((~![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)))),
% 15.88/11.93 inference(rewrite,[status(thm)],[])).
% 15.88/11.93 tff(35162,plain,
% 15.88/11.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1)))),
% 15.88/11.93 inference(quant_inst,[status(thm)],[])).
% 15.88/11.93 tff(35163,plain,
% 15.88/11.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1))),
% 15.88/11.93 inference(modus_ponens,[status(thm)],[35162, 35161])).
% 15.88/11.93 tff(35164,plain,
% 15.88/11.93 (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1)),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35163, 1288, 576])).
% 15.88/11.93 tff(35165,plain,
% 15.88/11.93 ((~(v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1))) | v88(constB137, bitIndex1) | (~v90(constB137, bitIndex1))),
% 15.88/11.93 inference(tautology,[status(thm)],[])).
% 15.88/11.93 tff(35166,plain,
% 15.88/11.93 (v88(constB137, bitIndex1)),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35165, 22033, 35164])).
% 15.88/11.93 tff(35167,plain,
% 15.88/11.93 ((v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)) | (~v88(constB137, bitIndex1))),
% 15.88/11.93 inference(tautology,[status(thm)],[])).
% 15.88/11.93 tff(35168,plain,
% 15.88/11.93 (v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)),
% 15.88/11.93 inference(unit_resolution,[status(thm)],[35167, 35166])).
% 15.88/11.93 tff(35169,plain,
% 15.88/11.93 ((~(v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2))))) | (~v139(constB137)) | (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)))),
% 15.88/11.93 inference(tautology,[status(thm)],[])).
% 15.88/11.93 tff(35170,plain,
% 15.88/11.93 (~v139(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35169, 35168, 35160])).
% 15.88/11.94 tff(35171,plain,
% 15.88/11.94 (((~![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))))))),
% 15.88/11.94 inference(rewrite,[status(thm)],[])).
% 15.88/11.94 tff(35172,plain,
% 15.88/11.94 ((v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0))))) <=> (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))),
% 15.88/11.94 inference(rewrite,[status(thm)],[])).
% 15.88/11.94 tff(35173,plain,
% 15.88/11.94 (((~![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))))))),
% 15.88/11.94 inference(monotonicity,[status(thm)],[35172])).
% 15.88/11.94 tff(35174,plain,
% 15.88/11.94 (((~![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))))))),
% 15.88/11.94 inference(transitivity,[status(thm)],[35173, 35171])).
% 15.88/11.94 tff(35175,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0)))))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35176,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))),
% 15.88/11.94 inference(modus_ponens,[status(thm)],[35175, 35174])).
% 15.88/11.94 tff(35177,plain,
% 15.88/11.94 (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35176, 2250])).
% 15.88/11.94 tff(35178,plain,
% 15.88/11.94 ((v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))) | (~v88(constB137, bitIndex1))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35179,plain,
% 15.88/11.94 (v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35178, 35166])).
% 15.88/11.94 tff(35180,plain,
% 15.88/11.94 ((~(v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))) | (~v140(constB137)) | (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35181,plain,
% 15.88/11.94 (~v140(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35180, 35179, 35177])).
% 15.88/11.94 tff(35182,plain,
% 15.88/11.94 ((~(v139(constB137) | v140(constB137))) | v139(constB137) | v140(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35183,plain,
% 15.88/11.94 (~(v139(constB137) | v140(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35182, 35181, 35170])).
% 15.88/11.94 tff(35184,plain,
% 15.88/11.94 ((~(v170(constB137) <=> (v139(constB137) | v140(constB137)))) | (~v170(constB137)) | (v139(constB137) | v140(constB137))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35185,plain,
% 15.88/11.94 (~v170(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35184, 35183, 35158])).
% 15.88/11.94 tff(35186,plain,
% 15.88/11.94 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB137) | v170(constB137) | (~v169(constB137)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB137) | v170(constB137) | (~v169(constB137)))),
% 15.88/11.94 inference(rewrite,[status(thm)],[])).
% 15.88/11.94 tff(35187,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB137) | v170(constB137) | (~v169(constB137)))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35188,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB137) | v170(constB137) | (~v169(constB137))),
% 15.88/11.94 inference(modus_ponens,[status(thm)],[35187, 35186])).
% 15.88/11.94 tff(35189,plain,
% 15.88/11.94 (v141(constB137) | v170(constB137) | (~v169(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35188, 2278])).
% 15.88/11.94 tff(35190,plain,
% 15.88/11.94 (~v169(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35189, 35185, 35156])).
% 15.88/11.94 tff(35191,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB137) <=> (v145(constB137) | v166(constB137)))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35192,plain,
% 15.88/11.94 (v165(constB137) <=> (v145(constB137) | v166(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35191, 2293])).
% 15.88/11.94 tff(35193,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB137) <=> (v142(constB137) | v167(constB137)))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35194,plain,
% 15.88/11.94 (v166(constB137) <=> (v142(constB137) | v167(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35193, 2804])).
% 15.88/11.94 tff(35195,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB137) <=> (v143(constB137) | v144(constB137)))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35196,plain,
% 15.88/11.94 (v142(constB137) <=> (v143(constB137) | v144(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35195, 2813])).
% 15.88/11.94 tff(35197,plain,
% 15.88/11.94 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35198,plain,
% 15.88/11.94 (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1))))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35197, 16089])).
% 15.88/11.94 tff(35199,plain,
% 15.88/11.94 (((~![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)))),
% 15.88/11.94 inference(rewrite,[status(thm)],[])).
% 15.88/11.94 tff(35200,plain,
% 15.88/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2)))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35201,plain,
% 15.88/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2))),
% 15.88/11.94 inference(modus_ponens,[status(thm)],[35200, 35199])).
% 15.88/11.94 tff(35202,plain,
% 15.88/11.94 (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35201, 579, 576])).
% 15.88/11.94 tff(35203,plain,
% 15.88/11.94 ((~(v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2))) | (~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35204,plain,
% 15.88/11.94 (~v88(constB137, bitIndex2)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35203, 21971, 35202])).
% 15.88/11.94 tff(35205,plain,
% 15.88/11.94 ((~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))) | v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35206,plain,
% 15.88/11.94 (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35205, 35166, 35152, 35204])).
% 15.88/11.94 tff(35207,plain,
% 15.88/11.94 ((~(v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))) | v143(constB137) | (v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35208,plain,
% 15.88/11.94 (v143(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35207, 35206, 35198])).
% 15.88/11.94 tff(35209,plain,
% 15.88/11.94 ((v143(constB137) | v144(constB137)) | (~v143(constB137))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35210,plain,
% 15.88/11.94 (v143(constB137) | v144(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35209, 35208])).
% 15.88/11.94 tff(35211,plain,
% 15.88/11.94 ((~(v142(constB137) <=> (v143(constB137) | v144(constB137)))) | v142(constB137) | (~(v143(constB137) | v144(constB137)))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35212,plain,
% 15.88/11.94 (v142(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35211, 35210, 35196])).
% 15.88/11.94 tff(35213,plain,
% 15.88/11.94 ((v142(constB137) | v167(constB137)) | (~v142(constB137))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35214,plain,
% 15.88/11.94 (v142(constB137) | v167(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35213, 35212])).
% 15.88/11.94 tff(35215,plain,
% 15.88/11.94 ((~(v166(constB137) <=> (v142(constB137) | v167(constB137)))) | v166(constB137) | (~(v142(constB137) | v167(constB137)))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35216,plain,
% 15.88/11.94 (v166(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35215, 35214, 35194])).
% 15.88/11.94 tff(35217,plain,
% 15.88/11.94 ((v145(constB137) | v166(constB137)) | (~v166(constB137))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35218,plain,
% 15.88/11.94 (v145(constB137) | v166(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35217, 35216])).
% 15.88/11.94 tff(35219,plain,
% 15.88/11.94 ((~(v165(constB137) <=> (v145(constB137) | v166(constB137)))) | v165(constB137) | (~(v145(constB137) | v166(constB137)))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35220,plain,
% 15.88/11.94 (v165(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35219, 35218, 35192])).
% 15.88/11.94 tff(35221,plain,
% 15.88/11.94 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB137)) | (v162(constB137) <=> v169(constB137)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB137)) | (v162(constB137) <=> v169(constB137)))),
% 15.88/11.94 inference(rewrite,[status(thm)],[])).
% 15.88/11.94 tff(35222,plain,
% 15.88/11.94 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB137)) | (v162(constB137) <=> v169(constB137)))),
% 15.88/11.94 inference(quant_inst,[status(thm)],[])).
% 15.88/11.94 tff(35223,plain,
% 15.88/11.94 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB137)) | (v162(constB137) <=> v169(constB137))),
% 15.88/11.94 inference(modus_ponens,[status(thm)],[35222, 35221])).
% 15.88/11.94 tff(35224,plain,
% 15.88/11.94 ((~v165(constB137)) | (v162(constB137) <=> v169(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35223, 2426])).
% 15.88/11.94 tff(35225,plain,
% 15.88/11.94 (v162(constB137) <=> v169(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35224, 35220])).
% 15.88/11.94 tff(35226,plain,
% 15.88/11.94 ((~(v162(constB137) <=> v169(constB137))) | (~v162(constB137)) | v169(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35227,plain,
% 15.88/11.94 (~v162(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35226, 35225, 35190])).
% 15.88/11.94 tff(35228,plain,
% 15.88/11.94 ((~(v160(constB137) <=> v162(constB137))) | (~v160(constB137)) | v162(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35229,plain,
% 15.88/11.94 ((~(v160(constB137) <=> v162(constB137))) | (~v160(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35228, 35227])).
% 15.88/11.94 tff(35230,plain,
% 15.88/11.94 (~v160(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35229, 35144])).
% 15.88/11.94 tff(35231,plain,
% 15.88/11.94 (((~v184(constB137)) | (~v160(constB137))) | v160(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35232,plain,
% 15.88/11.94 ((~v184(constB137)) | (~v160(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35231, 35230])).
% 15.88/11.94 tff(35233,plain,
% 15.88/11.94 ((~(v187(constB137) <=> (~((~v184(constB137)) | (~v160(constB137)))))) | (~v187(constB137)) | (~((~v184(constB137)) | (~v160(constB137))))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35234,plain,
% 15.88/11.94 (~v187(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35233, 35232, 35142])).
% 15.88/11.94 tff(35235,plain,
% 15.88/11.94 (((~v186(constB137)) | (~v187(constB137))) | v187(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35236,plain,
% 15.88/11.94 ((~v186(constB137)) | (~v187(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35235, 35234])).
% 15.88/11.94 tff(35237,plain,
% 15.88/11.94 ((~(v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137)))))) | (~v185(constB137)) | (~((~v186(constB137)) | (~v187(constB137))))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35238,plain,
% 15.88/11.94 (~v185(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35237, 35236, 35140])).
% 15.88/11.94 tff(35239,plain,
% 15.88/11.94 ((~(v181(constB137) | v185(constB137))) | v181(constB137) | v185(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35240,plain,
% 15.88/11.94 (~(v181(constB137) | v185(constB137))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35239, 35238, 35138])).
% 15.88/11.94 tff(35241,plain,
% 15.88/11.94 ((~(v178(constB137) <=> (v181(constB137) | v185(constB137)))) | (~v178(constB137)) | (v181(constB137) | v185(constB137))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35242,plain,
% 15.88/11.94 (~v178(constB137)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35241, 35240, 35127])).
% 15.88/11.94 tff(35243,plain,
% 15.88/11.94 ((~(v180(constB138) <=> v178(constB137))) | (~v180(constB138)) | v178(constB137)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35244,plain,
% 15.88/11.94 (~v180(constB138)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35243, 35242, 35125])).
% 15.88/11.94 tff(35245,plain,
% 15.88/11.94 ((~(v158(constB138) <=> v180(constB138))) | (~v158(constB138)) | v180(constB138)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35246,plain,
% 15.88/11.94 (~v158(constB138)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35245, 35244, 35121])).
% 15.88/11.94 tff(35247,plain,
% 15.88/11.94 (((~v158(constB138)) | (~v182(constB138))) | v158(constB138)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35248,plain,
% 15.88/11.94 ((~v158(constB138)) | (~v182(constB138))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35247, 35246])).
% 15.88/11.94 tff(35249,plain,
% 15.88/11.94 ((~(v181(constB138) <=> (~((~v158(constB138)) | (~v182(constB138)))))) | (~v181(constB138)) | (~((~v158(constB138)) | (~v182(constB138))))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35250,plain,
% 15.88/11.94 (~v181(constB138)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35249, 35248, 35119])).
% 15.88/11.94 tff(35251,plain,
% 15.88/11.94 ((~(v181(constB138) | v185(constB138))) | v181(constB138) | v185(constB138)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35252,plain,
% 15.88/11.94 (~(v181(constB138) | v185(constB138))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35251, 35250, 35112])).
% 15.88/11.94 tff(35253,plain,
% 15.88/11.94 ((~(v178(constB138) <=> (v181(constB138) | v185(constB138)))) | (~v178(constB138)) | (v181(constB138) | v185(constB138))),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35254,plain,
% 15.88/11.94 (~v178(constB138)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35253, 35252, 35099])).
% 15.88/11.94 tff(35255,plain,
% 15.88/11.94 ((~(v180(constB139) <=> v178(constB138))) | (~v180(constB139)) | v178(constB138)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35256,plain,
% 15.88/11.94 (~v180(constB139)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35255, 35254, 35097])).
% 15.88/11.94 tff(35257,plain,
% 15.88/11.94 ((~(v158(constB139) <=> v180(constB139))) | (~v158(constB139)) | v180(constB139)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35258,plain,
% 15.88/11.94 (~v158(constB139)),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35257, 35256, 35093])).
% 15.88/11.94 tff(35259,plain,
% 15.88/11.94 (((~v158(constB139)) | (~v206(constB139))) | v158(constB139)),
% 15.88/11.94 inference(tautology,[status(thm)],[])).
% 15.88/11.94 tff(35260,plain,
% 15.88/11.94 ((~v158(constB139)) | (~v206(constB139))),
% 15.88/11.94 inference(unit_resolution,[status(thm)],[35259, 35258])).
% 15.88/11.94 tff(35261,plain,
% 15.88/11.95 ((~(v205(constB139) <=> (~((~v158(constB139)) | (~v206(constB139)))))) | (~v205(constB139)) | (~((~v158(constB139)) | (~v206(constB139))))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35262,plain,
% 15.88/11.95 (~v205(constB139)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35261, 35260, 35091])).
% 15.88/11.95 tff(35263,plain,
% 15.88/11.95 ((~(v205(constB139) | v209(constB139))) | v205(constB139) | v209(constB139)),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35264,plain,
% 15.88/11.95 (~(v205(constB139) | v209(constB139))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35263, 35262, 35084])).
% 15.88/11.95 tff(35265,plain,
% 15.88/11.95 ((~(v204(constB139) <=> (v205(constB139) | v209(constB139)))) | (~v204(constB139)) | (v205(constB139) | v209(constB139))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35266,plain,
% 15.88/11.95 (~v204(constB139)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35265, 35264, 34703])).
% 15.88/11.95 tff(35267,plain,
% 15.88/11.95 ($false),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35266, 34701])).
% 15.88/11.95 tff(35268,plain,(~(constB139 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.88/11.95 tff(35269,assumption,(constB81 = VarCurr!0), introduced(assumption)).
% 15.88/11.95 tff(35270,plain,
% 15.88/11.95 (v204(constB81) <=> v204(VarCurr!0)),
% 15.88/11.95 inference(monotonicity,[status(thm)],[35269])).
% 15.88/11.95 tff(35271,plain,
% 15.88/11.95 (v204(VarCurr!0) <=> v204(constB81)),
% 15.88/11.95 inference(symmetry,[status(thm)],[35270])).
% 15.88/11.95 tff(35272,plain,
% 15.88/11.95 (v204(constB81)),
% 15.88/11.95 inference(modus_ponens,[status(thm)],[27, 35271])).
% 15.88/11.95 tff(35273,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB81) <=> (v205(constB81) | v209(constB81)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35274,plain,
% 15.88/11.95 (v204(constB81) <=> (v205(constB81) | v209(constB81))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35273, 35])).
% 15.88/11.95 tff(35275,plain,
% 15.88/11.95 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81))))))),
% 15.88/11.95 inference(rewrite,[status(thm)],[])).
% 15.88/11.95 tff(35276,plain,
% 15.88/11.95 ((v209(constB81) <=> (~((~v206(constB81)) | (~v191(constB81))))) <=> (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81)))))),
% 15.88/11.95 inference(rewrite,[status(thm)],[])).
% 15.88/11.95 tff(35277,plain,
% 15.88/11.95 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v206(constB81)) | (~v191(constB81)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81))))))),
% 15.88/11.95 inference(monotonicity,[status(thm)],[35276])).
% 15.88/11.95 tff(35278,plain,
% 15.88/11.95 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v206(constB81)) | (~v191(constB81)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81))))))),
% 15.88/11.95 inference(transitivity,[status(thm)],[35277, 35275])).
% 15.88/11.95 tff(35279,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v206(constB81)) | (~v191(constB81)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35280,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81)))))),
% 15.88/11.95 inference(modus_ponens,[status(thm)],[35279, 35278])).
% 15.88/11.95 tff(35281,plain,
% 15.88/11.95 (v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35280, 47])).
% 15.88/11.95 tff(35282,plain,
% 15.88/11.95 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB81) <=> v196(constB81))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35283,plain,
% 15.88/11.95 (v191(constB81) <=> v196(constB81)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35282, 64])).
% 15.88/11.95 tff(35284,plain,
% 15.88/11.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB80, constB81)) | (v196(constB81) <=> v194(constB80)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB80, constB81)) | (v196(constB81) <=> v194(constB80)))),
% 15.88/11.95 inference(rewrite,[status(thm)],[])).
% 15.88/11.95 tff(35285,plain,
% 15.88/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB80, constB81)) | (v196(constB81) <=> v194(constB80)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35286,plain,
% 15.88/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB80, constB81)) | (v196(constB81) <=> v194(constB80))),
% 15.88/11.95 inference(modus_ponens,[status(thm)],[35285, 35284])).
% 15.88/11.95 tff(35287,plain,
% 15.88/11.95 (v196(constB81) <=> v194(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35286, 4752, 76])).
% 15.88/11.95 tff(35288,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB80) <=> (v197(constB80) | v198(constB80)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35289,plain,
% 15.88/11.95 (v194(constB80) <=> (v197(constB80) | v198(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35288, 90])).
% 15.88/11.95 tff(35290,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB80) <=> (~((~v158(constB80)) | (~v199(constB80)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35291,plain,
% 15.88/11.95 (v198(constB80) <=> (~((~v158(constB80)) | (~v199(constB80))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35290, 102])).
% 15.88/11.95 tff(35292,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB80) <=> (~((~v186(constB80)) | (~v200(constB80)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35293,plain,
% 15.88/11.95 (v199(constB80) <=> (~((~v186(constB80)) | (~v200(constB80))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35292, 114])).
% 15.88/11.95 tff(35294,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB80) <=> (~((~v184(constB80)) | (~v84(constB80)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35295,plain,
% 15.88/11.95 (v200(constB80) <=> (~((~v184(constB80)) | (~v84(constB80))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35294, 126])).
% 15.88/11.95 tff(35296,plain,
% 15.88/11.95 (((~v184(constB80)) | (~v84(constB80))) | v184(constB80)),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35297,plain,
% 15.88/11.95 ((~v184(constB80)) | (~v84(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35296, 24536])).
% 15.88/11.95 tff(35298,plain,
% 15.88/11.95 ((~(v200(constB80) <=> (~((~v184(constB80)) | (~v84(constB80)))))) | (~v200(constB80)) | (~((~v184(constB80)) | (~v84(constB80))))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35299,plain,
% 15.88/11.95 ((~(v200(constB80) <=> (~((~v184(constB80)) | (~v84(constB80)))))) | (~v200(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35298, 35297])).
% 15.88/11.95 tff(35300,plain,
% 15.88/11.95 (~v200(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35299, 35295])).
% 15.88/11.95 tff(35301,plain,
% 15.88/11.95 (((~v186(constB80)) | (~v200(constB80))) | v200(constB80)),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35302,plain,
% 15.88/11.95 ((~v186(constB80)) | (~v200(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35301, 35300])).
% 15.88/11.95 tff(35303,plain,
% 15.88/11.95 ((~(v199(constB80) <=> (~((~v186(constB80)) | (~v200(constB80)))))) | (~v199(constB80)) | (~((~v186(constB80)) | (~v200(constB80))))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35304,plain,
% 15.88/11.95 (~v199(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35303, 35302, 35293])).
% 15.88/11.95 tff(35305,plain,
% 15.88/11.95 (((~v158(constB80)) | (~v199(constB80))) | v199(constB80)),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35306,plain,
% 15.88/11.95 ((~v158(constB80)) | (~v199(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35305, 35304])).
% 15.88/11.95 tff(35307,plain,
% 15.88/11.95 ((~(v198(constB80) <=> (~((~v158(constB80)) | (~v199(constB80)))))) | (~v198(constB80)) | (~((~v158(constB80)) | (~v199(constB80))))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35308,plain,
% 15.88/11.95 (~v198(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35307, 35306, 35291])).
% 15.88/11.95 tff(35309,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB80) <=> (~((~v182(constB80)) | (~v191(constB80)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35310,plain,
% 15.88/11.95 (v197(constB80) <=> (~((~v182(constB80)) | (~v191(constB80))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35309, 183])).
% 15.88/11.95 tff(35311,plain,
% 15.88/11.95 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB80) <=> v196(constB80))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35312,plain,
% 15.88/11.95 (v191(constB80) <=> v196(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35311, 64])).
% 15.88/11.95 tff(35313,plain,
% 15.88/11.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB79, constB80)) | (v196(constB80) <=> v194(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB79, constB80)) | (v196(constB80) <=> v194(constB79)))),
% 15.88/11.95 inference(rewrite,[status(thm)],[])).
% 15.88/11.95 tff(35314,plain,
% 15.88/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB79, constB80)) | (v196(constB80) <=> v194(constB79)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35315,plain,
% 15.88/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB79, constB80)) | (v196(constB80) <=> v194(constB79))),
% 15.88/11.95 inference(modus_ponens,[status(thm)],[35314, 35313])).
% 15.88/11.95 tff(35316,plain,
% 15.88/11.95 (v196(constB80) <=> v194(constB79)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35315, 4784, 76])).
% 15.88/11.95 tff(35317,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB79) <=> (v197(constB79) | v198(constB79)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35318,plain,
% 15.88/11.95 (v194(constB79) <=> (v197(constB79) | v198(constB79))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35317, 90])).
% 15.88/11.95 tff(35319,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB79) <=> (~((~v182(constB79)) | (~v191(constB79)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35320,plain,
% 15.88/11.95 (v197(constB79) <=> (~((~v182(constB79)) | (~v191(constB79))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35319, 183])).
% 15.88/11.95 tff(35321,plain,
% 15.88/11.95 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB79)) <=> v183(constB79))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35322,plain,
% 15.88/11.95 ((~v182(constB79)) <=> v183(constB79)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35321, 205])).
% 15.88/11.95 tff(35323,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB79) <=> (v184(constB79) | v26(constB79)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35324,plain,
% 15.88/11.95 (v183(constB79) <=> (v184(constB79) | v26(constB79))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35323, 214])).
% 15.88/11.95 tff(35325,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35326,plain,
% 15.88/11.95 (v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35325, 138])).
% 15.88/11.95 tff(35327,plain,
% 15.88/11.95 (((~![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)))),
% 15.88/11.95 inference(rewrite,[status(thm)],[])).
% 15.88/11.95 tff(35328,plain,
% 15.88/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35329,plain,
% 15.88/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79))),
% 15.88/11.95 inference(modus_ponens,[status(thm)],[35328, 35327])).
% 15.88/11.95 tff(35330,plain,
% 15.88/11.95 (v13(constB80) <=> v9(constB79)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35329, 4784, 228])).
% 15.88/11.95 tff(35331,plain,
% 15.88/11.95 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB80) <=> v13(constB80))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35332,plain,
% 15.88/11.95 (v6(constB80) <=> v13(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35331, 242])).
% 15.88/11.95 tff(35333,plain,
% 15.88/11.95 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB80)) <=> v6(constB80))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35334,plain,
% 15.88/11.95 ((~v21(constB80)) <=> v6(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35333, 251])).
% 15.88/11.95 tff(35335,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB80) <=> (v20(constB80) | v21(constB80)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35336,plain,
% 15.88/11.95 (v19(constB80) <=> (v20(constB80) | v21(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35335, 260])).
% 15.88/11.95 tff(35337,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35338,plain,
% 15.88/11.95 (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80))))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35337, 272])).
% 15.88/11.95 tff(35339,plain,
% 15.88/11.95 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB80)) <=> v18(constB80))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35340,plain,
% 15.88/11.95 ((~v4(constB80)) <=> v18(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35339, 281])).
% 15.88/11.95 tff(35341,plain,
% 15.88/11.95 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB80)),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35342,plain,
% 15.88/11.95 (v4(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35341, 290])).
% 15.88/11.95 tff(35343,plain,
% 15.88/11.95 ((~((~v4(constB80)) <=> v18(constB80))) | (~v4(constB80)) | (~v18(constB80))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35344,plain,
% 15.88/11.95 (~v18(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35343, 35342, 35340])).
% 15.88/11.95 tff(35345,plain,
% 15.88/11.95 ((~(v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))) | v18(constB80) | ((~v19(constB80)) | (~v22(constB80)))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35346,plain,
% 15.88/11.95 ((~v19(constB80)) | (~v22(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35345, 35344, 35338])).
% 15.88/11.95 tff(35347,plain,
% 15.88/11.95 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB80) <=> (v1(constB80) | v6(constB80)))),
% 15.88/11.95 inference(quant_inst,[status(thm)],[])).
% 15.88/11.95 tff(35348,plain,
% 15.88/11.95 (v22(constB80) <=> (v1(constB80) | v6(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35347, 303])).
% 15.88/11.95 tff(35349,plain,
% 15.88/11.95 ((v1(constB80) | v6(constB80)) | (~v1(constB80))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35350,plain,
% 15.88/11.95 (v1(constB80) | v6(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35349, 4814])).
% 15.88/11.95 tff(35351,plain,
% 15.88/11.95 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80) | (~(v1(constB80) | v6(constB80)))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35352,plain,
% 15.88/11.95 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35351, 35350])).
% 15.88/11.95 tff(35353,plain,
% 15.88/11.95 (v22(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35352, 35348])).
% 15.88/11.95 tff(35354,plain,
% 15.88/11.95 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80)) | (~v22(constB80))),
% 15.88/11.95 inference(tautology,[status(thm)],[])).
% 15.88/11.95 tff(35355,plain,
% 15.88/11.95 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80))),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35354, 35353])).
% 15.88/11.95 tff(35356,plain,
% 15.88/11.95 (~v19(constB80)),
% 15.88/11.95 inference(unit_resolution,[status(thm)],[35355, 35346])).
% 15.88/11.95 tff(35357,plain,
% 15.88/11.95 ((~(v19(constB80) <=> (v20(constB80) | v21(constB80)))) | v19(constB80) | (~(v20(constB80) | v21(constB80)))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35358,plain,
% 15.90/11.95 (~(v20(constB80) | v21(constB80))),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35357, 35356, 35336])).
% 15.90/11.95 tff(35359,plain,
% 15.90/11.95 ((v20(constB80) | v21(constB80)) | (~v21(constB80))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35360,plain,
% 15.90/11.95 (~v21(constB80)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35359, 35358])).
% 15.90/11.95 tff(35361,plain,
% 15.90/11.95 ((~((~v21(constB80)) <=> v6(constB80))) | v21(constB80) | v6(constB80)),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35362,plain,
% 15.90/11.95 (v6(constB80)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35361, 35360, 35334])).
% 15.90/11.95 tff(35363,plain,
% 15.90/11.95 ((~(v6(constB80) <=> v13(constB80))) | (~v6(constB80)) | v13(constB80)),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35364,plain,
% 15.90/11.95 (v13(constB80)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35363, 35362, 35332])).
% 15.90/11.95 tff(35365,plain,
% 15.90/11.95 ((~(v13(constB80) <=> v9(constB79))) | (~v13(constB80)) | v9(constB79)),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35366,plain,
% 15.90/11.95 (v9(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35365, 35364, 35330])).
% 15.90/11.95 tff(35367,plain,
% 15.90/11.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB79)) <=> v1(constB79))),
% 15.90/11.95 inference(quant_inst,[status(thm)],[])).
% 15.90/11.95 tff(35368,plain,
% 15.90/11.95 ((~v39(constB79)) <=> v1(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35367, 147])).
% 15.90/11.95 tff(35369,plain,
% 15.90/11.95 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79) | v1(constB79)),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35370,plain,
% 15.90/11.95 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35369, 4806])).
% 15.90/11.95 tff(35371,plain,
% 15.90/11.95 (v39(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35370, 35368])).
% 15.90/11.95 tff(35372,plain,
% 15.90/11.95 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v39(constB79)) | (~v9(constB79))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35373,plain,
% 15.90/11.95 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v9(constB79))),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35372, 35371])).
% 15.90/11.95 tff(35374,plain,
% 15.90/11.95 (~((~v39(constB79)) | (~v9(constB79)))),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35373, 35366])).
% 15.90/11.95 tff(35375,plain,
% 15.90/11.95 ((~(v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))) | v184(constB79) | ((~v39(constB79)) | (~v9(constB79)))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35376,plain,
% 15.90/11.95 (v184(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35375, 35374, 35326])).
% 15.90/11.95 tff(35377,plain,
% 15.90/11.95 ((v184(constB79) | v26(constB79)) | (~v184(constB79))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35378,plain,
% 15.90/11.95 (v184(constB79) | v26(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35377, 35376])).
% 15.90/11.95 tff(35379,plain,
% 15.90/11.95 ((~(v183(constB79) <=> (v184(constB79) | v26(constB79)))) | v183(constB79) | (~(v184(constB79) | v26(constB79)))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35380,plain,
% 15.90/11.95 (v183(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35379, 35378, 35324])).
% 15.90/11.95 tff(35381,plain,
% 15.90/11.95 ((~((~v182(constB79)) <=> v183(constB79))) | (~v182(constB79)) | (~v183(constB79))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35382,plain,
% 15.90/11.95 (~v182(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35381, 35380, 35322])).
% 15.90/11.95 tff(35383,plain,
% 15.90/11.95 (((~v182(constB79)) | (~v191(constB79))) | v182(constB79)),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35384,plain,
% 15.90/11.95 ((~v182(constB79)) | (~v191(constB79))),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35383, 35382])).
% 15.90/11.95 tff(35385,plain,
% 15.90/11.95 ((~(v197(constB79) <=> (~((~v182(constB79)) | (~v191(constB79)))))) | (~v197(constB79)) | (~((~v182(constB79)) | (~v191(constB79))))),
% 15.90/11.95 inference(tautology,[status(thm)],[])).
% 15.90/11.95 tff(35386,plain,
% 15.90/11.95 (~v197(constB79)),
% 15.90/11.95 inference(unit_resolution,[status(thm)],[35385, 35384, 35320])).
% 15.90/11.95 tff(35387,plain,
% 15.90/11.95 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB79) <=> (~((~v158(constB79)) | (~v199(constB79)))))),
% 15.90/11.95 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35388,plain,
% 15.90/11.96 (v198(constB79) <=> (~((~v158(constB79)) | (~v199(constB79))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35387, 102])).
% 15.90/11.96 tff(35389,plain,
% 15.90/11.96 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB79) <=> v180(constB79))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35390,plain,
% 15.90/11.96 (v158(constB79) <=> v180(constB79)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35389, 358])).
% 15.90/11.96 tff(35391,plain,
% 15.90/11.96 (((~![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)))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35392,plain,
% 15.90/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35393,plain,
% 15.90/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78))),
% 15.90/11.96 inference(modus_ponens,[status(thm)],[35392, 35391])).
% 15.90/11.96 tff(35394,plain,
% 15.90/11.96 (v180(constB79) <=> v178(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35393, 4845, 370])).
% 15.90/11.96 tff(35395,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB78) <=> (v181(constB78) | v185(constB78)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35396,plain,
% 15.90/11.96 (v178(constB78) <=> (v181(constB78) | v185(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35395, 384])).
% 15.90/11.96 tff(35397,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35398,plain,
% 15.90/11.96 (v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35397, 396])).
% 15.90/11.96 tff(35399,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB78) <=> (~((~v184(constB78)) | (~v160(constB78)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35400,plain,
% 15.90/11.96 (v187(constB78) <=> (~((~v184(constB78)) | (~v160(constB78))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35399, 408])).
% 15.90/11.96 tff(35401,plain,
% 15.90/11.96 (((~v184(constB78)) | (~v160(constB78))) | v184(constB78)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35402,plain,
% 15.90/11.96 ((~v184(constB78)) | (~v160(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35401, 16985])).
% 15.90/11.96 tff(35403,plain,
% 15.90/11.96 ((~(v187(constB78) <=> (~((~v184(constB78)) | (~v160(constB78)))))) | (~v187(constB78)) | (~((~v184(constB78)) | (~v160(constB78))))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35404,plain,
% 15.90/11.96 ((~(v187(constB78) <=> (~((~v184(constB78)) | (~v160(constB78)))))) | (~v187(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35403, 35402])).
% 15.90/11.96 tff(35405,plain,
% 15.90/11.96 (~v187(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35404, 35400])).
% 15.90/11.96 tff(35406,plain,
% 15.90/11.96 (((~v186(constB78)) | (~v187(constB78))) | v187(constB78)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35407,plain,
% 15.90/11.96 ((~v186(constB78)) | (~v187(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35406, 35405])).
% 15.90/11.96 tff(35408,plain,
% 15.90/11.96 ((~(v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78)))))) | (~v185(constB78)) | (~((~v186(constB78)) | (~v187(constB78))))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35409,plain,
% 15.90/11.96 (~v185(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35408, 35407, 35398])).
% 15.90/11.96 tff(35410,plain,
% 15.90/11.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78))))))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35411,plain,
% 15.90/11.96 ((v181(constB78) <=> (~((~v182(constB78)) | (~v158(constB78))))) <=> (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78)))))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35412,plain,
% 15.90/11.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v158(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78))))))),
% 15.90/11.96 inference(monotonicity,[status(thm)],[35411])).
% 15.90/11.96 tff(35413,plain,
% 15.90/11.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v158(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78))))))),
% 15.90/11.96 inference(transitivity,[status(thm)],[35412, 35410])).
% 15.90/11.96 tff(35414,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v158(constB78)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35415,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78)))))),
% 15.90/11.96 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 15.90/11.96 tff(35416,plain,
% 15.90/11.96 (v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35415, 444])).
% 15.90/11.96 tff(35417,plain,
% 15.90/11.96 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB78) <=> v180(constB78))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35418,plain,
% 15.90/11.96 (v158(constB78) <=> v180(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35417, 358])).
% 15.90/11.96 tff(35419,plain,
% 15.90/11.96 (((~![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)))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35420,plain,
% 15.90/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35421,plain,
% 15.90/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77))),
% 15.90/11.96 inference(modus_ponens,[status(thm)],[35420, 35419])).
% 15.90/11.96 tff(35422,plain,
% 15.90/11.96 (v180(constB78) <=> v178(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35421, 4877, 370])).
% 15.90/11.96 tff(35423,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB77) <=> (v181(constB77) | v185(constB77)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35424,plain,
% 15.90/11.96 (v178(constB77) <=> (v181(constB77) | v185(constB77))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35423, 384])).
% 15.90/11.96 tff(35425,plain,
% 15.90/11.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77))))))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35426,plain,
% 15.90/11.96 ((v181(constB77) <=> (~((~v182(constB77)) | (~v158(constB77))))) <=> (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77)))))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35427,plain,
% 15.90/11.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v158(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77))))))),
% 15.90/11.96 inference(monotonicity,[status(thm)],[35426])).
% 15.90/11.96 tff(35428,plain,
% 15.90/11.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v158(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77))))))),
% 15.90/11.96 inference(transitivity,[status(thm)],[35427, 35425])).
% 15.90/11.96 tff(35429,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v158(constB77)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35430,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77)))))),
% 15.90/11.96 inference(modus_ponens,[status(thm)],[35429, 35428])).
% 15.90/11.96 tff(35431,plain,
% 15.90/11.96 (v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35430, 444])).
% 15.90/11.96 tff(35432,plain,
% 15.90/11.96 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB77)) <=> v183(constB77))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35433,plain,
% 15.90/11.96 ((~v182(constB77)) <=> v183(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35432, 205])).
% 15.90/11.96 tff(35434,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB77) <=> (v184(constB77) | v26(constB77)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35435,plain,
% 15.90/11.96 (v183(constB77) <=> (v184(constB77) | v26(constB77))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35434, 214])).
% 15.90/11.96 tff(35436,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35437,plain,
% 15.90/11.96 (v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35436, 138])).
% 15.90/11.96 tff(35438,plain,
% 15.90/11.96 (((~![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)))),
% 15.90/11.96 inference(rewrite,[status(thm)],[])).
% 15.90/11.96 tff(35439,plain,
% 15.90/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35440,plain,
% 15.90/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77))),
% 15.90/11.96 inference(modus_ponens,[status(thm)],[35439, 35438])).
% 15.90/11.96 tff(35441,plain,
% 15.90/11.96 (v13(constB78) <=> v9(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35440, 4877, 228])).
% 15.90/11.96 tff(35442,plain,
% 15.90/11.96 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB78) <=> v13(constB78))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35443,plain,
% 15.90/11.96 (v6(constB78) <=> v13(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35442, 242])).
% 15.90/11.96 tff(35444,plain,
% 15.90/11.96 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB78)) <=> v6(constB78))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35445,plain,
% 15.90/11.96 ((~v21(constB78)) <=> v6(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35444, 251])).
% 15.90/11.96 tff(35446,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB78) <=> (v20(constB78) | v21(constB78)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35447,plain,
% 15.90/11.96 (v19(constB78) <=> (v20(constB78) | v21(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35446, 260])).
% 15.90/11.96 tff(35448,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35449,plain,
% 15.90/11.96 (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35448, 272])).
% 15.90/11.96 tff(35450,plain,
% 15.90/11.96 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB78)) <=> v18(constB78))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35451,plain,
% 15.90/11.96 ((~v4(constB78)) <=> v18(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35450, 281])).
% 15.90/11.96 tff(35452,plain,
% 15.90/11.96 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB78)),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35453,plain,
% 15.90/11.96 (v4(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35452, 290])).
% 15.90/11.96 tff(35454,plain,
% 15.90/11.96 ((~((~v4(constB78)) <=> v18(constB78))) | (~v4(constB78)) | (~v18(constB78))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35455,plain,
% 15.90/11.96 (~v18(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35454, 35453, 35451])).
% 15.90/11.96 tff(35456,plain,
% 15.90/11.96 ((~(v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))) | v18(constB78) | ((~v19(constB78)) | (~v22(constB78)))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35457,plain,
% 15.90/11.96 ((~v19(constB78)) | (~v22(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35456, 35455, 35449])).
% 15.90/11.96 tff(35458,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB78) <=> (v1(constB78) | v6(constB78)))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35459,plain,
% 15.90/11.96 (v22(constB78) <=> (v1(constB78) | v6(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35458, 303])).
% 15.90/11.96 tff(35460,plain,
% 15.90/11.96 ((v1(constB78) | v6(constB78)) | (~v1(constB78))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35461,plain,
% 15.90/11.96 (v1(constB78) | v6(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35460, 4907])).
% 15.90/11.96 tff(35462,plain,
% 15.90/11.96 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78) | (~(v1(constB78) | v6(constB78)))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35463,plain,
% 15.90/11.96 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35462, 35461])).
% 15.90/11.96 tff(35464,plain,
% 15.90/11.96 (v22(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35463, 35459])).
% 15.90/11.96 tff(35465,plain,
% 15.90/11.96 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78)) | (~v22(constB78))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35466,plain,
% 15.90/11.96 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35465, 35464])).
% 15.90/11.96 tff(35467,plain,
% 15.90/11.96 (~v19(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35466, 35457])).
% 15.90/11.96 tff(35468,plain,
% 15.90/11.96 ((~(v19(constB78) <=> (v20(constB78) | v21(constB78)))) | v19(constB78) | (~(v20(constB78) | v21(constB78)))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35469,plain,
% 15.90/11.96 (~(v20(constB78) | v21(constB78))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35468, 35467, 35447])).
% 15.90/11.96 tff(35470,plain,
% 15.90/11.96 ((v20(constB78) | v21(constB78)) | (~v21(constB78))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35471,plain,
% 15.90/11.96 (~v21(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35470, 35469])).
% 15.90/11.96 tff(35472,plain,
% 15.90/11.96 ((~((~v21(constB78)) <=> v6(constB78))) | v21(constB78) | v6(constB78)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35473,plain,
% 15.90/11.96 (v6(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35472, 35471, 35445])).
% 15.90/11.96 tff(35474,plain,
% 15.90/11.96 ((~(v6(constB78) <=> v13(constB78))) | (~v6(constB78)) | v13(constB78)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35475,plain,
% 15.90/11.96 (v13(constB78)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35474, 35473, 35443])).
% 15.90/11.96 tff(35476,plain,
% 15.90/11.96 ((~(v13(constB78) <=> v9(constB77))) | (~v13(constB78)) | v9(constB77)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35477,plain,
% 15.90/11.96 (v9(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35476, 35475, 35441])).
% 15.90/11.96 tff(35478,plain,
% 15.90/11.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB77)) <=> v1(constB77))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35479,plain,
% 15.90/11.96 ((~v39(constB77)) <=> v1(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35478, 147])).
% 15.90/11.96 tff(35480,plain,
% 15.90/11.96 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77) | v1(constB77)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35481,plain,
% 15.90/11.96 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35480, 4899])).
% 15.90/11.96 tff(35482,plain,
% 15.90/11.96 (v39(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35481, 35479])).
% 15.90/11.96 tff(35483,plain,
% 15.90/11.96 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v39(constB77)) | (~v9(constB77))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35484,plain,
% 15.90/11.96 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v9(constB77))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35483, 35482])).
% 15.90/11.96 tff(35485,plain,
% 15.90/11.96 (~((~v39(constB77)) | (~v9(constB77)))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35484, 35477])).
% 15.90/11.96 tff(35486,plain,
% 15.90/11.96 ((~(v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))) | v184(constB77) | ((~v39(constB77)) | (~v9(constB77)))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35487,plain,
% 15.90/11.96 (v184(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35486, 35485, 35437])).
% 15.90/11.96 tff(35488,plain,
% 15.90/11.96 ((v184(constB77) | v26(constB77)) | (~v184(constB77))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35489,plain,
% 15.90/11.96 (v184(constB77) | v26(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35488, 35487])).
% 15.90/11.96 tff(35490,plain,
% 15.90/11.96 ((~(v183(constB77) <=> (v184(constB77) | v26(constB77)))) | v183(constB77) | (~(v184(constB77) | v26(constB77)))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35491,plain,
% 15.90/11.96 (v183(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35490, 35489, 35435])).
% 15.90/11.96 tff(35492,plain,
% 15.90/11.96 ((~((~v182(constB77)) <=> v183(constB77))) | (~v182(constB77)) | (~v183(constB77))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35493,plain,
% 15.90/11.96 (~v182(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35492, 35491, 35433])).
% 15.90/11.96 tff(35494,plain,
% 15.90/11.96 (((~v158(constB77)) | (~v182(constB77))) | v182(constB77)),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35495,plain,
% 15.90/11.96 ((~v158(constB77)) | (~v182(constB77))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35494, 35493])).
% 15.90/11.96 tff(35496,plain,
% 15.90/11.96 ((~(v181(constB77) <=> (~((~v158(constB77)) | (~v182(constB77)))))) | (~v181(constB77)) | (~((~v158(constB77)) | (~v182(constB77))))),
% 15.90/11.96 inference(tautology,[status(thm)],[])).
% 15.90/11.96 tff(35497,plain,
% 15.90/11.96 (~v181(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35496, 35495, 35431])).
% 15.90/11.96 tff(35498,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35499,plain,
% 15.90/11.96 (v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35498, 396])).
% 15.90/11.96 tff(35500,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB77) <=> (~((~v184(constB77)) | (~v160(constB77)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35501,plain,
% 15.90/11.96 (v187(constB77) <=> (~((~v184(constB77)) | (~v160(constB77))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35500, 408])).
% 15.90/11.96 tff(35502,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB77) <=> v162(constB77))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35503,plain,
% 15.90/11.96 (v160(constB77) <=> v162(constB77)),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35502, 549])).
% 15.90/11.96 tff(35504,plain,
% 15.90/11.96 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | (~v88(constB77, bitIndex0)))))),
% 15.90/11.96 inference(quant_inst,[status(thm)],[])).
% 15.90/11.96 tff(35505,plain,
% 15.90/11.96 (v141(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | (~v88(constB77, bitIndex0))))),
% 15.90/11.96 inference(unit_resolution,[status(thm)],[35504, 564])).
% 15.90/11.97 tff(35506,plain,
% 15.90/11.97 (((~![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)))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35507,plain,
% 15.90/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35508,plain,
% 15.90/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0))),
% 15.90/11.97 inference(modus_ponens,[status(thm)],[35507, 35506])).
% 15.90/11.97 tff(35509,plain,
% 15.90/11.97 (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35508, 1275, 576])).
% 15.90/11.97 tff(35510,plain,
% 15.90/11.97 ((~(v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0))) | (~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0)),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35511,plain,
% 15.90/11.97 (~v88(constB77, bitIndex0)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35510, 13102, 35509])).
% 15.90/11.97 tff(35512,plain,
% 15.90/11.97 ((v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | (~v88(constB77, bitIndex0))) | v88(constB77, bitIndex0)),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35513,plain,
% 15.90/11.97 (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | (~v88(constB77, bitIndex0))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35512, 35511])).
% 15.90/11.97 tff(35514,plain,
% 15.90/11.97 ((~(v141(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | (~v88(constB77, bitIndex0)))))) | (~v141(constB77)) | (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | (~v88(constB77, bitIndex0))))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35515,plain,
% 15.90/11.97 (~v141(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35514, 35513, 35505])).
% 15.90/11.97 tff(35516,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB77) <=> (v139(constB77) | v140(constB77)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35517,plain,
% 15.90/11.97 (v170(constB77) <=> (v139(constB77) | v140(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35516, 2216])).
% 15.90/11.97 tff(35518,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2))))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35519,plain,
% 15.90/11.97 (v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35518, 2231])).
% 15.90/11.97 tff(35520,plain,
% 15.90/11.97 (((~![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)))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35521,plain,
% 15.90/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35522,plain,
% 15.90/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1))),
% 15.90/11.97 inference(modus_ponens,[status(thm)],[35521, 35520])).
% 15.90/11.97 tff(35523,plain,
% 15.90/11.97 (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35522, 1288, 576])).
% 15.90/11.97 tff(35524,plain,
% 15.90/11.97 ((~(v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1))) | v88(constB77, bitIndex1) | (~v90(constB77, bitIndex1))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35525,plain,
% 15.90/11.97 (v88(constB77, bitIndex1)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35524, 13133, 35523])).
% 15.90/11.97 tff(35526,plain,
% 15.90/11.97 ((v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)) | (~v88(constB77, bitIndex1))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35527,plain,
% 15.90/11.97 (v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35526, 35525])).
% 15.90/11.97 tff(35528,plain,
% 15.90/11.97 ((~(v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2))))) | (~v139(constB77)) | (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35529,plain,
% 15.90/11.97 (~v139(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35528, 35527, 35519])).
% 15.90/11.97 tff(35530,plain,
% 15.90/11.97 (((~![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))))))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35531,plain,
% 15.90/11.97 ((v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0))))) <=> (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35532,plain,
% 15.90/11.97 (((~![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))))))),
% 15.90/11.97 inference(monotonicity,[status(thm)],[35531])).
% 15.90/11.97 tff(35533,plain,
% 15.90/11.97 (((~![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))))))),
% 15.90/11.97 inference(transitivity,[status(thm)],[35532, 35530])).
% 15.90/11.97 tff(35534,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0)))))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35535,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))),
% 15.90/11.97 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 15.90/11.97 tff(35536,plain,
% 15.90/11.97 (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35535, 2250])).
% 15.90/11.97 tff(35537,plain,
% 15.90/11.97 ((v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))) | (~v88(constB77, bitIndex1))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35538,plain,
% 15.90/11.97 (v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35537, 35525])).
% 15.90/11.97 tff(35539,plain,
% 15.90/11.97 ((~(v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))) | (~v140(constB77)) | (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35540,plain,
% 15.90/11.97 (~v140(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35539, 35538, 35536])).
% 15.90/11.97 tff(35541,plain,
% 15.90/11.97 ((~(v139(constB77) | v140(constB77))) | v139(constB77) | v140(constB77)),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35542,plain,
% 15.90/11.97 (~(v139(constB77) | v140(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35541, 35540, 35529])).
% 15.90/11.97 tff(35543,plain,
% 15.90/11.97 ((~(v170(constB77) <=> (v139(constB77) | v140(constB77)))) | (~v170(constB77)) | (v139(constB77) | v140(constB77))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35544,plain,
% 15.90/11.97 (~v170(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35543, 35542, 35517])).
% 15.90/11.97 tff(35545,plain,
% 15.90/11.97 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB77) | v170(constB77) | (~v169(constB77)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB77) | v170(constB77) | (~v169(constB77)))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35546,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB77) | v170(constB77) | (~v169(constB77)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35547,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB77) | v170(constB77) | (~v169(constB77))),
% 15.90/11.97 inference(modus_ponens,[status(thm)],[35546, 35545])).
% 15.90/11.97 tff(35548,plain,
% 15.90/11.97 (v141(constB77) | v170(constB77) | (~v169(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35547, 2278])).
% 15.90/11.97 tff(35549,plain,
% 15.90/11.97 (~v169(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35548, 35544, 35515])).
% 15.90/11.97 tff(35550,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB77) <=> (v145(constB77) | v166(constB77)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35551,plain,
% 15.90/11.97 (v165(constB77) <=> (v145(constB77) | v166(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35550, 2293])).
% 15.90/11.97 tff(35552,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB77) <=> (v142(constB77) | v167(constB77)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35553,plain,
% 15.90/11.97 (v166(constB77) <=> (v142(constB77) | v167(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35552, 2804])).
% 15.90/11.97 tff(35554,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB77) <=> (v143(constB77) | v144(constB77)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35555,plain,
% 15.90/11.97 (v142(constB77) <=> (v143(constB77) | v144(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35554, 2813])).
% 15.90/11.97 tff(35556,plain,
% 15.90/11.97 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35557,plain,
% 15.90/11.97 (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1))))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35556, 16089])).
% 15.90/11.97 tff(35558,plain,
% 15.90/11.97 (((~![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)))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35559,plain,
% 15.90/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35560,plain,
% 15.90/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2))),
% 15.90/11.97 inference(modus_ponens,[status(thm)],[35559, 35558])).
% 15.90/11.97 tff(35561,plain,
% 15.90/11.97 (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35560, 579, 576])).
% 15.90/11.97 tff(35562,plain,
% 15.90/11.97 ((~(v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2))) | (~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2)),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35563,plain,
% 15.90/11.97 (~v88(constB77, bitIndex2)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35562, 13071, 35561])).
% 15.90/11.97 tff(35564,plain,
% 15.90/11.97 ((~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))) | v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35565,plain,
% 15.90/11.97 (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35564, 35525, 35511, 35563])).
% 15.90/11.97 tff(35566,plain,
% 15.90/11.97 ((~(v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))) | v143(constB77) | (v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35567,plain,
% 15.90/11.97 (v143(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35566, 35565, 35557])).
% 15.90/11.97 tff(35568,plain,
% 15.90/11.97 ((v143(constB77) | v144(constB77)) | (~v143(constB77))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35569,plain,
% 15.90/11.97 (v143(constB77) | v144(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35568, 35567])).
% 15.90/11.97 tff(35570,plain,
% 15.90/11.97 ((~(v142(constB77) <=> (v143(constB77) | v144(constB77)))) | v142(constB77) | (~(v143(constB77) | v144(constB77)))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35571,plain,
% 15.90/11.97 (v142(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35570, 35569, 35555])).
% 15.90/11.97 tff(35572,plain,
% 15.90/11.97 ((v142(constB77) | v167(constB77)) | (~v142(constB77))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35573,plain,
% 15.90/11.97 (v142(constB77) | v167(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35572, 35571])).
% 15.90/11.97 tff(35574,plain,
% 15.90/11.97 ((~(v166(constB77) <=> (v142(constB77) | v167(constB77)))) | v166(constB77) | (~(v142(constB77) | v167(constB77)))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35575,plain,
% 15.90/11.97 (v166(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35574, 35573, 35553])).
% 15.90/11.97 tff(35576,plain,
% 15.90/11.97 ((v145(constB77) | v166(constB77)) | (~v166(constB77))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35577,plain,
% 15.90/11.97 (v145(constB77) | v166(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35576, 35575])).
% 15.90/11.97 tff(35578,plain,
% 15.90/11.97 ((~(v165(constB77) <=> (v145(constB77) | v166(constB77)))) | v165(constB77) | (~(v145(constB77) | v166(constB77)))),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.97 tff(35579,plain,
% 15.90/11.97 (v165(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35578, 35577, 35551])).
% 15.90/11.97 tff(35580,plain,
% 15.90/11.97 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB77)) | (v162(constB77) <=> v169(constB77)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB77)) | (v162(constB77) <=> v169(constB77)))),
% 15.90/11.97 inference(rewrite,[status(thm)],[])).
% 15.90/11.97 tff(35581,plain,
% 15.90/11.97 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB77)) | (v162(constB77) <=> v169(constB77)))),
% 15.90/11.97 inference(quant_inst,[status(thm)],[])).
% 15.90/11.97 tff(35582,plain,
% 15.90/11.97 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB77)) | (v162(constB77) <=> v169(constB77))),
% 15.90/11.97 inference(modus_ponens,[status(thm)],[35581, 35580])).
% 15.90/11.97 tff(35583,plain,
% 15.90/11.97 ((~v165(constB77)) | (v162(constB77) <=> v169(constB77))),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35582, 2426])).
% 15.90/11.97 tff(35584,plain,
% 15.90/11.97 (v162(constB77) <=> v169(constB77)),
% 15.90/11.97 inference(unit_resolution,[status(thm)],[35583, 35579])).
% 15.90/11.97 tff(35585,plain,
% 15.90/11.97 ((~(v162(constB77) <=> v169(constB77))) | (~v162(constB77)) | v169(constB77)),
% 15.90/11.97 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35586,plain,
% 15.90/11.98 (~v162(constB77)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35585, 35584, 35549])).
% 15.90/11.98 tff(35587,plain,
% 15.90/11.98 ((~(v160(constB77) <=> v162(constB77))) | (~v160(constB77)) | v162(constB77)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35588,plain,
% 15.90/11.98 ((~(v160(constB77) <=> v162(constB77))) | (~v160(constB77))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35587, 35586])).
% 15.90/11.98 tff(35589,plain,
% 15.90/11.98 (~v160(constB77)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35588, 35503])).
% 15.90/11.98 tff(35590,plain,
% 15.90/11.98 (((~v184(constB77)) | (~v160(constB77))) | v160(constB77)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35591,plain,
% 15.90/11.98 ((~v184(constB77)) | (~v160(constB77))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35590, 35589])).
% 15.90/11.98 tff(35592,plain,
% 15.90/11.98 ((~(v187(constB77) <=> (~((~v184(constB77)) | (~v160(constB77)))))) | (~v187(constB77)) | (~((~v184(constB77)) | (~v160(constB77))))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35593,plain,
% 15.90/11.98 (~v187(constB77)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35592, 35591, 35501])).
% 15.90/11.98 tff(35594,plain,
% 15.90/11.98 (((~v186(constB77)) | (~v187(constB77))) | v187(constB77)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35595,plain,
% 15.90/11.98 ((~v186(constB77)) | (~v187(constB77))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35594, 35593])).
% 15.90/11.98 tff(35596,plain,
% 15.90/11.98 ((~(v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77)))))) | (~v185(constB77)) | (~((~v186(constB77)) | (~v187(constB77))))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35597,plain,
% 15.90/11.98 (~v185(constB77)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35596, 35595, 35499])).
% 15.90/11.98 tff(35598,plain,
% 15.90/11.98 ((~(v181(constB77) | v185(constB77))) | v181(constB77) | v185(constB77)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35599,plain,
% 15.90/11.98 (~(v181(constB77) | v185(constB77))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35598, 35597, 35497])).
% 15.90/11.98 tff(35600,plain,
% 15.90/11.98 ((~(v178(constB77) <=> (v181(constB77) | v185(constB77)))) | (~v178(constB77)) | (v181(constB77) | v185(constB77))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35601,plain,
% 15.90/11.98 (~v178(constB77)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35600, 35599, 35424])).
% 15.90/11.98 tff(35602,plain,
% 15.90/11.98 ((~(v180(constB78) <=> v178(constB77))) | (~v180(constB78)) | v178(constB77)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35603,plain,
% 15.90/11.98 (~v180(constB78)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35602, 35601, 35422])).
% 15.90/11.98 tff(35604,plain,
% 15.90/11.98 ((~(v158(constB78) <=> v180(constB78))) | (~v158(constB78)) | v180(constB78)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35605,plain,
% 15.90/11.98 (~v158(constB78)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35604, 35603, 35418])).
% 15.90/11.98 tff(35606,plain,
% 15.90/11.98 (((~v158(constB78)) | (~v182(constB78))) | v158(constB78)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35607,plain,
% 15.90/11.98 ((~v158(constB78)) | (~v182(constB78))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35606, 35605])).
% 15.90/11.98 tff(35608,plain,
% 15.90/11.98 ((~(v181(constB78) <=> (~((~v158(constB78)) | (~v182(constB78)))))) | (~v181(constB78)) | (~((~v158(constB78)) | (~v182(constB78))))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35609,plain,
% 15.90/11.98 (~v181(constB78)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35608, 35607, 35416])).
% 15.90/11.98 tff(35610,plain,
% 15.90/11.98 ((~(v181(constB78) | v185(constB78))) | v181(constB78) | v185(constB78)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35611,plain,
% 15.90/11.98 (~(v181(constB78) | v185(constB78))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35610, 35609, 35409])).
% 15.90/11.98 tff(35612,plain,
% 15.90/11.98 ((~(v178(constB78) <=> (v181(constB78) | v185(constB78)))) | (~v178(constB78)) | (v181(constB78) | v185(constB78))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35613,plain,
% 15.90/11.98 (~v178(constB78)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35612, 35611, 35396])).
% 15.90/11.98 tff(35614,plain,
% 15.90/11.98 ((~(v180(constB79) <=> v178(constB78))) | (~v180(constB79)) | v178(constB78)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35615,plain,
% 15.90/11.98 (~v180(constB79)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35614, 35613, 35394])).
% 15.90/11.98 tff(35616,plain,
% 15.90/11.98 ((~(v158(constB79) <=> v180(constB79))) | (~v158(constB79)) | v180(constB79)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35617,plain,
% 15.90/11.98 (~v158(constB79)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35616, 35615, 35390])).
% 15.90/11.98 tff(35618,plain,
% 15.90/11.98 (((~v158(constB79)) | (~v199(constB79))) | v158(constB79)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35619,plain,
% 15.90/11.98 ((~v158(constB79)) | (~v199(constB79))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35618, 35617])).
% 15.90/11.98 tff(35620,plain,
% 15.90/11.98 ((~(v198(constB79) <=> (~((~v158(constB79)) | (~v199(constB79)))))) | (~v198(constB79)) | (~((~v158(constB79)) | (~v199(constB79))))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35621,plain,
% 15.90/11.98 (~v198(constB79)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35620, 35619, 35388])).
% 15.90/11.98 tff(35622,plain,
% 15.90/11.98 ((~(v197(constB79) | v198(constB79))) | v197(constB79) | v198(constB79)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35623,plain,
% 15.90/11.98 (~(v197(constB79) | v198(constB79))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35622, 35621, 35386])).
% 15.90/11.98 tff(35624,plain,
% 15.90/11.98 ((~(v194(constB79) <=> (v197(constB79) | v198(constB79)))) | (~v194(constB79)) | (v197(constB79) | v198(constB79))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35625,plain,
% 15.90/11.98 (~v194(constB79)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35624, 35623, 35318])).
% 15.90/11.98 tff(35626,plain,
% 15.90/11.98 ((~(v196(constB80) <=> v194(constB79))) | (~v196(constB80)) | v194(constB79)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35627,plain,
% 15.90/11.98 (~v196(constB80)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35626, 35625, 35316])).
% 15.90/11.98 tff(35628,plain,
% 15.90/11.98 ((~(v191(constB80) <=> v196(constB80))) | (~v191(constB80)) | v196(constB80)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35629,plain,
% 15.90/11.98 (~v191(constB80)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35628, 35627, 35312])).
% 15.90/11.98 tff(35630,plain,
% 15.90/11.98 (((~v182(constB80)) | (~v191(constB80))) | v191(constB80)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35631,plain,
% 15.90/11.98 ((~v182(constB80)) | (~v191(constB80))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35630, 35629])).
% 15.90/11.98 tff(35632,plain,
% 15.90/11.98 ((~(v197(constB80) <=> (~((~v182(constB80)) | (~v191(constB80)))))) | (~v197(constB80)) | (~((~v182(constB80)) | (~v191(constB80))))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35633,plain,
% 15.90/11.98 (~v197(constB80)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35632, 35631, 35310])).
% 15.90/11.98 tff(35634,plain,
% 15.90/11.98 ((~(v197(constB80) | v198(constB80))) | v197(constB80) | v198(constB80)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35635,plain,
% 15.90/11.98 (~(v197(constB80) | v198(constB80))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35634, 35633, 35308])).
% 15.90/11.98 tff(35636,plain,
% 15.90/11.98 ((~(v194(constB80) <=> (v197(constB80) | v198(constB80)))) | (~v194(constB80)) | (v197(constB80) | v198(constB80))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35637,plain,
% 15.90/11.98 (~v194(constB80)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35636, 35635, 35289])).
% 15.90/11.98 tff(35638,plain,
% 15.90/11.98 ((~(v196(constB81) <=> v194(constB80))) | (~v196(constB81)) | v194(constB80)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35639,plain,
% 15.90/11.98 (~v196(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35638, 35637, 35287])).
% 15.90/11.98 tff(35640,plain,
% 15.90/11.98 ((~(v191(constB81) <=> v196(constB81))) | (~v191(constB81)) | v196(constB81)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35641,plain,
% 15.90/11.98 (~v191(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35640, 35639, 35283])).
% 15.90/11.98 tff(35642,plain,
% 15.90/11.98 (((~v191(constB81)) | (~v206(constB81))) | v191(constB81)),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35643,plain,
% 15.90/11.98 ((~v191(constB81)) | (~v206(constB81))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35642, 35641])).
% 15.90/11.98 tff(35644,plain,
% 15.90/11.98 ((~(v209(constB81) <=> (~((~v191(constB81)) | (~v206(constB81)))))) | (~v209(constB81)) | (~((~v191(constB81)) | (~v206(constB81))))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35645,plain,
% 15.90/11.98 (~v209(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35644, 35643, 35281])).
% 15.90/11.98 tff(35646,plain,
% 15.90/11.98 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81))))))),
% 15.90/11.98 inference(rewrite,[status(thm)],[])).
% 15.90/11.98 tff(35647,plain,
% 15.90/11.98 ((v205(constB81) <=> (~((~v206(constB81)) | (~v158(constB81))))) <=> (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81)))))),
% 15.90/11.98 inference(rewrite,[status(thm)],[])).
% 15.90/11.98 tff(35648,plain,
% 15.90/11.98 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v206(constB81)) | (~v158(constB81)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81))))))),
% 15.90/11.98 inference(monotonicity,[status(thm)],[35647])).
% 15.90/11.98 tff(35649,plain,
% 15.90/11.98 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v206(constB81)) | (~v158(constB81)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81))))))),
% 15.90/11.98 inference(transitivity,[status(thm)],[35648, 35646])).
% 15.90/11.98 tff(35650,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v206(constB81)) | (~v158(constB81)))))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35651,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81)))))),
% 15.90/11.98 inference(modus_ponens,[status(thm)],[35650, 35649])).
% 15.90/11.98 tff(35652,plain,
% 15.90/11.98 (v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81))))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35651, 2502])).
% 15.90/11.98 tff(35653,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB81) <=> (~((~v186(constB81)) | (~v207(constB81)))))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35654,plain,
% 15.90/11.98 (v206(constB81) <=> (~((~v186(constB81)) | (~v207(constB81))))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35653, 16227])).
% 15.90/11.98 tff(35655,plain,
% 15.90/11.98 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81))))))),
% 15.90/11.98 inference(rewrite,[status(thm)],[])).
% 15.90/11.98 tff(35656,plain,
% 15.90/11.98 ((v207(constB81) <=> (~((~v208(constB81)) | (~v184(constB81))))) <=> (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81)))))),
% 15.90/11.98 inference(rewrite,[status(thm)],[])).
% 15.90/11.98 tff(35657,plain,
% 15.90/11.98 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v208(constB81)) | (~v184(constB81)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81))))))),
% 15.90/11.98 inference(monotonicity,[status(thm)],[35656])).
% 15.90/11.98 tff(35658,plain,
% 15.90/11.98 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v208(constB81)) | (~v184(constB81)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81))))))),
% 15.90/11.98 inference(transitivity,[status(thm)],[35657, 35655])).
% 15.90/11.98 tff(35659,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v208(constB81)) | (~v184(constB81)))))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35660,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81)))))),
% 15.90/11.98 inference(modus_ponens,[status(thm)],[35659, 35658])).
% 15.90/11.98 tff(35661,plain,
% 15.90/11.98 (v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81))))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35660, 16239])).
% 15.90/11.98 tff(35662,plain,
% 15.90/11.98 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(constB81)) <=> v84(constB81))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35663,plain,
% 15.90/11.98 ((~v208(constB81)) <=> v84(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35662, 16253])).
% 15.90/11.98 tff(35664,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB81) <=> v86(constB81))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35665,plain,
% 15.90/11.98 (v84(constB81) <=> v86(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35664, 16262])).
% 15.90/11.98 tff(35666,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB81) <=> (v136(constB81) | v145(constB81)))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35667,plain,
% 15.90/11.98 (v135(constB81) <=> (v136(constB81) | v145(constB81))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35666, 16271])).
% 15.90/11.98 tff(35668,plain,
% 15.90/11.98 ((v136(constB81) | v145(constB81)) | (~v145(constB81))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35669,plain,
% 15.90/11.98 (v136(constB81) | v145(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35668, 33184])).
% 15.90/11.98 tff(35670,plain,
% 15.90/11.98 ((~(v135(constB81) <=> (v136(constB81) | v145(constB81)))) | v135(constB81) | (~(v136(constB81) | v145(constB81)))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35671,plain,
% 15.90/11.98 (v135(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35670, 35669, 35667])).
% 15.90/11.98 tff(35672,plain,
% 15.90/11.98 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB81)) | (v86(constB81) <=> v148(constB81)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB81)) | (v86(constB81) <=> v148(constB81)))),
% 15.90/11.98 inference(rewrite,[status(thm)],[])).
% 15.90/11.98 tff(35673,plain,
% 15.90/11.98 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB81)) | (v86(constB81) <=> v148(constB81)))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35674,plain,
% 15.90/11.98 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB81)) | (v86(constB81) <=> v148(constB81))),
% 15.90/11.98 inference(modus_ponens,[status(thm)],[35673, 35672])).
% 15.90/11.98 tff(35675,plain,
% 15.90/11.98 ((~v135(constB81)) | (v86(constB81) <=> v148(constB81))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35674, 16814])).
% 15.90/11.98 tff(35676,plain,
% 15.90/11.98 (v86(constB81) <=> v148(constB81)),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35675, 35671])).
% 15.90/11.98 tff(35677,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB81) <=> (v142(constB81) | v151(constB81)))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35678,plain,
% 15.90/11.98 (v149(constB81) <=> (v142(constB81) | v151(constB81))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35677, 16829])).
% 15.90/11.98 tff(35679,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB81) <=> (v143(constB81) | v144(constB81)))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35680,plain,
% 15.90/11.98 (v142(constB81) <=> (v143(constB81) | v144(constB81))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35679, 2813])).
% 15.90/11.98 tff(35681,plain,
% 15.90/11.98 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)))))),
% 15.90/11.98 inference(quant_inst,[status(thm)],[])).
% 15.90/11.98 tff(35682,plain,
% 15.90/11.98 (v143(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1))))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35681, 16089])).
% 15.90/11.98 tff(35683,plain,
% 15.90/11.98 ((v88(constB81, bitIndex0) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1))) | (~v88(constB81, bitIndex2))),
% 15.90/11.98 inference(tautology,[status(thm)],[])).
% 15.90/11.98 tff(35684,plain,
% 15.90/11.98 (v88(constB81, bitIndex0) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1))),
% 15.90/11.98 inference(unit_resolution,[status(thm)],[35683, 33121])).
% 15.90/11.98 tff(35685,plain,
% 15.90/11.98 ((~(v143(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)))))) | (~v143(constB81)) | (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35686,plain,
% 15.90/11.99 (~v143(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35685, 35684, 35682])).
% 15.90/11.99 tff(35687,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))))))),
% 15.90/11.99 inference(rewrite,[status(thm)],[])).
% 15.90/11.99 tff(35688,plain,
% 15.90/11.99 ((v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex2))))) <=> (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1)))))),
% 15.90/11.99 inference(rewrite,[status(thm)],[])).
% 15.90/11.99 tff(35689,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))))))),
% 15.90/11.99 inference(monotonicity,[status(thm)],[35688])).
% 15.90/11.99 tff(35690,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))))))),
% 15.90/11.99 inference(transitivity,[status(thm)],[35689, 35687])).
% 15.90/11.99 tff(35691,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex2)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35692,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1)))))),
% 15.90/11.99 inference(modus_ponens,[status(thm)],[35691, 35690])).
% 15.90/11.99 tff(35693,plain,
% 15.90/11.99 (v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35692, 2828])).
% 15.90/11.99 tff(35694,plain,
% 15.90/11.99 ((v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))) | v88(constB81, bitIndex1)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35695,plain,
% 15.90/11.99 (v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35694, 33176])).
% 15.90/11.99 tff(35696,plain,
% 15.90/11.99 ((~(v144(constB81) <=> (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1)))))) | (~v144(constB81)) | (~(v88(constB81, bitIndex0) | (~v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex1))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35697,plain,
% 15.90/11.99 (~v144(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35696, 35695, 35693])).
% 15.90/11.99 tff(35698,plain,
% 15.90/11.99 ((~(v143(constB81) | v144(constB81))) | v143(constB81) | v144(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35699,plain,
% 15.90/11.99 (~(v143(constB81) | v144(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35698, 35697, 35686])).
% 15.90/11.99 tff(35700,plain,
% 15.90/11.99 ((~(v142(constB81) <=> (v143(constB81) | v144(constB81)))) | (~v142(constB81)) | (v143(constB81) | v144(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35701,plain,
% 15.90/11.99 (~v142(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35700, 35699, 35680])).
% 15.90/11.99 tff(35702,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB81) <=> (v141(constB81) | v152(constB81)))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35703,plain,
% 15.90/11.99 (v151(constB81) <=> (v141(constB81) | v152(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35702, 16864])).
% 15.90/11.99 tff(35704,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB81) <=> (v139(constB81) | v140(constB81)))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35705,plain,
% 15.90/11.99 (v152(constB81) <=> (v139(constB81) | v140(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35704, 16879])).
% 15.90/11.99 tff(35706,plain,
% 15.90/11.99 ((~(v152(constB81) <=> (v139(constB81) | v140(constB81)))) | (~v152(constB81)) | (v139(constB81) | v140(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35707,plain,
% 15.90/11.99 (~v152(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35706, 33146, 35705])).
% 15.90/11.99 tff(35708,plain,
% 15.90/11.99 ((~(v141(constB81) | v152(constB81))) | v141(constB81) | v152(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35709,plain,
% 15.90/11.99 (~(v141(constB81) | v152(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35708, 35707, 33125])).
% 15.90/11.99 tff(35710,plain,
% 15.90/11.99 ((~(v151(constB81) <=> (v141(constB81) | v152(constB81)))) | (~v151(constB81)) | (v141(constB81) | v152(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35711,plain,
% 15.90/11.99 (~v151(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35710, 35709, 35703])).
% 15.90/11.99 tff(35712,plain,
% 15.90/11.99 ((~(v142(constB81) | v151(constB81))) | v142(constB81) | v151(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35713,plain,
% 15.90/11.99 (~(v142(constB81) | v151(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35712, 35711, 35701])).
% 15.90/11.99 tff(35714,plain,
% 15.90/11.99 ((~(v149(constB81) <=> (v142(constB81) | v151(constB81)))) | (~v149(constB81)) | (v142(constB81) | v151(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35715,plain,
% 15.90/11.99 (~v149(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35714, 35713, 35678])).
% 15.90/11.99 tff(35716,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB81) | v149(constB81))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB81) | v149(constB81))),
% 15.90/11.99 inference(rewrite,[status(thm)],[])).
% 15.90/11.99 tff(35717,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB81) | v149(constB81))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35718,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB81) | v149(constB81)),
% 15.90/11.99 inference(modus_ponens,[status(thm)],[35717, 35716])).
% 15.90/11.99 tff(35719,plain,
% 15.90/11.99 (v148(constB81) | v149(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35718, 16920])).
% 15.90/11.99 tff(35720,plain,
% 15.90/11.99 (v148(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35719, 35715])).
% 15.90/11.99 tff(35721,plain,
% 15.90/11.99 ((~(v86(constB81) <=> v148(constB81))) | v86(constB81) | (~v148(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35722,plain,
% 15.90/11.99 (v86(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35721, 35720, 35676])).
% 15.90/11.99 tff(35723,plain,
% 15.90/11.99 ((~(v84(constB81) <=> v86(constB81))) | v84(constB81) | (~v86(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35724,plain,
% 15.90/11.99 ((~(v84(constB81) <=> v86(constB81))) | v84(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35723, 35722])).
% 15.90/11.99 tff(35725,plain,
% 15.90/11.99 (v84(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35724, 35665])).
% 15.90/11.99 tff(35726,plain,
% 15.90/11.99 ((~((~v208(constB81)) <=> v84(constB81))) | (~v208(constB81)) | (~v84(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35727,plain,
% 15.90/11.99 ((~((~v208(constB81)) <=> v84(constB81))) | (~v208(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35726, 35725])).
% 15.90/11.99 tff(35728,plain,
% 15.90/11.99 (~v208(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35727, 35663])).
% 15.90/11.99 tff(35729,plain,
% 15.90/11.99 (((~v184(constB81)) | (~v208(constB81))) | v208(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35730,plain,
% 15.90/11.99 ((~v184(constB81)) | (~v208(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35729, 35728])).
% 15.90/11.99 tff(35731,plain,
% 15.90/11.99 ((~(v207(constB81) <=> (~((~v184(constB81)) | (~v208(constB81)))))) | (~v207(constB81)) | (~((~v184(constB81)) | (~v208(constB81))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35732,plain,
% 15.90/11.99 (~v207(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35731, 35730, 35661])).
% 15.90/11.99 tff(35733,plain,
% 15.90/11.99 (((~v186(constB81)) | (~v207(constB81))) | v207(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35734,plain,
% 15.90/11.99 ((~v186(constB81)) | (~v207(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35733, 35732])).
% 15.90/11.99 tff(35735,plain,
% 15.90/11.99 ((~(v206(constB81) <=> (~((~v186(constB81)) | (~v207(constB81)))))) | (~v206(constB81)) | (~((~v186(constB81)) | (~v207(constB81))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35736,plain,
% 15.90/11.99 (~v206(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35735, 35734, 35654])).
% 15.90/11.99 tff(35737,plain,
% 15.90/11.99 (((~v158(constB81)) | (~v206(constB81))) | v206(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35738,plain,
% 15.90/11.99 ((~v158(constB81)) | (~v206(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35737, 35736])).
% 15.90/11.99 tff(35739,plain,
% 15.90/11.99 ((~(v205(constB81) <=> (~((~v158(constB81)) | (~v206(constB81)))))) | (~v205(constB81)) | (~((~v158(constB81)) | (~v206(constB81))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35740,plain,
% 15.90/11.99 (~v205(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35739, 35738, 35652])).
% 15.90/11.99 tff(35741,plain,
% 15.90/11.99 ((~(v205(constB81) | v209(constB81))) | v205(constB81) | v209(constB81)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35742,plain,
% 15.90/11.99 (~(v205(constB81) | v209(constB81))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35741, 35740, 35645])).
% 15.90/11.99 tff(35743,plain,
% 15.90/11.99 ((~(v204(constB81) <=> (v205(constB81) | v209(constB81)))) | (~v204(constB81)) | (v205(constB81) | v209(constB81))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35744,plain,
% 15.90/11.99 (~v204(constB81)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35743, 35742, 35274])).
% 15.90/11.99 tff(35745,plain,
% 15.90/11.99 ($false),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35744, 35272])).
% 15.90/11.99 tff(35746,plain,(~(constB81 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.90/11.99 tff(35747,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 15.90/11.99 tff(35748,plain,
% 15.90/11.99 (v204(constB25) <=> v204(VarCurr!0)),
% 15.90/11.99 inference(monotonicity,[status(thm)],[35747])).
% 15.90/11.99 tff(35749,plain,
% 15.90/11.99 (v204(VarCurr!0) <=> v204(constB25)),
% 15.90/11.99 inference(symmetry,[status(thm)],[35748])).
% 15.90/11.99 tff(35750,plain,
% 15.90/11.99 (v204(constB25)),
% 15.90/11.99 inference(modus_ponens,[status(thm)],[27, 35749])).
% 15.90/11.99 tff(35751,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB25) <=> (v205(constB25) | v209(constB25)))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35752,plain,
% 15.90/11.99 (v204(constB25) <=> (v205(constB25) | v209(constB25))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35751, 35])).
% 15.90/11.99 tff(35753,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25))))))),
% 15.90/11.99 inference(rewrite,[status(thm)],[])).
% 15.90/11.99 tff(35754,plain,
% 15.90/11.99 ((v209(constB25) <=> (~((~v206(constB25)) | (~v191(constB25))))) <=> (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25)))))),
% 15.90/11.99 inference(rewrite,[status(thm)],[])).
% 15.90/11.99 tff(35755,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v206(constB25)) | (~v191(constB25)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25))))))),
% 15.90/11.99 inference(monotonicity,[status(thm)],[35754])).
% 15.90/11.99 tff(35756,plain,
% 15.90/11.99 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v206(constB25)) | (~v191(constB25)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25))))))),
% 15.90/11.99 inference(transitivity,[status(thm)],[35755, 35753])).
% 15.90/11.99 tff(35757,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v206(constB25)) | (~v191(constB25)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35758,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25)))))),
% 15.90/11.99 inference(modus_ponens,[status(thm)],[35757, 35756])).
% 15.90/11.99 tff(35759,plain,
% 15.90/11.99 (v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35758, 47])).
% 15.90/11.99 tff(35760,plain,
% 15.90/11.99 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB25) <=> v196(constB25))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35761,plain,
% 15.90/11.99 (v191(constB25) <=> v196(constB25)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35760, 64])).
% 15.90/11.99 tff(35762,plain,
% 15.90/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB24, constB25)) | (v196(constB25) <=> v194(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB24, constB25)) | (v196(constB25) <=> v194(constB24)))),
% 15.90/11.99 inference(rewrite,[status(thm)],[])).
% 15.90/11.99 tff(35763,plain,
% 15.90/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB24, constB25)) | (v196(constB25) <=> v194(constB24)))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35764,plain,
% 15.90/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB24, constB25)) | (v196(constB25) <=> v194(constB24))),
% 15.90/11.99 inference(modus_ponens,[status(thm)],[35763, 35762])).
% 15.90/11.99 tff(35765,plain,
% 15.90/11.99 (v196(constB25) <=> v194(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35764, 7332, 76])).
% 15.90/11.99 tff(35766,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB24) <=> (v197(constB24) | v198(constB24)))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35767,plain,
% 15.90/11.99 (v194(constB24) <=> (v197(constB24) | v198(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35766, 90])).
% 15.90/11.99 tff(35768,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB24) <=> (~((~v158(constB24)) | (~v199(constB24)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35769,plain,
% 15.90/11.99 (v198(constB24) <=> (~((~v158(constB24)) | (~v199(constB24))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35768, 102])).
% 15.90/11.99 tff(35770,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB24) <=> (~((~v186(constB24)) | (~v200(constB24)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35771,plain,
% 15.90/11.99 (v199(constB24) <=> (~((~v186(constB24)) | (~v200(constB24))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35770, 114])).
% 15.90/11.99 tff(35772,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB24) <=> (~((~v184(constB24)) | (~v84(constB24)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35773,plain,
% 15.90/11.99 (v200(constB24) <=> (~((~v184(constB24)) | (~v84(constB24))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35772, 126])).
% 15.90/11.99 tff(35774,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35775,plain,
% 15.90/11.99 (v184(constB24) <=> (~((~v39(constB24)) | (~v9(constB24))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35774, 138])).
% 15.90/11.99 tff(35776,plain,
% 15.90/11.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB24)) <=> v1(constB24))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35777,plain,
% 15.90/11.99 ((~v39(constB24)) <=> v1(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35776, 147])).
% 15.90/11.99 tff(35778,plain,
% 15.90/11.99 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24)) | (~v1(constB24))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35779,plain,
% 15.90/11.99 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35778, 7394])).
% 15.90/11.99 tff(35780,plain,
% 15.90/11.99 (~v39(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35779, 35777])).
% 15.90/11.99 tff(35781,plain,
% 15.90/11.99 (((~v39(constB24)) | (~v9(constB24))) | v39(constB24)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35782,plain,
% 15.90/11.99 ((~v39(constB24)) | (~v9(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35781, 35780])).
% 15.90/11.99 tff(35783,plain,
% 15.90/11.99 ((~(v184(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v184(constB24)) | (~((~v39(constB24)) | (~v9(constB24))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35784,plain,
% 15.90/11.99 ((~(v184(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v184(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35783, 35782])).
% 15.90/11.99 tff(35785,plain,
% 15.90/11.99 (~v184(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35784, 35775])).
% 15.90/11.99 tff(35786,plain,
% 15.90/11.99 (((~v184(constB24)) | (~v84(constB24))) | v184(constB24)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35787,plain,
% 15.90/11.99 ((~v184(constB24)) | (~v84(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35786, 35785])).
% 15.90/11.99 tff(35788,plain,
% 15.90/11.99 ((~(v200(constB24) <=> (~((~v184(constB24)) | (~v84(constB24)))))) | (~v200(constB24)) | (~((~v184(constB24)) | (~v84(constB24))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35789,plain,
% 15.90/11.99 ((~(v200(constB24) <=> (~((~v184(constB24)) | (~v84(constB24)))))) | (~v200(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35788, 35787])).
% 15.90/11.99 tff(35790,plain,
% 15.90/11.99 (~v200(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35789, 35773])).
% 15.90/11.99 tff(35791,plain,
% 15.90/11.99 (((~v186(constB24)) | (~v200(constB24))) | v200(constB24)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35792,plain,
% 15.90/11.99 ((~v186(constB24)) | (~v200(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35791, 35790])).
% 15.90/11.99 tff(35793,plain,
% 15.90/11.99 ((~(v199(constB24) <=> (~((~v186(constB24)) | (~v200(constB24)))))) | (~v199(constB24)) | (~((~v186(constB24)) | (~v200(constB24))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35794,plain,
% 15.90/11.99 (~v199(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35793, 35792, 35771])).
% 15.90/11.99 tff(35795,plain,
% 15.90/11.99 (((~v158(constB24)) | (~v199(constB24))) | v199(constB24)),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35796,plain,
% 15.90/11.99 ((~v158(constB24)) | (~v199(constB24))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35795, 35794])).
% 15.90/11.99 tff(35797,plain,
% 15.90/11.99 ((~(v198(constB24) <=> (~((~v158(constB24)) | (~v199(constB24)))))) | (~v198(constB24)) | (~((~v158(constB24)) | (~v199(constB24))))),
% 15.90/11.99 inference(tautology,[status(thm)],[])).
% 15.90/11.99 tff(35798,plain,
% 15.90/11.99 (~v198(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35797, 35796, 35769])).
% 15.90/11.99 tff(35799,plain,
% 15.90/11.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB24) <=> (~((~v182(constB24)) | (~v191(constB24)))))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35800,plain,
% 15.90/11.99 (v197(constB24) <=> (~((~v182(constB24)) | (~v191(constB24))))),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35799, 183])).
% 15.90/11.99 tff(35801,plain,
% 15.90/11.99 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB24) <=> v196(constB24))),
% 15.90/11.99 inference(quant_inst,[status(thm)],[])).
% 15.90/11.99 tff(35802,plain,
% 15.90/11.99 (v191(constB24) <=> v196(constB24)),
% 15.90/11.99 inference(unit_resolution,[status(thm)],[35801, 64])).
% 15.90/11.99 tff(35803,plain,
% 15.90/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB23, constB24)) | (v196(constB24) <=> v194(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB23, constB24)) | (v196(constB24) <=> v194(constB23)))),
% 15.90/12.00 inference(rewrite,[status(thm)],[])).
% 15.90/12.00 tff(35804,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB23, constB24)) | (v196(constB24) <=> v194(constB23)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35805,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB23, constB24)) | (v196(constB24) <=> v194(constB23))),
% 15.90/12.00 inference(modus_ponens,[status(thm)],[35804, 35803])).
% 15.90/12.00 tff(35806,plain,
% 15.90/12.00 (v196(constB24) <=> v194(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35805, 7364, 76])).
% 15.90/12.00 tff(35807,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB23) <=> (v197(constB23) | v198(constB23)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35808,plain,
% 15.90/12.00 (v194(constB23) <=> (v197(constB23) | v198(constB23))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35807, 90])).
% 15.90/12.00 tff(35809,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB23) <=> (~((~v182(constB23)) | (~v191(constB23)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35810,plain,
% 15.90/12.00 (v197(constB23) <=> (~((~v182(constB23)) | (~v191(constB23))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35809, 183])).
% 15.90/12.00 tff(35811,plain,
% 15.90/12.00 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB23)) <=> v183(constB23))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35812,plain,
% 15.90/12.00 ((~v182(constB23)) <=> v183(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35811, 205])).
% 15.90/12.00 tff(35813,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB23) <=> (v184(constB23) | v26(constB23)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35814,plain,
% 15.90/12.00 (v183(constB23) <=> (v184(constB23) | v26(constB23))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35813, 214])).
% 15.90/12.00 tff(35815,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35816,plain,
% 15.90/12.00 (v184(constB23) <=> (~((~v39(constB23)) | (~v9(constB23))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35815, 138])).
% 15.90/12.00 tff(35817,plain,
% 15.90/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 15.90/12.00 inference(rewrite,[status(thm)],[])).
% 15.90/12.00 tff(35818,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35819,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23))),
% 15.90/12.00 inference(modus_ponens,[status(thm)],[35818, 35817])).
% 15.90/12.00 tff(35820,plain,
% 15.90/12.00 (v13(constB24) <=> v9(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35819, 7364, 228])).
% 15.90/12.00 tff(35821,plain,
% 15.90/12.00 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB24) <=> v13(constB24))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35822,plain,
% 15.90/12.00 (v6(constB24) <=> v13(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35821, 242])).
% 15.90/12.00 tff(35823,plain,
% 15.90/12.00 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB24)) <=> v6(constB24))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35824,plain,
% 15.90/12.00 ((~v21(constB24)) <=> v6(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35823, 251])).
% 15.90/12.00 tff(35825,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB24) <=> (v20(constB24) | v21(constB24)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35826,plain,
% 15.90/12.00 (v19(constB24) <=> (v20(constB24) | v21(constB24))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35825, 260])).
% 15.90/12.00 tff(35827,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35828,plain,
% 15.90/12.00 (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35827, 272])).
% 15.90/12.00 tff(35829,plain,
% 15.90/12.00 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB24)) <=> v18(constB24))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35830,plain,
% 15.90/12.00 ((~v4(constB24)) <=> v18(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35829, 281])).
% 15.90/12.00 tff(35831,plain,
% 15.90/12.00 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB24)),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35832,plain,
% 15.90/12.00 (v4(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35831, 290])).
% 15.90/12.00 tff(35833,plain,
% 15.90/12.00 ((~((~v4(constB24)) <=> v18(constB24))) | (~v4(constB24)) | (~v18(constB24))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35834,plain,
% 15.90/12.00 (~v18(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35833, 35832, 35830])).
% 15.90/12.00 tff(35835,plain,
% 15.90/12.00 ((~(v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))) | v18(constB24) | ((~v19(constB24)) | (~v22(constB24)))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35836,plain,
% 15.90/12.00 ((~v19(constB24)) | (~v22(constB24))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35835, 35834, 35828])).
% 15.90/12.00 tff(35837,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB24) <=> (v1(constB24) | v6(constB24)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35838,plain,
% 15.90/12.00 (v22(constB24) <=> (v1(constB24) | v6(constB24))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35837, 303])).
% 15.90/12.00 tff(35839,plain,
% 15.90/12.00 ((v1(constB24) | v6(constB24)) | (~v1(constB24))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35840,plain,
% 15.90/12.00 (v1(constB24) | v6(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35839, 7394])).
% 15.90/12.00 tff(35841,plain,
% 15.90/12.00 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24) | (~(v1(constB24) | v6(constB24)))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35842,plain,
% 15.90/12.00 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35841, 35840])).
% 15.90/12.00 tff(35843,plain,
% 15.90/12.00 (v22(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35842, 35838])).
% 15.90/12.00 tff(35844,plain,
% 15.90/12.00 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24)) | (~v22(constB24))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35845,plain,
% 15.90/12.00 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35844, 35843])).
% 15.90/12.00 tff(35846,plain,
% 15.90/12.00 (~v19(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35845, 35836])).
% 15.90/12.00 tff(35847,plain,
% 15.90/12.00 ((~(v19(constB24) <=> (v20(constB24) | v21(constB24)))) | v19(constB24) | (~(v20(constB24) | v21(constB24)))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35848,plain,
% 15.90/12.00 (~(v20(constB24) | v21(constB24))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35847, 35846, 35826])).
% 15.90/12.00 tff(35849,plain,
% 15.90/12.00 ((v20(constB24) | v21(constB24)) | (~v21(constB24))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35850,plain,
% 15.90/12.00 (~v21(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35849, 35848])).
% 15.90/12.00 tff(35851,plain,
% 15.90/12.00 ((~((~v21(constB24)) <=> v6(constB24))) | v21(constB24) | v6(constB24)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35852,plain,
% 15.90/12.00 (v6(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35851, 35850, 35824])).
% 15.90/12.00 tff(35853,plain,
% 15.90/12.00 ((~(v6(constB24) <=> v13(constB24))) | (~v6(constB24)) | v13(constB24)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35854,plain,
% 15.90/12.00 (v13(constB24)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35853, 35852, 35822])).
% 15.90/12.00 tff(35855,plain,
% 15.90/12.00 ((~(v13(constB24) <=> v9(constB23))) | (~v13(constB24)) | v9(constB23)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35856,plain,
% 15.90/12.00 (v9(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35855, 35854, 35820])).
% 15.90/12.00 tff(35857,plain,
% 15.90/12.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB23)) <=> v1(constB23))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35858,plain,
% 15.90/12.00 ((~v39(constB23)) <=> v1(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35857, 147])).
% 15.90/12.00 tff(35859,plain,
% 15.90/12.00 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23) | v1(constB23)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35860,plain,
% 15.90/12.00 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35859, 7386])).
% 15.90/12.00 tff(35861,plain,
% 15.90/12.00 (v39(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35860, 35858])).
% 15.90/12.00 tff(35862,plain,
% 15.90/12.00 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v39(constB23)) | (~v9(constB23))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35863,plain,
% 15.90/12.00 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v9(constB23))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35862, 35861])).
% 15.90/12.00 tff(35864,plain,
% 15.90/12.00 (~((~v39(constB23)) | (~v9(constB23)))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35863, 35856])).
% 15.90/12.00 tff(35865,plain,
% 15.90/12.00 ((~(v184(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))) | v184(constB23) | ((~v39(constB23)) | (~v9(constB23)))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35866,plain,
% 15.90/12.00 (v184(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35865, 35864, 35816])).
% 15.90/12.00 tff(35867,plain,
% 15.90/12.00 ((v184(constB23) | v26(constB23)) | (~v184(constB23))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35868,plain,
% 15.90/12.00 (v184(constB23) | v26(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35867, 35866])).
% 15.90/12.00 tff(35869,plain,
% 15.90/12.00 ((~(v183(constB23) <=> (v184(constB23) | v26(constB23)))) | v183(constB23) | (~(v184(constB23) | v26(constB23)))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35870,plain,
% 15.90/12.00 (v183(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35869, 35868, 35814])).
% 15.90/12.00 tff(35871,plain,
% 15.90/12.00 ((~((~v182(constB23)) <=> v183(constB23))) | (~v182(constB23)) | (~v183(constB23))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35872,plain,
% 15.90/12.00 (~v182(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35871, 35870, 35812])).
% 15.90/12.00 tff(35873,plain,
% 15.90/12.00 (((~v182(constB23)) | (~v191(constB23))) | v182(constB23)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35874,plain,
% 15.90/12.00 ((~v182(constB23)) | (~v191(constB23))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35873, 35872])).
% 15.90/12.00 tff(35875,plain,
% 15.90/12.00 ((~(v197(constB23) <=> (~((~v182(constB23)) | (~v191(constB23)))))) | (~v197(constB23)) | (~((~v182(constB23)) | (~v191(constB23))))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35876,plain,
% 15.90/12.00 (~v197(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35875, 35874, 35810])).
% 15.90/12.00 tff(35877,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB23) <=> (~((~v158(constB23)) | (~v199(constB23)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35878,plain,
% 15.90/12.00 (v198(constB23) <=> (~((~v158(constB23)) | (~v199(constB23))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35877, 102])).
% 15.90/12.00 tff(35879,plain,
% 15.90/12.00 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB23) <=> v180(constB23))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35880,plain,
% 15.90/12.00 (v158(constB23) <=> v180(constB23)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35879, 358])).
% 15.90/12.00 tff(35881,plain,
% 15.90/12.00 (((~![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)))),
% 15.90/12.00 inference(rewrite,[status(thm)],[])).
% 15.90/12.00 tff(35882,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35883,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22))),
% 15.90/12.00 inference(modus_ponens,[status(thm)],[35882, 35881])).
% 15.90/12.00 tff(35884,plain,
% 15.90/12.00 (v180(constB23) <=> v178(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35883, 7421, 370])).
% 15.90/12.00 tff(35885,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB22) <=> (v181(constB22) | v185(constB22)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35886,plain,
% 15.90/12.00 (v178(constB22) <=> (v181(constB22) | v185(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35885, 384])).
% 15.90/12.00 tff(35887,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35888,plain,
% 15.90/12.00 (v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35887, 396])).
% 15.90/12.00 tff(35889,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB22) <=> (~((~v184(constB22)) | (~v160(constB22)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35890,plain,
% 15.90/12.00 (v187(constB22) <=> (~((~v184(constB22)) | (~v160(constB22))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35889, 408])).
% 15.90/12.00 tff(35891,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35892,plain,
% 15.90/12.00 (v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35891, 138])).
% 15.90/12.00 tff(35893,plain,
% 15.90/12.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35894,plain,
% 15.90/12.00 ((~v39(constB22)) <=> v1(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35893, 147])).
% 15.90/12.00 tff(35895,plain,
% 15.90/12.00 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35896,plain,
% 15.90/12.00 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35895, 7483])).
% 15.90/12.00 tff(35897,plain,
% 15.90/12.00 (~v39(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35896, 35894])).
% 15.90/12.00 tff(35898,plain,
% 15.90/12.00 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35899,plain,
% 15.90/12.00 ((~v39(constB22)) | (~v9(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35898, 35897])).
% 15.90/12.00 tff(35900,plain,
% 15.90/12.00 ((~(v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v184(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35901,plain,
% 15.90/12.00 ((~(v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v184(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35900, 35899])).
% 15.90/12.00 tff(35902,plain,
% 15.90/12.00 (~v184(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35901, 35892])).
% 15.90/12.00 tff(35903,plain,
% 15.90/12.00 (((~v184(constB22)) | (~v160(constB22))) | v184(constB22)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35904,plain,
% 15.90/12.00 ((~v184(constB22)) | (~v160(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35903, 35902])).
% 15.90/12.00 tff(35905,plain,
% 15.90/12.00 ((~(v187(constB22) <=> (~((~v184(constB22)) | (~v160(constB22)))))) | (~v187(constB22)) | (~((~v184(constB22)) | (~v160(constB22))))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35906,plain,
% 15.90/12.00 ((~(v187(constB22) <=> (~((~v184(constB22)) | (~v160(constB22)))))) | (~v187(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35905, 35904])).
% 15.90/12.00 tff(35907,plain,
% 15.90/12.00 (~v187(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35906, 35890])).
% 15.90/12.00 tff(35908,plain,
% 15.90/12.00 (((~v186(constB22)) | (~v187(constB22))) | v187(constB22)),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35909,plain,
% 15.90/12.00 ((~v186(constB22)) | (~v187(constB22))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35908, 35907])).
% 15.90/12.00 tff(35910,plain,
% 15.90/12.00 ((~(v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22)))))) | (~v185(constB22)) | (~((~v186(constB22)) | (~v187(constB22))))),
% 15.90/12.00 inference(tautology,[status(thm)],[])).
% 15.90/12.00 tff(35911,plain,
% 15.90/12.00 (~v185(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35910, 35909, 35888])).
% 15.90/12.00 tff(35912,plain,
% 15.90/12.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22))))))),
% 15.90/12.00 inference(rewrite,[status(thm)],[])).
% 15.90/12.00 tff(35913,plain,
% 15.90/12.00 ((v181(constB22) <=> (~((~v182(constB22)) | (~v158(constB22))))) <=> (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22)))))),
% 15.90/12.00 inference(rewrite,[status(thm)],[])).
% 15.90/12.00 tff(35914,plain,
% 15.90/12.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v158(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22))))))),
% 15.90/12.00 inference(monotonicity,[status(thm)],[35913])).
% 15.90/12.00 tff(35915,plain,
% 15.90/12.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v158(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22))))))),
% 15.90/12.00 inference(transitivity,[status(thm)],[35914, 35912])).
% 15.90/12.00 tff(35916,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v158(constB22)))))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35917,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22)))))),
% 15.90/12.00 inference(modus_ponens,[status(thm)],[35916, 35915])).
% 15.90/12.00 tff(35918,plain,
% 15.90/12.00 (v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22))))),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35917, 444])).
% 15.90/12.00 tff(35919,plain,
% 15.90/12.00 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB22) <=> v180(constB22))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35920,plain,
% 15.90/12.00 (v158(constB22) <=> v180(constB22)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35919, 358])).
% 15.90/12.00 tff(35921,plain,
% 15.90/12.00 (((~![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)))),
% 15.90/12.00 inference(rewrite,[status(thm)],[])).
% 15.90/12.00 tff(35922,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35923,plain,
% 15.90/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21))),
% 15.90/12.00 inference(modus_ponens,[status(thm)],[35922, 35921])).
% 15.90/12.00 tff(35924,plain,
% 15.90/12.00 (v180(constB22) <=> v178(constB21)),
% 15.90/12.00 inference(unit_resolution,[status(thm)],[35923, 7453, 370])).
% 15.90/12.00 tff(35925,plain,
% 15.90/12.00 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB21) <=> (v181(constB21) | v185(constB21)))),
% 15.90/12.00 inference(quant_inst,[status(thm)],[])).
% 15.90/12.00 tff(35926,plain,
% 15.90/12.00 (v178(constB21) <=> (v181(constB21) | v185(constB21))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35925, 384])).
% 15.90/12.01 tff(35927,plain,
% 15.90/12.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21))))))),
% 15.90/12.01 inference(rewrite,[status(thm)],[])).
% 15.90/12.01 tff(35928,plain,
% 15.90/12.01 ((v181(constB21) <=> (~((~v182(constB21)) | (~v158(constB21))))) <=> (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21)))))),
% 15.90/12.01 inference(rewrite,[status(thm)],[])).
% 15.90/12.01 tff(35929,plain,
% 15.90/12.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v158(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21))))))),
% 15.90/12.01 inference(monotonicity,[status(thm)],[35928])).
% 15.90/12.01 tff(35930,plain,
% 15.90/12.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v158(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21))))))),
% 15.90/12.01 inference(transitivity,[status(thm)],[35929, 35927])).
% 15.90/12.01 tff(35931,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v158(constB21)))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35932,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21)))))),
% 15.90/12.01 inference(modus_ponens,[status(thm)],[35931, 35930])).
% 15.90/12.01 tff(35933,plain,
% 15.90/12.01 (v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21))))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35932, 444])).
% 15.90/12.01 tff(35934,plain,
% 15.90/12.01 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB21)) <=> v183(constB21))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35935,plain,
% 15.90/12.01 ((~v182(constB21)) <=> v183(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35934, 205])).
% 15.90/12.01 tff(35936,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB21) <=> (v184(constB21) | v26(constB21)))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35937,plain,
% 15.90/12.01 (v183(constB21) <=> (v184(constB21) | v26(constB21))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35936, 214])).
% 15.90/12.01 tff(35938,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35939,plain,
% 15.90/12.01 (v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35938, 138])).
% 15.90/12.01 tff(35940,plain,
% 15.90/12.01 (((~![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)))),
% 15.90/12.01 inference(rewrite,[status(thm)],[])).
% 15.90/12.01 tff(35941,plain,
% 15.90/12.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35942,plain,
% 15.90/12.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 15.90/12.01 inference(modus_ponens,[status(thm)],[35941, 35940])).
% 15.90/12.01 tff(35943,plain,
% 15.90/12.01 (v13(constB22) <=> v9(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35942, 7453, 228])).
% 15.90/12.01 tff(35944,plain,
% 15.90/12.01 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35945,plain,
% 15.90/12.01 (v6(constB22) <=> v13(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35944, 242])).
% 15.90/12.01 tff(35946,plain,
% 15.90/12.01 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35947,plain,
% 15.90/12.01 ((~v21(constB22)) <=> v6(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35946, 251])).
% 15.90/12.01 tff(35948,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35949,plain,
% 15.90/12.01 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35948, 260])).
% 15.90/12.01 tff(35950,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35951,plain,
% 15.90/12.01 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35950, 272])).
% 15.90/12.01 tff(35952,plain,
% 15.90/12.01 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35953,plain,
% 15.90/12.01 ((~v4(constB22)) <=> v18(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35952, 281])).
% 15.90/12.01 tff(35954,plain,
% 15.90/12.01 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB22)),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35955,plain,
% 15.90/12.01 (v4(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35954, 290])).
% 15.90/12.01 tff(35956,plain,
% 15.90/12.01 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35957,plain,
% 15.90/12.01 (~v18(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35956, 35955, 35953])).
% 15.90/12.01 tff(35958,plain,
% 15.90/12.01 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35959,plain,
% 15.90/12.01 ((~v19(constB22)) | (~v22(constB22))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35958, 35957, 35951])).
% 15.90/12.01 tff(35960,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35961,plain,
% 15.90/12.01 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35960, 303])).
% 15.90/12.01 tff(35962,plain,
% 15.90/12.01 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35963,plain,
% 15.90/12.01 (v1(constB22) | v6(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35962, 7483])).
% 15.90/12.01 tff(35964,plain,
% 15.90/12.01 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35965,plain,
% 15.90/12.01 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35964, 35963])).
% 15.90/12.01 tff(35966,plain,
% 15.90/12.01 (v22(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35965, 35961])).
% 15.90/12.01 tff(35967,plain,
% 15.90/12.01 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35968,plain,
% 15.90/12.01 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35967, 35966])).
% 15.90/12.01 tff(35969,plain,
% 15.90/12.01 (~v19(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35968, 35959])).
% 15.90/12.01 tff(35970,plain,
% 15.90/12.01 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35971,plain,
% 15.90/12.01 (~(v20(constB22) | v21(constB22))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35970, 35969, 35949])).
% 15.90/12.01 tff(35972,plain,
% 15.90/12.01 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35973,plain,
% 15.90/12.01 (~v21(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35972, 35971])).
% 15.90/12.01 tff(35974,plain,
% 15.90/12.01 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35975,plain,
% 15.90/12.01 (v6(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35974, 35973, 35947])).
% 15.90/12.01 tff(35976,plain,
% 15.90/12.01 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35977,plain,
% 15.90/12.01 (v13(constB22)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35976, 35975, 35945])).
% 15.90/12.01 tff(35978,plain,
% 15.90/12.01 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35979,plain,
% 15.90/12.01 (v9(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35978, 35977, 35943])).
% 15.90/12.01 tff(35980,plain,
% 15.90/12.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(35981,plain,
% 15.90/12.01 ((~v39(constB21)) <=> v1(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35980, 147])).
% 15.90/12.01 tff(35982,plain,
% 15.90/12.01 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35983,plain,
% 15.90/12.01 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35982, 7475])).
% 15.90/12.01 tff(35984,plain,
% 15.90/12.01 (v39(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35983, 35981])).
% 15.90/12.01 tff(35985,plain,
% 15.90/12.01 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35986,plain,
% 15.90/12.01 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35985, 35984])).
% 15.90/12.01 tff(35987,plain,
% 15.90/12.01 (~((~v39(constB21)) | (~v9(constB21)))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35986, 35979])).
% 15.90/12.01 tff(35988,plain,
% 15.90/12.01 ((~(v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v184(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35989,plain,
% 15.90/12.01 (v184(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35988, 35987, 35939])).
% 15.90/12.01 tff(35990,plain,
% 15.90/12.01 ((v184(constB21) | v26(constB21)) | (~v184(constB21))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35991,plain,
% 15.90/12.01 (v184(constB21) | v26(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35990, 35989])).
% 15.90/12.01 tff(35992,plain,
% 15.90/12.01 ((~(v183(constB21) <=> (v184(constB21) | v26(constB21)))) | v183(constB21) | (~(v184(constB21) | v26(constB21)))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35993,plain,
% 15.90/12.01 (v183(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35992, 35991, 35937])).
% 15.90/12.01 tff(35994,plain,
% 15.90/12.01 ((~((~v182(constB21)) <=> v183(constB21))) | (~v182(constB21)) | (~v183(constB21))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35995,plain,
% 15.90/12.01 (~v182(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35994, 35993, 35935])).
% 15.90/12.01 tff(35996,plain,
% 15.90/12.01 (((~v158(constB21)) | (~v182(constB21))) | v182(constB21)),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35997,plain,
% 15.90/12.01 ((~v158(constB21)) | (~v182(constB21))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35996, 35995])).
% 15.90/12.01 tff(35998,plain,
% 15.90/12.01 ((~(v181(constB21) <=> (~((~v158(constB21)) | (~v182(constB21)))))) | (~v181(constB21)) | (~((~v158(constB21)) | (~v182(constB21))))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(35999,plain,
% 15.90/12.01 (~v181(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[35998, 35997, 35933])).
% 15.90/12.01 tff(36000,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21)))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36001,plain,
% 15.90/12.01 (v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21))))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36000, 396])).
% 15.90/12.01 tff(36002,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB21) <=> (~((~v184(constB21)) | (~v160(constB21)))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36003,plain,
% 15.90/12.01 (v187(constB21) <=> (~((~v184(constB21)) | (~v160(constB21))))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36002, 408])).
% 15.90/12.01 tff(36004,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB21) <=> v162(constB21))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36005,plain,
% 15.90/12.01 (v160(constB21) <=> v162(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36004, 549])).
% 15.90/12.01 tff(36006,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36007,plain,
% 15.90/12.01 (v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0))))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36006, 564])).
% 15.90/12.01 tff(36008,plain,
% 15.90/12.01 (((~![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)))),
% 15.90/12.01 inference(rewrite,[status(thm)],[])).
% 15.90/12.01 tff(36009,plain,
% 15.90/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2)))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36010,plain,
% 15.90/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2))),
% 15.90/12.01 inference(modus_ponens,[status(thm)],[36009, 36008])).
% 15.90/12.01 tff(36011,plain,
% 15.90/12.01 (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36010, 579, 576])).
% 15.90/12.01 tff(36012,plain,
% 15.90/12.01 ((~(v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2))) | v88(constB21, bitIndex2) | (~v90(constB21, bitIndex2))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(36013,plain,
% 15.90/12.01 (v88(constB21, bitIndex2)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36012, 8503, 36011])).
% 15.90/12.01 tff(36014,plain,
% 15.90/12.01 ((v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0))) | (~v88(constB21, bitIndex2))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(36015,plain,
% 15.90/12.01 (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36014, 36013])).
% 15.90/12.01 tff(36016,plain,
% 15.90/12.01 ((~(v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)))))) | (~v141(constB21)) | (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0))))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(36017,plain,
% 15.90/12.01 (~v141(constB21)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36016, 36015, 36007])).
% 15.90/12.01 tff(36018,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB21) <=> (v139(constB21) | v140(constB21)))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36019,plain,
% 15.90/12.01 (v170(constB21) <=> (v139(constB21) | v140(constB21))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36018, 2216])).
% 15.90/12.01 tff(36020,plain,
% 15.90/12.01 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2))))),
% 15.90/12.01 inference(quant_inst,[status(thm)],[])).
% 15.90/12.01 tff(36021,plain,
% 15.90/12.01 (v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)))),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36020, 2231])).
% 15.90/12.01 tff(36022,plain,
% 15.90/12.01 ((v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)) | (~v88(constB21, bitIndex2))),
% 15.90/12.01 inference(tautology,[status(thm)],[])).
% 15.90/12.01 tff(36023,plain,
% 15.90/12.01 (v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)),
% 15.90/12.01 inference(unit_resolution,[status(thm)],[36022, 36013])).
% 15.96/12.02 tff(36024,plain,
% 15.96/12.02 ((~(v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2))))) | (~v139(constB21)) | (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36025,plain,
% 15.96/12.02 (~v139(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36024, 36023, 36021])).
% 15.96/12.02 tff(36026,plain,
% 15.96/12.02 (((~![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))))))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36027,plain,
% 15.96/12.02 ((v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))) <=> (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36028,plain,
% 15.96/12.02 (((~![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))))))),
% 15.96/12.02 inference(monotonicity,[status(thm)],[36027])).
% 15.96/12.02 tff(36029,plain,
% 15.96/12.02 (((~![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))))))),
% 15.96/12.02 inference(transitivity,[status(thm)],[36028, 36026])).
% 15.96/12.02 tff(36030,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36031,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))),
% 15.96/12.02 inference(modus_ponens,[status(thm)],[36030, 36029])).
% 15.96/12.02 tff(36032,plain,
% 15.96/12.02 (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36031, 2250])).
% 15.96/12.02 tff(36033,plain,
% 15.96/12.02 ((v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))) | (~v88(constB21, bitIndex2))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36034,plain,
% 15.96/12.02 (v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36033, 36013])).
% 15.96/12.02 tff(36035,plain,
% 15.96/12.02 ((~(v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))) | (~v140(constB21)) | (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36036,plain,
% 15.96/12.02 (~v140(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36035, 36034, 36032])).
% 15.96/12.02 tff(36037,plain,
% 15.96/12.02 ((~(v139(constB21) | v140(constB21))) | v139(constB21) | v140(constB21)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36038,plain,
% 15.96/12.02 (~(v139(constB21) | v140(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36037, 36036, 36025])).
% 15.96/12.02 tff(36039,plain,
% 15.96/12.02 ((~(v170(constB21) <=> (v139(constB21) | v140(constB21)))) | (~v170(constB21)) | (v139(constB21) | v140(constB21))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36040,plain,
% 15.96/12.02 (~v170(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36039, 36038, 36019])).
% 15.96/12.02 tff(36041,plain,
% 15.96/12.02 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB21) | v170(constB21) | (~v169(constB21)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB21) | v170(constB21) | (~v169(constB21)))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36042,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB21) | v170(constB21) | (~v169(constB21)))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36043,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB21) | v170(constB21) | (~v169(constB21))),
% 15.96/12.02 inference(modus_ponens,[status(thm)],[36042, 36041])).
% 15.96/12.02 tff(36044,plain,
% 15.96/12.02 (v141(constB21) | v170(constB21) | (~v169(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36043, 2278])).
% 15.96/12.02 tff(36045,plain,
% 15.96/12.02 (~v169(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36044, 36040, 36017])).
% 15.96/12.02 tff(36046,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB21) <=> (v145(constB21) | v166(constB21)))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36047,plain,
% 15.96/12.02 (v165(constB21) <=> (v145(constB21) | v166(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36046, 2293])).
% 15.96/12.02 tff(36048,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB21) <=> (v146(constB21) | v147(constB21)))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36049,plain,
% 15.96/12.02 (v145(constB21) <=> (v146(constB21) | v147(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36048, 2302])).
% 15.96/12.02 tff(36050,plain,
% 15.96/12.02 (((~![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)))))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36051,plain,
% 15.96/12.02 ((v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2))))) <=> (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36052,plain,
% 15.96/12.02 (((~![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)))))),
% 15.96/12.02 inference(monotonicity,[status(thm)],[36051])).
% 15.96/12.02 tff(36053,plain,
% 15.96/12.02 (((~![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)))))),
% 15.96/12.02 inference(transitivity,[status(thm)],[36052, 36050])).
% 15.96/12.02 tff(36054,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36055,plain,
% 15.96/12.02 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))),
% 15.96/12.02 inference(modus_ponens,[status(thm)],[36054, 36053])).
% 15.96/12.02 tff(36056,plain,
% 15.96/12.02 (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36055, 16288])).
% 15.96/12.02 tff(36057,plain,
% 15.96/12.02 (((~![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)))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36058,plain,
% 15.96/12.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0)))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36059,plain,
% 15.96/12.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0))),
% 15.96/12.02 inference(modus_ponens,[status(thm)],[36058, 36057])).
% 15.96/12.02 tff(36060,plain,
% 15.96/12.02 (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36059, 1275, 576])).
% 15.96/12.02 tff(36061,plain,
% 15.96/12.02 ((~(v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0))) | (~v88(constB21, bitIndex0)) | v90(constB21, bitIndex0)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36062,plain,
% 15.96/12.02 (~v88(constB21, bitIndex0)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36061, 8534, 36060])).
% 15.96/12.02 tff(36063,plain,
% 15.96/12.02 (((~![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)))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36064,plain,
% 15.96/12.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1)))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36065,plain,
% 15.96/12.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1))),
% 15.96/12.02 inference(modus_ponens,[status(thm)],[36064, 36063])).
% 15.96/12.02 tff(36066,plain,
% 15.96/12.02 (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36065, 1288, 576])).
% 15.96/12.02 tff(36067,plain,
% 15.96/12.02 ((~(v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1))) | (~v88(constB21, bitIndex1)) | v90(constB21, bitIndex1)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36068,plain,
% 15.96/12.02 (~v88(constB21, bitIndex1)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36067, 8565, 36066])).
% 15.96/12.02 tff(36069,plain,
% 15.96/12.02 ((~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36070,plain,
% 15.96/12.02 (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36069, 36068, 36062, 36013])).
% 15.96/12.02 tff(36071,plain,
% 15.96/12.02 ((~(v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))) | v146(constB21) | ((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36072,plain,
% 15.96/12.02 (v146(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36071, 36070, 36056])).
% 15.96/12.02 tff(36073,plain,
% 15.96/12.02 ((v146(constB21) | v147(constB21)) | (~v146(constB21))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36074,plain,
% 15.96/12.02 (v146(constB21) | v147(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36073, 36072])).
% 15.96/12.02 tff(36075,plain,
% 15.96/12.02 ((~(v145(constB21) <=> (v146(constB21) | v147(constB21)))) | v145(constB21) | (~(v146(constB21) | v147(constB21)))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36076,plain,
% 15.96/12.02 (v145(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36075, 36074, 36049])).
% 15.96/12.02 tff(36077,plain,
% 15.96/12.02 ((v145(constB21) | v166(constB21)) | (~v145(constB21))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36078,plain,
% 15.96/12.02 (v145(constB21) | v166(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36077, 36076])).
% 15.96/12.02 tff(36079,plain,
% 15.96/12.02 ((~(v165(constB21) <=> (v145(constB21) | v166(constB21)))) | v165(constB21) | (~(v145(constB21) | v166(constB21)))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36080,plain,
% 15.96/12.02 (v165(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36079, 36078, 36047])).
% 15.96/12.02 tff(36081,plain,
% 15.96/12.02 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB21)) | (v162(constB21) <=> v169(constB21)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB21)) | (v162(constB21) <=> v169(constB21)))),
% 15.96/12.02 inference(rewrite,[status(thm)],[])).
% 15.96/12.02 tff(36082,plain,
% 15.96/12.02 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB21)) | (v162(constB21) <=> v169(constB21)))),
% 15.96/12.02 inference(quant_inst,[status(thm)],[])).
% 15.96/12.02 tff(36083,plain,
% 15.96/12.02 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB21)) | (v162(constB21) <=> v169(constB21))),
% 15.96/12.02 inference(modus_ponens,[status(thm)],[36082, 36081])).
% 15.96/12.02 tff(36084,plain,
% 15.96/12.02 ((~v165(constB21)) | (v162(constB21) <=> v169(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36083, 2426])).
% 15.96/12.02 tff(36085,plain,
% 15.96/12.02 (v162(constB21) <=> v169(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36084, 36080])).
% 15.96/12.02 tff(36086,plain,
% 15.96/12.02 ((~(v162(constB21) <=> v169(constB21))) | (~v162(constB21)) | v169(constB21)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36087,plain,
% 15.96/12.02 (~v162(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36086, 36085, 36045])).
% 15.96/12.02 tff(36088,plain,
% 15.96/12.02 ((~(v160(constB21) <=> v162(constB21))) | (~v160(constB21)) | v162(constB21)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36089,plain,
% 15.96/12.02 ((~(v160(constB21) <=> v162(constB21))) | (~v160(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36088, 36087])).
% 15.96/12.02 tff(36090,plain,
% 15.96/12.02 (~v160(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36089, 36005])).
% 15.96/12.02 tff(36091,plain,
% 15.96/12.02 (((~v184(constB21)) | (~v160(constB21))) | v160(constB21)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36092,plain,
% 15.96/12.02 ((~v184(constB21)) | (~v160(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36091, 36090])).
% 15.96/12.02 tff(36093,plain,
% 15.96/12.02 ((~(v187(constB21) <=> (~((~v184(constB21)) | (~v160(constB21)))))) | (~v187(constB21)) | (~((~v184(constB21)) | (~v160(constB21))))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36094,plain,
% 15.96/12.02 (~v187(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36093, 36092, 36003])).
% 15.96/12.02 tff(36095,plain,
% 15.96/12.02 (((~v186(constB21)) | (~v187(constB21))) | v187(constB21)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36096,plain,
% 15.96/12.02 ((~v186(constB21)) | (~v187(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36095, 36094])).
% 15.96/12.02 tff(36097,plain,
% 15.96/12.02 ((~(v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21)))))) | (~v185(constB21)) | (~((~v186(constB21)) | (~v187(constB21))))),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36098,plain,
% 15.96/12.02 (~v185(constB21)),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36097, 36096, 36001])).
% 15.96/12.02 tff(36099,plain,
% 15.96/12.02 ((~(v181(constB21) | v185(constB21))) | v181(constB21) | v185(constB21)),
% 15.96/12.02 inference(tautology,[status(thm)],[])).
% 15.96/12.02 tff(36100,plain,
% 15.96/12.02 (~(v181(constB21) | v185(constB21))),
% 15.96/12.02 inference(unit_resolution,[status(thm)],[36099, 36098, 35999])).
% 15.96/12.03 tff(36101,plain,
% 15.96/12.03 ((~(v178(constB21) <=> (v181(constB21) | v185(constB21)))) | (~v178(constB21)) | (v181(constB21) | v185(constB21))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36102,plain,
% 15.96/12.03 (~v178(constB21)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36101, 36100, 35926])).
% 15.96/12.03 tff(36103,plain,
% 15.96/12.03 ((~(v180(constB22) <=> v178(constB21))) | (~v180(constB22)) | v178(constB21)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36104,plain,
% 15.96/12.03 (~v180(constB22)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36103, 36102, 35924])).
% 15.96/12.03 tff(36105,plain,
% 15.96/12.03 ((~(v158(constB22) <=> v180(constB22))) | (~v158(constB22)) | v180(constB22)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36106,plain,
% 15.96/12.03 (~v158(constB22)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36105, 36104, 35920])).
% 15.96/12.03 tff(36107,plain,
% 15.96/12.03 (((~v158(constB22)) | (~v182(constB22))) | v158(constB22)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36108,plain,
% 15.96/12.03 ((~v158(constB22)) | (~v182(constB22))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36107, 36106])).
% 15.96/12.03 tff(36109,plain,
% 15.96/12.03 ((~(v181(constB22) <=> (~((~v158(constB22)) | (~v182(constB22)))))) | (~v181(constB22)) | (~((~v158(constB22)) | (~v182(constB22))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36110,plain,
% 15.96/12.03 (~v181(constB22)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36109, 36108, 35918])).
% 15.96/12.03 tff(36111,plain,
% 15.96/12.03 ((~(v181(constB22) | v185(constB22))) | v181(constB22) | v185(constB22)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36112,plain,
% 15.96/12.03 (~(v181(constB22) | v185(constB22))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36111, 36110, 35911])).
% 15.96/12.03 tff(36113,plain,
% 15.96/12.03 ((~(v178(constB22) <=> (v181(constB22) | v185(constB22)))) | (~v178(constB22)) | (v181(constB22) | v185(constB22))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36114,plain,
% 15.96/12.03 (~v178(constB22)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36113, 36112, 35886])).
% 15.96/12.03 tff(36115,plain,
% 15.96/12.03 ((~(v180(constB23) <=> v178(constB22))) | (~v180(constB23)) | v178(constB22)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36116,plain,
% 15.96/12.03 (~v180(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36115, 36114, 35884])).
% 15.96/12.03 tff(36117,plain,
% 15.96/12.03 ((~(v158(constB23) <=> v180(constB23))) | (~v158(constB23)) | v180(constB23)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36118,plain,
% 15.96/12.03 (~v158(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36117, 36116, 35880])).
% 15.96/12.03 tff(36119,plain,
% 15.96/12.03 (((~v158(constB23)) | (~v199(constB23))) | v158(constB23)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36120,plain,
% 15.96/12.03 ((~v158(constB23)) | (~v199(constB23))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36119, 36118])).
% 15.96/12.03 tff(36121,plain,
% 15.96/12.03 ((~(v198(constB23) <=> (~((~v158(constB23)) | (~v199(constB23)))))) | (~v198(constB23)) | (~((~v158(constB23)) | (~v199(constB23))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36122,plain,
% 15.96/12.03 (~v198(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36121, 36120, 35878])).
% 15.96/12.03 tff(36123,plain,
% 15.96/12.03 ((~(v197(constB23) | v198(constB23))) | v197(constB23) | v198(constB23)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36124,plain,
% 15.96/12.03 (~(v197(constB23) | v198(constB23))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36123, 36122, 35876])).
% 15.96/12.03 tff(36125,plain,
% 15.96/12.03 ((~(v194(constB23) <=> (v197(constB23) | v198(constB23)))) | (~v194(constB23)) | (v197(constB23) | v198(constB23))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36126,plain,
% 15.96/12.03 (~v194(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36125, 36124, 35808])).
% 15.96/12.03 tff(36127,plain,
% 15.96/12.03 ((~(v196(constB24) <=> v194(constB23))) | (~v196(constB24)) | v194(constB23)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36128,plain,
% 15.96/12.03 (~v196(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36127, 36126, 35806])).
% 15.96/12.03 tff(36129,plain,
% 15.96/12.03 ((~(v191(constB24) <=> v196(constB24))) | (~v191(constB24)) | v196(constB24)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36130,plain,
% 15.96/12.03 (~v191(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36129, 36128, 35802])).
% 15.96/12.03 tff(36131,plain,
% 15.96/12.03 (((~v182(constB24)) | (~v191(constB24))) | v191(constB24)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36132,plain,
% 15.96/12.03 ((~v182(constB24)) | (~v191(constB24))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36131, 36130])).
% 15.96/12.03 tff(36133,plain,
% 15.96/12.03 ((~(v197(constB24) <=> (~((~v182(constB24)) | (~v191(constB24)))))) | (~v197(constB24)) | (~((~v182(constB24)) | (~v191(constB24))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36134,plain,
% 15.96/12.03 (~v197(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36133, 36132, 35800])).
% 15.96/12.03 tff(36135,plain,
% 15.96/12.03 ((~(v197(constB24) | v198(constB24))) | v197(constB24) | v198(constB24)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36136,plain,
% 15.96/12.03 (~(v197(constB24) | v198(constB24))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36135, 36134, 35798])).
% 15.96/12.03 tff(36137,plain,
% 15.96/12.03 ((~(v194(constB24) <=> (v197(constB24) | v198(constB24)))) | (~v194(constB24)) | (v197(constB24) | v198(constB24))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36138,plain,
% 15.96/12.03 (~v194(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36137, 36136, 35767])).
% 15.96/12.03 tff(36139,plain,
% 15.96/12.03 ((~(v196(constB25) <=> v194(constB24))) | (~v196(constB25)) | v194(constB24)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36140,plain,
% 15.96/12.03 (~v196(constB25)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36139, 36138, 35765])).
% 15.96/12.03 tff(36141,plain,
% 15.96/12.03 ((~(v191(constB25) <=> v196(constB25))) | (~v191(constB25)) | v196(constB25)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36142,plain,
% 15.96/12.03 (~v191(constB25)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36141, 36140, 35761])).
% 15.96/12.03 tff(36143,plain,
% 15.96/12.03 (((~v191(constB25)) | (~v206(constB25))) | v191(constB25)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36144,plain,
% 15.96/12.03 ((~v191(constB25)) | (~v206(constB25))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36143, 36142])).
% 15.96/12.03 tff(36145,plain,
% 15.96/12.03 ((~(v209(constB25) <=> (~((~v191(constB25)) | (~v206(constB25)))))) | (~v209(constB25)) | (~((~v191(constB25)) | (~v206(constB25))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36146,plain,
% 15.96/12.03 (~v209(constB25)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36145, 36144, 35759])).
% 15.96/12.03 tff(36147,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25))))))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36148,plain,
% 15.96/12.03 ((v205(constB25) <=> (~((~v206(constB25)) | (~v158(constB25))))) <=> (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25)))))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36149,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v206(constB25)) | (~v158(constB25)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25))))))),
% 15.96/12.03 inference(monotonicity,[status(thm)],[36148])).
% 15.96/12.03 tff(36150,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v206(constB25)) | (~v158(constB25)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25))))))),
% 15.96/12.03 inference(transitivity,[status(thm)],[36149, 36147])).
% 15.96/12.03 tff(36151,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v206(constB25)) | (~v158(constB25)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36152,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25)))))),
% 15.96/12.03 inference(modus_ponens,[status(thm)],[36151, 36150])).
% 15.96/12.03 tff(36153,plain,
% 15.96/12.03 (v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36152, 2502])).
% 15.96/12.03 tff(36154,plain,
% 15.96/12.03 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB25) <=> v180(constB25))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36155,plain,
% 15.96/12.03 (v158(constB25) <=> v180(constB25)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36154, 358])).
% 15.96/12.03 tff(36156,plain,
% 15.96/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB24, constB25)) | (v180(constB25) <=> v178(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB24, constB25)) | (v180(constB25) <=> v178(constB24)))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36157,plain,
% 15.96/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB24, constB25)) | (v180(constB25) <=> v178(constB24)))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36158,plain,
% 15.96/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB24, constB25)) | (v180(constB25) <=> v178(constB24))),
% 15.96/12.03 inference(modus_ponens,[status(thm)],[36157, 36156])).
% 15.96/12.03 tff(36159,plain,
% 15.96/12.03 (v180(constB25) <=> v178(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36158, 7332, 370])).
% 15.96/12.03 tff(36160,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB24) <=> (v181(constB24) | v185(constB24)))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36161,plain,
% 15.96/12.03 (v178(constB24) <=> (v181(constB24) | v185(constB24))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36160, 384])).
% 15.96/12.03 tff(36162,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB24) <=> (~((~v186(constB24)) | (~v187(constB24)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36163,plain,
% 15.96/12.03 (v185(constB24) <=> (~((~v186(constB24)) | (~v187(constB24))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36162, 396])).
% 15.96/12.03 tff(36164,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB24) <=> (~((~v184(constB24)) | (~v160(constB24)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36165,plain,
% 15.96/12.03 (v187(constB24) <=> (~((~v184(constB24)) | (~v160(constB24))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36164, 408])).
% 15.96/12.03 tff(36166,plain,
% 15.96/12.03 (((~v184(constB24)) | (~v160(constB24))) | v184(constB24)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36167,plain,
% 15.96/12.03 ((~v184(constB24)) | (~v160(constB24))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36166, 35785])).
% 15.96/12.03 tff(36168,plain,
% 15.96/12.03 ((~(v187(constB24) <=> (~((~v184(constB24)) | (~v160(constB24)))))) | (~v187(constB24)) | (~((~v184(constB24)) | (~v160(constB24))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36169,plain,
% 15.96/12.03 ((~(v187(constB24) <=> (~((~v184(constB24)) | (~v160(constB24)))))) | (~v187(constB24))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36168, 36167])).
% 15.96/12.03 tff(36170,plain,
% 15.96/12.03 (~v187(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36169, 36165])).
% 15.96/12.03 tff(36171,plain,
% 15.96/12.03 (((~v186(constB24)) | (~v187(constB24))) | v187(constB24)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36172,plain,
% 15.96/12.03 ((~v186(constB24)) | (~v187(constB24))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36171, 36170])).
% 15.96/12.03 tff(36173,plain,
% 15.96/12.03 ((~(v185(constB24) <=> (~((~v186(constB24)) | (~v187(constB24)))))) | (~v185(constB24)) | (~((~v186(constB24)) | (~v187(constB24))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36174,plain,
% 15.96/12.03 (~v185(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36173, 36172, 36163])).
% 15.96/12.03 tff(36175,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24))))))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36176,plain,
% 15.96/12.03 ((v181(constB24) <=> (~((~v182(constB24)) | (~v158(constB24))))) <=> (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24)))))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36177,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v182(constB24)) | (~v158(constB24)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24))))))),
% 15.96/12.03 inference(monotonicity,[status(thm)],[36176])).
% 15.96/12.03 tff(36178,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v182(constB24)) | (~v158(constB24)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24))))))),
% 15.96/12.03 inference(transitivity,[status(thm)],[36177, 36175])).
% 15.96/12.03 tff(36179,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v182(constB24)) | (~v158(constB24)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36180,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24)))))),
% 15.96/12.03 inference(modus_ponens,[status(thm)],[36179, 36178])).
% 15.96/12.03 tff(36181,plain,
% 15.96/12.03 (v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36180, 444])).
% 15.96/12.03 tff(36182,plain,
% 15.96/12.03 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB24) <=> v180(constB24))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36183,plain,
% 15.96/12.03 (v158(constB24) <=> v180(constB24)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36182, 358])).
% 15.96/12.03 tff(36184,plain,
% 15.96/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB23, constB24)) | (v180(constB24) <=> v178(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB23, constB24)) | (v180(constB24) <=> v178(constB23)))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36185,plain,
% 15.96/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB23, constB24)) | (v180(constB24) <=> v178(constB23)))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36186,plain,
% 15.96/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB23, constB24)) | (v180(constB24) <=> v178(constB23))),
% 15.96/12.03 inference(modus_ponens,[status(thm)],[36185, 36184])).
% 15.96/12.03 tff(36187,plain,
% 15.96/12.03 (v180(constB24) <=> v178(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36186, 7364, 370])).
% 15.96/12.03 tff(36188,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB23) <=> (v181(constB23) | v185(constB23)))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36189,plain,
% 15.96/12.03 (v178(constB23) <=> (v181(constB23) | v185(constB23))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36188, 384])).
% 15.96/12.03 tff(36190,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23))))))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36191,plain,
% 15.96/12.03 ((v181(constB23) <=> (~((~v182(constB23)) | (~v158(constB23))))) <=> (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23)))))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36192,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v182(constB23)) | (~v158(constB23)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23))))))),
% 15.96/12.03 inference(monotonicity,[status(thm)],[36191])).
% 15.96/12.03 tff(36193,plain,
% 15.96/12.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v182(constB23)) | (~v158(constB23)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23))))))),
% 15.96/12.03 inference(transitivity,[status(thm)],[36192, 36190])).
% 15.96/12.03 tff(36194,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v182(constB23)) | (~v158(constB23)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36195,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23)))))),
% 15.96/12.03 inference(modus_ponens,[status(thm)],[36194, 36193])).
% 15.96/12.03 tff(36196,plain,
% 15.96/12.03 (v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36195, 444])).
% 15.96/12.03 tff(36197,plain,
% 15.96/12.03 (((~v158(constB23)) | (~v182(constB23))) | v182(constB23)),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36198,plain,
% 15.96/12.03 ((~v158(constB23)) | (~v182(constB23))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36197, 35872])).
% 15.96/12.03 tff(36199,plain,
% 15.96/12.03 ((~(v181(constB23) <=> (~((~v158(constB23)) | (~v182(constB23)))))) | (~v181(constB23)) | (~((~v158(constB23)) | (~v182(constB23))))),
% 15.96/12.03 inference(tautology,[status(thm)],[])).
% 15.96/12.03 tff(36200,plain,
% 15.96/12.03 (~v181(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36199, 36198, 36196])).
% 15.96/12.03 tff(36201,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB23) <=> (~((~v186(constB23)) | (~v187(constB23)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36202,plain,
% 15.96/12.03 (v185(constB23) <=> (~((~v186(constB23)) | (~v187(constB23))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36201, 396])).
% 15.96/12.03 tff(36203,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB23) <=> (~((~v184(constB23)) | (~v160(constB23)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36204,plain,
% 15.96/12.03 (v187(constB23) <=> (~((~v184(constB23)) | (~v160(constB23))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36203, 408])).
% 15.96/12.03 tff(36205,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB23) <=> v162(constB23))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36206,plain,
% 15.96/12.03 (v160(constB23) <=> v162(constB23)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36205, 549])).
% 15.96/12.03 tff(36207,plain,
% 15.96/12.03 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB23) <=> (~(v88(constB23, bitIndex2) | (~v88(constB23, bitIndex1)) | (~v88(constB23, bitIndex0)))))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36208,plain,
% 15.96/12.03 (v141(constB23) <=> (~(v88(constB23, bitIndex2) | (~v88(constB23, bitIndex1)) | (~v88(constB23, bitIndex0))))),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36207, 564])).
% 15.96/12.03 tff(36209,plain,
% 15.96/12.03 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB23, bitIndex2) <=> v90(constB23, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB23, bitIndex2) <=> v90(constB23, bitIndex2)))),
% 15.96/12.03 inference(rewrite,[status(thm)],[])).
% 15.96/12.03 tff(36210,plain,
% 15.96/12.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB23, bitIndex2) <=> v90(constB23, bitIndex2)))),
% 15.96/12.03 inference(quant_inst,[status(thm)],[])).
% 15.96/12.03 tff(36211,plain,
% 15.96/12.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB23, bitIndex2) <=> v90(constB23, bitIndex2))),
% 15.96/12.03 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 15.96/12.03 tff(36212,plain,
% 15.96/12.03 (v88(constB23, bitIndex2) <=> v90(constB23, bitIndex2)),
% 15.96/12.03 inference(unit_resolution,[status(thm)],[36211, 579, 576])).
% 15.96/12.03 tff(36213,plain,
% 15.96/12.03 ((~(v88(constB23, bitIndex2) <=> v90(constB23, bitIndex2))) | v88(constB23, bitIndex2) | (~v90(constB23, bitIndex2))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36214,plain,
% 15.96/12.04 (v88(constB23, bitIndex2)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36213, 8653, 36212])).
% 15.96/12.04 tff(36215,plain,
% 15.96/12.04 ((v88(constB23, bitIndex2) | (~v88(constB23, bitIndex1)) | (~v88(constB23, bitIndex0))) | (~v88(constB23, bitIndex2))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36216,plain,
% 15.96/12.04 (v88(constB23, bitIndex2) | (~v88(constB23, bitIndex1)) | (~v88(constB23, bitIndex0))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36215, 36214])).
% 15.96/12.04 tff(36217,plain,
% 15.96/12.04 ((~(v141(constB23) <=> (~(v88(constB23, bitIndex2) | (~v88(constB23, bitIndex1)) | (~v88(constB23, bitIndex0)))))) | (~v141(constB23)) | (~(v88(constB23, bitIndex2) | (~v88(constB23, bitIndex1)) | (~v88(constB23, bitIndex0))))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36218,plain,
% 15.96/12.04 (~v141(constB23)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36217, 36216, 36208])).
% 15.96/12.04 tff(36219,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB23) <=> (v139(constB23) | v140(constB23)))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36220,plain,
% 15.96/12.04 (v170(constB23) <=> (v139(constB23) | v140(constB23))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36219, 2216])).
% 15.96/12.04 tff(36221,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB23) <=> (~(v88(constB23, bitIndex0) | v88(constB23, bitIndex1) | v88(constB23, bitIndex2))))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36222,plain,
% 15.96/12.04 (v139(constB23) <=> (~(v88(constB23, bitIndex0) | v88(constB23, bitIndex1) | v88(constB23, bitIndex2)))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36221, 2231])).
% 15.96/12.04 tff(36223,plain,
% 15.96/12.04 ((v88(constB23, bitIndex0) | v88(constB23, bitIndex1) | v88(constB23, bitIndex2)) | (~v88(constB23, bitIndex2))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36224,plain,
% 15.96/12.04 (v88(constB23, bitIndex0) | v88(constB23, bitIndex1) | v88(constB23, bitIndex2)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36223, 36214])).
% 15.96/12.04 tff(36225,plain,
% 15.96/12.04 ((~(v139(constB23) <=> (~(v88(constB23, bitIndex0) | v88(constB23, bitIndex1) | v88(constB23, bitIndex2))))) | (~v139(constB23)) | (~(v88(constB23, bitIndex0) | v88(constB23, bitIndex1) | v88(constB23, bitIndex2)))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36226,plain,
% 15.96/12.04 (~v139(constB23)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36225, 36224, 36222])).
% 15.96/12.04 tff(36227,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))))),
% 15.96/12.04 inference(rewrite,[status(thm)],[])).
% 15.96/12.04 tff(36228,plain,
% 15.96/12.04 ((v140(constB23) <=> (~(v88(constB23, bitIndex1) | v88(constB23, bitIndex2) | (~v88(constB23, bitIndex0))))) <=> (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))),
% 15.96/12.04 inference(rewrite,[status(thm)],[])).
% 15.96/12.04 tff(36229,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex1) | v88(constB23, bitIndex2) | (~v88(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))))),
% 15.96/12.04 inference(monotonicity,[status(thm)],[36228])).
% 15.96/12.04 tff(36230,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex1) | v88(constB23, bitIndex2) | (~v88(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))))),
% 15.96/12.04 inference(transitivity,[status(thm)],[36229, 36227])).
% 15.96/12.04 tff(36231,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex1) | v88(constB23, bitIndex2) | (~v88(constB23, bitIndex0)))))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36232,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))),
% 15.96/12.04 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 15.96/12.04 tff(36233,plain,
% 15.96/12.04 (v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36232, 2250])).
% 15.96/12.04 tff(36234,plain,
% 15.96/12.04 ((v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))) | (~v88(constB23, bitIndex2))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36235,plain,
% 15.96/12.04 (v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36234, 36214])).
% 15.96/12.04 tff(36236,plain,
% 15.96/12.04 ((~(v140(constB23) <=> (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))) | (~v140(constB23)) | (~(v88(constB23, bitIndex2) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36237,plain,
% 15.96/12.04 (~v140(constB23)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36236, 36235, 36233])).
% 15.96/12.04 tff(36238,plain,
% 15.96/12.04 ((~(v139(constB23) | v140(constB23))) | v139(constB23) | v140(constB23)),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36239,plain,
% 15.96/12.04 (~(v139(constB23) | v140(constB23))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36238, 36237, 36226])).
% 15.96/12.04 tff(36240,plain,
% 15.96/12.04 ((~(v170(constB23) <=> (v139(constB23) | v140(constB23)))) | (~v170(constB23)) | (v139(constB23) | v140(constB23))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.04 tff(36241,plain,
% 15.96/12.04 (~v170(constB23)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36240, 36239, 36220])).
% 15.96/12.04 tff(36242,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB23) | v170(constB23) | (~v169(constB23)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB23) | v170(constB23) | (~v169(constB23)))),
% 15.96/12.04 inference(rewrite,[status(thm)],[])).
% 15.96/12.04 tff(36243,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB23) | v170(constB23) | (~v169(constB23)))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36244,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB23) | v170(constB23) | (~v169(constB23))),
% 15.96/12.04 inference(modus_ponens,[status(thm)],[36243, 36242])).
% 15.96/12.04 tff(36245,plain,
% 15.96/12.04 (v141(constB23) | v170(constB23) | (~v169(constB23))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36244, 2278])).
% 15.96/12.04 tff(36246,plain,
% 15.96/12.04 (~v169(constB23)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36245, 36241, 36218])).
% 15.96/12.04 tff(36247,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB23) <=> (v145(constB23) | v166(constB23)))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36248,plain,
% 15.96/12.04 (v165(constB23) <=> (v145(constB23) | v166(constB23))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36247, 2293])).
% 15.96/12.04 tff(36249,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB23) <=> (v146(constB23) | v147(constB23)))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36250,plain,
% 15.96/12.04 (v145(constB23) <=> (v146(constB23) | v147(constB23))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36249, 2302])).
% 15.96/12.04 tff(36251,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))))),
% 15.96/12.04 inference(rewrite,[status(thm)],[])).
% 15.96/12.04 tff(36252,plain,
% 15.96/12.04 ((v147(constB23) <=> (~(v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | (~v88(constB23, bitIndex2))))) <=> (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))),
% 15.96/12.04 inference(rewrite,[status(thm)],[])).
% 15.96/12.04 tff(36253,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~(v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | (~v88(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))))),
% 15.96/12.04 inference(monotonicity,[status(thm)],[36252])).
% 15.96/12.04 tff(36254,plain,
% 15.96/12.04 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~(v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | (~v88(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))))),
% 15.96/12.04 inference(transitivity,[status(thm)],[36253, 36251])).
% 15.96/12.04 tff(36255,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~(v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | (~v88(constB23, bitIndex2)))))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36256,plain,
% 15.96/12.04 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))),
% 15.96/12.04 inference(modus_ponens,[status(thm)],[36255, 36254])).
% 15.96/12.04 tff(36257,plain,
% 15.96/12.04 (v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))))),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36256, 2317])).
% 15.96/12.04 tff(36258,plain,
% 15.96/12.04 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB23, bitIndex0) <=> v90(constB23, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB23, bitIndex0) <=> v90(constB23, bitIndex0)))),
% 15.96/12.04 inference(rewrite,[status(thm)],[])).
% 15.96/12.04 tff(36259,plain,
% 15.96/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB23, bitIndex0) <=> v90(constB23, bitIndex0)))),
% 15.96/12.04 inference(quant_inst,[status(thm)],[])).
% 15.96/12.04 tff(36260,plain,
% 15.96/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB23, bitIndex0) <=> v90(constB23, bitIndex0))),
% 15.96/12.04 inference(modus_ponens,[status(thm)],[36259, 36258])).
% 15.96/12.04 tff(36261,plain,
% 15.96/12.04 (v88(constB23, bitIndex0) <=> v90(constB23, bitIndex0)),
% 15.96/12.04 inference(unit_resolution,[status(thm)],[36260, 1275, 576])).
% 15.96/12.04 tff(36262,plain,
% 15.96/12.04 ((~(v88(constB23, bitIndex0) <=> v90(constB23, bitIndex0))) | v88(constB23, bitIndex0) | (~v90(constB23, bitIndex0))),
% 15.96/12.04 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36263,plain,
% 15.96/12.05 (v88(constB23, bitIndex0)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36262, 8684, 36261])).
% 15.96/12.05 tff(36264,plain,
% 15.96/12.05 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB23, bitIndex1) <=> v90(constB23, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB23, bitIndex1) <=> v90(constB23, bitIndex1)))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36265,plain,
% 15.96/12.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB23, bitIndex1) <=> v90(constB23, bitIndex1)))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36266,plain,
% 15.96/12.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB23, bitIndex1) <=> v90(constB23, bitIndex1))),
% 15.96/12.05 inference(modus_ponens,[status(thm)],[36265, 36264])).
% 15.96/12.05 tff(36267,plain,
% 15.96/12.05 (v88(constB23, bitIndex1) <=> v90(constB23, bitIndex1)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36266, 1288, 576])).
% 15.96/12.05 tff(36268,plain,
% 15.96/12.05 ((~(v88(constB23, bitIndex1) <=> v90(constB23, bitIndex1))) | (~v88(constB23, bitIndex1)) | v90(constB23, bitIndex1)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36269,plain,
% 15.96/12.05 (~v88(constB23, bitIndex1)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36268, 8715, 36267])).
% 15.96/12.05 tff(36270,plain,
% 15.96/12.05 ((~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36271,plain,
% 15.96/12.05 (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36270, 36269, 36263, 36214])).
% 15.96/12.05 tff(36272,plain,
% 15.96/12.05 ((~(v147(constB23) <=> (~((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))))) | v147(constB23) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36273,plain,
% 15.96/12.05 (v147(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36272, 36271, 36257])).
% 15.96/12.05 tff(36274,plain,
% 15.96/12.05 ((v146(constB23) | v147(constB23)) | (~v147(constB23))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36275,plain,
% 15.96/12.05 (v146(constB23) | v147(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36274, 36273])).
% 15.96/12.05 tff(36276,plain,
% 15.96/12.05 ((~(v145(constB23) <=> (v146(constB23) | v147(constB23)))) | v145(constB23) | (~(v146(constB23) | v147(constB23)))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36277,plain,
% 15.96/12.05 (v145(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36276, 36275, 36250])).
% 15.96/12.05 tff(36278,plain,
% 15.96/12.05 ((v145(constB23) | v166(constB23)) | (~v145(constB23))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36279,plain,
% 15.96/12.05 (v145(constB23) | v166(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36278, 36277])).
% 15.96/12.05 tff(36280,plain,
% 15.96/12.05 ((~(v165(constB23) <=> (v145(constB23) | v166(constB23)))) | v165(constB23) | (~(v145(constB23) | v166(constB23)))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36281,plain,
% 15.96/12.05 (v165(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36280, 36279, 36248])).
% 15.96/12.05 tff(36282,plain,
% 15.96/12.05 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB23)) | (v162(constB23) <=> v169(constB23)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB23)) | (v162(constB23) <=> v169(constB23)))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36283,plain,
% 15.96/12.05 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB23)) | (v162(constB23) <=> v169(constB23)))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36284,plain,
% 15.96/12.05 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB23)) | (v162(constB23) <=> v169(constB23))),
% 15.96/12.05 inference(modus_ponens,[status(thm)],[36283, 36282])).
% 15.96/12.05 tff(36285,plain,
% 15.96/12.05 ((~v165(constB23)) | (v162(constB23) <=> v169(constB23))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36284, 2426])).
% 15.96/12.05 tff(36286,plain,
% 15.96/12.05 (v162(constB23) <=> v169(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36285, 36281])).
% 15.96/12.05 tff(36287,plain,
% 15.96/12.05 ((~(v162(constB23) <=> v169(constB23))) | (~v162(constB23)) | v169(constB23)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36288,plain,
% 15.96/12.05 (~v162(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36287, 36286, 36246])).
% 15.96/12.05 tff(36289,plain,
% 15.96/12.05 ((~(v160(constB23) <=> v162(constB23))) | (~v160(constB23)) | v162(constB23)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36290,plain,
% 15.96/12.05 ((~(v160(constB23) <=> v162(constB23))) | (~v160(constB23))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36289, 36288])).
% 15.96/12.05 tff(36291,plain,
% 15.96/12.05 (~v160(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36290, 36206])).
% 15.96/12.05 tff(36292,plain,
% 15.96/12.05 (((~v184(constB23)) | (~v160(constB23))) | v160(constB23)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36293,plain,
% 15.96/12.05 ((~v184(constB23)) | (~v160(constB23))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36292, 36291])).
% 15.96/12.05 tff(36294,plain,
% 15.96/12.05 ((~(v187(constB23) <=> (~((~v184(constB23)) | (~v160(constB23)))))) | (~v187(constB23)) | (~((~v184(constB23)) | (~v160(constB23))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36295,plain,
% 15.96/12.05 (~v187(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36294, 36293, 36204])).
% 15.96/12.05 tff(36296,plain,
% 15.96/12.05 (((~v186(constB23)) | (~v187(constB23))) | v187(constB23)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36297,plain,
% 15.96/12.05 ((~v186(constB23)) | (~v187(constB23))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36296, 36295])).
% 15.96/12.05 tff(36298,plain,
% 15.96/12.05 ((~(v185(constB23) <=> (~((~v186(constB23)) | (~v187(constB23)))))) | (~v185(constB23)) | (~((~v186(constB23)) | (~v187(constB23))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36299,plain,
% 15.96/12.05 (~v185(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36298, 36297, 36202])).
% 15.96/12.05 tff(36300,plain,
% 15.96/12.05 ((~(v181(constB23) | v185(constB23))) | v181(constB23) | v185(constB23)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36301,plain,
% 15.96/12.05 (~(v181(constB23) | v185(constB23))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36300, 36299, 36200])).
% 15.96/12.05 tff(36302,plain,
% 15.96/12.05 ((~(v178(constB23) <=> (v181(constB23) | v185(constB23)))) | (~v178(constB23)) | (v181(constB23) | v185(constB23))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36303,plain,
% 15.96/12.05 (~v178(constB23)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36302, 36301, 36189])).
% 15.96/12.05 tff(36304,plain,
% 15.96/12.05 ((~(v180(constB24) <=> v178(constB23))) | (~v180(constB24)) | v178(constB23)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36305,plain,
% 15.96/12.05 (~v180(constB24)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36304, 36303, 36187])).
% 15.96/12.05 tff(36306,plain,
% 15.96/12.05 ((~(v158(constB24) <=> v180(constB24))) | (~v158(constB24)) | v180(constB24)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36307,plain,
% 15.96/12.05 (~v158(constB24)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36306, 36305, 36183])).
% 15.96/12.05 tff(36308,plain,
% 15.96/12.05 (((~v158(constB24)) | (~v182(constB24))) | v158(constB24)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36309,plain,
% 15.96/12.05 ((~v158(constB24)) | (~v182(constB24))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36308, 36307])).
% 15.96/12.05 tff(36310,plain,
% 15.96/12.05 ((~(v181(constB24) <=> (~((~v158(constB24)) | (~v182(constB24)))))) | (~v181(constB24)) | (~((~v158(constB24)) | (~v182(constB24))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36311,plain,
% 15.96/12.05 (~v181(constB24)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36310, 36309, 36181])).
% 15.96/12.05 tff(36312,plain,
% 15.96/12.05 ((~(v181(constB24) | v185(constB24))) | v181(constB24) | v185(constB24)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36313,plain,
% 15.96/12.05 (~(v181(constB24) | v185(constB24))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36312, 36311, 36174])).
% 15.96/12.05 tff(36314,plain,
% 15.96/12.05 ((~(v178(constB24) <=> (v181(constB24) | v185(constB24)))) | (~v178(constB24)) | (v181(constB24) | v185(constB24))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36315,plain,
% 15.96/12.05 (~v178(constB24)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36314, 36313, 36161])).
% 15.96/12.05 tff(36316,plain,
% 15.96/12.05 ((~(v180(constB25) <=> v178(constB24))) | (~v180(constB25)) | v178(constB24)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36317,plain,
% 15.96/12.05 (~v180(constB25)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36316, 36315, 36159])).
% 15.96/12.05 tff(36318,plain,
% 15.96/12.05 ((~(v158(constB25) <=> v180(constB25))) | (~v158(constB25)) | v180(constB25)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36319,plain,
% 15.96/12.05 (~v158(constB25)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36318, 36317, 36155])).
% 15.96/12.05 tff(36320,plain,
% 15.96/12.05 (((~v158(constB25)) | (~v206(constB25))) | v158(constB25)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36321,plain,
% 15.96/12.05 ((~v158(constB25)) | (~v206(constB25))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36320, 36319])).
% 15.96/12.05 tff(36322,plain,
% 15.96/12.05 ((~(v205(constB25) <=> (~((~v158(constB25)) | (~v206(constB25)))))) | (~v205(constB25)) | (~((~v158(constB25)) | (~v206(constB25))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36323,plain,
% 15.96/12.05 (~v205(constB25)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36322, 36321, 36153])).
% 15.96/12.05 tff(36324,plain,
% 15.96/12.05 ((~(v205(constB25) | v209(constB25))) | v205(constB25) | v209(constB25)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36325,plain,
% 15.96/12.05 (~(v205(constB25) | v209(constB25))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36324, 36323, 36146])).
% 15.96/12.05 tff(36326,plain,
% 15.96/12.05 ((~(v204(constB25) <=> (v205(constB25) | v209(constB25)))) | (~v204(constB25)) | (v205(constB25) | v209(constB25))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36327,plain,
% 15.96/12.05 (~v204(constB25)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36326, 36325, 35752])).
% 15.96/12.05 tff(36328,plain,
% 15.96/12.05 ($false),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36327, 35750])).
% 15.96/12.05 tff(36329,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.96/12.05 tff(36330,assumption,(constB92 = VarCurr!0), introduced(assumption)).
% 15.96/12.05 tff(36331,plain,
% 15.96/12.05 (v204(constB92) <=> v204(VarCurr!0)),
% 15.96/12.05 inference(monotonicity,[status(thm)],[36330])).
% 15.96/12.05 tff(36332,plain,
% 15.96/12.05 (v204(VarCurr!0) <=> v204(constB92)),
% 15.96/12.05 inference(symmetry,[status(thm)],[36331])).
% 15.96/12.05 tff(36333,plain,
% 15.96/12.05 (v204(constB92)),
% 15.96/12.05 inference(modus_ponens,[status(thm)],[27, 36332])).
% 15.96/12.05 tff(36334,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB92) <=> (v205(constB92) | v209(constB92)))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36335,plain,
% 15.96/12.05 (v204(constB92) <=> (v205(constB92) | v209(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36334, 35])).
% 15.96/12.05 tff(36336,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92))))))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36337,plain,
% 15.96/12.05 ((v209(constB92) <=> (~((~v206(constB92)) | (~v191(constB92))))) <=> (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92)))))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36338,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v206(constB92)) | (~v191(constB92)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92))))))),
% 15.96/12.05 inference(monotonicity,[status(thm)],[36337])).
% 15.96/12.05 tff(36339,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v206(constB92)) | (~v191(constB92)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92))))))),
% 15.96/12.05 inference(transitivity,[status(thm)],[36338, 36336])).
% 15.96/12.05 tff(36340,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v206(constB92)) | (~v191(constB92)))))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36341,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92)))))),
% 15.96/12.05 inference(modus_ponens,[status(thm)],[36340, 36339])).
% 15.96/12.05 tff(36342,plain,
% 15.96/12.05 (v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92))))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36341, 47])).
% 15.96/12.05 tff(36343,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB92) <=> (~((~v186(constB92)) | (~v207(constB92)))))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36344,plain,
% 15.96/12.05 (v206(constB92) <=> (~((~v186(constB92)) | (~v207(constB92))))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36343, 16227])).
% 15.96/12.05 tff(36345,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92))))))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36346,plain,
% 15.96/12.05 ((v207(constB92) <=> (~((~v208(constB92)) | (~v184(constB92))))) <=> (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92)))))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36347,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v208(constB92)) | (~v184(constB92)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92))))))),
% 15.96/12.05 inference(monotonicity,[status(thm)],[36346])).
% 15.96/12.05 tff(36348,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v208(constB92)) | (~v184(constB92)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92))))))),
% 15.96/12.05 inference(transitivity,[status(thm)],[36347, 36345])).
% 15.96/12.05 tff(36349,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v208(constB92)) | (~v184(constB92)))))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36350,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92)))))),
% 15.96/12.05 inference(modus_ponens,[status(thm)],[36349, 36348])).
% 15.96/12.05 tff(36351,plain,
% 15.96/12.05 (v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92))))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36350, 16239])).
% 15.96/12.05 tff(36352,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36353,plain,
% 15.96/12.05 (v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36352, 138])).
% 15.96/12.05 tff(36354,plain,
% 15.96/12.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36355,plain,
% 15.96/12.05 ((~v39(constB92)) <=> v1(constB92)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36354, 147])).
% 15.96/12.05 tff(36356,plain,
% 15.96/12.05 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36357,plain,
% 15.96/12.05 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36356, 4262])).
% 15.96/12.05 tff(36358,plain,
% 15.96/12.05 (~v39(constB92)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36357, 36355])).
% 15.96/12.05 tff(36359,plain,
% 15.96/12.05 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36360,plain,
% 15.96/12.05 ((~v39(constB92)) | (~v9(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36359, 36358])).
% 15.96/12.05 tff(36361,plain,
% 15.96/12.05 ((~(v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v184(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36362,plain,
% 15.96/12.05 ((~(v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v184(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36361, 36360])).
% 15.96/12.05 tff(36363,plain,
% 15.96/12.05 (~v184(constB92)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36362, 36353])).
% 15.96/12.05 tff(36364,plain,
% 15.96/12.05 (((~v184(constB92)) | (~v208(constB92))) | v184(constB92)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36365,plain,
% 15.96/12.05 ((~v184(constB92)) | (~v208(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36364, 36363])).
% 15.96/12.05 tff(36366,plain,
% 15.96/12.05 ((~(v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92)))))) | (~v207(constB92)) | (~((~v184(constB92)) | (~v208(constB92))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36367,plain,
% 15.96/12.05 ((~(v207(constB92) <=> (~((~v184(constB92)) | (~v208(constB92)))))) | (~v207(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36366, 36365])).
% 15.96/12.05 tff(36368,plain,
% 15.96/12.05 (~v207(constB92)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36367, 36351])).
% 15.96/12.05 tff(36369,plain,
% 15.96/12.05 (((~v186(constB92)) | (~v207(constB92))) | v207(constB92)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36370,plain,
% 15.96/12.05 ((~v186(constB92)) | (~v207(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36369, 36368])).
% 15.96/12.05 tff(36371,plain,
% 15.96/12.05 ((~(v206(constB92) <=> (~((~v186(constB92)) | (~v207(constB92)))))) | (~v206(constB92)) | (~((~v186(constB92)) | (~v207(constB92))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36372,plain,
% 15.96/12.05 (~v206(constB92)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36371, 36370, 36344])).
% 15.96/12.05 tff(36373,plain,
% 15.96/12.05 (((~v191(constB92)) | (~v206(constB92))) | v206(constB92)),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36374,plain,
% 15.96/12.05 ((~v191(constB92)) | (~v206(constB92))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36373, 36372])).
% 15.96/12.05 tff(36375,plain,
% 15.96/12.05 ((~(v209(constB92) <=> (~((~v191(constB92)) | (~v206(constB92)))))) | (~v209(constB92)) | (~((~v191(constB92)) | (~v206(constB92))))),
% 15.96/12.05 inference(tautology,[status(thm)],[])).
% 15.96/12.05 tff(36376,plain,
% 15.96/12.05 (~v209(constB92)),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36375, 36374, 36342])).
% 15.96/12.05 tff(36377,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92))))))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36378,plain,
% 15.96/12.05 ((v205(constB92) <=> (~((~v206(constB92)) | (~v158(constB92))))) <=> (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92)))))),
% 15.96/12.05 inference(rewrite,[status(thm)],[])).
% 15.96/12.05 tff(36379,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v206(constB92)) | (~v158(constB92)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92))))))),
% 15.96/12.05 inference(monotonicity,[status(thm)],[36378])).
% 15.96/12.05 tff(36380,plain,
% 15.96/12.05 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v206(constB92)) | (~v158(constB92)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92))))))),
% 15.96/12.05 inference(transitivity,[status(thm)],[36379, 36377])).
% 15.96/12.05 tff(36381,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v206(constB92)) | (~v158(constB92)))))),
% 15.96/12.05 inference(quant_inst,[status(thm)],[])).
% 15.96/12.05 tff(36382,plain,
% 15.96/12.05 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92)))))),
% 15.96/12.05 inference(modus_ponens,[status(thm)],[36381, 36380])).
% 15.96/12.05 tff(36383,plain,
% 15.96/12.05 (v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92))))),
% 15.96/12.05 inference(unit_resolution,[status(thm)],[36382, 2502])).
% 15.96/12.06 tff(36384,plain,
% 15.96/12.06 (((~v158(constB92)) | (~v206(constB92))) | v206(constB92)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36385,plain,
% 15.96/12.06 ((~v158(constB92)) | (~v206(constB92))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36384, 36372])).
% 15.96/12.06 tff(36386,plain,
% 15.96/12.06 ((~(v205(constB92) <=> (~((~v158(constB92)) | (~v206(constB92)))))) | (~v205(constB92)) | (~((~v158(constB92)) | (~v206(constB92))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36387,plain,
% 15.96/12.06 (~v205(constB92)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36386, 36385, 36383])).
% 15.96/12.06 tff(36388,plain,
% 15.96/12.06 ((~(v205(constB92) | v209(constB92))) | v205(constB92) | v209(constB92)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36389,plain,
% 15.96/12.06 (~(v205(constB92) | v209(constB92))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36388, 36387, 36376])).
% 15.96/12.06 tff(36390,plain,
% 15.96/12.06 ((~(v204(constB92) <=> (v205(constB92) | v209(constB92)))) | (~v204(constB92)) | (v205(constB92) | v209(constB92))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36391,plain,
% 15.96/12.06 ((~(v204(constB92) <=> (v205(constB92) | v209(constB92)))) | (~v204(constB92))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36390, 36389])).
% 15.96/12.06 tff(36392,plain,
% 15.96/12.06 (~v204(constB92)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36391, 36335])).
% 15.96/12.06 tff(36393,plain,
% 15.96/12.06 ($false),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36392, 36333])).
% 15.96/12.06 tff(36394,plain,(~(constB92 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.96/12.06 tff(36395,assumption,(constB118 = VarCurr!0), introduced(assumption)).
% 15.96/12.06 tff(36396,plain,
% 15.96/12.06 (v204(constB118) <=> v204(VarCurr!0)),
% 15.96/12.06 inference(monotonicity,[status(thm)],[36395])).
% 15.96/12.06 tff(36397,plain,
% 15.96/12.06 (v204(VarCurr!0) <=> v204(constB118)),
% 15.96/12.06 inference(symmetry,[status(thm)],[36396])).
% 15.96/12.06 tff(36398,plain,
% 15.96/12.06 (v204(constB118)),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[27, 36397])).
% 15.96/12.06 tff(36399,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB118) <=> (v205(constB118) | v209(constB118)))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36400,plain,
% 15.96/12.06 (v204(constB118) <=> (v205(constB118) | v209(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36399, 35])).
% 15.96/12.06 tff(36401,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118))))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36402,plain,
% 15.96/12.06 ((v209(constB118) <=> (~((~v206(constB118)) | (~v191(constB118))))) <=> (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118)))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36403,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v206(constB118)) | (~v191(constB118)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118))))))),
% 15.96/12.06 inference(monotonicity,[status(thm)],[36402])).
% 15.96/12.06 tff(36404,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v206(constB118)) | (~v191(constB118)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118))))))),
% 15.96/12.06 inference(transitivity,[status(thm)],[36403, 36401])).
% 15.96/12.06 tff(36405,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v206(constB118)) | (~v191(constB118)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36406,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118)))))),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[36405, 36404])).
% 15.96/12.06 tff(36407,plain,
% 15.96/12.06 (v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36406, 47])).
% 15.96/12.06 tff(36408,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB118) <=> (~((~v186(constB118)) | (~v207(constB118)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36409,plain,
% 15.96/12.06 (v206(constB118) <=> (~((~v186(constB118)) | (~v207(constB118))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36408, 16227])).
% 15.96/12.06 tff(36410,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118))))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36411,plain,
% 15.96/12.06 ((v207(constB118) <=> (~((~v208(constB118)) | (~v184(constB118))))) <=> (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118)))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36412,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v208(constB118)) | (~v184(constB118)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118))))))),
% 15.96/12.06 inference(monotonicity,[status(thm)],[36411])).
% 15.96/12.06 tff(36413,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v208(constB118)) | (~v184(constB118)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118))))))),
% 15.96/12.06 inference(transitivity,[status(thm)],[36412, 36410])).
% 15.96/12.06 tff(36414,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v208(constB118)) | (~v184(constB118)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36415,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118)))))),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[36414, 36413])).
% 15.96/12.06 tff(36416,plain,
% 15.96/12.06 (v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36415, 16239])).
% 15.96/12.06 tff(36417,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36418,plain,
% 15.96/12.06 (v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36417, 138])).
% 15.96/12.06 tff(36419,plain,
% 15.96/12.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB118)) <=> v1(constB118))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36420,plain,
% 15.96/12.06 ((~v39(constB118)) <=> v1(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36419, 147])).
% 15.96/12.06 tff(36421,plain,
% 15.96/12.06 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118)) | (~v1(constB118))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36422,plain,
% 15.96/12.06 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36421, 18113])).
% 15.96/12.06 tff(36423,plain,
% 15.96/12.06 (~v39(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36422, 36420])).
% 15.96/12.06 tff(36424,plain,
% 15.96/12.06 (((~v39(constB118)) | (~v9(constB118))) | v39(constB118)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36425,plain,
% 15.96/12.06 ((~v39(constB118)) | (~v9(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36424, 36423])).
% 15.96/12.06 tff(36426,plain,
% 15.96/12.06 ((~(v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v184(constB118)) | (~((~v39(constB118)) | (~v9(constB118))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36427,plain,
% 15.96/12.06 ((~(v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v184(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36426, 36425])).
% 15.96/12.06 tff(36428,plain,
% 15.96/12.06 (~v184(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36427, 36418])).
% 15.96/12.06 tff(36429,plain,
% 15.96/12.06 (((~v184(constB118)) | (~v208(constB118))) | v184(constB118)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36430,plain,
% 15.96/12.06 ((~v184(constB118)) | (~v208(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36429, 36428])).
% 15.96/12.06 tff(36431,plain,
% 15.96/12.06 ((~(v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118)))))) | (~v207(constB118)) | (~((~v184(constB118)) | (~v208(constB118))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36432,plain,
% 15.96/12.06 ((~(v207(constB118) <=> (~((~v184(constB118)) | (~v208(constB118)))))) | (~v207(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36431, 36430])).
% 15.96/12.06 tff(36433,plain,
% 15.96/12.06 (~v207(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36432, 36416])).
% 15.96/12.06 tff(36434,plain,
% 15.96/12.06 (((~v186(constB118)) | (~v207(constB118))) | v207(constB118)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36435,plain,
% 15.96/12.06 ((~v186(constB118)) | (~v207(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36434, 36433])).
% 15.96/12.06 tff(36436,plain,
% 15.96/12.06 ((~(v206(constB118) <=> (~((~v186(constB118)) | (~v207(constB118)))))) | (~v206(constB118)) | (~((~v186(constB118)) | (~v207(constB118))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36437,plain,
% 15.96/12.06 (~v206(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36436, 36435, 36409])).
% 15.96/12.06 tff(36438,plain,
% 15.96/12.06 (((~v191(constB118)) | (~v206(constB118))) | v206(constB118)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36439,plain,
% 15.96/12.06 ((~v191(constB118)) | (~v206(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36438, 36437])).
% 15.96/12.06 tff(36440,plain,
% 15.96/12.06 ((~(v209(constB118) <=> (~((~v191(constB118)) | (~v206(constB118)))))) | (~v209(constB118)) | (~((~v191(constB118)) | (~v206(constB118))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36441,plain,
% 15.96/12.06 (~v209(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36440, 36439, 36407])).
% 15.96/12.06 tff(36442,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118))))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36443,plain,
% 15.96/12.06 ((v205(constB118) <=> (~((~v206(constB118)) | (~v158(constB118))))) <=> (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118)))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36444,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v206(constB118)) | (~v158(constB118)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118))))))),
% 15.96/12.06 inference(monotonicity,[status(thm)],[36443])).
% 15.96/12.06 tff(36445,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v206(constB118)) | (~v158(constB118)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118))))))),
% 15.96/12.06 inference(transitivity,[status(thm)],[36444, 36442])).
% 15.96/12.06 tff(36446,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v206(constB118)) | (~v158(constB118)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36447,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118)))))),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[36446, 36445])).
% 15.96/12.06 tff(36448,plain,
% 15.96/12.06 (v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36447, 2502])).
% 15.96/12.06 tff(36449,plain,
% 15.96/12.06 (((~v158(constB118)) | (~v206(constB118))) | v206(constB118)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36450,plain,
% 15.96/12.06 ((~v158(constB118)) | (~v206(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36449, 36437])).
% 15.96/12.06 tff(36451,plain,
% 15.96/12.06 ((~(v205(constB118) <=> (~((~v158(constB118)) | (~v206(constB118)))))) | (~v205(constB118)) | (~((~v158(constB118)) | (~v206(constB118))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36452,plain,
% 15.96/12.06 (~v205(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36451, 36450, 36448])).
% 15.96/12.06 tff(36453,plain,
% 15.96/12.06 ((~(v205(constB118) | v209(constB118))) | v205(constB118) | v209(constB118)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36454,plain,
% 15.96/12.06 (~(v205(constB118) | v209(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36453, 36452, 36441])).
% 15.96/12.06 tff(36455,plain,
% 15.96/12.06 ((~(v204(constB118) <=> (v205(constB118) | v209(constB118)))) | (~v204(constB118)) | (v205(constB118) | v209(constB118))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36456,plain,
% 15.96/12.06 ((~(v204(constB118) <=> (v205(constB118) | v209(constB118)))) | (~v204(constB118))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36455, 36454])).
% 15.96/12.06 tff(36457,plain,
% 15.96/12.06 (~v204(constB118)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36456, 36400])).
% 15.96/12.06 tff(36458,plain,
% 15.96/12.06 ($false),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36457, 36398])).
% 15.96/12.06 tff(36459,plain,(~(constB118 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.96/12.06 tff(36460,assumption,(constB5 = VarCurr!0), introduced(assumption)).
% 15.96/12.06 tff(36461,plain,
% 15.96/12.06 (v204(constB5) <=> v204(VarCurr!0)),
% 15.96/12.06 inference(monotonicity,[status(thm)],[36460])).
% 15.96/12.06 tff(36462,plain,
% 15.96/12.06 (v204(VarCurr!0) <=> v204(constB5)),
% 15.96/12.06 inference(symmetry,[status(thm)],[36461])).
% 15.96/12.06 tff(36463,plain,
% 15.96/12.06 (v204(constB5)),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[27, 36462])).
% 15.96/12.06 tff(36464,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB5) <=> (v205(constB5) | v209(constB5)))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36465,plain,
% 15.96/12.06 (v204(constB5) <=> (v205(constB5) | v209(constB5))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36464, 35])).
% 15.96/12.06 tff(36466,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5))))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36467,plain,
% 15.96/12.06 ((v205(constB5) <=> (~((~v206(constB5)) | (~v158(constB5))))) <=> (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5)))))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36468,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v206(constB5)) | (~v158(constB5)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5))))))),
% 15.96/12.06 inference(monotonicity,[status(thm)],[36467])).
% 15.96/12.06 tff(36469,plain,
% 15.96/12.06 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v206(constB5)) | (~v158(constB5)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5))))))),
% 15.96/12.06 inference(transitivity,[status(thm)],[36468, 36466])).
% 15.96/12.06 tff(36470,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v206(constB5)) | (~v158(constB5)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36471,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5)))))),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[36470, 36469])).
% 15.96/12.06 tff(36472,plain,
% 15.96/12.06 (v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36471, 2502])).
% 15.96/12.06 tff(36473,plain,
% 15.96/12.06 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB5) <=> v180(constB5))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36474,plain,
% 15.96/12.06 (v158(constB5) <=> v180(constB5)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36473, 358])).
% 15.96/12.06 tff(36475,plain,
% 15.96/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB4, constB5)) | (v180(constB5) <=> v178(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB4, constB5)) | (v180(constB5) <=> v178(constB4)))),
% 15.96/12.06 inference(rewrite,[status(thm)],[])).
% 15.96/12.06 tff(36476,plain,
% 15.96/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB4, constB5)) | (v180(constB5) <=> v178(constB4)))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36477,plain,
% 15.96/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB4, constB5)) | (v180(constB5) <=> v178(constB4))),
% 15.96/12.06 inference(modus_ponens,[status(thm)],[36476, 36475])).
% 15.96/12.06 tff(36478,plain,
% 15.96/12.06 (v180(constB5) <=> v178(constB4)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36477, 1025, 370])).
% 15.96/12.06 tff(36479,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB4) <=> (v181(constB4) | v185(constB4)))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36480,plain,
% 15.96/12.06 (v178(constB4) <=> (v181(constB4) | v185(constB4))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36479, 384])).
% 15.96/12.06 tff(36481,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB4) <=> (~((~v186(constB4)) | (~v187(constB4)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36482,plain,
% 15.96/12.06 (v185(constB4) <=> (~((~v186(constB4)) | (~v187(constB4))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36481, 396])).
% 15.96/12.06 tff(36483,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB4) <=> (~((~v184(constB4)) | (~v160(constB4)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36484,plain,
% 15.96/12.06 (v187(constB4) <=> (~((~v184(constB4)) | (~v160(constB4))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36483, 408])).
% 15.96/12.06 tff(36485,plain,
% 15.96/12.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36486,plain,
% 15.96/12.06 (v184(constB4) <=> (~((~v39(constB4)) | (~v9(constB4))))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36485, 138])).
% 15.96/12.06 tff(36487,plain,
% 15.96/12.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB4)) <=> v1(constB4))),
% 15.96/12.06 inference(quant_inst,[status(thm)],[])).
% 15.96/12.06 tff(36488,plain,
% 15.96/12.06 ((~v39(constB4)) <=> v1(constB4)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36487, 147])).
% 15.96/12.06 tff(36489,plain,
% 15.96/12.06 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4)) | (~v1(constB4))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36490,plain,
% 15.96/12.06 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36489, 1087])).
% 15.96/12.06 tff(36491,plain,
% 15.96/12.06 (~v39(constB4)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36490, 36488])).
% 15.96/12.06 tff(36492,plain,
% 15.96/12.06 (((~v39(constB4)) | (~v9(constB4))) | v39(constB4)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36493,plain,
% 15.96/12.06 ((~v39(constB4)) | (~v9(constB4))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36492, 36491])).
% 15.96/12.06 tff(36494,plain,
% 15.96/12.06 ((~(v184(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v184(constB4)) | (~((~v39(constB4)) | (~v9(constB4))))),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36495,plain,
% 15.96/12.06 ((~(v184(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v184(constB4))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36494, 36493])).
% 15.96/12.06 tff(36496,plain,
% 15.96/12.06 (~v184(constB4)),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36495, 36486])).
% 15.96/12.06 tff(36497,plain,
% 15.96/12.06 (((~v184(constB4)) | (~v160(constB4))) | v184(constB4)),
% 15.96/12.06 inference(tautology,[status(thm)],[])).
% 15.96/12.06 tff(36498,plain,
% 15.96/12.06 ((~v184(constB4)) | (~v160(constB4))),
% 15.96/12.06 inference(unit_resolution,[status(thm)],[36497, 36496])).
% 15.96/12.06 tff(36499,plain,
% 15.96/12.07 ((~(v187(constB4) <=> (~((~v184(constB4)) | (~v160(constB4)))))) | (~v187(constB4)) | (~((~v184(constB4)) | (~v160(constB4))))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36500,plain,
% 15.96/12.07 ((~(v187(constB4) <=> (~((~v184(constB4)) | (~v160(constB4)))))) | (~v187(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36499, 36498])).
% 15.96/12.07 tff(36501,plain,
% 15.96/12.07 (~v187(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36500, 36484])).
% 15.96/12.07 tff(36502,plain,
% 15.96/12.07 (((~v186(constB4)) | (~v187(constB4))) | v187(constB4)),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36503,plain,
% 15.96/12.07 ((~v186(constB4)) | (~v187(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36502, 36501])).
% 15.96/12.07 tff(36504,plain,
% 15.96/12.07 ((~(v185(constB4) <=> (~((~v186(constB4)) | (~v187(constB4)))))) | (~v185(constB4)) | (~((~v186(constB4)) | (~v187(constB4))))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36505,plain,
% 15.96/12.07 (~v185(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36504, 36503, 36482])).
% 15.96/12.07 tff(36506,plain,
% 15.96/12.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4))))))),
% 15.96/12.07 inference(rewrite,[status(thm)],[])).
% 15.96/12.07 tff(36507,plain,
% 15.96/12.07 ((v181(constB4) <=> (~((~v182(constB4)) | (~v158(constB4))))) <=> (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4)))))),
% 15.96/12.07 inference(rewrite,[status(thm)],[])).
% 15.96/12.07 tff(36508,plain,
% 15.96/12.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v182(constB4)) | (~v158(constB4)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4))))))),
% 15.96/12.07 inference(monotonicity,[status(thm)],[36507])).
% 15.96/12.07 tff(36509,plain,
% 15.96/12.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v182(constB4)) | (~v158(constB4)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4))))))),
% 15.96/12.07 inference(transitivity,[status(thm)],[36508, 36506])).
% 15.96/12.07 tff(36510,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v182(constB4)) | (~v158(constB4)))))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36511,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4)))))),
% 15.96/12.07 inference(modus_ponens,[status(thm)],[36510, 36509])).
% 15.96/12.07 tff(36512,plain,
% 15.96/12.07 (v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4))))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36511, 444])).
% 15.96/12.07 tff(36513,plain,
% 15.96/12.07 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB4) <=> v180(constB4))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36514,plain,
% 15.96/12.07 (v158(constB4) <=> v180(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36513, 358])).
% 15.96/12.07 tff(36515,plain,
% 15.96/12.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB3, constB4)) | (v180(constB4) <=> v178(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB3, constB4)) | (v180(constB4) <=> v178(constB3)))),
% 15.96/12.07 inference(rewrite,[status(thm)],[])).
% 15.96/12.07 tff(36516,plain,
% 15.96/12.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB3, constB4)) | (v180(constB4) <=> v178(constB3)))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36517,plain,
% 15.96/12.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB3, constB4)) | (v180(constB4) <=> v178(constB3))),
% 15.96/12.07 inference(modus_ponens,[status(thm)],[36516, 36515])).
% 15.96/12.07 tff(36518,plain,
% 15.96/12.07 (v180(constB4) <=> v178(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36517, 1057, 370])).
% 15.96/12.07 tff(36519,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB3) <=> (v181(constB3) | v185(constB3)))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36520,plain,
% 15.96/12.07 (v178(constB3) <=> (v181(constB3) | v185(constB3))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36519, 384])).
% 15.96/12.07 tff(36521,plain,
% 15.96/12.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3))))))),
% 15.96/12.07 inference(rewrite,[status(thm)],[])).
% 15.96/12.07 tff(36522,plain,
% 15.96/12.07 ((v181(constB3) <=> (~((~v182(constB3)) | (~v158(constB3))))) <=> (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3)))))),
% 15.96/12.07 inference(rewrite,[status(thm)],[])).
% 15.96/12.07 tff(36523,plain,
% 15.96/12.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v182(constB3)) | (~v158(constB3)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3))))))),
% 15.96/12.07 inference(monotonicity,[status(thm)],[36522])).
% 15.96/12.07 tff(36524,plain,
% 15.96/12.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v182(constB3)) | (~v158(constB3)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3))))))),
% 15.96/12.07 inference(transitivity,[status(thm)],[36523, 36521])).
% 15.96/12.07 tff(36525,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v182(constB3)) | (~v158(constB3)))))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36526,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3)))))),
% 15.96/12.07 inference(modus_ponens,[status(thm)],[36525, 36524])).
% 15.96/12.07 tff(36527,plain,
% 15.96/12.07 (v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3))))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36526, 444])).
% 15.96/12.07 tff(36528,plain,
% 15.96/12.07 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB3)) <=> v183(constB3))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36529,plain,
% 15.96/12.07 ((~v182(constB3)) <=> v183(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36528, 205])).
% 15.96/12.07 tff(36530,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB3) <=> (v184(constB3) | v26(constB3)))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36531,plain,
% 15.96/12.07 (v183(constB3) <=> (v184(constB3) | v26(constB3))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36530, 214])).
% 15.96/12.07 tff(36532,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB3) <=> (~((~v39(constB3)) | (~v9(constB3)))))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36533,plain,
% 15.96/12.07 (v184(constB3) <=> (~((~v39(constB3)) | (~v9(constB3))))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36532, 138])).
% 15.96/12.07 tff(36534,plain,
% 15.96/12.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB3, constB4)) | (v13(constB4) <=> v9(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB3, constB4)) | (v13(constB4) <=> v9(constB3)))),
% 15.96/12.07 inference(rewrite,[status(thm)],[])).
% 15.96/12.07 tff(36535,plain,
% 15.96/12.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB3, constB4)) | (v13(constB4) <=> v9(constB3)))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36536,plain,
% 15.96/12.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB3, constB4)) | (v13(constB4) <=> v9(constB3))),
% 15.96/12.07 inference(modus_ponens,[status(thm)],[36535, 36534])).
% 15.96/12.07 tff(36537,plain,
% 15.96/12.07 (v13(constB4) <=> v9(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36536, 1057, 228])).
% 15.96/12.07 tff(36538,plain,
% 15.96/12.07 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB4) <=> v13(constB4))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36539,plain,
% 15.96/12.07 (v6(constB4) <=> v13(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36538, 242])).
% 15.96/12.07 tff(36540,plain,
% 15.96/12.07 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB4)) <=> v6(constB4))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36541,plain,
% 15.96/12.07 ((~v21(constB4)) <=> v6(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36540, 251])).
% 15.96/12.07 tff(36542,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB4) <=> (v20(constB4) | v21(constB4)))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36543,plain,
% 15.96/12.07 (v19(constB4) <=> (v20(constB4) | v21(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36542, 260])).
% 15.96/12.07 tff(36544,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB4) <=> (~((~v19(constB4)) | (~v22(constB4)))))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36545,plain,
% 15.96/12.07 (v18(constB4) <=> (~((~v19(constB4)) | (~v22(constB4))))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36544, 272])).
% 15.96/12.07 tff(36546,plain,
% 15.96/12.07 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB4)) <=> v18(constB4))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36547,plain,
% 15.96/12.07 ((~v4(constB4)) <=> v18(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36546, 281])).
% 15.96/12.07 tff(36548,plain,
% 15.96/12.07 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB4)),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36549,plain,
% 15.96/12.07 (v4(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36548, 290])).
% 15.96/12.07 tff(36550,plain,
% 15.96/12.07 ((~((~v4(constB4)) <=> v18(constB4))) | (~v4(constB4)) | (~v18(constB4))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36551,plain,
% 15.96/12.07 (~v18(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36550, 36549, 36547])).
% 15.96/12.07 tff(36552,plain,
% 15.96/12.07 ((~(v18(constB4) <=> (~((~v19(constB4)) | (~v22(constB4)))))) | v18(constB4) | ((~v19(constB4)) | (~v22(constB4)))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36553,plain,
% 15.96/12.07 ((~v19(constB4)) | (~v22(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36552, 36551, 36545])).
% 15.96/12.07 tff(36554,plain,
% 15.96/12.07 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB4) <=> (v1(constB4) | v6(constB4)))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36555,plain,
% 15.96/12.07 (v22(constB4) <=> (v1(constB4) | v6(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36554, 303])).
% 15.96/12.07 tff(36556,plain,
% 15.96/12.07 ((v1(constB4) | v6(constB4)) | (~v1(constB4))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36557,plain,
% 15.96/12.07 (v1(constB4) | v6(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36556, 1087])).
% 15.96/12.07 tff(36558,plain,
% 15.96/12.07 ((~(v22(constB4) <=> (v1(constB4) | v6(constB4)))) | v22(constB4) | (~(v1(constB4) | v6(constB4)))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36559,plain,
% 15.96/12.07 ((~(v22(constB4) <=> (v1(constB4) | v6(constB4)))) | v22(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36558, 36557])).
% 15.96/12.07 tff(36560,plain,
% 15.96/12.07 (v22(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36559, 36555])).
% 15.96/12.07 tff(36561,plain,
% 15.96/12.07 ((~((~v19(constB4)) | (~v22(constB4)))) | (~v19(constB4)) | (~v22(constB4))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36562,plain,
% 15.96/12.07 ((~((~v19(constB4)) | (~v22(constB4)))) | (~v19(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36561, 36560])).
% 15.96/12.07 tff(36563,plain,
% 15.96/12.07 (~v19(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36562, 36553])).
% 15.96/12.07 tff(36564,plain,
% 15.96/12.07 ((~(v19(constB4) <=> (v20(constB4) | v21(constB4)))) | v19(constB4) | (~(v20(constB4) | v21(constB4)))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36565,plain,
% 15.96/12.07 (~(v20(constB4) | v21(constB4))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36564, 36563, 36543])).
% 15.96/12.07 tff(36566,plain,
% 15.96/12.07 ((v20(constB4) | v21(constB4)) | (~v21(constB4))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36567,plain,
% 15.96/12.07 (~v21(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36566, 36565])).
% 15.96/12.07 tff(36568,plain,
% 15.96/12.07 ((~((~v21(constB4)) <=> v6(constB4))) | v21(constB4) | v6(constB4)),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36569,plain,
% 15.96/12.07 (v6(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36568, 36567, 36541])).
% 15.96/12.07 tff(36570,plain,
% 15.96/12.07 ((~(v6(constB4) <=> v13(constB4))) | (~v6(constB4)) | v13(constB4)),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36571,plain,
% 15.96/12.07 (v13(constB4)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36570, 36569, 36539])).
% 15.96/12.07 tff(36572,plain,
% 15.96/12.07 ((~(v13(constB4) <=> v9(constB3))) | (~v13(constB4)) | v9(constB3)),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36573,plain,
% 15.96/12.07 (v9(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36572, 36571, 36537])).
% 15.96/12.07 tff(36574,plain,
% 15.96/12.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB3)) <=> v1(constB3))),
% 15.96/12.07 inference(quant_inst,[status(thm)],[])).
% 15.96/12.07 tff(36575,plain,
% 15.96/12.07 ((~v39(constB3)) <=> v1(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36574, 147])).
% 15.96/12.07 tff(36576,plain,
% 15.96/12.07 ((~((~v39(constB3)) <=> v1(constB3))) | v39(constB3) | v1(constB3)),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36577,plain,
% 15.96/12.07 ((~((~v39(constB3)) <=> v1(constB3))) | v39(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36576, 1079])).
% 15.96/12.07 tff(36578,plain,
% 15.96/12.07 (v39(constB3)),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36577, 36575])).
% 15.96/12.07 tff(36579,plain,
% 15.96/12.07 ((~((~v39(constB3)) | (~v9(constB3)))) | (~v39(constB3)) | (~v9(constB3))),
% 15.96/12.07 inference(tautology,[status(thm)],[])).
% 15.96/12.07 tff(36580,plain,
% 15.96/12.07 ((~((~v39(constB3)) | (~v9(constB3)))) | (~v9(constB3))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36579, 36578])).
% 15.96/12.07 tff(36581,plain,
% 15.96/12.07 (~((~v39(constB3)) | (~v9(constB3)))),
% 15.96/12.07 inference(unit_resolution,[status(thm)],[36580, 36573])).
% 15.96/12.07 tff(36582,plain,
% 15.96/12.07 ((~(v184(constB3) <=> (~((~v39(constB3)) | (~v9(constB3)))))) | v184(constB3) | ((~v39(constB3)) | (~v9(constB3)))),
% 16.02/12.07 inference(tautology,[status(thm)],[])).
% 16.02/12.07 tff(36583,plain,
% 16.02/12.07 (v184(constB3)),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36582, 36581, 36533])).
% 16.02/12.07 tff(36584,plain,
% 16.02/12.07 ((v184(constB3) | v26(constB3)) | (~v184(constB3))),
% 16.02/12.07 inference(tautology,[status(thm)],[])).
% 16.02/12.07 tff(36585,plain,
% 16.02/12.07 (v184(constB3) | v26(constB3)),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36584, 36583])).
% 16.02/12.07 tff(36586,plain,
% 16.02/12.07 ((~(v183(constB3) <=> (v184(constB3) | v26(constB3)))) | v183(constB3) | (~(v184(constB3) | v26(constB3)))),
% 16.02/12.07 inference(tautology,[status(thm)],[])).
% 16.02/12.07 tff(36587,plain,
% 16.02/12.07 (v183(constB3)),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36586, 36585, 36531])).
% 16.02/12.07 tff(36588,plain,
% 16.02/12.07 ((~((~v182(constB3)) <=> v183(constB3))) | (~v182(constB3)) | (~v183(constB3))),
% 16.02/12.07 inference(tautology,[status(thm)],[])).
% 16.02/12.07 tff(36589,plain,
% 16.02/12.07 (~v182(constB3)),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36588, 36587, 36529])).
% 16.02/12.07 tff(36590,plain,
% 16.02/12.07 (((~v158(constB3)) | (~v182(constB3))) | v182(constB3)),
% 16.02/12.07 inference(tautology,[status(thm)],[])).
% 16.02/12.07 tff(36591,plain,
% 16.02/12.07 ((~v158(constB3)) | (~v182(constB3))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36590, 36589])).
% 16.02/12.07 tff(36592,plain,
% 16.02/12.07 ((~(v181(constB3) <=> (~((~v158(constB3)) | (~v182(constB3)))))) | (~v181(constB3)) | (~((~v158(constB3)) | (~v182(constB3))))),
% 16.02/12.07 inference(tautology,[status(thm)],[])).
% 16.02/12.07 tff(36593,plain,
% 16.02/12.07 (~v181(constB3)),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36592, 36591, 36527])).
% 16.02/12.07 tff(36594,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB3) <=> (~((~v186(constB3)) | (~v187(constB3)))))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36595,plain,
% 16.02/12.07 (v185(constB3) <=> (~((~v186(constB3)) | (~v187(constB3))))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36594, 396])).
% 16.02/12.07 tff(36596,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB3) <=> (~((~v184(constB3)) | (~v160(constB3)))))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36597,plain,
% 16.02/12.07 (v187(constB3) <=> (~((~v184(constB3)) | (~v160(constB3))))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36596, 408])).
% 16.02/12.07 tff(36598,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB3) <=> v162(constB3))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36599,plain,
% 16.02/12.07 (v160(constB3) <=> v162(constB3)),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36598, 549])).
% 16.02/12.07 tff(36600,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB3) <=> (v145(constB3) | v166(constB3)))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36601,plain,
% 16.02/12.07 (v165(constB3) <=> (v145(constB3) | v166(constB3))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36600, 2293])).
% 16.02/12.07 tff(36602,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB3) <=> (v142(constB3) | v167(constB3)))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36603,plain,
% 16.02/12.07 (v166(constB3) <=> (v142(constB3) | v167(constB3))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36602, 2804])).
% 16.02/12.07 tff(36604,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB3) <=> (v141(constB3) | v168(constB3)))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36605,plain,
% 16.02/12.07 (v167(constB3) <=> (v141(constB3) | v168(constB3))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36604, 18692])).
% 16.02/12.07 tff(36606,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB3) <=> (v139(constB3) | v140(constB3)))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36607,plain,
% 16.02/12.07 (v168(constB3) <=> (v139(constB3) | v140(constB3))),
% 16.02/12.07 inference(unit_resolution,[status(thm)],[36606, 18701])).
% 16.02/12.07 tff(36608,plain,
% 16.02/12.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0))))))),
% 16.02/12.07 inference(rewrite,[status(thm)],[])).
% 16.02/12.07 tff(36609,plain,
% 16.02/12.07 ((v140(constB3) <=> (~(v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0))))) <=> (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))))),
% 16.02/12.07 inference(rewrite,[status(thm)],[])).
% 16.02/12.07 tff(36610,plain,
% 16.02/12.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0))))))),
% 16.02/12.07 inference(monotonicity,[status(thm)],[36609])).
% 16.02/12.07 tff(36611,plain,
% 16.02/12.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0))))))),
% 16.02/12.07 inference(transitivity,[status(thm)],[36610, 36608])).
% 16.02/12.07 tff(36612,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)))))),
% 16.02/12.07 inference(quant_inst,[status(thm)],[])).
% 16.02/12.07 tff(36613,plain,
% 16.02/12.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36612, 36611])).
% 16.02/12.08 tff(36614,plain,
% 16.02/12.08 (v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0))))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36613, 2250])).
% 16.02/12.08 tff(36615,plain,
% 16.02/12.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB3, bitIndex2) <=> v90(constB3, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB3, bitIndex2) <=> v90(constB3, bitIndex2)))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36616,plain,
% 16.02/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB3, bitIndex2) <=> v90(constB3, bitIndex2)))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36617,plain,
% 16.02/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB3, bitIndex2) <=> v90(constB3, bitIndex2))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36616, 36615])).
% 16.02/12.08 tff(36618,plain,
% 16.02/12.08 (v88(constB3, bitIndex2) <=> v90(constB3, bitIndex2)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36617, 579, 576])).
% 16.02/12.08 tff(36619,plain,
% 16.02/12.08 ((~(v88(constB3, bitIndex2) <=> v90(constB3, bitIndex2))) | (~v88(constB3, bitIndex2)) | v90(constB3, bitIndex2)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36620,plain,
% 16.02/12.08 (~v88(constB3, bitIndex2)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36619, 1491, 36618])).
% 16.02/12.08 tff(36621,plain,
% 16.02/12.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB3, bitIndex0) <=> v90(constB3, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB3, bitIndex0) <=> v90(constB3, bitIndex0)))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36622,plain,
% 16.02/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB3, bitIndex0) <=> v90(constB3, bitIndex0)))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36623,plain,
% 16.02/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB3, bitIndex0) <=> v90(constB3, bitIndex0))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36622, 36621])).
% 16.02/12.08 tff(36624,plain,
% 16.02/12.08 (v88(constB3, bitIndex0) <=> v90(constB3, bitIndex0)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36623, 1275, 576])).
% 16.02/12.08 tff(36625,plain,
% 16.02/12.08 ((~(v88(constB3, bitIndex0) <=> v90(constB3, bitIndex0))) | v88(constB3, bitIndex0) | (~v90(constB3, bitIndex0))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36626,plain,
% 16.02/12.08 (v88(constB3, bitIndex0)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36625, 1525, 36624])).
% 16.02/12.08 tff(36627,plain,
% 16.02/12.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB3, bitIndex1) <=> v90(constB3, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB3, bitIndex1) <=> v90(constB3, bitIndex1)))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36628,plain,
% 16.02/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB3, bitIndex1) <=> v90(constB3, bitIndex1)))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36629,plain,
% 16.02/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB3, bitIndex1) <=> v90(constB3, bitIndex1))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36628, 36627])).
% 16.02/12.08 tff(36630,plain,
% 16.02/12.08 (v88(constB3, bitIndex1) <=> v90(constB3, bitIndex1)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36629, 1288, 576])).
% 16.02/12.08 tff(36631,plain,
% 16.02/12.08 ((~(v88(constB3, bitIndex1) <=> v90(constB3, bitIndex1))) | (~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36632,plain,
% 16.02/12.08 (~v88(constB3, bitIndex1)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36631, 1559, 36630])).
% 16.02/12.08 tff(36633,plain,
% 16.02/12.08 ((~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))) | v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36634,plain,
% 16.02/12.08 (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36633, 36632, 36626, 36620])).
% 16.02/12.08 tff(36635,plain,
% 16.02/12.08 ((~(v140(constB3) <=> (~(v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))))) | v140(constB3) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36636,plain,
% 16.02/12.08 (v140(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36635, 36634, 36614])).
% 16.02/12.08 tff(36637,plain,
% 16.02/12.08 ((v139(constB3) | v140(constB3)) | (~v140(constB3))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36638,plain,
% 16.02/12.08 (v139(constB3) | v140(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36637, 36636])).
% 16.02/12.08 tff(36639,plain,
% 16.02/12.08 ((~(v168(constB3) <=> (v139(constB3) | v140(constB3)))) | v168(constB3) | (~(v139(constB3) | v140(constB3)))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36640,plain,
% 16.02/12.08 (v168(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36639, 36638, 36607])).
% 16.02/12.08 tff(36641,plain,
% 16.02/12.08 ((v141(constB3) | v168(constB3)) | (~v168(constB3))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36642,plain,
% 16.02/12.08 (v141(constB3) | v168(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36641, 36640])).
% 16.02/12.08 tff(36643,plain,
% 16.02/12.08 ((~(v167(constB3) <=> (v141(constB3) | v168(constB3)))) | v167(constB3) | (~(v141(constB3) | v168(constB3)))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36644,plain,
% 16.02/12.08 (v167(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36643, 36642, 36605])).
% 16.02/12.08 tff(36645,plain,
% 16.02/12.08 ((v142(constB3) | v167(constB3)) | (~v167(constB3))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36646,plain,
% 16.02/12.08 (v142(constB3) | v167(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36645, 36644])).
% 16.02/12.08 tff(36647,plain,
% 16.02/12.08 ((~(v166(constB3) <=> (v142(constB3) | v167(constB3)))) | v166(constB3) | (~(v142(constB3) | v167(constB3)))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36648,plain,
% 16.02/12.08 ((~(v166(constB3) <=> (v142(constB3) | v167(constB3)))) | v166(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36647, 36646])).
% 16.02/12.08 tff(36649,plain,
% 16.02/12.08 (v166(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36648, 36603])).
% 16.02/12.08 tff(36650,plain,
% 16.02/12.08 ((v145(constB3) | v166(constB3)) | (~v166(constB3))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36651,plain,
% 16.02/12.08 (v145(constB3) | v166(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36650, 36649])).
% 16.02/12.08 tff(36652,plain,
% 16.02/12.08 ((~(v165(constB3) <=> (v145(constB3) | v166(constB3)))) | v165(constB3) | (~(v145(constB3) | v166(constB3)))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36653,plain,
% 16.02/12.08 (v165(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36652, 36651, 36601])).
% 16.02/12.08 tff(36654,plain,
% 16.02/12.08 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB3)) | (v162(constB3) <=> v169(constB3)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB3)) | (v162(constB3) <=> v169(constB3)))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36655,plain,
% 16.02/12.08 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB3)) | (v162(constB3) <=> v169(constB3)))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36656,plain,
% 16.02/12.08 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB3)) | (v162(constB3) <=> v169(constB3))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36655, 36654])).
% 16.02/12.08 tff(36657,plain,
% 16.02/12.08 (v162(constB3) <=> v169(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36656, 2426, 36653])).
% 16.02/12.08 tff(36658,plain,
% 16.02/12.08 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB3) <=> (v139(constB3) | v140(constB3)))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36659,plain,
% 16.02/12.08 (v170(constB3) <=> (v139(constB3) | v140(constB3))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36658, 2216])).
% 16.02/12.08 tff(36660,plain,
% 16.02/12.08 ((~(v170(constB3) <=> (v139(constB3) | v140(constB3)))) | v170(constB3) | (~(v139(constB3) | v140(constB3)))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36661,plain,
% 16.02/12.08 (v170(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36660, 36638, 36659])).
% 16.02/12.08 tff(36662,plain,
% 16.02/12.08 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB3)) | (~v169(constB3)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB3)) | (~v169(constB3)))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36663,plain,
% 16.02/12.08 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB3)) | (~v169(constB3)))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36664,plain,
% 16.02/12.08 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB3)) | (~v169(constB3))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36663, 36662])).
% 16.02/12.08 tff(36665,plain,
% 16.02/12.08 (~v169(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36664, 18673, 36661])).
% 16.02/12.08 tff(36666,plain,
% 16.02/12.08 ((~(v162(constB3) <=> v169(constB3))) | (~v162(constB3)) | v169(constB3)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36667,plain,
% 16.02/12.08 ((~(v162(constB3) <=> v169(constB3))) | (~v162(constB3))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36666, 36665])).
% 16.02/12.08 tff(36668,plain,
% 16.02/12.08 (~v162(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36667, 36657])).
% 16.02/12.08 tff(36669,plain,
% 16.02/12.08 ((~(v160(constB3) <=> v162(constB3))) | (~v160(constB3)) | v162(constB3)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36670,plain,
% 16.02/12.08 ((~(v160(constB3) <=> v162(constB3))) | (~v160(constB3))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36669, 36668])).
% 16.02/12.08 tff(36671,plain,
% 16.02/12.08 (~v160(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36670, 36599])).
% 16.02/12.08 tff(36672,plain,
% 16.02/12.08 (((~v184(constB3)) | (~v160(constB3))) | v160(constB3)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36673,plain,
% 16.02/12.08 ((~v184(constB3)) | (~v160(constB3))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36672, 36671])).
% 16.02/12.08 tff(36674,plain,
% 16.02/12.08 ((~(v187(constB3) <=> (~((~v184(constB3)) | (~v160(constB3)))))) | (~v187(constB3)) | (~((~v184(constB3)) | (~v160(constB3))))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36675,plain,
% 16.02/12.08 (~v187(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36674, 36673, 36597])).
% 16.02/12.08 tff(36676,plain,
% 16.02/12.08 (((~v186(constB3)) | (~v187(constB3))) | v187(constB3)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36677,plain,
% 16.02/12.08 ((~v186(constB3)) | (~v187(constB3))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36676, 36675])).
% 16.02/12.08 tff(36678,plain,
% 16.02/12.08 ((~(v185(constB3) <=> (~((~v186(constB3)) | (~v187(constB3)))))) | (~v185(constB3)) | (~((~v186(constB3)) | (~v187(constB3))))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36679,plain,
% 16.02/12.08 (~v185(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36678, 36677, 36595])).
% 16.02/12.08 tff(36680,plain,
% 16.02/12.08 ((~(v181(constB3) | v185(constB3))) | v181(constB3) | v185(constB3)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36681,plain,
% 16.02/12.08 (~(v181(constB3) | v185(constB3))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36680, 36679, 36593])).
% 16.02/12.08 tff(36682,plain,
% 16.02/12.08 ((~(v178(constB3) <=> (v181(constB3) | v185(constB3)))) | (~v178(constB3)) | (v181(constB3) | v185(constB3))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36683,plain,
% 16.02/12.08 (~v178(constB3)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36682, 36681, 36520])).
% 16.02/12.08 tff(36684,plain,
% 16.02/12.08 ((~(v180(constB4) <=> v178(constB3))) | (~v180(constB4)) | v178(constB3)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36685,plain,
% 16.02/12.08 (~v180(constB4)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36684, 36683, 36518])).
% 16.02/12.08 tff(36686,plain,
% 16.02/12.08 ((~(v158(constB4) <=> v180(constB4))) | (~v158(constB4)) | v180(constB4)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36687,plain,
% 16.02/12.08 (~v158(constB4)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36686, 36685, 36514])).
% 16.02/12.08 tff(36688,plain,
% 16.02/12.08 (((~v158(constB4)) | (~v182(constB4))) | v158(constB4)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36689,plain,
% 16.02/12.08 ((~v158(constB4)) | (~v182(constB4))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36688, 36687])).
% 16.02/12.08 tff(36690,plain,
% 16.02/12.08 ((~(v181(constB4) <=> (~((~v158(constB4)) | (~v182(constB4)))))) | (~v181(constB4)) | (~((~v158(constB4)) | (~v182(constB4))))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36691,plain,
% 16.02/12.08 (~v181(constB4)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36690, 36689, 36512])).
% 16.02/12.08 tff(36692,plain,
% 16.02/12.08 ((~(v181(constB4) | v185(constB4))) | v181(constB4) | v185(constB4)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36693,plain,
% 16.02/12.08 (~(v181(constB4) | v185(constB4))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36692, 36691, 36505])).
% 16.02/12.08 tff(36694,plain,
% 16.02/12.08 ((~(v178(constB4) <=> (v181(constB4) | v185(constB4)))) | (~v178(constB4)) | (v181(constB4) | v185(constB4))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36695,plain,
% 16.02/12.08 (~v178(constB4)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36694, 36693, 36480])).
% 16.02/12.08 tff(36696,plain,
% 16.02/12.08 ((~(v180(constB5) <=> v178(constB4))) | (~v180(constB5)) | v178(constB4)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36697,plain,
% 16.02/12.08 (~v180(constB5)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36696, 36695, 36478])).
% 16.02/12.08 tff(36698,plain,
% 16.02/12.08 ((~(v158(constB5) <=> v180(constB5))) | (~v158(constB5)) | v180(constB5)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36699,plain,
% 16.02/12.08 (~v158(constB5)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36698, 36697, 36474])).
% 16.02/12.08 tff(36700,plain,
% 16.02/12.08 (((~v158(constB5)) | (~v206(constB5))) | v158(constB5)),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36701,plain,
% 16.02/12.08 ((~v158(constB5)) | (~v206(constB5))),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36700, 36699])).
% 16.02/12.08 tff(36702,plain,
% 16.02/12.08 ((~(v205(constB5) <=> (~((~v158(constB5)) | (~v206(constB5)))))) | (~v205(constB5)) | (~((~v158(constB5)) | (~v206(constB5))))),
% 16.02/12.08 inference(tautology,[status(thm)],[])).
% 16.02/12.08 tff(36703,plain,
% 16.02/12.08 (~v205(constB5)),
% 16.02/12.08 inference(unit_resolution,[status(thm)],[36702, 36701, 36472])).
% 16.02/12.08 tff(36704,plain,
% 16.02/12.08 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5))))))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36705,plain,
% 16.02/12.08 ((v209(constB5) <=> (~((~v206(constB5)) | (~v191(constB5))))) <=> (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5)))))),
% 16.02/12.08 inference(rewrite,[status(thm)],[])).
% 16.02/12.08 tff(36706,plain,
% 16.02/12.08 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v206(constB5)) | (~v191(constB5)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5))))))),
% 16.02/12.08 inference(monotonicity,[status(thm)],[36705])).
% 16.02/12.08 tff(36707,plain,
% 16.02/12.08 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v206(constB5)) | (~v191(constB5)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5))))))),
% 16.02/12.08 inference(transitivity,[status(thm)],[36706, 36704])).
% 16.02/12.08 tff(36708,plain,
% 16.02/12.08 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v206(constB5)) | (~v191(constB5)))))),
% 16.02/12.08 inference(quant_inst,[status(thm)],[])).
% 16.02/12.08 tff(36709,plain,
% 16.02/12.08 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5)))))),
% 16.02/12.08 inference(modus_ponens,[status(thm)],[36708, 36707])).
% 16.02/12.08 tff(36710,plain,
% 16.02/12.08 (v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36709, 47])).
% 16.02/12.09 tff(36711,plain,
% 16.02/12.09 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB5) <=> v196(constB5))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36712,plain,
% 16.02/12.09 (v191(constB5) <=> v196(constB5)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36711, 64])).
% 16.02/12.09 tff(36713,plain,
% 16.02/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB4, constB5)) | (v196(constB5) <=> v194(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB4, constB5)) | (v196(constB5) <=> v194(constB4)))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36714,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB4, constB5)) | (v196(constB5) <=> v194(constB4)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36715,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB4, constB5)) | (v196(constB5) <=> v194(constB4))),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36714, 36713])).
% 16.02/12.09 tff(36716,plain,
% 16.02/12.09 (v196(constB5) <=> v194(constB4)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36715, 1025, 76])).
% 16.02/12.09 tff(36717,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB4) <=> (v197(constB4) | v198(constB4)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36718,plain,
% 16.02/12.09 (v194(constB4) <=> (v197(constB4) | v198(constB4))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36717, 90])).
% 16.02/12.09 tff(36719,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB4) <=> (~((~v158(constB4)) | (~v199(constB4)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36720,plain,
% 16.02/12.09 (v198(constB4) <=> (~((~v158(constB4)) | (~v199(constB4))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36719, 102])).
% 16.02/12.09 tff(36721,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB4) <=> (~((~v186(constB4)) | (~v200(constB4)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36722,plain,
% 16.02/12.09 (v199(constB4) <=> (~((~v186(constB4)) | (~v200(constB4))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36721, 114])).
% 16.02/12.09 tff(36723,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB4) <=> (~((~v184(constB4)) | (~v84(constB4)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36724,plain,
% 16.02/12.09 (v200(constB4) <=> (~((~v184(constB4)) | (~v84(constB4))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36723, 126])).
% 16.02/12.09 tff(36725,plain,
% 16.02/12.09 (((~v184(constB4)) | (~v84(constB4))) | v184(constB4)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36726,plain,
% 16.02/12.09 ((~v184(constB4)) | (~v84(constB4))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36725, 36496])).
% 16.02/12.09 tff(36727,plain,
% 16.02/12.09 ((~(v200(constB4) <=> (~((~v184(constB4)) | (~v84(constB4)))))) | (~v200(constB4)) | (~((~v184(constB4)) | (~v84(constB4))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36728,plain,
% 16.02/12.09 ((~(v200(constB4) <=> (~((~v184(constB4)) | (~v84(constB4)))))) | (~v200(constB4))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36727, 36726])).
% 16.02/12.09 tff(36729,plain,
% 16.02/12.09 (~v200(constB4)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36728, 36724])).
% 16.02/12.09 tff(36730,plain,
% 16.02/12.09 (((~v186(constB4)) | (~v200(constB4))) | v200(constB4)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36731,plain,
% 16.02/12.09 ((~v186(constB4)) | (~v200(constB4))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36730, 36729])).
% 16.02/12.09 tff(36732,plain,
% 16.02/12.09 ((~(v199(constB4) <=> (~((~v186(constB4)) | (~v200(constB4)))))) | (~v199(constB4)) | (~((~v186(constB4)) | (~v200(constB4))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36733,plain,
% 16.02/12.09 (~v199(constB4)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36732, 36731, 36722])).
% 16.02/12.09 tff(36734,plain,
% 16.02/12.09 (((~v158(constB4)) | (~v199(constB4))) | v199(constB4)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36735,plain,
% 16.02/12.09 ((~v158(constB4)) | (~v199(constB4))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36734, 36733])).
% 16.02/12.09 tff(36736,plain,
% 16.02/12.09 ((~(v198(constB4) <=> (~((~v158(constB4)) | (~v199(constB4)))))) | (~v198(constB4)) | (~((~v158(constB4)) | (~v199(constB4))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36737,plain,
% 16.02/12.09 (~v198(constB4)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36736, 36735, 36720])).
% 16.02/12.09 tff(36738,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB4) <=> (~((~v182(constB4)) | (~v191(constB4)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36739,plain,
% 16.02/12.09 (v197(constB4) <=> (~((~v182(constB4)) | (~v191(constB4))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36738, 183])).
% 16.02/12.09 tff(36740,plain,
% 16.02/12.09 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB4) <=> v196(constB4))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36741,plain,
% 16.02/12.09 (v191(constB4) <=> v196(constB4)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36740, 64])).
% 16.02/12.09 tff(36742,plain,
% 16.02/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB3, constB4)) | (v196(constB4) <=> v194(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB3, constB4)) | (v196(constB4) <=> v194(constB3)))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36743,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB3, constB4)) | (v196(constB4) <=> v194(constB3)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36744,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB3, constB4)) | (v196(constB4) <=> v194(constB3))),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36743, 36742])).
% 16.02/12.09 tff(36745,plain,
% 16.02/12.09 (v196(constB4) <=> v194(constB3)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36744, 1057, 76])).
% 16.02/12.09 tff(36746,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB3) <=> (v197(constB3) | v198(constB3)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36747,plain,
% 16.02/12.09 (v194(constB3) <=> (v197(constB3) | v198(constB3))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36746, 90])).
% 16.02/12.09 tff(36748,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB3) <=> (~((~v182(constB3)) | (~v191(constB3)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36749,plain,
% 16.02/12.09 (v197(constB3) <=> (~((~v182(constB3)) | (~v191(constB3))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36748, 183])).
% 16.02/12.09 tff(36750,plain,
% 16.02/12.09 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB3) <=> v196(constB3))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36751,plain,
% 16.02/12.09 (v191(constB3) <=> v196(constB3)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36750, 64])).
% 16.02/12.09 tff(36752,plain,
% 16.02/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB2, constB3)) | (v196(constB3) <=> v194(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB2, constB3)) | (v196(constB3) <=> v194(constB2)))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36753,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB2, constB3)) | (v196(constB3) <=> v194(constB2)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36754,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB2, constB3)) | (v196(constB3) <=> v194(constB2))),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36753, 36752])).
% 16.02/12.09 tff(36755,plain,
% 16.02/12.09 (v196(constB3) <=> v194(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36754, 1142, 76])).
% 16.02/12.09 tff(36756,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB2) <=> (v197(constB2) | v198(constB2)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36757,plain,
% 16.02/12.09 (v194(constB2) <=> (v197(constB2) | v198(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36756, 90])).
% 16.02/12.09 tff(36758,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB2) <=> (~((~v158(constB2)) | (~v199(constB2)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36759,plain,
% 16.02/12.09 (v198(constB2) <=> (~((~v158(constB2)) | (~v199(constB2))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36758, 102])).
% 16.02/12.09 tff(36760,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB2) <=> (~((~v186(constB2)) | (~v200(constB2)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36761,plain,
% 16.02/12.09 (v199(constB2) <=> (~((~v186(constB2)) | (~v200(constB2))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36760, 114])).
% 16.02/12.09 tff(36762,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB2) <=> (~((~v184(constB2)) | (~v84(constB2)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36763,plain,
% 16.02/12.09 (v200(constB2) <=> (~((~v184(constB2)) | (~v84(constB2))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36762, 126])).
% 16.02/12.09 tff(36764,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36765,plain,
% 16.02/12.09 (v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36764, 138])).
% 16.02/12.09 tff(36766,plain,
% 16.02/12.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36767,plain,
% 16.02/12.09 ((~v39(constB2)) <=> v1(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36766, 147])).
% 16.02/12.09 tff(36768,plain,
% 16.02/12.09 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36769,plain,
% 16.02/12.09 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36768, 1204])).
% 16.02/12.09 tff(36770,plain,
% 16.02/12.09 (~v39(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36769, 36767])).
% 16.02/12.09 tff(36771,plain,
% 16.02/12.09 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36772,plain,
% 16.02/12.09 ((~v39(constB2)) | (~v9(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36771, 36770])).
% 16.02/12.09 tff(36773,plain,
% 16.02/12.09 ((~(v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v184(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36774,plain,
% 16.02/12.09 ((~(v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v184(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36773, 36772])).
% 16.02/12.09 tff(36775,plain,
% 16.02/12.09 (~v184(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36774, 36765])).
% 16.02/12.09 tff(36776,plain,
% 16.02/12.09 (((~v184(constB2)) | (~v84(constB2))) | v184(constB2)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36777,plain,
% 16.02/12.09 ((~v184(constB2)) | (~v84(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36776, 36775])).
% 16.02/12.09 tff(36778,plain,
% 16.02/12.09 ((~(v200(constB2) <=> (~((~v184(constB2)) | (~v84(constB2)))))) | (~v200(constB2)) | (~((~v184(constB2)) | (~v84(constB2))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36779,plain,
% 16.02/12.09 ((~(v200(constB2) <=> (~((~v184(constB2)) | (~v84(constB2)))))) | (~v200(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36778, 36777])).
% 16.02/12.09 tff(36780,plain,
% 16.02/12.09 (~v200(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36779, 36763])).
% 16.02/12.09 tff(36781,plain,
% 16.02/12.09 (((~v186(constB2)) | (~v200(constB2))) | v200(constB2)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36782,plain,
% 16.02/12.09 ((~v186(constB2)) | (~v200(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36781, 36780])).
% 16.02/12.09 tff(36783,plain,
% 16.02/12.09 ((~(v199(constB2) <=> (~((~v186(constB2)) | (~v200(constB2)))))) | (~v199(constB2)) | (~((~v186(constB2)) | (~v200(constB2))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36784,plain,
% 16.02/12.09 (~v199(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36783, 36782, 36761])).
% 16.02/12.09 tff(36785,plain,
% 16.02/12.09 (((~v158(constB2)) | (~v199(constB2))) | v199(constB2)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36786,plain,
% 16.02/12.09 ((~v158(constB2)) | (~v199(constB2))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36785, 36784])).
% 16.02/12.09 tff(36787,plain,
% 16.02/12.09 ((~(v198(constB2) <=> (~((~v158(constB2)) | (~v199(constB2)))))) | (~v198(constB2)) | (~((~v158(constB2)) | (~v199(constB2))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36788,plain,
% 16.02/12.09 (~v198(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36787, 36786, 36759])).
% 16.02/12.09 tff(36789,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB2) <=> (~((~v182(constB2)) | (~v191(constB2)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36790,plain,
% 16.02/12.09 (v197(constB2) <=> (~((~v182(constB2)) | (~v191(constB2))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36789, 183])).
% 16.02/12.09 tff(36791,plain,
% 16.02/12.09 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB2) <=> v196(constB2))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36792,plain,
% 16.02/12.09 (v191(constB2) <=> v196(constB2)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36791, 64])).
% 16.02/12.09 tff(36793,plain,
% 16.02/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB1, constB2)) | (v196(constB2) <=> v194(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB1, constB2)) | (v196(constB2) <=> v194(constB1)))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36794,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB1, constB2)) | (v196(constB2) <=> v194(constB1)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36795,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB1, constB2)) | (v196(constB2) <=> v194(constB1))),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36794, 36793])).
% 16.02/12.09 tff(36796,plain,
% 16.02/12.09 (v196(constB2) <=> v194(constB1)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36795, 1174, 76])).
% 16.02/12.09 tff(36797,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB1) <=> (v197(constB1) | v198(constB1)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36798,plain,
% 16.02/12.09 (v194(constB1) <=> (v197(constB1) | v198(constB1))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36797, 90])).
% 16.02/12.09 tff(36799,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB1) <=> (~((~v182(constB1)) | (~v191(constB1)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36800,plain,
% 16.02/12.09 (v197(constB1) <=> (~((~v182(constB1)) | (~v191(constB1))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36799, 183])).
% 16.02/12.09 tff(36801,plain,
% 16.02/12.09 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB1) <=> v196(constB1))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36802,plain,
% 16.02/12.09 (v191(constB1) <=> v196(constB1)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36801, 64])).
% 16.02/12.09 tff(36803,plain,
% 16.02/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB0, constB1)) | (v196(constB1) <=> v194(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB0, constB1)) | (v196(constB1) <=> v194(constB0)))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36804,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB0, constB1)) | (v196(constB1) <=> v194(constB0)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36805,plain,
% 16.02/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB0, constB1)) | (v196(constB1) <=> v194(constB0))),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36804, 36803])).
% 16.02/12.09 tff(36806,plain,
% 16.02/12.09 (v196(constB1) <=> v194(constB0)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36805, 1247, 76])).
% 16.02/12.09 tff(36807,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB0) <=> (v197(constB0) | v198(constB0)))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36808,plain,
% 16.02/12.09 (v194(constB0) <=> (v197(constB0) | v198(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36807, 90])).
% 16.02/12.09 tff(36809,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB0) <=> (~((~v158(constB0)) | (~v199(constB0)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36810,plain,
% 16.02/12.09 (v198(constB0) <=> (~((~v158(constB0)) | (~v199(constB0))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36809, 102])).
% 16.02/12.09 tff(36811,plain,
% 16.02/12.09 ((~v158(constB0)) <=> (~v158(constB0))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36812,axiom,(~v158(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 16.02/12.09 tff(36813,plain,
% 16.02/12.09 (~v158(constB0)),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36812, 36811])).
% 16.02/12.09 tff(36814,plain,
% 16.02/12.09 (((~v158(constB0)) | (~v199(constB0))) | v158(constB0)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36815,plain,
% 16.02/12.09 ((~v158(constB0)) | (~v199(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36814, 36813])).
% 16.02/12.09 tff(36816,plain,
% 16.02/12.09 ((~(v198(constB0) <=> (~((~v158(constB0)) | (~v199(constB0)))))) | (~v198(constB0)) | (~((~v158(constB0)) | (~v199(constB0))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36817,plain,
% 16.02/12.09 ((~(v198(constB0) <=> (~((~v158(constB0)) | (~v199(constB0)))))) | (~v198(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36816, 36815])).
% 16.02/12.09 tff(36818,plain,
% 16.02/12.09 (~v198(constB0)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36817, 36810])).
% 16.02/12.09 tff(36819,plain,
% 16.02/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB0) <=> (~((~v182(constB0)) | (~v191(constB0)))))),
% 16.02/12.09 inference(quant_inst,[status(thm)],[])).
% 16.02/12.09 tff(36820,plain,
% 16.02/12.09 (v197(constB0) <=> (~((~v182(constB0)) | (~v191(constB0))))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36819, 183])).
% 16.02/12.09 tff(36821,plain,
% 16.02/12.09 ((~v191(constB0)) <=> (~v191(constB0))),
% 16.02/12.09 inference(rewrite,[status(thm)],[])).
% 16.02/12.09 tff(36822,axiom,(~v191(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_8')).
% 16.02/12.09 tff(36823,plain,
% 16.02/12.09 (~v191(constB0)),
% 16.02/12.09 inference(modus_ponens,[status(thm)],[36822, 36821])).
% 16.02/12.09 tff(36824,plain,
% 16.02/12.09 (((~v182(constB0)) | (~v191(constB0))) | v191(constB0)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36825,plain,
% 16.02/12.09 ((~v182(constB0)) | (~v191(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36824, 36823])).
% 16.02/12.09 tff(36826,plain,
% 16.02/12.09 ((~(v197(constB0) <=> (~((~v182(constB0)) | (~v191(constB0)))))) | (~v197(constB0)) | (~((~v182(constB0)) | (~v191(constB0))))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36827,plain,
% 16.02/12.09 ((~(v197(constB0) <=> (~((~v182(constB0)) | (~v191(constB0)))))) | (~v197(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36826, 36825])).
% 16.02/12.09 tff(36828,plain,
% 16.02/12.09 (~v197(constB0)),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36827, 36820])).
% 16.02/12.09 tff(36829,plain,
% 16.02/12.09 ((~(v197(constB0) | v198(constB0))) | v197(constB0) | v198(constB0)),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36830,plain,
% 16.02/12.09 (~(v197(constB0) | v198(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36829, 36828, 36818])).
% 16.02/12.09 tff(36831,plain,
% 16.02/12.09 ((~(v194(constB0) <=> (v197(constB0) | v198(constB0)))) | (~v194(constB0)) | (v197(constB0) | v198(constB0))),
% 16.02/12.09 inference(tautology,[status(thm)],[])).
% 16.02/12.09 tff(36832,plain,
% 16.02/12.09 ((~(v194(constB0) <=> (v197(constB0) | v198(constB0)))) | (~v194(constB0))),
% 16.02/12.09 inference(unit_resolution,[status(thm)],[36831, 36830])).
% 16.02/12.10 tff(36833,plain,
% 16.02/12.10 (~v194(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36832, 36808])).
% 16.02/12.10 tff(36834,plain,
% 16.02/12.10 ((~(v196(constB1) <=> v194(constB0))) | (~v196(constB1)) | v194(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36835,plain,
% 16.02/12.10 (~v196(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36834, 36833, 36806])).
% 16.02/12.10 tff(36836,plain,
% 16.02/12.10 ((~(v191(constB1) <=> v196(constB1))) | (~v191(constB1)) | v196(constB1)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36837,plain,
% 16.02/12.10 (~v191(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36836, 36835, 36802])).
% 16.02/12.10 tff(36838,plain,
% 16.02/12.10 (((~v182(constB1)) | (~v191(constB1))) | v191(constB1)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36839,plain,
% 16.02/12.10 ((~v182(constB1)) | (~v191(constB1))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36838, 36837])).
% 16.02/12.10 tff(36840,plain,
% 16.02/12.10 ((~(v197(constB1) <=> (~((~v182(constB1)) | (~v191(constB1)))))) | (~v197(constB1)) | (~((~v182(constB1)) | (~v191(constB1))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36841,plain,
% 16.02/12.10 ((~(v197(constB1) <=> (~((~v182(constB1)) | (~v191(constB1)))))) | (~v197(constB1))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36840, 36839])).
% 16.02/12.10 tff(36842,plain,
% 16.02/12.10 (~v197(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36841, 36800])).
% 16.02/12.10 tff(36843,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB1) <=> (~((~v158(constB1)) | (~v199(constB1)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36844,plain,
% 16.02/12.10 (v198(constB1) <=> (~((~v158(constB1)) | (~v199(constB1))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36843, 102])).
% 16.02/12.10 tff(36845,plain,
% 16.02/12.10 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB1) <=> v180(constB1))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36846,plain,
% 16.02/12.10 (v158(constB1) <=> v180(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36845, 358])).
% 16.02/12.10 tff(36847,plain,
% 16.02/12.10 (((~![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)))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36848,plain,
% 16.02/12.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36849,plain,
% 16.02/12.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0))),
% 16.02/12.10 inference(modus_ponens,[status(thm)],[36848, 36847])).
% 16.02/12.10 tff(36850,plain,
% 16.02/12.10 (v180(constB1) <=> v178(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36849, 1247, 370])).
% 16.02/12.10 tff(36851,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB0) <=> (v181(constB0) | v185(constB0)))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36852,plain,
% 16.02/12.10 (v178(constB0) <=> (v181(constB0) | v185(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36851, 384])).
% 16.02/12.10 tff(36853,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36854,plain,
% 16.02/12.10 (v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36853, 396])).
% 16.02/12.10 tff(36855,plain,
% 16.02/12.10 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0))))))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36856,plain,
% 16.02/12.10 ((v187(constB0) <=> (~((~v184(constB0)) | (~v160(constB0))))) <=> (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0)))))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36857,plain,
% 16.02/12.10 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v160(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0))))))),
% 16.02/12.10 inference(monotonicity,[status(thm)],[36856])).
% 16.02/12.10 tff(36858,plain,
% 16.02/12.10 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v160(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0))))))),
% 16.02/12.10 inference(transitivity,[status(thm)],[36857, 36855])).
% 16.02/12.10 tff(36859,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v160(constB0)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36860,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0)))))),
% 16.02/12.10 inference(modus_ponens,[status(thm)],[36859, 36858])).
% 16.02/12.10 tff(36861,plain,
% 16.02/12.10 (v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36860, 408])).
% 16.02/12.10 tff(36862,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB0) <=> v162(constB0))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36863,plain,
% 16.02/12.10 (v160(constB0) <=> v162(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36862, 549])).
% 16.02/12.10 tff(36864,plain,
% 16.02/12.10 ((~v162(constB0)) <=> (~v162(constB0))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36865,axiom,(~v162(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6')).
% 16.02/12.10 tff(36866,plain,
% 16.02/12.10 (~v162(constB0)),
% 16.02/12.10 inference(modus_ponens,[status(thm)],[36865, 36864])).
% 16.02/12.10 tff(36867,plain,
% 16.02/12.10 ((~(v160(constB0) <=> v162(constB0))) | (~v160(constB0)) | v162(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36868,plain,
% 16.02/12.10 ((~(v160(constB0) <=> v162(constB0))) | (~v160(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36867, 36866])).
% 16.02/12.10 tff(36869,plain,
% 16.02/12.10 (~v160(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36868, 36863])).
% 16.02/12.10 tff(36870,plain,
% 16.02/12.10 (((~v160(constB0)) | (~v184(constB0))) | v160(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36871,plain,
% 16.02/12.10 ((~v160(constB0)) | (~v184(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36870, 36869])).
% 16.02/12.10 tff(36872,plain,
% 16.02/12.10 ((~(v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0)))))) | (~v187(constB0)) | (~((~v160(constB0)) | (~v184(constB0))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36873,plain,
% 16.02/12.10 ((~(v187(constB0) <=> (~((~v160(constB0)) | (~v184(constB0)))))) | (~v187(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36872, 36871])).
% 16.02/12.10 tff(36874,plain,
% 16.02/12.10 (~v187(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36873, 36861])).
% 16.02/12.10 tff(36875,plain,
% 16.02/12.10 (((~v186(constB0)) | (~v187(constB0))) | v187(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36876,plain,
% 16.02/12.10 ((~v186(constB0)) | (~v187(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36875, 36874])).
% 16.02/12.10 tff(36877,plain,
% 16.02/12.10 ((~(v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))) | (~v185(constB0)) | (~((~v186(constB0)) | (~v187(constB0))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36878,plain,
% 16.02/12.10 ((~(v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))) | (~v185(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36877, 36876])).
% 16.02/12.10 tff(36879,plain,
% 16.02/12.10 (~v185(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36878, 36854])).
% 16.02/12.10 tff(36880,plain,
% 16.02/12.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0))))))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36881,plain,
% 16.02/12.10 ((v181(constB0) <=> (~((~v182(constB0)) | (~v158(constB0))))) <=> (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0)))))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36882,plain,
% 16.02/12.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v158(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0))))))),
% 16.02/12.10 inference(monotonicity,[status(thm)],[36881])).
% 16.02/12.10 tff(36883,plain,
% 16.02/12.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v158(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0))))))),
% 16.02/12.10 inference(transitivity,[status(thm)],[36882, 36880])).
% 16.02/12.10 tff(36884,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v158(constB0)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36885,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0)))))),
% 16.02/12.10 inference(modus_ponens,[status(thm)],[36884, 36883])).
% 16.02/12.10 tff(36886,plain,
% 16.02/12.10 (v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36885, 444])).
% 16.02/12.10 tff(36887,plain,
% 16.02/12.10 (((~v158(constB0)) | (~v182(constB0))) | v158(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36888,plain,
% 16.02/12.10 ((~v158(constB0)) | (~v182(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36887, 36813])).
% 16.02/12.10 tff(36889,plain,
% 16.02/12.10 ((~(v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0)))))) | (~v181(constB0)) | (~((~v158(constB0)) | (~v182(constB0))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36890,plain,
% 16.02/12.10 ((~(v181(constB0) <=> (~((~v158(constB0)) | (~v182(constB0)))))) | (~v181(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36889, 36888])).
% 16.02/12.10 tff(36891,plain,
% 16.02/12.10 (~v181(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36890, 36886])).
% 16.02/12.10 tff(36892,plain,
% 16.02/12.10 ((~(v181(constB0) | v185(constB0))) | v181(constB0) | v185(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36893,plain,
% 16.02/12.10 ((~(v181(constB0) | v185(constB0))) | v185(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36892, 36891])).
% 16.02/12.10 tff(36894,plain,
% 16.02/12.10 (~(v181(constB0) | v185(constB0))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36893, 36879])).
% 16.02/12.10 tff(36895,plain,
% 16.02/12.10 ((~(v178(constB0) <=> (v181(constB0) | v185(constB0)))) | (~v178(constB0)) | (v181(constB0) | v185(constB0))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36896,plain,
% 16.02/12.10 (~v178(constB0)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36895, 36894, 36852])).
% 16.02/12.10 tff(36897,plain,
% 16.02/12.10 ((~(v180(constB1) <=> v178(constB0))) | (~v180(constB1)) | v178(constB0)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36898,plain,
% 16.02/12.10 (~v180(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36897, 36896, 36850])).
% 16.02/12.10 tff(36899,plain,
% 16.02/12.10 ((~(v158(constB1) <=> v180(constB1))) | (~v158(constB1)) | v180(constB1)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36900,plain,
% 16.02/12.10 (~v158(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36899, 36898, 36846])).
% 16.02/12.10 tff(36901,plain,
% 16.02/12.10 (((~v158(constB1)) | (~v199(constB1))) | v158(constB1)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36902,plain,
% 16.02/12.10 ((~v158(constB1)) | (~v199(constB1))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36901, 36900])).
% 16.02/12.10 tff(36903,plain,
% 16.02/12.10 ((~(v198(constB1) <=> (~((~v158(constB1)) | (~v199(constB1)))))) | (~v198(constB1)) | (~((~v158(constB1)) | (~v199(constB1))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36904,plain,
% 16.02/12.10 (~v198(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36903, 36902, 36844])).
% 16.02/12.10 tff(36905,plain,
% 16.02/12.10 ((~(v197(constB1) | v198(constB1))) | v197(constB1) | v198(constB1)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36906,plain,
% 16.02/12.10 (~(v197(constB1) | v198(constB1))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36905, 36904, 36842])).
% 16.02/12.10 tff(36907,plain,
% 16.02/12.10 ((~(v194(constB1) <=> (v197(constB1) | v198(constB1)))) | (~v194(constB1)) | (v197(constB1) | v198(constB1))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36908,plain,
% 16.02/12.10 (~v194(constB1)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36907, 36906, 36798])).
% 16.02/12.10 tff(36909,plain,
% 16.02/12.10 ((~(v196(constB2) <=> v194(constB1))) | (~v196(constB2)) | v194(constB1)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36910,plain,
% 16.02/12.10 (~v196(constB2)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36909, 36908, 36796])).
% 16.02/12.10 tff(36911,plain,
% 16.02/12.10 ((~(v191(constB2) <=> v196(constB2))) | (~v191(constB2)) | v196(constB2)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36912,plain,
% 16.02/12.10 (~v191(constB2)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36911, 36910, 36792])).
% 16.02/12.10 tff(36913,plain,
% 16.02/12.10 (((~v182(constB2)) | (~v191(constB2))) | v191(constB2)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36914,plain,
% 16.02/12.10 ((~v182(constB2)) | (~v191(constB2))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36913, 36912])).
% 16.02/12.10 tff(36915,plain,
% 16.02/12.10 ((~(v197(constB2) <=> (~((~v182(constB2)) | (~v191(constB2)))))) | (~v197(constB2)) | (~((~v182(constB2)) | (~v191(constB2))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36916,plain,
% 16.02/12.10 (~v197(constB2)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36915, 36914, 36790])).
% 16.02/12.10 tff(36917,plain,
% 16.02/12.10 ((~(v197(constB2) | v198(constB2))) | v197(constB2) | v198(constB2)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36918,plain,
% 16.02/12.10 (~(v197(constB2) | v198(constB2))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36917, 36916, 36788])).
% 16.02/12.10 tff(36919,plain,
% 16.02/12.10 ((~(v194(constB2) <=> (v197(constB2) | v198(constB2)))) | (~v194(constB2)) | (v197(constB2) | v198(constB2))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36920,plain,
% 16.02/12.10 (~v194(constB2)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36919, 36918, 36757])).
% 16.02/12.10 tff(36921,plain,
% 16.02/12.10 ((~(v196(constB3) <=> v194(constB2))) | (~v196(constB3)) | v194(constB2)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36922,plain,
% 16.02/12.10 (~v196(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36921, 36920, 36755])).
% 16.02/12.10 tff(36923,plain,
% 16.02/12.10 ((~(v191(constB3) <=> v196(constB3))) | (~v191(constB3)) | v196(constB3)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36924,plain,
% 16.02/12.10 (~v191(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36923, 36922, 36751])).
% 16.02/12.10 tff(36925,plain,
% 16.02/12.10 (((~v182(constB3)) | (~v191(constB3))) | v191(constB3)),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36926,plain,
% 16.02/12.10 ((~v182(constB3)) | (~v191(constB3))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36925, 36924])).
% 16.02/12.10 tff(36927,plain,
% 16.02/12.10 ((~(v197(constB3) <=> (~((~v182(constB3)) | (~v191(constB3)))))) | (~v197(constB3)) | (~((~v182(constB3)) | (~v191(constB3))))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36928,plain,
% 16.02/12.10 (~v197(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36927, 36926, 36749])).
% 16.02/12.10 tff(36929,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB3) <=> (~((~v158(constB3)) | (~v199(constB3)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36930,plain,
% 16.02/12.10 (v198(constB3) <=> (~((~v158(constB3)) | (~v199(constB3))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36929, 102])).
% 16.02/12.10 tff(36931,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB3) <=> (~((~v186(constB3)) | (~v200(constB3)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36932,plain,
% 16.02/12.10 (v199(constB3) <=> (~((~v186(constB3)) | (~v200(constB3))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36931, 114])).
% 16.02/12.10 tff(36933,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB3) <=> (~((~v184(constB3)) | (~v84(constB3)))))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36934,plain,
% 16.02/12.10 (v200(constB3) <=> (~((~v184(constB3)) | (~v84(constB3))))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36933, 126])).
% 16.02/12.10 tff(36935,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB3) <=> v86(constB3))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36936,plain,
% 16.02/12.10 (v84(constB3) <=> v86(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36935, 16262])).
% 16.02/12.10 tff(36937,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB3) <=> (v136(constB3) | v145(constB3)))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36938,plain,
% 16.02/12.10 (v135(constB3) <=> (v136(constB3) | v145(constB3))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36937, 16271])).
% 16.02/12.10 tff(36939,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB3) <=> (v137(constB3) | v142(constB3)))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36940,plain,
% 16.02/12.10 (v136(constB3) <=> (v137(constB3) | v142(constB3))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36939, 17279])).
% 16.02/12.10 tff(36941,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v137(VarCurr) <=> (v138(VarCurr) | v141(VarCurr)))) | (v137(constB3) <=> (v138(constB3) | v141(constB3)))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36942,plain,
% 16.02/12.10 (v137(constB3) <=> (v138(constB3) | v141(constB3))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36941, 17288])).
% 16.02/12.10 tff(36943,plain,
% 16.02/12.10 (^[VarCurr: $i] : refl((v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 16.02/12.10 inference(bind,[status(th)],[])).
% 16.02/12.10 tff(36944,plain,
% 16.02/12.10 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 16.02/12.10 inference(quant_intro,[status(thm)],[36943])).
% 16.02/12.10 tff(36945,plain,
% 16.02/12.10 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 16.02/12.10 inference(rewrite,[status(thm)],[])).
% 16.02/12.10 tff(36946,axiom,(![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_28')).
% 16.02/12.10 tff(36947,plain,
% 16.02/12.10 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 16.02/12.10 inference(modus_ponens,[status(thm)],[36946, 36945])).
% 16.02/12.10 tff(36948,plain,(
% 16.02/12.10 ![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 16.02/12.10 inference(skolemize,[status(sab)],[36947])).
% 16.02/12.10 tff(36949,plain,
% 16.02/12.10 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 16.02/12.10 inference(modus_ponens,[status(thm)],[36948, 36944])).
% 16.02/12.10 tff(36950,plain,
% 16.02/12.10 ((~![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v138(constB3) <=> (v139(constB3) | v140(constB3)))),
% 16.02/12.10 inference(quant_inst,[status(thm)],[])).
% 16.02/12.10 tff(36951,plain,
% 16.02/12.10 (v138(constB3) <=> (v139(constB3) | v140(constB3))),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36950, 36949])).
% 16.02/12.10 tff(36952,plain,
% 16.02/12.10 ((~(v138(constB3) <=> (v139(constB3) | v140(constB3)))) | v138(constB3) | (~(v139(constB3) | v140(constB3)))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36953,plain,
% 16.02/12.10 (v138(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36952, 36638, 36951])).
% 16.02/12.10 tff(36954,plain,
% 16.02/12.10 ((v138(constB3) | v141(constB3)) | (~v138(constB3))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36955,plain,
% 16.02/12.10 (v138(constB3) | v141(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36954, 36953])).
% 16.02/12.10 tff(36956,plain,
% 16.02/12.10 ((~(v137(constB3) <=> (v138(constB3) | v141(constB3)))) | v137(constB3) | (~(v138(constB3) | v141(constB3)))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36957,plain,
% 16.02/12.10 (v137(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36956, 36955, 36942])).
% 16.02/12.10 tff(36958,plain,
% 16.02/12.10 ((v137(constB3) | v142(constB3)) | (~v137(constB3))),
% 16.02/12.10 inference(tautology,[status(thm)],[])).
% 16.02/12.10 tff(36959,plain,
% 16.02/12.10 (v137(constB3) | v142(constB3)),
% 16.02/12.10 inference(unit_resolution,[status(thm)],[36958, 36957])).
% 16.02/12.10 tff(36960,plain,
% 16.02/12.10 ((~(v136(constB3) <=> (v137(constB3) | v142(constB3)))) | v136(constB3) | (~(v137(constB3) | v142(constB3)))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36961,plain,
% 16.02/12.11 ((~(v136(constB3) <=> (v137(constB3) | v142(constB3)))) | v136(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36960, 36959])).
% 16.02/12.11 tff(36962,plain,
% 16.02/12.11 (v136(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36961, 36940])).
% 16.02/12.11 tff(36963,plain,
% 16.02/12.11 ((v136(constB3) | v145(constB3)) | (~v136(constB3))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36964,plain,
% 16.02/12.11 (v136(constB3) | v145(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36963, 36962])).
% 16.02/12.11 tff(36965,plain,
% 16.02/12.11 ((~(v135(constB3) <=> (v136(constB3) | v145(constB3)))) | v135(constB3) | (~(v136(constB3) | v145(constB3)))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36966,plain,
% 16.02/12.11 (v135(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36965, 36964, 36938])).
% 16.02/12.11 tff(36967,plain,
% 16.02/12.11 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB3)) | (v86(constB3) <=> v148(constB3)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB3)) | (v86(constB3) <=> v148(constB3)))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(36968,plain,
% 16.02/12.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB3)) | (v86(constB3) <=> v148(constB3)))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(36969,plain,
% 16.02/12.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB3)) | (v86(constB3) <=> v148(constB3))),
% 16.02/12.11 inference(modus_ponens,[status(thm)],[36968, 36967])).
% 16.02/12.11 tff(36970,plain,
% 16.02/12.11 (v86(constB3) <=> v148(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36969, 16814, 36966])).
% 16.02/12.11 tff(36971,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB3) <=> (v142(constB3) | v151(constB3)))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(36972,plain,
% 16.02/12.11 (v149(constB3) <=> (v142(constB3) | v151(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36971, 16829])).
% 16.02/12.11 tff(36973,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB3) <=> (v141(constB3) | v152(constB3)))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(36974,plain,
% 16.02/12.11 (v151(constB3) <=> (v141(constB3) | v152(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36973, 16864])).
% 16.02/12.11 tff(36975,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB3) <=> (v139(constB3) | v140(constB3)))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(36976,plain,
% 16.02/12.11 (v152(constB3) <=> (v139(constB3) | v140(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36975, 16879])).
% 16.02/12.11 tff(36977,plain,
% 16.02/12.11 ((~(v152(constB3) <=> (v139(constB3) | v140(constB3)))) | v152(constB3) | (~(v139(constB3) | v140(constB3)))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36978,plain,
% 16.02/12.11 (v152(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36977, 36638, 36976])).
% 16.02/12.11 tff(36979,plain,
% 16.02/12.11 ((v141(constB3) | v152(constB3)) | (~v152(constB3))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36980,plain,
% 16.02/12.11 (v141(constB3) | v152(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36979, 36978])).
% 16.02/12.11 tff(36981,plain,
% 16.02/12.11 ((~(v151(constB3) <=> (v141(constB3) | v152(constB3)))) | v151(constB3) | (~(v141(constB3) | v152(constB3)))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36982,plain,
% 16.02/12.11 (v151(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36981, 36980, 36974])).
% 16.02/12.11 tff(36983,plain,
% 16.02/12.11 ((v142(constB3) | v151(constB3)) | (~v151(constB3))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36984,plain,
% 16.02/12.11 (v142(constB3) | v151(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36983, 36982])).
% 16.02/12.11 tff(36985,plain,
% 16.02/12.11 ((~(v149(constB3) <=> (v142(constB3) | v151(constB3)))) | v149(constB3) | (~(v142(constB3) | v151(constB3)))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36986,plain,
% 16.02/12.11 ((~(v149(constB3) <=> (v142(constB3) | v151(constB3)))) | v149(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36985, 36984])).
% 16.02/12.11 tff(36987,plain,
% 16.02/12.11 (v149(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36986, 36972])).
% 16.02/12.11 tff(36988,plain,
% 16.02/12.11 (((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | ((~v149(constB3)) | (~v148(constB3)))) <=> ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | (~v149(constB3)) | (~v148(constB3)))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(36989,plain,
% 16.02/12.11 ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | ((~v149(constB3)) | (~v148(constB3)))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(36990,plain,
% 16.02/12.11 ((~![VarCurr: $i] : ((~v149(VarCurr)) | (~v148(VarCurr)))) | (~v149(constB3)) | (~v148(constB3))),
% 16.02/12.11 inference(modus_ponens,[status(thm)],[36989, 36988])).
% 16.02/12.11 tff(36991,plain,
% 16.02/12.11 (~v148(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36990, 17265, 36987])).
% 16.02/12.11 tff(36992,plain,
% 16.02/12.11 ((~(v86(constB3) <=> v148(constB3))) | (~v86(constB3)) | v148(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36993,plain,
% 16.02/12.11 ((~(v86(constB3) <=> v148(constB3))) | (~v86(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36992, 36991])).
% 16.02/12.11 tff(36994,plain,
% 16.02/12.11 (~v86(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36993, 36970])).
% 16.02/12.11 tff(36995,plain,
% 16.02/12.11 ((~(v84(constB3) <=> v86(constB3))) | (~v84(constB3)) | v86(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36996,plain,
% 16.02/12.11 ((~(v84(constB3) <=> v86(constB3))) | (~v84(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36995, 36994])).
% 16.02/12.11 tff(36997,plain,
% 16.02/12.11 (~v84(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36996, 36936])).
% 16.02/12.11 tff(36998,plain,
% 16.02/12.11 (((~v184(constB3)) | (~v84(constB3))) | v84(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(36999,plain,
% 16.02/12.11 ((~v184(constB3)) | (~v84(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[36998, 36997])).
% 16.02/12.11 tff(37000,plain,
% 16.02/12.11 ((~(v200(constB3) <=> (~((~v184(constB3)) | (~v84(constB3)))))) | (~v200(constB3)) | (~((~v184(constB3)) | (~v84(constB3))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37001,plain,
% 16.02/12.11 (~v200(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37000, 36999, 36934])).
% 16.02/12.11 tff(37002,plain,
% 16.02/12.11 (((~v186(constB3)) | (~v200(constB3))) | v200(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37003,plain,
% 16.02/12.11 ((~v186(constB3)) | (~v200(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37002, 37001])).
% 16.02/12.11 tff(37004,plain,
% 16.02/12.11 ((~(v199(constB3) <=> (~((~v186(constB3)) | (~v200(constB3)))))) | (~v199(constB3)) | (~((~v186(constB3)) | (~v200(constB3))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37005,plain,
% 16.02/12.11 (~v199(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37004, 37003, 36932])).
% 16.02/12.11 tff(37006,plain,
% 16.02/12.11 (((~v158(constB3)) | (~v199(constB3))) | v199(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37007,plain,
% 16.02/12.11 ((~v158(constB3)) | (~v199(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37006, 37005])).
% 16.02/12.11 tff(37008,plain,
% 16.02/12.11 ((~(v198(constB3) <=> (~((~v158(constB3)) | (~v199(constB3)))))) | (~v198(constB3)) | (~((~v158(constB3)) | (~v199(constB3))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37009,plain,
% 16.02/12.11 (~v198(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37008, 37007, 36930])).
% 16.02/12.11 tff(37010,plain,
% 16.02/12.11 ((~(v197(constB3) | v198(constB3))) | v197(constB3) | v198(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37011,plain,
% 16.02/12.11 (~(v197(constB3) | v198(constB3))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37010, 37009, 36928])).
% 16.02/12.11 tff(37012,plain,
% 16.02/12.11 ((~(v194(constB3) <=> (v197(constB3) | v198(constB3)))) | (~v194(constB3)) | (v197(constB3) | v198(constB3))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37013,plain,
% 16.02/12.11 (~v194(constB3)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37012, 37011, 36747])).
% 16.02/12.11 tff(37014,plain,
% 16.02/12.11 ((~(v196(constB4) <=> v194(constB3))) | (~v196(constB4)) | v194(constB3)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37015,plain,
% 16.02/12.11 (~v196(constB4)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37014, 37013, 36745])).
% 16.02/12.11 tff(37016,plain,
% 16.02/12.11 ((~(v191(constB4) <=> v196(constB4))) | (~v191(constB4)) | v196(constB4)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37017,plain,
% 16.02/12.11 (~v191(constB4)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37016, 37015, 36741])).
% 16.02/12.11 tff(37018,plain,
% 16.02/12.11 (((~v182(constB4)) | (~v191(constB4))) | v191(constB4)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37019,plain,
% 16.02/12.11 ((~v182(constB4)) | (~v191(constB4))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37018, 37017])).
% 16.02/12.11 tff(37020,plain,
% 16.02/12.11 ((~(v197(constB4) <=> (~((~v182(constB4)) | (~v191(constB4)))))) | (~v197(constB4)) | (~((~v182(constB4)) | (~v191(constB4))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37021,plain,
% 16.02/12.11 (~v197(constB4)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37020, 37019, 36739])).
% 16.02/12.11 tff(37022,plain,
% 16.02/12.11 ((~(v197(constB4) | v198(constB4))) | v197(constB4) | v198(constB4)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37023,plain,
% 16.02/12.11 (~(v197(constB4) | v198(constB4))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37022, 37021, 36737])).
% 16.02/12.11 tff(37024,plain,
% 16.02/12.11 ((~(v194(constB4) <=> (v197(constB4) | v198(constB4)))) | (~v194(constB4)) | (v197(constB4) | v198(constB4))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37025,plain,
% 16.02/12.11 (~v194(constB4)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37024, 37023, 36718])).
% 16.02/12.11 tff(37026,plain,
% 16.02/12.11 ((~(v196(constB5) <=> v194(constB4))) | (~v196(constB5)) | v194(constB4)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37027,plain,
% 16.02/12.11 (~v196(constB5)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37026, 37025, 36716])).
% 16.02/12.11 tff(37028,plain,
% 16.02/12.11 ((~(v191(constB5) <=> v196(constB5))) | (~v191(constB5)) | v196(constB5)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37029,plain,
% 16.02/12.11 (~v191(constB5)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37028, 37027, 36712])).
% 16.02/12.11 tff(37030,plain,
% 16.02/12.11 (((~v191(constB5)) | (~v206(constB5))) | v191(constB5)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37031,plain,
% 16.02/12.11 ((~v191(constB5)) | (~v206(constB5))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37030, 37029])).
% 16.02/12.11 tff(37032,plain,
% 16.02/12.11 ((~(v209(constB5) <=> (~((~v191(constB5)) | (~v206(constB5)))))) | (~v209(constB5)) | (~((~v191(constB5)) | (~v206(constB5))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37033,plain,
% 16.02/12.11 (~v209(constB5)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37032, 37031, 36710])).
% 16.02/12.11 tff(37034,plain,
% 16.02/12.11 ((~(v205(constB5) | v209(constB5))) | v205(constB5) | v209(constB5)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37035,plain,
% 16.02/12.11 (~(v205(constB5) | v209(constB5))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37034, 37033, 36703])).
% 16.02/12.11 tff(37036,plain,
% 16.02/12.11 ((~(v204(constB5) <=> (v205(constB5) | v209(constB5)))) | (~v204(constB5)) | (v205(constB5) | v209(constB5))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37037,plain,
% 16.02/12.11 (~v204(constB5)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37036, 37035, 36465])).
% 16.02/12.11 tff(37038,plain,
% 16.02/12.11 ($false),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37037, 36463])).
% 16.02/12.11 tff(37039,plain,(~(constB5 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.02/12.11 tff(37040,assumption,(constB190 = VarCurr!0), introduced(assumption)).
% 16.02/12.11 tff(37041,plain,
% 16.02/12.11 (v204(constB190) <=> v204(VarCurr!0)),
% 16.02/12.11 inference(monotonicity,[status(thm)],[37040])).
% 16.02/12.11 tff(37042,plain,
% 16.02/12.11 (v204(VarCurr!0) <=> v204(constB190)),
% 16.02/12.11 inference(symmetry,[status(thm)],[37041])).
% 16.02/12.11 tff(37043,plain,
% 16.02/12.11 (v204(constB190)),
% 16.02/12.11 inference(modus_ponens,[status(thm)],[27, 37042])).
% 16.02/12.11 tff(37044,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB190) <=> (v205(constB190) | v209(constB190)))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(37045,plain,
% 16.02/12.11 (v204(constB190) <=> (v205(constB190) | v209(constB190))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37044, 35])).
% 16.02/12.11 tff(37046,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190))))))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(37047,plain,
% 16.02/12.11 ((v209(constB190) <=> (~((~v206(constB190)) | (~v191(constB190))))) <=> (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190)))))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(37048,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v206(constB190)) | (~v191(constB190)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190))))))),
% 16.02/12.11 inference(monotonicity,[status(thm)],[37047])).
% 16.02/12.11 tff(37049,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v206(constB190)) | (~v191(constB190)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190))))))),
% 16.02/12.11 inference(transitivity,[status(thm)],[37048, 37046])).
% 16.02/12.11 tff(37050,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v206(constB190)) | (~v191(constB190)))))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(37051,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190)))))),
% 16.02/12.11 inference(modus_ponens,[status(thm)],[37050, 37049])).
% 16.02/12.11 tff(37052,plain,
% 16.02/12.11 (v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190))))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37051, 47])).
% 16.02/12.11 tff(37053,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB190) <=> (~((~v186(constB190)) | (~v207(constB190)))))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(37054,plain,
% 16.02/12.11 (v206(constB190) <=> (~((~v186(constB190)) | (~v207(constB190))))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37053, 16227])).
% 16.02/12.11 tff(37055,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190))))))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(37056,plain,
% 16.02/12.11 ((v207(constB190) <=> (~((~v208(constB190)) | (~v184(constB190))))) <=> (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190)))))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(37057,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v208(constB190)) | (~v184(constB190)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190))))))),
% 16.02/12.11 inference(monotonicity,[status(thm)],[37056])).
% 16.02/12.11 tff(37058,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v208(constB190)) | (~v184(constB190)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190))))))),
% 16.02/12.11 inference(transitivity,[status(thm)],[37057, 37055])).
% 16.02/12.11 tff(37059,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v208(constB190)) | (~v184(constB190)))))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(37060,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190)))))),
% 16.02/12.11 inference(modus_ponens,[status(thm)],[37059, 37058])).
% 16.02/12.11 tff(37061,plain,
% 16.02/12.11 (v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190))))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37060, 16239])).
% 16.02/12.11 tff(37062,plain,
% 16.02/12.11 (((~v184(constB190)) | (~v208(constB190))) | v184(constB190)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37063,plain,
% 16.02/12.11 ((~v184(constB190)) | (~v208(constB190))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37062, 31693])).
% 16.02/12.11 tff(37064,plain,
% 16.02/12.11 ((~(v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190)))))) | (~v207(constB190)) | (~((~v184(constB190)) | (~v208(constB190))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37065,plain,
% 16.02/12.11 ((~(v207(constB190) <=> (~((~v184(constB190)) | (~v208(constB190)))))) | (~v207(constB190))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37064, 37063])).
% 16.02/12.11 tff(37066,plain,
% 16.02/12.11 (~v207(constB190)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37065, 37061])).
% 16.02/12.11 tff(37067,plain,
% 16.02/12.11 (((~v186(constB190)) | (~v207(constB190))) | v207(constB190)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37068,plain,
% 16.02/12.11 ((~v186(constB190)) | (~v207(constB190))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37067, 37066])).
% 16.02/12.11 tff(37069,plain,
% 16.02/12.11 ((~(v206(constB190) <=> (~((~v186(constB190)) | (~v207(constB190)))))) | (~v206(constB190)) | (~((~v186(constB190)) | (~v207(constB190))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37070,plain,
% 16.02/12.11 (~v206(constB190)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37069, 37068, 37054])).
% 16.02/12.11 tff(37071,plain,
% 16.02/12.11 (((~v191(constB190)) | (~v206(constB190))) | v206(constB190)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37072,plain,
% 16.02/12.11 ((~v191(constB190)) | (~v206(constB190))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37071, 37070])).
% 16.02/12.11 tff(37073,plain,
% 16.02/12.11 ((~(v209(constB190) <=> (~((~v191(constB190)) | (~v206(constB190)))))) | (~v209(constB190)) | (~((~v191(constB190)) | (~v206(constB190))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37074,plain,
% 16.02/12.11 (~v209(constB190)),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37073, 37072, 37052])).
% 16.02/12.11 tff(37075,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190))))))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(37076,plain,
% 16.02/12.11 ((v205(constB190) <=> (~((~v206(constB190)) | (~v158(constB190))))) <=> (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190)))))),
% 16.02/12.11 inference(rewrite,[status(thm)],[])).
% 16.02/12.11 tff(37077,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v206(constB190)) | (~v158(constB190)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190))))))),
% 16.02/12.11 inference(monotonicity,[status(thm)],[37076])).
% 16.02/12.11 tff(37078,plain,
% 16.02/12.11 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v206(constB190)) | (~v158(constB190)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190))))))),
% 16.02/12.11 inference(transitivity,[status(thm)],[37077, 37075])).
% 16.02/12.11 tff(37079,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v206(constB190)) | (~v158(constB190)))))),
% 16.02/12.11 inference(quant_inst,[status(thm)],[])).
% 16.02/12.11 tff(37080,plain,
% 16.02/12.11 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190)))))),
% 16.02/12.11 inference(modus_ponens,[status(thm)],[37079, 37078])).
% 16.02/12.11 tff(37081,plain,
% 16.02/12.11 (v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190))))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37080, 2502])).
% 16.02/12.11 tff(37082,plain,
% 16.02/12.11 (((~v158(constB190)) | (~v206(constB190))) | v206(constB190)),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.11 tff(37083,plain,
% 16.02/12.11 ((~v158(constB190)) | (~v206(constB190))),
% 16.02/12.11 inference(unit_resolution,[status(thm)],[37082, 37070])).
% 16.02/12.11 tff(37084,plain,
% 16.02/12.11 ((~(v205(constB190) <=> (~((~v158(constB190)) | (~v206(constB190)))))) | (~v205(constB190)) | (~((~v158(constB190)) | (~v206(constB190))))),
% 16.02/12.11 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37085,plain,
% 16.02/12.12 (~v205(constB190)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37084, 37083, 37081])).
% 16.02/12.12 tff(37086,plain,
% 16.02/12.12 ((~(v205(constB190) | v209(constB190))) | v205(constB190) | v209(constB190)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37087,plain,
% 16.02/12.12 (~(v205(constB190) | v209(constB190))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37086, 37085, 37074])).
% 16.02/12.12 tff(37088,plain,
% 16.02/12.12 ((~(v204(constB190) <=> (v205(constB190) | v209(constB190)))) | (~v204(constB190)) | (v205(constB190) | v209(constB190))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37089,plain,
% 16.02/12.12 ((~(v204(constB190) <=> (v205(constB190) | v209(constB190)))) | (~v204(constB190))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37088, 37087])).
% 16.02/12.12 tff(37090,plain,
% 16.02/12.12 (~v204(constB190)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37089, 37045])).
% 16.02/12.12 tff(37091,plain,
% 16.02/12.12 ($false),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37090, 37043])).
% 16.02/12.12 tff(37092,plain,(~(constB190 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.02/12.12 tff(37093,assumption,(constB164 = VarCurr!0), introduced(assumption)).
% 16.02/12.12 tff(37094,plain,
% 16.02/12.12 (v204(constB164) <=> v204(VarCurr!0)),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37093])).
% 16.02/12.12 tff(37095,plain,
% 16.02/12.12 (v204(VarCurr!0) <=> v204(constB164)),
% 16.02/12.12 inference(symmetry,[status(thm)],[37094])).
% 16.02/12.12 tff(37096,plain,
% 16.02/12.12 (v204(constB164)),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[27, 37095])).
% 16.02/12.12 tff(37097,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB164) <=> (v205(constB164) | v209(constB164)))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37098,plain,
% 16.02/12.12 (v204(constB164) <=> (v205(constB164) | v209(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37097, 35])).
% 16.02/12.12 tff(37099,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164))))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37100,plain,
% 16.02/12.12 ((v209(constB164) <=> (~((~v206(constB164)) | (~v191(constB164))))) <=> (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164)))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37101,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v206(constB164)) | (~v191(constB164)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164))))))),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37100])).
% 16.02/12.12 tff(37102,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v206(constB164)) | (~v191(constB164)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164))))))),
% 16.02/12.12 inference(transitivity,[status(thm)],[37101, 37099])).
% 16.02/12.12 tff(37103,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v206(constB164)) | (~v191(constB164)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37104,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164)))))),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[37103, 37102])).
% 16.02/12.12 tff(37105,plain,
% 16.02/12.12 (v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37104, 47])).
% 16.02/12.12 tff(37106,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB164) <=> (~((~v186(constB164)) | (~v207(constB164)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37107,plain,
% 16.02/12.12 (v206(constB164) <=> (~((~v186(constB164)) | (~v207(constB164))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37106, 16227])).
% 16.02/12.12 tff(37108,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164))))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37109,plain,
% 16.02/12.12 ((v207(constB164) <=> (~((~v208(constB164)) | (~v184(constB164))))) <=> (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164)))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37110,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v208(constB164)) | (~v184(constB164)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164))))))),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37109])).
% 16.02/12.12 tff(37111,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v208(constB164)) | (~v184(constB164)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164))))))),
% 16.02/12.12 inference(transitivity,[status(thm)],[37110, 37108])).
% 16.02/12.12 tff(37112,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v208(constB164)) | (~v184(constB164)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37113,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164)))))),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[37112, 37111])).
% 16.02/12.12 tff(37114,plain,
% 16.02/12.12 (v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37113, 16239])).
% 16.02/12.12 tff(37115,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37116,plain,
% 16.02/12.12 (v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37115, 138])).
% 16.02/12.12 tff(37117,plain,
% 16.02/12.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB164)) <=> v1(constB164))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37118,plain,
% 16.02/12.12 ((~v39(constB164)) <=> v1(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37117, 147])).
% 16.02/12.12 tff(37119,plain,
% 16.02/12.12 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164)) | (~v1(constB164))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37120,plain,
% 16.02/12.12 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37119, 25086])).
% 16.02/12.12 tff(37121,plain,
% 16.02/12.12 (~v39(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37120, 37118])).
% 16.02/12.12 tff(37122,plain,
% 16.02/12.12 (((~v39(constB164)) | (~v9(constB164))) | v39(constB164)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37123,plain,
% 16.02/12.12 ((~v39(constB164)) | (~v9(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37122, 37121])).
% 16.02/12.12 tff(37124,plain,
% 16.02/12.12 ((~(v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v184(constB164)) | (~((~v39(constB164)) | (~v9(constB164))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37125,plain,
% 16.02/12.12 ((~(v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v184(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37124, 37123])).
% 16.02/12.12 tff(37126,plain,
% 16.02/12.12 (~v184(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37125, 37116])).
% 16.02/12.12 tff(37127,plain,
% 16.02/12.12 (((~v184(constB164)) | (~v208(constB164))) | v184(constB164)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37128,plain,
% 16.02/12.12 ((~v184(constB164)) | (~v208(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37127, 37126])).
% 16.02/12.12 tff(37129,plain,
% 16.02/12.12 ((~(v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164)))))) | (~v207(constB164)) | (~((~v184(constB164)) | (~v208(constB164))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37130,plain,
% 16.02/12.12 ((~(v207(constB164) <=> (~((~v184(constB164)) | (~v208(constB164)))))) | (~v207(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37129, 37128])).
% 16.02/12.12 tff(37131,plain,
% 16.02/12.12 (~v207(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37130, 37114])).
% 16.02/12.12 tff(37132,plain,
% 16.02/12.12 (((~v186(constB164)) | (~v207(constB164))) | v207(constB164)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37133,plain,
% 16.02/12.12 ((~v186(constB164)) | (~v207(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37132, 37131])).
% 16.02/12.12 tff(37134,plain,
% 16.02/12.12 ((~(v206(constB164) <=> (~((~v186(constB164)) | (~v207(constB164)))))) | (~v206(constB164)) | (~((~v186(constB164)) | (~v207(constB164))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37135,plain,
% 16.02/12.12 (~v206(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37134, 37133, 37107])).
% 16.02/12.12 tff(37136,plain,
% 16.02/12.12 (((~v191(constB164)) | (~v206(constB164))) | v206(constB164)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37137,plain,
% 16.02/12.12 ((~v191(constB164)) | (~v206(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37136, 37135])).
% 16.02/12.12 tff(37138,plain,
% 16.02/12.12 ((~(v209(constB164) <=> (~((~v191(constB164)) | (~v206(constB164)))))) | (~v209(constB164)) | (~((~v191(constB164)) | (~v206(constB164))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37139,plain,
% 16.02/12.12 (~v209(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37138, 37137, 37105])).
% 16.02/12.12 tff(37140,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164))))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37141,plain,
% 16.02/12.12 ((v205(constB164) <=> (~((~v206(constB164)) | (~v158(constB164))))) <=> (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164)))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37142,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v206(constB164)) | (~v158(constB164)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164))))))),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37141])).
% 16.02/12.12 tff(37143,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v206(constB164)) | (~v158(constB164)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164))))))),
% 16.02/12.12 inference(transitivity,[status(thm)],[37142, 37140])).
% 16.02/12.12 tff(37144,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v206(constB164)) | (~v158(constB164)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37145,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164)))))),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[37144, 37143])).
% 16.02/12.12 tff(37146,plain,
% 16.02/12.12 (v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37145, 2502])).
% 16.02/12.12 tff(37147,plain,
% 16.02/12.12 (((~v158(constB164)) | (~v206(constB164))) | v206(constB164)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37148,plain,
% 16.02/12.12 ((~v158(constB164)) | (~v206(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37147, 37135])).
% 16.02/12.12 tff(37149,plain,
% 16.02/12.12 ((~(v205(constB164) <=> (~((~v158(constB164)) | (~v206(constB164)))))) | (~v205(constB164)) | (~((~v158(constB164)) | (~v206(constB164))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37150,plain,
% 16.02/12.12 (~v205(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37149, 37148, 37146])).
% 16.02/12.12 tff(37151,plain,
% 16.02/12.12 ((~(v205(constB164) | v209(constB164))) | v205(constB164) | v209(constB164)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37152,plain,
% 16.02/12.12 (~(v205(constB164) | v209(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37151, 37150, 37139])).
% 16.02/12.12 tff(37153,plain,
% 16.02/12.12 ((~(v204(constB164) <=> (v205(constB164) | v209(constB164)))) | (~v204(constB164)) | (v205(constB164) | v209(constB164))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37154,plain,
% 16.02/12.12 ((~(v204(constB164) <=> (v205(constB164) | v209(constB164)))) | (~v204(constB164))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37153, 37152])).
% 16.02/12.12 tff(37155,plain,
% 16.02/12.12 (~v204(constB164)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37154, 37098])).
% 16.02/12.12 tff(37156,plain,
% 16.02/12.12 ($false),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37155, 37096])).
% 16.02/12.12 tff(37157,plain,(~(constB164 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.02/12.12 tff(37158,assumption,(constB176 = VarCurr!0), introduced(assumption)).
% 16.02/12.12 tff(37159,plain,
% 16.02/12.12 (v204(constB176) <=> v204(VarCurr!0)),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37158])).
% 16.02/12.12 tff(37160,plain,
% 16.02/12.12 (v204(VarCurr!0) <=> v204(constB176)),
% 16.02/12.12 inference(symmetry,[status(thm)],[37159])).
% 16.02/12.12 tff(37161,plain,
% 16.02/12.12 (v204(constB176)),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[27, 37160])).
% 16.02/12.12 tff(37162,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB176) <=> (v205(constB176) | v209(constB176)))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37163,plain,
% 16.02/12.12 (v204(constB176) <=> (v205(constB176) | v209(constB176))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37162, 35])).
% 16.02/12.12 tff(37164,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176))))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37165,plain,
% 16.02/12.12 ((v209(constB176) <=> (~((~v206(constB176)) | (~v191(constB176))))) <=> (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176)))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37166,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v206(constB176)) | (~v191(constB176)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176))))))),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37165])).
% 16.02/12.12 tff(37167,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v206(constB176)) | (~v191(constB176)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176))))))),
% 16.02/12.12 inference(transitivity,[status(thm)],[37166, 37164])).
% 16.02/12.12 tff(37168,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v206(constB176)) | (~v191(constB176)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37169,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176)))))),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[37168, 37167])).
% 16.02/12.12 tff(37170,plain,
% 16.02/12.12 (v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37169, 47])).
% 16.02/12.12 tff(37171,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB176) <=> (~((~v186(constB176)) | (~v207(constB176)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37172,plain,
% 16.02/12.12 (v206(constB176) <=> (~((~v186(constB176)) | (~v207(constB176))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37171, 16227])).
% 16.02/12.12 tff(37173,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176))))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37174,plain,
% 16.02/12.12 ((v207(constB176) <=> (~((~v208(constB176)) | (~v184(constB176))))) <=> (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176)))))),
% 16.02/12.12 inference(rewrite,[status(thm)],[])).
% 16.02/12.12 tff(37175,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v208(constB176)) | (~v184(constB176)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176))))))),
% 16.02/12.12 inference(monotonicity,[status(thm)],[37174])).
% 16.02/12.12 tff(37176,plain,
% 16.02/12.12 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v208(constB176)) | (~v184(constB176)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176))))))),
% 16.02/12.12 inference(transitivity,[status(thm)],[37175, 37173])).
% 16.02/12.12 tff(37177,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v208(constB176)) | (~v184(constB176)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37178,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176)))))),
% 16.02/12.12 inference(modus_ponens,[status(thm)],[37177, 37176])).
% 16.02/12.12 tff(37179,plain,
% 16.02/12.12 (v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37178, 16239])).
% 16.02/12.12 tff(37180,plain,
% 16.02/12.12 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37181,plain,
% 16.02/12.12 (v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37180, 138])).
% 16.02/12.12 tff(37182,plain,
% 16.02/12.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 16.02/12.12 inference(quant_inst,[status(thm)],[])).
% 16.02/12.12 tff(37183,plain,
% 16.02/12.12 ((~v39(constB176)) <=> v1(constB176)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37182, 147])).
% 16.02/12.12 tff(37184,plain,
% 16.02/12.12 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37185,plain,
% 16.02/12.12 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37184, 27935])).
% 16.02/12.12 tff(37186,plain,
% 16.02/12.12 (~v39(constB176)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37185, 37183])).
% 16.02/12.12 tff(37187,plain,
% 16.02/12.12 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37188,plain,
% 16.02/12.12 ((~v39(constB176)) | (~v9(constB176))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37187, 37186])).
% 16.02/12.12 tff(37189,plain,
% 16.02/12.12 ((~(v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v184(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37190,plain,
% 16.02/12.12 ((~(v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v184(constB176))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37189, 37188])).
% 16.02/12.12 tff(37191,plain,
% 16.02/12.12 (~v184(constB176)),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37190, 37181])).
% 16.02/12.12 tff(37192,plain,
% 16.02/12.12 (((~v184(constB176)) | (~v208(constB176))) | v184(constB176)),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37193,plain,
% 16.02/12.12 ((~v184(constB176)) | (~v208(constB176))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37192, 37191])).
% 16.02/12.12 tff(37194,plain,
% 16.02/12.12 ((~(v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176)))))) | (~v207(constB176)) | (~((~v184(constB176)) | (~v208(constB176))))),
% 16.02/12.12 inference(tautology,[status(thm)],[])).
% 16.02/12.12 tff(37195,plain,
% 16.02/12.12 ((~(v207(constB176) <=> (~((~v184(constB176)) | (~v208(constB176)))))) | (~v207(constB176))),
% 16.02/12.12 inference(unit_resolution,[status(thm)],[37194, 37193])).
% 16.02/12.13 tff(37196,plain,
% 16.02/12.13 (~v207(constB176)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37195, 37179])).
% 16.02/12.13 tff(37197,plain,
% 16.02/12.13 (((~v186(constB176)) | (~v207(constB176))) | v207(constB176)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37198,plain,
% 16.02/12.13 ((~v186(constB176)) | (~v207(constB176))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37197, 37196])).
% 16.02/12.13 tff(37199,plain,
% 16.02/12.13 ((~(v206(constB176) <=> (~((~v186(constB176)) | (~v207(constB176)))))) | (~v206(constB176)) | (~((~v186(constB176)) | (~v207(constB176))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37200,plain,
% 16.02/12.13 (~v206(constB176)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37199, 37198, 37172])).
% 16.02/12.13 tff(37201,plain,
% 16.02/12.13 (((~v191(constB176)) | (~v206(constB176))) | v206(constB176)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37202,plain,
% 16.02/12.13 ((~v191(constB176)) | (~v206(constB176))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37201, 37200])).
% 16.02/12.13 tff(37203,plain,
% 16.02/12.13 ((~(v209(constB176) <=> (~((~v191(constB176)) | (~v206(constB176)))))) | (~v209(constB176)) | (~((~v191(constB176)) | (~v206(constB176))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37204,plain,
% 16.02/12.13 (~v209(constB176)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37203, 37202, 37170])).
% 16.02/12.13 tff(37205,plain,
% 16.02/12.13 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176))))))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37206,plain,
% 16.02/12.13 ((v205(constB176) <=> (~((~v206(constB176)) | (~v158(constB176))))) <=> (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176)))))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37207,plain,
% 16.02/12.13 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v206(constB176)) | (~v158(constB176)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176))))))),
% 16.02/12.13 inference(monotonicity,[status(thm)],[37206])).
% 16.02/12.13 tff(37208,plain,
% 16.02/12.13 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v206(constB176)) | (~v158(constB176)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176))))))),
% 16.02/12.13 inference(transitivity,[status(thm)],[37207, 37205])).
% 16.02/12.13 tff(37209,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v206(constB176)) | (~v158(constB176)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37210,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176)))))),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37209, 37208])).
% 16.02/12.13 tff(37211,plain,
% 16.02/12.13 (v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37210, 2502])).
% 16.02/12.13 tff(37212,plain,
% 16.02/12.13 (((~v158(constB176)) | (~v206(constB176))) | v206(constB176)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37213,plain,
% 16.02/12.13 ((~v158(constB176)) | (~v206(constB176))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37212, 37200])).
% 16.02/12.13 tff(37214,plain,
% 16.02/12.13 ((~(v205(constB176) <=> (~((~v158(constB176)) | (~v206(constB176)))))) | (~v205(constB176)) | (~((~v158(constB176)) | (~v206(constB176))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37215,plain,
% 16.02/12.13 (~v205(constB176)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37214, 37213, 37211])).
% 16.02/12.13 tff(37216,plain,
% 16.02/12.13 ((~(v205(constB176) | v209(constB176))) | v205(constB176) | v209(constB176)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37217,plain,
% 16.02/12.13 (~(v205(constB176) | v209(constB176))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37216, 37215, 37204])).
% 16.02/12.13 tff(37218,plain,
% 16.02/12.13 ((~(v204(constB176) <=> (v205(constB176) | v209(constB176)))) | (~v204(constB176)) | (v205(constB176) | v209(constB176))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37219,plain,
% 16.02/12.13 ((~(v204(constB176) <=> (v205(constB176) | v209(constB176)))) | (~v204(constB176))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37218, 37217])).
% 16.02/12.13 tff(37220,plain,
% 16.02/12.13 (~v204(constB176)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37219, 37163])).
% 16.02/12.13 tff(37221,plain,
% 16.02/12.13 ($false),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37220, 37161])).
% 16.02/12.13 tff(37222,plain,(~(constB176 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.02/12.13 tff(37223,assumption,(constB197 = VarCurr!0), introduced(assumption)).
% 16.02/12.13 tff(37224,plain,
% 16.02/12.13 (v204(constB197) <=> v204(VarCurr!0)),
% 16.02/12.13 inference(monotonicity,[status(thm)],[37223])).
% 16.02/12.13 tff(37225,plain,
% 16.02/12.13 (v204(VarCurr!0) <=> v204(constB197)),
% 16.02/12.13 inference(symmetry,[status(thm)],[37224])).
% 16.02/12.13 tff(37226,plain,
% 16.02/12.13 (v204(constB197)),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[27, 37225])).
% 16.02/12.13 tff(37227,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB197) <=> (v205(constB197) | v209(constB197)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37228,plain,
% 16.02/12.13 (v204(constB197) <=> (v205(constB197) | v209(constB197))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37227, 35])).
% 16.02/12.13 tff(37229,plain,
% 16.02/12.13 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197))))))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37230,plain,
% 16.02/12.13 ((v209(constB197) <=> (~((~v206(constB197)) | (~v191(constB197))))) <=> (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197)))))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37231,plain,
% 16.02/12.13 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v206(constB197)) | (~v191(constB197)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197))))))),
% 16.02/12.13 inference(monotonicity,[status(thm)],[37230])).
% 16.02/12.13 tff(37232,plain,
% 16.02/12.13 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v206(constB197)) | (~v191(constB197)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197))))))),
% 16.02/12.13 inference(transitivity,[status(thm)],[37231, 37229])).
% 16.02/12.13 tff(37233,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v206(constB197)) | (~v191(constB197)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37234,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197)))))),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37233, 37232])).
% 16.02/12.13 tff(37235,plain,
% 16.02/12.13 (v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37234, 47])).
% 16.02/12.13 tff(37236,plain,
% 16.02/12.13 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB197) <=> v196(constB197))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37237,plain,
% 16.02/12.13 (v191(constB197) <=> v196(constB197)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37236, 64])).
% 16.02/12.13 tff(37238,plain,
% 16.02/12.13 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37239,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196')).
% 16.02/12.13 tff(37240,plain,
% 16.02/12.13 (nextState(constB196, constB197)),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37239, 37238])).
% 16.02/12.13 tff(37241,plain,
% 16.02/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB196, constB197)) | (v196(constB197) <=> v194(constB196)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB196, constB197)) | (v196(constB197) <=> v194(constB196)))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37242,plain,
% 16.02/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB196, constB197)) | (v196(constB197) <=> v194(constB196)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37243,plain,
% 16.02/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB196, constB197)) | (v196(constB197) <=> v194(constB196))),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37242, 37241])).
% 16.02/12.13 tff(37244,plain,
% 16.02/12.13 (v196(constB197) <=> v194(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37243, 37240, 76])).
% 16.02/12.13 tff(37245,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB196) <=> (v197(constB196) | v198(constB196)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37246,plain,
% 16.02/12.13 (v194(constB196) <=> (v197(constB196) | v198(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37245, 90])).
% 16.02/12.13 tff(37247,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB196) <=> (~((~v158(constB196)) | (~v199(constB196)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37248,plain,
% 16.02/12.13 (v198(constB196) <=> (~((~v158(constB196)) | (~v199(constB196))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37247, 102])).
% 16.02/12.13 tff(37249,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB196) <=> (~((~v186(constB196)) | (~v200(constB196)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37250,plain,
% 16.02/12.13 (v199(constB196) <=> (~((~v186(constB196)) | (~v200(constB196))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37249, 114])).
% 16.02/12.13 tff(37251,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB196) <=> (~((~v184(constB196)) | (~v84(constB196)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37252,plain,
% 16.02/12.13 (v200(constB196) <=> (~((~v184(constB196)) | (~v84(constB196))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37251, 126])).
% 16.02/12.13 tff(37253,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37254,plain,
% 16.02/12.13 (v184(constB196) <=> (~((~v39(constB196)) | (~v9(constB196))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37253, 138])).
% 16.02/12.13 tff(37255,plain,
% 16.02/12.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB196)) <=> v1(constB196))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37256,plain,
% 16.02/12.13 ((~v39(constB196)) <=> v1(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37255, 147])).
% 16.02/12.13 tff(37257,plain,
% 16.02/12.13 (v1(constB196) <=> v1(constB196)),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37258,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196')).
% 16.02/12.13 tff(37259,plain,
% 16.02/12.13 (v1(constB196)),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37258, 37257])).
% 16.02/12.13 tff(37260,plain,
% 16.02/12.13 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196)) | (~v1(constB196))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37261,plain,
% 16.02/12.13 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37260, 37259])).
% 16.02/12.13 tff(37262,plain,
% 16.02/12.13 (~v39(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37261, 37256])).
% 16.02/12.13 tff(37263,plain,
% 16.02/12.13 (((~v39(constB196)) | (~v9(constB196))) | v39(constB196)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37264,plain,
% 16.02/12.13 ((~v39(constB196)) | (~v9(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37263, 37262])).
% 16.02/12.13 tff(37265,plain,
% 16.02/12.13 ((~(v184(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v184(constB196)) | (~((~v39(constB196)) | (~v9(constB196))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37266,plain,
% 16.02/12.13 ((~(v184(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v184(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37265, 37264])).
% 16.02/12.13 tff(37267,plain,
% 16.02/12.13 (~v184(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37266, 37254])).
% 16.02/12.13 tff(37268,plain,
% 16.02/12.13 (((~v184(constB196)) | (~v84(constB196))) | v184(constB196)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37269,plain,
% 16.02/12.13 ((~v184(constB196)) | (~v84(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37268, 37267])).
% 16.02/12.13 tff(37270,plain,
% 16.02/12.13 ((~(v200(constB196) <=> (~((~v184(constB196)) | (~v84(constB196)))))) | (~v200(constB196)) | (~((~v184(constB196)) | (~v84(constB196))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37271,plain,
% 16.02/12.13 ((~(v200(constB196) <=> (~((~v184(constB196)) | (~v84(constB196)))))) | (~v200(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37270, 37269])).
% 16.02/12.13 tff(37272,plain,
% 16.02/12.13 (~v200(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37271, 37252])).
% 16.02/12.13 tff(37273,plain,
% 16.02/12.13 (((~v186(constB196)) | (~v200(constB196))) | v200(constB196)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37274,plain,
% 16.02/12.13 ((~v186(constB196)) | (~v200(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37273, 37272])).
% 16.02/12.13 tff(37275,plain,
% 16.02/12.13 ((~(v199(constB196) <=> (~((~v186(constB196)) | (~v200(constB196)))))) | (~v199(constB196)) | (~((~v186(constB196)) | (~v200(constB196))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37276,plain,
% 16.02/12.13 (~v199(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37275, 37274, 37250])).
% 16.02/12.13 tff(37277,plain,
% 16.02/12.13 (((~v158(constB196)) | (~v199(constB196))) | v199(constB196)),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37278,plain,
% 16.02/12.13 ((~v158(constB196)) | (~v199(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37277, 37276])).
% 16.02/12.13 tff(37279,plain,
% 16.02/12.13 ((~(v198(constB196) <=> (~((~v158(constB196)) | (~v199(constB196)))))) | (~v198(constB196)) | (~((~v158(constB196)) | (~v199(constB196))))),
% 16.02/12.13 inference(tautology,[status(thm)],[])).
% 16.02/12.13 tff(37280,plain,
% 16.02/12.13 (~v198(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37279, 37278, 37248])).
% 16.02/12.13 tff(37281,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB196) <=> (~((~v182(constB196)) | (~v191(constB196)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37282,plain,
% 16.02/12.13 (v197(constB196) <=> (~((~v182(constB196)) | (~v191(constB196))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37281, 183])).
% 16.02/12.13 tff(37283,plain,
% 16.02/12.13 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB196) <=> v196(constB196))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37284,plain,
% 16.02/12.13 (v191(constB196) <=> v196(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37283, 64])).
% 16.02/12.13 tff(37285,plain,
% 16.02/12.13 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37286,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195')).
% 16.02/12.13 tff(37287,plain,
% 16.02/12.13 (nextState(constB195, constB196)),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37286, 37285])).
% 16.02/12.13 tff(37288,plain,
% 16.02/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB195, constB196)) | (v196(constB196) <=> v194(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB195, constB196)) | (v196(constB196) <=> v194(constB195)))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37289,plain,
% 16.02/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB195, constB196)) | (v196(constB196) <=> v194(constB195)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37290,plain,
% 16.02/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB195, constB196)) | (v196(constB196) <=> v194(constB195))),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37289, 37288])).
% 16.02/12.13 tff(37291,plain,
% 16.02/12.13 (v196(constB196) <=> v194(constB195)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37290, 37287, 76])).
% 16.02/12.13 tff(37292,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB195) <=> (v197(constB195) | v198(constB195)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37293,plain,
% 16.02/12.13 (v194(constB195) <=> (v197(constB195) | v198(constB195))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37292, 90])).
% 16.02/12.13 tff(37294,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB195) <=> (~((~v182(constB195)) | (~v191(constB195)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37295,plain,
% 16.02/12.13 (v197(constB195) <=> (~((~v182(constB195)) | (~v191(constB195))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37294, 183])).
% 16.02/12.13 tff(37296,plain,
% 16.02/12.13 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB195)) <=> v183(constB195))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37297,plain,
% 16.02/12.13 ((~v182(constB195)) <=> v183(constB195)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37296, 205])).
% 16.02/12.13 tff(37298,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB195) <=> (v184(constB195) | v26(constB195)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37299,plain,
% 16.02/12.13 (v183(constB195) <=> (v184(constB195) | v26(constB195))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37298, 214])).
% 16.02/12.13 tff(37300,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37301,plain,
% 16.02/12.13 (v184(constB195) <=> (~((~v39(constB195)) | (~v9(constB195))))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37300, 138])).
% 16.02/12.13 tff(37302,plain,
% 16.02/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 16.02/12.13 inference(rewrite,[status(thm)],[])).
% 16.02/12.13 tff(37303,plain,
% 16.02/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37304,plain,
% 16.02/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195))),
% 16.02/12.13 inference(modus_ponens,[status(thm)],[37303, 37302])).
% 16.02/12.13 tff(37305,plain,
% 16.02/12.13 (v13(constB196) <=> v9(constB195)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37304, 37287, 228])).
% 16.02/12.13 tff(37306,plain,
% 16.02/12.13 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB196) <=> v13(constB196))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37307,plain,
% 16.02/12.13 (v6(constB196) <=> v13(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37306, 242])).
% 16.02/12.13 tff(37308,plain,
% 16.02/12.13 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB196)) <=> v6(constB196))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37309,plain,
% 16.02/12.13 ((~v21(constB196)) <=> v6(constB196)),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37308, 251])).
% 16.02/12.13 tff(37310,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB196) <=> (v20(constB196) | v21(constB196)))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37311,plain,
% 16.02/12.13 (v19(constB196) <=> (v20(constB196) | v21(constB196))),
% 16.02/12.13 inference(unit_resolution,[status(thm)],[37310, 260])).
% 16.02/12.13 tff(37312,plain,
% 16.02/12.13 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))),
% 16.02/12.13 inference(quant_inst,[status(thm)],[])).
% 16.02/12.13 tff(37313,plain,
% 16.02/12.13 (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37312, 272])).
% 16.02/12.14 tff(37314,plain,
% 16.02/12.14 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB196)) <=> v18(constB196))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37315,plain,
% 16.02/12.14 ((~v4(constB196)) <=> v18(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37314, 281])).
% 16.02/12.14 tff(37316,plain,
% 16.02/12.14 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB196)),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37317,plain,
% 16.02/12.14 (v4(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37316, 290])).
% 16.02/12.14 tff(37318,plain,
% 16.02/12.14 ((~((~v4(constB196)) <=> v18(constB196))) | (~v4(constB196)) | (~v18(constB196))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37319,plain,
% 16.02/12.14 (~v18(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37318, 37317, 37315])).
% 16.02/12.14 tff(37320,plain,
% 16.02/12.14 ((~(v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))) | v18(constB196) | ((~v19(constB196)) | (~v22(constB196)))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37321,plain,
% 16.02/12.14 ((~v19(constB196)) | (~v22(constB196))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37320, 37319, 37313])).
% 16.02/12.14 tff(37322,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB196) <=> (v1(constB196) | v6(constB196)))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37323,plain,
% 16.02/12.14 (v22(constB196) <=> (v1(constB196) | v6(constB196))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37322, 303])).
% 16.02/12.14 tff(37324,plain,
% 16.02/12.14 ((v1(constB196) | v6(constB196)) | (~v1(constB196))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37325,plain,
% 16.02/12.14 (v1(constB196) | v6(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37324, 37259])).
% 16.02/12.14 tff(37326,plain,
% 16.02/12.14 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196) | (~(v1(constB196) | v6(constB196)))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37327,plain,
% 16.02/12.14 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37326, 37325])).
% 16.02/12.14 tff(37328,plain,
% 16.02/12.14 (v22(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37327, 37323])).
% 16.02/12.14 tff(37329,plain,
% 16.02/12.14 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196)) | (~v22(constB196))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37330,plain,
% 16.02/12.14 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37329, 37328])).
% 16.02/12.14 tff(37331,plain,
% 16.02/12.14 (~v19(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37330, 37321])).
% 16.02/12.14 tff(37332,plain,
% 16.02/12.14 ((~(v19(constB196) <=> (v20(constB196) | v21(constB196)))) | v19(constB196) | (~(v20(constB196) | v21(constB196)))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37333,plain,
% 16.02/12.14 (~(v20(constB196) | v21(constB196))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37332, 37331, 37311])).
% 16.02/12.14 tff(37334,plain,
% 16.02/12.14 ((v20(constB196) | v21(constB196)) | (~v21(constB196))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37335,plain,
% 16.02/12.14 (~v21(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37334, 37333])).
% 16.02/12.14 tff(37336,plain,
% 16.02/12.14 ((~((~v21(constB196)) <=> v6(constB196))) | v21(constB196) | v6(constB196)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37337,plain,
% 16.02/12.14 (v6(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37336, 37335, 37309])).
% 16.02/12.14 tff(37338,plain,
% 16.02/12.14 ((~(v6(constB196) <=> v13(constB196))) | (~v6(constB196)) | v13(constB196)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37339,plain,
% 16.02/12.14 (v13(constB196)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37338, 37337, 37307])).
% 16.02/12.14 tff(37340,plain,
% 16.02/12.14 ((~(v13(constB196) <=> v9(constB195))) | (~v13(constB196)) | v9(constB195)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37341,plain,
% 16.02/12.14 (v9(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37340, 37339, 37305])).
% 16.02/12.14 tff(37342,plain,
% 16.02/12.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB195)) <=> v1(constB195))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37343,plain,
% 16.02/12.14 ((~v39(constB195)) <=> v1(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37342, 147])).
% 16.02/12.14 tff(37344,plain,
% 16.02/12.14 ((~v1(constB195)) <=> (~v1(constB195))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37345,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195')).
% 16.02/12.14 tff(37346,plain,
% 16.02/12.14 (~v1(constB195)),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37345, 37344])).
% 16.02/12.14 tff(37347,plain,
% 16.02/12.14 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195) | v1(constB195)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37348,plain,
% 16.02/12.14 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37347, 37346])).
% 16.02/12.14 tff(37349,plain,
% 16.02/12.14 (v39(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37348, 37343])).
% 16.02/12.14 tff(37350,plain,
% 16.02/12.14 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v39(constB195)) | (~v9(constB195))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37351,plain,
% 16.02/12.14 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v9(constB195))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37350, 37349])).
% 16.02/12.14 tff(37352,plain,
% 16.02/12.14 (~((~v39(constB195)) | (~v9(constB195)))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37351, 37341])).
% 16.02/12.14 tff(37353,plain,
% 16.02/12.14 ((~(v184(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))) | v184(constB195) | ((~v39(constB195)) | (~v9(constB195)))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37354,plain,
% 16.02/12.14 (v184(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37353, 37352, 37301])).
% 16.02/12.14 tff(37355,plain,
% 16.02/12.14 ((v184(constB195) | v26(constB195)) | (~v184(constB195))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37356,plain,
% 16.02/12.14 (v184(constB195) | v26(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37355, 37354])).
% 16.02/12.14 tff(37357,plain,
% 16.02/12.14 ((~(v183(constB195) <=> (v184(constB195) | v26(constB195)))) | v183(constB195) | (~(v184(constB195) | v26(constB195)))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37358,plain,
% 16.02/12.14 (v183(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37357, 37356, 37299])).
% 16.02/12.14 tff(37359,plain,
% 16.02/12.14 ((~((~v182(constB195)) <=> v183(constB195))) | (~v182(constB195)) | (~v183(constB195))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37360,plain,
% 16.02/12.14 (~v182(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37359, 37358, 37297])).
% 16.02/12.14 tff(37361,plain,
% 16.02/12.14 (((~v182(constB195)) | (~v191(constB195))) | v182(constB195)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37362,plain,
% 16.02/12.14 ((~v182(constB195)) | (~v191(constB195))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37361, 37360])).
% 16.02/12.14 tff(37363,plain,
% 16.02/12.14 ((~(v197(constB195) <=> (~((~v182(constB195)) | (~v191(constB195)))))) | (~v197(constB195)) | (~((~v182(constB195)) | (~v191(constB195))))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37364,plain,
% 16.02/12.14 (~v197(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37363, 37362, 37295])).
% 16.02/12.14 tff(37365,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB195) <=> (~((~v158(constB195)) | (~v199(constB195)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37366,plain,
% 16.02/12.14 (v198(constB195) <=> (~((~v158(constB195)) | (~v199(constB195))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37365, 102])).
% 16.02/12.14 tff(37367,plain,
% 16.02/12.14 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB195) <=> v180(constB195))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37368,plain,
% 16.02/12.14 (v158(constB195) <=> v180(constB195)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37367, 358])).
% 16.02/12.14 tff(37369,plain,
% 16.02/12.14 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37370,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194')).
% 16.02/12.14 tff(37371,plain,
% 16.02/12.14 (nextState(constB194, constB195)),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37370, 37369])).
% 16.02/12.14 tff(37372,plain,
% 16.02/12.14 (((~![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)))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37373,plain,
% 16.02/12.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37374,plain,
% 16.02/12.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194))),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37373, 37372])).
% 16.02/12.14 tff(37375,plain,
% 16.02/12.14 (v180(constB195) <=> v178(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37374, 37371, 370])).
% 16.02/12.14 tff(37376,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB194) <=> (v181(constB194) | v185(constB194)))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37377,plain,
% 16.02/12.14 (v178(constB194) <=> (v181(constB194) | v185(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37376, 384])).
% 16.02/12.14 tff(37378,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37379,plain,
% 16.02/12.14 (v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37378, 396])).
% 16.02/12.14 tff(37380,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB194) <=> (~((~v184(constB194)) | (~v160(constB194)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37381,plain,
% 16.02/12.14 (v187(constB194) <=> (~((~v184(constB194)) | (~v160(constB194))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37380, 408])).
% 16.02/12.14 tff(37382,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37383,plain,
% 16.02/12.14 (v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37382, 138])).
% 16.02/12.14 tff(37384,plain,
% 16.02/12.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB194)) <=> v1(constB194))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37385,plain,
% 16.02/12.14 ((~v39(constB194)) <=> v1(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37384, 147])).
% 16.02/12.14 tff(37386,plain,
% 16.02/12.14 (v1(constB194) <=> v1(constB194)),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37387,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194')).
% 16.02/12.14 tff(37388,plain,
% 16.02/12.14 (v1(constB194)),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37387, 37386])).
% 16.02/12.14 tff(37389,plain,
% 16.02/12.14 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194)) | (~v1(constB194))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37390,plain,
% 16.02/12.14 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37389, 37388])).
% 16.02/12.14 tff(37391,plain,
% 16.02/12.14 (~v39(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37390, 37385])).
% 16.02/12.14 tff(37392,plain,
% 16.02/12.14 (((~v39(constB194)) | (~v9(constB194))) | v39(constB194)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37393,plain,
% 16.02/12.14 ((~v39(constB194)) | (~v9(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37392, 37391])).
% 16.02/12.14 tff(37394,plain,
% 16.02/12.14 ((~(v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v184(constB194)) | (~((~v39(constB194)) | (~v9(constB194))))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37395,plain,
% 16.02/12.14 ((~(v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v184(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37394, 37393])).
% 16.02/12.14 tff(37396,plain,
% 16.02/12.14 (~v184(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37395, 37383])).
% 16.02/12.14 tff(37397,plain,
% 16.02/12.14 (((~v184(constB194)) | (~v160(constB194))) | v184(constB194)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37398,plain,
% 16.02/12.14 ((~v184(constB194)) | (~v160(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37397, 37396])).
% 16.02/12.14 tff(37399,plain,
% 16.02/12.14 ((~(v187(constB194) <=> (~((~v184(constB194)) | (~v160(constB194)))))) | (~v187(constB194)) | (~((~v184(constB194)) | (~v160(constB194))))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37400,plain,
% 16.02/12.14 ((~(v187(constB194) <=> (~((~v184(constB194)) | (~v160(constB194)))))) | (~v187(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37399, 37398])).
% 16.02/12.14 tff(37401,plain,
% 16.02/12.14 (~v187(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37400, 37381])).
% 16.02/12.14 tff(37402,plain,
% 16.02/12.14 (((~v186(constB194)) | (~v187(constB194))) | v187(constB194)),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37403,plain,
% 16.02/12.14 ((~v186(constB194)) | (~v187(constB194))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37402, 37401])).
% 16.02/12.14 tff(37404,plain,
% 16.02/12.14 ((~(v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194)))))) | (~v185(constB194)) | (~((~v186(constB194)) | (~v187(constB194))))),
% 16.02/12.14 inference(tautology,[status(thm)],[])).
% 16.02/12.14 tff(37405,plain,
% 16.02/12.14 (~v185(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37404, 37403, 37379])).
% 16.02/12.14 tff(37406,plain,
% 16.02/12.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194))))))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37407,plain,
% 16.02/12.14 ((v181(constB194) <=> (~((~v182(constB194)) | (~v158(constB194))))) <=> (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194)))))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37408,plain,
% 16.02/12.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v158(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194))))))),
% 16.02/12.14 inference(monotonicity,[status(thm)],[37407])).
% 16.02/12.14 tff(37409,plain,
% 16.02/12.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v158(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194))))))),
% 16.02/12.14 inference(transitivity,[status(thm)],[37408, 37406])).
% 16.02/12.14 tff(37410,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v158(constB194)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37411,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194)))))),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37410, 37409])).
% 16.02/12.14 tff(37412,plain,
% 16.02/12.14 (v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37411, 444])).
% 16.02/12.14 tff(37413,plain,
% 16.02/12.14 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB194) <=> v180(constB194))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37414,plain,
% 16.02/12.14 (v158(constB194) <=> v180(constB194)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37413, 358])).
% 16.02/12.14 tff(37415,plain,
% 16.02/12.14 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37416,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193')).
% 16.02/12.14 tff(37417,plain,
% 16.02/12.14 (nextState(constB193, constB194)),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37416, 37415])).
% 16.02/12.14 tff(37418,plain,
% 16.02/12.14 (((~![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)))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37419,plain,
% 16.02/12.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37420,plain,
% 16.02/12.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193))),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37419, 37418])).
% 16.02/12.14 tff(37421,plain,
% 16.02/12.14 (v180(constB194) <=> v178(constB193)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37420, 37417, 370])).
% 16.02/12.14 tff(37422,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB193) <=> (v181(constB193) | v185(constB193)))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37423,plain,
% 16.02/12.14 (v178(constB193) <=> (v181(constB193) | v185(constB193))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37422, 384])).
% 16.02/12.14 tff(37424,plain,
% 16.02/12.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193))))))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37425,plain,
% 16.02/12.14 ((v181(constB193) <=> (~((~v182(constB193)) | (~v158(constB193))))) <=> (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193)))))),
% 16.02/12.14 inference(rewrite,[status(thm)],[])).
% 16.02/12.14 tff(37426,plain,
% 16.02/12.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v158(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193))))))),
% 16.02/12.14 inference(monotonicity,[status(thm)],[37425])).
% 16.02/12.14 tff(37427,plain,
% 16.02/12.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v158(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193))))))),
% 16.02/12.14 inference(transitivity,[status(thm)],[37426, 37424])).
% 16.02/12.14 tff(37428,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v158(constB193)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37429,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193)))))),
% 16.02/12.14 inference(modus_ponens,[status(thm)],[37428, 37427])).
% 16.02/12.14 tff(37430,plain,
% 16.02/12.14 (v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37429, 444])).
% 16.02/12.14 tff(37431,plain,
% 16.02/12.14 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB193)) <=> v183(constB193))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37432,plain,
% 16.02/12.14 ((~v182(constB193)) <=> v183(constB193)),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37431, 205])).
% 16.02/12.14 tff(37433,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB193) <=> (v184(constB193) | v26(constB193)))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37434,plain,
% 16.02/12.14 (v183(constB193) <=> (v184(constB193) | v26(constB193))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37433, 214])).
% 16.02/12.14 tff(37435,plain,
% 16.02/12.14 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))),
% 16.02/12.14 inference(quant_inst,[status(thm)],[])).
% 16.02/12.14 tff(37436,plain,
% 16.02/12.14 (v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193))))),
% 16.02/12.14 inference(unit_resolution,[status(thm)],[37435, 138])).
% 16.02/12.15 tff(37437,plain,
% 16.02/12.15 (((~![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)))),
% 16.02/12.15 inference(rewrite,[status(thm)],[])).
% 16.02/12.15 tff(37438,plain,
% 16.02/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37439,plain,
% 16.02/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193))),
% 16.02/12.15 inference(modus_ponens,[status(thm)],[37438, 37437])).
% 16.02/12.15 tff(37440,plain,
% 16.02/12.15 (v13(constB194) <=> v9(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37439, 37417, 228])).
% 16.02/12.15 tff(37441,plain,
% 16.02/12.15 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB194) <=> v13(constB194))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37442,plain,
% 16.02/12.15 (v6(constB194) <=> v13(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37441, 242])).
% 16.02/12.15 tff(37443,plain,
% 16.02/12.15 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB194)) <=> v6(constB194))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37444,plain,
% 16.02/12.15 ((~v21(constB194)) <=> v6(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37443, 251])).
% 16.02/12.15 tff(37445,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB194) <=> (v20(constB194) | v21(constB194)))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37446,plain,
% 16.02/12.15 (v19(constB194) <=> (v20(constB194) | v21(constB194))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37445, 260])).
% 16.02/12.15 tff(37447,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37448,plain,
% 16.02/12.15 (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194))))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37447, 272])).
% 16.02/12.15 tff(37449,plain,
% 16.02/12.15 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB194)) <=> v18(constB194))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37450,plain,
% 16.02/12.15 ((~v4(constB194)) <=> v18(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37449, 281])).
% 16.02/12.15 tff(37451,plain,
% 16.02/12.15 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB194)),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37452,plain,
% 16.02/12.15 (v4(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37451, 290])).
% 16.02/12.15 tff(37453,plain,
% 16.02/12.15 ((~((~v4(constB194)) <=> v18(constB194))) | (~v4(constB194)) | (~v18(constB194))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37454,plain,
% 16.02/12.15 (~v18(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37453, 37452, 37450])).
% 16.02/12.15 tff(37455,plain,
% 16.02/12.15 ((~(v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))) | v18(constB194) | ((~v19(constB194)) | (~v22(constB194)))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37456,plain,
% 16.02/12.15 ((~v19(constB194)) | (~v22(constB194))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37455, 37454, 37448])).
% 16.02/12.15 tff(37457,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB194) <=> (v1(constB194) | v6(constB194)))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37458,plain,
% 16.02/12.15 (v22(constB194) <=> (v1(constB194) | v6(constB194))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37457, 303])).
% 16.02/12.15 tff(37459,plain,
% 16.02/12.15 ((v1(constB194) | v6(constB194)) | (~v1(constB194))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37460,plain,
% 16.02/12.15 (v1(constB194) | v6(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37459, 37388])).
% 16.02/12.15 tff(37461,plain,
% 16.02/12.15 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194) | (~(v1(constB194) | v6(constB194)))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37462,plain,
% 16.02/12.15 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37461, 37460])).
% 16.02/12.15 tff(37463,plain,
% 16.02/12.15 (v22(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37462, 37458])).
% 16.02/12.15 tff(37464,plain,
% 16.02/12.15 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194)) | (~v22(constB194))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37465,plain,
% 16.02/12.15 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37464, 37463])).
% 16.02/12.15 tff(37466,plain,
% 16.02/12.15 (~v19(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37465, 37456])).
% 16.02/12.15 tff(37467,plain,
% 16.02/12.15 ((~(v19(constB194) <=> (v20(constB194) | v21(constB194)))) | v19(constB194) | (~(v20(constB194) | v21(constB194)))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37468,plain,
% 16.02/12.15 (~(v20(constB194) | v21(constB194))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37467, 37466, 37446])).
% 16.02/12.15 tff(37469,plain,
% 16.02/12.15 ((v20(constB194) | v21(constB194)) | (~v21(constB194))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37470,plain,
% 16.02/12.15 (~v21(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37469, 37468])).
% 16.02/12.15 tff(37471,plain,
% 16.02/12.15 ((~((~v21(constB194)) <=> v6(constB194))) | v21(constB194) | v6(constB194)),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37472,plain,
% 16.02/12.15 (v6(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37471, 37470, 37444])).
% 16.02/12.15 tff(37473,plain,
% 16.02/12.15 ((~(v6(constB194) <=> v13(constB194))) | (~v6(constB194)) | v13(constB194)),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37474,plain,
% 16.02/12.15 (v13(constB194)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37473, 37472, 37442])).
% 16.02/12.15 tff(37475,plain,
% 16.02/12.15 ((~(v13(constB194) <=> v9(constB193))) | (~v13(constB194)) | v9(constB193)),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37476,plain,
% 16.02/12.15 (v9(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37475, 37474, 37440])).
% 16.02/12.15 tff(37477,plain,
% 16.02/12.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB193)) <=> v1(constB193))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37478,plain,
% 16.02/12.15 ((~v39(constB193)) <=> v1(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37477, 147])).
% 16.02/12.15 tff(37479,plain,
% 16.02/12.15 ((~v1(constB193)) <=> (~v1(constB193))),
% 16.02/12.15 inference(rewrite,[status(thm)],[])).
% 16.02/12.15 tff(37480,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193')).
% 16.02/12.15 tff(37481,plain,
% 16.02/12.15 (~v1(constB193)),
% 16.02/12.15 inference(modus_ponens,[status(thm)],[37480, 37479])).
% 16.02/12.15 tff(37482,plain,
% 16.02/12.15 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193) | v1(constB193)),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37483,plain,
% 16.02/12.15 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37482, 37481])).
% 16.02/12.15 tff(37484,plain,
% 16.02/12.15 (v39(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37483, 37478])).
% 16.02/12.15 tff(37485,plain,
% 16.02/12.15 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v39(constB193)) | (~v9(constB193))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37486,plain,
% 16.02/12.15 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v9(constB193))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37485, 37484])).
% 16.02/12.15 tff(37487,plain,
% 16.02/12.15 (~((~v39(constB193)) | (~v9(constB193)))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37486, 37476])).
% 16.02/12.15 tff(37488,plain,
% 16.02/12.15 ((~(v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))) | v184(constB193) | ((~v39(constB193)) | (~v9(constB193)))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37489,plain,
% 16.02/12.15 (v184(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37488, 37487, 37436])).
% 16.02/12.15 tff(37490,plain,
% 16.02/12.15 ((v184(constB193) | v26(constB193)) | (~v184(constB193))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37491,plain,
% 16.02/12.15 (v184(constB193) | v26(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37490, 37489])).
% 16.02/12.15 tff(37492,plain,
% 16.02/12.15 ((~(v183(constB193) <=> (v184(constB193) | v26(constB193)))) | v183(constB193) | (~(v184(constB193) | v26(constB193)))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37493,plain,
% 16.02/12.15 (v183(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37492, 37491, 37434])).
% 16.02/12.15 tff(37494,plain,
% 16.02/12.15 ((~((~v182(constB193)) <=> v183(constB193))) | (~v182(constB193)) | (~v183(constB193))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37495,plain,
% 16.02/12.15 (~v182(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37494, 37493, 37432])).
% 16.02/12.15 tff(37496,plain,
% 16.02/12.15 (((~v158(constB193)) | (~v182(constB193))) | v182(constB193)),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37497,plain,
% 16.02/12.15 ((~v158(constB193)) | (~v182(constB193))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37496, 37495])).
% 16.02/12.15 tff(37498,plain,
% 16.02/12.15 ((~(v181(constB193) <=> (~((~v158(constB193)) | (~v182(constB193)))))) | (~v181(constB193)) | (~((~v158(constB193)) | (~v182(constB193))))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37499,plain,
% 16.02/12.15 (~v181(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37498, 37497, 37430])).
% 16.02/12.15 tff(37500,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193)))))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37501,plain,
% 16.02/12.15 (v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193))))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37500, 396])).
% 16.02/12.15 tff(37502,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB193) <=> (~((~v184(constB193)) | (~v160(constB193)))))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37503,plain,
% 16.02/12.15 (v187(constB193) <=> (~((~v184(constB193)) | (~v160(constB193))))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37502, 408])).
% 16.02/12.15 tff(37504,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB193) <=> v162(constB193))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37505,plain,
% 16.02/12.15 (v160(constB193) <=> v162(constB193)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37504, 549])).
% 16.02/12.15 tff(37506,plain,
% 16.02/12.15 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB193) <=> (~(v88(constB193, bitIndex2) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex0)))))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37507,plain,
% 16.02/12.15 (v141(constB193) <=> (~(v88(constB193, bitIndex2) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex0))))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37506, 564])).
% 16.02/12.15 tff(37508,plain,
% 16.02/12.15 (((~![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)))),
% 16.02/12.15 inference(rewrite,[status(thm)],[])).
% 16.02/12.15 tff(37509,plain,
% 16.02/12.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2)))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37510,plain,
% 16.02/12.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2))),
% 16.02/12.15 inference(modus_ponens,[status(thm)],[37509, 37508])).
% 16.02/12.15 tff(37511,plain,
% 16.02/12.15 (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2)),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37510, 579, 576])).
% 16.02/12.15 tff(37512,plain,
% 16.02/12.15 (((~![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))))))),
% 16.02/12.15 inference(rewrite,[status(thm)],[])).
% 16.02/12.15 tff(37513,plain,
% 16.02/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37514,plain,
% 16.02/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))),
% 16.02/12.15 inference(modus_ponens,[status(thm)],[37513, 37512])).
% 16.02/12.15 tff(37515,plain,
% 16.02/12.15 (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37514, 31537, 596])).
% 16.02/12.15 tff(37516,plain,
% 16.02/12.15 (((~![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))))))),
% 16.02/12.15 inference(rewrite,[status(thm)],[])).
% 16.02/12.15 tff(37517,plain,
% 16.02/12.15 (((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 16.02/12.15 inference(rewrite,[status(thm)],[])).
% 16.02/12.15 tff(37518,plain,
% 16.02/12.15 (((~![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)))))))),
% 16.02/12.15 inference(monotonicity,[status(thm)],[37517])).
% 16.02/12.15 tff(37519,plain,
% 16.02/12.15 (((~![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))))))),
% 16.02/12.15 inference(transitivity,[status(thm)],[37518, 37516])).
% 16.02/12.15 tff(37520,plain,
% 16.02/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))),
% 16.02/12.15 inference(quant_inst,[status(thm)],[])).
% 16.02/12.15 tff(37521,plain,
% 16.02/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))),
% 16.02/12.15 inference(modus_ponens,[status(thm)],[37520, 37519])).
% 16.02/12.15 tff(37522,plain,
% 16.02/12.15 (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37521, 31537, 616])).
% 16.02/12.15 tff(37523,plain,
% 16.02/12.15 (((~v1(constB193)) | (~v102(constB193))) | v1(constB193)),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37524,plain,
% 16.02/12.15 ((~v1(constB193)) | (~v102(constB193))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37523, 37481])).
% 16.02/12.15 tff(37525,plain,
% 16.02/12.15 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193)) | (~((~v1(constB193)) | (~v102(constB193))))),
% 16.02/12.15 inference(tautology,[status(thm)],[])).
% 16.02/12.15 tff(37526,plain,
% 16.02/12.15 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193))),
% 16.02/12.15 inference(unit_resolution,[status(thm)],[37525, 37524])).
% 16.02/12.15 tff(37527,plain,
% 16.02/12.15 (~v101(constB193)),
% 16.10/12.15 inference(unit_resolution,[status(thm)],[37526, 37522])).
% 16.10/12.15 tff(37528,plain,
% 16.10/12.15 (((~v101(constB193)) | (~v110(constB193))) | v101(constB193)),
% 16.10/12.15 inference(tautology,[status(thm)],[])).
% 16.10/12.15 tff(37529,plain,
% 16.10/12.15 ((~v101(constB193)) | (~v110(constB193))),
% 16.10/12.15 inference(unit_resolution,[status(thm)],[37528, 37527])).
% 16.10/12.15 tff(37530,plain,
% 16.10/12.15 ((~(v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))) | (~v100(constB193)) | (~((~v101(constB193)) | (~v110(constB193))))),
% 16.10/12.15 inference(tautology,[status(thm)],[])).
% 16.10/12.15 tff(37531,plain,
% 16.10/12.15 (~v100(constB193)),
% 16.10/12.15 inference(unit_resolution,[status(thm)],[37530, 37529, 37515])).
% 16.10/12.15 tff(37532,plain,
% 16.10/12.15 (((~![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))))),
% 16.10/12.15 inference(rewrite,[status(thm)],[])).
% 16.10/12.15 tff(37533,plain,
% 16.10/12.15 ((~![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))))),
% 16.10/12.15 inference(quant_inst,[status(thm)],[])).
% 16.10/12.15 tff(37534,plain,
% 16.10/12.15 ((~![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)))),
% 16.10/12.15 inference(modus_ponens,[status(thm)],[37533, 37532])).
% 16.10/12.15 tff(37535,plain,
% 16.10/12.15 (v100(constB193) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 16.10/12.15 inference(unit_resolution,[status(thm)],[37534, 31537, 645])).
% 16.10/12.15 tff(37536,plain,
% 16.10/12.15 (![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 16.10/12.15 inference(unit_resolution,[status(thm)],[37535, 37531])).
% 16.10/12.15 tff(37537,plain,
% 16.10/12.15 (((~![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)))),
% 16.10/12.15 inference(rewrite,[status(thm)],[])).
% 16.10/12.15 tff(37538,plain,
% 16.10/12.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))),
% 16.10/12.15 inference(quant_inst,[status(thm)],[])).
% 16.10/12.15 tff(37539,plain,
% 16.10/12.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2))),
% 16.10/12.15 inference(modus_ponens,[status(thm)],[37538, 37537])).
% 16.10/12.15 tff(37540,plain,
% 16.10/12.15 (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)),
% 16.10/12.15 inference(unit_resolution,[status(thm)],[37539, 579, 37536])).
% 16.10/12.15 tff(37541,plain,
% 16.10/12.15 (((~![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))))))),
% 16.10/12.15 inference(rewrite,[status(thm)],[])).
% 16.10/12.15 tff(37542,plain,
% 16.10/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37543,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))),
% 16.10/12.16 inference(modus_ponens,[status(thm)],[37542, 37541])).
% 16.10/12.16 tff(37544,plain,
% 16.10/12.16 (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37543, 31584, 596])).
% 16.10/12.16 tff(37545,plain,
% 16.10/12.16 (((~![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))))))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37546,plain,
% 16.10/12.16 (((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37547,plain,
% 16.10/12.16 (((~![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)))))))),
% 16.10/12.16 inference(monotonicity,[status(thm)],[37546])).
% 16.10/12.16 tff(37548,plain,
% 16.10/12.16 (((~![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))))))),
% 16.10/12.16 inference(transitivity,[status(thm)],[37547, 37545])).
% 16.10/12.16 tff(37549,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37550,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))),
% 16.10/12.16 inference(modus_ponens,[status(thm)],[37549, 37548])).
% 16.10/12.16 tff(37551,plain,
% 16.10/12.16 (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37550, 31584, 616])).
% 16.10/12.16 tff(37552,plain,
% 16.10/12.16 (((~![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)))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37553,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37554,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192))),
% 16.10/12.16 inference(modus_ponens,[status(thm)],[37553, 37552])).
% 16.10/12.16 tff(37555,plain,
% 16.10/12.16 ((~v102(constB192)) <=> v104(constB192)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37554, 31584, 678])).
% 16.10/12.16 tff(37556,plain,
% 16.10/12.16 (((~![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)))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37557,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37558,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191))),
% 16.10/12.16 inference(modus_ponens,[status(thm)],[37557, 37556])).
% 16.10/12.16 tff(37559,plain,
% 16.10/12.16 (v104(constB192) <=> v1(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37558, 31584, 692])).
% 16.10/12.16 tff(37560,plain,
% 16.10/12.16 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192)) | v1(constB191)),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37561,plain,
% 16.10/12.16 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37560, 31643])).
% 16.10/12.16 tff(37562,plain,
% 16.10/12.16 (~v104(constB192)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37561, 37559])).
% 16.10/12.16 tff(37563,plain,
% 16.10/12.16 ((~((~v102(constB192)) <=> v104(constB192))) | v102(constB192) | v104(constB192)),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37564,plain,
% 16.10/12.16 (v102(constB192)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37563, 37562, 37555])).
% 16.10/12.16 tff(37565,plain,
% 16.10/12.16 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v1(constB192)) | (~v102(constB192))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37566,plain,
% 16.10/12.16 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v102(constB192))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37565, 31556])).
% 16.10/12.16 tff(37567,plain,
% 16.10/12.16 (~((~v1(constB192)) | (~v102(constB192)))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37566, 37564])).
% 16.10/12.16 tff(37568,plain,
% 16.10/12.16 ((~(v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))) | v101(constB192) | ((~v1(constB192)) | (~v102(constB192)))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37569,plain,
% 16.10/12.16 (v101(constB192)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37568, 37567, 37551])).
% 16.10/12.16 tff(37570,plain,
% 16.10/12.16 (((~![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)))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37571,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37572,plain,
% 16.10/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191))),
% 16.10/12.16 inference(modus_ponens,[status(thm)],[37571, 37570])).
% 16.10/12.16 tff(37573,plain,
% 16.10/12.16 (v110(constB192) <=> v108(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37572, 31584, 722])).
% 16.10/12.16 tff(37574,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB191) <=> (v111(constB191) | v112(constB191)))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37575,plain,
% 16.10/12.16 (v108(constB191) <=> (v111(constB191) | v112(constB191))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37574, 733])).
% 16.10/12.16 tff(37576,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37577,plain,
% 16.10/12.16 (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191))))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37576, 745])).
% 16.10/12.16 tff(37578,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB191) <=> (v114(constB191) | v125(constB191)))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37579,plain,
% 16.10/12.16 (v113(constB191) <=> (v114(constB191) | v125(constB191))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37578, 754])).
% 16.10/12.16 tff(37580,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB191) <=> (v115(constB191) | v124(constB191)))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37581,plain,
% 16.10/12.16 (v114(constB191) <=> (v115(constB191) | v124(constB191))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37580, 763])).
% 16.10/12.16 tff(37582,plain,
% 16.10/12.16 (((~![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))))))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37583,plain,
% 16.10/12.16 ((v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2))))) <=> (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))),
% 16.10/12.16 inference(rewrite,[status(thm)],[])).
% 16.10/12.16 tff(37584,plain,
% 16.10/12.16 (((~![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))))))),
% 16.10/12.16 inference(monotonicity,[status(thm)],[37583])).
% 16.10/12.16 tff(37585,plain,
% 16.10/12.16 (((~![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))))))),
% 16.10/12.16 inference(transitivity,[status(thm)],[37584, 37582])).
% 16.10/12.16 tff(37586,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37587,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))),
% 16.10/12.16 inference(modus_ponens,[status(thm)],[37586, 37585])).
% 16.10/12.16 tff(37588,plain,
% 16.10/12.16 (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37587, 2651])).
% 16.10/12.16 tff(37589,plain,
% 16.10/12.16 ((~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))) | (~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37590,plain,
% 16.10/12.16 (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37589, 32781, 32744, 32664])).
% 16.10/12.16 tff(37591,plain,
% 16.10/12.16 ((~(v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))) | v124(constB191) | ((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37592,plain,
% 16.10/12.16 (v124(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37591, 37590, 37588])).
% 16.10/12.16 tff(37593,plain,
% 16.10/12.16 ((v115(constB191) | v124(constB191)) | (~v124(constB191))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37594,plain,
% 16.10/12.16 (v115(constB191) | v124(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37593, 37592])).
% 16.10/12.16 tff(37595,plain,
% 16.10/12.16 ((~(v114(constB191) <=> (v115(constB191) | v124(constB191)))) | v114(constB191) | (~(v115(constB191) | v124(constB191)))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37596,plain,
% 16.10/12.16 (v114(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37595, 37594, 37581])).
% 16.10/12.16 tff(37597,plain,
% 16.10/12.16 ((v114(constB191) | v125(constB191)) | (~v114(constB191))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37598,plain,
% 16.10/12.16 (v114(constB191) | v125(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37597, 37596])).
% 16.10/12.16 tff(37599,plain,
% 16.10/12.16 ((~(v113(constB191) <=> (v114(constB191) | v125(constB191)))) | v113(constB191) | (~(v114(constB191) | v125(constB191)))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37600,plain,
% 16.10/12.16 (v113(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37599, 37598, 37579])).
% 16.10/12.16 tff(37601,plain,
% 16.10/12.16 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB191)) <=> v111(constB191))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37602,plain,
% 16.10/12.16 ((~v126(constB191)) <=> v111(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37601, 1345])).
% 16.10/12.16 tff(37603,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB191) <=> v26(constB191))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37604,plain,
% 16.10/12.16 (v111(constB191) <=> v26(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37603, 1357])).
% 16.10/12.16 tff(37605,plain,
% 16.10/12.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 16.10/12.16 inference(quant_inst,[status(thm)],[])).
% 16.10/12.16 tff(37606,plain,
% 16.10/12.16 (~v26(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37605, 1369])).
% 16.10/12.16 tff(37607,plain,
% 16.10/12.16 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191)) | v26(constB191)),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37608,plain,
% 16.10/12.16 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37607, 37606])).
% 16.10/12.16 tff(37609,plain,
% 16.10/12.16 (~v111(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37608, 37604])).
% 16.10/12.16 tff(37610,plain,
% 16.10/12.16 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191) | v111(constB191)),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37611,plain,
% 16.10/12.16 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37610, 37609])).
% 16.10/12.16 tff(37612,plain,
% 16.10/12.16 (v126(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37611, 37602])).
% 16.10/12.16 tff(37613,plain,
% 16.10/12.16 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191)) | (~v126(constB191))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37614,plain,
% 16.10/12.16 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37613, 37612])).
% 16.10/12.16 tff(37615,plain,
% 16.10/12.16 (~((~v113(constB191)) | (~v126(constB191)))),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37614, 37600])).
% 16.10/12.16 tff(37616,plain,
% 16.10/12.16 ((~(v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))) | v112(constB191) | ((~v113(constB191)) | (~v126(constB191)))),
% 16.10/12.16 inference(tautology,[status(thm)],[])).
% 16.10/12.16 tff(37617,plain,
% 16.10/12.16 (v112(constB191)),
% 16.10/12.16 inference(unit_resolution,[status(thm)],[37616, 37615, 37577])).
% 16.10/12.16 tff(37618,plain,
% 16.10/12.17 ((v111(constB191) | v112(constB191)) | (~v112(constB191))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37619,plain,
% 16.10/12.17 (v111(constB191) | v112(constB191)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37618, 37617])).
% 16.10/12.17 tff(37620,plain,
% 16.10/12.17 ((~(v108(constB191) <=> (v111(constB191) | v112(constB191)))) | v108(constB191) | (~(v111(constB191) | v112(constB191)))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37621,plain,
% 16.10/12.17 (v108(constB191)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37620, 37619, 37575])).
% 16.10/12.17 tff(37622,plain,
% 16.10/12.17 ((~(v110(constB192) <=> v108(constB191))) | v110(constB192) | (~v108(constB191))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37623,plain,
% 16.10/12.17 (v110(constB192)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37622, 37621, 37573])).
% 16.10/12.17 tff(37624,plain,
% 16.10/12.17 ((~((~v101(constB192)) | (~v110(constB192)))) | (~v101(constB192)) | (~v110(constB192))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37625,plain,
% 16.10/12.17 (~((~v101(constB192)) | (~v110(constB192)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37624, 37623, 37569])).
% 16.10/12.17 tff(37626,plain,
% 16.10/12.17 ((~(v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))) | v100(constB192) | ((~v101(constB192)) | (~v110(constB192)))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37627,plain,
% 16.10/12.17 (v100(constB192)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37626, 37625, 37544])).
% 16.10/12.17 tff(37628,plain,
% 16.10/12.17 (((~![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))))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37629,plain,
% 16.10/12.17 ((~![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))))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37630,plain,
% 16.10/12.17 ((~![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)))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37629, 37628])).
% 16.10/12.17 tff(37631,plain,
% 16.10/12.17 ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37630, 1405])).
% 16.10/12.17 tff(37632,plain,
% 16.10/12.17 (![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37631, 37627])).
% 16.10/12.17 tff(37633,plain,
% 16.10/12.17 (((~![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)))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37634,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37635,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37634, 37633])).
% 16.10/12.17 tff(37636,plain,
% 16.10/12.17 (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37635, 579, 37632])).
% 16.10/12.17 tff(37637,plain,
% 16.10/12.17 (((~![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))))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37638,plain,
% 16.10/12.17 ((~![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))))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37639,plain,
% 16.10/12.17 ((~![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)))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37638, 37637])).
% 16.10/12.17 tff(37640,plain,
% 16.10/12.17 (![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37639, 31584, 1427])).
% 16.10/12.17 tff(37641,plain,
% 16.10/12.17 (((~![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)))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37642,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37643,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37642, 37641])).
% 16.10/12.17 tff(37644,plain,
% 16.10/12.17 (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37643, 579, 37640])).
% 16.10/12.17 tff(37645,plain,
% 16.10/12.17 (((~![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))))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37646,plain,
% 16.10/12.17 ((~![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))))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37647,plain,
% 16.10/12.17 ((~![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)))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37646, 37645])).
% 16.10/12.17 tff(37648,plain,
% 16.10/12.17 (![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37647, 1448, 37609])).
% 16.10/12.17 tff(37649,plain,
% 16.10/12.17 (((~![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)))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37650,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37651,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37650, 37649])).
% 16.10/12.17 tff(37652,plain,
% 16.10/12.17 (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37651, 579, 37648])).
% 16.10/12.17 tff(37653,plain,
% 16.10/12.17 (((~![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))))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37654,plain,
% 16.10/12.17 ((~![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))))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37655,plain,
% 16.10/12.17 ((~![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)))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37654, 37653])).
% 16.10/12.17 tff(37656,plain,
% 16.10/12.17 ((~v124(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37655, 2735])).
% 16.10/12.17 tff(37657,plain,
% 16.10/12.17 (![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37656, 37592])).
% 16.10/12.17 tff(37658,plain,
% 16.10/12.17 (((~![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)))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37659,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b110(bitIndex2)))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37660,plain,
% 16.10/12.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b110(bitIndex2))),
% 16.10/12.17 inference(modus_ponens,[status(thm)],[37659, 37658])).
% 16.10/12.17 tff(37661,plain,
% 16.10/12.17 (v130(constB191, bitIndex2) <=> b110(bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37660, 579, 37657])).
% 16.10/12.17 tff(37662,plain,
% 16.10/12.17 ((~(v130(constB191, bitIndex2) <=> b110(bitIndex2))) | v130(constB191, bitIndex2) | (~b110(bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37663,plain,
% 16.10/12.17 ((~(v130(constB191, bitIndex2) <=> b110(bitIndex2))) | v130(constB191, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37662, 2747])).
% 16.10/12.17 tff(37664,plain,
% 16.10/12.17 (v130(constB191, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37663, 37661])).
% 16.10/12.17 tff(37665,plain,
% 16.10/12.17 ((~(v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2))) | v127(constB191, bitIndex2) | (~v130(constB191, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37666,plain,
% 16.10/12.17 (v127(constB191, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37665, 37664, 37652])).
% 16.10/12.17 tff(37667,plain,
% 16.10/12.17 ((~(v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2))) | v129(constB192, bitIndex2) | (~v127(constB191, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37668,plain,
% 16.10/12.17 (v129(constB192, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37667, 37666, 37644])).
% 16.10/12.17 tff(37669,plain,
% 16.10/12.17 ((~(v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37670,plain,
% 16.10/12.17 (v90(constB192, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37669, 37668, 37636])).
% 16.10/12.17 tff(37671,plain,
% 16.10/12.17 ((~(v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2))) | v90(constB193, bitIndex2) | (~v90(constB192, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37672,plain,
% 16.10/12.17 (v90(constB193, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37671, 37670, 37540])).
% 16.10/12.17 tff(37673,plain,
% 16.10/12.17 ((~(v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2))) | v88(constB193, bitIndex2) | (~v90(constB193, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37674,plain,
% 16.10/12.17 (v88(constB193, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37673, 37672, 37511])).
% 16.10/12.17 tff(37675,plain,
% 16.10/12.17 ((v88(constB193, bitIndex2) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex0))) | (~v88(constB193, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37676,plain,
% 16.10/12.17 (v88(constB193, bitIndex2) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex0))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37675, 37674])).
% 16.10/12.17 tff(37677,plain,
% 16.10/12.17 ((~(v141(constB193) <=> (~(v88(constB193, bitIndex2) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex0)))))) | (~v141(constB193)) | (~(v88(constB193, bitIndex2) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex0))))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37678,plain,
% 16.10/12.17 (~v141(constB193)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37677, 37676, 37507])).
% 16.10/12.17 tff(37679,plain,
% 16.10/12.17 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB193) <=> (v139(constB193) | v140(constB193)))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37680,plain,
% 16.10/12.17 (v170(constB193) <=> (v139(constB193) | v140(constB193))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37679, 2216])).
% 16.10/12.17 tff(37681,plain,
% 16.10/12.17 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2))))),
% 16.10/12.17 inference(quant_inst,[status(thm)],[])).
% 16.10/12.17 tff(37682,plain,
% 16.10/12.17 (v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)))),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37681, 2231])).
% 16.10/12.17 tff(37683,plain,
% 16.10/12.17 ((v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex2))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37684,plain,
% 16.10/12.17 (v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37683, 37674])).
% 16.10/12.17 tff(37685,plain,
% 16.10/12.17 ((~(v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2))))) | (~v139(constB193)) | (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)))),
% 16.10/12.17 inference(tautology,[status(thm)],[])).
% 16.10/12.17 tff(37686,plain,
% 16.10/12.17 (~v139(constB193)),
% 16.10/12.17 inference(unit_resolution,[status(thm)],[37685, 37684, 37682])).
% 16.10/12.17 tff(37687,plain,
% 16.10/12.17 (((~![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))))))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37688,plain,
% 16.10/12.17 ((v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0))))) <=> (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))),
% 16.10/12.17 inference(rewrite,[status(thm)],[])).
% 16.10/12.17 tff(37689,plain,
% 16.10/12.17 (((~![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))))))),
% 16.10/12.17 inference(monotonicity,[status(thm)],[37688])).
% 16.10/12.17 tff(37690,plain,
% 16.10/12.17 (((~![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))))))),
% 16.10/12.18 inference(transitivity,[status(thm)],[37689, 37687])).
% 16.10/12.18 tff(37691,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0)))))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37692,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37691, 37690])).
% 16.10/12.18 tff(37693,plain,
% 16.10/12.18 (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37692, 2250])).
% 16.10/12.18 tff(37694,plain,
% 16.10/12.18 ((v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))) | (~v88(constB193, bitIndex2))),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37695,plain,
% 16.10/12.18 (v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37694, 37674])).
% 16.10/12.18 tff(37696,plain,
% 16.10/12.18 ((~(v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))) | (~v140(constB193)) | (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37697,plain,
% 16.10/12.18 (~v140(constB193)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37696, 37695, 37693])).
% 16.10/12.18 tff(37698,plain,
% 16.10/12.18 ((~(v139(constB193) | v140(constB193))) | v139(constB193) | v140(constB193)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37699,plain,
% 16.10/12.18 (~(v139(constB193) | v140(constB193))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37698, 37697, 37686])).
% 16.10/12.18 tff(37700,plain,
% 16.10/12.18 ((~(v170(constB193) <=> (v139(constB193) | v140(constB193)))) | (~v170(constB193)) | (v139(constB193) | v140(constB193))),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37701,plain,
% 16.10/12.18 (~v170(constB193)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37700, 37699, 37680])).
% 16.10/12.18 tff(37702,plain,
% 16.10/12.18 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB193) | v170(constB193) | (~v169(constB193)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB193) | v170(constB193) | (~v169(constB193)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37703,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB193) | v170(constB193) | (~v169(constB193)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37704,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB193) | v170(constB193) | (~v169(constB193))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37703, 37702])).
% 16.10/12.18 tff(37705,plain,
% 16.10/12.18 (v141(constB193) | v170(constB193) | (~v169(constB193))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37704, 2278])).
% 16.10/12.18 tff(37706,plain,
% 16.10/12.18 (~v169(constB193)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37705, 37701, 37678])).
% 16.10/12.18 tff(37707,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB193) <=> (v145(constB193) | v166(constB193)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37708,plain,
% 16.10/12.18 (v165(constB193) <=> (v145(constB193) | v166(constB193))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37707, 2293])).
% 16.10/12.18 tff(37709,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB193) <=> (v142(constB193) | v167(constB193)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37710,plain,
% 16.10/12.18 (v166(constB193) <=> (v142(constB193) | v167(constB193))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37709, 2804])).
% 16.10/12.18 tff(37711,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB193) <=> (v143(constB193) | v144(constB193)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37712,plain,
% 16.10/12.18 (v142(constB193) <=> (v143(constB193) | v144(constB193))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37711, 2813])).
% 16.10/12.18 tff(37713,plain,
% 16.10/12.18 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1))))))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37714,plain,
% 16.10/12.18 ((v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2))))) <=> (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37715,plain,
% 16.10/12.18 (((~![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, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1))))))),
% 16.10/12.18 inference(monotonicity,[status(thm)],[37714])).
% 16.10/12.18 tff(37716,plain,
% 16.10/12.18 (((~![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, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1))))))),
% 16.10/12.18 inference(transitivity,[status(thm)],[37715, 37713])).
% 16.10/12.18 tff(37717,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37718,plain,
% 16.10/12.18 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37717, 37716])).
% 16.10/12.18 tff(37719,plain,
% 16.10/12.18 (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1))))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37718, 2828])).
% 16.10/12.18 tff(37720,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37721,plain,
% 16.10/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37722,plain,
% 16.10/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37721, 37720])).
% 16.10/12.18 tff(37723,plain,
% 16.10/12.18 (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37722, 1275, 576])).
% 16.10/12.18 tff(37724,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37725,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37726,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37725, 37724])).
% 16.10/12.18 tff(37727,plain,
% 16.10/12.18 (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37726, 1275, 37536])).
% 16.10/12.18 tff(37728,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37729,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37730,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37729, 37728])).
% 16.10/12.18 tff(37731,plain,
% 16.10/12.18 (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37730, 1275, 37632])).
% 16.10/12.18 tff(37732,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37733,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37734,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37733, 37732])).
% 16.10/12.18 tff(37735,plain,
% 16.10/12.18 (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37734, 1275, 37640])).
% 16.10/12.18 tff(37736,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37737,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37738,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37737, 37736])).
% 16.10/12.18 tff(37739,plain,
% 16.10/12.18 (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37738, 1275, 37648])).
% 16.10/12.18 tff(37740,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37741,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b110(bitIndex0)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37742,plain,
% 16.10/12.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b110(bitIndex0))),
% 16.10/12.18 inference(modus_ponens,[status(thm)],[37741, 37740])).
% 16.10/12.18 tff(37743,plain,
% 16.10/12.18 (v130(constB191, bitIndex0) <=> b110(bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37742, 1275, 37657])).
% 16.10/12.18 tff(37744,plain,
% 16.10/12.18 ((~(v130(constB191, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB191, bitIndex0)) | b110(bitIndex0)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37745,plain,
% 16.10/12.18 ((~(v130(constB191, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB191, bitIndex0))),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37744, 2862])).
% 16.10/12.18 tff(37746,plain,
% 16.10/12.18 (~v130(constB191, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37745, 37743])).
% 16.10/12.18 tff(37747,plain,
% 16.10/12.18 ((~(v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0))) | (~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37748,plain,
% 16.10/12.18 (~v127(constB191, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37747, 37746, 37739])).
% 16.10/12.18 tff(37749,plain,
% 16.10/12.18 ((~(v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0))) | (~v129(constB192, bitIndex0)) | v127(constB191, bitIndex0)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37750,plain,
% 16.10/12.18 (~v129(constB192, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37749, 37748, 37735])).
% 16.10/12.18 tff(37751,plain,
% 16.10/12.18 ((~(v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37752,plain,
% 16.10/12.18 (~v90(constB192, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37751, 37750, 37731])).
% 16.10/12.18 tff(37753,plain,
% 16.10/12.18 ((~(v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0))) | (~v90(constB193, bitIndex0)) | v90(constB192, bitIndex0)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37754,plain,
% 16.10/12.18 (~v90(constB193, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37753, 37752, 37727])).
% 16.10/12.18 tff(37755,plain,
% 16.10/12.18 ((~(v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0))) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0)),
% 16.10/12.18 inference(tautology,[status(thm)],[])).
% 16.10/12.18 tff(37756,plain,
% 16.10/12.18 (~v88(constB193, bitIndex0)),
% 16.10/12.18 inference(unit_resolution,[status(thm)],[37755, 37754, 37723])).
% 16.10/12.18 tff(37757,plain,
% 16.10/12.18 (((~![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)))),
% 16.10/12.18 inference(rewrite,[status(thm)],[])).
% 16.10/12.18 tff(37758,plain,
% 16.10/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1)))),
% 16.10/12.18 inference(quant_inst,[status(thm)],[])).
% 16.10/12.18 tff(37759,plain,
% 16.10/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1))),
% 16.10/12.19 inference(modus_ponens,[status(thm)],[37758, 37757])).
% 16.10/12.19 tff(37760,plain,
% 16.10/12.19 (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1)),
% 16.10/12.19 inference(unit_resolution,[status(thm)],[37759, 1288, 576])).
% 16.10/12.19 tff(37761,plain,
% 16.10/12.19 (((~![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)))),
% 16.10/12.19 inference(rewrite,[status(thm)],[])).
% 16.10/12.19 tff(37762,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))),
% 16.10/12.19 inference(quant_inst,[status(thm)],[])).
% 16.10/12.19 tff(37763,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1))),
% 16.10/12.19 inference(modus_ponens,[status(thm)],[37762, 37761])).
% 16.10/12.19 tff(37764,plain,
% 16.10/12.19 (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)),
% 16.10/12.19 inference(unit_resolution,[status(thm)],[37763, 1288, 37536])).
% 16.10/12.19 tff(37765,plain,
% 16.10/12.19 (((~![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)))),
% 16.10/12.19 inference(rewrite,[status(thm)],[])).
% 16.10/12.19 tff(37766,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))),
% 16.10/12.19 inference(quant_inst,[status(thm)],[])).
% 16.10/12.19 tff(37767,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1))),
% 16.10/12.19 inference(modus_ponens,[status(thm)],[37766, 37765])).
% 16.10/12.19 tff(37768,plain,
% 16.10/12.19 (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)),
% 16.10/12.19 inference(unit_resolution,[status(thm)],[37767, 1288, 37632])).
% 16.10/12.19 tff(37769,plain,
% 16.10/12.19 (((~![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)))),
% 16.10/12.19 inference(rewrite,[status(thm)],[])).
% 16.10/12.19 tff(37770,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))),
% 16.10/12.19 inference(quant_inst,[status(thm)],[])).
% 16.10/12.19 tff(37771,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1))),
% 16.10/12.19 inference(modus_ponens,[status(thm)],[37770, 37769])).
% 16.10/12.19 tff(37772,plain,
% 16.10/12.19 (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)),
% 16.10/12.19 inference(unit_resolution,[status(thm)],[37771, 1288, 37640])).
% 16.10/12.19 tff(37773,plain,
% 16.10/12.19 (((~![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)))),
% 16.10/12.19 inference(rewrite,[status(thm)],[])).
% 16.10/12.19 tff(37774,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))),
% 16.10/12.19 inference(quant_inst,[status(thm)],[])).
% 16.10/12.19 tff(37775,plain,
% 16.10/12.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1))),
% 16.10/12.19 inference(modus_ponens,[status(thm)],[37774, 37773])).
% 16.14/12.19 tff(37776,plain,
% 16.14/12.19 (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37775, 1288, 37648])).
% 16.14/12.19 tff(37777,plain,
% 16.14/12.19 (((~![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)))),
% 16.14/12.19 inference(rewrite,[status(thm)],[])).
% 16.14/12.19 tff(37778,plain,
% 16.14/12.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b110(bitIndex1)))),
% 16.14/12.19 inference(quant_inst,[status(thm)],[])).
% 16.14/12.19 tff(37779,plain,
% 16.14/12.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b110(bitIndex1))),
% 16.14/12.19 inference(modus_ponens,[status(thm)],[37778, 37777])).
% 16.14/12.19 tff(37780,plain,
% 16.14/12.19 (v130(constB191, bitIndex1) <=> b110(bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37779, 1288, 37657])).
% 16.14/12.19 tff(37781,plain,
% 16.14/12.19 ((~(v130(constB191, bitIndex1) <=> b110(bitIndex1))) | v130(constB191, bitIndex1) | (~b110(bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37782,plain,
% 16.14/12.19 ((~(v130(constB191, bitIndex1) <=> b110(bitIndex1))) | v130(constB191, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37781, 2902])).
% 16.14/12.19 tff(37783,plain,
% 16.14/12.19 (v130(constB191, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37782, 37780])).
% 16.14/12.19 tff(37784,plain,
% 16.14/12.19 ((~(v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1))) | v127(constB191, bitIndex1) | (~v130(constB191, bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37785,plain,
% 16.14/12.19 (v127(constB191, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37784, 37783, 37776])).
% 16.14/12.19 tff(37786,plain,
% 16.14/12.19 ((~(v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1))) | v129(constB192, bitIndex1) | (~v127(constB191, bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37787,plain,
% 16.14/12.19 (v129(constB192, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37786, 37785, 37772])).
% 16.14/12.19 tff(37788,plain,
% 16.14/12.19 ((~(v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37789,plain,
% 16.14/12.19 (v90(constB192, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37788, 37787, 37768])).
% 16.14/12.19 tff(37790,plain,
% 16.14/12.19 ((~(v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1))) | v90(constB193, bitIndex1) | (~v90(constB192, bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37791,plain,
% 16.14/12.19 (v90(constB193, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37790, 37789, 37764])).
% 16.14/12.19 tff(37792,plain,
% 16.14/12.19 ((~(v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1))) | v88(constB193, bitIndex1) | (~v90(constB193, bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37793,plain,
% 16.14/12.19 (v88(constB193, bitIndex1)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37792, 37791, 37760])).
% 16.14/12.19 tff(37794,plain,
% 16.14/12.19 ((~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37795,plain,
% 16.14/12.19 (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37794, 37793, 37756, 37674])).
% 16.14/12.19 tff(37796,plain,
% 16.14/12.19 ((~(v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))))) | v144(constB193) | (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37797,plain,
% 16.14/12.19 (v144(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37796, 37795, 37719])).
% 16.14/12.19 tff(37798,plain,
% 16.14/12.19 ((v143(constB193) | v144(constB193)) | (~v144(constB193))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37799,plain,
% 16.14/12.19 (v143(constB193) | v144(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37798, 37797])).
% 16.14/12.19 tff(37800,plain,
% 16.14/12.19 ((~(v142(constB193) <=> (v143(constB193) | v144(constB193)))) | v142(constB193) | (~(v143(constB193) | v144(constB193)))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37801,plain,
% 16.14/12.19 (v142(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37800, 37799, 37712])).
% 16.14/12.19 tff(37802,plain,
% 16.14/12.19 ((v142(constB193) | v167(constB193)) | (~v142(constB193))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37803,plain,
% 16.14/12.19 (v142(constB193) | v167(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37802, 37801])).
% 16.14/12.19 tff(37804,plain,
% 16.14/12.19 ((~(v166(constB193) <=> (v142(constB193) | v167(constB193)))) | v166(constB193) | (~(v142(constB193) | v167(constB193)))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37805,plain,
% 16.14/12.19 (v166(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37804, 37803, 37710])).
% 16.14/12.19 tff(37806,plain,
% 16.14/12.19 ((v145(constB193) | v166(constB193)) | (~v166(constB193))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37807,plain,
% 16.14/12.19 (v145(constB193) | v166(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37806, 37805])).
% 16.14/12.19 tff(37808,plain,
% 16.14/12.19 ((~(v165(constB193) <=> (v145(constB193) | v166(constB193)))) | v165(constB193) | (~(v145(constB193) | v166(constB193)))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37809,plain,
% 16.14/12.19 (v165(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37808, 37807, 37708])).
% 16.14/12.19 tff(37810,plain,
% 16.14/12.19 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB193)) | (v162(constB193) <=> v169(constB193)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB193)) | (v162(constB193) <=> v169(constB193)))),
% 16.14/12.19 inference(rewrite,[status(thm)],[])).
% 16.14/12.19 tff(37811,plain,
% 16.14/12.19 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB193)) | (v162(constB193) <=> v169(constB193)))),
% 16.14/12.19 inference(quant_inst,[status(thm)],[])).
% 16.14/12.19 tff(37812,plain,
% 16.14/12.19 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB193)) | (v162(constB193) <=> v169(constB193))),
% 16.14/12.19 inference(modus_ponens,[status(thm)],[37811, 37810])).
% 16.14/12.19 tff(37813,plain,
% 16.14/12.19 ((~v165(constB193)) | (v162(constB193) <=> v169(constB193))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37812, 2426])).
% 16.14/12.19 tff(37814,plain,
% 16.14/12.19 (v162(constB193) <=> v169(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37813, 37809])).
% 16.14/12.19 tff(37815,plain,
% 16.14/12.19 ((~(v162(constB193) <=> v169(constB193))) | (~v162(constB193)) | v169(constB193)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37816,plain,
% 16.14/12.19 (~v162(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37815, 37814, 37706])).
% 16.14/12.19 tff(37817,plain,
% 16.14/12.19 ((~(v160(constB193) <=> v162(constB193))) | (~v160(constB193)) | v162(constB193)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37818,plain,
% 16.14/12.19 ((~(v160(constB193) <=> v162(constB193))) | (~v160(constB193))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37817, 37816])).
% 16.14/12.19 tff(37819,plain,
% 16.14/12.19 (~v160(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37818, 37505])).
% 16.14/12.19 tff(37820,plain,
% 16.14/12.19 (((~v184(constB193)) | (~v160(constB193))) | v160(constB193)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37821,plain,
% 16.14/12.19 ((~v184(constB193)) | (~v160(constB193))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37820, 37819])).
% 16.14/12.19 tff(37822,plain,
% 16.14/12.19 ((~(v187(constB193) <=> (~((~v184(constB193)) | (~v160(constB193)))))) | (~v187(constB193)) | (~((~v184(constB193)) | (~v160(constB193))))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37823,plain,
% 16.14/12.19 (~v187(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37822, 37821, 37503])).
% 16.14/12.19 tff(37824,plain,
% 16.14/12.19 (((~v186(constB193)) | (~v187(constB193))) | v187(constB193)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37825,plain,
% 16.14/12.19 ((~v186(constB193)) | (~v187(constB193))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37824, 37823])).
% 16.14/12.19 tff(37826,plain,
% 16.14/12.19 ((~(v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193)))))) | (~v185(constB193)) | (~((~v186(constB193)) | (~v187(constB193))))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37827,plain,
% 16.14/12.19 (~v185(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37826, 37825, 37501])).
% 16.14/12.19 tff(37828,plain,
% 16.14/12.19 ((~(v181(constB193) | v185(constB193))) | v181(constB193) | v185(constB193)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37829,plain,
% 16.14/12.19 (~(v181(constB193) | v185(constB193))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37828, 37827, 37499])).
% 16.14/12.19 tff(37830,plain,
% 16.14/12.19 ((~(v178(constB193) <=> (v181(constB193) | v185(constB193)))) | (~v178(constB193)) | (v181(constB193) | v185(constB193))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37831,plain,
% 16.14/12.19 (~v178(constB193)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37830, 37829, 37423])).
% 16.14/12.19 tff(37832,plain,
% 16.14/12.19 ((~(v180(constB194) <=> v178(constB193))) | (~v180(constB194)) | v178(constB193)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37833,plain,
% 16.14/12.19 (~v180(constB194)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37832, 37831, 37421])).
% 16.14/12.19 tff(37834,plain,
% 16.14/12.19 ((~(v158(constB194) <=> v180(constB194))) | (~v158(constB194)) | v180(constB194)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37835,plain,
% 16.14/12.19 (~v158(constB194)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37834, 37833, 37414])).
% 16.14/12.19 tff(37836,plain,
% 16.14/12.19 (((~v158(constB194)) | (~v182(constB194))) | v158(constB194)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37837,plain,
% 16.14/12.19 ((~v158(constB194)) | (~v182(constB194))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37836, 37835])).
% 16.14/12.19 tff(37838,plain,
% 16.14/12.19 ((~(v181(constB194) <=> (~((~v158(constB194)) | (~v182(constB194)))))) | (~v181(constB194)) | (~((~v158(constB194)) | (~v182(constB194))))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37839,plain,
% 16.14/12.19 (~v181(constB194)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37838, 37837, 37412])).
% 16.14/12.19 tff(37840,plain,
% 16.14/12.19 ((~(v181(constB194) | v185(constB194))) | v181(constB194) | v185(constB194)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37841,plain,
% 16.14/12.19 (~(v181(constB194) | v185(constB194))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37840, 37839, 37405])).
% 16.14/12.19 tff(37842,plain,
% 16.14/12.19 ((~(v178(constB194) <=> (v181(constB194) | v185(constB194)))) | (~v178(constB194)) | (v181(constB194) | v185(constB194))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37843,plain,
% 16.14/12.19 (~v178(constB194)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37842, 37841, 37377])).
% 16.14/12.19 tff(37844,plain,
% 16.14/12.19 ((~(v180(constB195) <=> v178(constB194))) | (~v180(constB195)) | v178(constB194)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37845,plain,
% 16.14/12.19 (~v180(constB195)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37844, 37843, 37375])).
% 16.14/12.19 tff(37846,plain,
% 16.14/12.19 ((~(v158(constB195) <=> v180(constB195))) | (~v158(constB195)) | v180(constB195)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37847,plain,
% 16.14/12.19 (~v158(constB195)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37846, 37845, 37368])).
% 16.14/12.19 tff(37848,plain,
% 16.14/12.19 (((~v158(constB195)) | (~v199(constB195))) | v158(constB195)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37849,plain,
% 16.14/12.19 ((~v158(constB195)) | (~v199(constB195))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37848, 37847])).
% 16.14/12.19 tff(37850,plain,
% 16.14/12.19 ((~(v198(constB195) <=> (~((~v158(constB195)) | (~v199(constB195)))))) | (~v198(constB195)) | (~((~v158(constB195)) | (~v199(constB195))))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37851,plain,
% 16.14/12.19 (~v198(constB195)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37850, 37849, 37366])).
% 16.14/12.19 tff(37852,plain,
% 16.14/12.19 ((~(v197(constB195) | v198(constB195))) | v197(constB195) | v198(constB195)),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37853,plain,
% 16.14/12.19 (~(v197(constB195) | v198(constB195))),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37852, 37851, 37364])).
% 16.14/12.19 tff(37854,plain,
% 16.14/12.19 ((~(v194(constB195) <=> (v197(constB195) | v198(constB195)))) | (~v194(constB195)) | (v197(constB195) | v198(constB195))),
% 16.14/12.19 inference(tautology,[status(thm)],[])).
% 16.14/12.19 tff(37855,plain,
% 16.14/12.19 (~v194(constB195)),
% 16.14/12.19 inference(unit_resolution,[status(thm)],[37854, 37853, 37293])).
% 16.14/12.19 tff(37856,plain,
% 16.14/12.20 ((~(v196(constB196) <=> v194(constB195))) | (~v196(constB196)) | v194(constB195)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37857,plain,
% 16.14/12.20 (~v196(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37856, 37855, 37291])).
% 16.14/12.20 tff(37858,plain,
% 16.14/12.20 ((~(v191(constB196) <=> v196(constB196))) | (~v191(constB196)) | v196(constB196)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37859,plain,
% 16.14/12.20 (~v191(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37858, 37857, 37284])).
% 16.14/12.20 tff(37860,plain,
% 16.14/12.20 (((~v182(constB196)) | (~v191(constB196))) | v191(constB196)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37861,plain,
% 16.14/12.20 ((~v182(constB196)) | (~v191(constB196))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37860, 37859])).
% 16.14/12.20 tff(37862,plain,
% 16.14/12.20 ((~(v197(constB196) <=> (~((~v182(constB196)) | (~v191(constB196)))))) | (~v197(constB196)) | (~((~v182(constB196)) | (~v191(constB196))))),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37863,plain,
% 16.14/12.20 (~v197(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37862, 37861, 37282])).
% 16.14/12.20 tff(37864,plain,
% 16.14/12.20 ((~(v197(constB196) | v198(constB196))) | v197(constB196) | v198(constB196)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37865,plain,
% 16.14/12.20 (~(v197(constB196) | v198(constB196))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37864, 37863, 37280])).
% 16.14/12.20 tff(37866,plain,
% 16.14/12.20 ((~(v194(constB196) <=> (v197(constB196) | v198(constB196)))) | (~v194(constB196)) | (v197(constB196) | v198(constB196))),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37867,plain,
% 16.14/12.20 (~v194(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37866, 37865, 37246])).
% 16.14/12.20 tff(37868,plain,
% 16.14/12.20 ((~(v196(constB197) <=> v194(constB196))) | (~v196(constB197)) | v194(constB196)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37869,plain,
% 16.14/12.20 (~v196(constB197)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37868, 37867, 37244])).
% 16.14/12.20 tff(37870,plain,
% 16.14/12.20 ((~(v191(constB197) <=> v196(constB197))) | (~v191(constB197)) | v196(constB197)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37871,plain,
% 16.14/12.20 (~v191(constB197)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37870, 37869, 37237])).
% 16.14/12.20 tff(37872,plain,
% 16.14/12.20 (((~v191(constB197)) | (~v206(constB197))) | v191(constB197)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37873,plain,
% 16.14/12.20 ((~v191(constB197)) | (~v206(constB197))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37872, 37871])).
% 16.14/12.20 tff(37874,plain,
% 16.14/12.20 ((~(v209(constB197) <=> (~((~v191(constB197)) | (~v206(constB197)))))) | (~v209(constB197)) | (~((~v191(constB197)) | (~v206(constB197))))),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37875,plain,
% 16.14/12.20 (~v209(constB197)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37874, 37873, 37235])).
% 16.14/12.20 tff(37876,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197))))))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37877,plain,
% 16.14/12.20 ((v205(constB197) <=> (~((~v206(constB197)) | (~v158(constB197))))) <=> (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197)))))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37878,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v206(constB197)) | (~v158(constB197)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197))))))),
% 16.14/12.20 inference(monotonicity,[status(thm)],[37877])).
% 16.14/12.20 tff(37879,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v206(constB197)) | (~v158(constB197)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197))))))),
% 16.14/12.20 inference(transitivity,[status(thm)],[37878, 37876])).
% 16.14/12.20 tff(37880,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v206(constB197)) | (~v158(constB197)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37881,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197)))))),
% 16.14/12.20 inference(modus_ponens,[status(thm)],[37880, 37879])).
% 16.14/12.20 tff(37882,plain,
% 16.14/12.20 (v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37881, 2502])).
% 16.14/12.20 tff(37883,plain,
% 16.14/12.20 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB197) <=> v180(constB197))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37884,plain,
% 16.14/12.20 (v158(constB197) <=> v180(constB197)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37883, 358])).
% 16.14/12.20 tff(37885,plain,
% 16.14/12.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB196, constB197)) | (v180(constB197) <=> v178(constB196)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB196, constB197)) | (v180(constB197) <=> v178(constB196)))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37886,plain,
% 16.14/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB196, constB197)) | (v180(constB197) <=> v178(constB196)))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37887,plain,
% 16.14/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB196, constB197)) | (v180(constB197) <=> v178(constB196))),
% 16.14/12.20 inference(modus_ponens,[status(thm)],[37886, 37885])).
% 16.14/12.20 tff(37888,plain,
% 16.14/12.20 (v180(constB197) <=> v178(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37887, 37240, 370])).
% 16.14/12.20 tff(37889,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB196) <=> (v181(constB196) | v185(constB196)))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37890,plain,
% 16.14/12.20 (v178(constB196) <=> (v181(constB196) | v185(constB196))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37889, 384])).
% 16.14/12.20 tff(37891,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB196) <=> (~((~v186(constB196)) | (~v187(constB196)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37892,plain,
% 16.14/12.20 (v185(constB196) <=> (~((~v186(constB196)) | (~v187(constB196))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37891, 396])).
% 16.14/12.20 tff(37893,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB196) <=> (~((~v184(constB196)) | (~v160(constB196)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37894,plain,
% 16.14/12.20 (v187(constB196) <=> (~((~v184(constB196)) | (~v160(constB196))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37893, 408])).
% 16.14/12.20 tff(37895,plain,
% 16.14/12.20 (((~v184(constB196)) | (~v160(constB196))) | v184(constB196)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37896,plain,
% 16.14/12.20 ((~v184(constB196)) | (~v160(constB196))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37895, 37267])).
% 16.14/12.20 tff(37897,plain,
% 16.14/12.20 ((~(v187(constB196) <=> (~((~v184(constB196)) | (~v160(constB196)))))) | (~v187(constB196)) | (~((~v184(constB196)) | (~v160(constB196))))),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37898,plain,
% 16.14/12.20 ((~(v187(constB196) <=> (~((~v184(constB196)) | (~v160(constB196)))))) | (~v187(constB196))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37897, 37896])).
% 16.14/12.20 tff(37899,plain,
% 16.14/12.20 (~v187(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37898, 37894])).
% 16.14/12.20 tff(37900,plain,
% 16.14/12.20 (((~v186(constB196)) | (~v187(constB196))) | v187(constB196)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37901,plain,
% 16.14/12.20 ((~v186(constB196)) | (~v187(constB196))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37900, 37899])).
% 16.14/12.20 tff(37902,plain,
% 16.14/12.20 ((~(v185(constB196) <=> (~((~v186(constB196)) | (~v187(constB196)))))) | (~v185(constB196)) | (~((~v186(constB196)) | (~v187(constB196))))),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37903,plain,
% 16.14/12.20 (~v185(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37902, 37901, 37892])).
% 16.14/12.20 tff(37904,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196))))))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37905,plain,
% 16.14/12.20 ((v181(constB196) <=> (~((~v182(constB196)) | (~v158(constB196))))) <=> (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196)))))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37906,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v182(constB196)) | (~v158(constB196)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196))))))),
% 16.14/12.20 inference(monotonicity,[status(thm)],[37905])).
% 16.14/12.20 tff(37907,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v182(constB196)) | (~v158(constB196)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196))))))),
% 16.14/12.20 inference(transitivity,[status(thm)],[37906, 37904])).
% 16.14/12.20 tff(37908,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v182(constB196)) | (~v158(constB196)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37909,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196)))))),
% 16.14/12.20 inference(modus_ponens,[status(thm)],[37908, 37907])).
% 16.14/12.20 tff(37910,plain,
% 16.14/12.20 (v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37909, 444])).
% 16.14/12.20 tff(37911,plain,
% 16.14/12.20 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB196) <=> v180(constB196))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37912,plain,
% 16.14/12.20 (v158(constB196) <=> v180(constB196)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37911, 358])).
% 16.14/12.20 tff(37913,plain,
% 16.14/12.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB195, constB196)) | (v180(constB196) <=> v178(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB195, constB196)) | (v180(constB196) <=> v178(constB195)))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37914,plain,
% 16.14/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB195, constB196)) | (v180(constB196) <=> v178(constB195)))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37915,plain,
% 16.14/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB195, constB196)) | (v180(constB196) <=> v178(constB195))),
% 16.14/12.20 inference(modus_ponens,[status(thm)],[37914, 37913])).
% 16.14/12.20 tff(37916,plain,
% 16.14/12.20 (v180(constB196) <=> v178(constB195)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37915, 37287, 370])).
% 16.14/12.20 tff(37917,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB195) <=> (v181(constB195) | v185(constB195)))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37918,plain,
% 16.14/12.20 (v178(constB195) <=> (v181(constB195) | v185(constB195))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37917, 384])).
% 16.14/12.20 tff(37919,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195))))))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37920,plain,
% 16.14/12.20 ((v181(constB195) <=> (~((~v182(constB195)) | (~v158(constB195))))) <=> (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195)))))),
% 16.14/12.20 inference(rewrite,[status(thm)],[])).
% 16.14/12.20 tff(37921,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v182(constB195)) | (~v158(constB195)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195))))))),
% 16.14/12.20 inference(monotonicity,[status(thm)],[37920])).
% 16.14/12.20 tff(37922,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v182(constB195)) | (~v158(constB195)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195))))))),
% 16.14/12.20 inference(transitivity,[status(thm)],[37921, 37919])).
% 16.14/12.20 tff(37923,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v182(constB195)) | (~v158(constB195)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37924,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195)))))),
% 16.14/12.20 inference(modus_ponens,[status(thm)],[37923, 37922])).
% 16.14/12.20 tff(37925,plain,
% 16.14/12.20 (v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37924, 444])).
% 16.14/12.20 tff(37926,plain,
% 16.14/12.20 (((~v158(constB195)) | (~v182(constB195))) | v182(constB195)),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37927,plain,
% 16.14/12.20 ((~v158(constB195)) | (~v182(constB195))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37926, 37360])).
% 16.14/12.20 tff(37928,plain,
% 16.14/12.20 ((~(v181(constB195) <=> (~((~v158(constB195)) | (~v182(constB195)))))) | (~v181(constB195)) | (~((~v158(constB195)) | (~v182(constB195))))),
% 16.14/12.20 inference(tautology,[status(thm)],[])).
% 16.14/12.20 tff(37929,plain,
% 16.14/12.20 (~v181(constB195)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37928, 37927, 37925])).
% 16.14/12.20 tff(37930,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB195) <=> (~((~v186(constB195)) | (~v187(constB195)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37931,plain,
% 16.14/12.20 (v185(constB195) <=> (~((~v186(constB195)) | (~v187(constB195))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37930, 396])).
% 16.14/12.20 tff(37932,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB195) <=> (~((~v184(constB195)) | (~v160(constB195)))))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37933,plain,
% 16.14/12.20 (v187(constB195) <=> (~((~v184(constB195)) | (~v160(constB195))))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37932, 408])).
% 16.14/12.20 tff(37934,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB195) <=> v162(constB195))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37935,plain,
% 16.14/12.20 (v160(constB195) <=> v162(constB195)),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37934, 549])).
% 16.14/12.20 tff(37936,plain,
% 16.14/12.20 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB195) <=> (v139(constB195) | v140(constB195)))),
% 16.14/12.20 inference(quant_inst,[status(thm)],[])).
% 16.14/12.20 tff(37937,plain,
% 16.14/12.20 (v170(constB195) <=> (v139(constB195) | v140(constB195))),
% 16.14/12.20 inference(unit_resolution,[status(thm)],[37936, 2216])).
% 16.14/12.20 tff(37938,plain,
% 16.14/12.20 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37939,plain,
% 16.14/12.21 ((v140(constB195) <=> (~(v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0))))) <=> (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37940,plain,
% 16.14/12.21 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0))))))),
% 16.14/12.21 inference(monotonicity,[status(thm)],[37939])).
% 16.14/12.21 tff(37941,plain,
% 16.14/12.21 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0))))))),
% 16.14/12.21 inference(transitivity,[status(thm)],[37940, 37938])).
% 16.14/12.21 tff(37942,plain,
% 16.14/12.21 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)))))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37943,plain,
% 16.14/12.21 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37942, 37941])).
% 16.14/12.21 tff(37944,plain,
% 16.14/12.21 (v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0))))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37943, 2250])).
% 16.14/12.21 tff(37945,plain,
% 16.14/12.21 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37946,plain,
% 16.14/12.21 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37947,plain,
% 16.14/12.21 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37946, 37945])).
% 16.14/12.21 tff(37948,plain,
% 16.14/12.21 (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37947, 579, 576])).
% 16.14/12.21 tff(37949,plain,
% 16.14/12.21 (((~![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))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37950,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37951,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37950, 37949])).
% 16.14/12.21 tff(37952,plain,
% 16.14/12.21 (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37951, 37371, 596])).
% 16.14/12.21 tff(37953,plain,
% 16.14/12.21 (((~![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))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37954,plain,
% 16.14/12.21 (((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195)))))) <=> ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37955,plain,
% 16.14/12.21 (((~![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)))))))),
% 16.14/12.21 inference(monotonicity,[status(thm)],[37954])).
% 16.14/12.21 tff(37956,plain,
% 16.14/12.21 (((~![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))))))),
% 16.14/12.21 inference(transitivity,[status(thm)],[37955, 37953])).
% 16.14/12.21 tff(37957,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37958,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37957, 37956])).
% 16.14/12.21 tff(37959,plain,
% 16.14/12.21 (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37958, 37371, 616])).
% 16.14/12.21 tff(37960,plain,
% 16.14/12.21 (((~v1(constB195)) | (~v102(constB195))) | v1(constB195)),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(37961,plain,
% 16.14/12.21 ((~v1(constB195)) | (~v102(constB195))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37960, 37346])).
% 16.14/12.21 tff(37962,plain,
% 16.14/12.21 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195)) | (~((~v1(constB195)) | (~v102(constB195))))),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(37963,plain,
% 16.14/12.21 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37962, 37961])).
% 16.14/12.21 tff(37964,plain,
% 16.14/12.21 (~v101(constB195)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37963, 37959])).
% 16.14/12.21 tff(37965,plain,
% 16.14/12.21 (((~v101(constB195)) | (~v110(constB195))) | v101(constB195)),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(37966,plain,
% 16.14/12.21 ((~v101(constB195)) | (~v110(constB195))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37965, 37964])).
% 16.14/12.21 tff(37967,plain,
% 16.14/12.21 ((~(v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))) | (~v100(constB195)) | (~((~v101(constB195)) | (~v110(constB195))))),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(37968,plain,
% 16.14/12.21 (~v100(constB195)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37967, 37966, 37952])).
% 16.14/12.21 tff(37969,plain,
% 16.14/12.21 (((~![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))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37970,plain,
% 16.14/12.21 ((~![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))))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37971,plain,
% 16.14/12.21 ((~![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)))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37970, 37969])).
% 16.14/12.21 tff(37972,plain,
% 16.14/12.21 (v100(constB195) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37971, 37371, 645])).
% 16.14/12.21 tff(37973,plain,
% 16.14/12.21 (![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37972, 37968])).
% 16.14/12.21 tff(37974,plain,
% 16.14/12.21 (((~![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)))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37975,plain,
% 16.14/12.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37976,plain,
% 16.14/12.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37975, 37974])).
% 16.14/12.21 tff(37977,plain,
% 16.14/12.21 (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37976, 579, 37973])).
% 16.14/12.21 tff(37978,plain,
% 16.14/12.21 (((~![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))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37979,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37980,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37979, 37978])).
% 16.14/12.21 tff(37981,plain,
% 16.14/12.21 (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37980, 37417, 596])).
% 16.14/12.21 tff(37982,plain,
% 16.14/12.21 (((~![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))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37983,plain,
% 16.14/12.21 (((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194)))))) <=> ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37984,plain,
% 16.14/12.21 (((~![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)))))))),
% 16.14/12.21 inference(monotonicity,[status(thm)],[37983])).
% 16.14/12.21 tff(37985,plain,
% 16.14/12.21 (((~![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))))))),
% 16.14/12.21 inference(transitivity,[status(thm)],[37984, 37982])).
% 16.14/12.21 tff(37986,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37987,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37986, 37985])).
% 16.14/12.21 tff(37988,plain,
% 16.14/12.21 (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37987, 37417, 616])).
% 16.14/12.21 tff(37989,plain,
% 16.14/12.21 (((~![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)))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37990,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37991,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37990, 37989])).
% 16.14/12.21 tff(37992,plain,
% 16.14/12.21 ((~v102(constB194)) <=> v104(constB194)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37991, 37417, 678])).
% 16.14/12.21 tff(37993,plain,
% 16.14/12.21 (((~![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)))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(37994,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(37995,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[37994, 37993])).
% 16.14/12.21 tff(37996,plain,
% 16.14/12.21 (v104(constB194) <=> v1(constB193)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37995, 37417, 692])).
% 16.14/12.21 tff(37997,plain,
% 16.14/12.21 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194)) | v1(constB193)),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(37998,plain,
% 16.14/12.21 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37997, 37481])).
% 16.14/12.21 tff(37999,plain,
% 16.14/12.21 (~v104(constB194)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[37998, 37996])).
% 16.14/12.21 tff(38000,plain,
% 16.14/12.21 ((~((~v102(constB194)) <=> v104(constB194))) | v102(constB194) | v104(constB194)),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(38001,plain,
% 16.14/12.21 (v102(constB194)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[38000, 37999, 37992])).
% 16.14/12.21 tff(38002,plain,
% 16.14/12.21 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v1(constB194)) | (~v102(constB194))),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(38003,plain,
% 16.14/12.21 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v102(constB194))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[38002, 37388])).
% 16.14/12.21 tff(38004,plain,
% 16.14/12.21 (~((~v1(constB194)) | (~v102(constB194)))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[38003, 38001])).
% 16.14/12.21 tff(38005,plain,
% 16.14/12.21 ((~(v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))) | v101(constB194) | ((~v1(constB194)) | (~v102(constB194)))),
% 16.14/12.21 inference(tautology,[status(thm)],[])).
% 16.14/12.21 tff(38006,plain,
% 16.14/12.21 (v101(constB194)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[38005, 38004, 37988])).
% 16.14/12.21 tff(38007,plain,
% 16.14/12.21 (((~![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)))),
% 16.14/12.21 inference(rewrite,[status(thm)],[])).
% 16.14/12.21 tff(38008,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(38009,plain,
% 16.14/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193))),
% 16.14/12.21 inference(modus_ponens,[status(thm)],[38008, 38007])).
% 16.14/12.21 tff(38010,plain,
% 16.14/12.21 (v110(constB194) <=> v108(constB193)),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[38009, 37417, 722])).
% 16.14/12.21 tff(38011,plain,
% 16.14/12.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB193) <=> (v111(constB193) | v112(constB193)))),
% 16.14/12.21 inference(quant_inst,[status(thm)],[])).
% 16.14/12.21 tff(38012,plain,
% 16.14/12.21 (v108(constB193) <=> (v111(constB193) | v112(constB193))),
% 16.14/12.21 inference(unit_resolution,[status(thm)],[38011, 733])).
% 16.14/12.21 tff(38013,plain,
% 16.14/12.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38014,plain,
% 16.14/12.22 (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193))))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38013, 745])).
% 16.14/12.22 tff(38015,plain,
% 16.14/12.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB193) <=> (v114(constB193) | v125(constB193)))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38016,plain,
% 16.14/12.22 (v113(constB193) <=> (v114(constB193) | v125(constB193))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38015, 754])).
% 16.14/12.22 tff(38017,plain,
% 16.14/12.22 (((~![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)))))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38018,plain,
% 16.14/12.22 ((v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2))))) <=> (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38019,plain,
% 16.14/12.22 (((~![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)))))),
% 16.14/12.22 inference(monotonicity,[status(thm)],[38018])).
% 16.14/12.22 tff(38020,plain,
% 16.14/12.22 (((~![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)))))),
% 16.14/12.22 inference(transitivity,[status(thm)],[38019, 38017])).
% 16.14/12.22 tff(38021,plain,
% 16.14/12.22 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38022,plain,
% 16.14/12.22 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38021, 38020])).
% 16.14/12.22 tff(38023,plain,
% 16.14/12.22 (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38022, 3458])).
% 16.14/12.22 tff(38024,plain,
% 16.14/12.22 ((~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38025,plain,
% 16.14/12.22 (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38024, 37791, 37754, 37672])).
% 16.14/12.22 tff(38026,plain,
% 16.14/12.22 ((~(v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))) | v125(constB193) | ((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38027,plain,
% 16.14/12.22 (v125(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38026, 38025, 38023])).
% 16.14/12.22 tff(38028,plain,
% 16.14/12.22 ((v114(constB193) | v125(constB193)) | (~v125(constB193))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38029,plain,
% 16.14/12.22 (v114(constB193) | v125(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38028, 38027])).
% 16.14/12.22 tff(38030,plain,
% 16.14/12.22 ((~(v113(constB193) <=> (v114(constB193) | v125(constB193)))) | v113(constB193) | (~(v114(constB193) | v125(constB193)))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38031,plain,
% 16.14/12.22 (v113(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38030, 38029, 38016])).
% 16.14/12.22 tff(38032,plain,
% 16.14/12.22 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB193)) <=> v111(constB193))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38033,plain,
% 16.14/12.22 ((~v126(constB193)) <=> v111(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38032, 1345])).
% 16.14/12.22 tff(38034,plain,
% 16.14/12.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB193) <=> v26(constB193))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38035,plain,
% 16.14/12.22 (v111(constB193) <=> v26(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38034, 1357])).
% 16.14/12.22 tff(38036,plain,
% 16.14/12.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38037,plain,
% 16.14/12.22 (~v26(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38036, 1369])).
% 16.14/12.22 tff(38038,plain,
% 16.14/12.22 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193)) | v26(constB193)),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38039,plain,
% 16.14/12.22 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38038, 38037])).
% 16.14/12.22 tff(38040,plain,
% 16.14/12.22 (~v111(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38039, 38035])).
% 16.14/12.22 tff(38041,plain,
% 16.14/12.22 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193) | v111(constB193)),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38042,plain,
% 16.14/12.22 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38041, 38040])).
% 16.14/12.22 tff(38043,plain,
% 16.14/12.22 (v126(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38042, 38033])).
% 16.14/12.22 tff(38044,plain,
% 16.14/12.22 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193)) | (~v126(constB193))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38045,plain,
% 16.14/12.22 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38044, 38043])).
% 16.14/12.22 tff(38046,plain,
% 16.14/12.22 (~((~v113(constB193)) | (~v126(constB193)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38045, 38031])).
% 16.14/12.22 tff(38047,plain,
% 16.14/12.22 ((~(v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))) | v112(constB193) | ((~v113(constB193)) | (~v126(constB193)))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38048,plain,
% 16.14/12.22 (v112(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38047, 38046, 38014])).
% 16.14/12.22 tff(38049,plain,
% 16.14/12.22 ((v111(constB193) | v112(constB193)) | (~v112(constB193))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38050,plain,
% 16.14/12.22 (v111(constB193) | v112(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38049, 38048])).
% 16.14/12.22 tff(38051,plain,
% 16.14/12.22 ((~(v108(constB193) <=> (v111(constB193) | v112(constB193)))) | v108(constB193) | (~(v111(constB193) | v112(constB193)))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38052,plain,
% 16.14/12.22 (v108(constB193)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38051, 38050, 38012])).
% 16.14/12.22 tff(38053,plain,
% 16.14/12.22 ((~(v110(constB194) <=> v108(constB193))) | v110(constB194) | (~v108(constB193))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38054,plain,
% 16.14/12.22 (v110(constB194)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38053, 38052, 38010])).
% 16.14/12.22 tff(38055,plain,
% 16.14/12.22 ((~((~v101(constB194)) | (~v110(constB194)))) | (~v101(constB194)) | (~v110(constB194))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38056,plain,
% 16.14/12.22 (~((~v101(constB194)) | (~v110(constB194)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38055, 38054, 38006])).
% 16.14/12.22 tff(38057,plain,
% 16.14/12.22 ((~(v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))) | v100(constB194) | ((~v101(constB194)) | (~v110(constB194)))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38058,plain,
% 16.14/12.22 (v100(constB194)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38057, 38056, 37981])).
% 16.14/12.22 tff(38059,plain,
% 16.14/12.22 (((~![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))))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38060,plain,
% 16.14/12.22 ((~![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))))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38061,plain,
% 16.14/12.22 ((~![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)))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38060, 38059])).
% 16.14/12.22 tff(38062,plain,
% 16.14/12.22 ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38061, 1405])).
% 16.14/12.22 tff(38063,plain,
% 16.14/12.22 (![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38062, 38058])).
% 16.14/12.22 tff(38064,plain,
% 16.14/12.22 (((~![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)))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38065,plain,
% 16.14/12.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38066,plain,
% 16.14/12.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38065, 38064])).
% 16.14/12.22 tff(38067,plain,
% 16.14/12.22 (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38066, 579, 38063])).
% 16.14/12.22 tff(38068,plain,
% 16.14/12.22 (((~![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))))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38069,plain,
% 16.14/12.22 ((~![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))))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38070,plain,
% 16.14/12.22 ((~![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)))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38069, 38068])).
% 16.14/12.22 tff(38071,plain,
% 16.14/12.22 (![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38070, 37417, 1427])).
% 16.14/12.22 tff(38072,plain,
% 16.14/12.22 (((~![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)))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38073,plain,
% 16.14/12.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38074,plain,
% 16.14/12.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38073, 38072])).
% 16.14/12.22 tff(38075,plain,
% 16.14/12.22 (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38074, 579, 38071])).
% 16.14/12.22 tff(38076,plain,
% 16.14/12.22 (((~![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))))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38077,plain,
% 16.14/12.22 ((~![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))))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38078,plain,
% 16.14/12.22 ((~![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)))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38077, 38076])).
% 16.14/12.22 tff(38079,plain,
% 16.14/12.22 (![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38078, 1448, 38040])).
% 16.14/12.22 tff(38080,plain,
% 16.14/12.22 (((~![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)))),
% 16.14/12.22 inference(rewrite,[status(thm)],[])).
% 16.14/12.22 tff(38081,plain,
% 16.14/12.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38082,plain,
% 16.14/12.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2))),
% 16.14/12.22 inference(modus_ponens,[status(thm)],[38081, 38080])).
% 16.14/12.22 tff(38083,plain,
% 16.14/12.22 (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38082, 579, 38079])).
% 16.14/12.22 tff(38084,plain,
% 16.14/12.22 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))))),
% 16.14/12.22 inference(quant_inst,[status(thm)],[])).
% 16.14/12.22 tff(38085,plain,
% 16.14/12.22 (v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)))),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38084, 1242])).
% 16.14/12.22 tff(38086,plain,
% 16.14/12.22 ((v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex2))),
% 16.14/12.22 inference(tautology,[status(thm)],[])).
% 16.14/12.22 tff(38087,plain,
% 16.14/12.22 (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)),
% 16.14/12.22 inference(unit_resolution,[status(thm)],[38086, 37672])).
% 16.14/12.23 tff(38088,plain,
% 16.14/12.23 ((~(v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))))) | (~v119(constB193)) | (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)))),
% 16.14/12.23 inference(tautology,[status(thm)],[])).
% 16.14/12.23 tff(38089,plain,
% 16.14/12.23 (~v119(constB193)),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38088, 38087, 38085])).
% 16.14/12.23 tff(38090,plain,
% 16.14/12.23 (((~![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))))))),
% 16.14/12.23 inference(rewrite,[status(thm)],[])).
% 16.14/12.23 tff(38091,plain,
% 16.14/12.23 ((v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2))))) <=> (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 16.14/12.23 inference(rewrite,[status(thm)],[])).
% 16.14/12.23 tff(38092,plain,
% 16.14/12.23 (((~![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))))))),
% 16.14/12.23 inference(monotonicity,[status(thm)],[38091])).
% 16.14/12.23 tff(38093,plain,
% 16.14/12.23 (((~![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))))))),
% 16.14/12.23 inference(transitivity,[status(thm)],[38092, 38090])).
% 16.14/12.23 tff(38094,plain,
% 16.14/12.23 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))),
% 16.14/12.23 inference(quant_inst,[status(thm)],[])).
% 16.14/12.23 tff(38095,plain,
% 16.14/12.23 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 16.14/12.23 inference(modus_ponens,[status(thm)],[38094, 38093])).
% 16.14/12.23 tff(38096,plain,
% 16.14/12.23 (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38095, 2651])).
% 16.14/12.23 tff(38097,plain,
% 16.14/12.23 (((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex1))),
% 16.14/12.23 inference(tautology,[status(thm)],[])).
% 16.14/12.23 tff(38098,plain,
% 16.14/12.23 ((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38097, 37791])).
% 16.14/12.23 tff(38099,plain,
% 16.14/12.23 ((~(v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))) | (~v124(constB193)) | (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 16.14/12.23 inference(tautology,[status(thm)],[])).
% 16.14/12.23 tff(38100,plain,
% 16.14/12.23 (~v124(constB193)),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38099, 38098, 38096])).
% 16.14/12.23 tff(38101,plain,
% 16.14/12.23 (((~![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)))))),
% 16.14/12.23 inference(rewrite,[status(thm)],[])).
% 16.14/12.23 tff(38102,plain,
% 16.14/12.23 ((v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2))))) <=> (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))),
% 16.14/12.23 inference(rewrite,[status(thm)],[])).
% 16.14/12.23 tff(38103,plain,
% 16.14/12.23 (((~![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)))))),
% 16.14/12.23 inference(monotonicity,[status(thm)],[38102])).
% 16.14/12.23 tff(38104,plain,
% 16.14/12.23 (((~![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)))))),
% 16.14/12.23 inference(transitivity,[status(thm)],[38103, 38101])).
% 16.14/12.23 tff(38105,plain,
% 16.14/12.23 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))),
% 16.14/12.23 inference(quant_inst,[status(thm)],[])).
% 16.14/12.23 tff(38106,plain,
% 16.14/12.23 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))),
% 16.14/12.23 inference(modus_ponens,[status(thm)],[38105, 38104])).
% 16.14/12.23 tff(38107,plain,
% 16.14/12.23 (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38106, 787])).
% 16.14/12.23 tff(38108,plain,
% 16.14/12.23 (((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1))),
% 16.14/12.23 inference(tautology,[status(thm)],[])).
% 16.14/12.23 tff(38109,plain,
% 16.14/12.23 ((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38108, 37791])).
% 16.14/12.23 tff(38110,plain,
% 16.14/12.23 ((~(v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))) | (~v123(constB193)) | (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))),
% 16.14/12.23 inference(tautology,[status(thm)],[])).
% 16.14/12.23 tff(38111,plain,
% 16.14/12.23 (~v123(constB193)),
% 16.14/12.23 inference(unit_resolution,[status(thm)],[38110, 38109, 38107])).
% 16.14/12.23 tff(38112,plain,
% 16.14/12.23 (((~![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))))))),
% 16.14/12.23 inference(rewrite,[status(thm)],[])).
% 16.14/12.23 tff(38113,plain,
% 16.14/12.23 ((v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1))))) <=> (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))),
% 16.18/12.23 inference(rewrite,[status(thm)],[])).
% 16.18/12.23 tff(38114,plain,
% 16.18/12.23 (((~![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))))))),
% 16.18/12.23 inference(monotonicity,[status(thm)],[38113])).
% 16.18/12.23 tff(38115,plain,
% 16.18/12.23 (((~![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))))))),
% 16.18/12.23 inference(transitivity,[status(thm)],[38114, 38112])).
% 16.18/12.23 tff(38116,plain,
% 16.18/12.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))),
% 16.18/12.23 inference(quant_inst,[status(thm)],[])).
% 16.18/12.23 tff(38117,plain,
% 16.18/12.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))),
% 16.18/12.23 inference(modus_ponens,[status(thm)],[38116, 38115])).
% 16.18/12.23 tff(38118,plain,
% 16.18/12.23 (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))),
% 16.18/12.23 inference(unit_resolution,[status(thm)],[38117, 900])).
% 16.18/12.23 tff(38119,plain,
% 16.18/12.23 ((v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2))),
% 16.18/12.23 inference(tautology,[status(thm)],[])).
% 16.18/12.23 tff(38120,plain,
% 16.18/12.23 (v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))),
% 16.18/12.23 inference(unit_resolution,[status(thm)],[38119, 37672])).
% 16.18/12.23 tff(38121,plain,
% 16.18/12.23 ((~(v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))) | (~v122(constB193)) | (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))),
% 16.18/12.23 inference(tautology,[status(thm)],[])).
% 16.18/12.23 tff(38122,plain,
% 16.18/12.23 (~v122(constB193)),
% 16.18/12.23 inference(unit_resolution,[status(thm)],[38121, 38120, 38118])).
% 16.18/12.23 tff(38123,plain,
% 16.18/12.23 (((~![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)))))),
% 16.18/12.23 inference(rewrite,[status(thm)],[])).
% 16.18/12.23 tff(38124,plain,
% 16.18/12.23 ((v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1))))) <=> (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 16.18/12.23 inference(rewrite,[status(thm)],[])).
% 16.18/12.23 tff(38125,plain,
% 16.18/12.23 (((~![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)))))),
% 16.18/12.24 inference(monotonicity,[status(thm)],[38124])).
% 16.18/12.24 tff(38126,plain,
% 16.18/12.24 (((~![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)))))),
% 16.18/12.24 inference(transitivity,[status(thm)],[38125, 38123])).
% 16.18/12.24 tff(38127,plain,
% 16.18/12.24 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38128,plain,
% 16.18/12.24 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38127, 38126])).
% 16.18/12.24 tff(38129,plain,
% 16.18/12.24 (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38128, 1015])).
% 16.18/12.24 tff(38130,plain,
% 16.18/12.24 ((v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2))),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38131,plain,
% 16.18/12.24 (v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38130, 37672])).
% 16.18/12.24 tff(38132,plain,
% 16.18/12.24 ((~(v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))) | (~v121(constB193)) | (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38133,plain,
% 16.18/12.24 (~v121(constB193)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38132, 38131, 38129])).
% 16.18/12.24 tff(38134,plain,
% 16.18/12.24 (((~![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))))))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38135,plain,
% 16.18/12.24 ((v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0))))) <=> (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38136,plain,
% 16.18/12.24 (((~![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))))))),
% 16.18/12.24 inference(monotonicity,[status(thm)],[38135])).
% 16.18/12.24 tff(38137,plain,
% 16.18/12.24 (((~![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))))))),
% 16.18/12.24 inference(transitivity,[status(thm)],[38136, 38134])).
% 16.18/12.24 tff(38138,plain,
% 16.18/12.24 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)))))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38139,plain,
% 16.18/12.24 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38138, 38137])).
% 16.18/12.24 tff(38140,plain,
% 16.18/12.24 (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38139, 1132])).
% 16.18/12.24 tff(38141,plain,
% 16.18/12.24 ((v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2))),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38142,plain,
% 16.18/12.24 (v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38141, 37672])).
% 16.18/12.24 tff(38143,plain,
% 16.18/12.24 ((~(v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))) | (~v120(constB193)) | (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38144,plain,
% 16.18/12.24 (~v120(constB193)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38143, 38142, 38140])).
% 16.18/12.24 tff(38145,plain,
% 16.18/12.24 (((~![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))))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38146,plain,
% 16.18/12.24 ((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))))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38147,plain,
% 16.18/12.24 (((~![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)))))),
% 16.18/12.24 inference(monotonicity,[status(thm)],[38146])).
% 16.18/12.24 tff(38148,plain,
% 16.18/12.24 (((~![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))))),
% 16.18/12.24 inference(transitivity,[status(thm)],[38147, 38145])).
% 16.18/12.24 tff(38149,plain,
% 16.18/12.24 ((~![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))))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38150,plain,
% 16.18/12.24 ((~![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)))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38149, 38148])).
% 16.18/12.24 tff(38151,plain,
% 16.18/12.24 (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38150, 8006])).
% 16.18/12.24 tff(38152,plain,
% 16.18/12.24 (![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38151, 38144, 38133, 38122, 38111, 38100, 38089])).
% 16.18/12.24 tff(38153,plain,
% 16.18/12.24 (((~![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)))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38154,plain,
% 16.18/12.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b001(bitIndex2)))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38155,plain,
% 16.18/12.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b001(bitIndex2))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38154, 38153])).
% 16.18/12.24 tff(38156,plain,
% 16.18/12.24 (v130(constB193, bitIndex2) <=> b001(bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38155, 579, 38152])).
% 16.18/12.24 tff(38157,plain,
% 16.18/12.24 ((~(v130(constB193, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB193, bitIndex2)) | b001(bitIndex2)),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38158,plain,
% 16.18/12.24 ((~(v130(constB193, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB193, bitIndex2))),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38157, 1480])).
% 16.18/12.24 tff(38159,plain,
% 16.18/12.24 (~v130(constB193, bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38158, 38156])).
% 16.18/12.24 tff(38160,plain,
% 16.18/12.24 ((~(v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2))) | (~v127(constB193, bitIndex2)) | v130(constB193, bitIndex2)),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38161,plain,
% 16.18/12.24 (~v127(constB193, bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38160, 38159, 38083])).
% 16.18/12.24 tff(38162,plain,
% 16.18/12.24 ((~(v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2))) | (~v129(constB194, bitIndex2)) | v127(constB193, bitIndex2)),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38163,plain,
% 16.18/12.24 (~v129(constB194, bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38162, 38161, 38075])).
% 16.18/12.24 tff(38164,plain,
% 16.18/12.24 ((~(v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2)),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38165,plain,
% 16.18/12.24 (~v90(constB194, bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38164, 38163, 38067])).
% 16.18/12.24 tff(38166,plain,
% 16.18/12.24 ((~(v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2))) | (~v90(constB195, bitIndex2)) | v90(constB194, bitIndex2)),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38167,plain,
% 16.18/12.24 (~v90(constB195, bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38166, 38165, 37977])).
% 16.18/12.24 tff(38168,plain,
% 16.18/12.24 ((~(v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2))) | (~v88(constB195, bitIndex2)) | v90(constB195, bitIndex2)),
% 16.18/12.24 inference(tautology,[status(thm)],[])).
% 16.18/12.24 tff(38169,plain,
% 16.18/12.24 (~v88(constB195, bitIndex2)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38168, 38167, 37948])).
% 16.18/12.24 tff(38170,plain,
% 16.18/12.24 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38171,plain,
% 16.18/12.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38172,plain,
% 16.18/12.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38171, 38170])).
% 16.18/12.24 tff(38173,plain,
% 16.18/12.24 (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38172, 1275, 576])).
% 16.18/12.24 tff(38174,plain,
% 16.18/12.24 (((~![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)))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38175,plain,
% 16.18/12.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38176,plain,
% 16.18/12.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38175, 38174])).
% 16.18/12.24 tff(38177,plain,
% 16.18/12.24 (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38176, 1275, 37973])).
% 16.18/12.24 tff(38178,plain,
% 16.18/12.24 (((~![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)))),
% 16.18/12.24 inference(rewrite,[status(thm)],[])).
% 16.18/12.24 tff(38179,plain,
% 16.18/12.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))),
% 16.18/12.24 inference(quant_inst,[status(thm)],[])).
% 16.18/12.24 tff(38180,plain,
% 16.18/12.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0))),
% 16.18/12.24 inference(modus_ponens,[status(thm)],[38179, 38178])).
% 16.18/12.24 tff(38181,plain,
% 16.18/12.24 (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)),
% 16.18/12.24 inference(unit_resolution,[status(thm)],[38180, 1275, 38063])).
% 16.18/12.24 tff(38182,plain,
% 16.18/12.24 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38183,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38184,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38183, 38182])).
% 16.18/12.25 tff(38185,plain,
% 16.18/12.25 (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38184, 1275, 38071])).
% 16.18/12.25 tff(38186,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38187,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38188,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38187, 38186])).
% 16.18/12.25 tff(38189,plain,
% 16.18/12.25 (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38188, 1275, 38079])).
% 16.18/12.25 tff(38190,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38191,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b001(bitIndex0)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38192,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b001(bitIndex0))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38191, 38190])).
% 16.18/12.25 tff(38193,plain,
% 16.18/12.25 (v130(constB193, bitIndex0) <=> b001(bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38192, 1275, 38152])).
% 16.18/12.25 tff(38194,plain,
% 16.18/12.25 ((~(v130(constB193, bitIndex0) <=> b001(bitIndex0))) | v130(constB193, bitIndex0) | (~b001(bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38195,plain,
% 16.18/12.25 ((~(v130(constB193, bitIndex0) <=> b001(bitIndex0))) | v130(constB193, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38194, 1514])).
% 16.18/12.25 tff(38196,plain,
% 16.18/12.25 (v130(constB193, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38195, 38193])).
% 16.18/12.25 tff(38197,plain,
% 16.18/12.25 ((~(v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0))) | v127(constB193, bitIndex0) | (~v130(constB193, bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38198,plain,
% 16.18/12.25 (v127(constB193, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38197, 38196, 38189])).
% 16.18/12.25 tff(38199,plain,
% 16.18/12.25 ((~(v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0))) | v129(constB194, bitIndex0) | (~v127(constB193, bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38200,plain,
% 16.18/12.25 (v129(constB194, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38199, 38198, 38185])).
% 16.18/12.25 tff(38201,plain,
% 16.18/12.25 ((~(v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38202,plain,
% 16.18/12.25 (v90(constB194, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38201, 38200, 38181])).
% 16.18/12.25 tff(38203,plain,
% 16.18/12.25 ((~(v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0))) | v90(constB195, bitIndex0) | (~v90(constB194, bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38204,plain,
% 16.18/12.25 (v90(constB195, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38203, 38202, 38177])).
% 16.18/12.25 tff(38205,plain,
% 16.18/12.25 ((~(v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0))) | v88(constB195, bitIndex0) | (~v90(constB195, bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38206,plain,
% 16.18/12.25 (v88(constB195, bitIndex0)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38205, 38204, 38173])).
% 16.18/12.25 tff(38207,plain,
% 16.18/12.25 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38208,plain,
% 16.18/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38209,plain,
% 16.18/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38208, 38207])).
% 16.18/12.25 tff(38210,plain,
% 16.18/12.25 (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38209, 1288, 576])).
% 16.18/12.25 tff(38211,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38212,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38213,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38212, 38211])).
% 16.18/12.25 tff(38214,plain,
% 16.18/12.25 (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38213, 1288, 37973])).
% 16.18/12.25 tff(38215,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38216,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38217,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38216, 38215])).
% 16.18/12.25 tff(38218,plain,
% 16.18/12.25 (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38217, 1288, 38063])).
% 16.18/12.25 tff(38219,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38220,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38221,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38220, 38219])).
% 16.18/12.25 tff(38222,plain,
% 16.18/12.25 (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38221, 1288, 38071])).
% 16.18/12.25 tff(38223,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38224,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38225,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38224, 38223])).
% 16.18/12.25 tff(38226,plain,
% 16.18/12.25 (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38225, 1288, 38079])).
% 16.18/12.25 tff(38227,plain,
% 16.18/12.25 (((~![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)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38228,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b001(bitIndex1)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38229,plain,
% 16.18/12.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b001(bitIndex1))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38228, 38227])).
% 16.18/12.25 tff(38230,plain,
% 16.18/12.25 (v130(constB193, bitIndex1) <=> b001(bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38229, 1288, 38152])).
% 16.18/12.25 tff(38231,plain,
% 16.18/12.25 ((~(v130(constB193, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB193, bitIndex1)) | b001(bitIndex1)),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38232,plain,
% 16.18/12.25 ((~(v130(constB193, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB193, bitIndex1))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38231, 1548])).
% 16.18/12.25 tff(38233,plain,
% 16.18/12.25 (~v130(constB193, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38232, 38230])).
% 16.18/12.25 tff(38234,plain,
% 16.18/12.25 ((~(v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1))) | (~v127(constB193, bitIndex1)) | v130(constB193, bitIndex1)),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38235,plain,
% 16.18/12.25 (~v127(constB193, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38234, 38233, 38226])).
% 16.18/12.25 tff(38236,plain,
% 16.18/12.25 ((~(v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1))) | (~v129(constB194, bitIndex1)) | v127(constB193, bitIndex1)),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38237,plain,
% 16.18/12.25 (~v129(constB194, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38236, 38235, 38222])).
% 16.18/12.25 tff(38238,plain,
% 16.18/12.25 ((~(v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1)),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38239,plain,
% 16.18/12.25 (~v90(constB194, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38238, 38237, 38218])).
% 16.18/12.25 tff(38240,plain,
% 16.18/12.25 ((~(v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1))) | (~v90(constB195, bitIndex1)) | v90(constB194, bitIndex1)),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38241,plain,
% 16.18/12.25 (~v90(constB195, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38240, 38239, 38214])).
% 16.18/12.25 tff(38242,plain,
% 16.18/12.25 ((~(v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1))) | (~v88(constB195, bitIndex1)) | v90(constB195, bitIndex1)),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38243,plain,
% 16.18/12.25 (~v88(constB195, bitIndex1)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38242, 38241, 38210])).
% 16.18/12.25 tff(38244,plain,
% 16.18/12.25 ((~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38245,plain,
% 16.18/12.25 (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38244, 38243, 38206, 38169])).
% 16.18/12.25 tff(38246,plain,
% 16.18/12.25 ((~(v140(constB195) <=> (~(v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))))) | v140(constB195) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38247,plain,
% 16.18/12.25 (v140(constB195)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38246, 38245, 37944])).
% 16.18/12.25 tff(38248,plain,
% 16.18/12.25 ((v139(constB195) | v140(constB195)) | (~v140(constB195))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38249,plain,
% 16.18/12.25 (v139(constB195) | v140(constB195)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38248, 38247])).
% 16.18/12.25 tff(38250,plain,
% 16.18/12.25 ((~(v170(constB195) <=> (v139(constB195) | v140(constB195)))) | v170(constB195) | (~(v139(constB195) | v140(constB195)))),
% 16.18/12.25 inference(tautology,[status(thm)],[])).
% 16.18/12.25 tff(38251,plain,
% 16.18/12.25 (v170(constB195)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38250, 38249, 37937])).
% 16.18/12.25 tff(38252,plain,
% 16.18/12.25 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB195)) | (~v169(constB195)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB195)) | (~v169(constB195)))),
% 16.18/12.25 inference(rewrite,[status(thm)],[])).
% 16.18/12.25 tff(38253,plain,
% 16.18/12.25 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB195)) | (~v169(constB195)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38254,plain,
% 16.18/12.25 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB195)) | (~v169(constB195))),
% 16.18/12.25 inference(modus_ponens,[status(thm)],[38253, 38252])).
% 16.18/12.25 tff(38255,plain,
% 16.18/12.25 ((~v170(constB195)) | (~v169(constB195))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38254, 18673])).
% 16.18/12.25 tff(38256,plain,
% 16.18/12.25 (~v169(constB195)),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38255, 38251])).
% 16.18/12.25 tff(38257,plain,
% 16.18/12.25 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB195) <=> (v145(constB195) | v166(constB195)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38258,plain,
% 16.18/12.25 (v165(constB195) <=> (v145(constB195) | v166(constB195))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38257, 2293])).
% 16.18/12.25 tff(38259,plain,
% 16.18/12.25 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB195) <=> (v142(constB195) | v167(constB195)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38260,plain,
% 16.18/12.25 (v166(constB195) <=> (v142(constB195) | v167(constB195))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38259, 2804])).
% 16.18/12.25 tff(38261,plain,
% 16.18/12.25 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB195) <=> (v141(constB195) | v168(constB195)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38262,plain,
% 16.18/12.25 (v167(constB195) <=> (v141(constB195) | v168(constB195))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38261, 18692])).
% 16.18/12.25 tff(38263,plain,
% 16.18/12.25 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB195) <=> (v139(constB195) | v140(constB195)))),
% 16.18/12.25 inference(quant_inst,[status(thm)],[])).
% 16.18/12.25 tff(38264,plain,
% 16.18/12.25 (v168(constB195) <=> (v139(constB195) | v140(constB195))),
% 16.18/12.25 inference(unit_resolution,[status(thm)],[38263, 18701])).
% 16.18/12.25 tff(38265,plain,
% 16.18/12.25 ((~(v168(constB195) <=> (v139(constB195) | v140(constB195)))) | v168(constB195) | (~(v139(constB195) | v140(constB195)))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38266,plain,
% 16.18/12.26 (v168(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38265, 38249, 38264])).
% 16.18/12.26 tff(38267,plain,
% 16.18/12.26 ((v141(constB195) | v168(constB195)) | (~v168(constB195))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38268,plain,
% 16.18/12.26 (v141(constB195) | v168(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38267, 38266])).
% 16.18/12.26 tff(38269,plain,
% 16.18/12.26 ((~(v167(constB195) <=> (v141(constB195) | v168(constB195)))) | v167(constB195) | (~(v141(constB195) | v168(constB195)))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38270,plain,
% 16.18/12.26 (v167(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38269, 38268, 38262])).
% 16.18/12.26 tff(38271,plain,
% 16.18/12.26 ((v142(constB195) | v167(constB195)) | (~v167(constB195))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38272,plain,
% 16.18/12.26 (v142(constB195) | v167(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38271, 38270])).
% 16.18/12.26 tff(38273,plain,
% 16.18/12.26 ((~(v166(constB195) <=> (v142(constB195) | v167(constB195)))) | v166(constB195) | (~(v142(constB195) | v167(constB195)))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38274,plain,
% 16.18/12.26 (v166(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38273, 38272, 38260])).
% 16.18/12.26 tff(38275,plain,
% 16.18/12.26 ((v145(constB195) | v166(constB195)) | (~v166(constB195))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38276,plain,
% 16.18/12.26 (v145(constB195) | v166(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38275, 38274])).
% 16.18/12.26 tff(38277,plain,
% 16.18/12.26 ((~(v165(constB195) <=> (v145(constB195) | v166(constB195)))) | v165(constB195) | (~(v145(constB195) | v166(constB195)))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38278,plain,
% 16.18/12.26 (v165(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38277, 38276, 38258])).
% 16.18/12.26 tff(38279,plain,
% 16.18/12.26 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB195)) | (v162(constB195) <=> v169(constB195)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB195)) | (v162(constB195) <=> v169(constB195)))),
% 16.18/12.26 inference(rewrite,[status(thm)],[])).
% 16.18/12.26 tff(38280,plain,
% 16.18/12.26 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB195)) | (v162(constB195) <=> v169(constB195)))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38281,plain,
% 16.18/12.26 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB195)) | (v162(constB195) <=> v169(constB195))),
% 16.18/12.26 inference(modus_ponens,[status(thm)],[38280, 38279])).
% 16.18/12.26 tff(38282,plain,
% 16.18/12.26 ((~v165(constB195)) | (v162(constB195) <=> v169(constB195))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38281, 2426])).
% 16.18/12.26 tff(38283,plain,
% 16.18/12.26 (v162(constB195) <=> v169(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38282, 38278])).
% 16.18/12.26 tff(38284,plain,
% 16.18/12.26 ((~(v162(constB195) <=> v169(constB195))) | (~v162(constB195)) | v169(constB195)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38285,plain,
% 16.18/12.26 (~v162(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38284, 38283, 38256])).
% 16.18/12.26 tff(38286,plain,
% 16.18/12.26 ((~(v160(constB195) <=> v162(constB195))) | (~v160(constB195)) | v162(constB195)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38287,plain,
% 16.18/12.26 ((~(v160(constB195) <=> v162(constB195))) | (~v160(constB195))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38286, 38285])).
% 16.18/12.26 tff(38288,plain,
% 16.18/12.26 (~v160(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38287, 37935])).
% 16.18/12.26 tff(38289,plain,
% 16.18/12.26 (((~v184(constB195)) | (~v160(constB195))) | v160(constB195)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38290,plain,
% 16.18/12.26 ((~v184(constB195)) | (~v160(constB195))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38289, 38288])).
% 16.18/12.26 tff(38291,plain,
% 16.18/12.26 ((~(v187(constB195) <=> (~((~v184(constB195)) | (~v160(constB195)))))) | (~v187(constB195)) | (~((~v184(constB195)) | (~v160(constB195))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38292,plain,
% 16.18/12.26 (~v187(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38291, 38290, 37933])).
% 16.18/12.26 tff(38293,plain,
% 16.18/12.26 (((~v186(constB195)) | (~v187(constB195))) | v187(constB195)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38294,plain,
% 16.18/12.26 ((~v186(constB195)) | (~v187(constB195))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38293, 38292])).
% 16.18/12.26 tff(38295,plain,
% 16.18/12.26 ((~(v185(constB195) <=> (~((~v186(constB195)) | (~v187(constB195)))))) | (~v185(constB195)) | (~((~v186(constB195)) | (~v187(constB195))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38296,plain,
% 16.18/12.26 (~v185(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38295, 38294, 37931])).
% 16.18/12.26 tff(38297,plain,
% 16.18/12.26 ((~(v181(constB195) | v185(constB195))) | v181(constB195) | v185(constB195)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38298,plain,
% 16.18/12.26 (~(v181(constB195) | v185(constB195))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38297, 38296, 37929])).
% 16.18/12.26 tff(38299,plain,
% 16.18/12.26 ((~(v178(constB195) <=> (v181(constB195) | v185(constB195)))) | (~v178(constB195)) | (v181(constB195) | v185(constB195))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38300,plain,
% 16.18/12.26 (~v178(constB195)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38299, 38298, 37918])).
% 16.18/12.26 tff(38301,plain,
% 16.18/12.26 ((~(v180(constB196) <=> v178(constB195))) | (~v180(constB196)) | v178(constB195)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38302,plain,
% 16.18/12.26 (~v180(constB196)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38301, 38300, 37916])).
% 16.18/12.26 tff(38303,plain,
% 16.18/12.26 ((~(v158(constB196) <=> v180(constB196))) | (~v158(constB196)) | v180(constB196)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38304,plain,
% 16.18/12.26 (~v158(constB196)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38303, 38302, 37912])).
% 16.18/12.26 tff(38305,plain,
% 16.18/12.26 (((~v158(constB196)) | (~v182(constB196))) | v158(constB196)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38306,plain,
% 16.18/12.26 ((~v158(constB196)) | (~v182(constB196))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38305, 38304])).
% 16.18/12.26 tff(38307,plain,
% 16.18/12.26 ((~(v181(constB196) <=> (~((~v158(constB196)) | (~v182(constB196)))))) | (~v181(constB196)) | (~((~v158(constB196)) | (~v182(constB196))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38308,plain,
% 16.18/12.26 (~v181(constB196)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38307, 38306, 37910])).
% 16.18/12.26 tff(38309,plain,
% 16.18/12.26 ((~(v181(constB196) | v185(constB196))) | v181(constB196) | v185(constB196)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38310,plain,
% 16.18/12.26 (~(v181(constB196) | v185(constB196))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38309, 38308, 37903])).
% 16.18/12.26 tff(38311,plain,
% 16.18/12.26 ((~(v178(constB196) <=> (v181(constB196) | v185(constB196)))) | (~v178(constB196)) | (v181(constB196) | v185(constB196))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38312,plain,
% 16.18/12.26 (~v178(constB196)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38311, 38310, 37890])).
% 16.18/12.26 tff(38313,plain,
% 16.18/12.26 ((~(v180(constB197) <=> v178(constB196))) | (~v180(constB197)) | v178(constB196)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38314,plain,
% 16.18/12.26 (~v180(constB197)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38313, 38312, 37888])).
% 16.18/12.26 tff(38315,plain,
% 16.18/12.26 ((~(v158(constB197) <=> v180(constB197))) | (~v158(constB197)) | v180(constB197)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38316,plain,
% 16.18/12.26 (~v158(constB197)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38315, 38314, 37884])).
% 16.18/12.26 tff(38317,plain,
% 16.18/12.26 (((~v158(constB197)) | (~v206(constB197))) | v158(constB197)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38318,plain,
% 16.18/12.26 ((~v158(constB197)) | (~v206(constB197))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38317, 38316])).
% 16.18/12.26 tff(38319,plain,
% 16.18/12.26 ((~(v205(constB197) <=> (~((~v158(constB197)) | (~v206(constB197)))))) | (~v205(constB197)) | (~((~v158(constB197)) | (~v206(constB197))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38320,plain,
% 16.18/12.26 (~v205(constB197)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38319, 38318, 37882])).
% 16.18/12.26 tff(38321,plain,
% 16.18/12.26 ((~(v205(constB197) | v209(constB197))) | v205(constB197) | v209(constB197)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38322,plain,
% 16.18/12.26 (~(v205(constB197) | v209(constB197))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38321, 38320, 37875])).
% 16.18/12.26 tff(38323,plain,
% 16.18/12.26 ((~(v204(constB197) <=> (v205(constB197) | v209(constB197)))) | (~v204(constB197)) | (v205(constB197) | v209(constB197))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38324,plain,
% 16.18/12.26 (~v204(constB197)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38323, 38322, 37228])).
% 16.18/12.26 tff(38325,plain,
% 16.18/12.26 ($false),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38324, 37226])).
% 16.18/12.26 tff(38326,plain,(~(constB197 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.18/12.26 tff(38327,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 16.18/12.26 tff(38328,plain,
% 16.18/12.26 (v204(constB149) <=> v204(VarCurr!0)),
% 16.18/12.26 inference(monotonicity,[status(thm)],[38327])).
% 16.18/12.26 tff(38329,plain,
% 16.18/12.26 (v204(VarCurr!0) <=> v204(constB149)),
% 16.18/12.26 inference(symmetry,[status(thm)],[38328])).
% 16.18/12.26 tff(38330,plain,
% 16.18/12.26 (v204(constB149)),
% 16.18/12.26 inference(modus_ponens,[status(thm)],[27, 38329])).
% 16.18/12.26 tff(38331,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB149) <=> (v205(constB149) | v209(constB149)))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38332,plain,
% 16.18/12.26 (v204(constB149) <=> (v205(constB149) | v209(constB149))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38331, 35])).
% 16.18/12.26 tff(38333,plain,
% 16.18/12.26 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149))))))),
% 16.18/12.26 inference(rewrite,[status(thm)],[])).
% 16.18/12.26 tff(38334,plain,
% 16.18/12.26 ((v209(constB149) <=> (~((~v206(constB149)) | (~v191(constB149))))) <=> (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149)))))),
% 16.18/12.26 inference(rewrite,[status(thm)],[])).
% 16.18/12.26 tff(38335,plain,
% 16.18/12.26 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v206(constB149)) | (~v191(constB149)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149))))))),
% 16.18/12.26 inference(monotonicity,[status(thm)],[38334])).
% 16.18/12.26 tff(38336,plain,
% 16.18/12.26 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v206(constB149)) | (~v191(constB149)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149))))))),
% 16.18/12.26 inference(transitivity,[status(thm)],[38335, 38333])).
% 16.18/12.26 tff(38337,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v206(constB149)) | (~v191(constB149)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38338,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149)))))),
% 16.18/12.26 inference(modus_ponens,[status(thm)],[38337, 38336])).
% 16.18/12.26 tff(38339,plain,
% 16.18/12.26 (v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38338, 47])).
% 16.18/12.26 tff(38340,plain,
% 16.18/12.26 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB149) <=> v196(constB149))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38341,plain,
% 16.18/12.26 (v191(constB149) <=> v196(constB149)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38340, 64])).
% 16.18/12.26 tff(38342,plain,
% 16.18/12.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB148, constB149)) | (v196(constB149) <=> v194(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB148, constB149)) | (v196(constB149) <=> v194(constB148)))),
% 16.18/12.26 inference(rewrite,[status(thm)],[])).
% 16.18/12.26 tff(38343,plain,
% 16.18/12.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB148, constB149)) | (v196(constB149) <=> v194(constB148)))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38344,plain,
% 16.18/12.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB148, constB149)) | (v196(constB149) <=> v194(constB148))),
% 16.18/12.26 inference(modus_ponens,[status(thm)],[38343, 38342])).
% 16.18/12.26 tff(38345,plain,
% 16.18/12.26 (v196(constB149) <=> v194(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38344, 19968, 76])).
% 16.18/12.26 tff(38346,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB148) <=> (v197(constB148) | v198(constB148)))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38347,plain,
% 16.18/12.26 (v194(constB148) <=> (v197(constB148) | v198(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38346, 90])).
% 16.18/12.26 tff(38348,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB148) <=> (~((~v158(constB148)) | (~v199(constB148)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38349,plain,
% 16.18/12.26 (v198(constB148) <=> (~((~v158(constB148)) | (~v199(constB148))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38348, 102])).
% 16.18/12.26 tff(38350,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB148) <=> (~((~v186(constB148)) | (~v200(constB148)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38351,plain,
% 16.18/12.26 (v199(constB148) <=> (~((~v186(constB148)) | (~v200(constB148))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38350, 114])).
% 16.18/12.26 tff(38352,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB148) <=> (~((~v184(constB148)) | (~v84(constB148)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38353,plain,
% 16.18/12.26 (v200(constB148) <=> (~((~v184(constB148)) | (~v84(constB148))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38352, 126])).
% 16.18/12.26 tff(38354,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38355,plain,
% 16.18/12.26 (v184(constB148) <=> (~((~v39(constB148)) | (~v9(constB148))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38354, 138])).
% 16.18/12.26 tff(38356,plain,
% 16.18/12.26 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB148)) <=> v1(constB148))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38357,plain,
% 16.18/12.26 ((~v39(constB148)) <=> v1(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38356, 147])).
% 16.18/12.26 tff(38358,plain,
% 16.18/12.26 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148)) | (~v1(constB148))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38359,plain,
% 16.18/12.26 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38358, 20030])).
% 16.18/12.26 tff(38360,plain,
% 16.18/12.26 (~v39(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38359, 38357])).
% 16.18/12.26 tff(38361,plain,
% 16.18/12.26 (((~v39(constB148)) | (~v9(constB148))) | v39(constB148)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38362,plain,
% 16.18/12.26 ((~v39(constB148)) | (~v9(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38361, 38360])).
% 16.18/12.26 tff(38363,plain,
% 16.18/12.26 ((~(v184(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v184(constB148)) | (~((~v39(constB148)) | (~v9(constB148))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38364,plain,
% 16.18/12.26 ((~(v184(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v184(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38363, 38362])).
% 16.18/12.26 tff(38365,plain,
% 16.18/12.26 (~v184(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38364, 38355])).
% 16.18/12.26 tff(38366,plain,
% 16.18/12.26 (((~v184(constB148)) | (~v84(constB148))) | v184(constB148)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38367,plain,
% 16.18/12.26 ((~v184(constB148)) | (~v84(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38366, 38365])).
% 16.18/12.26 tff(38368,plain,
% 16.18/12.26 ((~(v200(constB148) <=> (~((~v184(constB148)) | (~v84(constB148)))))) | (~v200(constB148)) | (~((~v184(constB148)) | (~v84(constB148))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38369,plain,
% 16.18/12.26 ((~(v200(constB148) <=> (~((~v184(constB148)) | (~v84(constB148)))))) | (~v200(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38368, 38367])).
% 16.18/12.26 tff(38370,plain,
% 16.18/12.26 (~v200(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38369, 38353])).
% 16.18/12.26 tff(38371,plain,
% 16.18/12.26 (((~v186(constB148)) | (~v200(constB148))) | v200(constB148)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38372,plain,
% 16.18/12.26 ((~v186(constB148)) | (~v200(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38371, 38370])).
% 16.18/12.26 tff(38373,plain,
% 16.18/12.26 ((~(v199(constB148) <=> (~((~v186(constB148)) | (~v200(constB148)))))) | (~v199(constB148)) | (~((~v186(constB148)) | (~v200(constB148))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38374,plain,
% 16.18/12.26 (~v199(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38373, 38372, 38351])).
% 16.18/12.26 tff(38375,plain,
% 16.18/12.26 (((~v158(constB148)) | (~v199(constB148))) | v199(constB148)),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38376,plain,
% 16.18/12.26 ((~v158(constB148)) | (~v199(constB148))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38375, 38374])).
% 16.18/12.26 tff(38377,plain,
% 16.18/12.26 ((~(v198(constB148) <=> (~((~v158(constB148)) | (~v199(constB148)))))) | (~v198(constB148)) | (~((~v158(constB148)) | (~v199(constB148))))),
% 16.18/12.26 inference(tautology,[status(thm)],[])).
% 16.18/12.26 tff(38378,plain,
% 16.18/12.26 (~v198(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38377, 38376, 38349])).
% 16.18/12.26 tff(38379,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB148) <=> (~((~v182(constB148)) | (~v191(constB148)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38380,plain,
% 16.18/12.26 (v197(constB148) <=> (~((~v182(constB148)) | (~v191(constB148))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38379, 183])).
% 16.18/12.26 tff(38381,plain,
% 16.18/12.26 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB148) <=> v196(constB148))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38382,plain,
% 16.18/12.26 (v191(constB148) <=> v196(constB148)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38381, 64])).
% 16.18/12.26 tff(38383,plain,
% 16.18/12.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB147, constB148)) | (v196(constB148) <=> v194(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB147, constB148)) | (v196(constB148) <=> v194(constB147)))),
% 16.18/12.26 inference(rewrite,[status(thm)],[])).
% 16.18/12.26 tff(38384,plain,
% 16.18/12.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB147, constB148)) | (v196(constB148) <=> v194(constB147)))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38385,plain,
% 16.18/12.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB147, constB148)) | (v196(constB148) <=> v194(constB147))),
% 16.18/12.26 inference(modus_ponens,[status(thm)],[38384, 38383])).
% 16.18/12.26 tff(38386,plain,
% 16.18/12.26 (v196(constB148) <=> v194(constB147)),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38385, 20000, 76])).
% 16.18/12.26 tff(38387,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB147) <=> (v197(constB147) | v198(constB147)))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38388,plain,
% 16.18/12.26 (v194(constB147) <=> (v197(constB147) | v198(constB147))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38387, 90])).
% 16.18/12.26 tff(38389,plain,
% 16.18/12.26 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB147) <=> (~((~v182(constB147)) | (~v191(constB147)))))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38390,plain,
% 16.18/12.26 (v197(constB147) <=> (~((~v182(constB147)) | (~v191(constB147))))),
% 16.18/12.26 inference(unit_resolution,[status(thm)],[38389, 183])).
% 16.18/12.26 tff(38391,plain,
% 16.18/12.26 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB147)) <=> v183(constB147))),
% 16.18/12.26 inference(quant_inst,[status(thm)],[])).
% 16.18/12.26 tff(38392,plain,
% 16.18/12.26 ((~v182(constB147)) <=> v183(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38391, 205])).
% 16.18/12.27 tff(38393,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB147) <=> (v184(constB147) | v26(constB147)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38394,plain,
% 16.18/12.27 (v183(constB147) <=> (v184(constB147) | v26(constB147))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38393, 214])).
% 16.18/12.27 tff(38395,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB147) <=> (~((~v39(constB147)) | (~v9(constB147)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38396,plain,
% 16.18/12.27 (v184(constB147) <=> (~((~v39(constB147)) | (~v9(constB147))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38395, 138])).
% 16.18/12.27 tff(38397,plain,
% 16.18/12.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38398,plain,
% 16.18/12.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38399,plain,
% 16.18/12.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147))),
% 16.18/12.27 inference(modus_ponens,[status(thm)],[38398, 38397])).
% 16.18/12.27 tff(38400,plain,
% 16.18/12.27 (v13(constB148) <=> v9(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38399, 20000, 228])).
% 16.18/12.27 tff(38401,plain,
% 16.18/12.27 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB148) <=> v13(constB148))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38402,plain,
% 16.18/12.27 (v6(constB148) <=> v13(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38401, 242])).
% 16.18/12.27 tff(38403,plain,
% 16.18/12.27 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB148)) <=> v6(constB148))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38404,plain,
% 16.18/12.27 ((~v21(constB148)) <=> v6(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38403, 251])).
% 16.18/12.27 tff(38405,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB148) <=> (v20(constB148) | v21(constB148)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38406,plain,
% 16.18/12.27 (v19(constB148) <=> (v20(constB148) | v21(constB148))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38405, 260])).
% 16.18/12.27 tff(38407,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38408,plain,
% 16.18/12.27 (v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38407, 272])).
% 16.18/12.27 tff(38409,plain,
% 16.18/12.27 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB148)) <=> v18(constB148))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38410,plain,
% 16.18/12.27 ((~v4(constB148)) <=> v18(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38409, 281])).
% 16.18/12.27 tff(38411,plain,
% 16.18/12.27 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB148)),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38412,plain,
% 16.18/12.27 (v4(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38411, 290])).
% 16.18/12.27 tff(38413,plain,
% 16.18/12.27 ((~((~v4(constB148)) <=> v18(constB148))) | (~v4(constB148)) | (~v18(constB148))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38414,plain,
% 16.18/12.27 (~v18(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38413, 38412, 38410])).
% 16.18/12.27 tff(38415,plain,
% 16.18/12.27 ((~(v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148)))))) | v18(constB148) | ((~v19(constB148)) | (~v22(constB148)))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38416,plain,
% 16.18/12.27 ((~v19(constB148)) | (~v22(constB148))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38415, 38414, 38408])).
% 16.18/12.27 tff(38417,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB148) <=> (v1(constB148) | v6(constB148)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38418,plain,
% 16.18/12.27 (v22(constB148) <=> (v1(constB148) | v6(constB148))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38417, 303])).
% 16.18/12.27 tff(38419,plain,
% 16.18/12.27 ((v1(constB148) | v6(constB148)) | (~v1(constB148))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38420,plain,
% 16.18/12.27 (v1(constB148) | v6(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38419, 20030])).
% 16.18/12.27 tff(38421,plain,
% 16.18/12.27 ((~(v22(constB148) <=> (v1(constB148) | v6(constB148)))) | v22(constB148) | (~(v1(constB148) | v6(constB148)))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38422,plain,
% 16.18/12.27 ((~(v22(constB148) <=> (v1(constB148) | v6(constB148)))) | v22(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38421, 38420])).
% 16.18/12.27 tff(38423,plain,
% 16.18/12.27 (v22(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38422, 38418])).
% 16.18/12.27 tff(38424,plain,
% 16.18/12.27 ((~((~v19(constB148)) | (~v22(constB148)))) | (~v19(constB148)) | (~v22(constB148))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38425,plain,
% 16.18/12.27 ((~((~v19(constB148)) | (~v22(constB148)))) | (~v19(constB148))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38424, 38423])).
% 16.18/12.27 tff(38426,plain,
% 16.18/12.27 (~v19(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38425, 38416])).
% 16.18/12.27 tff(38427,plain,
% 16.18/12.27 ((~(v19(constB148) <=> (v20(constB148) | v21(constB148)))) | v19(constB148) | (~(v20(constB148) | v21(constB148)))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38428,plain,
% 16.18/12.27 (~(v20(constB148) | v21(constB148))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38427, 38426, 38406])).
% 16.18/12.27 tff(38429,plain,
% 16.18/12.27 ((v20(constB148) | v21(constB148)) | (~v21(constB148))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38430,plain,
% 16.18/12.27 (~v21(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38429, 38428])).
% 16.18/12.27 tff(38431,plain,
% 16.18/12.27 ((~((~v21(constB148)) <=> v6(constB148))) | v21(constB148) | v6(constB148)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38432,plain,
% 16.18/12.27 (v6(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38431, 38430, 38404])).
% 16.18/12.27 tff(38433,plain,
% 16.18/12.27 ((~(v6(constB148) <=> v13(constB148))) | (~v6(constB148)) | v13(constB148)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38434,plain,
% 16.18/12.27 (v13(constB148)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38433, 38432, 38402])).
% 16.18/12.27 tff(38435,plain,
% 16.18/12.27 ((~(v13(constB148) <=> v9(constB147))) | (~v13(constB148)) | v9(constB147)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38436,plain,
% 16.18/12.27 (v9(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38435, 38434, 38400])).
% 16.18/12.27 tff(38437,plain,
% 16.18/12.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB147)) <=> v1(constB147))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38438,plain,
% 16.18/12.27 ((~v39(constB147)) <=> v1(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38437, 147])).
% 16.18/12.27 tff(38439,plain,
% 16.18/12.27 ((~((~v39(constB147)) <=> v1(constB147))) | v39(constB147) | v1(constB147)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38440,plain,
% 16.18/12.27 ((~((~v39(constB147)) <=> v1(constB147))) | v39(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38439, 20022])).
% 16.18/12.27 tff(38441,plain,
% 16.18/12.27 (v39(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38440, 38438])).
% 16.18/12.27 tff(38442,plain,
% 16.18/12.27 ((~((~v39(constB147)) | (~v9(constB147)))) | (~v39(constB147)) | (~v9(constB147))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38443,plain,
% 16.18/12.27 ((~((~v39(constB147)) | (~v9(constB147)))) | (~v9(constB147))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38442, 38441])).
% 16.18/12.27 tff(38444,plain,
% 16.18/12.27 (~((~v39(constB147)) | (~v9(constB147)))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38443, 38436])).
% 16.18/12.27 tff(38445,plain,
% 16.18/12.27 ((~(v184(constB147) <=> (~((~v39(constB147)) | (~v9(constB147)))))) | v184(constB147) | ((~v39(constB147)) | (~v9(constB147)))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38446,plain,
% 16.18/12.27 (v184(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38445, 38444, 38396])).
% 16.18/12.27 tff(38447,plain,
% 16.18/12.27 ((v184(constB147) | v26(constB147)) | (~v184(constB147))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38448,plain,
% 16.18/12.27 (v184(constB147) | v26(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38447, 38446])).
% 16.18/12.27 tff(38449,plain,
% 16.18/12.27 ((~(v183(constB147) <=> (v184(constB147) | v26(constB147)))) | v183(constB147) | (~(v184(constB147) | v26(constB147)))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38450,plain,
% 16.18/12.27 (v183(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38449, 38448, 38394])).
% 16.18/12.27 tff(38451,plain,
% 16.18/12.27 ((~((~v182(constB147)) <=> v183(constB147))) | (~v182(constB147)) | (~v183(constB147))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38452,plain,
% 16.18/12.27 (~v182(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38451, 38450, 38392])).
% 16.18/12.27 tff(38453,plain,
% 16.18/12.27 (((~v182(constB147)) | (~v191(constB147))) | v182(constB147)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38454,plain,
% 16.18/12.27 ((~v182(constB147)) | (~v191(constB147))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38453, 38452])).
% 16.18/12.27 tff(38455,plain,
% 16.18/12.27 ((~(v197(constB147) <=> (~((~v182(constB147)) | (~v191(constB147)))))) | (~v197(constB147)) | (~((~v182(constB147)) | (~v191(constB147))))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38456,plain,
% 16.18/12.27 (~v197(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38455, 38454, 38390])).
% 16.18/12.27 tff(38457,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB147) <=> (~((~v158(constB147)) | (~v199(constB147)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38458,plain,
% 16.18/12.27 (v198(constB147) <=> (~((~v158(constB147)) | (~v199(constB147))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38457, 102])).
% 16.18/12.27 tff(38459,plain,
% 16.18/12.27 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB147) <=> v180(constB147))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38460,plain,
% 16.18/12.27 (v158(constB147) <=> v180(constB147)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38459, 358])).
% 16.18/12.27 tff(38461,plain,
% 16.18/12.27 (((~![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)))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38462,plain,
% 16.18/12.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38463,plain,
% 16.18/12.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146))),
% 16.18/12.27 inference(modus_ponens,[status(thm)],[38462, 38461])).
% 16.18/12.27 tff(38464,plain,
% 16.18/12.27 (v180(constB147) <=> v178(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38463, 20065, 370])).
% 16.18/12.27 tff(38465,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB146) <=> (v181(constB146) | v185(constB146)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38466,plain,
% 16.18/12.27 (v178(constB146) <=> (v181(constB146) | v185(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38465, 384])).
% 16.18/12.27 tff(38467,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38468,plain,
% 16.18/12.27 (v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38467, 396])).
% 16.18/12.27 tff(38469,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB146) <=> (~((~v184(constB146)) | (~v160(constB146)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38470,plain,
% 16.18/12.27 (v187(constB146) <=> (~((~v184(constB146)) | (~v160(constB146))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38469, 408])).
% 16.18/12.27 tff(38471,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38472,plain,
% 16.18/12.27 (v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38471, 138])).
% 16.18/12.27 tff(38473,plain,
% 16.18/12.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38474,plain,
% 16.18/12.27 ((~v39(constB146)) <=> v1(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38473, 147])).
% 16.18/12.27 tff(38475,plain,
% 16.18/12.27 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38476,plain,
% 16.18/12.27 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38475, 20127])).
% 16.18/12.27 tff(38477,plain,
% 16.18/12.27 (~v39(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38476, 38474])).
% 16.18/12.27 tff(38478,plain,
% 16.18/12.27 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38479,plain,
% 16.18/12.27 ((~v39(constB146)) | (~v9(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38478, 38477])).
% 16.18/12.27 tff(38480,plain,
% 16.18/12.27 ((~(v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v184(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38481,plain,
% 16.18/12.27 ((~(v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v184(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38480, 38479])).
% 16.18/12.27 tff(38482,plain,
% 16.18/12.27 (~v184(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38481, 38472])).
% 16.18/12.27 tff(38483,plain,
% 16.18/12.27 (((~v184(constB146)) | (~v160(constB146))) | v184(constB146)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38484,plain,
% 16.18/12.27 ((~v184(constB146)) | (~v160(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38483, 38482])).
% 16.18/12.27 tff(38485,plain,
% 16.18/12.27 ((~(v187(constB146) <=> (~((~v184(constB146)) | (~v160(constB146)))))) | (~v187(constB146)) | (~((~v184(constB146)) | (~v160(constB146))))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38486,plain,
% 16.18/12.27 ((~(v187(constB146) <=> (~((~v184(constB146)) | (~v160(constB146)))))) | (~v187(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38485, 38484])).
% 16.18/12.27 tff(38487,plain,
% 16.18/12.27 (~v187(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38486, 38470])).
% 16.18/12.27 tff(38488,plain,
% 16.18/12.27 (((~v186(constB146)) | (~v187(constB146))) | v187(constB146)),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38489,plain,
% 16.18/12.27 ((~v186(constB146)) | (~v187(constB146))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38488, 38487])).
% 16.18/12.27 tff(38490,plain,
% 16.18/12.27 ((~(v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146)))))) | (~v185(constB146)) | (~((~v186(constB146)) | (~v187(constB146))))),
% 16.18/12.27 inference(tautology,[status(thm)],[])).
% 16.18/12.27 tff(38491,plain,
% 16.18/12.27 (~v185(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38490, 38489, 38468])).
% 16.18/12.27 tff(38492,plain,
% 16.18/12.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146))))))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38493,plain,
% 16.18/12.27 ((v181(constB146) <=> (~((~v182(constB146)) | (~v158(constB146))))) <=> (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146)))))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38494,plain,
% 16.18/12.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v158(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146))))))),
% 16.18/12.27 inference(monotonicity,[status(thm)],[38493])).
% 16.18/12.27 tff(38495,plain,
% 16.18/12.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v158(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146))))))),
% 16.18/12.27 inference(transitivity,[status(thm)],[38494, 38492])).
% 16.18/12.27 tff(38496,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v158(constB146)))))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38497,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146)))))),
% 16.18/12.27 inference(modus_ponens,[status(thm)],[38496, 38495])).
% 16.18/12.27 tff(38498,plain,
% 16.18/12.27 (v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146))))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38497, 444])).
% 16.18/12.27 tff(38499,plain,
% 16.18/12.27 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB146) <=> v180(constB146))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38500,plain,
% 16.18/12.27 (v158(constB146) <=> v180(constB146)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38499, 358])).
% 16.18/12.27 tff(38501,plain,
% 16.18/12.27 (((~![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)))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38502,plain,
% 16.18/12.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38503,plain,
% 16.18/12.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145))),
% 16.18/12.27 inference(modus_ponens,[status(thm)],[38502, 38501])).
% 16.18/12.27 tff(38504,plain,
% 16.18/12.27 (v180(constB146) <=> v178(constB145)),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38503, 20097, 370])).
% 16.18/12.27 tff(38505,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB145) <=> (v181(constB145) | v185(constB145)))),
% 16.18/12.27 inference(quant_inst,[status(thm)],[])).
% 16.18/12.27 tff(38506,plain,
% 16.18/12.27 (v178(constB145) <=> (v181(constB145) | v185(constB145))),
% 16.18/12.27 inference(unit_resolution,[status(thm)],[38505, 384])).
% 16.18/12.27 tff(38507,plain,
% 16.18/12.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145))))))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38508,plain,
% 16.18/12.27 ((v181(constB145) <=> (~((~v182(constB145)) | (~v158(constB145))))) <=> (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145)))))),
% 16.18/12.27 inference(rewrite,[status(thm)],[])).
% 16.18/12.27 tff(38509,plain,
% 16.18/12.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v158(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145))))))),
% 16.18/12.27 inference(monotonicity,[status(thm)],[38508])).
% 16.18/12.27 tff(38510,plain,
% 16.18/12.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v158(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145))))))),
% 16.18/12.27 inference(transitivity,[status(thm)],[38509, 38507])).
% 16.18/12.27 tff(38511,plain,
% 16.18/12.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v158(constB145)))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38512,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145)))))),
% 16.18/12.28 inference(modus_ponens,[status(thm)],[38511, 38510])).
% 16.18/12.28 tff(38513,plain,
% 16.18/12.28 (v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145))))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38512, 444])).
% 16.18/12.28 tff(38514,plain,
% 16.18/12.28 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB145)) <=> v183(constB145))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38515,plain,
% 16.18/12.28 ((~v182(constB145)) <=> v183(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38514, 205])).
% 16.18/12.28 tff(38516,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB145) <=> (v184(constB145) | v26(constB145)))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38517,plain,
% 16.18/12.28 (v183(constB145) <=> (v184(constB145) | v26(constB145))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38516, 214])).
% 16.18/12.28 tff(38518,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38519,plain,
% 16.18/12.28 (v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38518, 138])).
% 16.18/12.28 tff(38520,plain,
% 16.18/12.28 (((~![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)))),
% 16.18/12.28 inference(rewrite,[status(thm)],[])).
% 16.18/12.28 tff(38521,plain,
% 16.18/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38522,plain,
% 16.18/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 16.18/12.28 inference(modus_ponens,[status(thm)],[38521, 38520])).
% 16.18/12.28 tff(38523,plain,
% 16.18/12.28 (v13(constB146) <=> v9(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38522, 20097, 228])).
% 16.18/12.28 tff(38524,plain,
% 16.18/12.28 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38525,plain,
% 16.18/12.28 (v6(constB146) <=> v13(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38524, 242])).
% 16.18/12.28 tff(38526,plain,
% 16.18/12.28 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38527,plain,
% 16.18/12.28 ((~v21(constB146)) <=> v6(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38526, 251])).
% 16.18/12.28 tff(38528,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38529,plain,
% 16.18/12.28 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38528, 260])).
% 16.18/12.28 tff(38530,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38531,plain,
% 16.18/12.28 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38530, 272])).
% 16.18/12.28 tff(38532,plain,
% 16.18/12.28 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38533,plain,
% 16.18/12.28 ((~v4(constB146)) <=> v18(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38532, 281])).
% 16.18/12.28 tff(38534,plain,
% 16.18/12.28 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB146)),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38535,plain,
% 16.18/12.28 (v4(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38534, 290])).
% 16.18/12.28 tff(38536,plain,
% 16.18/12.28 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38537,plain,
% 16.18/12.28 (~v18(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38536, 38535, 38533])).
% 16.18/12.28 tff(38538,plain,
% 16.18/12.28 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38539,plain,
% 16.18/12.28 ((~v19(constB146)) | (~v22(constB146))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38538, 38537, 38531])).
% 16.18/12.28 tff(38540,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38541,plain,
% 16.18/12.28 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38540, 303])).
% 16.18/12.28 tff(38542,plain,
% 16.18/12.28 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38543,plain,
% 16.18/12.28 (v1(constB146) | v6(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38542, 20127])).
% 16.18/12.28 tff(38544,plain,
% 16.18/12.28 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38545,plain,
% 16.18/12.28 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38544, 38543])).
% 16.18/12.28 tff(38546,plain,
% 16.18/12.28 (v22(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38545, 38541])).
% 16.18/12.28 tff(38547,plain,
% 16.18/12.28 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38548,plain,
% 16.18/12.28 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38547, 38546])).
% 16.18/12.28 tff(38549,plain,
% 16.18/12.28 (~v19(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38548, 38539])).
% 16.18/12.28 tff(38550,plain,
% 16.18/12.28 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38551,plain,
% 16.18/12.28 (~(v20(constB146) | v21(constB146))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38550, 38549, 38529])).
% 16.18/12.28 tff(38552,plain,
% 16.18/12.28 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38553,plain,
% 16.18/12.28 (~v21(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38552, 38551])).
% 16.18/12.28 tff(38554,plain,
% 16.18/12.28 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38555,plain,
% 16.18/12.28 (v6(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38554, 38553, 38527])).
% 16.18/12.28 tff(38556,plain,
% 16.18/12.28 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38557,plain,
% 16.18/12.28 (v13(constB146)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38556, 38555, 38525])).
% 16.18/12.28 tff(38558,plain,
% 16.18/12.28 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38559,plain,
% 16.18/12.28 (v9(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38558, 38557, 38523])).
% 16.18/12.28 tff(38560,plain,
% 16.18/12.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38561,plain,
% 16.18/12.28 ((~v39(constB145)) <=> v1(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38560, 147])).
% 16.18/12.28 tff(38562,plain,
% 16.18/12.28 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38563,plain,
% 16.18/12.28 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38562, 20119])).
% 16.18/12.28 tff(38564,plain,
% 16.18/12.28 (v39(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38563, 38561])).
% 16.18/12.28 tff(38565,plain,
% 16.18/12.28 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38566,plain,
% 16.18/12.28 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38565, 38564])).
% 16.18/12.28 tff(38567,plain,
% 16.18/12.28 (~((~v39(constB145)) | (~v9(constB145)))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38566, 38559])).
% 16.18/12.28 tff(38568,plain,
% 16.18/12.28 ((~(v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v184(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38569,plain,
% 16.18/12.28 (v184(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38568, 38567, 38519])).
% 16.18/12.28 tff(38570,plain,
% 16.18/12.28 ((v184(constB145) | v26(constB145)) | (~v184(constB145))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38571,plain,
% 16.18/12.28 (v184(constB145) | v26(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38570, 38569])).
% 16.18/12.28 tff(38572,plain,
% 16.18/12.28 ((~(v183(constB145) <=> (v184(constB145) | v26(constB145)))) | v183(constB145) | (~(v184(constB145) | v26(constB145)))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38573,plain,
% 16.18/12.28 (v183(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38572, 38571, 38517])).
% 16.18/12.28 tff(38574,plain,
% 16.18/12.28 ((~((~v182(constB145)) <=> v183(constB145))) | (~v182(constB145)) | (~v183(constB145))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38575,plain,
% 16.18/12.28 (~v182(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38574, 38573, 38515])).
% 16.18/12.28 tff(38576,plain,
% 16.18/12.28 (((~v158(constB145)) | (~v182(constB145))) | v182(constB145)),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38577,plain,
% 16.18/12.28 ((~v158(constB145)) | (~v182(constB145))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38576, 38575])).
% 16.18/12.28 tff(38578,plain,
% 16.18/12.28 ((~(v181(constB145) <=> (~((~v158(constB145)) | (~v182(constB145)))))) | (~v181(constB145)) | (~((~v158(constB145)) | (~v182(constB145))))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38579,plain,
% 16.18/12.28 (~v181(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38578, 38577, 38513])).
% 16.18/12.28 tff(38580,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145)))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38581,plain,
% 16.18/12.28 (v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145))))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38580, 396])).
% 16.18/12.28 tff(38582,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB145) <=> (~((~v184(constB145)) | (~v160(constB145)))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38583,plain,
% 16.18/12.28 (v187(constB145) <=> (~((~v184(constB145)) | (~v160(constB145))))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38582, 408])).
% 16.18/12.28 tff(38584,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB145) <=> v162(constB145))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38585,plain,
% 16.18/12.28 (v160(constB145) <=> v162(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38584, 549])).
% 16.18/12.28 tff(38586,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB145) <=> (~(v88(constB145, bitIndex2) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex0)))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38587,plain,
% 16.18/12.28 (v141(constB145) <=> (~(v88(constB145, bitIndex2) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex0))))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38586, 564])).
% 16.18/12.28 tff(38588,plain,
% 16.18/12.28 (((~![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)))),
% 16.18/12.28 inference(rewrite,[status(thm)],[])).
% 16.18/12.28 tff(38589,plain,
% 16.18/12.28 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38590,plain,
% 16.18/12.28 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2))),
% 16.18/12.28 inference(modus_ponens,[status(thm)],[38589, 38588])).
% 16.18/12.28 tff(38591,plain,
% 16.18/12.28 (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38590, 579, 576])).
% 16.18/12.28 tff(38592,plain,
% 16.18/12.28 ((~(v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2))) | v88(constB145, bitIndex2) | (~v90(constB145, bitIndex2))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38593,plain,
% 16.18/12.28 (v88(constB145, bitIndex2)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38592, 22579, 38591])).
% 16.18/12.28 tff(38594,plain,
% 16.18/12.28 ((v88(constB145, bitIndex2) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex2))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38595,plain,
% 16.18/12.28 (v88(constB145, bitIndex2) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex0))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38594, 38593])).
% 16.18/12.28 tff(38596,plain,
% 16.18/12.28 ((~(v141(constB145) <=> (~(v88(constB145, bitIndex2) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex0)))))) | (~v141(constB145)) | (~(v88(constB145, bitIndex2) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex0))))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38597,plain,
% 16.18/12.28 (~v141(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38596, 38595, 38587])).
% 16.18/12.28 tff(38598,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB145) <=> (v139(constB145) | v140(constB145)))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38599,plain,
% 16.18/12.28 (v170(constB145) <=> (v139(constB145) | v140(constB145))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38598, 2216])).
% 16.18/12.28 tff(38600,plain,
% 16.18/12.28 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2))))),
% 16.18/12.28 inference(quant_inst,[status(thm)],[])).
% 16.18/12.28 tff(38601,plain,
% 16.18/12.28 (v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)))),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38600, 2231])).
% 16.18/12.28 tff(38602,plain,
% 16.18/12.28 ((v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex2))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38603,plain,
% 16.18/12.28 (v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38602, 38593])).
% 16.18/12.28 tff(38604,plain,
% 16.18/12.28 ((~(v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2))))) | (~v139(constB145)) | (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)))),
% 16.18/12.28 inference(tautology,[status(thm)],[])).
% 16.18/12.28 tff(38605,plain,
% 16.18/12.28 (~v139(constB145)),
% 16.18/12.28 inference(unit_resolution,[status(thm)],[38604, 38603, 38601])).
% 16.18/12.28 tff(38606,plain,
% 16.18/12.28 (((~![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))))))),
% 16.18/12.28 inference(rewrite,[status(thm)],[])).
% 16.18/12.28 tff(38607,plain,
% 16.18/12.28 ((v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0))))) <=> (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38608,plain,
% 16.18/12.29 (((~![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))))))),
% 16.18/12.29 inference(monotonicity,[status(thm)],[38607])).
% 16.18/12.29 tff(38609,plain,
% 16.18/12.29 (((~![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))))))),
% 16.18/12.29 inference(transitivity,[status(thm)],[38608, 38606])).
% 16.18/12.29 tff(38610,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0)))))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38611,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))),
% 16.18/12.29 inference(modus_ponens,[status(thm)],[38610, 38609])).
% 16.18/12.29 tff(38612,plain,
% 16.18/12.29 (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38611, 2250])).
% 16.18/12.29 tff(38613,plain,
% 16.18/12.29 ((v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex2))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38614,plain,
% 16.18/12.29 (v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38613, 38593])).
% 16.18/12.29 tff(38615,plain,
% 16.18/12.29 ((~(v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))) | (~v140(constB145)) | (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38616,plain,
% 16.18/12.29 (~v140(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38615, 38614, 38612])).
% 16.18/12.29 tff(38617,plain,
% 16.18/12.29 ((~(v139(constB145) | v140(constB145))) | v139(constB145) | v140(constB145)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38618,plain,
% 16.18/12.29 (~(v139(constB145) | v140(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38617, 38616, 38605])).
% 16.18/12.29 tff(38619,plain,
% 16.18/12.29 ((~(v170(constB145) <=> (v139(constB145) | v140(constB145)))) | (~v170(constB145)) | (v139(constB145) | v140(constB145))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38620,plain,
% 16.18/12.29 (~v170(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38619, 38618, 38599])).
% 16.18/12.29 tff(38621,plain,
% 16.18/12.29 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB145) | v170(constB145) | (~v169(constB145)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB145) | v170(constB145) | (~v169(constB145)))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38622,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB145) | v170(constB145) | (~v169(constB145)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38623,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB145) | v170(constB145) | (~v169(constB145))),
% 16.18/12.29 inference(modus_ponens,[status(thm)],[38622, 38621])).
% 16.18/12.29 tff(38624,plain,
% 16.18/12.29 (v141(constB145) | v170(constB145) | (~v169(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38623, 2278])).
% 16.18/12.29 tff(38625,plain,
% 16.18/12.29 (~v169(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38624, 38620, 38597])).
% 16.18/12.29 tff(38626,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB145) <=> (v145(constB145) | v166(constB145)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38627,plain,
% 16.18/12.29 (v165(constB145) <=> (v145(constB145) | v166(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38626, 2293])).
% 16.18/12.29 tff(38628,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB145) <=> (v142(constB145) | v167(constB145)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38629,plain,
% 16.18/12.29 (v166(constB145) <=> (v142(constB145) | v167(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38628, 2804])).
% 16.18/12.29 tff(38630,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB145) <=> (v143(constB145) | v144(constB145)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38631,plain,
% 16.18/12.29 (v142(constB145) <=> (v143(constB145) | v144(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38630, 2813])).
% 16.18/12.29 tff(38632,plain,
% 16.18/12.29 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1))))))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38633,plain,
% 16.18/12.29 ((v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2))))) <=> (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38634,plain,
% 16.18/12.29 (((~![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, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1))))))),
% 16.18/12.29 inference(monotonicity,[status(thm)],[38633])).
% 16.18/12.29 tff(38635,plain,
% 16.18/12.29 (((~![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, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1))))))),
% 16.18/12.29 inference(transitivity,[status(thm)],[38634, 38632])).
% 16.18/12.29 tff(38636,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38637,plain,
% 16.18/12.29 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))))),
% 16.18/12.29 inference(modus_ponens,[status(thm)],[38636, 38635])).
% 16.18/12.29 tff(38638,plain,
% 16.18/12.29 (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1))))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38637, 2828])).
% 16.18/12.29 tff(38639,plain,
% 16.18/12.29 (((~![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)))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38640,plain,
% 16.18/12.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38641,plain,
% 16.18/12.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0))),
% 16.18/12.29 inference(modus_ponens,[status(thm)],[38640, 38639])).
% 16.18/12.29 tff(38642,plain,
% 16.18/12.29 (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38641, 1275, 576])).
% 16.18/12.29 tff(38643,plain,
% 16.18/12.29 ((~(v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0))) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38644,plain,
% 16.18/12.29 (~v88(constB145, bitIndex0)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38643, 22610, 38642])).
% 16.18/12.29 tff(38645,plain,
% 16.18/12.29 (((~![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)))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38646,plain,
% 16.18/12.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38647,plain,
% 16.18/12.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1))),
% 16.18/12.29 inference(modus_ponens,[status(thm)],[38646, 38645])).
% 16.18/12.29 tff(38648,plain,
% 16.18/12.29 (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38647, 1288, 576])).
% 16.18/12.29 tff(38649,plain,
% 16.18/12.29 ((~(v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1))) | v88(constB145, bitIndex1) | (~v90(constB145, bitIndex1))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38650,plain,
% 16.18/12.29 (v88(constB145, bitIndex1)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38649, 22641, 38648])).
% 16.18/12.29 tff(38651,plain,
% 16.18/12.29 ((~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38652,plain,
% 16.18/12.29 (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38651, 38650, 38644, 38593])).
% 16.18/12.29 tff(38653,plain,
% 16.18/12.29 ((~(v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))))) | v144(constB145) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38654,plain,
% 16.18/12.29 (v144(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38653, 38652, 38638])).
% 16.18/12.29 tff(38655,plain,
% 16.18/12.29 ((v143(constB145) | v144(constB145)) | (~v144(constB145))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38656,plain,
% 16.18/12.29 (v143(constB145) | v144(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38655, 38654])).
% 16.18/12.29 tff(38657,plain,
% 16.18/12.29 ((~(v142(constB145) <=> (v143(constB145) | v144(constB145)))) | v142(constB145) | (~(v143(constB145) | v144(constB145)))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38658,plain,
% 16.18/12.29 (v142(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38657, 38656, 38631])).
% 16.18/12.29 tff(38659,plain,
% 16.18/12.29 ((v142(constB145) | v167(constB145)) | (~v142(constB145))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38660,plain,
% 16.18/12.29 (v142(constB145) | v167(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38659, 38658])).
% 16.18/12.29 tff(38661,plain,
% 16.18/12.29 ((~(v166(constB145) <=> (v142(constB145) | v167(constB145)))) | v166(constB145) | (~(v142(constB145) | v167(constB145)))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38662,plain,
% 16.18/12.29 (v166(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38661, 38660, 38629])).
% 16.18/12.29 tff(38663,plain,
% 16.18/12.29 ((v145(constB145) | v166(constB145)) | (~v166(constB145))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38664,plain,
% 16.18/12.29 (v145(constB145) | v166(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38663, 38662])).
% 16.18/12.29 tff(38665,plain,
% 16.18/12.29 ((~(v165(constB145) <=> (v145(constB145) | v166(constB145)))) | v165(constB145) | (~(v145(constB145) | v166(constB145)))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38666,plain,
% 16.18/12.29 (v165(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38665, 38664, 38627])).
% 16.18/12.29 tff(38667,plain,
% 16.18/12.29 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB145)) | (v162(constB145) <=> v169(constB145)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB145)) | (v162(constB145) <=> v169(constB145)))),
% 16.18/12.29 inference(rewrite,[status(thm)],[])).
% 16.18/12.29 tff(38668,plain,
% 16.18/12.29 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB145)) | (v162(constB145) <=> v169(constB145)))),
% 16.18/12.29 inference(quant_inst,[status(thm)],[])).
% 16.18/12.29 tff(38669,plain,
% 16.18/12.29 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB145)) | (v162(constB145) <=> v169(constB145))),
% 16.18/12.29 inference(modus_ponens,[status(thm)],[38668, 38667])).
% 16.18/12.29 tff(38670,plain,
% 16.18/12.29 ((~v165(constB145)) | (v162(constB145) <=> v169(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38669, 2426])).
% 16.18/12.29 tff(38671,plain,
% 16.18/12.29 (v162(constB145) <=> v169(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38670, 38666])).
% 16.18/12.29 tff(38672,plain,
% 16.18/12.29 ((~(v162(constB145) <=> v169(constB145))) | (~v162(constB145)) | v169(constB145)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38673,plain,
% 16.18/12.29 (~v162(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38672, 38671, 38625])).
% 16.18/12.29 tff(38674,plain,
% 16.18/12.29 ((~(v160(constB145) <=> v162(constB145))) | (~v160(constB145)) | v162(constB145)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38675,plain,
% 16.18/12.29 ((~(v160(constB145) <=> v162(constB145))) | (~v160(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38674, 38673])).
% 16.18/12.29 tff(38676,plain,
% 16.18/12.29 (~v160(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38675, 38585])).
% 16.18/12.29 tff(38677,plain,
% 16.18/12.29 (((~v184(constB145)) | (~v160(constB145))) | v160(constB145)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38678,plain,
% 16.18/12.29 ((~v184(constB145)) | (~v160(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38677, 38676])).
% 16.18/12.29 tff(38679,plain,
% 16.18/12.29 ((~(v187(constB145) <=> (~((~v184(constB145)) | (~v160(constB145)))))) | (~v187(constB145)) | (~((~v184(constB145)) | (~v160(constB145))))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38680,plain,
% 16.18/12.29 (~v187(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38679, 38678, 38583])).
% 16.18/12.29 tff(38681,plain,
% 16.18/12.29 (((~v186(constB145)) | (~v187(constB145))) | v187(constB145)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38682,plain,
% 16.18/12.29 ((~v186(constB145)) | (~v187(constB145))),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38681, 38680])).
% 16.18/12.29 tff(38683,plain,
% 16.18/12.29 ((~(v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145)))))) | (~v185(constB145)) | (~((~v186(constB145)) | (~v187(constB145))))),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38684,plain,
% 16.18/12.29 (~v185(constB145)),
% 16.18/12.29 inference(unit_resolution,[status(thm)],[38683, 38682, 38581])).
% 16.18/12.29 tff(38685,plain,
% 16.18/12.29 ((~(v181(constB145) | v185(constB145))) | v181(constB145) | v185(constB145)),
% 16.18/12.29 inference(tautology,[status(thm)],[])).
% 16.18/12.29 tff(38686,plain,
% 16.18/12.30 (~(v181(constB145) | v185(constB145))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38685, 38684, 38579])).
% 16.18/12.30 tff(38687,plain,
% 16.18/12.30 ((~(v178(constB145) <=> (v181(constB145) | v185(constB145)))) | (~v178(constB145)) | (v181(constB145) | v185(constB145))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38688,plain,
% 16.18/12.30 (~v178(constB145)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38687, 38686, 38506])).
% 16.18/12.30 tff(38689,plain,
% 16.18/12.30 ((~(v180(constB146) <=> v178(constB145))) | (~v180(constB146)) | v178(constB145)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38690,plain,
% 16.18/12.30 (~v180(constB146)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38689, 38688, 38504])).
% 16.18/12.30 tff(38691,plain,
% 16.18/12.30 ((~(v158(constB146) <=> v180(constB146))) | (~v158(constB146)) | v180(constB146)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38692,plain,
% 16.18/12.30 (~v158(constB146)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38691, 38690, 38500])).
% 16.18/12.30 tff(38693,plain,
% 16.18/12.30 (((~v158(constB146)) | (~v182(constB146))) | v158(constB146)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38694,plain,
% 16.18/12.30 ((~v158(constB146)) | (~v182(constB146))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38693, 38692])).
% 16.18/12.30 tff(38695,plain,
% 16.18/12.30 ((~(v181(constB146) <=> (~((~v158(constB146)) | (~v182(constB146)))))) | (~v181(constB146)) | (~((~v158(constB146)) | (~v182(constB146))))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38696,plain,
% 16.18/12.30 (~v181(constB146)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38695, 38694, 38498])).
% 16.18/12.30 tff(38697,plain,
% 16.18/12.30 ((~(v181(constB146) | v185(constB146))) | v181(constB146) | v185(constB146)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38698,plain,
% 16.18/12.30 (~(v181(constB146) | v185(constB146))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38697, 38696, 38491])).
% 16.18/12.30 tff(38699,plain,
% 16.18/12.30 ((~(v178(constB146) <=> (v181(constB146) | v185(constB146)))) | (~v178(constB146)) | (v181(constB146) | v185(constB146))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38700,plain,
% 16.18/12.30 (~v178(constB146)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38699, 38698, 38466])).
% 16.18/12.30 tff(38701,plain,
% 16.18/12.30 ((~(v180(constB147) <=> v178(constB146))) | (~v180(constB147)) | v178(constB146)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38702,plain,
% 16.18/12.30 (~v180(constB147)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38701, 38700, 38464])).
% 16.18/12.30 tff(38703,plain,
% 16.18/12.30 ((~(v158(constB147) <=> v180(constB147))) | (~v158(constB147)) | v180(constB147)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38704,plain,
% 16.18/12.30 (~v158(constB147)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38703, 38702, 38460])).
% 16.18/12.30 tff(38705,plain,
% 16.18/12.30 (((~v158(constB147)) | (~v199(constB147))) | v158(constB147)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38706,plain,
% 16.18/12.30 ((~v158(constB147)) | (~v199(constB147))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38705, 38704])).
% 16.18/12.30 tff(38707,plain,
% 16.18/12.30 ((~(v198(constB147) <=> (~((~v158(constB147)) | (~v199(constB147)))))) | (~v198(constB147)) | (~((~v158(constB147)) | (~v199(constB147))))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38708,plain,
% 16.18/12.30 (~v198(constB147)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38707, 38706, 38458])).
% 16.18/12.30 tff(38709,plain,
% 16.18/12.30 ((~(v197(constB147) | v198(constB147))) | v197(constB147) | v198(constB147)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38710,plain,
% 16.18/12.30 (~(v197(constB147) | v198(constB147))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38709, 38708, 38456])).
% 16.18/12.30 tff(38711,plain,
% 16.18/12.30 ((~(v194(constB147) <=> (v197(constB147) | v198(constB147)))) | (~v194(constB147)) | (v197(constB147) | v198(constB147))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38712,plain,
% 16.18/12.30 (~v194(constB147)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38711, 38710, 38388])).
% 16.18/12.30 tff(38713,plain,
% 16.18/12.30 ((~(v196(constB148) <=> v194(constB147))) | (~v196(constB148)) | v194(constB147)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38714,plain,
% 16.18/12.30 (~v196(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38713, 38712, 38386])).
% 16.18/12.30 tff(38715,plain,
% 16.18/12.30 ((~(v191(constB148) <=> v196(constB148))) | (~v191(constB148)) | v196(constB148)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38716,plain,
% 16.18/12.30 (~v191(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38715, 38714, 38382])).
% 16.18/12.30 tff(38717,plain,
% 16.18/12.30 (((~v182(constB148)) | (~v191(constB148))) | v191(constB148)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38718,plain,
% 16.18/12.30 ((~v182(constB148)) | (~v191(constB148))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38717, 38716])).
% 16.18/12.30 tff(38719,plain,
% 16.18/12.30 ((~(v197(constB148) <=> (~((~v182(constB148)) | (~v191(constB148)))))) | (~v197(constB148)) | (~((~v182(constB148)) | (~v191(constB148))))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38720,plain,
% 16.18/12.30 (~v197(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38719, 38718, 38380])).
% 16.18/12.30 tff(38721,plain,
% 16.18/12.30 ((~(v197(constB148) | v198(constB148))) | v197(constB148) | v198(constB148)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38722,plain,
% 16.18/12.30 (~(v197(constB148) | v198(constB148))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38721, 38720, 38378])).
% 16.18/12.30 tff(38723,plain,
% 16.18/12.30 ((~(v194(constB148) <=> (v197(constB148) | v198(constB148)))) | (~v194(constB148)) | (v197(constB148) | v198(constB148))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38724,plain,
% 16.18/12.30 (~v194(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38723, 38722, 38347])).
% 16.18/12.30 tff(38725,plain,
% 16.18/12.30 ((~(v196(constB149) <=> v194(constB148))) | (~v196(constB149)) | v194(constB148)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38726,plain,
% 16.18/12.30 (~v196(constB149)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38725, 38724, 38345])).
% 16.18/12.30 tff(38727,plain,
% 16.18/12.30 ((~(v191(constB149) <=> v196(constB149))) | (~v191(constB149)) | v196(constB149)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38728,plain,
% 16.18/12.30 (~v191(constB149)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38727, 38726, 38341])).
% 16.18/12.30 tff(38729,plain,
% 16.18/12.30 (((~v191(constB149)) | (~v206(constB149))) | v191(constB149)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38730,plain,
% 16.18/12.30 ((~v191(constB149)) | (~v206(constB149))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38729, 38728])).
% 16.18/12.30 tff(38731,plain,
% 16.18/12.30 ((~(v209(constB149) <=> (~((~v191(constB149)) | (~v206(constB149)))))) | (~v209(constB149)) | (~((~v191(constB149)) | (~v206(constB149))))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38732,plain,
% 16.18/12.30 (~v209(constB149)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38731, 38730, 38339])).
% 16.18/12.30 tff(38733,plain,
% 16.18/12.30 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149))))))),
% 16.18/12.30 inference(rewrite,[status(thm)],[])).
% 16.18/12.30 tff(38734,plain,
% 16.18/12.30 ((v205(constB149) <=> (~((~v206(constB149)) | (~v158(constB149))))) <=> (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149)))))),
% 16.18/12.30 inference(rewrite,[status(thm)],[])).
% 16.18/12.30 tff(38735,plain,
% 16.18/12.30 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v206(constB149)) | (~v158(constB149)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149))))))),
% 16.18/12.30 inference(monotonicity,[status(thm)],[38734])).
% 16.18/12.30 tff(38736,plain,
% 16.18/12.30 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v206(constB149)) | (~v158(constB149)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149))))))),
% 16.18/12.30 inference(transitivity,[status(thm)],[38735, 38733])).
% 16.18/12.30 tff(38737,plain,
% 16.18/12.30 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v206(constB149)) | (~v158(constB149)))))),
% 16.18/12.30 inference(quant_inst,[status(thm)],[])).
% 16.18/12.30 tff(38738,plain,
% 16.18/12.30 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149)))))),
% 16.18/12.30 inference(modus_ponens,[status(thm)],[38737, 38736])).
% 16.18/12.30 tff(38739,plain,
% 16.18/12.30 (v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149))))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38738, 2502])).
% 16.18/12.30 tff(38740,plain,
% 16.18/12.30 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB149) <=> v180(constB149))),
% 16.18/12.30 inference(quant_inst,[status(thm)],[])).
% 16.18/12.30 tff(38741,plain,
% 16.18/12.30 (v158(constB149) <=> v180(constB149)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38740, 358])).
% 16.18/12.30 tff(38742,plain,
% 16.18/12.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> v178(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB148, constB149)) | (v180(constB149) <=> v178(constB148)))),
% 16.18/12.30 inference(rewrite,[status(thm)],[])).
% 16.18/12.30 tff(38743,plain,
% 16.18/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> v178(constB148)))),
% 16.18/12.30 inference(quant_inst,[status(thm)],[])).
% 16.18/12.30 tff(38744,plain,
% 16.18/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB148, constB149)) | (v180(constB149) <=> v178(constB148))),
% 16.18/12.30 inference(modus_ponens,[status(thm)],[38743, 38742])).
% 16.18/12.30 tff(38745,plain,
% 16.18/12.30 (v180(constB149) <=> v178(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38744, 19968, 370])).
% 16.18/12.30 tff(38746,plain,
% 16.18/12.30 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB148) <=> (v181(constB148) | v185(constB148)))),
% 16.18/12.30 inference(quant_inst,[status(thm)],[])).
% 16.18/12.30 tff(38747,plain,
% 16.18/12.30 (v178(constB148) <=> (v181(constB148) | v185(constB148))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38746, 384])).
% 16.18/12.30 tff(38748,plain,
% 16.18/12.30 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB148) <=> (~((~v186(constB148)) | (~v187(constB148)))))),
% 16.18/12.30 inference(quant_inst,[status(thm)],[])).
% 16.18/12.30 tff(38749,plain,
% 16.18/12.30 (v185(constB148) <=> (~((~v186(constB148)) | (~v187(constB148))))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38748, 396])).
% 16.18/12.30 tff(38750,plain,
% 16.18/12.30 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB148) <=> (~((~v184(constB148)) | (~v160(constB148)))))),
% 16.18/12.30 inference(quant_inst,[status(thm)],[])).
% 16.18/12.30 tff(38751,plain,
% 16.18/12.30 (v187(constB148) <=> (~((~v184(constB148)) | (~v160(constB148))))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38750, 408])).
% 16.18/12.30 tff(38752,plain,
% 16.18/12.30 (((~v184(constB148)) | (~v160(constB148))) | v184(constB148)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38753,plain,
% 16.18/12.30 ((~v184(constB148)) | (~v160(constB148))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38752, 38365])).
% 16.18/12.30 tff(38754,plain,
% 16.18/12.30 ((~(v187(constB148) <=> (~((~v184(constB148)) | (~v160(constB148)))))) | (~v187(constB148)) | (~((~v184(constB148)) | (~v160(constB148))))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38755,plain,
% 16.18/12.30 ((~(v187(constB148) <=> (~((~v184(constB148)) | (~v160(constB148)))))) | (~v187(constB148))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38754, 38753])).
% 16.18/12.30 tff(38756,plain,
% 16.18/12.30 (~v187(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38755, 38751])).
% 16.18/12.30 tff(38757,plain,
% 16.18/12.30 (((~v186(constB148)) | (~v187(constB148))) | v187(constB148)),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38758,plain,
% 16.18/12.30 ((~v186(constB148)) | (~v187(constB148))),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38757, 38756])).
% 16.18/12.30 tff(38759,plain,
% 16.18/12.30 ((~(v185(constB148) <=> (~((~v186(constB148)) | (~v187(constB148)))))) | (~v185(constB148)) | (~((~v186(constB148)) | (~v187(constB148))))),
% 16.18/12.30 inference(tautology,[status(thm)],[])).
% 16.18/12.30 tff(38760,plain,
% 16.18/12.30 (~v185(constB148)),
% 16.18/12.30 inference(unit_resolution,[status(thm)],[38759, 38758, 38749])).
% 16.18/12.30 tff(38761,plain,
% 16.18/12.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148))))))),
% 16.25/12.30 inference(rewrite,[status(thm)],[])).
% 16.25/12.30 tff(38762,plain,
% 16.25/12.30 ((v181(constB148) <=> (~((~v182(constB148)) | (~v158(constB148))))) <=> (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148)))))),
% 16.25/12.30 inference(rewrite,[status(thm)],[])).
% 16.25/12.30 tff(38763,plain,
% 16.25/12.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v182(constB148)) | (~v158(constB148)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148))))))),
% 16.25/12.30 inference(monotonicity,[status(thm)],[38762])).
% 16.25/12.30 tff(38764,plain,
% 16.25/12.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v182(constB148)) | (~v158(constB148)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148))))))),
% 16.25/12.30 inference(transitivity,[status(thm)],[38763, 38761])).
% 16.25/12.30 tff(38765,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v182(constB148)) | (~v158(constB148)))))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38766,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148)))))),
% 16.25/12.30 inference(modus_ponens,[status(thm)],[38765, 38764])).
% 16.25/12.30 tff(38767,plain,
% 16.25/12.30 (v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148))))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38766, 444])).
% 16.25/12.30 tff(38768,plain,
% 16.25/12.30 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB148) <=> v180(constB148))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38769,plain,
% 16.25/12.30 (v158(constB148) <=> v180(constB148)),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38768, 358])).
% 16.25/12.30 tff(38770,plain,
% 16.25/12.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> v178(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB147, constB148)) | (v180(constB148) <=> v178(constB147)))),
% 16.25/12.30 inference(rewrite,[status(thm)],[])).
% 16.25/12.30 tff(38771,plain,
% 16.25/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> v178(constB147)))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38772,plain,
% 16.25/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB147, constB148)) | (v180(constB148) <=> v178(constB147))),
% 16.25/12.30 inference(modus_ponens,[status(thm)],[38771, 38770])).
% 16.25/12.30 tff(38773,plain,
% 16.25/12.30 (v180(constB148) <=> v178(constB147)),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38772, 20000, 370])).
% 16.25/12.30 tff(38774,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB147) <=> (v181(constB147) | v185(constB147)))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38775,plain,
% 16.25/12.30 (v178(constB147) <=> (v181(constB147) | v185(constB147))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38774, 384])).
% 16.25/12.30 tff(38776,plain,
% 16.25/12.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147))))))),
% 16.25/12.30 inference(rewrite,[status(thm)],[])).
% 16.25/12.30 tff(38777,plain,
% 16.25/12.30 ((v181(constB147) <=> (~((~v182(constB147)) | (~v158(constB147))))) <=> (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147)))))),
% 16.25/12.30 inference(rewrite,[status(thm)],[])).
% 16.25/12.30 tff(38778,plain,
% 16.25/12.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v182(constB147)) | (~v158(constB147)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147))))))),
% 16.25/12.30 inference(monotonicity,[status(thm)],[38777])).
% 16.25/12.30 tff(38779,plain,
% 16.25/12.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v182(constB147)) | (~v158(constB147)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147))))))),
% 16.25/12.30 inference(transitivity,[status(thm)],[38778, 38776])).
% 16.25/12.30 tff(38780,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v182(constB147)) | (~v158(constB147)))))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38781,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147)))))),
% 16.25/12.30 inference(modus_ponens,[status(thm)],[38780, 38779])).
% 16.25/12.30 tff(38782,plain,
% 16.25/12.30 (v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147))))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38781, 444])).
% 16.25/12.30 tff(38783,plain,
% 16.25/12.30 (((~v158(constB147)) | (~v182(constB147))) | v182(constB147)),
% 16.25/12.30 inference(tautology,[status(thm)],[])).
% 16.25/12.30 tff(38784,plain,
% 16.25/12.30 ((~v158(constB147)) | (~v182(constB147))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38783, 38452])).
% 16.25/12.30 tff(38785,plain,
% 16.25/12.30 ((~(v181(constB147) <=> (~((~v158(constB147)) | (~v182(constB147)))))) | (~v181(constB147)) | (~((~v158(constB147)) | (~v182(constB147))))),
% 16.25/12.30 inference(tautology,[status(thm)],[])).
% 16.25/12.30 tff(38786,plain,
% 16.25/12.30 (~v181(constB147)),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38785, 38784, 38782])).
% 16.25/12.30 tff(38787,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB147) <=> (~((~v186(constB147)) | (~v187(constB147)))))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38788,plain,
% 16.25/12.30 (v185(constB147) <=> (~((~v186(constB147)) | (~v187(constB147))))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38787, 396])).
% 16.25/12.30 tff(38789,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB147) <=> (~((~v184(constB147)) | (~v160(constB147)))))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38790,plain,
% 16.25/12.30 (v187(constB147) <=> (~((~v184(constB147)) | (~v160(constB147))))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38789, 408])).
% 16.25/12.30 tff(38791,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB147) <=> v162(constB147))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38792,plain,
% 16.25/12.30 (v160(constB147) <=> v162(constB147)),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38791, 549])).
% 16.25/12.30 tff(38793,plain,
% 16.25/12.30 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB147) <=> (v139(constB147) | v140(constB147)))),
% 16.25/12.30 inference(quant_inst,[status(thm)],[])).
% 16.25/12.30 tff(38794,plain,
% 16.25/12.30 (v170(constB147) <=> (v139(constB147) | v140(constB147))),
% 16.25/12.30 inference(unit_resolution,[status(thm)],[38793, 2216])).
% 16.25/12.30 tff(38795,plain,
% 16.25/12.30 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))))),
% 16.25/12.30 inference(rewrite,[status(thm)],[])).
% 16.25/12.30 tff(38796,plain,
% 16.25/12.30 ((v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0))))) <=> (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))),
% 16.25/12.31 inference(rewrite,[status(thm)],[])).
% 16.25/12.31 tff(38797,plain,
% 16.25/12.31 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))))),
% 16.25/12.31 inference(monotonicity,[status(thm)],[38796])).
% 16.25/12.31 tff(38798,plain,
% 16.25/12.31 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))))),
% 16.25/12.31 inference(transitivity,[status(thm)],[38797, 38795])).
% 16.25/12.31 tff(38799,plain,
% 16.25/12.31 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)))))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38800,plain,
% 16.25/12.31 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))),
% 16.25/12.31 inference(modus_ponens,[status(thm)],[38799, 38798])).
% 16.25/12.31 tff(38801,plain,
% 16.25/12.31 (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38800, 2250])).
% 16.25/12.31 tff(38802,plain,
% 16.25/12.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)))),
% 16.25/12.31 inference(rewrite,[status(thm)],[])).
% 16.25/12.31 tff(38803,plain,
% 16.25/12.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38804,plain,
% 16.25/12.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2))),
% 16.25/12.31 inference(modus_ponens,[status(thm)],[38803, 38802])).
% 16.25/12.31 tff(38805,plain,
% 16.25/12.31 (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38804, 579, 576])).
% 16.25/12.31 tff(38806,plain,
% 16.25/12.31 ((~(v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2))) | (~v88(constB147, bitIndex2)) | v90(constB147, bitIndex2)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38807,plain,
% 16.25/12.31 (~v88(constB147, bitIndex2)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38806, 22785, 38805])).
% 16.25/12.31 tff(38808,plain,
% 16.25/12.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)))),
% 16.25/12.31 inference(rewrite,[status(thm)],[])).
% 16.25/12.31 tff(38809,plain,
% 16.25/12.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38810,plain,
% 16.25/12.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0))),
% 16.25/12.31 inference(modus_ponens,[status(thm)],[38809, 38808])).
% 16.25/12.31 tff(38811,plain,
% 16.25/12.31 (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38810, 1275, 576])).
% 16.25/12.31 tff(38812,plain,
% 16.25/12.31 ((~(v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0))) | v88(constB147, bitIndex0) | (~v90(constB147, bitIndex0))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38813,plain,
% 16.25/12.31 (v88(constB147, bitIndex0)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38812, 22816, 38811])).
% 16.25/12.31 tff(38814,plain,
% 16.25/12.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)))),
% 16.25/12.31 inference(rewrite,[status(thm)],[])).
% 16.25/12.31 tff(38815,plain,
% 16.25/12.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38816,plain,
% 16.25/12.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1))),
% 16.25/12.31 inference(modus_ponens,[status(thm)],[38815, 38814])).
% 16.25/12.31 tff(38817,plain,
% 16.25/12.31 (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38816, 1288, 576])).
% 16.25/12.31 tff(38818,plain,
% 16.25/12.31 ((~(v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1))) | (~v88(constB147, bitIndex1)) | v90(constB147, bitIndex1)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38819,plain,
% 16.25/12.31 (~v88(constB147, bitIndex1)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38818, 22847, 38817])).
% 16.25/12.31 tff(38820,plain,
% 16.25/12.31 ((~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38821,plain,
% 16.25/12.31 (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38820, 38819, 38813, 38807])).
% 16.25/12.31 tff(38822,plain,
% 16.25/12.31 ((~(v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))) | v140(constB147) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38823,plain,
% 16.25/12.31 (v140(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38822, 38821, 38801])).
% 16.25/12.31 tff(38824,plain,
% 16.25/12.31 ((v139(constB147) | v140(constB147)) | (~v140(constB147))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38825,plain,
% 16.25/12.31 (v139(constB147) | v140(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38824, 38823])).
% 16.25/12.31 tff(38826,plain,
% 16.25/12.31 ((~(v170(constB147) <=> (v139(constB147) | v140(constB147)))) | v170(constB147) | (~(v139(constB147) | v140(constB147)))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38827,plain,
% 16.25/12.31 (v170(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38826, 38825, 38794])).
% 16.25/12.31 tff(38828,plain,
% 16.25/12.31 (((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB147)) | (~v169(constB147)))) <=> ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB147)) | (~v169(constB147)))),
% 16.25/12.31 inference(rewrite,[status(thm)],[])).
% 16.25/12.31 tff(38829,plain,
% 16.25/12.31 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB147)) | (~v169(constB147)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38830,plain,
% 16.25/12.31 ((~![VarCurr: $i] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v170(constB147)) | (~v169(constB147))),
% 16.25/12.31 inference(modus_ponens,[status(thm)],[38829, 38828])).
% 16.25/12.31 tff(38831,plain,
% 16.25/12.31 ((~v170(constB147)) | (~v169(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38830, 18673])).
% 16.25/12.31 tff(38832,plain,
% 16.25/12.31 (~v169(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38831, 38827])).
% 16.25/12.31 tff(38833,plain,
% 16.25/12.31 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB147) <=> (v145(constB147) | v166(constB147)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38834,plain,
% 16.25/12.31 (v165(constB147) <=> (v145(constB147) | v166(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38833, 2293])).
% 16.25/12.31 tff(38835,plain,
% 16.25/12.31 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v142(VarCurr) | v167(VarCurr)))) | (v166(constB147) <=> (v142(constB147) | v167(constB147)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38836,plain,
% 16.25/12.31 (v166(constB147) <=> (v142(constB147) | v167(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38835, 2804])).
% 16.25/12.31 tff(38837,plain,
% 16.25/12.31 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v141(VarCurr) | v168(VarCurr)))) | (v167(constB147) <=> (v141(constB147) | v168(constB147)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38838,plain,
% 16.25/12.31 (v167(constB147) <=> (v141(constB147) | v168(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38837, 18692])).
% 16.25/12.31 tff(38839,plain,
% 16.25/12.31 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v168(constB147) <=> (v139(constB147) | v140(constB147)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38840,plain,
% 16.25/12.31 (v168(constB147) <=> (v139(constB147) | v140(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38839, 18701])).
% 16.25/12.31 tff(38841,plain,
% 16.25/12.31 ((~(v168(constB147) <=> (v139(constB147) | v140(constB147)))) | v168(constB147) | (~(v139(constB147) | v140(constB147)))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38842,plain,
% 16.25/12.31 (v168(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38841, 38825, 38840])).
% 16.25/12.31 tff(38843,plain,
% 16.25/12.31 ((v141(constB147) | v168(constB147)) | (~v168(constB147))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38844,plain,
% 16.25/12.31 (v141(constB147) | v168(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38843, 38842])).
% 16.25/12.31 tff(38845,plain,
% 16.25/12.31 ((~(v167(constB147) <=> (v141(constB147) | v168(constB147)))) | v167(constB147) | (~(v141(constB147) | v168(constB147)))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38846,plain,
% 16.25/12.31 (v167(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38845, 38844, 38838])).
% 16.25/12.31 tff(38847,plain,
% 16.25/12.31 ((v142(constB147) | v167(constB147)) | (~v167(constB147))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38848,plain,
% 16.25/12.31 (v142(constB147) | v167(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38847, 38846])).
% 16.25/12.31 tff(38849,plain,
% 16.25/12.31 ((~(v166(constB147) <=> (v142(constB147) | v167(constB147)))) | v166(constB147) | (~(v142(constB147) | v167(constB147)))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38850,plain,
% 16.25/12.31 (v166(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38849, 38848, 38836])).
% 16.25/12.31 tff(38851,plain,
% 16.25/12.31 ((v145(constB147) | v166(constB147)) | (~v166(constB147))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38852,plain,
% 16.25/12.31 (v145(constB147) | v166(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38851, 38850])).
% 16.25/12.31 tff(38853,plain,
% 16.25/12.31 ((~(v165(constB147) <=> (v145(constB147) | v166(constB147)))) | v165(constB147) | (~(v145(constB147) | v166(constB147)))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38854,plain,
% 16.25/12.31 (v165(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38853, 38852, 38834])).
% 16.25/12.31 tff(38855,plain,
% 16.25/12.31 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB147)) | (v162(constB147) <=> v169(constB147)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB147)) | (v162(constB147) <=> v169(constB147)))),
% 16.25/12.31 inference(rewrite,[status(thm)],[])).
% 16.25/12.31 tff(38856,plain,
% 16.25/12.31 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB147)) | (v162(constB147) <=> v169(constB147)))),
% 16.25/12.31 inference(quant_inst,[status(thm)],[])).
% 16.25/12.31 tff(38857,plain,
% 16.25/12.31 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB147)) | (v162(constB147) <=> v169(constB147))),
% 16.25/12.31 inference(modus_ponens,[status(thm)],[38856, 38855])).
% 16.25/12.31 tff(38858,plain,
% 16.25/12.31 ((~v165(constB147)) | (v162(constB147) <=> v169(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38857, 2426])).
% 16.25/12.31 tff(38859,plain,
% 16.25/12.31 (v162(constB147) <=> v169(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38858, 38854])).
% 16.25/12.31 tff(38860,plain,
% 16.25/12.31 ((~(v162(constB147) <=> v169(constB147))) | (~v162(constB147)) | v169(constB147)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38861,plain,
% 16.25/12.31 (~v162(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38860, 38859, 38832])).
% 16.25/12.31 tff(38862,plain,
% 16.25/12.31 ((~(v160(constB147) <=> v162(constB147))) | (~v160(constB147)) | v162(constB147)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38863,plain,
% 16.25/12.31 ((~(v160(constB147) <=> v162(constB147))) | (~v160(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38862, 38861])).
% 16.25/12.31 tff(38864,plain,
% 16.25/12.31 (~v160(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38863, 38792])).
% 16.25/12.31 tff(38865,plain,
% 16.25/12.31 (((~v184(constB147)) | (~v160(constB147))) | v160(constB147)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38866,plain,
% 16.25/12.31 ((~v184(constB147)) | (~v160(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38865, 38864])).
% 16.25/12.31 tff(38867,plain,
% 16.25/12.31 ((~(v187(constB147) <=> (~((~v184(constB147)) | (~v160(constB147)))))) | (~v187(constB147)) | (~((~v184(constB147)) | (~v160(constB147))))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38868,plain,
% 16.25/12.31 (~v187(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38867, 38866, 38790])).
% 16.25/12.31 tff(38869,plain,
% 16.25/12.31 (((~v186(constB147)) | (~v187(constB147))) | v187(constB147)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38870,plain,
% 16.25/12.31 ((~v186(constB147)) | (~v187(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38869, 38868])).
% 16.25/12.31 tff(38871,plain,
% 16.25/12.31 ((~(v185(constB147) <=> (~((~v186(constB147)) | (~v187(constB147)))))) | (~v185(constB147)) | (~((~v186(constB147)) | (~v187(constB147))))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38872,plain,
% 16.25/12.31 (~v185(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38871, 38870, 38788])).
% 16.25/12.31 tff(38873,plain,
% 16.25/12.31 ((~(v181(constB147) | v185(constB147))) | v181(constB147) | v185(constB147)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38874,plain,
% 16.25/12.31 (~(v181(constB147) | v185(constB147))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38873, 38872, 38786])).
% 16.25/12.31 tff(38875,plain,
% 16.25/12.31 ((~(v178(constB147) <=> (v181(constB147) | v185(constB147)))) | (~v178(constB147)) | (v181(constB147) | v185(constB147))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38876,plain,
% 16.25/12.31 (~v178(constB147)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38875, 38874, 38775])).
% 16.25/12.31 tff(38877,plain,
% 16.25/12.31 ((~(v180(constB148) <=> v178(constB147))) | (~v180(constB148)) | v178(constB147)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38878,plain,
% 16.25/12.31 (~v180(constB148)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38877, 38876, 38773])).
% 16.25/12.31 tff(38879,plain,
% 16.25/12.31 ((~(v158(constB148) <=> v180(constB148))) | (~v158(constB148)) | v180(constB148)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38880,plain,
% 16.25/12.31 (~v158(constB148)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38879, 38878, 38769])).
% 16.25/12.31 tff(38881,plain,
% 16.25/12.31 (((~v158(constB148)) | (~v182(constB148))) | v158(constB148)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38882,plain,
% 16.25/12.31 ((~v158(constB148)) | (~v182(constB148))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38881, 38880])).
% 16.25/12.31 tff(38883,plain,
% 16.25/12.31 ((~(v181(constB148) <=> (~((~v158(constB148)) | (~v182(constB148)))))) | (~v181(constB148)) | (~((~v158(constB148)) | (~v182(constB148))))),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38884,plain,
% 16.25/12.31 (~v181(constB148)),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38883, 38882, 38767])).
% 16.25/12.31 tff(38885,plain,
% 16.25/12.31 ((~(v181(constB148) | v185(constB148))) | v181(constB148) | v185(constB148)),
% 16.25/12.31 inference(tautology,[status(thm)],[])).
% 16.25/12.31 tff(38886,plain,
% 16.25/12.31 (~(v181(constB148) | v185(constB148))),
% 16.25/12.31 inference(unit_resolution,[status(thm)],[38885, 38884, 38760])).
% 16.25/12.31 tff(38887,plain,
% 16.25/12.31 ((~(v178(constB148) <=> (v181(constB148) | v185(constB148)))) | (~v178(constB148)) | (v181(constB148) | v185(constB148))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38888,plain,
% 16.25/12.32 (~v178(constB148)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38887, 38886, 38747])).
% 16.25/12.32 tff(38889,plain,
% 16.25/12.32 ((~(v180(constB149) <=> v178(constB148))) | (~v180(constB149)) | v178(constB148)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38890,plain,
% 16.25/12.32 (~v180(constB149)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38889, 38888, 38745])).
% 16.25/12.32 tff(38891,plain,
% 16.25/12.32 ((~(v158(constB149) <=> v180(constB149))) | (~v158(constB149)) | v180(constB149)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38892,plain,
% 16.25/12.32 (~v158(constB149)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38891, 38890, 38741])).
% 16.25/12.32 tff(38893,plain,
% 16.25/12.32 (((~v158(constB149)) | (~v206(constB149))) | v158(constB149)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38894,plain,
% 16.25/12.32 ((~v158(constB149)) | (~v206(constB149))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38893, 38892])).
% 16.25/12.32 tff(38895,plain,
% 16.25/12.32 ((~(v205(constB149) <=> (~((~v158(constB149)) | (~v206(constB149)))))) | (~v205(constB149)) | (~((~v158(constB149)) | (~v206(constB149))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38896,plain,
% 16.25/12.32 (~v205(constB149)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38895, 38894, 38739])).
% 16.25/12.32 tff(38897,plain,
% 16.25/12.32 ((~(v205(constB149) | v209(constB149))) | v205(constB149) | v209(constB149)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38898,plain,
% 16.25/12.32 (~(v205(constB149) | v209(constB149))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38897, 38896, 38732])).
% 16.25/12.32 tff(38899,plain,
% 16.25/12.32 ((~(v204(constB149) <=> (v205(constB149) | v209(constB149)))) | (~v204(constB149)) | (v205(constB149) | v209(constB149))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38900,plain,
% 16.25/12.32 (~v204(constB149)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38899, 38898, 38332])).
% 16.25/12.32 tff(38901,plain,
% 16.25/12.32 ($false),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38900, 38330])).
% 16.25/12.32 tff(38902,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.25/12.32 tff(38903,assumption,(constB32 = VarCurr!0), introduced(assumption)).
% 16.25/12.32 tff(38904,plain,
% 16.25/12.32 (v204(constB32) <=> v204(VarCurr!0)),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38903])).
% 16.25/12.32 tff(38905,plain,
% 16.25/12.32 (v204(VarCurr!0) <=> v204(constB32)),
% 16.25/12.32 inference(symmetry,[status(thm)],[38904])).
% 16.25/12.32 tff(38906,plain,
% 16.25/12.32 (v204(constB32)),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[27, 38905])).
% 16.25/12.32 tff(38907,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB32) <=> (v205(constB32) | v209(constB32)))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38908,plain,
% 16.25/12.32 (v204(constB32) <=> (v205(constB32) | v209(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38907, 35])).
% 16.25/12.32 tff(38909,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32))))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38910,plain,
% 16.25/12.32 ((v209(constB32) <=> (~((~v206(constB32)) | (~v191(constB32))))) <=> (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32)))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38911,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v206(constB32)) | (~v191(constB32)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32))))))),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38910])).
% 16.25/12.32 tff(38912,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v206(constB32)) | (~v191(constB32)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32))))))),
% 16.25/12.32 inference(transitivity,[status(thm)],[38911, 38909])).
% 16.25/12.32 tff(38913,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v206(constB32)) | (~v191(constB32)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38914,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32)))))),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[38913, 38912])).
% 16.25/12.32 tff(38915,plain,
% 16.25/12.32 (v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38914, 47])).
% 16.25/12.32 tff(38916,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB32) <=> (~((~v186(constB32)) | (~v207(constB32)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38917,plain,
% 16.25/12.32 (v206(constB32) <=> (~((~v186(constB32)) | (~v207(constB32))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38916, 16227])).
% 16.25/12.32 tff(38918,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32))))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38919,plain,
% 16.25/12.32 ((v207(constB32) <=> (~((~v208(constB32)) | (~v184(constB32))))) <=> (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32)))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38920,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v208(constB32)) | (~v184(constB32)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32))))))),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38919])).
% 16.25/12.32 tff(38921,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v208(constB32)) | (~v184(constB32)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32))))))),
% 16.25/12.32 inference(transitivity,[status(thm)],[38920, 38918])).
% 16.25/12.32 tff(38922,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v208(constB32)) | (~v184(constB32)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38923,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32)))))),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[38922, 38921])).
% 16.25/12.32 tff(38924,plain,
% 16.25/12.32 (v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38923, 16239])).
% 16.25/12.32 tff(38925,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38926,plain,
% 16.25/12.32 (v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38925, 138])).
% 16.25/12.32 tff(38927,plain,
% 16.25/12.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38928,plain,
% 16.25/12.32 ((~v39(constB32)) <=> v1(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38927, 147])).
% 16.25/12.32 tff(38929,plain,
% 16.25/12.32 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38930,plain,
% 16.25/12.32 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38929, 7022])).
% 16.25/12.32 tff(38931,plain,
% 16.25/12.32 (~v39(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38930, 38928])).
% 16.25/12.32 tff(38932,plain,
% 16.25/12.32 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38933,plain,
% 16.25/12.32 ((~v39(constB32)) | (~v9(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38932, 38931])).
% 16.25/12.32 tff(38934,plain,
% 16.25/12.32 ((~(v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v184(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38935,plain,
% 16.25/12.32 ((~(v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v184(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38934, 38933])).
% 16.25/12.32 tff(38936,plain,
% 16.25/12.32 (~v184(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38935, 38926])).
% 16.25/12.32 tff(38937,plain,
% 16.25/12.32 (((~v184(constB32)) | (~v208(constB32))) | v184(constB32)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38938,plain,
% 16.25/12.32 ((~v184(constB32)) | (~v208(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38937, 38936])).
% 16.25/12.32 tff(38939,plain,
% 16.25/12.32 ((~(v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32)))))) | (~v207(constB32)) | (~((~v184(constB32)) | (~v208(constB32))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38940,plain,
% 16.25/12.32 ((~(v207(constB32) <=> (~((~v184(constB32)) | (~v208(constB32)))))) | (~v207(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38939, 38938])).
% 16.25/12.32 tff(38941,plain,
% 16.25/12.32 (~v207(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38940, 38924])).
% 16.25/12.32 tff(38942,plain,
% 16.25/12.32 (((~v186(constB32)) | (~v207(constB32))) | v207(constB32)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38943,plain,
% 16.25/12.32 ((~v186(constB32)) | (~v207(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38942, 38941])).
% 16.25/12.32 tff(38944,plain,
% 16.25/12.32 ((~(v206(constB32) <=> (~((~v186(constB32)) | (~v207(constB32)))))) | (~v206(constB32)) | (~((~v186(constB32)) | (~v207(constB32))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38945,plain,
% 16.25/12.32 (~v206(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38944, 38943, 38917])).
% 16.25/12.32 tff(38946,plain,
% 16.25/12.32 (((~v191(constB32)) | (~v206(constB32))) | v206(constB32)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38947,plain,
% 16.25/12.32 ((~v191(constB32)) | (~v206(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38946, 38945])).
% 16.25/12.32 tff(38948,plain,
% 16.25/12.32 ((~(v209(constB32) <=> (~((~v191(constB32)) | (~v206(constB32)))))) | (~v209(constB32)) | (~((~v191(constB32)) | (~v206(constB32))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38949,plain,
% 16.25/12.32 (~v209(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38948, 38947, 38915])).
% 16.25/12.32 tff(38950,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32))))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38951,plain,
% 16.25/12.32 ((v205(constB32) <=> (~((~v206(constB32)) | (~v158(constB32))))) <=> (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32)))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38952,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v206(constB32)) | (~v158(constB32)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32))))))),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38951])).
% 16.25/12.32 tff(38953,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v206(constB32)) | (~v158(constB32)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32))))))),
% 16.25/12.32 inference(transitivity,[status(thm)],[38952, 38950])).
% 16.25/12.32 tff(38954,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v206(constB32)) | (~v158(constB32)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38955,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32)))))),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[38954, 38953])).
% 16.25/12.32 tff(38956,plain,
% 16.25/12.32 (v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38955, 2502])).
% 16.25/12.32 tff(38957,plain,
% 16.25/12.32 (((~v158(constB32)) | (~v206(constB32))) | v206(constB32)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38958,plain,
% 16.25/12.32 ((~v158(constB32)) | (~v206(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38957, 38945])).
% 16.25/12.32 tff(38959,plain,
% 16.25/12.32 ((~(v205(constB32) <=> (~((~v158(constB32)) | (~v206(constB32)))))) | (~v205(constB32)) | (~((~v158(constB32)) | (~v206(constB32))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38960,plain,
% 16.25/12.32 (~v205(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38959, 38958, 38956])).
% 16.25/12.32 tff(38961,plain,
% 16.25/12.32 ((~(v205(constB32) | v209(constB32))) | v205(constB32) | v209(constB32)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38962,plain,
% 16.25/12.32 (~(v205(constB32) | v209(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38961, 38960, 38949])).
% 16.25/12.32 tff(38963,plain,
% 16.25/12.32 ((~(v204(constB32) <=> (v205(constB32) | v209(constB32)))) | (~v204(constB32)) | (v205(constB32) | v209(constB32))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38964,plain,
% 16.25/12.32 ((~(v204(constB32) <=> (v205(constB32) | v209(constB32)))) | (~v204(constB32))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38963, 38962])).
% 16.25/12.32 tff(38965,plain,
% 16.25/12.32 (~v204(constB32)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38964, 38908])).
% 16.25/12.32 tff(38966,plain,
% 16.25/12.32 ($false),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38965, 38906])).
% 16.25/12.32 tff(38967,plain,(~(constB32 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.25/12.32 tff(38968,assumption,(constB2 = VarCurr!0), introduced(assumption)).
% 16.25/12.32 tff(38969,plain,
% 16.25/12.32 (v204(constB2) <=> v204(VarCurr!0)),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38968])).
% 16.25/12.32 tff(38970,plain,
% 16.25/12.32 (v204(VarCurr!0) <=> v204(constB2)),
% 16.25/12.32 inference(symmetry,[status(thm)],[38969])).
% 16.25/12.32 tff(38971,plain,
% 16.25/12.32 (v204(constB2)),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[27, 38970])).
% 16.25/12.32 tff(38972,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB2) <=> (v205(constB2) | v209(constB2)))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38973,plain,
% 16.25/12.32 (v204(constB2) <=> (v205(constB2) | v209(constB2))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38972, 35])).
% 16.25/12.32 tff(38974,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2))))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38975,plain,
% 16.25/12.32 ((v209(constB2) <=> (~((~v206(constB2)) | (~v191(constB2))))) <=> (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2)))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38976,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v206(constB2)) | (~v191(constB2)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2))))))),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38975])).
% 16.25/12.32 tff(38977,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v206(constB2)) | (~v191(constB2)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2))))))),
% 16.25/12.32 inference(transitivity,[status(thm)],[38976, 38974])).
% 16.25/12.32 tff(38978,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v206(constB2)) | (~v191(constB2)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38979,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2)))))),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[38978, 38977])).
% 16.25/12.32 tff(38980,plain,
% 16.25/12.32 (v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38979, 47])).
% 16.25/12.32 tff(38981,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB2) <=> (~((~v186(constB2)) | (~v207(constB2)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38982,plain,
% 16.25/12.32 (v206(constB2) <=> (~((~v186(constB2)) | (~v207(constB2))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38981, 16227])).
% 16.25/12.32 tff(38983,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2))))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38984,plain,
% 16.25/12.32 ((v207(constB2) <=> (~((~v208(constB2)) | (~v184(constB2))))) <=> (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2)))))),
% 16.25/12.32 inference(rewrite,[status(thm)],[])).
% 16.25/12.32 tff(38985,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v208(constB2)) | (~v184(constB2)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2))))))),
% 16.25/12.32 inference(monotonicity,[status(thm)],[38984])).
% 16.25/12.32 tff(38986,plain,
% 16.25/12.32 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v208(constB2)) | (~v184(constB2)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2))))))),
% 16.25/12.32 inference(transitivity,[status(thm)],[38985, 38983])).
% 16.25/12.32 tff(38987,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v208(constB2)) | (~v184(constB2)))))),
% 16.25/12.32 inference(quant_inst,[status(thm)],[])).
% 16.25/12.32 tff(38988,plain,
% 16.25/12.32 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2)))))),
% 16.25/12.32 inference(modus_ponens,[status(thm)],[38987, 38986])).
% 16.25/12.32 tff(38989,plain,
% 16.25/12.32 (v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2))))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38988, 16239])).
% 16.25/12.32 tff(38990,plain,
% 16.25/12.32 (((~v184(constB2)) | (~v208(constB2))) | v184(constB2)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38991,plain,
% 16.25/12.32 ((~v184(constB2)) | (~v208(constB2))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38990, 36775])).
% 16.25/12.32 tff(38992,plain,
% 16.25/12.32 ((~(v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2)))))) | (~v207(constB2)) | (~((~v184(constB2)) | (~v208(constB2))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38993,plain,
% 16.25/12.32 ((~(v207(constB2) <=> (~((~v184(constB2)) | (~v208(constB2)))))) | (~v207(constB2))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38992, 38991])).
% 16.25/12.32 tff(38994,plain,
% 16.25/12.32 (~v207(constB2)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38993, 38989])).
% 16.25/12.32 tff(38995,plain,
% 16.25/12.32 (((~v186(constB2)) | (~v207(constB2))) | v207(constB2)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38996,plain,
% 16.25/12.32 ((~v186(constB2)) | (~v207(constB2))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38995, 38994])).
% 16.25/12.32 tff(38997,plain,
% 16.25/12.32 ((~(v206(constB2) <=> (~((~v186(constB2)) | (~v207(constB2)))))) | (~v206(constB2)) | (~((~v186(constB2)) | (~v207(constB2))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(38998,plain,
% 16.25/12.32 (~v206(constB2)),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38997, 38996, 38982])).
% 16.25/12.32 tff(38999,plain,
% 16.25/12.32 (((~v191(constB2)) | (~v206(constB2))) | v206(constB2)),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.32 tff(39000,plain,
% 16.25/12.32 ((~v191(constB2)) | (~v206(constB2))),
% 16.25/12.32 inference(unit_resolution,[status(thm)],[38999, 38998])).
% 16.25/12.32 tff(39001,plain,
% 16.25/12.32 ((~(v209(constB2) <=> (~((~v191(constB2)) | (~v206(constB2)))))) | (~v209(constB2)) | (~((~v191(constB2)) | (~v206(constB2))))),
% 16.25/12.32 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39002,plain,
% 16.25/12.33 (~v209(constB2)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39001, 39000, 38980])).
% 16.25/12.33 tff(39003,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2))))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39004,plain,
% 16.25/12.33 ((v205(constB2) <=> (~((~v206(constB2)) | (~v158(constB2))))) <=> (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2)))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39005,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v206(constB2)) | (~v158(constB2)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2))))))),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39004])).
% 16.25/12.33 tff(39006,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v206(constB2)) | (~v158(constB2)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2))))))),
% 16.25/12.33 inference(transitivity,[status(thm)],[39005, 39003])).
% 16.25/12.33 tff(39007,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v206(constB2)) | (~v158(constB2)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39008,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2)))))),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[39007, 39006])).
% 16.25/12.33 tff(39009,plain,
% 16.25/12.33 (v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39008, 2502])).
% 16.25/12.33 tff(39010,plain,
% 16.25/12.33 (((~v158(constB2)) | (~v206(constB2))) | v206(constB2)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39011,plain,
% 16.25/12.33 ((~v158(constB2)) | (~v206(constB2))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39010, 38998])).
% 16.25/12.33 tff(39012,plain,
% 16.25/12.33 ((~(v205(constB2) <=> (~((~v158(constB2)) | (~v206(constB2)))))) | (~v205(constB2)) | (~((~v158(constB2)) | (~v206(constB2))))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39013,plain,
% 16.25/12.33 (~v205(constB2)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39012, 39011, 39009])).
% 16.25/12.33 tff(39014,plain,
% 16.25/12.33 ((~(v205(constB2) | v209(constB2))) | v205(constB2) | v209(constB2)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39015,plain,
% 16.25/12.33 (~(v205(constB2) | v209(constB2))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39014, 39013, 39002])).
% 16.25/12.33 tff(39016,plain,
% 16.25/12.33 ((~(v204(constB2) <=> (v205(constB2) | v209(constB2)))) | (~v204(constB2)) | (v205(constB2) | v209(constB2))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39017,plain,
% 16.25/12.33 ((~(v204(constB2) <=> (v205(constB2) | v209(constB2)))) | (~v204(constB2))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39016, 39015])).
% 16.25/12.33 tff(39018,plain,
% 16.25/12.33 (~v204(constB2)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39017, 38973])).
% 16.25/12.33 tff(39019,plain,
% 16.25/12.33 ($false),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39018, 38971])).
% 16.25/12.33 tff(39020,plain,(~(constB2 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.25/12.33 tff(39021,assumption,(constB50 = VarCurr!0), introduced(assumption)).
% 16.25/12.33 tff(39022,plain,
% 16.25/12.33 (v204(constB50) <=> v204(VarCurr!0)),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39021])).
% 16.25/12.33 tff(39023,plain,
% 16.25/12.33 (v204(VarCurr!0) <=> v204(constB50)),
% 16.25/12.33 inference(symmetry,[status(thm)],[39022])).
% 16.25/12.33 tff(39024,plain,
% 16.25/12.33 (v204(constB50)),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[27, 39023])).
% 16.25/12.33 tff(39025,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB50) <=> (v205(constB50) | v209(constB50)))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39026,plain,
% 16.25/12.33 (v204(constB50) <=> (v205(constB50) | v209(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39025, 35])).
% 16.25/12.33 tff(39027,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50))))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39028,plain,
% 16.25/12.33 ((v209(constB50) <=> (~((~v206(constB50)) | (~v191(constB50))))) <=> (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50)))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39029,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v206(constB50)) | (~v191(constB50)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50))))))),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39028])).
% 16.25/12.33 tff(39030,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v206(constB50)) | (~v191(constB50)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50))))))),
% 16.25/12.33 inference(transitivity,[status(thm)],[39029, 39027])).
% 16.25/12.33 tff(39031,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v206(constB50)) | (~v191(constB50)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39032,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50)))))),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[39031, 39030])).
% 16.25/12.33 tff(39033,plain,
% 16.25/12.33 (v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39032, 47])).
% 16.25/12.33 tff(39034,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB50) <=> (~((~v186(constB50)) | (~v207(constB50)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39035,plain,
% 16.25/12.33 (v206(constB50) <=> (~((~v186(constB50)) | (~v207(constB50))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39034, 16227])).
% 16.25/12.33 tff(39036,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50))))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39037,plain,
% 16.25/12.33 ((v207(constB50) <=> (~((~v208(constB50)) | (~v184(constB50))))) <=> (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50)))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39038,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v208(constB50)) | (~v184(constB50)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50))))))),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39037])).
% 16.25/12.33 tff(39039,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v208(constB50)) | (~v184(constB50)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50))))))),
% 16.25/12.33 inference(transitivity,[status(thm)],[39038, 39036])).
% 16.25/12.33 tff(39040,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v208(constB50)) | (~v184(constB50)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39041,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50)))))),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[39040, 39039])).
% 16.25/12.33 tff(39042,plain,
% 16.25/12.33 (v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39041, 16239])).
% 16.25/12.33 tff(39043,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39044,plain,
% 16.25/12.33 (v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39043, 138])).
% 16.25/12.33 tff(39045,plain,
% 16.25/12.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39046,plain,
% 16.25/12.33 ((~v39(constB50)) <=> v1(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39045, 147])).
% 16.25/12.33 tff(39047,plain,
% 16.25/12.33 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39048,plain,
% 16.25/12.33 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39047, 6203])).
% 16.25/12.33 tff(39049,plain,
% 16.25/12.33 (~v39(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39048, 39046])).
% 16.25/12.33 tff(39050,plain,
% 16.25/12.33 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39051,plain,
% 16.25/12.33 ((~v39(constB50)) | (~v9(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39050, 39049])).
% 16.25/12.33 tff(39052,plain,
% 16.25/12.33 ((~(v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v184(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39053,plain,
% 16.25/12.33 ((~(v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v184(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39052, 39051])).
% 16.25/12.33 tff(39054,plain,
% 16.25/12.33 (~v184(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39053, 39044])).
% 16.25/12.33 tff(39055,plain,
% 16.25/12.33 (((~v184(constB50)) | (~v208(constB50))) | v184(constB50)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39056,plain,
% 16.25/12.33 ((~v184(constB50)) | (~v208(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39055, 39054])).
% 16.25/12.33 tff(39057,plain,
% 16.25/12.33 ((~(v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50)))))) | (~v207(constB50)) | (~((~v184(constB50)) | (~v208(constB50))))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39058,plain,
% 16.25/12.33 ((~(v207(constB50) <=> (~((~v184(constB50)) | (~v208(constB50)))))) | (~v207(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39057, 39056])).
% 16.25/12.33 tff(39059,plain,
% 16.25/12.33 (~v207(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39058, 39042])).
% 16.25/12.33 tff(39060,plain,
% 16.25/12.33 (((~v186(constB50)) | (~v207(constB50))) | v207(constB50)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39061,plain,
% 16.25/12.33 ((~v186(constB50)) | (~v207(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39060, 39059])).
% 16.25/12.33 tff(39062,plain,
% 16.25/12.33 ((~(v206(constB50) <=> (~((~v186(constB50)) | (~v207(constB50)))))) | (~v206(constB50)) | (~((~v186(constB50)) | (~v207(constB50))))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39063,plain,
% 16.25/12.33 (~v206(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39062, 39061, 39035])).
% 16.25/12.33 tff(39064,plain,
% 16.25/12.33 (((~v191(constB50)) | (~v206(constB50))) | v206(constB50)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39065,plain,
% 16.25/12.33 ((~v191(constB50)) | (~v206(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39064, 39063])).
% 16.25/12.33 tff(39066,plain,
% 16.25/12.33 ((~(v209(constB50) <=> (~((~v191(constB50)) | (~v206(constB50)))))) | (~v209(constB50)) | (~((~v191(constB50)) | (~v206(constB50))))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39067,plain,
% 16.25/12.33 (~v209(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39066, 39065, 39033])).
% 16.25/12.33 tff(39068,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50))))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39069,plain,
% 16.25/12.33 ((v205(constB50) <=> (~((~v206(constB50)) | (~v158(constB50))))) <=> (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50)))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39070,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v206(constB50)) | (~v158(constB50)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50))))))),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39069])).
% 16.25/12.33 tff(39071,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v206(constB50)) | (~v158(constB50)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50))))))),
% 16.25/12.33 inference(transitivity,[status(thm)],[39070, 39068])).
% 16.25/12.33 tff(39072,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v206(constB50)) | (~v158(constB50)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39073,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50)))))),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[39072, 39071])).
% 16.25/12.33 tff(39074,plain,
% 16.25/12.33 (v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39073, 2502])).
% 16.25/12.33 tff(39075,plain,
% 16.25/12.33 (((~v158(constB50)) | (~v206(constB50))) | v206(constB50)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39076,plain,
% 16.25/12.33 ((~v158(constB50)) | (~v206(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39075, 39063])).
% 16.25/12.33 tff(39077,plain,
% 16.25/12.33 ((~(v205(constB50) <=> (~((~v158(constB50)) | (~v206(constB50)))))) | (~v205(constB50)) | (~((~v158(constB50)) | (~v206(constB50))))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39078,plain,
% 16.25/12.33 (~v205(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39077, 39076, 39074])).
% 16.25/12.33 tff(39079,plain,
% 16.25/12.33 ((~(v205(constB50) | v209(constB50))) | v205(constB50) | v209(constB50)),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39080,plain,
% 16.25/12.33 (~(v205(constB50) | v209(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39079, 39078, 39067])).
% 16.25/12.33 tff(39081,plain,
% 16.25/12.33 ((~(v204(constB50) <=> (v205(constB50) | v209(constB50)))) | (~v204(constB50)) | (v205(constB50) | v209(constB50))),
% 16.25/12.33 inference(tautology,[status(thm)],[])).
% 16.25/12.33 tff(39082,plain,
% 16.25/12.33 ((~(v204(constB50) <=> (v205(constB50) | v209(constB50)))) | (~v204(constB50))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39081, 39080])).
% 16.25/12.33 tff(39083,plain,
% 16.25/12.33 (~v204(constB50)),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39082, 39026])).
% 16.25/12.33 tff(39084,plain,
% 16.25/12.33 ($false),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39083, 39024])).
% 16.25/12.33 tff(39085,plain,(~(constB50 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.25/12.33 tff(39086,assumption,(constB200 = VarCurr!0), introduced(assumption)).
% 16.25/12.33 tff(39087,plain,
% 16.25/12.33 (v204(constB200) <=> v204(VarCurr!0)),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39086])).
% 16.25/12.33 tff(39088,plain,
% 16.25/12.33 (v204(VarCurr!0) <=> v204(constB200)),
% 16.25/12.33 inference(symmetry,[status(thm)],[39087])).
% 16.25/12.33 tff(39089,plain,
% 16.25/12.33 (v204(constB200)),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[27, 39088])).
% 16.25/12.33 tff(39090,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB200) <=> (v205(constB200) | v209(constB200)))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39091,plain,
% 16.25/12.33 (v204(constB200) <=> (v205(constB200) | v209(constB200))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39090, 35])).
% 16.25/12.33 tff(39092,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200))))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39093,plain,
% 16.25/12.33 ((v205(constB200) <=> (~((~v206(constB200)) | (~v158(constB200))))) <=> (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200)))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39094,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v206(constB200)) | (~v158(constB200)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200))))))),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39093])).
% 16.25/12.33 tff(39095,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v206(constB200)) | (~v158(constB200)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200))))))),
% 16.25/12.33 inference(transitivity,[status(thm)],[39094, 39092])).
% 16.25/12.33 tff(39096,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v206(constB200)) | (~v158(constB200)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39097,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200)))))),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[39096, 39095])).
% 16.25/12.33 tff(39098,plain,
% 16.25/12.33 (v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39097, 2502])).
% 16.25/12.33 tff(39099,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB200) <=> (~((~v186(constB200)) | (~v207(constB200)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39100,plain,
% 16.25/12.33 (v206(constB200) <=> (~((~v186(constB200)) | (~v207(constB200))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39099, 16227])).
% 16.25/12.33 tff(39101,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200))))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39102,plain,
% 16.25/12.33 ((v207(constB200) <=> (~((~v208(constB200)) | (~v184(constB200))))) <=> (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200)))))),
% 16.25/12.33 inference(rewrite,[status(thm)],[])).
% 16.25/12.33 tff(39103,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v208(constB200)) | (~v184(constB200)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200))))))),
% 16.25/12.33 inference(monotonicity,[status(thm)],[39102])).
% 16.25/12.33 tff(39104,plain,
% 16.25/12.33 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v208(constB200)) | (~v184(constB200)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200))))))),
% 16.25/12.33 inference(transitivity,[status(thm)],[39103, 39101])).
% 16.25/12.33 tff(39105,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v208(constB200)) | (~v184(constB200)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.33 tff(39106,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200)))))),
% 16.25/12.33 inference(modus_ponens,[status(thm)],[39105, 39104])).
% 16.25/12.33 tff(39107,plain,
% 16.25/12.33 (v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200))))),
% 16.25/12.33 inference(unit_resolution,[status(thm)],[39106, 16239])).
% 16.25/12.33 tff(39108,plain,
% 16.25/12.33 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB200) <=> (~((~v39(constB200)) | (~v9(constB200)))))),
% 16.25/12.33 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39109,plain,
% 16.25/12.34 (v184(constB200) <=> (~((~v39(constB200)) | (~v9(constB200))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39108, 138])).
% 16.25/12.34 tff(39110,plain,
% 16.25/12.34 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB200)) <=> v1(constB200))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39111,plain,
% 16.25/12.34 ((~v39(constB200)) <=> v1(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39110, 147])).
% 16.25/12.34 tff(39112,plain,
% 16.25/12.34 (v1(constB200) <=> v1(constB200)),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39113,axiom,(v1(constB200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_200')).
% 16.25/12.34 tff(39114,plain,
% 16.25/12.34 (v1(constB200)),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[39113, 39112])).
% 16.25/12.34 tff(39115,plain,
% 16.25/12.34 ((~((~v39(constB200)) <=> v1(constB200))) | (~v39(constB200)) | (~v1(constB200))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39116,plain,
% 16.25/12.34 ((~((~v39(constB200)) <=> v1(constB200))) | (~v39(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39115, 39114])).
% 16.25/12.34 tff(39117,plain,
% 16.25/12.34 (~v39(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39116, 39111])).
% 16.25/12.34 tff(39118,plain,
% 16.25/12.34 (((~v39(constB200)) | (~v9(constB200))) | v39(constB200)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39119,plain,
% 16.25/12.34 ((~v39(constB200)) | (~v9(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39118, 39117])).
% 16.25/12.34 tff(39120,plain,
% 16.25/12.34 ((~(v184(constB200) <=> (~((~v39(constB200)) | (~v9(constB200)))))) | (~v184(constB200)) | (~((~v39(constB200)) | (~v9(constB200))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39121,plain,
% 16.25/12.34 ((~(v184(constB200) <=> (~((~v39(constB200)) | (~v9(constB200)))))) | (~v184(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39120, 39119])).
% 16.25/12.34 tff(39122,plain,
% 16.25/12.34 (~v184(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39121, 39109])).
% 16.25/12.34 tff(39123,plain,
% 16.25/12.34 (((~v184(constB200)) | (~v208(constB200))) | v184(constB200)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39124,plain,
% 16.25/12.34 ((~v184(constB200)) | (~v208(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39123, 39122])).
% 16.25/12.34 tff(39125,plain,
% 16.25/12.34 ((~(v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200)))))) | (~v207(constB200)) | (~((~v184(constB200)) | (~v208(constB200))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39126,plain,
% 16.25/12.34 ((~(v207(constB200) <=> (~((~v184(constB200)) | (~v208(constB200)))))) | (~v207(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39125, 39124])).
% 16.25/12.34 tff(39127,plain,
% 16.25/12.34 (~v207(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39126, 39107])).
% 16.25/12.34 tff(39128,plain,
% 16.25/12.34 (((~v186(constB200)) | (~v207(constB200))) | v207(constB200)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39129,plain,
% 16.25/12.34 ((~v186(constB200)) | (~v207(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39128, 39127])).
% 16.25/12.34 tff(39130,plain,
% 16.25/12.34 ((~(v206(constB200) <=> (~((~v186(constB200)) | (~v207(constB200)))))) | (~v206(constB200)) | (~((~v186(constB200)) | (~v207(constB200))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39131,plain,
% 16.25/12.34 ((~(v206(constB200) <=> (~((~v186(constB200)) | (~v207(constB200)))))) | (~v206(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39130, 39129])).
% 16.25/12.34 tff(39132,plain,
% 16.25/12.34 (~v206(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39131, 39100])).
% 16.25/12.34 tff(39133,plain,
% 16.25/12.34 (((~v158(constB200)) | (~v206(constB200))) | v206(constB200)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39134,plain,
% 16.25/12.34 ((~v158(constB200)) | (~v206(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39133, 39132])).
% 16.25/12.34 tff(39135,plain,
% 16.25/12.34 ((~(v205(constB200) <=> (~((~v158(constB200)) | (~v206(constB200)))))) | (~v205(constB200)) | (~((~v158(constB200)) | (~v206(constB200))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39136,plain,
% 16.25/12.34 (~v205(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39135, 39134, 39098])).
% 16.25/12.34 tff(39137,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200))))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39138,plain,
% 16.25/12.34 ((v209(constB200) <=> (~((~v206(constB200)) | (~v191(constB200))))) <=> (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200)))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39139,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v206(constB200)) | (~v191(constB200)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200))))))),
% 16.25/12.34 inference(monotonicity,[status(thm)],[39138])).
% 16.25/12.34 tff(39140,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v206(constB200)) | (~v191(constB200)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200))))))),
% 16.25/12.34 inference(transitivity,[status(thm)],[39139, 39137])).
% 16.25/12.34 tff(39141,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v206(constB200)) | (~v191(constB200)))))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39142,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200)))))),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[39141, 39140])).
% 16.25/12.34 tff(39143,plain,
% 16.25/12.34 (v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39142, 47])).
% 16.25/12.34 tff(39144,plain,
% 16.25/12.34 (((~v191(constB200)) | (~v206(constB200))) | v206(constB200)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39145,plain,
% 16.25/12.34 ((~v191(constB200)) | (~v206(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39144, 39132])).
% 16.25/12.34 tff(39146,plain,
% 16.25/12.34 ((~(v209(constB200) <=> (~((~v191(constB200)) | (~v206(constB200)))))) | (~v209(constB200)) | (~((~v191(constB200)) | (~v206(constB200))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39147,plain,
% 16.25/12.34 (~v209(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39146, 39145, 39143])).
% 16.25/12.34 tff(39148,plain,
% 16.25/12.34 ((~(v205(constB200) | v209(constB200))) | v205(constB200) | v209(constB200)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39149,plain,
% 16.25/12.34 (~(v205(constB200) | v209(constB200))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39148, 39147, 39136])).
% 16.25/12.34 tff(39150,plain,
% 16.25/12.34 ((~(v204(constB200) <=> (v205(constB200) | v209(constB200)))) | (~v204(constB200)) | (v205(constB200) | v209(constB200))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39151,plain,
% 16.25/12.34 (~v204(constB200)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39150, 39149, 39091])).
% 16.25/12.34 tff(39152,plain,
% 16.25/12.34 ($false),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39151, 39089])).
% 16.25/12.34 tff(39153,plain,(~(constB200 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.25/12.34 tff(39154,assumption,(constB107 = VarCurr!0), introduced(assumption)).
% 16.25/12.34 tff(39155,plain,
% 16.25/12.34 (v204(constB107) <=> v204(VarCurr!0)),
% 16.25/12.34 inference(monotonicity,[status(thm)],[39154])).
% 16.25/12.34 tff(39156,plain,
% 16.25/12.34 (v204(VarCurr!0) <=> v204(constB107)),
% 16.25/12.34 inference(symmetry,[status(thm)],[39155])).
% 16.25/12.34 tff(39157,plain,
% 16.25/12.34 (v204(constB107)),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[27, 39156])).
% 16.25/12.34 tff(39158,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB107) <=> (v205(constB107) | v209(constB107)))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39159,plain,
% 16.25/12.34 (v204(constB107) <=> (v205(constB107) | v209(constB107))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39158, 35])).
% 16.25/12.34 tff(39160,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107))))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39161,plain,
% 16.25/12.34 ((v205(constB107) <=> (~((~v206(constB107)) | (~v158(constB107))))) <=> (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107)))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39162,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v206(constB107)) | (~v158(constB107)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107))))))),
% 16.25/12.34 inference(monotonicity,[status(thm)],[39161])).
% 16.25/12.34 tff(39163,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v206(constB107)) | (~v158(constB107)))))) <=> ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107))))))),
% 16.25/12.34 inference(transitivity,[status(thm)],[39162, 39160])).
% 16.25/12.34 tff(39164,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v206(constB107)) | (~v158(constB107)))))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39165,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v158(VarCurr)))))) | (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107)))))),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[39164, 39163])).
% 16.25/12.34 tff(39166,plain,
% 16.25/12.34 (v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39165, 2502])).
% 16.25/12.34 tff(39167,plain,
% 16.25/12.34 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB107) <=> v180(constB107))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39168,plain,
% 16.25/12.34 (v158(constB107) <=> v180(constB107)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39167, 358])).
% 16.25/12.34 tff(39169,plain,
% 16.25/12.34 (((~![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)))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39170,plain,
% 16.25/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39171,plain,
% 16.25/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106))),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[39170, 39169])).
% 16.25/12.34 tff(39172,plain,
% 16.25/12.34 (v180(constB107) <=> v178(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39171, 3557, 370])).
% 16.25/12.34 tff(39173,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB106) <=> (v181(constB106) | v185(constB106)))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39174,plain,
% 16.25/12.34 (v178(constB106) <=> (v181(constB106) | v185(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39173, 384])).
% 16.25/12.34 tff(39175,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106)))))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39176,plain,
% 16.25/12.34 (v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39175, 396])).
% 16.25/12.34 tff(39177,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB106) <=> (~((~v184(constB106)) | (~v160(constB106)))))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39178,plain,
% 16.25/12.34 (v187(constB106) <=> (~((~v184(constB106)) | (~v160(constB106))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39177, 408])).
% 16.25/12.34 tff(39179,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39180,plain,
% 16.25/12.34 (v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39179, 138])).
% 16.25/12.34 tff(39181,plain,
% 16.25/12.34 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39182,plain,
% 16.25/12.34 ((~v39(constB106)) <=> v1(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39181, 147])).
% 16.25/12.34 tff(39183,plain,
% 16.25/12.34 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39184,plain,
% 16.25/12.34 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39183, 3619])).
% 16.25/12.34 tff(39185,plain,
% 16.25/12.34 (~v39(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39184, 39182])).
% 16.25/12.34 tff(39186,plain,
% 16.25/12.34 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39187,plain,
% 16.25/12.34 ((~v39(constB106)) | (~v9(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39186, 39185])).
% 16.25/12.34 tff(39188,plain,
% 16.25/12.34 ((~(v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v184(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39189,plain,
% 16.25/12.34 ((~(v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v184(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39188, 39187])).
% 16.25/12.34 tff(39190,plain,
% 16.25/12.34 (~v184(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39189, 39180])).
% 16.25/12.34 tff(39191,plain,
% 16.25/12.34 (((~v184(constB106)) | (~v160(constB106))) | v184(constB106)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39192,plain,
% 16.25/12.34 ((~v184(constB106)) | (~v160(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39191, 39190])).
% 16.25/12.34 tff(39193,plain,
% 16.25/12.34 ((~(v187(constB106) <=> (~((~v184(constB106)) | (~v160(constB106)))))) | (~v187(constB106)) | (~((~v184(constB106)) | (~v160(constB106))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39194,plain,
% 16.25/12.34 ((~(v187(constB106) <=> (~((~v184(constB106)) | (~v160(constB106)))))) | (~v187(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39193, 39192])).
% 16.25/12.34 tff(39195,plain,
% 16.25/12.34 (~v187(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39194, 39178])).
% 16.25/12.34 tff(39196,plain,
% 16.25/12.34 (((~v186(constB106)) | (~v187(constB106))) | v187(constB106)),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39197,plain,
% 16.25/12.34 ((~v186(constB106)) | (~v187(constB106))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39196, 39195])).
% 16.25/12.34 tff(39198,plain,
% 16.25/12.34 ((~(v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106)))))) | (~v185(constB106)) | (~((~v186(constB106)) | (~v187(constB106))))),
% 16.25/12.34 inference(tautology,[status(thm)],[])).
% 16.25/12.34 tff(39199,plain,
% 16.25/12.34 (~v185(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39198, 39197, 39176])).
% 16.25/12.34 tff(39200,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106))))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39201,plain,
% 16.25/12.34 ((v181(constB106) <=> (~((~v182(constB106)) | (~v158(constB106))))) <=> (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106)))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39202,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v158(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106))))))),
% 16.25/12.34 inference(monotonicity,[status(thm)],[39201])).
% 16.25/12.34 tff(39203,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v158(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106))))))),
% 16.25/12.34 inference(transitivity,[status(thm)],[39202, 39200])).
% 16.25/12.34 tff(39204,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v158(constB106)))))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39205,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106)))))),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[39204, 39203])).
% 16.25/12.34 tff(39206,plain,
% 16.25/12.34 (v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106))))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39205, 444])).
% 16.25/12.34 tff(39207,plain,
% 16.25/12.34 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB106) <=> v180(constB106))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39208,plain,
% 16.25/12.34 (v158(constB106) <=> v180(constB106)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39207, 358])).
% 16.25/12.34 tff(39209,plain,
% 16.25/12.34 (((~![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)))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39210,plain,
% 16.25/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39211,plain,
% 16.25/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105))),
% 16.25/12.34 inference(modus_ponens,[status(thm)],[39210, 39209])).
% 16.25/12.34 tff(39212,plain,
% 16.25/12.34 (v180(constB106) <=> v178(constB105)),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39211, 3589, 370])).
% 16.25/12.34 tff(39213,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB105) <=> (v181(constB105) | v185(constB105)))),
% 16.25/12.34 inference(quant_inst,[status(thm)],[])).
% 16.25/12.34 tff(39214,plain,
% 16.25/12.34 (v178(constB105) <=> (v181(constB105) | v185(constB105))),
% 16.25/12.34 inference(unit_resolution,[status(thm)],[39213, 384])).
% 16.25/12.34 tff(39215,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105))))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39216,plain,
% 16.25/12.34 ((v181(constB105) <=> (~((~v182(constB105)) | (~v158(constB105))))) <=> (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105)))))),
% 16.25/12.34 inference(rewrite,[status(thm)],[])).
% 16.25/12.34 tff(39217,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v158(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105))))))),
% 16.25/12.34 inference(monotonicity,[status(thm)],[39216])).
% 16.25/12.34 tff(39218,plain,
% 16.25/12.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v158(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105))))))),
% 16.25/12.34 inference(transitivity,[status(thm)],[39217, 39215])).
% 16.25/12.34 tff(39219,plain,
% 16.25/12.34 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v158(constB105)))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39220,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105)))))),
% 16.25/12.35 inference(modus_ponens,[status(thm)],[39219, 39218])).
% 16.25/12.35 tff(39221,plain,
% 16.25/12.35 (v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105))))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39220, 444])).
% 16.25/12.35 tff(39222,plain,
% 16.25/12.35 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB105)) <=> v183(constB105))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39223,plain,
% 16.25/12.35 ((~v182(constB105)) <=> v183(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39222, 205])).
% 16.25/12.35 tff(39224,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB105) <=> (v184(constB105) | v26(constB105)))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39225,plain,
% 16.25/12.35 (v183(constB105) <=> (v184(constB105) | v26(constB105))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39224, 214])).
% 16.25/12.35 tff(39226,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39227,plain,
% 16.25/12.35 (v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105))))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39226, 138])).
% 16.25/12.35 tff(39228,plain,
% 16.25/12.35 (((~![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)))),
% 16.25/12.35 inference(rewrite,[status(thm)],[])).
% 16.25/12.35 tff(39229,plain,
% 16.25/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39230,plain,
% 16.25/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105))),
% 16.25/12.35 inference(modus_ponens,[status(thm)],[39229, 39228])).
% 16.25/12.35 tff(39231,plain,
% 16.25/12.35 (v13(constB106) <=> v9(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39230, 3589, 228])).
% 16.25/12.35 tff(39232,plain,
% 16.25/12.35 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB106) <=> v13(constB106))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39233,plain,
% 16.25/12.35 (v6(constB106) <=> v13(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39232, 242])).
% 16.25/12.35 tff(39234,plain,
% 16.25/12.35 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB106)) <=> v6(constB106))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39235,plain,
% 16.25/12.35 ((~v21(constB106)) <=> v6(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39234, 251])).
% 16.25/12.35 tff(39236,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB106) <=> (v20(constB106) | v21(constB106)))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39237,plain,
% 16.25/12.35 (v19(constB106) <=> (v20(constB106) | v21(constB106))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39236, 260])).
% 16.25/12.35 tff(39238,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39239,plain,
% 16.25/12.35 (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106))))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39238, 272])).
% 16.25/12.35 tff(39240,plain,
% 16.25/12.35 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB106)) <=> v18(constB106))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39241,plain,
% 16.25/12.35 ((~v4(constB106)) <=> v18(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39240, 281])).
% 16.25/12.35 tff(39242,plain,
% 16.25/12.35 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB106)),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39243,plain,
% 16.25/12.35 (v4(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39242, 290])).
% 16.25/12.35 tff(39244,plain,
% 16.25/12.35 ((~((~v4(constB106)) <=> v18(constB106))) | (~v4(constB106)) | (~v18(constB106))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39245,plain,
% 16.25/12.35 (~v18(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39244, 39243, 39241])).
% 16.25/12.35 tff(39246,plain,
% 16.25/12.35 ((~(v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))) | v18(constB106) | ((~v19(constB106)) | (~v22(constB106)))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39247,plain,
% 16.25/12.35 ((~v19(constB106)) | (~v22(constB106))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39246, 39245, 39239])).
% 16.25/12.35 tff(39248,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB106) <=> (v1(constB106) | v6(constB106)))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39249,plain,
% 16.25/12.35 (v22(constB106) <=> (v1(constB106) | v6(constB106))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39248, 303])).
% 16.25/12.35 tff(39250,plain,
% 16.25/12.35 ((v1(constB106) | v6(constB106)) | (~v1(constB106))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39251,plain,
% 16.25/12.35 (v1(constB106) | v6(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39250, 3619])).
% 16.25/12.35 tff(39252,plain,
% 16.25/12.35 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106) | (~(v1(constB106) | v6(constB106)))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39253,plain,
% 16.25/12.35 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39252, 39251])).
% 16.25/12.35 tff(39254,plain,
% 16.25/12.35 (v22(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39253, 39249])).
% 16.25/12.35 tff(39255,plain,
% 16.25/12.35 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106)) | (~v22(constB106))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39256,plain,
% 16.25/12.35 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39255, 39254])).
% 16.25/12.35 tff(39257,plain,
% 16.25/12.35 (~v19(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39256, 39247])).
% 16.25/12.35 tff(39258,plain,
% 16.25/12.35 ((~(v19(constB106) <=> (v20(constB106) | v21(constB106)))) | v19(constB106) | (~(v20(constB106) | v21(constB106)))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39259,plain,
% 16.25/12.35 (~(v20(constB106) | v21(constB106))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39258, 39257, 39237])).
% 16.25/12.35 tff(39260,plain,
% 16.25/12.35 ((v20(constB106) | v21(constB106)) | (~v21(constB106))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39261,plain,
% 16.25/12.35 (~v21(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39260, 39259])).
% 16.25/12.35 tff(39262,plain,
% 16.25/12.35 ((~((~v21(constB106)) <=> v6(constB106))) | v21(constB106) | v6(constB106)),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39263,plain,
% 16.25/12.35 (v6(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39262, 39261, 39235])).
% 16.25/12.35 tff(39264,plain,
% 16.25/12.35 ((~(v6(constB106) <=> v13(constB106))) | (~v6(constB106)) | v13(constB106)),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39265,plain,
% 16.25/12.35 (v13(constB106)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39264, 39263, 39233])).
% 16.25/12.35 tff(39266,plain,
% 16.25/12.35 ((~(v13(constB106) <=> v9(constB105))) | (~v13(constB106)) | v9(constB105)),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39267,plain,
% 16.25/12.35 (v9(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39266, 39265, 39231])).
% 16.25/12.35 tff(39268,plain,
% 16.25/12.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB105)) <=> v1(constB105))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39269,plain,
% 16.25/12.35 ((~v39(constB105)) <=> v1(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39268, 147])).
% 16.25/12.35 tff(39270,plain,
% 16.25/12.35 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105) | v1(constB105)),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39271,plain,
% 16.25/12.35 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39270, 3611])).
% 16.25/12.35 tff(39272,plain,
% 16.25/12.35 (v39(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39271, 39269])).
% 16.25/12.35 tff(39273,plain,
% 16.25/12.35 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v39(constB105)) | (~v9(constB105))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39274,plain,
% 16.25/12.35 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v9(constB105))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39273, 39272])).
% 16.25/12.35 tff(39275,plain,
% 16.25/12.35 (~((~v39(constB105)) | (~v9(constB105)))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39274, 39267])).
% 16.25/12.35 tff(39276,plain,
% 16.25/12.35 ((~(v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))) | v184(constB105) | ((~v39(constB105)) | (~v9(constB105)))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39277,plain,
% 16.25/12.35 (v184(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39276, 39275, 39227])).
% 16.25/12.35 tff(39278,plain,
% 16.25/12.35 ((v184(constB105) | v26(constB105)) | (~v184(constB105))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39279,plain,
% 16.25/12.35 (v184(constB105) | v26(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39278, 39277])).
% 16.25/12.35 tff(39280,plain,
% 16.25/12.35 ((~(v183(constB105) <=> (v184(constB105) | v26(constB105)))) | v183(constB105) | (~(v184(constB105) | v26(constB105)))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39281,plain,
% 16.25/12.35 (v183(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39280, 39279, 39225])).
% 16.25/12.35 tff(39282,plain,
% 16.25/12.35 ((~((~v182(constB105)) <=> v183(constB105))) | (~v182(constB105)) | (~v183(constB105))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39283,plain,
% 16.25/12.35 (~v182(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39282, 39281, 39223])).
% 16.25/12.35 tff(39284,plain,
% 16.25/12.35 (((~v158(constB105)) | (~v182(constB105))) | v182(constB105)),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39285,plain,
% 16.25/12.35 ((~v158(constB105)) | (~v182(constB105))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39284, 39283])).
% 16.25/12.35 tff(39286,plain,
% 16.25/12.35 ((~(v181(constB105) <=> (~((~v158(constB105)) | (~v182(constB105)))))) | (~v181(constB105)) | (~((~v158(constB105)) | (~v182(constB105))))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39287,plain,
% 16.25/12.35 (~v181(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39286, 39285, 39221])).
% 16.25/12.35 tff(39288,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105)))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39289,plain,
% 16.25/12.35 (v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105))))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39288, 396])).
% 16.25/12.35 tff(39290,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB105) <=> (~((~v184(constB105)) | (~v160(constB105)))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39291,plain,
% 16.25/12.35 (v187(constB105) <=> (~((~v184(constB105)) | (~v160(constB105))))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39290, 408])).
% 16.25/12.35 tff(39292,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB105) <=> v162(constB105))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39293,plain,
% 16.25/12.35 (v160(constB105) <=> v162(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39292, 549])).
% 16.25/12.35 tff(39294,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB105) <=> (~(v88(constB105, bitIndex2) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex0)))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39295,plain,
% 16.25/12.35 (v141(constB105) <=> (~(v88(constB105, bitIndex2) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex0))))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39294, 564])).
% 16.25/12.35 tff(39296,plain,
% 16.25/12.35 (((~![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)))),
% 16.25/12.35 inference(rewrite,[status(thm)],[])).
% 16.25/12.35 tff(39297,plain,
% 16.25/12.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39298,plain,
% 16.25/12.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2))),
% 16.25/12.35 inference(modus_ponens,[status(thm)],[39297, 39296])).
% 16.25/12.35 tff(39299,plain,
% 16.25/12.35 (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39298, 579, 576])).
% 16.25/12.35 tff(39300,plain,
% 16.25/12.35 ((~(v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2))) | v88(constB105, bitIndex2) | (~v90(constB105, bitIndex2))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39301,plain,
% 16.25/12.35 (v88(constB105, bitIndex2)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39300, 15335, 39299])).
% 16.25/12.35 tff(39302,plain,
% 16.25/12.35 ((v88(constB105, bitIndex2) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex2))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39303,plain,
% 16.25/12.35 (v88(constB105, bitIndex2) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex0))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39302, 39301])).
% 16.25/12.35 tff(39304,plain,
% 16.25/12.35 ((~(v141(constB105) <=> (~(v88(constB105, bitIndex2) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex0)))))) | (~v141(constB105)) | (~(v88(constB105, bitIndex2) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex0))))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39305,plain,
% 16.25/12.35 (~v141(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39304, 39303, 39295])).
% 16.25/12.35 tff(39306,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB105) <=> (v139(constB105) | v140(constB105)))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39307,plain,
% 16.25/12.35 (v170(constB105) <=> (v139(constB105) | v140(constB105))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39306, 2216])).
% 16.25/12.35 tff(39308,plain,
% 16.25/12.35 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2))))),
% 16.25/12.35 inference(quant_inst,[status(thm)],[])).
% 16.25/12.35 tff(39309,plain,
% 16.25/12.35 (v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)))),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39308, 2231])).
% 16.25/12.35 tff(39310,plain,
% 16.25/12.35 ((v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex2))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39311,plain,
% 16.25/12.35 (v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39310, 39301])).
% 16.25/12.35 tff(39312,plain,
% 16.25/12.35 ((~(v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2))))) | (~v139(constB105)) | (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)))),
% 16.25/12.35 inference(tautology,[status(thm)],[])).
% 16.25/12.35 tff(39313,plain,
% 16.25/12.35 (~v139(constB105)),
% 16.25/12.35 inference(unit_resolution,[status(thm)],[39312, 39311, 39309])).
% 16.25/12.35 tff(39314,plain,
% 16.25/12.35 (((~![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))))))),
% 16.25/12.35 inference(rewrite,[status(thm)],[])).
% 16.25/12.35 tff(39315,plain,
% 16.25/12.35 ((v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0))))) <=> (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))),
% 16.25/12.35 inference(rewrite,[status(thm)],[])).
% 16.25/12.36 tff(39316,plain,
% 16.25/12.36 (((~![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))))))),
% 16.25/12.36 inference(monotonicity,[status(thm)],[39315])).
% 16.25/12.36 tff(39317,plain,
% 16.25/12.36 (((~![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))))))),
% 16.25/12.36 inference(transitivity,[status(thm)],[39316, 39314])).
% 16.25/12.36 tff(39318,plain,
% 16.25/12.36 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0)))))),
% 16.25/12.36 inference(quant_inst,[status(thm)],[])).
% 16.25/12.36 tff(39319,plain,
% 16.25/12.36 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))),
% 16.25/12.36 inference(modus_ponens,[status(thm)],[39318, 39317])).
% 16.25/12.36 tff(39320,plain,
% 16.25/12.36 (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))),
% 16.25/12.36 inference(unit_resolution,[status(thm)],[39319, 2250])).
% 16.25/12.36 tff(39321,plain,
% 16.25/12.36 ((v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex2))),
% 16.25/12.36 inference(tautology,[status(thm)],[])).
% 16.25/12.36 tff(39322,plain,
% 16.25/12.36 (v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))),
% 16.25/12.36 inference(unit_resolution,[status(thm)],[39321, 39301])).
% 16.25/12.36 tff(39323,plain,
% 16.25/12.36 ((~(v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))) | (~v140(constB105)) | (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))),
% 16.25/12.36 inference(tautology,[status(thm)],[])).
% 16.25/12.36 tff(39324,plain,
% 16.25/12.36 (~v140(constB105)),
% 16.25/12.36 inference(unit_resolution,[status(thm)],[39323, 39322, 39320])).
% 16.25/12.36 tff(39325,plain,
% 16.25/12.36 ((~(v139(constB105) | v140(constB105))) | v139(constB105) | v140(constB105)),
% 16.25/12.36 inference(tautology,[status(thm)],[])).
% 16.25/12.36 tff(39326,plain,
% 16.25/12.36 (~(v139(constB105) | v140(constB105))),
% 16.25/12.36 inference(unit_resolution,[status(thm)],[39325, 39324, 39313])).
% 16.25/12.36 tff(39327,plain,
% 16.25/12.36 ((~(v170(constB105) <=> (v139(constB105) | v140(constB105)))) | (~v170(constB105)) | (v139(constB105) | v140(constB105))),
% 16.25/12.36 inference(tautology,[status(thm)],[])).
% 16.25/12.36 tff(39328,plain,
% 16.25/12.36 (~v170(constB105)),
% 16.25/12.36 inference(unit_resolution,[status(thm)],[39327, 39326, 39307])).
% 16.25/12.36 tff(39329,plain,
% 16.25/12.36 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB105) | v170(constB105) | (~v169(constB105)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB105) | v170(constB105) | (~v169(constB105)))),
% 16.25/12.36 inference(rewrite,[status(thm)],[])).
% 16.25/12.36 tff(39330,plain,
% 16.25/12.36 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB105) | v170(constB105) | (~v169(constB105)))),
% 16.25/12.36 inference(quant_inst,[status(thm)],[])).
% 16.25/12.36 tff(39331,plain,
% 16.25/12.36 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB105) | v170(constB105) | (~v169(constB105))),
% 16.25/12.36 inference(modus_ponens,[status(thm)],[39330, 39329])).
% 16.25/12.36 tff(39332,plain,
% 16.25/12.36 (v141(constB105) | v170(constB105) | (~v169(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39331, 2278])).
% 16.30/12.36 tff(39333,plain,
% 16.30/12.36 (~v169(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39332, 39328, 39305])).
% 16.30/12.36 tff(39334,plain,
% 16.30/12.36 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB105) <=> (v145(constB105) | v166(constB105)))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39335,plain,
% 16.30/12.36 (v165(constB105) <=> (v145(constB105) | v166(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39334, 2293])).
% 16.30/12.36 tff(39336,plain,
% 16.30/12.36 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB105) <=> (v146(constB105) | v147(constB105)))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39337,plain,
% 16.30/12.36 (v145(constB105) <=> (v146(constB105) | v147(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39336, 2302])).
% 16.30/12.36 tff(39338,plain,
% 16.30/12.36 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)))))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39339,plain,
% 16.30/12.36 ((v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2))))) <=> (v146(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39340,plain,
% 16.30/12.36 (((~![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, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)))))),
% 16.30/12.36 inference(monotonicity,[status(thm)],[39339])).
% 16.30/12.36 tff(39341,plain,
% 16.30/12.36 (((~![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, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)))))),
% 16.30/12.36 inference(transitivity,[status(thm)],[39340, 39338])).
% 16.30/12.36 tff(39342,plain,
% 16.30/12.36 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39343,plain,
% 16.30/12.36 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))))),
% 16.30/12.36 inference(modus_ponens,[status(thm)],[39342, 39341])).
% 16.30/12.36 tff(39344,plain,
% 16.30/12.36 (v146(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39343, 16288])).
% 16.30/12.36 tff(39345,plain,
% 16.30/12.36 (((~![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)))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39346,plain,
% 16.30/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39347,plain,
% 16.30/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0))),
% 16.30/12.36 inference(modus_ponens,[status(thm)],[39346, 39345])).
% 16.30/12.36 tff(39348,plain,
% 16.30/12.36 (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39347, 1275, 576])).
% 16.30/12.36 tff(39349,plain,
% 16.30/12.36 ((~(v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0))) | (~v88(constB105, bitIndex0)) | v90(constB105, bitIndex0)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39350,plain,
% 16.30/12.36 (~v88(constB105, bitIndex0)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39349, 15366, 39348])).
% 16.30/12.36 tff(39351,plain,
% 16.30/12.36 (((~![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)))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39352,plain,
% 16.30/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39353,plain,
% 16.30/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1))),
% 16.30/12.36 inference(modus_ponens,[status(thm)],[39352, 39351])).
% 16.30/12.36 tff(39354,plain,
% 16.30/12.36 (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39353, 1288, 576])).
% 16.30/12.36 tff(39355,plain,
% 16.30/12.36 ((~(v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1))) | (~v88(constB105, bitIndex1)) | v90(constB105, bitIndex1)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39356,plain,
% 16.30/12.36 (~v88(constB105, bitIndex1)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39355, 15397, 39354])).
% 16.30/12.36 tff(39357,plain,
% 16.30/12.36 ((~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39358,plain,
% 16.30/12.36 (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39357, 39356, 39350, 39301])).
% 16.30/12.36 tff(39359,plain,
% 16.30/12.36 ((~(v146(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))))) | v146(constB105) | (v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39360,plain,
% 16.30/12.36 (v146(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39359, 39358, 39344])).
% 16.30/12.36 tff(39361,plain,
% 16.30/12.36 ((v146(constB105) | v147(constB105)) | (~v146(constB105))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39362,plain,
% 16.30/12.36 (v146(constB105) | v147(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39361, 39360])).
% 16.30/12.36 tff(39363,plain,
% 16.30/12.36 ((~(v145(constB105) <=> (v146(constB105) | v147(constB105)))) | v145(constB105) | (~(v146(constB105) | v147(constB105)))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39364,plain,
% 16.30/12.36 (v145(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39363, 39362, 39337])).
% 16.30/12.36 tff(39365,plain,
% 16.30/12.36 ((v145(constB105) | v166(constB105)) | (~v145(constB105))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39366,plain,
% 16.30/12.36 (v145(constB105) | v166(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39365, 39364])).
% 16.30/12.36 tff(39367,plain,
% 16.30/12.36 ((~(v165(constB105) <=> (v145(constB105) | v166(constB105)))) | v165(constB105) | (~(v145(constB105) | v166(constB105)))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39368,plain,
% 16.30/12.36 (v165(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39367, 39366, 39335])).
% 16.30/12.36 tff(39369,plain,
% 16.30/12.36 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB105)) | (v162(constB105) <=> v169(constB105)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB105)) | (v162(constB105) <=> v169(constB105)))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39370,plain,
% 16.30/12.36 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB105)) | (v162(constB105) <=> v169(constB105)))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39371,plain,
% 16.30/12.36 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB105)) | (v162(constB105) <=> v169(constB105))),
% 16.30/12.36 inference(modus_ponens,[status(thm)],[39370, 39369])).
% 16.30/12.36 tff(39372,plain,
% 16.30/12.36 ((~v165(constB105)) | (v162(constB105) <=> v169(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39371, 2426])).
% 16.30/12.36 tff(39373,plain,
% 16.30/12.36 (v162(constB105) <=> v169(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39372, 39368])).
% 16.30/12.36 tff(39374,plain,
% 16.30/12.36 ((~(v162(constB105) <=> v169(constB105))) | (~v162(constB105)) | v169(constB105)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39375,plain,
% 16.30/12.36 (~v162(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39374, 39373, 39333])).
% 16.30/12.36 tff(39376,plain,
% 16.30/12.36 ((~(v160(constB105) <=> v162(constB105))) | (~v160(constB105)) | v162(constB105)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39377,plain,
% 16.30/12.36 ((~(v160(constB105) <=> v162(constB105))) | (~v160(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39376, 39375])).
% 16.30/12.36 tff(39378,plain,
% 16.30/12.36 (~v160(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39377, 39293])).
% 16.30/12.36 tff(39379,plain,
% 16.30/12.36 (((~v184(constB105)) | (~v160(constB105))) | v160(constB105)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39380,plain,
% 16.30/12.36 ((~v184(constB105)) | (~v160(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39379, 39378])).
% 16.30/12.36 tff(39381,plain,
% 16.30/12.36 ((~(v187(constB105) <=> (~((~v184(constB105)) | (~v160(constB105)))))) | (~v187(constB105)) | (~((~v184(constB105)) | (~v160(constB105))))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39382,plain,
% 16.30/12.36 (~v187(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39381, 39380, 39291])).
% 16.30/12.36 tff(39383,plain,
% 16.30/12.36 (((~v186(constB105)) | (~v187(constB105))) | v187(constB105)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39384,plain,
% 16.30/12.36 ((~v186(constB105)) | (~v187(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39383, 39382])).
% 16.30/12.36 tff(39385,plain,
% 16.30/12.36 ((~(v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105)))))) | (~v185(constB105)) | (~((~v186(constB105)) | (~v187(constB105))))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39386,plain,
% 16.30/12.36 (~v185(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39385, 39384, 39289])).
% 16.30/12.36 tff(39387,plain,
% 16.30/12.36 ((~(v181(constB105) | v185(constB105))) | v181(constB105) | v185(constB105)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39388,plain,
% 16.30/12.36 (~(v181(constB105) | v185(constB105))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39387, 39386, 39287])).
% 16.30/12.36 tff(39389,plain,
% 16.30/12.36 ((~(v178(constB105) <=> (v181(constB105) | v185(constB105)))) | (~v178(constB105)) | (v181(constB105) | v185(constB105))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39390,plain,
% 16.30/12.36 (~v178(constB105)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39389, 39388, 39214])).
% 16.30/12.36 tff(39391,plain,
% 16.30/12.36 ((~(v180(constB106) <=> v178(constB105))) | (~v180(constB106)) | v178(constB105)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39392,plain,
% 16.30/12.36 (~v180(constB106)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39391, 39390, 39212])).
% 16.30/12.36 tff(39393,plain,
% 16.30/12.36 ((~(v158(constB106) <=> v180(constB106))) | (~v158(constB106)) | v180(constB106)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39394,plain,
% 16.30/12.36 (~v158(constB106)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39393, 39392, 39208])).
% 16.30/12.36 tff(39395,plain,
% 16.30/12.36 (((~v158(constB106)) | (~v182(constB106))) | v158(constB106)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39396,plain,
% 16.30/12.36 ((~v158(constB106)) | (~v182(constB106))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39395, 39394])).
% 16.30/12.36 tff(39397,plain,
% 16.30/12.36 ((~(v181(constB106) <=> (~((~v158(constB106)) | (~v182(constB106)))))) | (~v181(constB106)) | (~((~v158(constB106)) | (~v182(constB106))))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39398,plain,
% 16.30/12.36 (~v181(constB106)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39397, 39396, 39206])).
% 16.30/12.36 tff(39399,plain,
% 16.30/12.36 ((~(v181(constB106) | v185(constB106))) | v181(constB106) | v185(constB106)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39400,plain,
% 16.30/12.36 (~(v181(constB106) | v185(constB106))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39399, 39398, 39199])).
% 16.30/12.36 tff(39401,plain,
% 16.30/12.36 ((~(v178(constB106) <=> (v181(constB106) | v185(constB106)))) | (~v178(constB106)) | (v181(constB106) | v185(constB106))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39402,plain,
% 16.30/12.36 (~v178(constB106)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39401, 39400, 39174])).
% 16.30/12.36 tff(39403,plain,
% 16.30/12.36 ((~(v180(constB107) <=> v178(constB106))) | (~v180(constB107)) | v178(constB106)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39404,plain,
% 16.30/12.36 (~v180(constB107)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39403, 39402, 39172])).
% 16.30/12.36 tff(39405,plain,
% 16.30/12.36 ((~(v158(constB107) <=> v180(constB107))) | (~v158(constB107)) | v180(constB107)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39406,plain,
% 16.30/12.36 (~v158(constB107)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39405, 39404, 39168])).
% 16.30/12.36 tff(39407,plain,
% 16.30/12.36 (((~v158(constB107)) | (~v206(constB107))) | v158(constB107)),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39408,plain,
% 16.30/12.36 ((~v158(constB107)) | (~v206(constB107))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39407, 39406])).
% 16.30/12.36 tff(39409,plain,
% 16.30/12.36 ((~(v205(constB107) <=> (~((~v158(constB107)) | (~v206(constB107)))))) | (~v205(constB107)) | (~((~v158(constB107)) | (~v206(constB107))))),
% 16.30/12.36 inference(tautology,[status(thm)],[])).
% 16.30/12.36 tff(39410,plain,
% 16.30/12.36 (~v205(constB107)),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39409, 39408, 39166])).
% 16.30/12.36 tff(39411,plain,
% 16.30/12.36 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107))))))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39412,plain,
% 16.30/12.36 ((v209(constB107) <=> (~((~v206(constB107)) | (~v191(constB107))))) <=> (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107)))))),
% 16.30/12.36 inference(rewrite,[status(thm)],[])).
% 16.30/12.36 tff(39413,plain,
% 16.30/12.36 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v206(constB107)) | (~v191(constB107)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107))))))),
% 16.30/12.36 inference(monotonicity,[status(thm)],[39412])).
% 16.30/12.36 tff(39414,plain,
% 16.30/12.36 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v206(constB107)) | (~v191(constB107)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107))))))),
% 16.30/12.36 inference(transitivity,[status(thm)],[39413, 39411])).
% 16.30/12.36 tff(39415,plain,
% 16.30/12.36 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v206(constB107)) | (~v191(constB107)))))),
% 16.30/12.36 inference(quant_inst,[status(thm)],[])).
% 16.30/12.36 tff(39416,plain,
% 16.30/12.36 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107)))))),
% 16.30/12.36 inference(modus_ponens,[status(thm)],[39415, 39414])).
% 16.30/12.36 tff(39417,plain,
% 16.30/12.36 (v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107))))),
% 16.30/12.36 inference(unit_resolution,[status(thm)],[39416, 47])).
% 16.30/12.37 tff(39418,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v186(VarCurr)) | (~v207(VarCurr)))))) | (v206(constB107) <=> (~((~v186(constB107)) | (~v207(constB107)))))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39419,plain,
% 16.30/12.37 (v206(constB107) <=> (~((~v186(constB107)) | (~v207(constB107))))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39418, 16227])).
% 16.30/12.37 tff(39420,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107))))))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39421,plain,
% 16.30/12.37 ((v207(constB107) <=> (~((~v208(constB107)) | (~v184(constB107))))) <=> (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107)))))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39422,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v208(constB107)) | (~v184(constB107)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107))))))),
% 16.30/12.37 inference(monotonicity,[status(thm)],[39421])).
% 16.30/12.37 tff(39423,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v208(constB107)) | (~v184(constB107)))))) <=> ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107))))))),
% 16.30/12.37 inference(transitivity,[status(thm)],[39422, 39420])).
% 16.30/12.37 tff(39424,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v208(constB107)) | (~v184(constB107)))))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39425,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v208(VarCurr)) | (~v184(VarCurr)))))) | (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107)))))),
% 16.30/12.37 inference(modus_ponens,[status(thm)],[39424, 39423])).
% 16.30/12.37 tff(39426,plain,
% 16.30/12.37 (v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107))))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39425, 16239])).
% 16.30/12.37 tff(39427,plain,
% 16.30/12.37 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(constB107)) <=> v84(constB107))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39428,plain,
% 16.30/12.37 ((~v208(constB107)) <=> v84(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39427, 16253])).
% 16.30/12.37 tff(39429,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB107) <=> v86(constB107))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39430,plain,
% 16.30/12.37 (v84(constB107) <=> v86(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39429, 16262])).
% 16.30/12.37 tff(39431,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB107) <=> (v136(constB107) | v145(constB107)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39432,plain,
% 16.30/12.37 (v135(constB107) <=> (v136(constB107) | v145(constB107))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39431, 16271])).
% 16.30/12.37 tff(39433,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB107) <=> (v146(constB107) | v147(constB107)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39434,plain,
% 16.30/12.37 (v145(constB107) <=> (v146(constB107) | v147(constB107))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39433, 2302])).
% 16.30/12.37 tff(39435,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39436,plain,
% 16.30/12.37 ((v147(constB107) <=> (~(v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2))))) <=> (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39437,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~(v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.30/12.37 inference(monotonicity,[status(thm)],[39436])).
% 16.30/12.37 tff(39438,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~(v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.30/12.37 inference(transitivity,[status(thm)],[39437, 39435])).
% 16.30/12.37 tff(39439,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~(v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)))))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39440,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v147(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2)))))) | (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))),
% 16.30/12.37 inference(modus_ponens,[status(thm)],[39439, 39438])).
% 16.30/12.37 tff(39441,plain,
% 16.30/12.37 (v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39440, 2317])).
% 16.30/12.37 tff(39442,plain,
% 16.30/12.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39443,plain,
% 16.30/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39444,plain,
% 16.30/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2))),
% 16.30/12.37 inference(modus_ponens,[status(thm)],[39443, 39442])).
% 16.30/12.37 tff(39445,plain,
% 16.30/12.37 (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39444, 579, 576])).
% 16.30/12.37 tff(39446,plain,
% 16.30/12.37 ((~(v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2))) | v88(constB107, bitIndex2) | (~v90(constB107, bitIndex2))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39447,plain,
% 16.30/12.37 (v88(constB107, bitIndex2)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39446, 15485, 39445])).
% 16.30/12.37 tff(39448,plain,
% 16.30/12.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39449,plain,
% 16.30/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39450,plain,
% 16.30/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0))),
% 16.30/12.37 inference(modus_ponens,[status(thm)],[39449, 39448])).
% 16.30/12.37 tff(39451,plain,
% 16.30/12.37 (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39450, 1275, 576])).
% 16.30/12.37 tff(39452,plain,
% 16.30/12.37 ((~(v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0))) | v88(constB107, bitIndex0) | (~v90(constB107, bitIndex0))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39453,plain,
% 16.30/12.37 (v88(constB107, bitIndex0)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39452, 15516, 39451])).
% 16.30/12.37 tff(39454,plain,
% 16.30/12.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39455,plain,
% 16.30/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39456,plain,
% 16.30/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1))),
% 16.30/12.37 inference(modus_ponens,[status(thm)],[39455, 39454])).
% 16.30/12.37 tff(39457,plain,
% 16.30/12.37 (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39456, 1288, 576])).
% 16.30/12.37 tff(39458,plain,
% 16.30/12.37 ((~(v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1))) | (~v88(constB107, bitIndex1)) | v90(constB107, bitIndex1)),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39459,plain,
% 16.30/12.37 (~v88(constB107, bitIndex1)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39458, 15547, 39457])).
% 16.30/12.37 tff(39460,plain,
% 16.30/12.37 ((~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))) | (~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39461,plain,
% 16.30/12.37 (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39460, 39459, 39453, 39447])).
% 16.30/12.37 tff(39462,plain,
% 16.30/12.37 ((~(v147(constB107) <=> (~((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))) | v147(constB107) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39463,plain,
% 16.30/12.37 (v147(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39462, 39461, 39441])).
% 16.30/12.37 tff(39464,plain,
% 16.30/12.37 ((v146(constB107) | v147(constB107)) | (~v147(constB107))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39465,plain,
% 16.30/12.37 (v146(constB107) | v147(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39464, 39463])).
% 16.30/12.37 tff(39466,plain,
% 16.30/12.37 ((~(v145(constB107) <=> (v146(constB107) | v147(constB107)))) | v145(constB107) | (~(v146(constB107) | v147(constB107)))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39467,plain,
% 16.30/12.37 (v145(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39466, 39465, 39434])).
% 16.30/12.37 tff(39468,plain,
% 16.30/12.37 ((v136(constB107) | v145(constB107)) | (~v145(constB107))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39469,plain,
% 16.30/12.37 (v136(constB107) | v145(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39468, 39467])).
% 16.30/12.37 tff(39470,plain,
% 16.30/12.37 ((~(v135(constB107) <=> (v136(constB107) | v145(constB107)))) | v135(constB107) | (~(v136(constB107) | v145(constB107)))),
% 16.30/12.37 inference(tautology,[status(thm)],[])).
% 16.30/12.37 tff(39471,plain,
% 16.30/12.37 (v135(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39470, 39469, 39432])).
% 16.30/12.37 tff(39472,plain,
% 16.30/12.37 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB107)) | (v86(constB107) <=> v148(constB107)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB107)) | (v86(constB107) <=> v148(constB107)))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39473,plain,
% 16.30/12.37 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB107)) | (v86(constB107) <=> v148(constB107)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39474,plain,
% 16.30/12.37 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB107)) | (v86(constB107) <=> v148(constB107))),
% 16.30/12.37 inference(modus_ponens,[status(thm)],[39473, 39472])).
% 16.30/12.37 tff(39475,plain,
% 16.30/12.37 ((~v135(constB107)) | (v86(constB107) <=> v148(constB107))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39474, 16814])).
% 16.30/12.37 tff(39476,plain,
% 16.30/12.37 (v86(constB107) <=> v148(constB107)),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39475, 39471])).
% 16.30/12.37 tff(39477,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v149(VarCurr) <=> (v142(VarCurr) | v151(VarCurr)))) | (v149(constB107) <=> (v142(constB107) | v151(constB107)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39478,plain,
% 16.30/12.37 (v149(constB107) <=> (v142(constB107) | v151(constB107))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39477, 16829])).
% 16.30/12.37 tff(39479,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB107) <=> (v143(constB107) | v144(constB107)))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.37 tff(39480,plain,
% 16.30/12.37 (v142(constB107) <=> (v143(constB107) | v144(constB107))),
% 16.30/12.37 inference(unit_resolution,[status(thm)],[39479, 2813])).
% 16.30/12.37 tff(39481,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39482,plain,
% 16.30/12.37 ((v143(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1))))) <=> (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))),
% 16.30/12.37 inference(rewrite,[status(thm)],[])).
% 16.30/12.37 tff(39483,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))))),
% 16.30/12.37 inference(monotonicity,[status(thm)],[39482])).
% 16.30/12.37 tff(39484,plain,
% 16.30/12.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))))),
% 16.30/12.37 inference(transitivity,[status(thm)],[39483, 39481])).
% 16.30/12.37 tff(39485,plain,
% 16.30/12.37 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)))))),
% 16.30/12.37 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39486,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(modus_ponens,[status(thm)],[39485, 39484])).
% 16.30/12.38 tff(39487,plain,
% 16.30/12.38 (v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39486, 16089])).
% 16.30/12.38 tff(39488,plain,
% 16.30/12.38 ((v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39489,plain,
% 16.30/12.38 (v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39488, 39447])).
% 16.30/12.38 tff(39490,plain,
% 16.30/12.38 ((~(v143(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))) | (~v143(constB107)) | (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39491,plain,
% 16.30/12.38 (~v143(constB107)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39490, 39489, 39487])).
% 16.30/12.38 tff(39492,plain,
% 16.30/12.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(rewrite,[status(thm)],[])).
% 16.30/12.38 tff(39493,plain,
% 16.30/12.38 ((v144(constB107) <=> (~(v88(constB107, bitIndex0) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex2))))) <=> (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(rewrite,[status(thm)],[])).
% 16.30/12.38 tff(39494,plain,
% 16.30/12.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~(v88(constB107, bitIndex0) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(monotonicity,[status(thm)],[39493])).
% 16.30/12.38 tff(39495,plain,
% 16.30/12.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~(v88(constB107, bitIndex0) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(transitivity,[status(thm)],[39494, 39492])).
% 16.30/12.38 tff(39496,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~(v88(constB107, bitIndex0) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex2)))))),
% 16.30/12.38 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39497,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(modus_ponens,[status(thm)],[39496, 39495])).
% 16.30/12.38 tff(39498,plain,
% 16.30/12.38 (v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39497, 2828])).
% 16.30/12.38 tff(39499,plain,
% 16.30/12.38 (((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)) | v88(constB107, bitIndex1)),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39500,plain,
% 16.30/12.38 ((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39499, 39459])).
% 16.30/12.38 tff(39501,plain,
% 16.30/12.38 ((~(v144(constB107) <=> (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0))))) | (~v144(constB107)) | (~((~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex1)) | v88(constB107, bitIndex0)))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39502,plain,
% 16.30/12.38 (~v144(constB107)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39501, 39500, 39498])).
% 16.30/12.38 tff(39503,plain,
% 16.30/12.38 ((~(v143(constB107) | v144(constB107))) | v143(constB107) | v144(constB107)),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39504,plain,
% 16.30/12.38 (~(v143(constB107) | v144(constB107))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39503, 39502, 39491])).
% 16.30/12.38 tff(39505,plain,
% 16.30/12.38 ((~(v142(constB107) <=> (v143(constB107) | v144(constB107)))) | (~v142(constB107)) | (v143(constB107) | v144(constB107))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39506,plain,
% 16.30/12.38 (~v142(constB107)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39505, 39504, 39480])).
% 16.30/12.38 tff(39507,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v141(VarCurr) | v152(VarCurr)))) | (v151(constB107) <=> (v141(constB107) | v152(constB107)))),
% 16.30/12.38 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39508,plain,
% 16.30/12.38 (v151(constB107) <=> (v141(constB107) | v152(constB107))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39507, 16864])).
% 16.30/12.38 tff(39509,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39510,plain,
% 16.30/12.38 (v141(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39509, 564])).
% 16.30/12.38 tff(39511,plain,
% 16.30/12.38 ((v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex0))) | (~v88(constB107, bitIndex2))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39512,plain,
% 16.30/12.38 (v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex0))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39511, 39447])).
% 16.30/12.38 tff(39513,plain,
% 16.30/12.38 ((~(v141(constB107) <=> (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex0)))))) | (~v141(constB107)) | (~(v88(constB107, bitIndex2) | (~v88(constB107, bitIndex1)) | (~v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39514,plain,
% 16.30/12.38 (~v141(constB107)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39513, 39512, 39510])).
% 16.30/12.38 tff(39515,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v152(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v152(constB107) <=> (v139(constB107) | v140(constB107)))),
% 16.30/12.38 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39516,plain,
% 16.30/12.38 (v152(constB107) <=> (v139(constB107) | v140(constB107))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39515, 16879])).
% 16.30/12.38 tff(39517,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2))))),
% 16.30/12.38 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39518,plain,
% 16.30/12.38 (v139(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2)))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39517, 2231])).
% 16.30/12.38 tff(39519,plain,
% 16.30/12.38 ((v88(constB107, bitIndex0) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex2))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39520,plain,
% 16.30/12.38 (v88(constB107, bitIndex0) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39519, 39447])).
% 16.30/12.38 tff(39521,plain,
% 16.30/12.38 ((~(v139(constB107) <=> (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2))))) | (~v139(constB107)) | (~(v88(constB107, bitIndex0) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2)))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39522,plain,
% 16.30/12.38 (~v139(constB107)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39521, 39520, 39518])).
% 16.30/12.38 tff(39523,plain,
% 16.30/12.38 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.30/12.38 inference(rewrite,[status(thm)],[])).
% 16.30/12.38 tff(39524,plain,
% 16.30/12.38 ((v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0))))) <=> (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(rewrite,[status(thm)],[])).
% 16.30/12.38 tff(39525,plain,
% 16.30/12.38 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.30/12.38 inference(monotonicity,[status(thm)],[39524])).
% 16.30/12.38 tff(39526,plain,
% 16.30/12.38 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.30/12.38 inference(transitivity,[status(thm)],[39525, 39523])).
% 16.30/12.38 tff(39527,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(quant_inst,[status(thm)],[])).
% 16.30/12.38 tff(39528,plain,
% 16.30/12.38 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))),
% 16.30/12.38 inference(modus_ponens,[status(thm)],[39527, 39526])).
% 16.30/12.38 tff(39529,plain,
% 16.30/12.38 (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39528, 2250])).
% 16.30/12.38 tff(39530,plain,
% 16.30/12.38 ((v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))) | (~v88(constB107, bitIndex2))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39531,plain,
% 16.30/12.38 (v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39530, 39447])).
% 16.30/12.38 tff(39532,plain,
% 16.30/12.38 ((~(v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))) | (~v140(constB107)) | (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))),
% 16.30/12.38 inference(tautology,[status(thm)],[])).
% 16.30/12.38 tff(39533,plain,
% 16.30/12.38 (~v140(constB107)),
% 16.30/12.38 inference(unit_resolution,[status(thm)],[39532, 39531, 39529])).
% 16.30/12.38 tff(39534,plain,
% 16.30/12.38 ((~(v139(constB107) | v140(constB107))) | v139(constB107) | v140(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39535,plain,
% 16.30/12.39 (~(v139(constB107) | v140(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39534, 39533, 39522])).
% 16.30/12.39 tff(39536,plain,
% 16.30/12.39 ((~(v152(constB107) <=> (v139(constB107) | v140(constB107)))) | (~v152(constB107)) | (v139(constB107) | v140(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39537,plain,
% 16.30/12.39 (~v152(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39536, 39535, 39516])).
% 16.30/12.39 tff(39538,plain,
% 16.30/12.39 ((~(v141(constB107) | v152(constB107))) | v141(constB107) | v152(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39539,plain,
% 16.30/12.39 (~(v141(constB107) | v152(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39538, 39537, 39514])).
% 16.30/12.39 tff(39540,plain,
% 16.30/12.39 ((~(v151(constB107) <=> (v141(constB107) | v152(constB107)))) | (~v151(constB107)) | (v141(constB107) | v152(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39541,plain,
% 16.30/12.39 (~v151(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39540, 39539, 39508])).
% 16.30/12.39 tff(39542,plain,
% 16.30/12.39 ((~(v142(constB107) | v151(constB107))) | v142(constB107) | v151(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39543,plain,
% 16.30/12.39 (~(v142(constB107) | v151(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39542, 39541, 39506])).
% 16.30/12.39 tff(39544,plain,
% 16.30/12.39 ((~(v149(constB107) <=> (v142(constB107) | v151(constB107)))) | (~v149(constB107)) | (v142(constB107) | v151(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39545,plain,
% 16.30/12.39 (~v149(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39544, 39543, 39478])).
% 16.30/12.39 tff(39546,plain,
% 16.30/12.39 (((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB107) | v149(constB107))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB107) | v149(constB107))),
% 16.30/12.39 inference(rewrite,[status(thm)],[])).
% 16.30/12.39 tff(39547,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | (v148(constB107) | v149(constB107))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39548,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v148(VarCurr) | v149(VarCurr))) | v148(constB107) | v149(constB107)),
% 16.30/12.39 inference(modus_ponens,[status(thm)],[39547, 39546])).
% 16.30/12.39 tff(39549,plain,
% 16.30/12.39 (v148(constB107) | v149(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39548, 16920])).
% 16.30/12.39 tff(39550,plain,
% 16.30/12.39 (v148(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39549, 39545])).
% 16.30/12.39 tff(39551,plain,
% 16.30/12.39 ((~(v86(constB107) <=> v148(constB107))) | v86(constB107) | (~v148(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39552,plain,
% 16.30/12.39 (v86(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39551, 39550, 39476])).
% 16.30/12.39 tff(39553,plain,
% 16.30/12.39 ((~(v84(constB107) <=> v86(constB107))) | v84(constB107) | (~v86(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39554,plain,
% 16.30/12.39 ((~(v84(constB107) <=> v86(constB107))) | v84(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39553, 39552])).
% 16.30/12.39 tff(39555,plain,
% 16.30/12.39 (v84(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39554, 39430])).
% 16.30/12.39 tff(39556,plain,
% 16.30/12.39 ((~((~v208(constB107)) <=> v84(constB107))) | (~v208(constB107)) | (~v84(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39557,plain,
% 16.30/12.39 ((~((~v208(constB107)) <=> v84(constB107))) | (~v208(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39556, 39555])).
% 16.30/12.39 tff(39558,plain,
% 16.30/12.39 (~v208(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39557, 39428])).
% 16.30/12.39 tff(39559,plain,
% 16.30/12.39 (((~v184(constB107)) | (~v208(constB107))) | v208(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39560,plain,
% 16.30/12.39 ((~v184(constB107)) | (~v208(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39559, 39558])).
% 16.30/12.39 tff(39561,plain,
% 16.30/12.39 ((~(v207(constB107) <=> (~((~v184(constB107)) | (~v208(constB107)))))) | (~v207(constB107)) | (~((~v184(constB107)) | (~v208(constB107))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39562,plain,
% 16.30/12.39 (~v207(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39561, 39560, 39426])).
% 16.30/12.39 tff(39563,plain,
% 16.30/12.39 (((~v186(constB107)) | (~v207(constB107))) | v207(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39564,plain,
% 16.30/12.39 ((~v186(constB107)) | (~v207(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39563, 39562])).
% 16.30/12.39 tff(39565,plain,
% 16.30/12.39 ((~(v206(constB107) <=> (~((~v186(constB107)) | (~v207(constB107)))))) | (~v206(constB107)) | (~((~v186(constB107)) | (~v207(constB107))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39566,plain,
% 16.30/12.39 (~v206(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39565, 39564, 39419])).
% 16.30/12.39 tff(39567,plain,
% 16.30/12.39 (((~v191(constB107)) | (~v206(constB107))) | v206(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39568,plain,
% 16.30/12.39 ((~v191(constB107)) | (~v206(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39567, 39566])).
% 16.30/12.39 tff(39569,plain,
% 16.30/12.39 ((~(v209(constB107) <=> (~((~v191(constB107)) | (~v206(constB107)))))) | (~v209(constB107)) | (~((~v191(constB107)) | (~v206(constB107))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39570,plain,
% 16.30/12.39 (~v209(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39569, 39568, 39417])).
% 16.30/12.39 tff(39571,plain,
% 16.30/12.39 ((~(v205(constB107) | v209(constB107))) | v205(constB107) | v209(constB107)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39572,plain,
% 16.30/12.39 (~(v205(constB107) | v209(constB107))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39571, 39570, 39410])).
% 16.30/12.39 tff(39573,plain,
% 16.30/12.39 ((~(v204(constB107) <=> (v205(constB107) | v209(constB107)))) | (~v204(constB107)) | (v205(constB107) | v209(constB107))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39574,plain,
% 16.30/12.39 (~v204(constB107)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39573, 39572, 39159])).
% 16.30/12.39 tff(39575,plain,
% 16.30/12.39 ($false),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39574, 39157])).
% 16.30/12.39 tff(39576,plain,(~(constB107 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.30/12.39 tff(39577,assumption,(constB145 = VarCurr!0), introduced(assumption)).
% 16.30/12.39 tff(39578,plain,
% 16.30/12.39 (v204(constB145) <=> v204(VarCurr!0)),
% 16.30/12.39 inference(monotonicity,[status(thm)],[39577])).
% 16.30/12.39 tff(39579,plain,
% 16.30/12.39 (v204(VarCurr!0) <=> v204(constB145)),
% 16.30/12.39 inference(symmetry,[status(thm)],[39578])).
% 16.30/12.39 tff(39580,plain,
% 16.30/12.39 (v204(constB145)),
% 16.30/12.39 inference(modus_ponens,[status(thm)],[27, 39579])).
% 16.30/12.39 tff(39581,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v204(VarCurr) <=> (v205(VarCurr) | v209(VarCurr)))) | (v204(constB145) <=> (v205(constB145) | v209(constB145)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39582,plain,
% 16.30/12.39 (v204(constB145) <=> (v205(constB145) | v209(constB145))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39581, 35])).
% 16.30/12.39 tff(39583,plain,
% 16.30/12.39 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145))))))),
% 16.30/12.39 inference(rewrite,[status(thm)],[])).
% 16.30/12.39 tff(39584,plain,
% 16.30/12.39 ((v209(constB145) <=> (~((~v206(constB145)) | (~v191(constB145))))) <=> (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145)))))),
% 16.30/12.39 inference(rewrite,[status(thm)],[])).
% 16.30/12.39 tff(39585,plain,
% 16.30/12.39 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v206(constB145)) | (~v191(constB145)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145))))))),
% 16.30/12.39 inference(monotonicity,[status(thm)],[39584])).
% 16.30/12.39 tff(39586,plain,
% 16.30/12.39 (((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v206(constB145)) | (~v191(constB145)))))) <=> ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145))))))),
% 16.30/12.39 inference(transitivity,[status(thm)],[39585, 39583])).
% 16.30/12.39 tff(39587,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v206(constB145)) | (~v191(constB145)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39588,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v209(VarCurr) <=> (~((~v206(VarCurr)) | (~v191(VarCurr)))))) | (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145)))))),
% 16.30/12.39 inference(modus_ponens,[status(thm)],[39587, 39586])).
% 16.30/12.39 tff(39589,plain,
% 16.30/12.39 (v209(constB145) <=> (~((~v191(constB145)) | (~v206(constB145))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39588, 47])).
% 16.30/12.39 tff(39590,plain,
% 16.30/12.39 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB145) <=> v196(constB145))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39591,plain,
% 16.30/12.39 (v191(constB145) <=> v196(constB145)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39590, 64])).
% 16.30/12.39 tff(39592,plain,
% 16.30/12.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB144, constB145)) | (v196(constB145) <=> v194(constB144)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB144, constB145)) | (v196(constB145) <=> v194(constB144)))),
% 16.30/12.39 inference(rewrite,[status(thm)],[])).
% 16.30/12.39 tff(39593,plain,
% 16.30/12.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB144, constB145)) | (v196(constB145) <=> v194(constB144)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39594,plain,
% 16.30/12.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB144, constB145)) | (v196(constB145) <=> v194(constB144))),
% 16.30/12.39 inference(modus_ponens,[status(thm)],[39593, 39592])).
% 16.30/12.39 tff(39595,plain,
% 16.30/12.39 (v196(constB145) <=> v194(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39594, 20152, 76])).
% 16.30/12.39 tff(39596,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB144) <=> (v197(constB144) | v198(constB144)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39597,plain,
% 16.30/12.39 (v194(constB144) <=> (v197(constB144) | v198(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39596, 90])).
% 16.30/12.39 tff(39598,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB144) <=> (~((~v158(constB144)) | (~v199(constB144)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39599,plain,
% 16.30/12.39 (v198(constB144) <=> (~((~v158(constB144)) | (~v199(constB144))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39598, 102])).
% 16.30/12.39 tff(39600,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v199(VarCurr) <=> (~((~v186(VarCurr)) | (~v200(VarCurr)))))) | (v199(constB144) <=> (~((~v186(constB144)) | (~v200(constB144)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39601,plain,
% 16.30/12.39 (v199(constB144) <=> (~((~v186(constB144)) | (~v200(constB144))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39600, 114])).
% 16.30/12.39 tff(39602,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v184(VarCurr)) | (~v84(VarCurr)))))) | (v200(constB144) <=> (~((~v184(constB144)) | (~v84(constB144)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39603,plain,
% 16.30/12.39 (v200(constB144) <=> (~((~v184(constB144)) | (~v84(constB144))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39602, 126])).
% 16.30/12.39 tff(39604,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39605,plain,
% 16.30/12.39 (v184(constB144) <=> (~((~v39(constB144)) | (~v9(constB144))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39604, 138])).
% 16.30/12.39 tff(39606,plain,
% 16.30/12.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB144)) <=> v1(constB144))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39607,plain,
% 16.30/12.39 ((~v39(constB144)) <=> v1(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39606, 147])).
% 16.30/12.39 tff(39608,plain,
% 16.30/12.39 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144)) | (~v1(constB144))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39609,plain,
% 16.30/12.39 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39608, 20214])).
% 16.30/12.39 tff(39610,plain,
% 16.30/12.39 (~v39(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39609, 39607])).
% 16.30/12.39 tff(39611,plain,
% 16.30/12.39 (((~v39(constB144)) | (~v9(constB144))) | v39(constB144)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39612,plain,
% 16.30/12.39 ((~v39(constB144)) | (~v9(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39611, 39610])).
% 16.30/12.39 tff(39613,plain,
% 16.30/12.39 ((~(v184(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v184(constB144)) | (~((~v39(constB144)) | (~v9(constB144))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39614,plain,
% 16.30/12.39 ((~(v184(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v184(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39613, 39612])).
% 16.30/12.39 tff(39615,plain,
% 16.30/12.39 (~v184(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39614, 39605])).
% 16.30/12.39 tff(39616,plain,
% 16.30/12.39 (((~v184(constB144)) | (~v84(constB144))) | v184(constB144)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39617,plain,
% 16.30/12.39 ((~v184(constB144)) | (~v84(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39616, 39615])).
% 16.30/12.39 tff(39618,plain,
% 16.30/12.39 ((~(v200(constB144) <=> (~((~v184(constB144)) | (~v84(constB144)))))) | (~v200(constB144)) | (~((~v184(constB144)) | (~v84(constB144))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39619,plain,
% 16.30/12.39 ((~(v200(constB144) <=> (~((~v184(constB144)) | (~v84(constB144)))))) | (~v200(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39618, 39617])).
% 16.30/12.39 tff(39620,plain,
% 16.30/12.39 (~v200(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39619, 39603])).
% 16.30/12.39 tff(39621,plain,
% 16.30/12.39 (((~v186(constB144)) | (~v200(constB144))) | v200(constB144)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39622,plain,
% 16.30/12.39 ((~v186(constB144)) | (~v200(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39621, 39620])).
% 16.30/12.39 tff(39623,plain,
% 16.30/12.39 ((~(v199(constB144) <=> (~((~v186(constB144)) | (~v200(constB144)))))) | (~v199(constB144)) | (~((~v186(constB144)) | (~v200(constB144))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39624,plain,
% 16.30/12.39 (~v199(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39623, 39622, 39601])).
% 16.30/12.39 tff(39625,plain,
% 16.30/12.39 (((~v158(constB144)) | (~v199(constB144))) | v199(constB144)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39626,plain,
% 16.30/12.39 ((~v158(constB144)) | (~v199(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39625, 39624])).
% 16.30/12.39 tff(39627,plain,
% 16.30/12.39 ((~(v198(constB144) <=> (~((~v158(constB144)) | (~v199(constB144)))))) | (~v198(constB144)) | (~((~v158(constB144)) | (~v199(constB144))))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39628,plain,
% 16.30/12.39 (~v198(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39627, 39626, 39599])).
% 16.30/12.39 tff(39629,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB144) <=> (~((~v182(constB144)) | (~v191(constB144)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39630,plain,
% 16.30/12.39 (v197(constB144) <=> (~((~v182(constB144)) | (~v191(constB144))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39629, 183])).
% 16.30/12.39 tff(39631,plain,
% 16.30/12.39 ((~![VarNext: $i] : (v191(VarNext) <=> v196(VarNext))) | (v191(constB144) <=> v196(constB144))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39632,plain,
% 16.30/12.39 (v191(constB144) <=> v196(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39631, 64])).
% 16.30/12.39 tff(39633,plain,
% 16.30/12.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB143, constB144)) | (v196(constB144) <=> v194(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB143, constB144)) | (v196(constB144) <=> v194(constB143)))),
% 16.30/12.39 inference(rewrite,[status(thm)],[])).
% 16.30/12.39 tff(39634,plain,
% 16.30/12.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | ((~nextState(constB143, constB144)) | (v196(constB144) <=> v194(constB143)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39635,plain,
% 16.30/12.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v196(VarNext) <=> v194(VarCurr)))) | (~nextState(constB143, constB144)) | (v196(constB144) <=> v194(constB143))),
% 16.30/12.39 inference(modus_ponens,[status(thm)],[39634, 39633])).
% 16.30/12.39 tff(39636,plain,
% 16.30/12.39 (v196(constB144) <=> v194(constB143)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39635, 20184, 76])).
% 16.30/12.39 tff(39637,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v194(VarCurr) <=> (v197(VarCurr) | v198(VarCurr)))) | (v194(constB143) <=> (v197(constB143) | v198(constB143)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39638,plain,
% 16.30/12.39 (v194(constB143) <=> (v197(constB143) | v198(constB143))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39637, 90])).
% 16.30/12.39 tff(39639,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v182(VarCurr)) | (~v191(VarCurr)))))) | (v197(constB143) <=> (~((~v182(constB143)) | (~v191(constB143)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39640,plain,
% 16.30/12.39 (v197(constB143) <=> (~((~v182(constB143)) | (~v191(constB143))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39639, 183])).
% 16.30/12.39 tff(39641,plain,
% 16.30/12.39 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB143)) <=> v183(constB143))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39642,plain,
% 16.30/12.39 ((~v182(constB143)) <=> v183(constB143)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39641, 205])).
% 16.30/12.39 tff(39643,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB143) <=> (v184(constB143) | v26(constB143)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39644,plain,
% 16.30/12.39 (v183(constB143) <=> (v184(constB143) | v26(constB143))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39643, 214])).
% 16.30/12.39 tff(39645,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39646,plain,
% 16.30/12.39 (v184(constB143) <=> (~((~v39(constB143)) | (~v9(constB143))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39645, 138])).
% 16.30/12.39 tff(39647,plain,
% 16.30/12.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 16.30/12.39 inference(rewrite,[status(thm)],[])).
% 16.30/12.39 tff(39648,plain,
% 16.30/12.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39649,plain,
% 16.30/12.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143))),
% 16.30/12.39 inference(modus_ponens,[status(thm)],[39648, 39647])).
% 16.30/12.39 tff(39650,plain,
% 16.30/12.39 (v13(constB144) <=> v9(constB143)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39649, 20184, 228])).
% 16.30/12.39 tff(39651,plain,
% 16.30/12.39 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB144) <=> v13(constB144))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39652,plain,
% 16.30/12.39 (v6(constB144) <=> v13(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39651, 242])).
% 16.30/12.39 tff(39653,plain,
% 16.30/12.39 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB144)) <=> v6(constB144))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39654,plain,
% 16.30/12.39 ((~v21(constB144)) <=> v6(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39653, 251])).
% 16.30/12.39 tff(39655,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB144) <=> (v20(constB144) | v21(constB144)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39656,plain,
% 16.30/12.39 (v19(constB144) <=> (v20(constB144) | v21(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39655, 260])).
% 16.30/12.39 tff(39657,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39658,plain,
% 16.30/12.39 (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144))))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39657, 272])).
% 16.30/12.39 tff(39659,plain,
% 16.30/12.39 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB144)) <=> v18(constB144))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39660,plain,
% 16.30/12.39 ((~v4(constB144)) <=> v18(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39659, 281])).
% 16.30/12.39 tff(39661,plain,
% 16.30/12.39 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB144)),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39662,plain,
% 16.30/12.39 (v4(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39661, 290])).
% 16.30/12.39 tff(39663,plain,
% 16.30/12.39 ((~((~v4(constB144)) <=> v18(constB144))) | (~v4(constB144)) | (~v18(constB144))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39664,plain,
% 16.30/12.39 (~v18(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39663, 39662, 39660])).
% 16.30/12.39 tff(39665,plain,
% 16.30/12.39 ((~(v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))) | v18(constB144) | ((~v19(constB144)) | (~v22(constB144)))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39666,plain,
% 16.30/12.39 ((~v19(constB144)) | (~v22(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39665, 39664, 39658])).
% 16.30/12.39 tff(39667,plain,
% 16.30/12.39 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB144) <=> (v1(constB144) | v6(constB144)))),
% 16.30/12.39 inference(quant_inst,[status(thm)],[])).
% 16.30/12.39 tff(39668,plain,
% 16.30/12.39 (v22(constB144) <=> (v1(constB144) | v6(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39667, 303])).
% 16.30/12.39 tff(39669,plain,
% 16.30/12.39 ((v1(constB144) | v6(constB144)) | (~v1(constB144))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39670,plain,
% 16.30/12.39 (v1(constB144) | v6(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39669, 20214])).
% 16.30/12.39 tff(39671,plain,
% 16.30/12.39 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144) | (~(v1(constB144) | v6(constB144)))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39672,plain,
% 16.30/12.39 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39671, 39670])).
% 16.30/12.39 tff(39673,plain,
% 16.30/12.39 (v22(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39672, 39668])).
% 16.30/12.39 tff(39674,plain,
% 16.30/12.39 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144)) | (~v22(constB144))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39675,plain,
% 16.30/12.39 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39674, 39673])).
% 16.30/12.39 tff(39676,plain,
% 16.30/12.39 (~v19(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39675, 39666])).
% 16.30/12.39 tff(39677,plain,
% 16.30/12.39 ((~(v19(constB144) <=> (v20(constB144) | v21(constB144)))) | v19(constB144) | (~(v20(constB144) | v21(constB144)))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39678,plain,
% 16.30/12.39 (~(v20(constB144) | v21(constB144))),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39677, 39676, 39656])).
% 16.30/12.39 tff(39679,plain,
% 16.30/12.39 ((v20(constB144) | v21(constB144)) | (~v21(constB144))),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39680,plain,
% 16.30/12.39 (~v21(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39679, 39678])).
% 16.30/12.39 tff(39681,plain,
% 16.30/12.39 ((~((~v21(constB144)) <=> v6(constB144))) | v21(constB144) | v6(constB144)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39682,plain,
% 16.30/12.39 (v6(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39681, 39680, 39654])).
% 16.30/12.39 tff(39683,plain,
% 16.30/12.39 ((~(v6(constB144) <=> v13(constB144))) | (~v6(constB144)) | v13(constB144)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39684,plain,
% 16.30/12.39 (v13(constB144)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39683, 39682, 39652])).
% 16.30/12.39 tff(39685,plain,
% 16.30/12.39 ((~(v13(constB144) <=> v9(constB143))) | (~v13(constB144)) | v9(constB143)),
% 16.30/12.39 inference(tautology,[status(thm)],[])).
% 16.30/12.39 tff(39686,plain,
% 16.30/12.39 (v9(constB143)),
% 16.30/12.39 inference(unit_resolution,[status(thm)],[39685, 39684, 39650])).
% 16.30/12.39 tff(39687,plain,
% 16.30/12.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB143)) <=> v1(constB143))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39688,plain,
% 16.30/12.40 ((~v39(constB143)) <=> v1(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39687, 147])).
% 16.30/12.40 tff(39689,plain,
% 16.30/12.40 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143) | v1(constB143)),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39690,plain,
% 16.30/12.40 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39689, 20206])).
% 16.30/12.40 tff(39691,plain,
% 16.30/12.40 (v39(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39690, 39688])).
% 16.30/12.40 tff(39692,plain,
% 16.30/12.40 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v39(constB143)) | (~v9(constB143))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39693,plain,
% 16.30/12.40 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v9(constB143))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39692, 39691])).
% 16.30/12.40 tff(39694,plain,
% 16.30/12.40 (~((~v39(constB143)) | (~v9(constB143)))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39693, 39686])).
% 16.30/12.40 tff(39695,plain,
% 16.30/12.40 ((~(v184(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))) | v184(constB143) | ((~v39(constB143)) | (~v9(constB143)))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39696,plain,
% 16.30/12.40 (v184(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39695, 39694, 39646])).
% 16.30/12.40 tff(39697,plain,
% 16.30/12.40 ((v184(constB143) | v26(constB143)) | (~v184(constB143))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39698,plain,
% 16.30/12.40 (v184(constB143) | v26(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39697, 39696])).
% 16.30/12.40 tff(39699,plain,
% 16.30/12.40 ((~(v183(constB143) <=> (v184(constB143) | v26(constB143)))) | v183(constB143) | (~(v184(constB143) | v26(constB143)))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39700,plain,
% 16.30/12.40 (v183(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39699, 39698, 39644])).
% 16.30/12.40 tff(39701,plain,
% 16.30/12.40 ((~((~v182(constB143)) <=> v183(constB143))) | (~v182(constB143)) | (~v183(constB143))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39702,plain,
% 16.30/12.40 (~v182(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39701, 39700, 39642])).
% 16.30/12.40 tff(39703,plain,
% 16.30/12.40 (((~v182(constB143)) | (~v191(constB143))) | v182(constB143)),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39704,plain,
% 16.30/12.40 ((~v182(constB143)) | (~v191(constB143))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39703, 39702])).
% 16.30/12.40 tff(39705,plain,
% 16.30/12.40 ((~(v197(constB143) <=> (~((~v182(constB143)) | (~v191(constB143)))))) | (~v197(constB143)) | (~((~v182(constB143)) | (~v191(constB143))))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39706,plain,
% 16.30/12.40 (~v197(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39705, 39704, 39640])).
% 16.30/12.40 tff(39707,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v158(VarCurr)) | (~v199(VarCurr)))))) | (v198(constB143) <=> (~((~v158(constB143)) | (~v199(constB143)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39708,plain,
% 16.30/12.40 (v198(constB143) <=> (~((~v158(constB143)) | (~v199(constB143))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39707, 102])).
% 16.30/12.40 tff(39709,plain,
% 16.30/12.40 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB143) <=> v180(constB143))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39710,plain,
% 16.30/12.40 (v158(constB143) <=> v180(constB143)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39709, 358])).
% 16.30/12.40 tff(39711,plain,
% 16.30/12.40 (((~![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)))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39712,plain,
% 16.30/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39713,plain,
% 16.30/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142))),
% 16.30/12.40 inference(modus_ponens,[status(thm)],[39712, 39711])).
% 16.30/12.40 tff(39714,plain,
% 16.30/12.40 (v180(constB143) <=> v178(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39713, 20241, 370])).
% 16.30/12.40 tff(39715,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB142) <=> (v181(constB142) | v185(constB142)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39716,plain,
% 16.30/12.40 (v178(constB142) <=> (v181(constB142) | v185(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39715, 384])).
% 16.30/12.40 tff(39717,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39718,plain,
% 16.30/12.40 (v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39717, 396])).
% 16.30/12.40 tff(39719,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB142) <=> (~((~v184(constB142)) | (~v160(constB142)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39720,plain,
% 16.30/12.40 (v187(constB142) <=> (~((~v184(constB142)) | (~v160(constB142))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39719, 408])).
% 16.30/12.40 tff(39721,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39722,plain,
% 16.30/12.40 (v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39721, 138])).
% 16.30/12.40 tff(39723,plain,
% 16.30/12.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39724,plain,
% 16.30/12.40 ((~v39(constB142)) <=> v1(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39723, 147])).
% 16.30/12.40 tff(39725,plain,
% 16.30/12.40 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39726,plain,
% 16.30/12.40 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39725, 20303])).
% 16.30/12.40 tff(39727,plain,
% 16.30/12.40 (~v39(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39726, 39724])).
% 16.30/12.40 tff(39728,plain,
% 16.30/12.40 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39729,plain,
% 16.30/12.40 ((~v39(constB142)) | (~v9(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39728, 39727])).
% 16.30/12.40 tff(39730,plain,
% 16.30/12.40 ((~(v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v184(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39731,plain,
% 16.30/12.40 ((~(v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v184(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39730, 39729])).
% 16.30/12.40 tff(39732,plain,
% 16.30/12.40 (~v184(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39731, 39722])).
% 16.30/12.40 tff(39733,plain,
% 16.30/12.40 (((~v184(constB142)) | (~v160(constB142))) | v184(constB142)),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39734,plain,
% 16.30/12.40 ((~v184(constB142)) | (~v160(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39733, 39732])).
% 16.30/12.40 tff(39735,plain,
% 16.30/12.40 ((~(v187(constB142) <=> (~((~v184(constB142)) | (~v160(constB142)))))) | (~v187(constB142)) | (~((~v184(constB142)) | (~v160(constB142))))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39736,plain,
% 16.30/12.40 ((~(v187(constB142) <=> (~((~v184(constB142)) | (~v160(constB142)))))) | (~v187(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39735, 39734])).
% 16.30/12.40 tff(39737,plain,
% 16.30/12.40 (~v187(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39736, 39720])).
% 16.30/12.40 tff(39738,plain,
% 16.30/12.40 (((~v186(constB142)) | (~v187(constB142))) | v187(constB142)),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39739,plain,
% 16.30/12.40 ((~v186(constB142)) | (~v187(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39738, 39737])).
% 16.30/12.40 tff(39740,plain,
% 16.30/12.40 ((~(v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142)))))) | (~v185(constB142)) | (~((~v186(constB142)) | (~v187(constB142))))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39741,plain,
% 16.30/12.40 (~v185(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39740, 39739, 39718])).
% 16.30/12.40 tff(39742,plain,
% 16.30/12.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142))))))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39743,plain,
% 16.30/12.40 ((v181(constB142) <=> (~((~v182(constB142)) | (~v158(constB142))))) <=> (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142)))))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39744,plain,
% 16.30/12.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v158(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142))))))),
% 16.30/12.40 inference(monotonicity,[status(thm)],[39743])).
% 16.30/12.40 tff(39745,plain,
% 16.30/12.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v158(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142))))))),
% 16.30/12.40 inference(transitivity,[status(thm)],[39744, 39742])).
% 16.30/12.40 tff(39746,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v158(constB142)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39747,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142)))))),
% 16.30/12.40 inference(modus_ponens,[status(thm)],[39746, 39745])).
% 16.30/12.40 tff(39748,plain,
% 16.30/12.40 (v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39747, 444])).
% 16.30/12.40 tff(39749,plain,
% 16.30/12.40 ((~![VarNext: $i] : (v158(VarNext) <=> v180(VarNext))) | (v158(constB142) <=> v180(constB142))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39750,plain,
% 16.30/12.40 (v158(constB142) <=> v180(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39749, 358])).
% 16.30/12.40 tff(39751,plain,
% 16.30/12.40 (((~![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)))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39752,plain,
% 16.30/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39753,plain,
% 16.30/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141))),
% 16.30/12.40 inference(modus_ponens,[status(thm)],[39752, 39751])).
% 16.30/12.40 tff(39754,plain,
% 16.30/12.40 (v180(constB142) <=> v178(constB141)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39753, 20273, 370])).
% 16.30/12.40 tff(39755,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB141) <=> (v181(constB141) | v185(constB141)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39756,plain,
% 16.30/12.40 (v178(constB141) <=> (v181(constB141) | v185(constB141))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39755, 384])).
% 16.30/12.40 tff(39757,plain,
% 16.30/12.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141))))))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39758,plain,
% 16.30/12.40 ((v181(constB141) <=> (~((~v182(constB141)) | (~v158(constB141))))) <=> (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141)))))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39759,plain,
% 16.30/12.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v158(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141))))))),
% 16.30/12.40 inference(monotonicity,[status(thm)],[39758])).
% 16.30/12.40 tff(39760,plain,
% 16.30/12.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v158(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141))))))),
% 16.30/12.40 inference(transitivity,[status(thm)],[39759, 39757])).
% 16.30/12.40 tff(39761,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v158(constB141)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39762,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v158(VarCurr)))))) | (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141)))))),
% 16.30/12.40 inference(modus_ponens,[status(thm)],[39761, 39760])).
% 16.30/12.40 tff(39763,plain,
% 16.30/12.40 (v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39762, 444])).
% 16.30/12.40 tff(39764,plain,
% 16.30/12.40 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB141)) <=> v183(constB141))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39765,plain,
% 16.30/12.40 ((~v182(constB141)) <=> v183(constB141)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39764, 205])).
% 16.30/12.40 tff(39766,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB141) <=> (v184(constB141) | v26(constB141)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39767,plain,
% 16.30/12.40 (v183(constB141) <=> (v184(constB141) | v26(constB141))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39766, 214])).
% 16.30/12.40 tff(39768,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39769,plain,
% 16.30/12.40 (v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39768, 138])).
% 16.30/12.40 tff(39770,plain,
% 16.30/12.40 (((~![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)))),
% 16.30/12.40 inference(rewrite,[status(thm)],[])).
% 16.30/12.40 tff(39771,plain,
% 16.30/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39772,plain,
% 16.30/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 16.30/12.40 inference(modus_ponens,[status(thm)],[39771, 39770])).
% 16.30/12.40 tff(39773,plain,
% 16.30/12.40 (v13(constB142) <=> v9(constB141)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39772, 20273, 228])).
% 16.30/12.40 tff(39774,plain,
% 16.30/12.40 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39775,plain,
% 16.30/12.40 (v6(constB142) <=> v13(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39774, 242])).
% 16.30/12.40 tff(39776,plain,
% 16.30/12.40 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39777,plain,
% 16.30/12.40 ((~v21(constB142)) <=> v6(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39776, 251])).
% 16.30/12.40 tff(39778,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39779,plain,
% 16.30/12.40 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39778, 260])).
% 16.30/12.40 tff(39780,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39781,plain,
% 16.30/12.40 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39780, 272])).
% 16.30/12.40 tff(39782,plain,
% 16.30/12.40 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39783,plain,
% 16.30/12.40 ((~v4(constB142)) <=> v18(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39782, 281])).
% 16.30/12.40 tff(39784,plain,
% 16.30/12.40 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB142)),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39785,plain,
% 16.30/12.40 (v4(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39784, 290])).
% 16.30/12.40 tff(39786,plain,
% 16.30/12.40 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39787,plain,
% 16.30/12.40 (~v18(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39786, 39785, 39783])).
% 16.30/12.40 tff(39788,plain,
% 16.30/12.40 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39789,plain,
% 16.30/12.40 ((~v19(constB142)) | (~v22(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39788, 39787, 39781])).
% 16.30/12.40 tff(39790,plain,
% 16.30/12.40 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 16.30/12.40 inference(quant_inst,[status(thm)],[])).
% 16.30/12.40 tff(39791,plain,
% 16.30/12.40 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39790, 303])).
% 16.30/12.40 tff(39792,plain,
% 16.30/12.40 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39793,plain,
% 16.30/12.40 (v1(constB142) | v6(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39792, 20303])).
% 16.30/12.40 tff(39794,plain,
% 16.30/12.40 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39795,plain,
% 16.30/12.40 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39794, 39793])).
% 16.30/12.40 tff(39796,plain,
% 16.30/12.40 (v22(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39795, 39791])).
% 16.30/12.40 tff(39797,plain,
% 16.30/12.40 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39798,plain,
% 16.30/12.40 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39797, 39796])).
% 16.30/12.40 tff(39799,plain,
% 16.30/12.40 (~v19(constB142)),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39798, 39789])).
% 16.30/12.40 tff(39800,plain,
% 16.30/12.40 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39801,plain,
% 16.30/12.40 (~(v20(constB142) | v21(constB142))),
% 16.30/12.40 inference(unit_resolution,[status(thm)],[39800, 39799, 39779])).
% 16.30/12.40 tff(39802,plain,
% 16.30/12.40 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 16.30/12.40 inference(tautology,[status(thm)],[])).
% 16.30/12.40 tff(39803,plain,
% 16.30/12.40 (~v21(constB142)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39802, 39801])).
% 16.30/12.41 tff(39804,plain,
% 16.30/12.41 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39805,plain,
% 16.30/12.41 (v6(constB142)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39804, 39803, 39777])).
% 16.30/12.41 tff(39806,plain,
% 16.30/12.41 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39807,plain,
% 16.30/12.41 (v13(constB142)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39806, 39805, 39775])).
% 16.30/12.41 tff(39808,plain,
% 16.30/12.41 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39809,plain,
% 16.30/12.41 (v9(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39808, 39807, 39773])).
% 16.30/12.41 tff(39810,plain,
% 16.30/12.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39811,plain,
% 16.30/12.41 ((~v39(constB141)) <=> v1(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39810, 147])).
% 16.30/12.41 tff(39812,plain,
% 16.30/12.41 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39813,plain,
% 16.30/12.41 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39812, 20295])).
% 16.30/12.41 tff(39814,plain,
% 16.30/12.41 (v39(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39813, 39811])).
% 16.30/12.41 tff(39815,plain,
% 16.30/12.41 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39816,plain,
% 16.30/12.41 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39815, 39814])).
% 16.30/12.41 tff(39817,plain,
% 16.30/12.41 (~((~v39(constB141)) | (~v9(constB141)))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39816, 39809])).
% 16.30/12.41 tff(39818,plain,
% 16.30/12.41 ((~(v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v184(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39819,plain,
% 16.30/12.41 (v184(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39818, 39817, 39769])).
% 16.30/12.41 tff(39820,plain,
% 16.30/12.41 ((v184(constB141) | v26(constB141)) | (~v184(constB141))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39821,plain,
% 16.30/12.41 (v184(constB141) | v26(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39820, 39819])).
% 16.30/12.41 tff(39822,plain,
% 16.30/12.41 ((~(v183(constB141) <=> (v184(constB141) | v26(constB141)))) | v183(constB141) | (~(v184(constB141) | v26(constB141)))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39823,plain,
% 16.30/12.41 (v183(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39822, 39821, 39767])).
% 16.30/12.41 tff(39824,plain,
% 16.30/12.41 ((~((~v182(constB141)) <=> v183(constB141))) | (~v182(constB141)) | (~v183(constB141))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39825,plain,
% 16.30/12.41 (~v182(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39824, 39823, 39765])).
% 16.30/12.41 tff(39826,plain,
% 16.30/12.41 (((~v158(constB141)) | (~v182(constB141))) | v182(constB141)),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39827,plain,
% 16.30/12.41 ((~v158(constB141)) | (~v182(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39826, 39825])).
% 16.30/12.41 tff(39828,plain,
% 16.30/12.41 ((~(v181(constB141) <=> (~((~v158(constB141)) | (~v182(constB141)))))) | (~v181(constB141)) | (~((~v158(constB141)) | (~v182(constB141))))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39829,plain,
% 16.30/12.41 (~v181(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39828, 39827, 39763])).
% 16.30/12.41 tff(39830,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141)))))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39831,plain,
% 16.30/12.41 (v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141))))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39830, 396])).
% 16.30/12.41 tff(39832,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v160(VarCurr)))))) | (v187(constB141) <=> (~((~v184(constB141)) | (~v160(constB141)))))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39833,plain,
% 16.30/12.41 (v187(constB141) <=> (~((~v184(constB141)) | (~v160(constB141))))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39832, 408])).
% 16.30/12.41 tff(39834,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v160(VarCurr) <=> v162(VarCurr))) | (v160(constB141) <=> v162(constB141))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39835,plain,
% 16.30/12.41 (v160(constB141) <=> v162(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39834, 549])).
% 16.30/12.41 tff(39836,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)))))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39837,plain,
% 16.30/12.41 (v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0))))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39836, 564])).
% 16.30/12.41 tff(39838,plain,
% 16.30/12.41 (((~![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)))),
% 16.30/12.41 inference(rewrite,[status(thm)],[])).
% 16.30/12.41 tff(39839,plain,
% 16.30/12.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2)))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39840,plain,
% 16.30/12.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2))),
% 16.30/12.41 inference(modus_ponens,[status(thm)],[39839, 39838])).
% 16.30/12.41 tff(39841,plain,
% 16.30/12.41 (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39840, 579, 576])).
% 16.30/12.41 tff(39842,plain,
% 16.30/12.41 ((~(v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2))) | v88(constB141, bitIndex2) | (~v90(constB141, bitIndex2))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39843,plain,
% 16.30/12.41 (v88(constB141, bitIndex2)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39842, 22283, 39841])).
% 16.30/12.41 tff(39844,plain,
% 16.30/12.41 ((v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0))) | (~v88(constB141, bitIndex2))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39845,plain,
% 16.30/12.41 (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39844, 39843])).
% 16.30/12.41 tff(39846,plain,
% 16.30/12.41 ((~(v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)))))) | (~v141(constB141)) | (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0))))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39847,plain,
% 16.30/12.41 (~v141(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39846, 39845, 39837])).
% 16.30/12.41 tff(39848,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v170(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v170(constB141) <=> (v139(constB141) | v140(constB141)))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39849,plain,
% 16.30/12.41 (v170(constB141) <=> (v139(constB141) | v140(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39848, 2216])).
% 16.30/12.41 tff(39850,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2))))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39851,plain,
% 16.30/12.41 (v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39850, 2231])).
% 16.30/12.41 tff(39852,plain,
% 16.30/12.41 ((v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)) | (~v88(constB141, bitIndex2))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39853,plain,
% 16.30/12.41 (v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39852, 39843])).
% 16.30/12.41 tff(39854,plain,
% 16.30/12.41 ((~(v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2))))) | (~v139(constB141)) | (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39855,plain,
% 16.30/12.41 (~v139(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39854, 39853, 39851])).
% 16.30/12.41 tff(39856,plain,
% 16.30/12.41 (((~![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))))))),
% 16.30/12.41 inference(rewrite,[status(thm)],[])).
% 16.30/12.41 tff(39857,plain,
% 16.30/12.41 ((v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))) <=> (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))),
% 16.30/12.41 inference(rewrite,[status(thm)],[])).
% 16.30/12.41 tff(39858,plain,
% 16.30/12.41 (((~![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))))))),
% 16.30/12.41 inference(monotonicity,[status(thm)],[39857])).
% 16.30/12.41 tff(39859,plain,
% 16.30/12.41 (((~![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))))))),
% 16.30/12.41 inference(transitivity,[status(thm)],[39858, 39856])).
% 16.30/12.41 tff(39860,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39861,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))),
% 16.30/12.41 inference(modus_ponens,[status(thm)],[39860, 39859])).
% 16.30/12.41 tff(39862,plain,
% 16.30/12.41 (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39861, 2250])).
% 16.30/12.41 tff(39863,plain,
% 16.30/12.41 ((v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))) | (~v88(constB141, bitIndex2))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39864,plain,
% 16.30/12.41 (v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39863, 39843])).
% 16.30/12.41 tff(39865,plain,
% 16.30/12.41 ((~(v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))) | (~v140(constB141)) | (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39866,plain,
% 16.30/12.41 (~v140(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39865, 39864, 39862])).
% 16.30/12.41 tff(39867,plain,
% 16.30/12.41 ((~(v139(constB141) | v140(constB141))) | v139(constB141) | v140(constB141)),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39868,plain,
% 16.30/12.41 (~(v139(constB141) | v140(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39867, 39866, 39855])).
% 16.30/12.41 tff(39869,plain,
% 16.30/12.41 ((~(v170(constB141) <=> (v139(constB141) | v140(constB141)))) | (~v170(constB141)) | (v139(constB141) | v140(constB141))),
% 16.30/12.41 inference(tautology,[status(thm)],[])).
% 16.30/12.41 tff(39870,plain,
% 16.30/12.41 (~v170(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39869, 39868, 39849])).
% 16.30/12.41 tff(39871,plain,
% 16.30/12.41 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB141) | v170(constB141) | (~v169(constB141)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB141) | v170(constB141) | (~v169(constB141)))),
% 16.30/12.41 inference(rewrite,[status(thm)],[])).
% 16.30/12.41 tff(39872,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB141) | v170(constB141) | (~v169(constB141)))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39873,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB141) | v170(constB141) | (~v169(constB141))),
% 16.30/12.41 inference(modus_ponens,[status(thm)],[39872, 39871])).
% 16.30/12.41 tff(39874,plain,
% 16.30/12.41 (v141(constB141) | v170(constB141) | (~v169(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39873, 2278])).
% 16.30/12.41 tff(39875,plain,
% 16.30/12.41 (~v169(constB141)),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39874, 39870, 39847])).
% 16.30/12.41 tff(39876,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v145(VarCurr) | v166(VarCurr)))) | (v165(constB141) <=> (v145(constB141) | v166(constB141)))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39877,plain,
% 16.30/12.41 (v165(constB141) <=> (v145(constB141) | v166(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39876, 2293])).
% 16.30/12.41 tff(39878,plain,
% 16.30/12.41 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB141) <=> (v146(constB141) | v147(constB141)))),
% 16.30/12.41 inference(quant_inst,[status(thm)],[])).
% 16.30/12.41 tff(39879,plain,
% 16.30/12.41 (v145(constB141) <=> (v146(constB141) | v147(constB141))),
% 16.30/12.41 inference(unit_resolution,[status(thm)],[39878, 2302])).
% 16.30/12.41 tff(39880,plain,
% 16.30/12.41 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1)))))),
% 16.30/12.41 inference(rewrite,[status(thm)],[])).
% 16.30/12.41 tff(39881,plain,
% 16.30/12.41 ((v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2))))) <=> (v146(constB141) <=> (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))))),
% 16.30/12.41 inference(rewrite,[status(thm)],[])).
% 16.30/12.41 tff(39882,plain,
% 16.30/12.41 (((~![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, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1)))))),
% 16.30/12.41 inference(monotonicity,[status(thm)],[39881])).
% 16.30/12.41 tff(39883,plain,
% 16.30/12.41 (((~![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, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1)))))),
% 16.30/12.42 inference(transitivity,[status(thm)],[39882, 39880])).
% 16.30/12.42 tff(39884,plain,
% 16.30/12.42 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))),
% 16.30/12.42 inference(quant_inst,[status(thm)],[])).
% 16.30/12.42 tff(39885,plain,
% 16.30/12.42 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))))),
% 16.30/12.42 inference(modus_ponens,[status(thm)],[39884, 39883])).
% 16.30/12.42 tff(39886,plain,
% 16.30/12.42 (v146(constB141) <=> (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1)))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39885, 16288])).
% 16.30/12.42 tff(39887,plain,
% 16.30/12.42 (((~![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)))),
% 16.30/12.42 inference(rewrite,[status(thm)],[])).
% 16.30/12.42 tff(39888,plain,
% 16.30/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0)))),
% 16.30/12.42 inference(quant_inst,[status(thm)],[])).
% 16.30/12.42 tff(39889,plain,
% 16.30/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0))),
% 16.30/12.42 inference(modus_ponens,[status(thm)],[39888, 39887])).
% 16.30/12.42 tff(39890,plain,
% 16.30/12.42 (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39889, 1275, 576])).
% 16.30/12.42 tff(39891,plain,
% 16.30/12.42 ((~(v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0))) | (~v88(constB141, bitIndex0)) | v90(constB141, bitIndex0)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39892,plain,
% 16.30/12.42 (~v88(constB141, bitIndex0)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39891, 22314, 39890])).
% 16.30/12.42 tff(39893,plain,
% 16.30/12.42 (((~![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)))),
% 16.30/12.42 inference(rewrite,[status(thm)],[])).
% 16.30/12.42 tff(39894,plain,
% 16.30/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1)))),
% 16.30/12.42 inference(quant_inst,[status(thm)],[])).
% 16.30/12.42 tff(39895,plain,
% 16.30/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1))),
% 16.30/12.42 inference(modus_ponens,[status(thm)],[39894, 39893])).
% 16.30/12.42 tff(39896,plain,
% 16.30/12.42 (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39895, 1288, 576])).
% 16.30/12.42 tff(39897,plain,
% 16.30/12.42 ((~(v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1))) | (~v88(constB141, bitIndex1)) | v90(constB141, bitIndex1)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39898,plain,
% 16.30/12.42 (~v88(constB141, bitIndex1)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39897, 22345, 39896])).
% 16.30/12.42 tff(39899,plain,
% 16.30/12.42 ((~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39900,plain,
% 16.30/12.42 (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39899, 39898, 39892, 39843])).
% 16.30/12.42 tff(39901,plain,
% 16.30/12.42 ((~(v146(constB141) <=> (~(v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))))) | v146(constB141) | (v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39902,plain,
% 16.30/12.42 (v146(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39901, 39900, 39886])).
% 16.30/12.42 tff(39903,plain,
% 16.30/12.42 ((v146(constB141) | v147(constB141)) | (~v146(constB141))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39904,plain,
% 16.30/12.42 (v146(constB141) | v147(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39903, 39902])).
% 16.30/12.42 tff(39905,plain,
% 16.30/12.42 ((~(v145(constB141) <=> (v146(constB141) | v147(constB141)))) | v145(constB141) | (~(v146(constB141) | v147(constB141)))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39906,plain,
% 16.30/12.42 (v145(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39905, 39904, 39879])).
% 16.30/12.42 tff(39907,plain,
% 16.30/12.42 ((v145(constB141) | v166(constB141)) | (~v145(constB141))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39908,plain,
% 16.30/12.42 (v145(constB141) | v166(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39907, 39906])).
% 16.30/12.42 tff(39909,plain,
% 16.30/12.42 ((~(v165(constB141) <=> (v145(constB141) | v166(constB141)))) | v165(constB141) | (~(v145(constB141) | v166(constB141)))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39910,plain,
% 16.30/12.42 (v165(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39909, 39908, 39877])).
% 16.30/12.42 tff(39911,plain,
% 16.30/12.42 (((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB141)) | (v162(constB141) <=> v169(constB141)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB141)) | (v162(constB141) <=> v169(constB141)))),
% 16.30/12.42 inference(rewrite,[status(thm)],[])).
% 16.30/12.42 tff(39912,plain,
% 16.30/12.42 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | ((~v165(constB141)) | (v162(constB141) <=> v169(constB141)))),
% 16.30/12.42 inference(quant_inst,[status(thm)],[])).
% 16.30/12.42 tff(39913,plain,
% 16.30/12.42 ((~![VarNext: $i] : ((~v165(VarNext)) | (v162(VarNext) <=> v169(VarNext)))) | (~v165(constB141)) | (v162(constB141) <=> v169(constB141))),
% 16.30/12.42 inference(modus_ponens,[status(thm)],[39912, 39911])).
% 16.30/12.42 tff(39914,plain,
% 16.30/12.42 ((~v165(constB141)) | (v162(constB141) <=> v169(constB141))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39913, 2426])).
% 16.30/12.42 tff(39915,plain,
% 16.30/12.42 (v162(constB141) <=> v169(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39914, 39910])).
% 16.30/12.42 tff(39916,plain,
% 16.30/12.42 ((~(v162(constB141) <=> v169(constB141))) | (~v162(constB141)) | v169(constB141)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39917,plain,
% 16.30/12.42 (~v162(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39916, 39915, 39875])).
% 16.30/12.42 tff(39918,plain,
% 16.30/12.42 ((~(v160(constB141) <=> v162(constB141))) | (~v160(constB141)) | v162(constB141)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39919,plain,
% 16.30/12.42 ((~(v160(constB141) <=> v162(constB141))) | (~v160(constB141))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39918, 39917])).
% 16.30/12.42 tff(39920,plain,
% 16.30/12.42 (~v160(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39919, 39835])).
% 16.30/12.42 tff(39921,plain,
% 16.30/12.42 (((~v184(constB141)) | (~v160(constB141))) | v160(constB141)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39922,plain,
% 16.30/12.42 ((~v184(constB141)) | (~v160(constB141))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39921, 39920])).
% 16.30/12.42 tff(39923,plain,
% 16.30/12.42 ((~(v187(constB141) <=> (~((~v184(constB141)) | (~v160(constB141)))))) | (~v187(constB141)) | (~((~v184(constB141)) | (~v160(constB141))))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39924,plain,
% 16.30/12.42 (~v187(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39923, 39922, 39833])).
% 16.30/12.42 tff(39925,plain,
% 16.30/12.42 (((~v186(constB141)) | (~v187(constB141))) | v187(constB141)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39926,plain,
% 16.30/12.42 ((~v186(constB141)) | (~v187(constB141))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39925, 39924])).
% 16.30/12.42 tff(39927,plain,
% 16.30/12.42 ((~(v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141)))))) | (~v185(constB141)) | (~((~v186(constB141)) | (~v187(constB141))))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39928,plain,
% 16.30/12.42 (~v185(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39927, 39926, 39831])).
% 16.30/12.42 tff(39929,plain,
% 16.30/12.42 ((~(v181(constB141) | v185(constB141))) | v181(constB141) | v185(constB141)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39930,plain,
% 16.30/12.42 (~(v181(constB141) | v185(constB141))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39929, 39928, 39829])).
% 16.30/12.42 tff(39931,plain,
% 16.30/12.42 ((~(v178(constB141) <=> (v181(constB141) | v185(constB141)))) | (~v178(constB141)) | (v181(constB141) | v185(constB141))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39932,plain,
% 16.30/12.42 (~v178(constB141)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39931, 39930, 39756])).
% 16.30/12.42 tff(39933,plain,
% 16.30/12.42 ((~(v180(constB142) <=> v178(constB141))) | (~v180(constB142)) | v178(constB141)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39934,plain,
% 16.30/12.42 (~v180(constB142)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39933, 39932, 39754])).
% 16.30/12.42 tff(39935,plain,
% 16.30/12.42 ((~(v158(constB142) <=> v180(constB142))) | (~v158(constB142)) | v180(constB142)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39936,plain,
% 16.30/12.42 (~v158(constB142)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39935, 39934, 39750])).
% 16.30/12.42 tff(39937,plain,
% 16.30/12.42 (((~v158(constB142)) | (~v182(constB142))) | v158(constB142)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39938,plain,
% 16.30/12.42 ((~v158(constB142)) | (~v182(constB142))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39937, 39936])).
% 16.30/12.42 tff(39939,plain,
% 16.30/12.42 ((~(v181(constB142) <=> (~((~v158(constB142)) | (~v182(constB142)))))) | (~v181(constB142)) | (~((~v158(constB142)) | (~v182(constB142))))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39940,plain,
% 16.30/12.42 (~v181(constB142)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39939, 39938, 39748])).
% 16.30/12.42 tff(39941,plain,
% 16.30/12.42 ((~(v181(constB142) | v185(constB142))) | v181(constB142) | v185(constB142)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39942,plain,
% 16.30/12.42 (~(v181(constB142) | v185(constB142))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39941, 39940, 39741])).
% 16.30/12.42 tff(39943,plain,
% 16.30/12.42 ((~(v178(constB142) <=> (v181(constB142) | v185(constB142)))) | (~v178(constB142)) | (v181(constB142) | v185(constB142))),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39944,plain,
% 16.30/12.42 (~v178(constB142)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39943, 39942, 39716])).
% 16.30/12.42 tff(39945,plain,
% 16.30/12.42 ((~(v180(constB143) <=> v178(constB142))) | (~v180(constB143)) | v178(constB142)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39946,plain,
% 16.30/12.42 (~v180(constB143)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39945, 39944, 39714])).
% 16.30/12.42 tff(39947,plain,
% 16.30/12.42 ((~(v158(constB143) <=> v180(constB143))) | (~v158(constB143)) | v180(constB143)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39948,plain,
% 16.30/12.42 (~v158(constB143)),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39947, 39946, 39710])).
% 16.30/12.42 tff(39949,plain,
% 16.30/12.42 (((~v158(constB143)) | (~v199(constB143))) | v158(constB143)),
% 16.30/12.42 inference(tautology,[status(thm)],[])).
% 16.30/12.42 tff(39950,plain,
% 16.30/12.42 ((~v158(constB143)) | (~v199(constB143))),
% 16.30/12.42 inference(unit_resolution,[status(thm)],[39949, 39948])).
% 16.30/12.42 tff(39951,plain,
% 16.30/12.42 ((~(v198(constB143) <